TSTP Solution File: HWV033-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV033-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 : Sat Sep 17 02:10:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HWV033-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 22:04:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.45 % SZS status Unsatisfiable
% 0.19/0.45 % SZS output start Proof
% 0.19/0.45 tff(gt_type, type, (
% 0.19/0.45 gt: ( $i * $i ) > $o)).
% 0.19/0.45 tff(rd_level_type, type, (
% 0.19/0.45 rd_level: $i > $i)).
% 0.19/0.45 tff(t_139_type, type, (
% 0.19/0.45 t_139: $i)).
% 0.19/0.45 tff(minus_type, type, (
% 0.19/0.45 minus: ( $i * $i ) > $i)).
% 0.19/0.45 tff(n1_type, type, (
% 0.19/0.45 n1: $i)).
% 0.19/0.45 tff(fifo_length_type, type, (
% 0.19/0.45 fifo_length: $i)).
% 0.19/0.45 tff(plus_type, type, (
% 0.19/0.45 plus: ( $i * $i ) > $i)).
% 0.19/0.45 tff(p_Wr_type, type, (
% 0.19/0.45 p_Wr: $i > $o)).
% 0.19/0.45 tff(n0_type, type, (
% 0.19/0.45 n0: $i)).
% 0.19/0.45 tff(int_level_type, type, (
% 0.19/0.45 int_level: $i > $i)).
% 0.19/0.45 tff(p_Rd_type, type, (
% 0.19/0.45 p_Rd: $i > $o)).
% 0.19/0.45 tff(p_Reset_type, type, (
% 0.19/0.45 p_Reset: $i > $o)).
% 0.19/0.45 tff(1,assumption,(~p_Wr(t_139)), introduced(assumption)).
% 0.19/0.45 tff(2,assumption,(rd_level(plus(t_139, n1)) = rd_level(t_139)), introduced(assumption)).
% 0.19/0.45 tff(3,plain,
% 0.19/0.45 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[2])).
% 0.19/0.45 tff(4,plain,
% 0.19/0.45 (gt(rd_level(t_139), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[3])).
% 0.19/0.45 tff(5,plain,
% 0.19/0.45 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[4])).
% 0.19/0.45 tff(6,plain,
% 0.19/0.45 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(rd_level(t_139), minus(fifo_length, n1)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(7,axiom,(~gt(rd_level(t_139), minus(fifo_length, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.19/0.45 tff(8,plain,
% 0.19/0.45 (~gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.45 tff(9,plain,
% 0.19/0.45 (~gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.19/0.45 tff(10,plain,
% 0.19/0.45 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(11,axiom,(gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.19/0.45 tff(12,plain,
% 0.19/0.45 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.19/0.45 tff(13,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[12, 9])).
% 0.19/0.45 tff(14,plain,(~(rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(15,assumption,(rd_level(plus(t_139, n1)) = n0), introduced(assumption)).
% 0.19/0.45 tff(16,assumption,(rd_level(t_139) = n0), introduced(assumption)).
% 0.19/0.45 tff(17,plain,
% 0.19/0.45 (n0 = rd_level(t_139)),
% 0.19/0.45 inference(symmetry,[status(thm)],[16])).
% 0.19/0.45 tff(18,plain,
% 0.19/0.45 (rd_level(plus(t_139, n1)) = rd_level(t_139)),
% 0.19/0.45 inference(transitivity,[status(thm)],[15, 17])).
% 0.19/0.45 tff(19,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[14, 18])).
% 0.19/0.45 tff(20,plain,((~(rd_level(t_139) = n0)) | (~(rd_level(plus(t_139, n1)) = n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(21,plain,
% 0.19/0.45 (~(rd_level(t_139) = n0)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[20, 15])).
% 0.19/0.45 tff(22,assumption,(~(rd_level(t_139) = n0)), introduced(assumption)).
% 0.19/0.45 tff(23,assumption,(~gt(rd_level(t_139), n0)), introduced(assumption)).
% 0.19/0.45 tff(24,plain,
% 0.19/0.45 (^[X_25: $i] : refl(((X_25 = n0) | gt(X_25, n0)) <=> ((X_25 = n0) | gt(X_25, n0)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(25,plain,
% 0.19/0.45 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0)) <=> ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.45 tff(26,plain,
% 0.19/0.45 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0)) <=> ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(27,axiom,(![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_15')).
% 0.19/0.45 tff(28,plain,
% 0.19/0.45 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.45 tff(29,plain,(
% 0.19/0.45 ![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.45 inference(skolemize,[status(sab)],[28])).
% 0.19/0.45 tff(30,plain,
% 0.19/0.45 (![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.19/0.45 tff(31,plain,
% 0.19/0.45 (((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | ((rd_level(t_139) = n0) | gt(rd_level(t_139), n0))) <=> ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | (rd_level(t_139) = n0) | gt(rd_level(t_139), n0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(32,plain,
% 0.19/0.45 ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | ((rd_level(t_139) = n0) | gt(rd_level(t_139), n0))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(33,plain,
% 0.19/0.45 ((~![X_25: $i] : ((X_25 = n0) | gt(X_25, n0))) | (rd_level(t_139) = n0) | gt(rd_level(t_139), n0)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.45 tff(34,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[33, 30, 23, 22])).
% 0.19/0.45 tff(35,plain,(gt(rd_level(t_139), n0) | (rd_level(t_139) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(36,plain,
% 0.19/0.45 (gt(rd_level(t_139), n0)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[35, 21])).
% 0.19/0.45 tff(37,plain,
% 0.19/0.45 (n0 = rd_level(plus(t_139, n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[15])).
% 0.19/0.45 tff(38,plain,
% 0.19/0.45 (gt(n0, minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[37])).
% 0.19/0.45 tff(39,plain,
% 0.19/0.45 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(n0, minus(fifo_length, n1))),
% 0.19/0.45 inference(symmetry,[status(thm)],[38])).
% 0.19/0.45 tff(40,plain,
% 0.19/0.45 (gt(n0, minus(fifo_length, n1))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[12, 39])).
% 0.19/0.45 tff(41,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(42,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(43,plain,
% 0.19/0.45 (^[Z_21: $i, Y_20: $i, X_19: $i] : rewrite((((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(44,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.45 tff(45,axiom,(![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_13')).
% 0.19/0.45 tff(46,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.19/0.45 tff(47,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.19/0.45 tff(48,plain,(
% 0.19/0.45 ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[47])).
% 0.19/0.45 tff(49,plain,
% 0.19/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.19/0.45 tff(50,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(51,plain,
% 0.19/0.45 (((~gt(n0, minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(rd_level(t_139), n0))) <=> (gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(52,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(rd_level(t_139), n0)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[51])).
% 0.19/0.45 tff(53,plain,
% 0.19/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(rd_level(t_139), n0)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[52, 50])).
% 0.19/0.45 tff(54,plain,
% 0.19/0.45 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(rd_level(t_139), n0)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(55,plain,
% 0.19/0.45 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (~gt(n0, minus(fifo_length, n1))) | (~gt(rd_level(t_139), n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.19/0.45 tff(56,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[55, 49, 8, 40, 36])).
% 0.19/0.45 tff(57,plain,(~(rd_level(plus(t_139, n1)) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(58,plain,
% 0.19/0.45 (^[X_t_37: $i] : refl(((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(59,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.45 tff(60,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(61,axiom,(![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_28')).
% 0.19/0.45 tff(62,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.19/0.45 tff(63,plain,(
% 0.19/0.45 ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(skolemize,[status(sab)],[62])).
% 0.19/0.45 tff(64,plain,
% 0.19/0.45 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.19/0.45 tff(65,plain,
% 0.19/0.45 (((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))) <=> ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(66,plain,
% 0.19/0.45 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(67,plain,
% 0.19/0.45 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.45 tff(68,plain,
% 0.19/0.45 ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[67, 64])).
% 0.19/0.45 tff(69,plain,
% 0.19/0.45 (~p_Reset(t_139)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[68, 57])).
% 0.19/0.45 tff(70,assumption,(~(rd_level(plus(t_139, n1)) = rd_level(t_139))), introduced(assumption)).
% 0.19/0.45 tff(71,assumption,(~p_Reset(t_139)), introduced(assumption)).
% 0.19/0.45 tff(72,assumption,(~p_Rd(t_139)), introduced(assumption)).
% 0.19/0.45 tff(73,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(74,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[73])).
% 0.19/0.46 tff(75,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(76,plain,
% 0.19/0.46 (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(77,plain,
% 0.19/0.46 (![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[76])).
% 0.19/0.46 tff(78,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_81')).
% 0.19/0.46 tff(79,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.46 tff(80,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.19/0.46 tff(81,plain,(
% 0.19/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(skolemize,[status(sab)],[80])).
% 0.19/0.46 tff(82,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.19/0.46 tff(83,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(84,plain,
% 0.19/0.46 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139)) <=> (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(85,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[84])).
% 0.19/0.46 tff(86,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[85, 83])).
% 0.19/0.46 tff(87,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(88,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.19/0.46 tff(89,plain,
% 0.19/0.46 (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[88, 82])).
% 0.19/0.46 tff(90,plain,
% 0.19/0.46 (p_Wr(t_139)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[89, 72, 71, 70])).
% 0.19/0.46 tff(91,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(92,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[91])).
% 0.19/0.46 tff(93,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(94,plain,
% 0.19/0.46 (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(95,plain,
% 0.19/0.46 (![X_t_42: $i] : (((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[94])).
% 0.19/0.46 tff(96,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_33')).
% 0.19/0.46 tff(97,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.19/0.46 tff(98,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.19/0.46 tff(99,plain,(
% 0.19/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[98])).
% 0.19/0.46 tff(100,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.19/0.46 tff(101,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(102,plain,
% 0.19/0.46 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139))) <=> (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(103,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[102])).
% 0.19/0.46 tff(104,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[103, 101])).
% 0.19/0.46 tff(105,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(106,plain,
% 0.19/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.19/0.46 tff(107,plain,
% 0.19/0.46 (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[106, 100])).
% 0.19/0.46 tff(108,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[107, 90, 72, 71, 70])).
% 0.19/0.46 tff(109,plain,(p_Rd(t_139) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(110,plain,
% 0.19/0.46 (p_Rd(t_139)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[109, 69, 14])).
% 0.19/0.46 tff(111,plain,
% 0.19/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(112,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.46 tff(113,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(114,plain,
% 0.19/0.46 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(115,plain,
% 0.19/0.46 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[114])).
% 0.19/0.46 tff(116,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_77')).
% 0.19/0.46 tff(117,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.19/0.46 tff(118,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[117, 113])).
% 0.19/0.46 tff(119,plain,(
% 0.19/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(skolemize,[status(sab)],[118])).
% 0.19/0.46 tff(120,plain,
% 0.19/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[119, 112])).
% 0.19/0.46 tff(121,plain,
% 0.19/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(122,plain,
% 0.19/0.46 ((p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0)) <=> (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(123,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[122])).
% 0.19/0.47 tff(124,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.19/0.47 inference(transitivity,[status(thm)],[123, 121])).
% 0.19/0.47 tff(125,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(126,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.47 tff(127,plain,
% 0.19/0.47 (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[126, 120])).
% 0.19/0.47 tff(128,plain,
% 0.19/0.47 (p_Wr(t_139) | gt(int_level(t_139), n0)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[127, 69, 14, 110])).
% 0.19/0.47 tff(129,plain,
% 0.19/0.47 (gt(int_level(t_139), n0)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[128, 1])).
% 0.19/0.47 tff(130,plain,
% 0.19/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(131,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[130])).
% 0.19/0.47 tff(132,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(133,plain,
% 0.19/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(134,plain,
% 0.19/0.47 (![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[133])).
% 0.19/0.47 tff(135,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_75')).
% 0.19/0.47 tff(136,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.19/0.47 tff(137,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.19/0.47 tff(138,plain,(
% 0.19/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[137])).
% 0.19/0.47 tff(139,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.19/0.47 tff(140,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(141,plain,
% 0.19/0.47 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))) <=> (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(142,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[141])).
% 0.19/0.47 tff(143,plain,
% 0.19/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[142, 140])).
% 0.19/0.47 tff(144,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(145,plain,
% 0.19/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.47 tff(146,plain,
% 0.19/0.47 (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[145, 139])).
% 0.19/0.47 tff(147,plain,
% 0.19/0.47 (p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[146, 69, 57, 110])).
% 0.19/0.47 tff(148,plain,
% 0.19/0.47 (gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[147, 129, 1])).
% 0.19/0.47 tff(149,assumption,(~(rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))), introduced(assumption)).
% 0.19/0.47 tff(150,assumption,(gt(minus(fifo_length, n1), rd_level(t_139))), introduced(assumption)).
% 0.19/0.47 tff(151,plain,
% 0.19/0.47 (p_Rd(t_139)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[109, 70, 71])).
% 0.19/0.47 tff(152,plain,
% 0.19/0.47 (gt(int_level(t_139), n0)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[127, 1, 71, 70, 151])).
% 0.19/0.47 tff(153,plain,
% 0.19/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(154,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[153])).
% 0.19/0.47 tff(155,plain,
% 0.19/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(156,plain,
% 0.19/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(157,plain,
% 0.19/0.48 (![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[156])).
% 0.19/0.48 tff(158,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_74')).
% 0.19/0.48 tff(159,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.19/0.48 tff(160,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.19/0.48 tff(161,plain,(
% 0.19/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(skolemize,[status(sab)],[160])).
% 0.19/0.48 tff(162,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[161, 154])).
% 0.19/0.48 tff(163,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(164,plain,
% 0.19/0.48 ((p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))) <=> (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(165,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[164])).
% 0.19/0.48 tff(166,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[165, 163])).
% 0.19/0.48 tff(167,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(168,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.19/0.48 tff(169,plain,
% 0.19/0.48 (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[168, 162])).
% 0.19/0.48 tff(170,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[169, 152, 1, 71, 151, 150, 149])).
% 0.19/0.48 tff(171,plain,(p_Wr(t_139) | p_Reset(t_139) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(172,plain,
% 0.19/0.48 (p_Wr(t_139) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[171, 14, 69])).
% 0.19/0.48 tff(173,plain,
% 0.19/0.48 (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[172, 148, 1])).
% 0.19/0.48 tff(174,plain,
% 0.19/0.48 (plus(rd_level(t_139), n1) = rd_level(plus(t_139, n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[173])).
% 0.19/0.48 tff(175,plain,
% 0.19/0.48 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[174])).
% 0.19/0.48 tff(176,plain,
% 0.19/0.48 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[175])).
% 0.19/0.48 tff(177,plain,
% 0.19/0.48 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[12, 176])).
% 0.19/0.48 tff(178,plain,
% 0.19/0.48 (^[Y_16: $i, X_15: $i] : refl((gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(179,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[178])).
% 0.19/0.48 tff(180,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(181,plain,
% 0.19/0.48 (^[Y_16: $i, X_15: $i] : rewrite((((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16)) <=> (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(182,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16)) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[181])).
% 0.19/0.48 tff(183,axiom,(![Y_16: $i, X_15: $i] : (((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_11')).
% 0.19/0.48 tff(184,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.19/0.48 tff(185,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.19/0.48 tff(186,plain,(
% 0.19/0.48 ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[185])).
% 0.19/0.48 tff(187,plain,
% 0.19/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.19/0.48 tff(188,plain,
% 0.19/0.48 (((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (rd_level(t_139) = minus(fifo_length, n1)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))) <=> ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (rd_level(t_139) = minus(fifo_length, n1)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(189,plain,
% 0.19/0.48 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (rd_level(t_139) = minus(fifo_length, n1)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(190,plain,
% 0.19/0.48 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (rd_level(t_139) = minus(fifo_length, n1)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.19/0.48 tff(191,plain,
% 0.19/0.48 ((rd_level(t_139) = minus(fifo_length, n1)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[190, 187, 8])).
% 0.19/0.48 tff(192,plain,
% 0.19/0.48 (rd_level(t_139) = minus(fifo_length, n1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[191, 177])).
% 0.19/0.48 tff(193,plain,
% 0.19/0.48 (minus(fifo_length, n1) = rd_level(t_139)),
% 0.19/0.48 inference(symmetry,[status(thm)],[192])).
% 0.19/0.48 tff(194,plain,
% 0.19/0.48 (gt(minus(fifo_length, n1), rd_level(t_139)) <=> gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[193, 192])).
% 0.19/0.48 tff(195,plain,
% 0.19/0.48 (gt(rd_level(t_139), minus(fifo_length, n1)) <=> gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.48 inference(symmetry,[status(thm)],[194])).
% 0.19/0.48 tff(196,plain,
% 0.19/0.48 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[195])).
% 0.19/0.48 tff(197,plain,
% 0.19/0.48 (~gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[8, 196])).
% 0.19/0.48 tff(198,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[148, 197])).
% 0.19/0.48 tff(199,plain,(p_Wr(t_139)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(200,plain,
% 0.19/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(201,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[200])).
% 0.19/0.48 tff(202,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(203,plain,
% 0.19/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(204,plain,
% 0.19/0.48 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[203])).
% 0.19/0.48 tff(205,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_60')).
% 0.19/0.48 tff(206,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.19/0.48 tff(207,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.19/0.48 tff(208,plain,(
% 0.19/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(skolemize,[status(sab)],[207])).
% 0.19/0.48 tff(209,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.19/0.48 tff(210,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(211,plain,
% 0.19/0.48 ((p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0)) <=> (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(212,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[211])).
% 0.19/0.48 tff(213,plain,
% 0.19/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.19/0.48 inference(transitivity,[status(thm)],[212, 210])).
% 0.19/0.48 tff(214,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(215,plain,
% 0.19/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.19/0.48 tff(216,plain,
% 0.19/0.48 (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[215, 209])).
% 0.19/0.48 tff(217,plain,
% 0.19/0.48 (gt(int_level(t_139), n0) | (~p_Wr(t_139))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[216, 69, 14, 110])).
% 0.19/0.48 tff(218,plain,
% 0.19/0.48 (gt(int_level(t_139), n0)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[217, 199])).
% 0.19/0.48 tff(219,plain,
% 0.19/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(220,plain,
% 0.19/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[219])).
% 0.19/0.49 tff(221,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(222,plain,
% 0.19/0.49 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(223,plain,
% 0.19/0.49 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[222])).
% 0.19/0.49 tff(224,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_57')).
% 0.19/0.49 tff(225,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.19/0.49 tff(226,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[225, 221])).
% 0.19/0.49 tff(227,plain,(
% 0.19/0.49 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(skolemize,[status(sab)],[226])).
% 0.19/0.49 tff(228,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[227, 220])).
% 0.19/0.49 tff(229,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(230,plain,
% 0.19/0.49 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(231,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[230])).
% 0.19/0.49 tff(232,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.19/0.49 inference(transitivity,[status(thm)],[231, 229])).
% 0.19/0.49 tff(233,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(234,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.19/0.49 tff(235,plain,
% 0.19/0.49 (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[234, 228])).
% 0.19/0.49 tff(236,plain,
% 0.19/0.49 ((~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[235, 69, 57, 110])).
% 0.19/0.49 tff(237,plain,
% 0.19/0.49 (gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[236, 218, 199])).
% 0.19/0.49 tff(238,plain,
% 0.19/0.49 (p_Wr(t_139)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[171, 70, 150, 149, 71])).
% 0.19/0.49 tff(239,plain,
% 0.19/0.49 (gt(int_level(t_139), n0)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[216, 238, 71, 70, 151])).
% 0.19/0.49 tff(240,plain,
% 0.19/0.49 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(241,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[240])).
% 0.19/0.49 tff(242,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(243,plain,
% 0.19/0.49 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(244,plain,
% 0.19/0.49 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[243])).
% 0.19/0.49 tff(245,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_56')).
% 0.19/0.49 tff(246,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.19/0.49 tff(247,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[246, 242])).
% 0.19/0.49 tff(248,plain,(
% 0.19/0.49 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(skolemize,[status(sab)],[247])).
% 0.19/0.49 tff(249,plain,
% 0.19/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[248, 241])).
% 0.19/0.49 tff(250,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(251,plain,
% 0.19/0.49 ((p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(252,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[251])).
% 0.19/0.49 tff(253,plain,
% 0.19/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.49 inference(transitivity,[status(thm)],[252, 250])).
% 0.19/0.49 tff(254,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(255,plain,
% 0.19/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.19/0.49 tff(256,plain,
% 0.19/0.49 (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (~p_Wr(t_139)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[255, 249])).
% 0.19/0.49 tff(257,plain,
% 0.19/0.49 ($false),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[256, 239, 238, 71, 151, 150, 149])).
% 0.19/0.49 tff(258,plain,((rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Reset(t_139) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.50 tff(259,plain,
% 0.19/0.50 ((~gt(minus(fifo_length, n1), rd_level(t_139))) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[258, 14, 69])).
% 0.19/0.50 tff(260,plain,
% 0.19/0.50 (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[259, 237])).
% 0.19/0.50 tff(261,plain,
% 0.19/0.50 (plus(rd_level(t_139), n1) = rd_level(plus(t_139, n1))),
% 0.19/0.50 inference(symmetry,[status(thm)],[260])).
% 0.19/0.50 tff(262,plain,
% 0.19/0.50 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[261])).
% 0.19/0.50 tff(263,plain,
% 0.19/0.50 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.19/0.50 inference(symmetry,[status(thm)],[262])).
% 0.19/0.50 tff(264,plain,
% 0.19/0.50 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[12, 263])).
% 0.19/0.50 tff(265,plain,
% 0.19/0.50 (rd_level(t_139) = minus(fifo_length, n1)),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[191, 264])).
% 0.19/0.50 tff(266,plain,
% 0.19/0.50 (minus(fifo_length, n1) = rd_level(t_139)),
% 0.19/0.50 inference(symmetry,[status(thm)],[265])).
% 0.19/0.50 tff(267,plain,
% 0.19/0.50 (gt(minus(fifo_length, n1), rd_level(t_139)) <=> gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[266, 265])).
% 0.19/0.50 tff(268,plain,
% 0.19/0.50 (gt(rd_level(t_139), minus(fifo_length, n1)) <=> gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.50 inference(symmetry,[status(thm)],[267])).
% 0.19/0.50 tff(269,plain,
% 0.19/0.50 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[268])).
% 0.19/0.50 tff(270,plain,
% 0.19/0.50 (~gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[8, 269])).
% 0.19/0.50 tff(271,plain,
% 0.19/0.50 ($false),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[237, 270])).
% 0.19/0.50 % SZS output end Proof
%------------------------------------------------------------------------------