TSTP Solution File: SWV423-1.010 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV423-1.010 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:16:49 EDT 2022
% Result : Unsatisfiable 11.21s 7.49s
% Output : Proof 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV423-1.010 : TPTP v8.1.0. Released v3.5.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Sep 4 03:47:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.21/0.35 Usage: tptp [options] [-file:]file
% 0.21/0.35 -h, -? prints this message.
% 0.21/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.21/0.35 -m, -model generate model.
% 0.21/0.35 -p, -proof generate proof.
% 0.21/0.35 -c, -core generate unsat core of named formulas.
% 0.21/0.35 -st, -statistics display statistics.
% 0.21/0.35 -t:timeout set timeout (in second).
% 0.21/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.21/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.21/0.35 -<param>:<value> configuration parameter and value.
% 0.21/0.35 -o:<output-file> file to place output in.
% 11.21/7.49 % SZS status Unsatisfiable
% 11.21/7.49 % SZS output start Proof
% 11.21/7.49 tff(node84_type, type, (
% 11.21/7.49 node84: ( $i * $i ) > $o)).
% 11.21/7.49 tff(s9_type, type, (
% 11.21/7.49 s9: $i)).
% 11.21/7.49 tff(c_s_type, type, (
% 11.21/7.49 c_s: $i)).
% 11.21/7.49 tff(m_state_v_gvp_type, type, (
% 11.21/7.49 m_state_v_gvp: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(c_ovf_type, type, (
% 11.21/7.49 c_ovf: $i)).
% 11.21/7.49 tff(node81_type, type, (
% 11.21/7.49 node81: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(s8_type, type, (
% 11.21/7.49 s8: $i)).
% 11.21/7.49 tff(node78_type, type, (
% 11.21/7.49 node78: ( $i * $i ) > $o)).
% 11.21/7.49 tff(m_state_v_CVM_type, type, (
% 11.21/7.49 m_state_v_CVM: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(c_down_type, type, (
% 11.21/7.49 c_down: $i)).
% 11.21/7.49 tff(node98_type, type, (
% 11.21/7.49 node98: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(s7_type, type, (
% 11.21/7.49 s7: $i)).
% 11.21/7.49 tff(node96_type, type, (
% 11.21/7.49 node96: ( $i * $i ) > $o)).
% 11.21/7.49 tff(m_state_v_gob_type, type, (
% 11.21/7.49 m_state_v_gob: ( $i * $i ) > $o)).
% 11.21/7.49 tff(node73_type, type, (
% 11.21/7.49 node73: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(s6_type, type, (
% 11.21/7.49 s6: $i)).
% 11.21/7.49 tff(m_state_v_CHM_type, type, (
% 11.21/7.49 m_state_v_CHM: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(c_todepbelt_type, type, (
% 11.21/7.49 c_todepbelt: $i)).
% 11.21/7.49 tff(node104_type, type, (
% 11.21/7.49 node104: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(s5_type, type, (
% 11.21/7.49 s5: $i)).
% 11.21/7.49 tff(node105_type, type, (
% 11.21/7.49 node105: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(trans_type, type, (
% 11.21/7.49 trans: ( $i * $i ) > $o)).
% 11.21/7.49 tff(succ_type, type, (
% 11.21/7.49 succ: ( $i * $i ) > $o)).
% 11.21/7.49 tff(m_Crane_v_s_type, type, (
% 11.21/7.49 m_Crane_v_s: ( $i * $i ) > $o)).
% 11.21/7.49 tff(c_CR_type, type, (
% 11.21/7.49 c_CR: $i)).
% 11.21/7.49 tff(node101_type, type, (
% 11.21/7.49 node101: ( $i * $i ) > $o)).
% 11.21/7.49 tff(c_tofeedbelt_type, type, (
% 11.21/7.49 c_tofeedbelt: $i)).
% 11.21/7.49 tff(c_idle_type, type, (
% 11.21/7.49 c_idle: $i)).
% 11.21/7.49 tff(s4_type, type, (
% 11.21/7.49 s4: $i)).
% 11.21/7.49 tff(s3_type, type, (
% 11.21/7.49 s3: $i)).
% 11.21/7.49 tff(m_state_v_gof_type, type, (
% 11.21/7.49 m_state_v_gof: ( $i * $i ) > $o)).
% 11.21/7.49 tff(s2_type, type, (
% 11.21/7.49 s2: $i)).
% 11.21/7.49 tff(s1_type, type, (
% 11.21/7.49 s1: $i)).
% 11.21/7.49 tff(s0_type, type, (
% 11.21/7.49 s0: $i)).
% 11.21/7.49 tff(node75_type, type, (
% 11.21/7.49 node75: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(node76_type, type, (
% 11.21/7.49 node76: ( $i * $i * $i ) > $o)).
% 11.21/7.49 tff(m_Sensor_v_s_type, type, (
% 11.21/7.49 m_Sensor_v_s: ( $i * $i ) > $o)).
% 11.21/7.49 tff(c_SEN_type, type, (
% 11.21/7.49 c_SEN: $i)).
% 11.21/7.49 tff(node103_type, type, (
% 11.21/7.49 node103: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node100_type, type, (
% 11.21/7.50 node100: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_sd_type, type, (
% 11.21/7.50 c_sd: $i)).
% 11.21/7.50 tff(c_ovb_type, type, (
% 11.21/7.50 c_ovb: $i)).
% 11.21/7.50 tff(node102_type, type, (
% 11.21/7.50 node102: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_CMag_type, type, (
% 11.21/7.50 m_state_v_CMag: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_off_type, type, (
% 11.21/7.50 c_off: $i)).
% 11.21/7.50 tff(c_on_type, type, (
% 11.21/7.50 c_on: $i)).
% 11.21/7.50 tff(node82_type, type, (
% 11.21/7.50 node82: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node77_type, type, (
% 11.21/7.50 node77: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_up_type, type, (
% 11.21/7.50 c_up: $i)).
% 11.21/7.50 tff(node79_type, type, (
% 11.21/7.50 node79: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node80_type, type, (
% 11.21/7.50 node80: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node99_type, type, (
% 11.21/7.50 node99: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node97_type, type, (
% 11.21/7.50 node97: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node92_type, type, (
% 11.21/7.50 node92: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node95_type, type, (
% 11.21/7.50 node95: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node93_type, type, (
% 11.21/7.50 node93: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node94_type, type, (
% 11.21/7.50 node94: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_gripper_status_type, type, (
% 11.21/7.50 m_state_v_gripper_status: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_gripperstoppedat_ovb_type, type, (
% 11.21/7.50 c_gripperstoppedat_ovb: $i)).
% 11.21/7.50 tff(node87_type, type, (
% 11.21/7.50 node87: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node74_type, type, (
% 11.21/7.50 node74: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_ff_type, type, (
% 11.21/7.50 m_state_v_ff: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node15_type, type, (
% 11.21/7.50 node15: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node14_type, type, (
% 11.21/7.50 node14: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node13_type, type, (
% 11.21/7.50 node13: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_FBM_type, type, (
% 11.21/7.50 m_state_v_FBM: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node184_type, type, (
% 11.21/7.50 node184: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node182_type, type, (
% 11.21/7.50 node182: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node185_type, type, (
% 11.21/7.50 node185: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_FeedBelt_v_s_type, type, (
% 11.21/7.50 m_FeedBelt_v_s: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_FB_type, type, (
% 11.21/7.50 c_FB: $i)).
% 11.21/7.50 tff(node183_type, type, (
% 11.21/7.50 node183: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_tl_type, type, (
% 11.21/7.50 m_state_v_tl: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node3_type, type, (
% 11.21/7.50 node3: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node4_type, type, (
% 11.21/7.50 node4: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_Communication_v_s_type, type, (
% 11.21/7.50 m_Communication_v_s: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_COM_type, type, (
% 11.21/7.50 c_COM: $i)).
% 11.21/7.50 tff(node1_type, type, (
% 11.21/7.50 node1: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_A1M_type, type, (
% 11.21/7.50 m_state_v_A1M: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_retract_type, type, (
% 11.21/7.50 c_retract: $i)).
% 11.21/7.50 tff(node2_type, type, (
% 11.21/7.50 node2: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_pfl_type, type, (
% 11.21/7.50 m_state_v_pfl: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_botPos_type, type, (
% 11.21/7.50 m_state_v_botPos: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node24_type, type, (
% 11.21/7.50 node24: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_TEM_type, type, (
% 11.21/7.50 m_state_v_TEM: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node175_type, type, (
% 11.21/7.50 node175: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_ERTable_v_s_type, type, (
% 11.21/7.50 m_ERTable_v_s: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_ERT_type, type, (
% 11.21/7.50 c_ERT: $i)).
% 11.21/7.50 tff(m_state_v_TRM_type, type, (
% 11.21/7.50 m_state_v_TRM: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_minRot_type, type, (
% 11.21/7.50 m_state_v_minRot: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node16_type, type, (
% 11.21/7.50 node16: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node90_type, type, (
% 11.21/7.50 node90: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node89_type, type, (
% 11.21/7.50 node89: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node88_type, type, (
% 11.21/7.50 node88: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node91_type, type, (
% 11.21/7.50 node91: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_pbe_type, type, (
% 11.21/7.50 m_state_v_pbe: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node12_type, type, (
% 11.21/7.50 node12: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_extend_type, type, (
% 11.21/7.50 c_extend: $i)).
% 11.21/7.50 tff(node130_type, type, (
% 11.21/7.50 node130: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node122_type, type, (
% 11.21/7.50 node122: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_a1ext_type, type, (
% 11.21/7.50 m_state_v_a1ext: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_ot_type, type, (
% 11.21/7.50 c_ot: $i)).
% 11.21/7.50 tff(c_retracted_type, type, (
% 11.21/7.50 c_retracted: $i)).
% 11.21/7.50 tff(node29_type, type, (
% 11.21/7.50 node29: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_deliv_type, type, (
% 11.21/7.50 m_state_v_deliv: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node179_type, type, (
% 11.21/7.50 node179: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node180_type, type, (
% 11.21/7.50 node180: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node178_type, type, (
% 11.21/7.50 node178: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node176_type, type, (
% 11.21/7.50 node176: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node177_type, type, (
% 11.21/7.50 node177: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node30_type, type, (
% 11.21/7.50 node30: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_angle_type, type, (
% 11.21/7.50 m_state_v_angle: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_arm1topress_type, type, (
% 11.21/7.50 c_arm1topress: $i)).
% 11.21/7.50 tff(node41_type, type, (
% 11.21/7.50 node41: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node42_type, type, (
% 11.21/7.50 node42: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node37_type, type, (
% 11.21/7.50 node37: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_RRM_type, type, (
% 11.21/7.50 m_state_v_RRM: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_counterclock_type, type, (
% 11.21/7.50 c_counterclock: $i)).
% 11.21/7.50 tff(node38_type, type, (
% 11.21/7.50 node38: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_arm2topress_type, type, (
% 11.21/7.50 c_arm2topress: $i)).
% 11.21/7.50 tff(c_arm1totable_type, type, (
% 11.21/7.50 c_arm1totable: $i)).
% 11.21/7.50 tff(node39_type, type, (
% 11.21/7.50 node39: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_arm2todepbelt_type, type, (
% 11.21/7.50 c_arm2todepbelt: $i)).
% 11.21/7.50 tff(node40_type, type, (
% 11.21/7.50 node40: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node32_type, type, (
% 11.21/7.50 node32: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_maxRot_type, type, (
% 11.21/7.50 m_state_v_maxRot: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_topPos_type, type, (
% 11.21/7.50 m_state_v_topPos: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node131_type, type, (
% 11.21/7.50 node131: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_Robot_v_s_type, type, (
% 11.21/7.50 m_Robot_v_s: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_RB_type, type, (
% 11.21/7.50 c_RB: $i)).
% 11.21/7.50 tff(m_state_v_A2Mag_type, type, (
% 11.21/7.50 m_state_v_A2Mag: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_A1Mag_type, type, (
% 11.21/7.50 m_state_v_A1Mag: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_A2M_type, type, (
% 11.21/7.50 m_state_v_A2M: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_a2ext_type, type, (
% 11.21/7.50 m_state_v_a2ext: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node126_type, type, (
% 11.21/7.50 node126: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node127_type, type, (
% 11.21/7.50 node127: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node124_type, type, (
% 11.21/7.50 node124: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node125_type, type, (
% 11.21/7.50 node125: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node128_type, type, (
% 11.21/7.50 node128: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node129_type, type, (
% 11.21/7.50 node129: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node123_type, type, (
% 11.21/7.50 node123: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_pl_type, type, (
% 11.21/7.50 m_state_v_pl: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_a1ip_type, type, (
% 11.21/7.50 c_a1ip: $i)).
% 11.21/7.50 tff(node31_type, type, (
% 11.21/7.50 node31: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node140_type, type, (
% 11.21/7.50 node140: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node141_type, type, (
% 11.21/7.50 node141: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node132_type, type, (
% 11.21/7.50 node132: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node134_type, type, (
% 11.21/7.50 node134: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node136_type, type, (
% 11.21/7.50 node136: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node138_type, type, (
% 11.21/7.50 node138: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node133_type, type, (
% 11.21/7.50 node133: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node135_type, type, (
% 11.21/7.50 node135: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node137_type, type, (
% 11.21/7.50 node137: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node139_type, type, (
% 11.21/7.50 node139: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node148_type, type, (
% 11.21/7.50 node148: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node149_type, type, (
% 11.21/7.50 node149: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node146_type, type, (
% 11.21/7.50 node146: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node147_type, type, (
% 11.21/7.50 node147: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node158_type, type, (
% 11.21/7.50 node158: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node159_type, type, (
% 11.21/7.50 node159: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node157_type, type, (
% 11.21/7.50 node157: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_clockwise_type, type, (
% 11.21/7.50 c_clockwise: $i)).
% 11.21/7.50 tff(node151_type, type, (
% 11.21/7.50 node151: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node154_type, type, (
% 11.21/7.50 node154: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node152_type, type, (
% 11.21/7.50 node152: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node155_type, type, (
% 11.21/7.50 node155: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node156_type, type, (
% 11.21/7.50 node156: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node150_type, type, (
% 11.21/7.50 node150: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node153_type, type, (
% 11.21/7.50 node153: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node144_type, type, (
% 11.21/7.50 node144: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node145_type, type, (
% 11.21/7.50 node145: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node142_type, type, (
% 11.21/7.50 node142: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node143_type, type, (
% 11.21/7.50 node143: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node35_type, type, (
% 11.21/7.50 node35: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node36_type, type, (
% 11.21/7.50 node36: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node33_type, type, (
% 11.21/7.50 node33: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node34_type, type, (
% 11.21/7.50 node34: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_gripperstoppedat_ovf_type, type, (
% 11.21/7.50 c_gripperstoppedat_ovf: $i)).
% 11.21/7.50 tff(c_gripperstoppedat_sd_type, type, (
% 11.21/7.50 c_gripperstoppedat_sd: $i)).
% 11.21/7.50 tff(node83_type, type, (
% 11.21/7.50 node83: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node168_type, type, (
% 11.21/7.50 node168: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node165_type, type, (
% 11.21/7.50 node165: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node27_type, type, (
% 11.21/7.50 node27: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node28_type, type, (
% 11.21/7.50 node28: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_counterclockwise_type, type, (
% 11.21/7.50 c_counterclockwise: $i)).
% 11.21/7.50 tff(node169_type, type, (
% 11.21/7.50 node169: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node167_type, type, (
% 11.21/7.50 node167: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node164_type, type, (
% 11.21/7.50 node164: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node166_type, type, (
% 11.21/7.50 node166: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node26_type, type, (
% 11.21/7.50 node26: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node25_type, type, (
% 11.21/7.50 node25: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_a2ip_type, type, (
% 11.21/7.50 c_a2ip: $i)).
% 11.21/7.50 tff(c_ob_type, type, (
% 11.21/7.50 c_ob: $i)).
% 11.21/7.50 tff(node22_type, type, (
% 11.21/7.50 node22: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node21_type, type, (
% 11.21/7.50 node21: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node174_type, type, (
% 11.21/7.50 node174: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node173_type, type, (
% 11.21/7.50 node173: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node23_type, type, (
% 11.21/7.50 node23: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node171_type, type, (
% 11.21/7.50 node171: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node170_type, type, (
% 11.21/7.50 node170: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node172_type, type, (
% 11.21/7.50 node172: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_angle_status_type, type, (
% 11.21/7.50 m_state_v_angle_status: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_arm2stoppedatpress_type, type, (
% 11.21/7.50 c_arm2stoppedatpress: $i)).
% 11.21/7.50 tff(c_arm1stoppedattable_type, type, (
% 11.21/7.50 c_arm1stoppedattable: $i)).
% 11.21/7.50 tff(node48_type, type, (
% 11.21/7.50 node48: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_arm2stoppedatbelt_type, type, (
% 11.21/7.50 c_arm2stoppedatbelt: $i)).
% 11.21/7.50 tff(c_arm1stoppedatpress_type, type, (
% 11.21/7.50 c_arm1stoppedatpress: $i)).
% 11.21/7.50 tff(node19_type, type, (
% 11.21/7.50 node19: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node18_type, type, (
% 11.21/7.50 node18: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node17_type, type, (
% 11.21/7.50 node17: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node20_type, type, (
% 11.21/7.50 node20: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_midPosP_type, type, (
% 11.21/7.50 m_state_v_midPosP: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node55_type, type, (
% 11.21/7.50 node55: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node53_type, type, (
% 11.21/7.50 node53: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_PM_type, type, (
% 11.21/7.50 m_state_v_PM: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node120_type, type, (
% 11.21/7.50 node120: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node121_type, type, (
% 11.21/7.50 node121: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_Press_v_s_type, type, (
% 11.21/7.50 m_Press_v_s: ( $i * $i ) > $o)).
% 11.21/7.50 tff(c_PR_type, type, (
% 11.21/7.50 c_PR: $i)).
% 11.21/7.50 tff(node114_type, type, (
% 11.21/7.50 node114: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node162_type, type, (
% 11.21/7.50 node162: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node163_type, type, (
% 11.21/7.50 node163: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node160_type, type, (
% 11.21/7.50 node160: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node161_type, type, (
% 11.21/7.50 node161: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node119_type, type, (
% 11.21/7.50 node119: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node116_type, type, (
% 11.21/7.50 node116: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node118_type, type, (
% 11.21/7.50 node118: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_topPosP_type, type, (
% 11.21/7.50 m_state_v_topPosP: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node117_type, type, (
% 11.21/7.50 node117: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node115_type, type, (
% 11.21/7.50 node115: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node56_type, type, (
% 11.21/7.50 node56: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node54_type, type, (
% 11.21/7.50 node54: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_press_status_type, type, (
% 11.21/7.50 m_state_v_press_status: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(c_pressatmid_type, type, (
% 11.21/7.50 c_pressatmid: $i)).
% 11.21/7.50 tff(c_pressatbot_type, type, (
% 11.21/7.50 c_pressatbot: $i)).
% 11.21/7.50 tff(node51_type, type, (
% 11.21/7.50 node51: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node52_type, type, (
% 11.21/7.50 node52: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node49_type, type, (
% 11.21/7.50 node49: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node50_type, type, (
% 11.21/7.50 node50: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node65_type, type, (
% 11.21/7.50 node65: ( $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_botPosP_type, type, (
% 11.21/7.50 m_state_v_botPosP: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node59_type, type, (
% 11.21/7.50 node59: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node60_type, type, (
% 11.21/7.50 node60: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node57_type, type, (
% 11.21/7.50 node57: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node58_type, type, (
% 11.21/7.50 node58: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node64_type, type, (
% 11.21/7.50 node64: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node68_type, type, (
% 11.21/7.50 node68: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(m_state_v_fc_type, type, (
% 11.21/7.50 m_state_v_fc: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node62_type, type, (
% 11.21/7.50 node62: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(node61_type, type, (
% 11.21/7.50 node61: ( $i * $i ) > $o)).
% 11.21/7.50 tff(node63_type, type, (
% 11.21/7.50 node63: ( $i * $i * $i ) > $o)).
% 11.21/7.50 tff(loop_type, type, (
% 11.21/7.50 loop: $o)).
% 11.21/7.50 tff(until271_type, type, (
% 11.21/7.50 until271: $i > $o)).
% 11.21/7.50 tff(node275_type, type, (
% 11.21/7.50 node275: $i > $o)).
% 11.21/7.50 tff(until276_type, type, (
% 11.21/7.50 until276: $i > $o)).
% 11.21/7.50 tff(node280_type, type, (
% 11.21/7.50 node280: $i > $o)).
% 11.21/7.50 tff(until281_type, type, (
% 11.21/7.50 until281: $i > $o)).
% 11.21/7.50 tff(node285_type, type, (
% 11.21/7.50 node285: $i > $o)).
% 11.21/7.50 tff(xuntil287_type, type, (
% 11.21/7.50 xuntil287: $i > $o)).
% 11.21/7.50 tff(until286_type, type, (
% 11.21/7.50 until286: $i > $o)).
% 11.21/7.50 tff(node270_type, type, (
% 11.21/7.50 node270: $i > $o)).
% 11.21/7.50 tff(until266_type, type, (
% 11.21/7.50 until266: $i > $o)).
% 11.21/7.50 tff(node265_type, type, (
% 11.21/7.50 node265: $i > $o)).
% 11.21/7.50 tff(until261_type, type, (
% 11.21/7.50 until261: $i > $o)).
% 11.21/7.50 tff(node260_type, type, (
% 11.21/7.50 node260: $i > $o)).
% 11.21/7.50 tff(until256_type, type, (
% 11.21/7.50 until256: $i > $o)).
% 11.21/7.50 tff(node255_type, type, (
% 11.21/7.50 node255: $i > $o)).
% 11.21/7.50 tff(until251_type, type, (
% 11.21/7.50 until251: $i > $o)).
% 11.21/7.50 tff(xuntil252_type, type, (
% 11.21/7.50 xuntil252: $i > $o)).
% 11.21/7.50 tff(node250_type, type, (
% 11.21/7.50 node250: $i > $o)).
% 11.21/7.50 tff(until246_type, type, (
% 11.21/7.50 until246: $i > $o)).
% 11.21/7.50 tff(xuntil247_type, type, (
% 11.21/7.50 xuntil247: $i > $o)).
% 11.21/7.50 tff(node245_type, type, (
% 11.21/7.50 node245: $i > $o)).
% 11.21/7.50 tff(until241_type, type, (
% 11.21/7.50 until241: $i > $o)).
% 11.21/7.50 tff(xuntil242_type, type, (
% 11.21/7.50 xuntil242: $i > $o)).
% 11.21/7.50 tff(node240_type, type, (
% 11.21/7.50 node240: $i > $o)).
% 11.21/7.50 tff(until236_type, type, (
% 11.21/7.50 until236: $i > $o)).
% 11.21/7.50 tff(xuntil237_type, type, (
% 11.21/7.50 xuntil237: $i > $o)).
% 11.21/7.50 tff(node235_type, type, (
% 11.21/7.50 node235: $i > $o)).
% 11.21/7.50 tff(until231_type, type, (
% 11.21/7.50 until231: $i > $o)).
% 11.21/7.50 tff(xuntil232_type, type, (
% 11.21/7.50 xuntil232: $i > $o)).
% 11.21/7.50 tff(node230_type, type, (
% 11.21/7.50 node230: $i > $o)).
% 11.21/7.50 tff(until226_type, type, (
% 11.21/7.50 until226: $i > $o)).
% 11.21/7.50 tff(xuntil227_type, type, (
% 11.21/7.50 xuntil227: $i > $o)).
% 11.21/7.50 tff(node225_type, type, (
% 11.21/7.50 node225: $i > $o)).
% 11.21/7.50 tff(until221_type, type, (
% 11.21/7.50 until221: $i > $o)).
% 11.21/7.50 tff(xuntil222_type, type, (
% 11.21/7.50 xuntil222: $i > $o)).
% 11.21/7.50 tff(node220_type, type, (
% 11.21/7.50 node220: $i > $o)).
% 11.21/7.50 tff(node213_type, type, (
% 11.21/7.50 node213: $i > $o)).
% 11.21/7.50 tff(always212_type, type, (
% 11.21/7.50 always212: $i > $o)).
% 11.21/7.50 tff(last_type, type, (
% 11.21/7.50 last: $i > $o)).
% 11.21/7.50 tff(until216_type, type, (
% 11.21/7.50 until216: $i > $o)).
% 11.21/7.50 tff(node215_type, type, (
% 11.21/7.50 node215: $i > $o)).
% 11.21/7.50 tff(always214_type, type, (
% 11.21/7.50 always214: $i > $o)).
% 11.21/7.50 tff(xuntil217_type, type, (
% 11.21/7.50 xuntil217: $i > $o)).
% 11.21/7.50 tff(node211_type, type, (
% 11.21/7.50 node211: $i > $o)).
% 11.21/7.50 tff(always210_type, type, (
% 11.21/7.50 always210: $i > $o)).
% 11.21/7.50 tff(node209_type, type, (
% 11.21/7.50 node209: $i > $o)).
% 11.21/7.50 tff(always208_type, type, (
% 11.21/7.50 always208: $i > $o)).
% 11.21/7.50 tff(node207_type, type, (
% 11.21/7.50 node207: $i > $o)).
% 11.21/7.50 tff(always206_type, type, (
% 11.21/7.50 always206: $i > $o)).
% 11.21/7.50 tff(node205_type, type, (
% 11.21/7.50 node205: $i > $o)).
% 11.21/7.50 tff(always204_type, type, (
% 11.21/7.50 always204: $i > $o)).
% 11.21/7.50 tff(node203_type, type, (
% 11.21/7.50 node203: $i > $o)).
% 11.21/7.50 tff(always202_type, type, (
% 11.21/7.50 always202: $i > $o)).
% 11.21/7.50 tff(node201_type, type, (
% 11.21/7.50 node201: $i > $o)).
% 11.21/7.50 tff(always200_type, type, (
% 11.21/7.50 always200: $i > $o)).
% 11.21/7.50 tff(node199_type, type, (
% 11.21/7.50 node199: $i > $o)).
% 11.21/7.50 tff(always198_type, type, (
% 11.21/7.50 always198: $i > $o)).
% 11.21/7.50 tff(xuntil257_type, type, (
% 11.21/7.50 xuntil257: $i > $o)).
% 11.21/7.50 tff(node197_type, type, (
% 11.21/7.50 node197: $i > $o)).
% 11.21/7.50 tff(always196_type, type, (
% 11.21/7.50 always196: $i > $o)).
% 11.21/7.50 tff(xuntil262_type, type, (
% 11.21/7.50 xuntil262: $i > $o)).
% 11.21/7.50 tff(node195_type, type, (
% 11.21/7.50 node195: $i > $o)).
% 11.21/7.50 tff(always194_type, type, (
% 11.21/7.50 always194: $i > $o)).
% 11.21/7.50 tff(xuntil267_type, type, (
% 11.21/7.50 xuntil267: $i > $o)).
% 11.21/7.50 tff(node193_type, type, (
% 11.21/7.50 node193: $i > $o)).
% 11.21/7.50 tff(always192_type, type, (
% 11.21/7.50 always192: $i > $o)).
% 11.21/7.50 tff(xuntil272_type, type, (
% 11.21/7.50 xuntil272: $i > $o)).
% 11.21/7.50 tff(node191_type, type, (
% 11.21/7.50 node191: $i > $o)).
% 11.21/7.50 tff(always190_type, type, (
% 11.21/7.50 always190: $i > $o)).
% 11.21/7.50 tff(xuntil277_type, type, (
% 11.21/7.50 xuntil277: $i > $o)).
% 11.21/7.50 tff(node189_type, type, (
% 11.21/7.50 node189: $i > $o)).
% 11.21/7.50 tff(always188_type, type, (
% 11.21/7.50 always188: $i > $o)).
% 11.21/7.50 tff(xuntil282_type, type, (
% 11.21/7.50 xuntil282: $i > $o)).
% 11.21/7.50 tff(node187_type, type, (
% 11.21/7.50 node187: $i > $o)).
% 11.21/7.50 tff(always186_type, type, (
% 11.21/7.50 always186: $i > $o)).
% 11.21/7.50 tff(1,plain,
% 11.21/7.50 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(2,plain,
% 11.21/7.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[1])).
% 11.21/7.50 tff(3,plain,
% 11.21/7.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(4,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 11.21/7.50 tff(5,plain,
% 11.21/7.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[4, 3])).
% 11.21/7.50 tff(6,plain,(
% 11.21/7.50 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.21/7.50 inference(skolemize,[status(sab)],[5])).
% 11.21/7.50 tff(7,plain,
% 11.21/7.50 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[6, 2])).
% 11.21/7.50 tff(8,plain,
% 11.21/7.50 (succ(s5, s6) <=> succ(s5, s6)),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(9,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 11.21/7.50 tff(10,plain,
% 11.21/7.50 (succ(s5, s6)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[9, 8])).
% 11.21/7.50 tff(11,plain,
% 11.21/7.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(12,plain,
% 11.21/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(13,plain,
% 11.21/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[12, 11])).
% 11.21/7.50 tff(14,plain,
% 11.21/7.50 (trans(s5, s6)),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[13, 10, 7])).
% 11.21/7.50 tff(15,plain,
% 11.21/7.50 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(16,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[15])).
% 11.21/7.50 tff(17,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(18,plain,
% 11.21/7.50 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(19,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[18])).
% 11.21/7.50 tff(20,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node105(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_63')).
% 11.21/7.50 tff(21,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[20, 19])).
% 11.21/7.50 tff(22,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[21, 17])).
% 11.21/7.50 tff(23,plain,(
% 11.21/7.50 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(skolemize,[status(sab)],[22])).
% 11.21/7.50 tff(24,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[23, 16])).
% 11.21/7.50 tff(25,plain,
% 11.21/7.50 (m_Crane_v_s(c_CR, c_s) <=> m_Crane_v_s(c_CR, c_s)),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(26,axiom,(m_Crane_v_s(c_CR, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 11.21/7.50 tff(27,plain,
% 11.21/7.50 (m_Crane_v_s(c_CR, c_s)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[26, 25])).
% 11.21/7.50 tff(28,plain,
% 11.21/7.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(29,plain,
% 11.21/7.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6))),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(30,plain,
% 11.21/7.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s5, s6)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[29, 28])).
% 11.21/7.50 tff(31,plain,
% 11.21/7.50 (node105(c_s, s5, s6)),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[30, 27, 24, 14])).
% 11.21/7.50 tff(32,assumption,(m_state_v_gof(c_s, s0)), introduced(assumption)).
% 11.21/7.50 tff(33,plain,
% 11.21/7.50 (^[I0: $i] : refl((~m_state_v_gof(I0, s0)) <=> (~m_state_v_gof(I0, s0)))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(34,plain,
% 11.21/7.50 (![I0: $i] : (~m_state_v_gof(I0, s0)) <=> ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[33])).
% 11.21/7.50 tff(35,plain,
% 11.21/7.50 (![I0: $i] : (~m_state_v_gof(I0, s0)) <=> ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(36,axiom,(![I0: $i] : (~m_state_v_gof(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_114')).
% 11.21/7.50 tff(37,plain,
% 11.21/7.50 (![I0: $i] : (~m_state_v_gof(I0, s0))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[36, 35])).
% 11.21/7.50 tff(38,plain,(
% 11.21/7.50 ![I0: $i] : (~m_state_v_gof(I0, s0))),
% 11.21/7.50 inference(skolemize,[status(sab)],[37])).
% 11.21/7.50 tff(39,plain,
% 11.21/7.50 (![I0: $i] : (~m_state_v_gof(I0, s0))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[38, 34])).
% 11.21/7.50 tff(40,plain,
% 11.21/7.50 ((~![I0: $i] : (~m_state_v_gof(I0, s0))) | (~m_state_v_gof(c_s, s0))),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(41,plain,
% 11.21/7.50 ($false),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[40, 39, 32])).
% 11.21/7.50 tff(42,plain,(~m_state_v_gof(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.21/7.50 tff(43,plain,
% 11.21/7.50 (succ(s0, s1) <=> succ(s0, s1)),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(44,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 11.21/7.50 tff(45,plain,
% 11.21/7.50 (succ(s0, s1)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[44, 43])).
% 11.21/7.50 tff(46,plain,
% 11.21/7.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(47,plain,
% 11.21/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(48,plain,
% 11.21/7.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[47, 46])).
% 11.21/7.50 tff(49,plain,
% 11.21/7.50 (trans(s0, s1)),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[48, 45, 7])).
% 11.21/7.50 tff(50,plain,
% 11.21/7.50 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(51,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[50])).
% 11.21/7.50 tff(52,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(53,plain,
% 11.21/7.50 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(54,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[53])).
% 11.21/7.50 tff(55,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node76(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_171')).
% 11.21/7.50 tff(56,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[55, 54])).
% 11.21/7.50 tff(57,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[56, 52])).
% 11.21/7.50 tff(58,plain,(
% 11.21/7.50 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(skolemize,[status(sab)],[57])).
% 11.21/7.50 tff(59,plain,
% 11.21/7.50 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[58, 51])).
% 11.21/7.50 tff(60,plain,
% 11.21/7.50 (m_Sensor_v_s(c_SEN, c_s) <=> m_Sensor_v_s(c_SEN, c_s)),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(61,axiom,(m_Sensor_v_s(c_SEN, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 11.21/7.50 tff(62,plain,
% 11.21/7.50 (m_Sensor_v_s(c_SEN, c_s)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[61, 60])).
% 11.21/7.50 tff(63,plain,
% 11.21/7.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(64,plain,
% 11.21/7.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1))),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(65,plain,
% 11.21/7.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s0, s1)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[64, 63])).
% 11.21/7.50 tff(66,plain,
% 11.21/7.50 (node76(c_s, s0, s1)),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[65, 62, 59, 49])).
% 11.21/7.50 tff(67,plain,
% 11.21/7.50 (^[I0: $i] : refl(m_state_v_CHM(I0, s0, c_idle) <=> m_state_v_CHM(I0, s0, c_idle))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(68,plain,
% 11.21/7.50 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 11.21/7.50 inference(quant_intro,[status(thm)],[67])).
% 11.21/7.50 tff(69,plain,
% 11.21/7.50 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(70,axiom,(![I0: $i] : m_state_v_CHM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_112')).
% 11.21/7.50 tff(71,plain,
% 11.21/7.50 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[70, 69])).
% 11.21/7.50 tff(72,plain,(
% 11.21/7.50 ![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 11.21/7.50 inference(skolemize,[status(sab)],[71])).
% 11.21/7.50 tff(73,plain,
% 11.21/7.50 (![I0: $i] : m_state_v_CHM(I0, s0, c_idle)),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[72, 68])).
% 11.21/7.50 tff(74,plain,
% 11.21/7.50 ((~![I0: $i] : m_state_v_CHM(I0, s0, c_idle)) | m_state_v_CHM(c_s, s0, c_idle)),
% 11.21/7.50 inference(quant_inst,[status(thm)],[])).
% 11.21/7.50 tff(75,plain,
% 11.21/7.50 (m_state_v_CHM(c_s, s0, c_idle)),
% 11.21/7.50 inference(unit_resolution,[status(thm)],[74, 73])).
% 11.21/7.50 tff(76,plain,
% 11.21/7.50 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))))),
% 11.21/7.50 inference(bind,[status(th)],[])).
% 11.21/7.50 tff(77,plain,
% 11.21/7.50 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.50 inference(quant_intro,[status(thm)],[76])).
% 11.21/7.50 tff(78,plain,
% 11.21/7.50 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(79,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_15')).
% 11.21/7.50 tff(80,plain,
% 11.21/7.50 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[79, 78])).
% 11.21/7.50 tff(81,plain,(
% 11.21/7.50 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.50 inference(skolemize,[status(sab)],[80])).
% 11.21/7.50 tff(82,plain,
% 11.21/7.50 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.50 inference(modus_ponens,[status(thm)],[81, 77])).
% 11.21/7.50 tff(83,plain,
% 11.21/7.50 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(84,plain,
% 11.21/7.50 (((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle))) <=> ((~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)))),
% 11.21/7.50 inference(rewrite,[status(thm)],[])).
% 11.21/7.50 tff(85,plain,
% 11.21/7.50 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt))))),
% 11.21/7.50 inference(monotonicity,[status(thm)],[84])).
% 11.21/7.50 tff(86,plain,
% 11.21/7.50 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt)))),
% 11.21/7.50 inference(transitivity,[status(thm)],[85, 83])).
% 11.21/7.51 tff(87,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(88,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_idle)) | (~m_state_v_CHM(c_s, s0, c_tofeedbelt))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[87, 86])).
% 11.21/7.51 tff(89,plain,
% 11.21/7.51 (~m_state_v_CHM(c_s, s0, c_tofeedbelt)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[88, 82, 75])).
% 11.21/7.51 tff(90,plain,
% 11.21/7.51 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(91,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[90])).
% 11.21/7.51 tff(92,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(93,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_16')).
% 11.21/7.51 tff(94,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[93, 92])).
% 11.21/7.51 tff(95,plain,(
% 11.21/7.51 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[94])).
% 11.21/7.51 tff(96,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[95, 91])).
% 11.21/7.51 tff(97,plain,
% 11.21/7.51 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(98,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(99,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s0, c_todepbelt)) | (~m_state_v_CHM(c_s, s0, c_idle))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[98, 97])).
% 11.21/7.51 tff(100,plain,
% 11.21/7.51 (~m_state_v_CHM(c_s, s0, c_todepbelt)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[99, 96, 75])).
% 11.21/7.51 tff(101,plain,
% 11.21/7.51 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(102,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[101])).
% 11.21/7.51 tff(103,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(104,plain,
% 11.21/7.51 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node75(J0, X, Y)))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node75(J0, X, Y)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y))), (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)))), ((((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)) | (~node76(J0, X, Y))))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))), ((((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(105,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[104])).
% 11.21/7.51 tff(106,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_tofeedbelt) | m_state_v_CHM(J0, X, c_todepbelt)) | node75(J0, X, Y)) | (~node76(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_170')).
% 11.21/7.51 tff(107,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[106, 105])).
% 11.21/7.51 tff(108,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[107, 103])).
% 11.21/7.51 tff(109,plain,(
% 11.21/7.51 ![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[108])).
% 11.21/7.51 tff(110,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[109, 102])).
% 11.21/7.51 tff(111,plain,
% 11.21/7.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(112,plain,
% 11.21/7.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(113,plain,
% 11.21/7.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | node75(c_s, s0, s1) | (~node76(c_s, s0, s1))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[112, 111])).
% 11.21/7.51 tff(114,plain,
% 11.21/7.51 (node75(c_s, s0, s1)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[113, 110, 100, 89, 66])).
% 11.21/7.51 tff(115,plain,
% 11.21/7.51 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(116,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[115])).
% 11.21/7.51 tff(117,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(118,plain,
% 11.21/7.51 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y))) <=> (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(119,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[118])).
% 11.21/7.51 tff(120,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_gof(J0, Y)) | m_state_v_gof(J0, X)) | (~node75(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_167')).
% 11.21/7.51 tff(121,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[120, 119])).
% 11.21/7.51 tff(122,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[121, 117])).
% 11.21/7.51 tff(123,plain,(
% 11.21/7.51 ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[122])).
% 11.21/7.51 tff(124,plain,
% 11.21/7.51 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[123, 116])).
% 11.21/7.51 tff(125,plain,
% 11.21/7.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(126,plain,
% 11.21/7.51 ((m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1))) <=> ((~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(127,plain,
% 11.21/7.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1))))),
% 11.21/7.51 inference(monotonicity,[status(thm)],[126])).
% 11.21/7.51 tff(128,plain,
% 11.21/7.51 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)))),
% 11.21/7.51 inference(transitivity,[status(thm)],[127, 125])).
% 11.21/7.51 tff(129,plain,
% 11.21/7.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1)) | (~m_state_v_gof(c_s, s1)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(130,plain,
% 11.21/7.51 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0) | (~node75(c_s, s0, s1))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[129, 128])).
% 11.21/7.51 tff(131,plain,
% 11.21/7.51 ((~m_state_v_gof(c_s, s1)) | m_state_v_gof(c_s, s0)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[130, 124, 114])).
% 11.21/7.51 tff(132,plain,
% 11.21/7.51 (~m_state_v_gof(c_s, s1)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[131, 42])).
% 11.21/7.51 tff(133,plain,
% 11.21/7.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(134,plain,
% 11.21/7.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(135,plain,
% 11.21/7.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s0, s1)),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[134, 133])).
% 11.21/7.51 tff(136,plain,
% 11.21/7.51 (node105(c_s, s0, s1)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[135, 27, 24, 49])).
% 11.21/7.51 tff(137,plain,
% 11.21/7.51 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(138,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[137])).
% 11.21/7.51 tff(139,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(140,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_47')).
% 11.21/7.51 tff(141,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[140, 139])).
% 11.21/7.51 tff(142,plain,(
% 11.21/7.51 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[141])).
% 11.21/7.51 tff(143,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[142, 138])).
% 11.21/7.51 tff(144,plain,
% 11.21/7.51 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~node101(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~node101(c_s, s0)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(145,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~node101(c_s, s0)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(146,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~node101(c_s, s0))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[145, 144])).
% 11.21/7.51 tff(147,plain,
% 11.21/7.51 (~node101(c_s, s0)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[146, 143, 89])).
% 11.21/7.51 tff(148,plain,
% 11.21/7.51 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(149,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[148])).
% 11.21/7.51 tff(150,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(151,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_54')).
% 11.21/7.51 tff(152,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[151, 150])).
% 11.21/7.51 tff(153,plain,(
% 11.21/7.51 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[152])).
% 11.21/7.51 tff(154,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[153, 149])).
% 11.21/7.51 tff(155,plain,
% 11.21/7.51 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(156,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(157,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~node103(c_s, s0))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[156, 155])).
% 11.21/7.51 tff(158,plain,
% 11.21/7.51 (~node103(c_s, s0)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[157, 154, 100])).
% 11.21/7.51 tff(159,plain,
% 11.21/7.51 (^[I0: $i] : refl(m_state_v_gvp(I0, s0, c_ovb) <=> m_state_v_gvp(I0, s0, c_ovb))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(160,plain,
% 11.21/7.51 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb) <=> ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 11.21/7.51 inference(quant_intro,[status(thm)],[159])).
% 11.21/7.51 tff(161,plain,
% 11.21/7.51 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb) <=> ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(162,axiom,(![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_109')).
% 11.21/7.51 tff(163,plain,
% 11.21/7.51 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[162, 161])).
% 11.21/7.51 tff(164,plain,(
% 11.21/7.51 ![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 11.21/7.51 inference(skolemize,[status(sab)],[163])).
% 11.21/7.51 tff(165,plain,
% 11.21/7.51 (![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[164, 160])).
% 11.21/7.51 tff(166,plain,
% 11.21/7.51 ((~![I0: $i] : m_state_v_gvp(I0, s0, c_ovb)) | m_state_v_gvp(c_s, s0, c_ovb)),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(167,plain,
% 11.21/7.51 (m_state_v_gvp(c_s, s0, c_ovb)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[166, 165])).
% 11.21/7.51 tff(168,plain,
% 11.21/7.51 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(169,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[168])).
% 11.21/7.51 tff(170,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(171,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_71')).
% 11.21/7.51 tff(172,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[171, 170])).
% 11.21/7.51 tff(173,plain,(
% 11.21/7.51 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[172])).
% 11.21/7.51 tff(174,plain,
% 11.21/7.51 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[173, 169])).
% 11.21/7.51 tff(175,plain,
% 11.21/7.51 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(176,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(177,plain,
% 11.21/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_sd))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[176, 175])).
% 11.21/7.51 tff(178,plain,
% 11.21/7.51 (~m_state_v_gvp(c_s, s0, c_sd)),
% 11.21/7.51 inference(unit_resolution,[status(thm)],[177, 174, 167])).
% 11.21/7.51 tff(179,plain,
% 11.21/7.51 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))))),
% 11.21/7.51 inference(bind,[status(th)],[])).
% 11.21/7.51 tff(180,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 11.21/7.51 inference(quant_intro,[status(thm)],[179])).
% 11.21/7.51 tff(181,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(182,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_46')).
% 11.21/7.51 tff(183,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[182, 181])).
% 11.21/7.51 tff(184,plain,(
% 11.21/7.51 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 11.21/7.51 inference(skolemize,[status(sab)],[183])).
% 11.21/7.51 tff(185,plain,
% 11.21/7.51 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))),
% 11.21/7.51 inference(modus_ponens,[status(thm)],[184, 180])).
% 11.21/7.51 tff(186,plain,
% 11.21/7.51 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))),
% 11.21/7.51 inference(rewrite,[status(thm)],[])).
% 11.21/7.51 tff(187,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0)))),
% 11.21/7.51 inference(quant_inst,[status(thm)],[])).
% 11.21/7.51 tff(188,plain,
% 11.21/7.51 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node100(c_s, s0))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[187, 186])).
% 11.26/7.51 tff(189,plain,
% 11.26/7.51 (~node100(c_s, s0)),
% 11.26/7.51 inference(unit_resolution,[status(thm)],[188, 185, 178])).
% 11.26/7.51 tff(190,plain,
% 11.26/7.51 (^[I0: $i] : refl(m_state_v_CMag(I0, s0, c_on) <=> m_state_v_CMag(I0, s0, c_on))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(191,plain,
% 11.26/7.51 (![I0: $i] : m_state_v_CMag(I0, s0, c_on) <=> ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 11.26/7.51 inference(quant_intro,[status(thm)],[190])).
% 11.26/7.51 tff(192,plain,
% 11.26/7.51 (![I0: $i] : m_state_v_CMag(I0, s0, c_on) <=> ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(193,axiom,(![I0: $i] : m_state_v_CMag(I0, s0, c_on)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_107')).
% 11.26/7.51 tff(194,plain,
% 11.26/7.51 (![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[193, 192])).
% 11.26/7.51 tff(195,plain,(
% 11.26/7.51 ![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 11.26/7.51 inference(skolemize,[status(sab)],[194])).
% 11.26/7.51 tff(196,plain,
% 11.26/7.51 (![I0: $i] : m_state_v_CMag(I0, s0, c_on)),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[195, 191])).
% 11.26/7.51 tff(197,plain,
% 11.26/7.51 ((~![I0: $i] : m_state_v_CMag(I0, s0, c_on)) | m_state_v_CMag(c_s, s0, c_on)),
% 11.26/7.51 inference(quant_inst,[status(thm)],[])).
% 11.26/7.51 tff(198,plain,
% 11.26/7.51 (m_state_v_CMag(c_s, s0, c_on)),
% 11.26/7.51 inference(unit_resolution,[status(thm)],[197, 196])).
% 11.26/7.51 tff(199,plain,
% 11.26/7.51 (^[I0: $i, X: $i] : refl(((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(200,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(quant_intro,[status(thm)],[199])).
% 11.26/7.51 tff(201,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(202,plain,
% 11.26/7.51 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off))) <=> ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on))))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(203,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(quant_intro,[status(thm)],[202])).
% 11.26/7.51 tff(204,axiom,(![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_on)) | (~m_state_v_CMag(I0, X, c_off)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_18')).
% 11.26/7.51 tff(205,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[204, 203])).
% 11.26/7.51 tff(206,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[205, 201])).
% 11.26/7.51 tff(207,plain,(
% 11.26/7.51 ![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(skolemize,[status(sab)],[206])).
% 11.26/7.51 tff(208,plain,
% 11.26/7.51 (![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[207, 200])).
% 11.26/7.51 tff(209,plain,
% 11.26/7.51 (((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(210,plain,
% 11.26/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 11.26/7.51 inference(quant_inst,[status(thm)],[])).
% 11.26/7.51 tff(211,plain,
% 11.26/7.51 ((~![I0: $i, X: $i] : ((~m_state_v_CMag(I0, X, c_off)) | (~m_state_v_CMag(I0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_off)) | (~m_state_v_CMag(c_s, s0, c_on))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[210, 209])).
% 11.26/7.51 tff(212,plain,
% 11.26/7.51 (~m_state_v_CMag(c_s, s0, c_off)),
% 11.26/7.51 inference(unit_resolution,[status(thm)],[211, 208, 198])).
% 11.26/7.51 tff(213,plain,
% 11.26/7.51 (^[X: $i, J0: $i] : refl((m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(214,plain,
% 11.26/7.51 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 11.26/7.51 inference(quant_intro,[status(thm)],[213])).
% 11.26/7.51 tff(215,plain,
% 11.26/7.51 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(216,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_53')).
% 11.26/7.51 tff(217,plain,
% 11.26/7.51 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[216, 215])).
% 11.26/7.51 tff(218,plain,(
% 11.26/7.51 ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 11.26/7.51 inference(skolemize,[status(sab)],[217])).
% 11.26/7.51 tff(219,plain,
% 11.26/7.51 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[218, 214])).
% 11.26/7.51 tff(220,plain,
% 11.26/7.51 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node102(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node102(c_s, s0)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(221,plain,
% 11.26/7.51 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node102(c_s, s0)))),
% 11.26/7.51 inference(quant_inst,[status(thm)],[])).
% 11.26/7.51 tff(222,plain,
% 11.26/7.51 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node102(c_s, s0))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[221, 220])).
% 11.26/7.51 tff(223,plain,
% 11.26/7.51 (~node102(c_s, s0)),
% 11.26/7.51 inference(unit_resolution,[status(thm)],[222, 219, 212])).
% 11.26/7.51 tff(224,plain,
% 11.26/7.51 (^[Y: $i, X: $i, J0: $i] : refl((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(225,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(quant_intro,[status(thm)],[224])).
% 11.26/7.51 tff(226,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(227,plain,
% 11.26/7.51 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node100(J0, X) | node101(J0, X)) | node102(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X)) | node103(J0, X)))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X)) | node103(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X))), ((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)) | node104(J0, X, Y)))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X)) | node104(J0, X, Y)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y))), (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> ((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)) | (~node105(J0, X, Y))))), rewrite(((node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))), ((((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))))),
% 11.26/7.51 inference(bind,[status(th)],[])).
% 11.26/7.51 tff(228,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(quant_intro,[status(thm)],[227])).
% 11.26/7.51 tff(229,axiom,(![Y: $i, X: $i, J0: $i] : (((((node100(J0, X) | node101(J0, X)) | node102(J0, X)) | node103(J0, X)) | node104(J0, X, Y)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_62')).
% 11.26/7.51 tff(230,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[229, 228])).
% 11.26/7.51 tff(231,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[230, 226])).
% 11.26/7.51 tff(232,plain,(
% 11.26/7.51 ![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(skolemize,[status(sab)],[231])).
% 11.26/7.51 tff(233,plain,
% 11.26/7.51 (![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))),
% 11.26/7.51 inference(modus_ponens,[status(thm)],[232, 225])).
% 11.26/7.51 tff(234,plain,
% 11.26/7.51 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(235,plain,
% 11.26/7.51 ((node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))) <=> (node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 11.26/7.51 inference(rewrite,[status(thm)],[])).
% 11.26/7.51 tff(236,plain,
% 11.26/7.51 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))))),
% 11.26/7.52 inference(monotonicity,[status(thm)],[235])).
% 11.26/7.52 tff(237,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 11.26/7.52 inference(transitivity,[status(thm)],[236, 234])).
% 11.26/7.52 tff(238,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s0) | node100(c_s, s0) | node102(c_s, s0) | node103(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(239,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s0) | node100(c_s, s0) | node103(c_s, s0) | node101(c_s, s0) | node104(c_s, s0, s1) | (~node105(c_s, s0, s1))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[238, 237])).
% 11.26/7.52 tff(240,plain,
% 11.26/7.52 (node104(c_s, s0, s1)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[239, 233, 223, 189, 158, 147, 136])).
% 11.26/7.52 tff(241,plain,
% 11.26/7.52 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))))),
% 11.26/7.52 inference(bind,[status(th)],[])).
% 11.26/7.52 tff(242,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(quant_intro,[status(thm)],[241])).
% 11.26/7.52 tff(243,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(244,plain,
% 11.26/7.52 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V))))),
% 11.26/7.52 inference(bind,[status(th)],[])).
% 11.26/7.52 tff(245,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(quant_intro,[status(thm)],[244])).
% 11.26/7.52 tff(246,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, Y, V)) | m_state_v_CHM(J0, X, V)) | (~node104(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_57')).
% 11.26/7.52 tff(247,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[246, 245])).
% 11.26/7.52 tff(248,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[247, 243])).
% 11.26/7.52 tff(249,plain,(
% 11.26/7.52 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(skolemize,[status(sab)],[248])).
% 11.26/7.52 tff(250,plain,
% 11.26/7.52 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[249, 242])).
% 11.26/7.52 tff(251,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(252,plain,
% 11.26/7.52 (((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt))) <=> (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(253,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1))))),
% 11.26/7.52 inference(monotonicity,[status(thm)],[252])).
% 11.26/7.52 tff(254,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(transitivity,[status(thm)],[253, 251])).
% 11.26/7.52 tff(255,plain,
% 11.26/7.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(256,plain,
% 11.26/7.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_todepbelt) | (~m_state_v_CHM(c_s, s1, c_todepbelt)) | (~node104(c_s, s0, s1))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[255, 254])).
% 11.26/7.52 tff(257,plain,
% 11.26/7.52 (~m_state_v_CHM(c_s, s1, c_todepbelt)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[256, 250, 100, 240])).
% 11.26/7.52 tff(258,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(259,plain,
% 11.26/7.52 (((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(260,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1))))),
% 11.26/7.52 inference(monotonicity,[status(thm)],[259])).
% 11.26/7.52 tff(261,plain,
% 11.26/7.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1)))),
% 11.26/7.52 inference(transitivity,[status(thm)],[260, 258])).
% 11.26/7.52 tff(262,plain,
% 11.26/7.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s0, s1)) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(263,plain,
% 11.26/7.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s0, c_tofeedbelt) | (~m_state_v_CHM(c_s, s1, c_tofeedbelt)) | (~node104(c_s, s0, s1))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[262, 261])).
% 11.26/7.52 tff(264,plain,
% 11.26/7.52 (~m_state_v_CHM(c_s, s1, c_tofeedbelt)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[263, 250, 89, 240])).
% 11.26/7.52 tff(265,plain,
% 11.26/7.52 (succ(s1, s2) <=> succ(s1, s2)),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(266,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 11.26/7.52 tff(267,plain,
% 11.26/7.52 (succ(s1, s2)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[266, 265])).
% 11.26/7.52 tff(268,plain,
% 11.26/7.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(269,plain,
% 11.26/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(270,plain,
% 11.26/7.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[269, 268])).
% 11.26/7.52 tff(271,plain,
% 11.26/7.52 (trans(s1, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[270, 267, 7])).
% 11.26/7.52 tff(272,plain,
% 11.26/7.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(273,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(274,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s1, s2)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[273, 272])).
% 11.26/7.52 tff(275,plain,
% 11.26/7.52 (node76(c_s, s1, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[274, 62, 59, 271])).
% 11.26/7.52 tff(276,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(277,plain,
% 11.26/7.52 ((m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))) <=> (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(278,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))))),
% 11.26/7.52 inference(monotonicity,[status(thm)],[277])).
% 11.26/7.52 tff(279,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 11.26/7.52 inference(transitivity,[status(thm)],[278, 276])).
% 11.26/7.52 tff(280,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(281,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2) | (~node76(c_s, s1, s2))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[280, 279])).
% 11.26/7.52 tff(282,plain,
% 11.26/7.52 (m_state_v_CHM(c_s, s1, c_tofeedbelt) | m_state_v_CHM(c_s, s1, c_todepbelt) | node75(c_s, s1, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[281, 110, 275])).
% 11.26/7.52 tff(283,plain,
% 11.26/7.52 (node75(c_s, s1, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[282, 264, 257])).
% 11.26/7.52 tff(284,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(285,plain,
% 11.26/7.52 ((m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2))) <=> ((~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(286,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | ((~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2))))),
% 11.26/7.52 inference(monotonicity,[status(thm)],[285])).
% 11.26/7.52 tff(287,plain,
% 11.26/7.52 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)))),
% 11.26/7.52 inference(transitivity,[status(thm)],[286, 284])).
% 11.26/7.52 tff(288,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2)) | (~m_state_v_gof(c_s, s2)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(289,plain,
% 11.26/7.52 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1) | (~node75(c_s, s1, s2))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[288, 287])).
% 11.26/7.52 tff(290,plain,
% 11.26/7.52 ((~m_state_v_gof(c_s, s2)) | m_state_v_gof(c_s, s1)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[289, 124, 283])).
% 11.26/7.52 tff(291,plain,
% 11.26/7.52 (~m_state_v_gof(c_s, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[290, 132])).
% 11.26/7.52 tff(292,plain,
% 11.26/7.52 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node101(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node101(c_s, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(293,plain,
% 11.26/7.52 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node101(c_s, s1)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(294,plain,
% 11.26/7.52 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~node101(c_s, s1))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[293, 292])).
% 11.26/7.52 tff(295,plain,
% 11.26/7.52 (~node101(c_s, s1)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[294, 143, 264])).
% 11.26/7.52 tff(296,plain,
% 11.26/7.52 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(297,plain,
% 11.26/7.52 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1)))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(298,plain,
% 11.26/7.52 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node103(c_s, s1))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[297, 296])).
% 11.26/7.52 tff(299,plain,
% 11.26/7.52 (~node103(c_s, s1)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[298, 154, 257])).
% 11.26/7.52 tff(300,plain,
% 11.26/7.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(301,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(302,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s1, s2)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[301, 300])).
% 11.26/7.52 tff(303,plain,
% 11.26/7.52 (node105(c_s, s1, s2)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[302, 27, 24, 271])).
% 11.26/7.52 tff(304,plain,
% 11.26/7.52 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)))),
% 11.26/7.52 inference(bind,[status(th)],[])).
% 11.26/7.52 tff(305,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(quant_intro,[status(thm)],[304])).
% 11.26/7.52 tff(306,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(307,plain,
% 11.26/7.52 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))))),
% 11.26/7.52 inference(bind,[status(th)],[])).
% 11.26/7.52 tff(308,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(quant_intro,[status(thm)],[307])).
% 11.26/7.52 tff(309,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node82(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_191')).
% 11.26/7.52 tff(310,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[309, 308])).
% 11.26/7.52 tff(311,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[310, 306])).
% 11.26/7.52 tff(312,plain,(
% 11.26/7.52 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(skolemize,[status(sab)],[311])).
% 11.26/7.52 tff(313,plain,
% 11.26/7.52 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[312, 305])).
% 11.26/7.52 tff(314,plain,
% 11.26/7.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(315,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1))),
% 11.26/7.52 inference(quant_inst,[status(thm)],[])).
% 11.26/7.52 tff(316,plain,
% 11.26/7.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s0, s1)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[315, 314])).
% 11.26/7.52 tff(317,plain,
% 11.26/7.52 (node82(c_s, s0, s1)),
% 11.26/7.52 inference(unit_resolution,[status(thm)],[316, 62, 313, 49])).
% 11.26/7.52 tff(318,plain,
% 11.26/7.52 (^[I0: $i] : refl(m_state_v_CVM(I0, s0, c_idle) <=> m_state_v_CVM(I0, s0, c_idle))),
% 11.26/7.52 inference(bind,[status(th)],[])).
% 11.26/7.52 tff(319,plain,
% 11.26/7.52 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 11.26/7.52 inference(quant_intro,[status(thm)],[318])).
% 11.26/7.52 tff(320,plain,
% 11.26/7.52 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 11.26/7.52 inference(rewrite,[status(thm)],[])).
% 11.26/7.52 tff(321,axiom,(![I0: $i] : m_state_v_CVM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_111')).
% 11.26/7.52 tff(322,plain,
% 11.26/7.52 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[321, 320])).
% 11.26/7.52 tff(323,plain,(
% 11.26/7.52 ![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 11.26/7.52 inference(skolemize,[status(sab)],[322])).
% 11.26/7.52 tff(324,plain,
% 11.26/7.52 (![I0: $i] : m_state_v_CVM(I0, s0, c_idle)),
% 11.26/7.52 inference(modus_ponens,[status(thm)],[323, 319])).
% 11.26/7.53 tff(325,plain,
% 11.26/7.53 ((~![I0: $i] : m_state_v_CVM(I0, s0, c_idle)) | m_state_v_CVM(c_s, s0, c_idle)),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(326,plain,
% 11.26/7.53 (m_state_v_CVM(c_s, s0, c_idle)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[325, 324])).
% 11.26/7.53 tff(327,plain,
% 11.26/7.53 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(328,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[327])).
% 11.26/7.53 tff(329,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(330,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_21')).
% 11.26/7.53 tff(331,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[330, 329])).
% 11.26/7.53 tff(332,plain,(
% 11.26/7.53 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[331])).
% 11.26/7.53 tff(333,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[332, 328])).
% 11.26/7.53 tff(334,plain,
% 11.26/7.53 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(335,plain,
% 11.26/7.53 (((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle))) <=> ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(336,plain,
% 11.26/7.53 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up))))),
% 11.26/7.53 inference(monotonicity,[status(thm)],[335])).
% 11.26/7.53 tff(337,plain,
% 11.26/7.53 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up)))),
% 11.26/7.53 inference(transitivity,[status(thm)],[336, 334])).
% 11.26/7.53 tff(338,plain,
% 11.26/7.53 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s0, c_up)) | (~m_state_v_CVM(c_s, s0, c_idle)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(339,plain,
% 11.26/7.53 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_CVM(c_s, s0, c_up))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[338, 337])).
% 11.26/7.53 tff(340,plain,
% 11.26/7.53 (~m_state_v_CVM(c_s, s0, c_up)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[339, 333, 326])).
% 11.26/7.53 tff(341,plain,
% 11.26/7.53 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(342,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[341])).
% 11.26/7.53 tff(343,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(344,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_174')).
% 11.26/7.53 tff(345,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[344, 343])).
% 11.26/7.53 tff(346,plain,(
% 11.26/7.53 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[345])).
% 11.26/7.53 tff(347,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[346, 342])).
% 11.26/7.53 tff(348,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(349,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | (m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(350,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node77(J0, X)))) | m_state_v_CVM(c_s, s0, c_up) | (~node77(c_s, s0))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[349, 348])).
% 11.26/7.53 tff(351,plain,
% 11.26/7.53 (~node77(c_s, s0)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[350, 347, 340])).
% 11.26/7.53 tff(352,plain,
% 11.26/7.53 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(353,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[352])).
% 11.26/7.53 tff(354,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(355,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_70')).
% 11.26/7.53 tff(356,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[355, 354])).
% 11.26/7.53 tff(357,plain,(
% 11.26/7.53 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[356])).
% 11.26/7.53 tff(358,plain,
% 11.26/7.53 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[357, 353])).
% 11.26/7.53 tff(359,plain,
% 11.26/7.53 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(360,plain,
% 11.26/7.53 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(361,plain,
% 11.26/7.53 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_ovf)))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_gvp(c_s, s0, c_ovf))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[360, 359])).
% 11.26/7.53 tff(362,plain,
% 11.26/7.53 (~m_state_v_gvp(c_s, s0, c_ovf)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[361, 358, 167])).
% 11.26/7.53 tff(363,plain,
% 11.26/7.53 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(364,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[363])).
% 11.26/7.53 tff(365,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(366,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_178')).
% 11.26/7.53 tff(367,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[366, 365])).
% 11.26/7.53 tff(368,plain,(
% 11.26/7.53 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[367])).
% 11.26/7.53 tff(369,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[368, 364])).
% 11.26/7.53 tff(370,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(371,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(372,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node79(c_s, s0))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[371, 370])).
% 11.26/7.53 tff(373,plain,
% 11.26/7.53 (~node79(c_s, s0)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[372, 369, 362])).
% 11.26/7.53 tff(374,plain,
% 11.26/7.53 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(375,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[374])).
% 11.26/7.53 tff(376,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(377,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_181')).
% 11.26/7.53 tff(378,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[377, 376])).
% 11.26/7.53 tff(379,plain,(
% 11.26/7.53 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[378])).
% 11.26/7.53 tff(380,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[379, 375])).
% 11.26/7.53 tff(381,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(382,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(383,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node80(c_s, s0))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[382, 381])).
% 11.26/7.53 tff(384,plain,
% 11.26/7.53 (~node80(c_s, s0)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[383, 380, 362])).
% 11.26/7.53 tff(385,plain,
% 11.26/7.53 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(386,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[385])).
% 11.26/7.53 tff(387,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(388,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_175')).
% 11.26/7.53 tff(389,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[388, 387])).
% 11.26/7.53 tff(390,plain,(
% 11.26/7.53 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[389])).
% 11.26/7.53 tff(391,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[390, 386])).
% 11.26/7.53 tff(392,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(393,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(394,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node78(J0, X)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node78(c_s, s0))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[393, 392])).
% 11.26/7.53 tff(395,plain,
% 11.26/7.53 (~node78(c_s, s0)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[394, 391, 178])).
% 11.26/7.53 tff(396,plain,
% 11.26/7.53 (^[Y: $i, X: $i, J0: $i] : refl((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(397,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[396])).
% 11.26/7.53 tff(398,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(399,plain,
% 11.26/7.53 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node77(J0, X) | node78(J0, X)) | node79(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X))), ((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X)) | node80(J0, X)))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X)) | node80(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X))), ((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)))), (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)) | node81(J0, X, Y)))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X)) | node81(J0, X, Y)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y))), (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)))), ((((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> ((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)) | (~node82(J0, X, Y))))), rewrite(((node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))), ((((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(400,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[399])).
% 11.26/7.53 tff(401,axiom,(![Y: $i, X: $i, J0: $i] : (((((node77(J0, X) | node78(J0, X)) | node79(J0, X)) | node80(J0, X)) | node81(J0, X, Y)) | (~node82(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_190')).
% 11.26/7.53 tff(402,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[401, 400])).
% 11.26/7.53 tff(403,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[402, 398])).
% 11.26/7.53 tff(404,plain,(
% 11.26/7.53 ![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[403])).
% 11.26/7.53 tff(405,plain,
% 11.26/7.53 (![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[404, 397])).
% 11.26/7.53 tff(406,plain,
% 11.26/7.53 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(407,plain,
% 11.26/7.53 ((node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1))) <=> (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(408,plain,
% 11.26/7.53 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1))))),
% 11.26/7.53 inference(monotonicity,[status(thm)],[407])).
% 11.26/7.53 tff(409,plain,
% 11.26/7.53 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))),
% 11.26/7.53 inference(transitivity,[status(thm)],[408, 406])).
% 11.26/7.53 tff(410,plain,
% 11.26/7.53 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s0) | node78(c_s, s0) | node79(c_s, s0) | node80(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(411,plain,
% 11.26/7.53 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s0) | node80(c_s, s0) | node79(c_s, s0) | node77(c_s, s0) | node81(c_s, s0, s1) | (~node82(c_s, s0, s1))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[410, 409])).
% 11.26/7.53 tff(412,plain,
% 11.26/7.53 (node81(c_s, s0, s1)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[411, 405, 395, 384, 373, 351, 317])).
% 11.26/7.53 tff(413,plain,
% 11.26/7.53 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(414,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[413])).
% 11.26/7.53 tff(415,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(416,plain,
% 11.26/7.53 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(417,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[416])).
% 11.26/7.53 tff(418,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_gvp(J0, Y, V)) | m_state_v_gvp(J0, X, V)) | (~node81(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_185')).
% 11.26/7.53 tff(419,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[418, 417])).
% 11.26/7.53 tff(420,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[419, 415])).
% 11.26/7.53 tff(421,plain,(
% 11.26/7.53 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[420])).
% 11.26/7.53 tff(422,plain,
% 11.26/7.53 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[421, 414])).
% 11.26/7.53 tff(423,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(424,plain,
% 11.26/7.53 (((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf))) <=> (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(425,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf))))),
% 11.26/7.53 inference(monotonicity,[status(thm)],[424])).
% 11.26/7.53 tff(426,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 11.26/7.53 inference(transitivity,[status(thm)],[425, 423])).
% 11.26/7.53 tff(427,plain,
% 11.26/7.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_ovf) | (~m_state_v_gvp(c_s, s1, c_ovf)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(428,plain,
% 11.26/7.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_ovf))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[427, 426])).
% 11.26/7.53 tff(429,plain,
% 11.26/7.53 (~m_state_v_gvp(c_s, s1, c_ovf)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[428, 422, 362, 412])).
% 11.26/7.53 tff(430,plain,
% 11.26/7.53 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))))),
% 11.26/7.53 inference(bind,[status(th)],[])).
% 11.26/7.53 tff(431,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 11.26/7.53 inference(quant_intro,[status(thm)],[430])).
% 11.26/7.53 tff(432,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(433,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_50')).
% 11.26/7.53 tff(434,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[433, 432])).
% 11.26/7.53 tff(435,plain,(
% 11.26/7.53 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 11.26/7.53 inference(skolemize,[status(sab)],[434])).
% 11.26/7.53 tff(436,plain,
% 11.26/7.53 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[435, 431])).
% 11.26/7.53 tff(437,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node102(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node102(c_s, s1)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(438,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node102(c_s, s1)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(439,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node102(c_s, s1))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[438, 437])).
% 11.26/7.53 tff(440,plain,
% 11.26/7.53 (~node102(c_s, s1)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[439, 436, 429])).
% 11.26/7.53 tff(441,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(442,plain,
% 11.26/7.53 (((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd))) <=> (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(443,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd))))),
% 11.26/7.53 inference(monotonicity,[status(thm)],[442])).
% 11.26/7.53 tff(444,plain,
% 11.26/7.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 11.26/7.53 inference(transitivity,[status(thm)],[443, 441])).
% 11.26/7.53 tff(445,plain,
% 11.26/7.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s0, s1)) | m_state_v_gvp(c_s, s0, c_sd) | (~m_state_v_gvp(c_s, s1, c_sd)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.53 tff(446,plain,
% 11.26/7.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s0, c_sd) | (~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s1, c_sd))),
% 11.26/7.53 inference(modus_ponens,[status(thm)],[445, 444])).
% 11.26/7.53 tff(447,plain,
% 11.26/7.53 (~m_state_v_gvp(c_s, s1, c_sd)),
% 11.26/7.53 inference(unit_resolution,[status(thm)],[446, 422, 178, 412])).
% 11.26/7.53 tff(448,plain,
% 11.26/7.53 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))),
% 11.26/7.53 inference(rewrite,[status(thm)],[])).
% 11.26/7.53 tff(449,plain,
% 11.26/7.53 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1)))),
% 11.26/7.53 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(450,plain,
% 11.26/7.54 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node100(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node100(c_s, s1))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[449, 448])).
% 11.26/7.54 tff(451,plain,
% 11.26/7.54 (~node100(c_s, s1)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[450, 185, 447])).
% 11.26/7.54 tff(452,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(453,plain,
% 11.26/7.54 ((node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2))) <=> (node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(454,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1)))),
% 11.26/7.54 inference(monotonicity,[status(thm)],[453])).
% 11.26/7.54 tff(455,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1))),
% 11.26/7.54 inference(transitivity,[status(thm)],[454, 452])).
% 11.26/7.54 tff(456,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s1) | node100(c_s, s1) | node102(c_s, s1) | node103(c_s, s1) | node104(c_s, s1, s2) | (~node105(c_s, s1, s2)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(457,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node102(c_s, s1) | node100(c_s, s1) | node103(c_s, s1) | (~node105(c_s, s1, s2)) | node104(c_s, s1, s2) | node101(c_s, s1)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[456, 455])).
% 11.26/7.54 tff(458,plain,
% 11.26/7.54 (node103(c_s, s1) | node104(c_s, s1, s2) | node101(c_s, s1)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[457, 233, 451, 440, 303])).
% 11.26/7.54 tff(459,plain,
% 11.26/7.54 (node104(c_s, s1, s2)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[458, 299, 295])).
% 11.26/7.54 tff(460,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(461,plain,
% 11.26/7.54 (((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(462,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2))))),
% 11.26/7.54 inference(monotonicity,[status(thm)],[461])).
% 11.26/7.54 tff(463,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(transitivity,[status(thm)],[462, 460])).
% 11.26/7.54 tff(464,plain,
% 11.26/7.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(465,plain,
% 11.26/7.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_tofeedbelt) | (~m_state_v_CHM(c_s, s2, c_tofeedbelt)) | (~node104(c_s, s1, s2))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[464, 463])).
% 11.26/7.54 tff(466,plain,
% 11.26/7.54 (~m_state_v_CHM(c_s, s2, c_tofeedbelt)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[465, 250, 264, 459])).
% 11.26/7.54 tff(467,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(468,plain,
% 11.26/7.54 (((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt))) <=> (m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(469,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2))))),
% 11.26/7.54 inference(monotonicity,[status(thm)],[468])).
% 11.26/7.54 tff(470,plain,
% 11.26/7.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2)))),
% 11.26/7.54 inference(transitivity,[status(thm)],[469, 467])).
% 11.26/7.54 tff(471,plain,
% 11.26/7.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s1, s2)) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(472,plain,
% 11.26/7.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~m_state_v_CHM(c_s, s2, c_todepbelt)) | (~node104(c_s, s1, s2))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[471, 470])).
% 11.26/7.54 tff(473,plain,
% 11.26/7.54 (~m_state_v_CHM(c_s, s2, c_todepbelt)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[472, 250, 257, 459])).
% 11.26/7.54 tff(474,plain,
% 11.26/7.54 (succ(s2, s3) <=> succ(s2, s3)),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(475,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 11.26/7.54 tff(476,plain,
% 11.26/7.54 (succ(s2, s3)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[475, 474])).
% 11.26/7.54 tff(477,plain,
% 11.26/7.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(478,plain,
% 11.26/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(479,plain,
% 11.26/7.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[478, 477])).
% 11.26/7.54 tff(480,plain,
% 11.26/7.54 (trans(s2, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[479, 476, 7])).
% 11.26/7.54 tff(481,plain,
% 11.26/7.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(482,plain,
% 11.26/7.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(483,plain,
% 11.26/7.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s2, s3)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[482, 481])).
% 11.26/7.54 tff(484,plain,
% 11.26/7.54 (node76(c_s, s2, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[483, 62, 59, 480])).
% 11.26/7.54 tff(485,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(486,plain,
% 11.26/7.54 ((m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3))) <=> (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(487,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3)))),
% 11.26/7.54 inference(monotonicity,[status(thm)],[486])).
% 11.26/7.54 tff(488,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3))),
% 11.26/7.54 inference(transitivity,[status(thm)],[487, 485])).
% 11.26/7.54 tff(489,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3) | (~node76(c_s, s2, s3)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(490,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt) | node75(J0, X, Y) | (~node76(J0, X, Y)))) | m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | (~node76(c_s, s2, s3)) | node75(c_s, s2, s3)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[489, 488])).
% 11.26/7.54 tff(491,plain,
% 11.26/7.54 (m_state_v_CHM(c_s, s2, c_todepbelt) | m_state_v_CHM(c_s, s2, c_tofeedbelt) | node75(c_s, s2, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[490, 110, 484])).
% 11.26/7.54 tff(492,plain,
% 11.26/7.54 (node75(c_s, s2, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[491, 473, 466])).
% 11.26/7.54 tff(493,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(494,plain,
% 11.26/7.54 ((m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3))) <=> (m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(495,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3))))),
% 11.26/7.54 inference(monotonicity,[status(thm)],[494])).
% 11.26/7.54 tff(496,plain,
% 11.26/7.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3)))),
% 11.26/7.54 inference(transitivity,[status(thm)],[495, 493])).
% 11.26/7.54 tff(497,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | (m_state_v_gof(c_s, s2) | (~node75(c_s, s2, s3)) | (~m_state_v_gof(c_s, s3)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(498,plain,
% 11.26/7.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node75(J0, X, Y)) | (~m_state_v_gof(J0, Y)))) | m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3)) | (~node75(c_s, s2, s3))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[497, 496])).
% 11.26/7.54 tff(499,plain,
% 11.26/7.54 (m_state_v_gof(c_s, s2) | (~m_state_v_gof(c_s, s3))),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[498, 124, 492])).
% 11.26/7.54 tff(500,plain,
% 11.26/7.54 (~m_state_v_gof(c_s, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[499, 291])).
% 11.26/7.54 tff(501,plain,
% 11.26/7.54 (^[X: $i, J0: $i] : refl((m_state_v_gof(J0, X) | (~node101(J0, X))) <=> (m_state_v_gof(J0, X) | (~node101(J0, X))))),
% 11.26/7.54 inference(bind,[status(th)],[])).
% 11.26/7.54 tff(502,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 11.26/7.54 inference(quant_intro,[status(thm)],[501])).
% 11.26/7.54 tff(503,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(504,axiom,(![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_48')).
% 11.26/7.54 tff(505,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[504, 503])).
% 11.26/7.54 tff(506,plain,(
% 11.26/7.54 ![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 11.26/7.54 inference(skolemize,[status(sab)],[505])).
% 11.26/7.54 tff(507,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[506, 502])).
% 11.26/7.54 tff(508,plain,
% 11.26/7.54 (((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(509,plain,
% 11.26/7.54 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | (m_state_v_gof(c_s, s3) | (~node101(c_s, s3)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(510,plain,
% 11.26/7.54 ((~![X: $i, J0: $i] : (m_state_v_gof(J0, X) | (~node101(J0, X)))) | m_state_v_gof(c_s, s3) | (~node101(c_s, s3))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[509, 508])).
% 11.26/7.54 tff(511,plain,
% 11.26/7.54 (~node101(c_s, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[510, 507, 500])).
% 11.26/7.54 tff(512,plain,
% 11.26/7.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(513,plain,
% 11.26/7.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(514,plain,
% 11.26/7.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s2, s3)),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[513, 512])).
% 11.26/7.54 tff(515,plain,
% 11.26/7.54 (node82(c_s, s2, s3)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[514, 62, 313, 480])).
% 11.26/7.54 tff(516,plain,
% 11.26/7.54 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))))),
% 11.26/7.54 inference(bind,[status(th)],[])).
% 11.26/7.54 tff(517,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 11.26/7.54 inference(quant_intro,[status(thm)],[516])).
% 11.26/7.54 tff(518,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(519,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_30')).
% 11.26/7.54 tff(520,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[519, 518])).
% 11.26/7.54 tff(521,plain,(
% 11.26/7.54 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 11.26/7.54 inference(skolemize,[status(sab)],[520])).
% 11.26/7.54 tff(522,plain,
% 11.26/7.54 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[521, 517])).
% 11.26/7.54 tff(523,plain,
% 11.26/7.54 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(524,plain,
% 11.26/7.54 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1)))),
% 11.26/7.54 inference(quant_inst,[status(thm)],[])).
% 11.26/7.54 tff(525,plain,
% 11.26/7.54 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s1, c_todepbelt) | (~node96(c_s, s1))),
% 11.26/7.54 inference(modus_ponens,[status(thm)],[524, 523])).
% 11.26/7.54 tff(526,plain,
% 11.26/7.54 (~node96(c_s, s1)),
% 11.26/7.54 inference(unit_resolution,[status(thm)],[525, 522, 257])).
% 11.26/7.54 tff(527,plain,
% 11.26/7.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)))),
% 11.26/7.54 inference(bind,[status(th)],[])).
% 11.26/7.54 tff(528,plain,
% 11.26/7.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.26/7.54 inference(quant_intro,[status(thm)],[527])).
% 11.26/7.54 tff(529,plain,
% 11.26/7.54 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.26/7.54 inference(rewrite,[status(thm)],[])).
% 11.26/7.54 tff(530,plain,
% 11.26/7.54 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(531,plain,
% 11.29/7.55 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[530])).
% 11.29/7.55 tff(532,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node99(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_44')).
% 11.29/7.55 tff(533,plain,
% 11.29/7.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[532, 531])).
% 11.29/7.55 tff(534,plain,
% 11.29/7.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[533, 529])).
% 11.29/7.55 tff(535,plain,(
% 11.29/7.55 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.29/7.55 inference(skolemize,[status(sab)],[534])).
% 11.29/7.55 tff(536,plain,
% 11.29/7.55 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[535, 528])).
% 11.29/7.55 tff(537,plain,
% 11.29/7.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(538,plain,
% 11.29/7.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(539,plain,
% 11.29/7.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s1, s2)),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[538, 537])).
% 11.29/7.55 tff(540,plain,
% 11.29/7.55 (node99(c_s, s1, s2)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[539, 27, 536, 271])).
% 11.29/7.55 tff(541,plain,
% 11.29/7.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(542,plain,
% 11.29/7.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(543,plain,
% 11.29/7.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s0, s1)),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[542, 541])).
% 11.29/7.55 tff(544,plain,
% 11.29/7.55 (node99(c_s, s0, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[543, 27, 536, 49])).
% 11.29/7.55 tff(545,plain,
% 11.29/7.55 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(546,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[545])).
% 11.29/7.55 tff(547,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(548,plain,
% 11.29/7.55 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on)))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))))), ((((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) | (~node99(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on))) | (~node99(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))), ((((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(549,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[548])).
% 11.29/7.55 tff(550,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CMag(J0, X, c_on))) | m_state_v_CVM(J0, Y, c_up)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_37')).
% 11.29/7.55 tff(551,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[550, 549])).
% 11.29/7.55 tff(552,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[551, 547])).
% 11.29/7.55 tff(553,plain,(
% 11.29/7.55 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[552])).
% 11.29/7.55 tff(554,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[553, 546])).
% 11.29/7.55 tff(555,plain,
% 11.29/7.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(556,plain,
% 11.29/7.55 (((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on))) <=> ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(557,plain,
% 11.29/7.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1))))),
% 11.29/7.55 inference(monotonicity,[status(thm)],[556])).
% 11.29/7.55 tff(558,plain,
% 11.29/7.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1)))),
% 11.29/7.55 inference(transitivity,[status(thm)],[557, 555])).
% 11.29/7.55 tff(559,plain,
% 11.29/7.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node99(c_s, s0, s1)) | m_state_v_CVM(c_s, s1, c_up) | (~m_state_v_CMag(c_s, s0, c_on)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(560,plain,
% 11.29/7.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node99(J0, X, Y)) | m_state_v_CVM(J0, Y, c_up) | (~m_state_v_CMag(J0, X, c_on)))) | (~m_state_v_CMag(c_s, s0, c_on)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~m_state_v_CVM(c_s, s0, c_idle)) | m_state_v_CVM(c_s, s1, c_up) | (~node99(c_s, s0, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[559, 558])).
% 11.29/7.55 tff(561,plain,
% 11.29/7.55 (m_state_v_CVM(c_s, s1, c_up)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[560, 554, 198, 167, 326, 544])).
% 11.29/7.55 tff(562,plain,
% 11.29/7.55 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(563,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[562])).
% 11.29/7.55 tff(564,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(565,plain,
% 11.29/7.55 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(566,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[565])).
% 11.29/7.55 tff(567,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_down)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_20')).
% 11.29/7.55 tff(568,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[567, 566])).
% 11.29/7.55 tff(569,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[568, 564])).
% 11.29/7.55 tff(570,plain,(
% 11.29/7.55 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[569])).
% 11.29/7.55 tff(571,plain,
% 11.29/7.55 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[570, 563])).
% 11.29/7.55 tff(572,plain,
% 11.29/7.55 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(573,plain,
% 11.29/7.55 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | ((~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(574,plain,
% 11.29/7.55 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_up)))) | (~m_state_v_CVM(c_s, s1, c_down)) | (~m_state_v_CVM(c_s, s1, c_up))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[573, 572])).
% 11.29/7.55 tff(575,plain,
% 11.29/7.55 (~m_state_v_CVM(c_s, s1, c_down)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[574, 571, 561])).
% 11.29/7.55 tff(576,plain,
% 11.29/7.55 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(577,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[576])).
% 11.29/7.55 tff(578,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(579,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_33')).
% 11.29/7.55 tff(580,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[579, 578])).
% 11.29/7.55 tff(581,plain,(
% 11.29/7.55 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[580])).
% 11.29/7.55 tff(582,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[581, 577])).
% 11.29/7.55 tff(583,plain,
% 11.29/7.55 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(584,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(585,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s1, c_down) | (~node97(c_s, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[584, 583])).
% 11.29/7.55 tff(586,plain,
% 11.29/7.55 (~node97(c_s, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[585, 582, 575])).
% 11.29/7.55 tff(587,plain,
% 11.29/7.55 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(588,plain,
% 11.29/7.55 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(589,plain,
% 11.29/7.55 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s1, c_up)) | (~m_state_v_CVM(c_s, s1, c_idle))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[588, 587])).
% 11.29/7.55 tff(590,plain,
% 11.29/7.55 (~m_state_v_CVM(c_s, s1, c_idle)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[589, 333, 561])).
% 11.29/7.55 tff(591,plain,
% 11.29/7.55 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(592,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[591])).
% 11.29/7.55 tff(593,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(594,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_16')).
% 11.29/7.55 tff(595,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[594, 593])).
% 11.29/7.55 tff(596,plain,(
% 11.29/7.55 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[595])).
% 11.29/7.55 tff(597,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[596, 592])).
% 11.29/7.55 tff(598,plain,
% 11.29/7.55 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(599,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | (m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(600,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_idle) | (~node92(J0, X)))) | m_state_v_CVM(c_s, s1, c_idle) | (~node92(c_s, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[599, 598])).
% 11.29/7.55 tff(601,plain,
% 11.29/7.55 (~node92(c_s, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[600, 597, 590])).
% 11.29/7.55 tff(602,plain,
% 11.29/7.55 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(603,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[602])).
% 11.29/7.55 tff(604,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(605,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_28')).
% 11.29/7.55 tff(606,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[605, 604])).
% 11.29/7.55 tff(607,plain,(
% 11.29/7.55 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[606])).
% 11.29/7.55 tff(608,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[607, 603])).
% 11.29/7.55 tff(609,plain,
% 11.29/7.55 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node95(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node95(c_s, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(610,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node95(c_s, s1)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(611,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node95(c_s, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[610, 609])).
% 11.29/7.55 tff(612,plain,
% 11.29/7.55 (~node95(c_s, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[611, 608, 429])).
% 11.29/7.55 tff(613,plain,
% 11.29/7.55 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(614,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[613])).
% 11.29/7.55 tff(615,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(616,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_20')).
% 11.29/7.55 tff(617,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[616, 615])).
% 11.29/7.55 tff(618,plain,(
% 11.29/7.55 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[617])).
% 11.29/7.55 tff(619,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[618, 614])).
% 11.29/7.55 tff(620,plain,
% 11.29/7.55 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(621,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(622,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node93(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node93(c_s, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[621, 620])).
% 11.29/7.55 tff(623,plain,
% 11.29/7.55 (~node93(c_s, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[622, 619, 447])).
% 11.29/7.55 tff(624,plain,
% 11.29/7.55 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X))) <=> (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(625,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[624])).
% 11.29/7.55 tff(626,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(627,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_22')).
% 11.29/7.55 tff(628,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[627, 626])).
% 11.29/7.55 tff(629,plain,(
% 11.29/7.55 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))),
% 11.29/7.55 inference(skolemize,[status(sab)],[628])).
% 11.29/7.55 tff(630,plain,
% 11.29/7.55 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[629, 625])).
% 11.29/7.55 tff(631,plain,
% 11.29/7.55 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node94(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node94(c_s, s1)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(632,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))) | (m_state_v_gvp(c_s, s1, c_sd) | (~node94(c_s, s1)))),
% 11.29/7.55 inference(quant_inst,[status(thm)],[])).
% 11.29/7.55 tff(633,plain,
% 11.29/7.55 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_sd) | (~node94(J0, X)))) | m_state_v_gvp(c_s, s1, c_sd) | (~node94(c_s, s1))),
% 11.29/7.55 inference(modus_ponens,[status(thm)],[632, 631])).
% 11.29/7.55 tff(634,plain,
% 11.29/7.55 (~node94(c_s, s1)),
% 11.29/7.55 inference(unit_resolution,[status(thm)],[633, 630, 447])).
% 11.29/7.55 tff(635,plain,
% 11.29/7.55 (^[Y: $i, X: $i, J0: $i] : refl((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(636,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[635])).
% 11.29/7.55 tff(637,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.55 inference(rewrite,[status(thm)],[])).
% 11.29/7.55 tff(638,plain,
% 11.29/7.55 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node92(J0, X) | node93(J0, X)) | node94(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X))), ((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X)) | node95(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X)) | node95(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X))), ((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)))), (((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)) | node96(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X)) | node96(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X))), (((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)))), ((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)) | node97(J0, X)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X)) | node97(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X))), ((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)))), (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)) | node98(J0, X, Y)))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X)) | node98(J0, X, Y)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y))), (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)))), ((((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> ((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)) | (~node99(J0, X, Y))))), rewrite(((node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))), ((((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))))),
% 11.29/7.55 inference(bind,[status(th)],[])).
% 11.29/7.55 tff(639,plain,
% 11.29/7.55 (![Y: $i, X: $i, J0: $i] : (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.55 inference(quant_intro,[status(thm)],[638])).
% 11.29/7.56 tff(640,axiom,(![Y: $i, X: $i, J0: $i] : (((((((node92(J0, X) | node93(J0, X)) | node94(J0, X)) | node95(J0, X)) | node96(J0, X)) | node97(J0, X)) | node98(J0, X, Y)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_43')).
% 11.29/7.56 tff(641,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[640, 639])).
% 11.29/7.56 tff(642,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[641, 637])).
% 11.29/7.56 tff(643,plain,(
% 11.29/7.56 ![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.56 inference(skolemize,[status(sab)],[642])).
% 11.29/7.56 tff(644,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[643, 636])).
% 11.29/7.56 tff(645,plain,
% 11.29/7.56 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(646,plain,
% 11.29/7.56 ((node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2))) <=> (node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(647,plain,
% 11.29/7.56 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1)))),
% 11.29/7.56 inference(monotonicity,[status(thm)],[646])).
% 11.29/7.56 tff(648,plain,
% 11.29/7.56 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1))),
% 11.29/7.56 inference(transitivity,[status(thm)],[647, 645])).
% 11.29/7.56 tff(649,plain,
% 11.29/7.56 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s1) | node93(c_s, s1) | node94(c_s, s1) | node95(c_s, s1) | node96(c_s, s1) | node97(c_s, s1) | node98(c_s, s1, s2) | (~node99(c_s, s1, s2)))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(650,plain,
% 11.29/7.56 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s1) | node95(c_s, s1) | node92(c_s, s1) | node97(c_s, s1) | node93(c_s, s1) | (~node99(c_s, s1, s2)) | node98(c_s, s1, s2) | node96(c_s, s1)),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[649, 648])).
% 11.29/7.56 tff(651,plain,
% 11.29/7.56 (node98(c_s, s1, s2) | node96(c_s, s1)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[650, 644, 634, 623, 612, 601, 586, 540])).
% 11.29/7.56 tff(652,plain,
% 11.29/7.56 (node98(c_s, s1, s2)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[651, 526])).
% 11.29/7.56 tff(653,plain,
% 11.29/7.56 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(654,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[653])).
% 11.29/7.56 tff(655,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(656,plain,
% 11.29/7.56 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(657,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[656])).
% 11.29/7.56 tff(658,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CVM(J0, Y, V)) | m_state_v_CVM(J0, X, V)) | (~node98(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_36')).
% 11.29/7.56 tff(659,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[658, 657])).
% 11.29/7.56 tff(660,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[659, 655])).
% 11.29/7.56 tff(661,plain,(
% 11.29/7.56 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(skolemize,[status(sab)],[660])).
% 11.29/7.56 tff(662,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[661, 654])).
% 11.29/7.56 tff(663,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(664,plain,
% 11.29/7.56 (((~node98(c_s, s1, s2)) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down))) <=> (m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(665,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s1, s2)) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2))))),
% 11.29/7.56 inference(monotonicity,[status(thm)],[664])).
% 11.29/7.56 tff(666,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s1, s2)) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2)))),
% 11.29/7.56 inference(transitivity,[status(thm)],[665, 663])).
% 11.29/7.56 tff(667,plain,
% 11.29/7.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s1, s2)) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(668,plain,
% 11.29/7.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s1, c_down) | (~m_state_v_CVM(c_s, s2, c_down)) | (~node98(c_s, s1, s2))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[667, 666])).
% 11.29/7.56 tff(669,plain,
% 11.29/7.56 (~m_state_v_CVM(c_s, s2, c_down)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[668, 662, 575, 652])).
% 11.29/7.56 tff(670,plain,
% 11.29/7.56 (^[X: $i, J0: $i] : refl(((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(671,plain,
% 11.29/7.56 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[670])).
% 11.29/7.56 tff(672,plain,
% 11.29/7.56 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(673,plain,
% 11.29/7.56 (^[X: $i, J0: $i] : rewrite((m_state_v_CVM(J0, X, c_down) | (~node78(J0, X))) <=> ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down)))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(674,plain,
% 11.29/7.56 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node78(J0, X))) <=> ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[673])).
% 11.29/7.56 tff(675,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node78(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_177')).
% 11.29/7.56 tff(676,plain,
% 11.29/7.56 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[675, 674])).
% 11.29/7.56 tff(677,plain,
% 11.29/7.56 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[676, 672])).
% 11.29/7.56 tff(678,plain,(
% 11.29/7.56 ![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(skolemize,[status(sab)],[677])).
% 11.29/7.56 tff(679,plain,
% 11.29/7.56 (![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[678, 671])).
% 11.29/7.56 tff(680,plain,
% 11.29/7.56 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s2)) | m_state_v_CVM(c_s, s2, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s2)) | m_state_v_CVM(c_s, s2, c_down))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(681,plain,
% 11.29/7.56 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s2)) | m_state_v_CVM(c_s, s2, c_down))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(682,plain,
% 11.29/7.56 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s2)) | m_state_v_CVM(c_s, s2, c_down)),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[681, 680])).
% 11.29/7.56 tff(683,plain,
% 11.29/7.56 (~node78(c_s, s2)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[682, 679, 669])).
% 11.29/7.56 tff(684,plain,
% 11.29/7.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(685,plain,
% 11.29/7.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(686,plain,
% 11.29/7.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s1, s2)),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[685, 684])).
% 11.29/7.56 tff(687,plain,
% 11.29/7.56 (node82(c_s, s1, s2)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[686, 62, 313, 271])).
% 11.29/7.56 tff(688,plain,
% 11.29/7.56 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(689,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[688])).
% 11.29/7.56 tff(690,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(691,plain,
% 11.29/7.56 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) <=> ((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))), (((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) | (~node81(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V)) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))), (((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(692,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[691])).
% 11.29/7.56 tff(693,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_gvp(J0, Y, V) | (~m_state_v_gvp(J0, X, V))) | (~node81(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_184')).
% 11.29/7.56 tff(694,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[693, 692])).
% 11.29/7.56 tff(695,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[694, 690])).
% 11.29/7.56 tff(696,plain,(
% 11.29/7.56 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(skolemize,[status(sab)],[695])).
% 11.29/7.56 tff(697,plain,
% 11.29/7.56 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[696, 689])).
% 11.29/7.56 tff(698,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(699,plain,
% 11.29/7.56 (((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb)) <=> ((~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(700,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1))))),
% 11.29/7.56 inference(monotonicity,[status(thm)],[699])).
% 11.29/7.56 tff(701,plain,
% 11.29/7.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1)))),
% 11.29/7.56 inference(transitivity,[status(thm)],[700, 698])).
% 11.29/7.56 tff(702,plain,
% 11.29/7.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s0, s1)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(703,plain,
% 11.29/7.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s0, c_ovb)) | m_state_v_gvp(c_s, s1, c_ovb) | (~node81(c_s, s0, s1))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[702, 701])).
% 11.29/7.56 tff(704,plain,
% 11.29/7.56 (m_state_v_gvp(c_s, s1, c_ovb)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[703, 697, 167, 412])).
% 11.29/7.56 tff(705,plain,
% 11.29/7.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(706,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[705])).
% 11.29/7.56 tff(707,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(708,plain,
% 11.29/7.56 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(709,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[708])).
% 11.29/7.56 tff(710,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node87(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_204')).
% 11.29/7.56 tff(711,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[710, 709])).
% 11.29/7.56 tff(712,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[711, 707])).
% 11.29/7.56 tff(713,plain,(
% 11.29/7.56 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(skolemize,[status(sab)],[712])).
% 11.29/7.56 tff(714,plain,
% 11.29/7.56 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[713, 706])).
% 11.29/7.56 tff(715,plain,
% 11.29/7.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(716,plain,
% 11.29/7.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(717,plain,
% 11.29/7.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s0, s1)),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[716, 715])).
% 11.29/7.56 tff(718,plain,
% 11.29/7.56 (node87(c_s, s0, s1)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[717, 62, 714, 49])).
% 11.29/7.56 tff(719,plain,
% 11.29/7.56 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(720,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[719])).
% 11.29/7.56 tff(721,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(722,plain,
% 11.29/7.56 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))), (((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(723,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[722])).
% 11.29/7.56 tff(724,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_200')).
% 11.29/7.56 tff(725,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[724, 723])).
% 11.29/7.56 tff(726,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[725, 721])).
% 11.29/7.56 tff(727,plain,(
% 11.29/7.56 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(skolemize,[status(sab)],[726])).
% 11.29/7.56 tff(728,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[727, 720])).
% 11.29/7.56 tff(729,plain,
% 11.29/7.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(730,plain,
% 11.29/7.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | ((~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb))),
% 11.29/7.56 inference(quant_inst,[status(thm)],[])).
% 11.29/7.56 tff(731,plain,
% 11.29/7.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_idle)) | (~m_state_v_gvp(J0, X, c_ovb)) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(c_s, s0, c_idle)) | (~m_state_v_gvp(c_s, s0, c_ovb)) | (~node87(c_s, s0, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)),
% 11.29/7.56 inference(modus_ponens,[status(thm)],[730, 729])).
% 11.29/7.56 tff(732,plain,
% 11.29/7.56 (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)),
% 11.29/7.56 inference(unit_resolution,[status(thm)],[731, 728, 167, 326, 718])).
% 11.29/7.56 tff(733,plain,
% 11.29/7.56 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))),
% 11.29/7.56 inference(bind,[status(th)],[])).
% 11.29/7.56 tff(734,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.56 inference(quant_intro,[status(thm)],[733])).
% 11.29/7.56 tff(735,plain,
% 11.29/7.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.56 inference(rewrite,[status(thm)],[])).
% 11.29/7.56 tff(736,plain,
% 11.29/7.56 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) <=> ((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> (((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CVM(J0, X, c_up))))), rewrite((((~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))), (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) <=> (((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gvp(J0, Y, c_sd)))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | m_state_v_gvp(J0, Y, c_sd)) <=> ((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) <=> ((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))))), ((((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~node82(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb))) | (~node82(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))), ((((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))))),
% 11.29/7.57 inference(bind,[status(th)],[])).
% 11.29/7.57 tff(737,plain,
% 11.29/7.57 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.57 inference(quant_intro,[status(thm)],[736])).
% 11.29/7.57 tff(738,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_gvp(J0, X, c_ovb)) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~m_state_v_CVM(J0, X, c_up))) | m_state_v_gvp(J0, Y, c_sd)) | (~node82(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_186')).
% 11.29/7.57 tff(739,plain,
% 11.29/7.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[738, 737])).
% 11.29/7.57 tff(740,plain,
% 11.29/7.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[739, 735])).
% 11.29/7.57 tff(741,plain,(
% 11.29/7.57 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.57 inference(skolemize,[status(sab)],[740])).
% 11.29/7.57 tff(742,plain,
% 11.29/7.57 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[741, 734])).
% 11.29/7.57 tff(743,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | (m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(744,plain,
% 11.29/7.57 (((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb))) <=> (m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(745,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | (m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb))))),
% 11.29/7.57 inference(monotonicity,[status(thm)],[744])).
% 11.29/7.57 tff(746,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 11.29/7.57 inference(transitivity,[status(thm)],[745, 743])).
% 11.29/7.57 tff(747,plain,
% 11.29/7.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | ((~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(c_s, s1, c_ovb)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(748,plain,
% 11.29/7.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_CVM(J0, X, c_up)) | (~node82(J0, X, Y)) | m_state_v_gvp(J0, Y, c_sd) | (~m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gvp(J0, X, c_ovb)))) | m_state_v_gvp(c_s, s2, c_sd) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node82(c_s, s1, s2)) | (~m_state_v_gvp(c_s, s1, c_ovb))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[747, 746])).
% 11.29/7.57 tff(749,plain,
% 11.29/7.57 (m_state_v_gvp(c_s, s2, c_sd)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[748, 742, 732, 561, 704, 687])).
% 11.29/7.57 tff(750,plain,
% 11.29/7.57 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(751,plain,
% 11.29/7.57 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(752,plain,
% 11.29/7.57 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovb)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovb)) | (~m_state_v_gvp(c_s, s2, c_sd))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[751, 750])).
% 11.29/7.57 tff(753,plain,
% 11.29/7.57 (~m_state_v_gvp(c_s, s2, c_ovb)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[752, 174, 749])).
% 11.29/7.57 tff(754,plain,
% 11.29/7.57 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))))),
% 11.29/7.57 inference(bind,[status(th)],[])).
% 11.29/7.57 tff(755,plain,
% 11.29/7.57 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 11.29/7.57 inference(quant_intro,[status(thm)],[754])).
% 11.29/7.57 tff(756,plain,
% 11.29/7.57 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(757,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_172')).
% 11.29/7.57 tff(758,plain,
% 11.29/7.57 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[757, 756])).
% 11.29/7.57 tff(759,plain,(
% 11.29/7.57 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 11.29/7.57 inference(skolemize,[status(sab)],[758])).
% 11.29/7.57 tff(760,plain,
% 11.29/7.57 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[759, 755])).
% 11.29/7.57 tff(761,plain,
% 11.29/7.57 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(762,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(763,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node77(c_s, s2))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[762, 761])).
% 11.29/7.57 tff(764,plain,
% 11.29/7.57 (~node77(c_s, s2)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[763, 760, 753])).
% 11.29/7.57 tff(765,plain,
% 11.29/7.57 (^[I0: $i, X: $i] : refl(((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))))),
% 11.29/7.57 inference(bind,[status(th)],[])).
% 11.29/7.57 tff(766,plain,
% 11.29/7.57 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.29/7.57 inference(quant_intro,[status(thm)],[765])).
% 11.29/7.57 tff(767,plain,
% 11.29/7.57 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(768,axiom,(![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_72')).
% 11.29/7.57 tff(769,plain,
% 11.29/7.57 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[768, 767])).
% 11.29/7.57 tff(770,plain,(
% 11.29/7.57 ![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.29/7.57 inference(skolemize,[status(sab)],[769])).
% 11.29/7.57 tff(771,plain,
% 11.29/7.57 (![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[770, 766])).
% 11.29/7.57 tff(772,plain,
% 11.29/7.57 (((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(773,plain,
% 11.29/7.57 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | ((~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(774,plain,
% 11.29/7.57 ((~![I0: $i, X: $i] : ((~m_state_v_gvp(I0, X, c_ovf)) | (~m_state_v_gvp(I0, X, c_sd)))) | (~m_state_v_gvp(c_s, s2, c_ovf)) | (~m_state_v_gvp(c_s, s2, c_sd))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[773, 772])).
% 11.29/7.57 tff(775,plain,
% 11.29/7.57 (~m_state_v_gvp(c_s, s2, c_ovf)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[774, 771, 749])).
% 11.29/7.57 tff(776,plain,
% 11.29/7.57 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(777,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(778,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node79(c_s, s2))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[777, 776])).
% 11.29/7.57 tff(779,plain,
% 11.29/7.57 (~node79(c_s, s2)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[778, 369, 775])).
% 11.29/7.57 tff(780,plain,
% 11.29/7.57 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(781,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(782,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node80(c_s, s2))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[781, 780])).
% 11.29/7.57 tff(783,plain,
% 11.29/7.57 (~node80(c_s, s2)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[782, 380, 775])).
% 11.29/7.57 tff(784,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(785,plain,
% 11.29/7.57 ((node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3))) <=> (node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(786,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3))))),
% 11.29/7.57 inference(monotonicity,[status(thm)],[785])).
% 11.29/7.57 tff(787,plain,
% 11.29/7.57 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))),
% 11.29/7.57 inference(transitivity,[status(thm)],[786, 784])).
% 11.29/7.57 tff(788,plain,
% 11.29/7.57 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node80(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(789,plain,
% 11.29/7.57 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s2) | node77(c_s, s2) | node78(c_s, s2) | node79(c_s, s2) | node81(c_s, s2, s3) | (~node82(c_s, s2, s3))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[788, 787])).
% 11.29/7.57 tff(790,plain,
% 11.29/7.57 (node81(c_s, s2, s3)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[789, 405, 783, 779, 764, 683, 515])).
% 11.29/7.57 tff(791,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(792,plain,
% 11.29/7.57 (((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf))) <=> (m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(793,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3))))),
% 11.29/7.57 inference(monotonicity,[status(thm)],[792])).
% 11.29/7.57 tff(794,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3)))),
% 11.29/7.57 inference(transitivity,[status(thm)],[793, 791])).
% 11.29/7.57 tff(795,plain,
% 11.29/7.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(796,plain,
% 11.29/7.57 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~m_state_v_gvp(c_s, s3, c_ovf)) | (~node81(c_s, s2, s3))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[795, 794])).
% 11.29/7.57 tff(797,plain,
% 11.29/7.57 (~m_state_v_gvp(c_s, s3, c_ovf)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[796, 422, 775, 790])).
% 11.29/7.57 tff(798,plain,
% 11.29/7.57 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node102(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node102(c_s, s3)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(799,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node102(c_s, s3)))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(800,plain,
% 11.29/7.57 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node102(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node102(c_s, s3))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[799, 798])).
% 11.29/7.57 tff(801,plain,
% 11.29/7.57 (~node102(c_s, s3)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[800, 436, 797])).
% 11.29/7.57 tff(802,plain,
% 11.29/7.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(803,plain,
% 11.29/7.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3))),
% 11.29/7.57 inference(quant_inst,[status(thm)],[])).
% 11.29/7.57 tff(804,plain,
% 11.29/7.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s2, s3)),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[803, 802])).
% 11.29/7.57 tff(805,plain,
% 11.29/7.57 (node105(c_s, s2, s3)),
% 11.29/7.57 inference(unit_resolution,[status(thm)],[804, 27, 24, 480])).
% 11.29/7.57 tff(806,plain,
% 11.29/7.57 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)))),
% 11.29/7.57 inference(bind,[status(th)],[])).
% 11.29/7.57 tff(807,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(quant_intro,[status(thm)],[806])).
% 11.29/7.57 tff(808,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(809,plain,
% 11.29/7.57 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) <=> ((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))), (((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> (((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) | (~node98(J0, X, Y))))), rewrite((((~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V)) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))), (((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))))),
% 11.29/7.57 inference(bind,[status(th)],[])).
% 11.29/7.57 tff(810,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(quant_intro,[status(thm)],[809])).
% 11.29/7.57 tff(811,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CVM(J0, Y, V) | (~m_state_v_CVM(J0, X, V))) | (~node98(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_35')).
% 11.29/7.57 tff(812,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[811, 810])).
% 11.29/7.57 tff(813,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[812, 808])).
% 11.29/7.57 tff(814,plain,(
% 11.29/7.57 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(skolemize,[status(sab)],[813])).
% 11.29/7.57 tff(815,plain,
% 11.29/7.57 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))),
% 11.29/7.57 inference(modus_ponens,[status(thm)],[814, 807])).
% 11.29/7.57 tff(816,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(817,plain,
% 11.29/7.57 (((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up)) <=> (m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2)))),
% 11.29/7.57 inference(rewrite,[status(thm)],[])).
% 11.29/7.57 tff(818,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2))))),
% 11.29/7.57 inference(monotonicity,[status(thm)],[817])).
% 11.29/7.57 tff(819,plain,
% 11.29/7.57 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2)))),
% 11.29/7.58 inference(transitivity,[status(thm)],[818, 816])).
% 11.29/7.58 tff(820,plain,
% 11.29/7.58 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s1, s2)) | (~m_state_v_CVM(c_s, s1, c_up)) | m_state_v_CVM(c_s, s2, c_up))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(821,plain,
% 11.29/7.58 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s2, c_up) | (~m_state_v_CVM(c_s, s1, c_up)) | (~node98(c_s, s1, s2))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[820, 819])).
% 11.29/7.58 tff(822,plain,
% 11.29/7.58 (m_state_v_CVM(c_s, s2, c_up)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[821, 815, 561, 652])).
% 11.29/7.58 tff(823,plain,
% 11.29/7.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(824,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[823])).
% 11.29/7.58 tff(825,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(826,plain,
% 11.29/7.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(827,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[826])).
% 11.29/7.58 tff(828,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CHM(J0, Y, c_tofeedbelt)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_58')).
% 11.29/7.58 tff(829,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[828, 827])).
% 11.29/7.58 tff(830,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[829, 825])).
% 11.29/7.58 tff(831,plain,(
% 11.29/7.58 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(skolemize,[status(sab)],[830])).
% 11.29/7.58 tff(832,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[831, 824])).
% 11.29/7.58 tff(833,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(834,plain,
% 11.29/7.58 (((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt)) <=> ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(835,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3))))),
% 11.29/7.58 inference(monotonicity,[status(thm)],[834])).
% 11.29/7.58 tff(836,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3)))),
% 11.29/7.58 inference(transitivity,[status(thm)],[835, 833])).
% 11.29/7.58 tff(837,plain,
% 11.29/7.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~node105(c_s, s2, s3)) | m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(838,plain,
% 11.29/7.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_tofeedbelt))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CHM(c_s, s3, c_tofeedbelt) | (~node105(c_s, s2, s3))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[837, 836])).
% 11.29/7.58 tff(839,plain,
% 11.29/7.58 (m_state_v_CHM(c_s, s3, c_tofeedbelt)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[838, 832, 749, 822, 805])).
% 11.29/7.58 tff(840,plain,
% 11.29/7.58 (^[I0: $i, X: $i] : refl(((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(841,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[840])).
% 11.29/7.58 tff(842,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(843,plain,
% 11.29/7.58 (^[I0: $i, X: $i] : rewrite(((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt))) <=> ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(844,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[843])).
% 11.29/7.58 tff(845,axiom,(![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_todepbelt)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_14')).
% 11.29/7.58 tff(846,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[845, 844])).
% 11.29/7.58 tff(847,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[846, 842])).
% 11.29/7.58 tff(848,plain,(
% 11.29/7.58 ![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(skolemize,[status(sab)],[847])).
% 11.29/7.58 tff(849,plain,
% 11.29/7.58 (![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[848, 841])).
% 11.29/7.58 tff(850,plain,
% 11.29/7.58 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | ((~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | (~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(851,plain,
% 11.29/7.58 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | ((~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(852,plain,
% 11.29/7.58 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_tofeedbelt)))) | (~m_state_v_CHM(c_s, s3, c_todepbelt)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[851, 850])).
% 11.29/7.58 tff(853,plain,
% 11.29/7.58 (~m_state_v_CHM(c_s, s3, c_todepbelt)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[852, 849, 839])).
% 11.29/7.58 tff(854,plain,
% 11.29/7.58 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(855,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(856,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node103(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node103(c_s, s3))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[855, 854])).
% 11.29/7.58 tff(857,plain,
% 11.29/7.58 (~node103(c_s, s3)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[856, 154, 853])).
% 11.29/7.58 tff(858,plain,
% 11.29/7.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(859,plain,
% 11.29/7.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(860,plain,
% 11.29/7.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s2, s3)),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[859, 858])).
% 11.29/7.58 tff(861,plain,
% 11.29/7.58 (node99(c_s, s2, s3)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[860, 27, 536, 480])).
% 11.29/7.58 tff(862,plain,
% 11.29/7.58 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(863,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[862])).
% 11.29/7.58 tff(864,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(865,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_17')).
% 11.29/7.58 tff(866,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[865, 864])).
% 11.29/7.58 tff(867,plain,(
% 11.29/7.58 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 11.29/7.58 inference(skolemize,[status(sab)],[866])).
% 11.29/7.58 tff(868,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[867, 863])).
% 11.29/7.58 tff(869,plain,
% 11.29/7.58 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(870,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(871,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node92(c_s, s2))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[870, 869])).
% 11.29/7.58 tff(872,plain,
% 11.29/7.58 (~node92(c_s, s2)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[871, 868, 753])).
% 11.29/7.58 tff(873,plain,
% 11.29/7.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(874,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[873])).
% 11.29/7.58 tff(875,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(876,plain,
% 11.29/7.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) <=> ((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X))), (((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) <=> (((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))))), rewrite((((~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X))), (((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)))), ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | m_state_v_CVM(J0, Y, c_idle)))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X)) | m_state_v_CVM(J0, Y, c_idle)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle))), ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)))), (((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))), (((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(877,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[876])).
% 11.29/7.58 tff(878,axiom,(![Y: $i, X: $i, J0: $i] : ((((node92(J0, X) | (~m_state_v_CVM(J0, X, c_up))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_CVM(J0, Y, c_idle)) | (~node99(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_38')).
% 11.29/7.58 tff(879,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[878, 877])).
% 11.29/7.58 tff(880,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[879, 875])).
% 11.29/7.58 tff(881,plain,(
% 11.29/7.58 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(skolemize,[status(sab)],[880])).
% 11.29/7.58 tff(882,plain,
% 11.29/7.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[881, 874])).
% 11.29/7.58 tff(883,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(884,plain,
% 11.29/7.58 (((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3))) <=> ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(885,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3))))),
% 11.29/7.58 inference(monotonicity,[status(thm)],[884])).
% 11.29/7.58 tff(886,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3)))),
% 11.29/7.58 inference(transitivity,[status(thm)],[885, 883])).
% 11.29/7.58 tff(887,plain,
% 11.29/7.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | node92(c_s, s2) | m_state_v_CVM(c_s, s3, c_idle) | (~node99(c_s, s2, s3)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(888,plain,
% 11.29/7.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | node92(J0, X) | m_state_v_CVM(J0, Y, c_idle) | (~node99(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | m_state_v_CVM(c_s, s3, c_idle) | node92(c_s, s2) | (~node99(c_s, s2, s3))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[887, 886])).
% 11.29/7.58 tff(889,plain,
% 11.29/7.58 (m_state_v_CVM(c_s, s3, c_idle)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[888, 882, 749, 822, 872, 861])).
% 11.29/7.58 tff(890,plain,
% 11.29/7.58 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(891,plain,
% 11.29/7.58 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(892,plain,
% 11.29/7.58 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_up)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_up)) | (~m_state_v_CVM(c_s, s3, c_idle))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[891, 890])).
% 11.29/7.58 tff(893,plain,
% 11.29/7.58 (~m_state_v_CVM(c_s, s3, c_up)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[892, 333, 889])).
% 11.29/7.58 tff(894,plain,
% 11.29/7.58 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))))),
% 11.29/7.58 inference(bind,[status(th)],[])).
% 11.29/7.58 tff(895,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 11.29/7.58 inference(quant_intro,[status(thm)],[894])).
% 11.29/7.58 tff(896,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(897,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_45')).
% 11.29/7.58 tff(898,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[897, 896])).
% 11.29/7.58 tff(899,plain,(
% 11.29/7.58 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 11.29/7.58 inference(skolemize,[status(sab)],[898])).
% 11.29/7.58 tff(900,plain,
% 11.29/7.58 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[899, 895])).
% 11.29/7.58 tff(901,plain,
% 11.29/7.58 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(902,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3)))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(903,plain,
% 11.29/7.58 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node100(c_s, s3))),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[902, 901])).
% 11.29/7.58 tff(904,plain,
% 11.29/7.58 (~node100(c_s, s3)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[903, 900, 893])).
% 11.29/7.58 tff(905,plain,
% 11.29/7.58 (succ(s3, s4) <=> succ(s3, s4)),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(906,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 11.29/7.58 tff(907,plain,
% 11.29/7.58 (succ(s3, s4)),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[906, 905])).
% 11.29/7.58 tff(908,plain,
% 11.29/7.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(909,plain,
% 11.29/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(910,plain,
% 11.29/7.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[909, 908])).
% 11.29/7.58 tff(911,plain,
% 11.29/7.58 (trans(s3, s4)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[910, 907, 7])).
% 11.29/7.58 tff(912,plain,
% 11.29/7.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))),
% 11.29/7.58 inference(rewrite,[status(thm)],[])).
% 11.29/7.58 tff(913,plain,
% 11.29/7.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4))),
% 11.29/7.58 inference(quant_inst,[status(thm)],[])).
% 11.29/7.58 tff(914,plain,
% 11.29/7.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s3, s4)),
% 11.29/7.58 inference(modus_ponens,[status(thm)],[913, 912])).
% 11.29/7.58 tff(915,plain,
% 11.29/7.58 (node105(c_s, s3, s4)),
% 11.29/7.58 inference(unit_resolution,[status(thm)],[914, 27, 24, 911])).
% 11.29/7.58 tff(916,plain,
% 11.29/7.58 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(917,plain,
% 11.29/7.59 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(918,plain,
% 11.29/7.59 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4) | (~node105(c_s, s3, s4))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[917, 916])).
% 11.29/7.59 tff(919,plain,
% 11.29/7.59 (node101(c_s, s3) | node100(c_s, s3) | node102(c_s, s3) | node103(c_s, s3) | node104(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[918, 233, 915])).
% 11.29/7.59 tff(920,plain,
% 11.29/7.59 (node101(c_s, s3) | node104(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[919, 904, 857, 801])).
% 11.29/7.59 tff(921,plain,
% 11.29/7.59 (node104(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[920, 511])).
% 11.29/7.59 tff(922,plain,
% 11.29/7.59 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(923,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[922])).
% 11.29/7.59 tff(924,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(925,plain,
% 11.29/7.59 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) <=> ((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))), (((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> (((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) | (~node104(J0, X, Y))))), rewrite((((~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V)) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))), (((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(926,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[925])).
% 11.29/7.59 tff(927,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_CHM(J0, Y, V) | (~m_state_v_CHM(J0, X, V))) | (~node104(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_56')).
% 11.29/7.59 tff(928,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[927, 926])).
% 11.29/7.59 tff(929,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[928, 924])).
% 11.29/7.59 tff(930,plain,(
% 11.29/7.59 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(skolemize,[status(sab)],[929])).
% 11.29/7.59 tff(931,plain,
% 11.29/7.59 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[930, 923])).
% 11.29/7.59 tff(932,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(933,plain,
% 11.29/7.59 (((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(934,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | (m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4))))),
% 11.29/7.59 inference(monotonicity,[status(thm)],[933])).
% 11.29/7.59 tff(935,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.59 inference(transitivity,[status(thm)],[934, 932])).
% 11.29/7.59 tff(936,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | ((~node104(c_s, s3, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(937,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | (~m_state_v_CHM(J0, X, V)) | m_state_v_CHM(J0, Y, V))) | m_state_v_CHM(c_s, s4, c_tofeedbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node104(c_s, s3, s4))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[936, 935])).
% 11.29/7.59 tff(938,plain,
% 11.29/7.59 (m_state_v_CHM(c_s, s4, c_tofeedbelt)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[937, 931, 839, 921])).
% 11.29/7.59 tff(939,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node95(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node95(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(940,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node95(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(941,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node95(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[940, 939])).
% 11.29/7.59 tff(942,plain,
% 11.29/7.59 (~node95(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[941, 608, 797])).
% 11.29/7.59 tff(943,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(944,plain,
% 11.29/7.59 (((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb))) <=> (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(945,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3))))),
% 11.29/7.59 inference(monotonicity,[status(thm)],[944])).
% 11.29/7.59 tff(946,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3)))),
% 11.29/7.59 inference(transitivity,[status(thm)],[945, 943])).
% 11.29/7.59 tff(947,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s2, s3)) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(948,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~m_state_v_gvp(c_s, s3, c_ovb)) | (~node81(c_s, s2, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[947, 946])).
% 11.29/7.59 tff(949,plain,
% 11.29/7.59 (~m_state_v_gvp(c_s, s3, c_ovb)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[948, 422, 753, 790])).
% 11.29/7.59 tff(950,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(951,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(952,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node92(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[951, 950])).
% 11.29/7.59 tff(953,plain,
% 11.29/7.59 (~node92(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[952, 868, 949])).
% 11.29/7.59 tff(954,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(955,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(956,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_todepbelt) | (~node96(J0, X)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~node96(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[955, 954])).
% 11.29/7.59 tff(957,plain,
% 11.29/7.59 (~node96(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[956, 522, 853])).
% 11.29/7.59 tff(958,plain,
% 11.29/7.59 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(959,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[958])).
% 11.29/7.59 tff(960,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(961,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_19')).
% 11.29/7.59 tff(962,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[961, 960])).
% 11.29/7.59 tff(963,plain,(
% 11.29/7.59 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 11.29/7.59 inference(skolemize,[status(sab)],[962])).
% 11.29/7.59 tff(964,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[963, 959])).
% 11.29/7.59 tff(965,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(966,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(967,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s3, c_up) | (~node93(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[966, 965])).
% 11.29/7.59 tff(968,plain,
% 11.29/7.59 (~node93(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[967, 964, 893])).
% 11.29/7.59 tff(969,plain,
% 11.29/7.59 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(970,plain,
% 11.29/7.59 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(971,plain,
% 11.29/7.59 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s3, c_idle))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[970, 969])).
% 11.29/7.59 tff(972,plain,
% 11.29/7.59 (~m_state_v_CHM(c_s, s3, c_idle)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[971, 82, 839])).
% 11.29/7.59 tff(973,plain,
% 11.29/7.59 (^[X: $i, J0: $i] : refl((m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(974,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[973])).
% 11.29/7.59 tff(975,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(976,axiom,(![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_23')).
% 11.29/7.59 tff(977,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[976, 975])).
% 11.29/7.59 tff(978,plain,(
% 11.29/7.59 ![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 11.29/7.59 inference(skolemize,[status(sab)],[977])).
% 11.29/7.59 tff(979,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[978, 974])).
% 11.29/7.59 tff(980,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(981,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | (m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(982,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_idle) | (~node94(J0, X)))) | m_state_v_CHM(c_s, s3, c_idle) | (~node94(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[981, 980])).
% 11.29/7.59 tff(983,plain,
% 11.29/7.59 (~node94(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[982, 979, 972])).
% 11.29/7.59 tff(984,plain,
% 11.29/7.59 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(985,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[984])).
% 11.29/7.59 tff(986,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(987,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_34')).
% 11.29/7.59 tff(988,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[987, 986])).
% 11.29/7.59 tff(989,plain,(
% 11.29/7.59 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 11.29/7.59 inference(skolemize,[status(sab)],[988])).
% 11.29/7.59 tff(990,plain,
% 11.29/7.59 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[989, 985])).
% 11.29/7.59 tff(991,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node97(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node97(c_s, s3)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(992,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node97(c_s, s3)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(993,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node97(c_s, s3))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[992, 991])).
% 11.29/7.59 tff(994,plain,
% 11.29/7.59 (~node97(c_s, s3)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[993, 990, 949])).
% 11.29/7.59 tff(995,plain,
% 11.29/7.59 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(996,plain,
% 11.29/7.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(997,plain,
% 11.29/7.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s3, s4)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s3, s4)),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[996, 995])).
% 11.29/7.59 tff(998,plain,
% 11.29/7.59 (node99(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[997, 27, 536, 911])).
% 11.29/7.59 tff(999,plain,
% 11.29/7.59 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(1000,plain,
% 11.29/7.59 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(1001,plain,
% 11.29/7.59 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4) | (~node99(c_s, s3, s4))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[1000, 999])).
% 11.29/7.59 tff(1002,plain,
% 11.29/7.59 (node92(c_s, s3) | node93(c_s, s3) | node94(c_s, s3) | node95(c_s, s3) | node96(c_s, s3) | node97(c_s, s3) | node98(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[1001, 644, 998])).
% 11.29/7.59 tff(1003,plain,
% 11.29/7.59 (node98(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[1002, 994, 983, 968, 957, 953, 942])).
% 11.29/7.59 tff(1004,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(1005,plain,
% 11.29/7.59 (((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up))) <=> (m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(1006,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up))))),
% 11.29/7.59 inference(monotonicity,[status(thm)],[1005])).
% 11.29/7.59 tff(1007,plain,
% 11.29/7.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 11.29/7.59 inference(transitivity,[status(thm)],[1006, 1004])).
% 11.29/7.59 tff(1008,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_up) | (~m_state_v_CVM(c_s, s4, c_up)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(1009,plain,
% 11.29/7.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_up) | (~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s4, c_up))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 11.29/7.59 tff(1010,plain,
% 11.29/7.59 (~m_state_v_CVM(c_s, s4, c_up)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[1009, 662, 893, 1003])).
% 11.29/7.59 tff(1011,plain,
% 11.29/7.59 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(1012,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4)))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(1013,plain,
% 11.29/7.59 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node100(c_s, s4))),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 11.29/7.59 tff(1014,plain,
% 11.29/7.59 (~node100(c_s, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[1013, 900, 1010])).
% 11.29/7.59 tff(1015,plain,
% 11.29/7.59 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))),
% 11.29/7.59 inference(rewrite,[status(thm)],[])).
% 11.29/7.59 tff(1016,plain,
% 11.29/7.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4))),
% 11.29/7.59 inference(quant_inst,[status(thm)],[])).
% 11.29/7.59 tff(1017,plain,
% 11.29/7.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node76(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node76(c_s, s3, s4)),
% 11.29/7.59 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 11.29/7.59 tff(1018,plain,
% 11.29/7.59 (node76(c_s, s3, s4)),
% 11.29/7.59 inference(unit_resolution,[status(thm)],[1017, 62, 59, 911])).
% 11.29/7.59 tff(1019,plain,
% 11.29/7.59 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))))),
% 11.29/7.59 inference(bind,[status(th)],[])).
% 11.29/7.59 tff(1020,plain,
% 11.29/7.59 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.59 inference(quant_intro,[status(thm)],[1019])).
% 11.29/7.59 tff(1021,plain,
% 11.29/7.59 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1022,plain,
% 11.29/7.60 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y))) <=> (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1023,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1022])).
% 11.29/7.60 tff(1024,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | m_state_v_gof(J0, Y)) | (~node76(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_168')).
% 11.29/7.60 tff(1025,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 11.29/7.60 tff(1026,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1025, 1021])).
% 11.29/7.60 tff(1027,plain,(
% 11.29/7.60 ![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(skolemize,[status(sab)],[1026])).
% 11.29/7.60 tff(1028,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1027, 1020])).
% 11.29/7.60 tff(1029,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1030,plain,
% 11.29/7.60 ((m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4))) <=> ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1031,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4))))),
% 11.29/7.60 inference(monotonicity,[status(thm)],[1030])).
% 11.29/7.60 tff(1032,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4)))),
% 11.29/7.60 inference(transitivity,[status(thm)],[1031, 1029])).
% 11.29/7.60 tff(1033,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (m_state_v_gof(c_s, s4) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | (~node76(c_s, s3, s4)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1034,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_gof(J0, Y) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node76(J0, X, Y)))) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4) | (~node76(c_s, s3, s4))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 11.29/7.60 tff(1035,plain,
% 11.29/7.60 ((~m_state_v_CHM(c_s, s3, c_tofeedbelt)) | m_state_v_gof(c_s, s4)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1034, 1028, 1018])).
% 11.29/7.60 tff(1036,plain,
% 11.29/7.60 (m_state_v_gof(c_s, s4)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1035, 839])).
% 11.29/7.60 tff(1037,plain,
% 11.29/7.60 (succ(s4, s5) <=> succ(s4, s5)),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1038,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 11.29/7.60 tff(1039,plain,
% 11.29/7.60 (succ(s4, s5)),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 11.29/7.60 tff(1040,plain,
% 11.29/7.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1041,plain,
% 11.29/7.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1042,plain,
% 11.29/7.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 11.29/7.60 tff(1043,plain,
% 11.29/7.60 (trans(s4, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1042, 1039, 7])).
% 11.29/7.60 tff(1044,plain,
% 11.29/7.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1045,plain,
% 11.29/7.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1046,plain,
% 11.29/7.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s4, s5)),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 11.29/7.60 tff(1047,plain,
% 11.29/7.60 (node105(c_s, s4, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1046, 27, 24, 1043])).
% 11.29/7.60 tff(1048,plain,
% 11.29/7.60 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1049,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1048])).
% 11.29/7.60 tff(1050,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1051,plain,
% 11.29/7.60 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X))), (((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) <=> (((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | (~m_state_v_gof(J0, X))))), rewrite((((~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | (~m_state_v_gof(J0, X))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X))), (((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)))), ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> (((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | m_state_v_CHM(J0, Y, c_idle)))), rewrite((((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X)) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle))), ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)))), (((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> (((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))))), rewrite((((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))), (((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1052,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1051])).
% 11.29/7.60 tff(1053,axiom,(![Y: $i, X: $i, J0: $i] : ((((node100(J0, X) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gof(J0, X))) | m_state_v_CHM(J0, Y, c_idle)) | (~node105(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_59')).
% 11.29/7.60 tff(1054,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 11.29/7.60 tff(1055,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1054, 1050])).
% 11.29/7.60 tff(1056,plain,(
% 11.29/7.60 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(skolemize,[status(sab)],[1055])).
% 11.29/7.60 tff(1057,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1056, 1049])).
% 11.29/7.60 tff(1058,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1059,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1060,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gof(J0, X)) | (~m_state_v_CHM(J0, X, c_tofeedbelt)) | node100(J0, X) | (~node105(J0, X, Y)) | m_state_v_CHM(J0, Y, c_idle))) | (~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | (~node105(c_s, s4, s5)) | m_state_v_CHM(c_s, s5, c_idle)),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 11.29/7.60 tff(1061,plain,
% 11.29/7.60 ((~m_state_v_gof(c_s, s4)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | node100(c_s, s4) | m_state_v_CHM(c_s, s5, c_idle)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1060, 1057, 1047])).
% 11.29/7.60 tff(1062,plain,
% 11.29/7.60 ((~m_state_v_CHM(c_s, s4, c_tofeedbelt)) | m_state_v_CHM(c_s, s5, c_idle)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1061, 1036, 1014])).
% 11.29/7.60 tff(1063,plain,
% 11.29/7.60 (m_state_v_CHM(c_s, s5, c_idle)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1062, 938])).
% 11.29/7.60 tff(1064,plain,
% 11.29/7.60 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1065,plain,
% 11.29/7.60 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1066,plain,
% 11.29/7.60 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_tofeedbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_tofeedbelt)) | (~m_state_v_CHM(c_s, s5, c_idle))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 11.29/7.60 tff(1067,plain,
% 11.29/7.60 (~m_state_v_CHM(c_s, s5, c_tofeedbelt)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1066, 82, 1063])).
% 11.29/7.60 tff(1068,plain,
% 11.29/7.60 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1069,plain,
% 11.29/7.60 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1070,plain,
% 11.29/7.60 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node101(c_s, s5))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 11.29/7.60 tff(1071,plain,
% 11.29/7.60 (~node101(c_s, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1070, 143, 1067])).
% 11.29/7.60 tff(1072,plain,
% 11.29/7.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1073,plain,
% 11.29/7.60 (((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt))) <=> (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1074,plain,
% 11.29/7.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4))))),
% 11.29/7.60 inference(monotonicity,[status(thm)],[1073])).
% 11.29/7.60 tff(1075,plain,
% 11.29/7.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4)))),
% 11.29/7.60 inference(transitivity,[status(thm)],[1074, 1072])).
% 11.29/7.60 tff(1076,plain,
% 11.29/7.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1077,plain,
% 11.29/7.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_todepbelt)) | (~node104(c_s, s3, s4))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 11.29/7.60 tff(1078,plain,
% 11.29/7.60 (~m_state_v_CHM(c_s, s4, c_todepbelt)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1077, 250, 853, 921])).
% 11.29/7.60 tff(1079,plain,
% 11.29/7.60 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1080,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1079])).
% 11.29/7.60 tff(1081,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1082,plain,
% 11.29/7.60 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1083,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1082])).
% 11.29/7.60 tff(1084,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node74(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_165')).
% 11.29/7.60 tff(1085,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 11.29/7.60 tff(1086,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1085, 1081])).
% 11.29/7.60 tff(1087,plain,(
% 11.29/7.60 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(skolemize,[status(sab)],[1086])).
% 11.29/7.60 tff(1088,plain,
% 11.29/7.60 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1087, 1080])).
% 11.29/7.60 tff(1089,plain,
% 11.29/7.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1090,plain,
% 11.29/7.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1091,plain,
% 11.29/7.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s4, s5)),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 11.29/7.60 tff(1092,plain,
% 11.29/7.60 (node74(c_s, s4, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1091, 62, 1088, 1043])).
% 11.29/7.60 tff(1093,plain,
% 11.29/7.60 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1094,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1093])).
% 11.29/7.60 tff(1095,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1096,plain,
% 11.29/7.60 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) <=> (m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))))), rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) <=> ((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))))), ((((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> (((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~node74(J0, X, Y))))), rewrite((((~m_state_v_gob(J0, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~node74(J0, X, Y))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))), ((((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1097,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1096])).
% 11.29/7.60 tff(1098,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt))) | (~m_state_v_gob(J0, Y))) | (~node74(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_163')).
% 11.29/7.60 tff(1099,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 11.29/7.60 tff(1100,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1099, 1095])).
% 11.29/7.60 tff(1101,plain,(
% 11.29/7.60 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(skolemize,[status(sab)],[1100])).
% 11.29/7.60 tff(1102,plain,
% 11.29/7.60 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1101, 1094])).
% 11.29/7.60 tff(1103,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1104,plain,
% 11.29/7.60 (((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1105,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))))),
% 11.29/7.60 inference(monotonicity,[status(thm)],[1104])).
% 11.29/7.60 tff(1106,plain,
% 11.29/7.60 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 11.29/7.60 inference(transitivity,[status(thm)],[1105, 1103])).
% 11.29/7.60 tff(1107,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s5)) | (~node74(c_s, s4, s5)) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1108,plain,
% 11.29/7.60 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | m_state_v_CHM(c_s, s4, c_todepbelt) | (~node74(c_s, s4, s5)) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 11.29/7.60 tff(1109,plain,
% 11.29/7.60 (m_state_v_CHM(c_s, s4, c_todepbelt) | (~m_state_v_gob(c_s, s5)) | (~m_state_v_CHM(c_s, s4, c_tofeedbelt))),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1108, 1102, 1092])).
% 11.29/7.60 tff(1110,plain,
% 11.29/7.60 (~m_state_v_gob(c_s, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1109, 938, 1078])).
% 11.29/7.60 tff(1111,plain,
% 11.29/7.60 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node103(J0, X))) <=> (m_state_v_gob(J0, X) | (~node103(J0, X))))),
% 11.29/7.60 inference(bind,[status(th)],[])).
% 11.29/7.60 tff(1112,plain,
% 11.29/7.60 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 11.29/7.60 inference(quant_intro,[status(thm)],[1111])).
% 11.29/7.60 tff(1113,plain,
% 11.29/7.60 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1114,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_55')).
% 11.29/7.60 tff(1115,plain,
% 11.29/7.60 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 11.29/7.60 tff(1116,plain,(
% 11.29/7.60 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 11.29/7.60 inference(skolemize,[status(sab)],[1115])).
% 11.29/7.60 tff(1117,plain,
% 11.29/7.60 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1116, 1112])).
% 11.29/7.60 tff(1118,plain,
% 11.29/7.60 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node103(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s5) | (~node103(c_s, s5)))),
% 11.29/7.60 inference(rewrite,[status(thm)],[])).
% 11.29/7.60 tff(1119,plain,
% 11.29/7.60 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node103(c_s, s5)))),
% 11.29/7.60 inference(quant_inst,[status(thm)],[])).
% 11.29/7.60 tff(1120,plain,
% 11.29/7.60 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s5) | (~node103(c_s, s5))),
% 11.29/7.60 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 11.29/7.60 tff(1121,plain,
% 11.29/7.60 (~node103(c_s, s5)),
% 11.29/7.60 inference(unit_resolution,[status(thm)],[1120, 1117, 1110])).
% 11.29/7.60 tff(1122,plain,
% 11.29/7.60 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node80(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node80(c_s, s3)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1123,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node80(c_s, s3)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1124,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node80(c_s, s3))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 11.29/7.61 tff(1125,plain,
% 11.29/7.61 (~node80(c_s, s3)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1124, 380, 797])).
% 11.29/7.61 tff(1126,plain,
% 11.29/7.61 (^[I0: $i, X: $i] : refl(((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))))),
% 11.29/7.61 inference(bind,[status(th)],[])).
% 11.29/7.61 tff(1127,plain,
% 11.29/7.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.29/7.61 inference(quant_intro,[status(thm)],[1126])).
% 11.29/7.61 tff(1128,plain,
% 11.29/7.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1129,axiom,(![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_22')).
% 11.29/7.61 tff(1130,plain,
% 11.29/7.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 11.29/7.61 tff(1131,plain,(
% 11.29/7.61 ![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.29/7.61 inference(skolemize,[status(sab)],[1130])).
% 11.29/7.61 tff(1132,plain,
% 11.29/7.61 (![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1131, 1127])).
% 11.29/7.61 tff(1133,plain,
% 11.29/7.61 (((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1134,plain,
% 11.29/7.61 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | ((~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1135,plain,
% 11.29/7.61 ((~![I0: $i, X: $i] : ((~m_state_v_CVM(I0, X, c_down)) | (~m_state_v_CVM(I0, X, c_idle)))) | (~m_state_v_CVM(c_s, s3, c_down)) | (~m_state_v_CVM(c_s, s3, c_idle))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 11.29/7.61 tff(1136,plain,
% 11.29/7.61 (~m_state_v_CVM(c_s, s3, c_down)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1135, 1132, 889])).
% 11.29/7.61 tff(1137,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1138,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1139,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s3)) | m_state_v_CVM(c_s, s3, c_down)),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 11.29/7.61 tff(1140,plain,
% 11.29/7.61 (~node78(c_s, s3)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1139, 679, 1136])).
% 11.29/7.61 tff(1141,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node77(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node77(c_s, s3)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1142,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node77(c_s, s3)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1143,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node77(c_s, s3))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 11.29/7.61 tff(1144,plain,
% 11.29/7.61 (~node77(c_s, s3)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1143, 760, 949])).
% 11.29/7.61 tff(1145,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node79(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node79(c_s, s3)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1146,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node79(c_s, s3)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1147,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node79(c_s, s3))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 11.29/7.61 tff(1148,plain,
% 11.29/7.61 (~node79(c_s, s3)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1147, 369, 797])).
% 11.29/7.61 tff(1149,plain,
% 11.29/7.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1150,plain,
% 11.29/7.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1151,plain,
% 11.29/7.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s3, s4)),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 11.29/7.61 tff(1152,plain,
% 11.29/7.61 (node82(c_s, s3, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1151, 62, 313, 911])).
% 11.29/7.61 tff(1153,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1154,plain,
% 11.29/7.61 ((node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4))) <=> (node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1155,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4)))),
% 11.29/7.61 inference(monotonicity,[status(thm)],[1154])).
% 11.29/7.61 tff(1156,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4))),
% 11.29/7.61 inference(transitivity,[status(thm)],[1155, 1153])).
% 11.29/7.61 tff(1157,plain,
% 11.29/7.61 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s3) | node78(c_s, s3) | node79(c_s, s3) | node80(c_s, s3) | node81(c_s, s3, s4) | (~node82(c_s, s3, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1158,plain,
% 11.29/7.61 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | (~node82(c_s, s3, s4)) | node81(c_s, s3, s4)),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 11.29/7.61 tff(1159,plain,
% 11.29/7.61 (node77(c_s, s3) | node80(c_s, s3) | node79(c_s, s3) | node78(c_s, s3) | node81(c_s, s3, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1158, 405, 1152])).
% 11.29/7.61 tff(1160,plain,
% 11.29/7.61 (node81(c_s, s3, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1159, 1148, 1144, 1140, 1125])).
% 11.29/7.61 tff(1161,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1162,plain,
% 11.29/7.61 (((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf))) <=> (m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1163,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4))))),
% 11.29/7.61 inference(monotonicity,[status(thm)],[1162])).
% 11.29/7.61 tff(1164,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(transitivity,[status(thm)],[1163, 1161])).
% 11.29/7.61 tff(1165,plain,
% 11.29/7.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1166,plain,
% 11.29/7.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~m_state_v_gvp(c_s, s4, c_ovf)) | (~node81(c_s, s3, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 11.29/7.61 tff(1167,plain,
% 11.29/7.61 (~m_state_v_gvp(c_s, s4, c_ovf)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1166, 422, 797, 1160])).
% 11.29/7.61 tff(1168,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1169,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1170,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node95(c_s, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 11.29/7.61 tff(1171,plain,
% 11.29/7.61 (~node95(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1170, 608, 1167])).
% 11.29/7.61 tff(1172,plain,
% 11.29/7.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1173,plain,
% 11.29/7.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1174,plain,
% 11.29/7.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s3, s4)),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 11.29/7.61 tff(1175,plain,
% 11.29/7.61 (node74(c_s, s3, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1174, 62, 1088, 911])).
% 11.29/7.61 tff(1176,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1177,plain,
% 11.29/7.61 (((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))) <=> ((~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1178,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))))),
% 11.29/7.61 inference(monotonicity,[status(thm)],[1177])).
% 11.29/7.61 tff(1179,plain,
% 11.29/7.61 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.61 inference(transitivity,[status(thm)],[1178, 1176])).
% 11.29/7.61 tff(1180,plain,
% 11.29/7.61 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | ((~m_state_v_gob(c_s, s4)) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1181,plain,
% 11.29/7.61 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gob(J0, Y)) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | (~m_state_v_CHM(J0, X, c_tofeedbelt)))) | (~node74(c_s, s3, s4)) | m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1180, 1179])).
% 11.29/7.61 tff(1182,plain,
% 11.29/7.61 (m_state_v_CHM(c_s, s3, c_todepbelt) | (~m_state_v_gob(c_s, s4)) | (~m_state_v_CHM(c_s, s3, c_tofeedbelt))),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1181, 1102, 1175])).
% 11.29/7.61 tff(1183,plain,
% 11.29/7.61 (~m_state_v_gob(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1182, 853, 839])).
% 11.29/7.61 tff(1184,plain,
% 11.29/7.61 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node97(J0, X))) <=> (m_state_v_gob(J0, X) | (~node97(J0, X))))),
% 11.29/7.61 inference(bind,[status(th)],[])).
% 11.29/7.61 tff(1185,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 11.29/7.61 inference(quant_intro,[status(thm)],[1184])).
% 11.29/7.61 tff(1186,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1187,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_32')).
% 11.29/7.61 tff(1188,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 11.29/7.61 tff(1189,plain,(
% 11.29/7.61 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 11.29/7.61 inference(skolemize,[status(sab)],[1188])).
% 11.29/7.61 tff(1190,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1189, 1185])).
% 11.29/7.61 tff(1191,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1192,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node97(c_s, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1193,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node97(J0, X)))) | m_state_v_gob(c_s, s4) | (~node97(c_s, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1192, 1191])).
% 11.29/7.61 tff(1194,plain,
% 11.29/7.61 (~node97(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1193, 1190, 1183])).
% 11.29/7.61 tff(1195,plain,
% 11.29/7.61 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node96(J0, X))) <=> (m_state_v_gob(J0, X) | (~node96(J0, X))))),
% 11.29/7.61 inference(bind,[status(th)],[])).
% 11.29/7.61 tff(1196,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 11.29/7.61 inference(quant_intro,[status(thm)],[1195])).
% 11.29/7.61 tff(1197,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1198,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_31')).
% 11.29/7.61 tff(1199,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 11.29/7.61 tff(1200,plain,(
% 11.29/7.61 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 11.29/7.61 inference(skolemize,[status(sab)],[1199])).
% 11.29/7.61 tff(1201,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1200, 1196])).
% 11.29/7.61 tff(1202,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1203,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node96(c_s, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1204,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s4) | (~node96(c_s, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 11.29/7.61 tff(1205,plain,
% 11.29/7.61 (~node96(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1204, 1201, 1183])).
% 11.29/7.61 tff(1206,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1207,plain,
% 11.29/7.61 (((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb))) <=> (m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1208,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4))))),
% 11.29/7.61 inference(monotonicity,[status(thm)],[1207])).
% 11.29/7.61 tff(1209,plain,
% 11.29/7.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4)))),
% 11.29/7.61 inference(transitivity,[status(thm)],[1208, 1206])).
% 11.29/7.61 tff(1210,plain,
% 11.29/7.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s3, s4)) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1211,plain,
% 11.29/7.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~m_state_v_gvp(c_s, s4, c_ovb)) | (~node81(c_s, s3, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 11.29/7.61 tff(1212,plain,
% 11.29/7.61 (~m_state_v_gvp(c_s, s4, c_ovb)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1211, 422, 949, 1160])).
% 11.29/7.61 tff(1213,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1214,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1215,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node92(c_s, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 11.29/7.61 tff(1216,plain,
% 11.29/7.61 (~node92(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1215, 868, 1212])).
% 11.29/7.61 tff(1217,plain,
% 11.29/7.61 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1218,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4)))),
% 11.29/7.61 inference(quant_inst,[status(thm)],[])).
% 11.29/7.61 tff(1219,plain,
% 11.29/7.61 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s4, c_up) | (~node93(c_s, s4))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 11.29/7.61 tff(1220,plain,
% 11.29/7.61 (~node93(c_s, s4)),
% 11.29/7.61 inference(unit_resolution,[status(thm)],[1219, 964, 1010])).
% 11.29/7.61 tff(1221,plain,
% 11.29/7.61 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)))),
% 11.29/7.61 inference(bind,[status(th)],[])).
% 11.29/7.61 tff(1222,plain,
% 11.29/7.61 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.61 inference(quant_intro,[status(thm)],[1221])).
% 11.29/7.61 tff(1223,plain,
% 11.29/7.61 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.61 inference(rewrite,[status(thm)],[])).
% 11.29/7.61 tff(1224,plain,
% 11.29/7.61 (^[X: $i, J0: $i] : rewrite((m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf)))),
% 11.29/7.61 inference(bind,[status(th)],[])).
% 11.29/7.61 tff(1225,plain,
% 11.29/7.61 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.61 inference(quant_intro,[status(thm)],[1224])).
% 11.29/7.61 tff(1226,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node14(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_39')).
% 11.29/7.61 tff(1227,plain,
% 11.29/7.61 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 11.29/7.61 tff(1228,plain,
% 11.29/7.61 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.61 inference(modus_ponens,[status(thm)],[1227, 1223])).
% 11.29/7.62 tff(1229,plain,(
% 11.29/7.62 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1228])).
% 11.29/7.62 tff(1230,plain,
% 11.29/7.62 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1229, 1222])).
% 11.29/7.62 tff(1231,plain,
% 11.29/7.62 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s3)) | m_state_v_gvp(c_s, s3, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s3)) | m_state_v_gvp(c_s, s3, c_ovf))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1232,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s3)) | m_state_v_gvp(c_s, s3, c_ovf))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1233,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s3)) | m_state_v_gvp(c_s, s3, c_ovf)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 11.29/7.62 tff(1234,plain,
% 11.29/7.62 (~node14(c_s, s3)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1233, 1230, 797])).
% 11.29/7.62 tff(1235,plain,
% 11.29/7.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1236,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1235])).
% 11.29/7.62 tff(1237,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1238,plain,
% 11.29/7.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1239,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1238])).
% 11.29/7.62 tff(1240,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node185(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_45')).
% 11.29/7.62 tff(1241,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 11.29/7.62 tff(1242,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1241, 1237])).
% 11.29/7.62 tff(1243,plain,(
% 11.29/7.62 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1242])).
% 11.29/7.62 tff(1244,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1243, 1236])).
% 11.29/7.62 tff(1245,plain,
% 11.29/7.62 (m_FeedBelt_v_s(c_FB, c_s) <=> m_FeedBelt_v_s(c_FB, c_s)),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1246,axiom,(m_FeedBelt_v_s(c_FB, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_5')).
% 11.29/7.62 tff(1247,plain,
% 11.29/7.62 (m_FeedBelt_v_s(c_FB, c_s)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 11.29/7.62 tff(1248,plain,
% 11.29/7.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1249,plain,
% 11.29/7.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1250,plain,
% 11.29/7.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s0, s1)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 11.29/7.62 tff(1251,plain,
% 11.29/7.62 (node185(c_s, s0, s1)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1250, 1247, 1244, 49])).
% 11.29/7.62 tff(1252,plain,
% 11.29/7.62 (^[I0: $i] : refl(m_state_v_FBM(I0, s0, c_off) <=> m_state_v_FBM(I0, s0, c_off))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1253,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_FBM(I0, s0, c_off) <=> ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1252])).
% 11.29/7.62 tff(1254,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_FBM(I0, s0, c_off) <=> ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1255,axiom,(![I0: $i] : m_state_v_FBM(I0, s0, c_off)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_77')).
% 11.29/7.62 tff(1256,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 11.29/7.62 tff(1257,plain,(
% 11.29/7.62 ![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.29/7.62 inference(skolemize,[status(sab)],[1256])).
% 11.29/7.62 tff(1258,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_FBM(I0, s0, c_off)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1257, 1253])).
% 11.29/7.62 tff(1259,plain,
% 11.29/7.62 ((~![I0: $i] : m_state_v_FBM(I0, s0, c_off)) | m_state_v_FBM(c_s, s0, c_off)),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1260,plain,
% 11.29/7.62 (m_state_v_FBM(c_s, s0, c_off)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1259, 1258])).
% 11.29/7.62 tff(1261,plain,
% 11.29/7.62 (^[I0: $i, X: $i] : refl(((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1262,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1261])).
% 11.29/7.62 tff(1263,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1264,plain,
% 11.29/7.62 (^[I0: $i, X: $i] : rewrite(((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off))) <=> ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1265,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1264])).
% 11.29/7.62 tff(1266,axiom,(![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_on)) | (~m_state_v_FBM(I0, X, c_off)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_26')).
% 11.29/7.62 tff(1267,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1266, 1265])).
% 11.29/7.62 tff(1268,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1267, 1263])).
% 11.29/7.62 tff(1269,plain,(
% 11.29/7.62 ![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1268])).
% 11.29/7.62 tff(1270,plain,
% 11.29/7.62 (![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1269, 1262])).
% 11.29/7.62 tff(1271,plain,
% 11.29/7.62 (((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | ((~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | (~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1272,plain,
% 11.29/7.62 ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | ((~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1273,plain,
% 11.29/7.62 ((~![I0: $i, X: $i] : ((~m_state_v_FBM(I0, X, c_off)) | (~m_state_v_FBM(I0, X, c_on)))) | (~m_state_v_FBM(c_s, s0, c_off)) | (~m_state_v_FBM(c_s, s0, c_on))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 11.29/7.62 tff(1274,plain,
% 11.29/7.62 (~m_state_v_FBM(c_s, s0, c_on)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1273, 1270, 1260])).
% 11.29/7.62 tff(1275,plain,
% 11.29/7.62 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1276,plain,
% 11.29/7.62 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1275])).
% 11.29/7.62 tff(1277,plain,
% 11.29/7.62 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1278,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_30')).
% 11.29/7.62 tff(1279,plain,
% 11.29/7.62 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 11.29/7.62 tff(1280,plain,(
% 11.29/7.62 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1279])).
% 11.29/7.62 tff(1281,plain,
% 11.29/7.62 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1280, 1276])).
% 11.29/7.62 tff(1282,plain,
% 11.29/7.62 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1283,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1284,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node182(c_s, s0))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 11.29/7.62 tff(1285,plain,
% 11.29/7.62 (~node182(c_s, s0)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1284, 1281, 1274])).
% 11.29/7.62 tff(1286,plain,
% 11.29/7.62 (^[I0: $i] : refl(m_state_v_tl(I0, s0) <=> m_state_v_tl(I0, s0))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1287,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_tl(I0, s0) <=> ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1286])).
% 11.29/7.62 tff(1288,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_tl(I0, s0) <=> ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1289,axiom,(![I0: $i] : m_state_v_tl(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_84')).
% 11.29/7.62 tff(1290,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_tl(I0, s0)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 11.29/7.62 tff(1291,plain,(
% 11.29/7.62 ![I0: $i] : m_state_v_tl(I0, s0)),
% 11.29/7.62 inference(skolemize,[status(sab)],[1290])).
% 11.29/7.62 tff(1292,plain,
% 11.29/7.62 (![I0: $i] : m_state_v_tl(I0, s0)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1291, 1287])).
% 11.29/7.62 tff(1293,plain,
% 11.29/7.62 ((~![I0: $i] : m_state_v_tl(I0, s0)) | m_state_v_tl(c_s, s0)),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1294,plain,
% 11.29/7.62 (m_state_v_tl(c_s, s0)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1293, 1292])).
% 11.29/7.62 tff(1295,plain,
% 11.29/7.62 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node183(J0, X))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1296,plain,
% 11.29/7.62 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1295])).
% 11.29/7.62 tff(1297,plain,
% 11.29/7.62 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1298,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_38')).
% 11.29/7.62 tff(1299,plain,
% 11.29/7.62 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 11.29/7.62 tff(1300,plain,(
% 11.29/7.62 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1299])).
% 11.29/7.62 tff(1301,plain,
% 11.29/7.62 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1300, 1296])).
% 11.29/7.62 tff(1302,plain,
% 11.29/7.62 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1303,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1304,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node183(c_s, s0))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 11.29/7.62 tff(1305,plain,
% 11.29/7.62 (~node183(c_s, s0)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1304, 1301, 1294])).
% 11.29/7.62 tff(1306,plain,
% 11.29/7.62 (^[Y: $i, X: $i, J0: $i] : refl((node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1307,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1306])).
% 11.29/7.62 tff(1308,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1309,plain,
% 11.29/7.62 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y))), ((((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> ((node182(J0, X) | node183(J0, X) | node184(J0, X, Y)) | (~node185(J0, X, Y))))), rewrite(((node182(J0, X) | node183(J0, X) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))), ((((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1310,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1309])).
% 11.29/7.62 tff(1311,axiom,(![Y: $i, X: $i, J0: $i] : (((node182(J0, X) | node183(J0, X)) | node184(J0, X, Y)) | (~node185(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_44')).
% 11.29/7.62 tff(1312,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 11.29/7.62 tff(1313,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1312, 1308])).
% 11.29/7.62 tff(1314,plain,(
% 11.29/7.62 ![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1313])).
% 11.29/7.62 tff(1315,plain,
% 11.29/7.62 (![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1314, 1307])).
% 11.29/7.62 tff(1316,plain,
% 11.29/7.62 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1317,plain,
% 11.29/7.62 ((node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1))) <=> (node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1318,plain,
% 11.29/7.62 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1)))),
% 11.29/7.62 inference(monotonicity,[status(thm)],[1317])).
% 11.29/7.62 tff(1319,plain,
% 11.29/7.62 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1))),
% 11.29/7.62 inference(transitivity,[status(thm)],[1318, 1316])).
% 11.29/7.62 tff(1320,plain,
% 11.29/7.62 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s0) | node183(c_s, s0) | node184(c_s, s0, s1) | (~node185(c_s, s0, s1)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1321,plain,
% 11.29/7.62 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s0) | node182(c_s, s0) | (~node185(c_s, s0, s1)) | node184(c_s, s0, s1)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 11.29/7.62 tff(1322,plain,
% 11.29/7.62 (node184(c_s, s0, s1)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1321, 1315, 1305, 1285, 1251])).
% 11.29/7.62 tff(1323,plain,
% 11.29/7.62 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1324,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1323])).
% 11.29/7.62 tff(1325,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1326,plain,
% 11.29/7.62 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y))) <=> ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1327,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1326])).
% 11.29/7.62 tff(1328,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_FBM(J0, Y, V)) | m_state_v_FBM(J0, X, V)) | (~node184(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_41')).
% 11.29/7.62 tff(1329,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 11.29/7.62 tff(1330,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1329, 1325])).
% 11.29/7.62 tff(1331,plain,(
% 11.29/7.62 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1330])).
% 11.29/7.62 tff(1332,plain,
% 11.29/7.62 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1331, 1324])).
% 11.29/7.62 tff(1333,plain,
% 11.29/7.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1334,plain,
% 11.29/7.62 (((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on))) <=> ((~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1335,plain,
% 11.29/7.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1))))),
% 11.29/7.62 inference(monotonicity,[status(thm)],[1334])).
% 11.29/7.62 tff(1336,plain,
% 11.29/7.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1)))),
% 11.29/7.62 inference(transitivity,[status(thm)],[1335, 1333])).
% 11.29/7.62 tff(1337,plain,
% 11.29/7.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s0, s1)) | m_state_v_FBM(c_s, s0, c_on) | (~m_state_v_FBM(c_s, s1, c_on)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1338,plain,
% 11.29/7.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s1, c_on)) | m_state_v_FBM(c_s, s0, c_on) | (~node184(c_s, s0, s1))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 11.29/7.62 tff(1339,plain,
% 11.29/7.62 (~m_state_v_FBM(c_s, s1, c_on)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1338, 1332, 1274, 1322])).
% 11.29/7.62 tff(1340,plain,
% 11.29/7.62 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1341,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1)))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1342,plain,
% 11.29/7.62 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node182(c_s, s1))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 11.29/7.62 tff(1343,plain,
% 11.29/7.62 (~node182(c_s, s1)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1342, 1281, 1339])).
% 11.29/7.62 tff(1344,plain,
% 11.29/7.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1345,plain,
% 11.29/7.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2))),
% 11.29/7.62 inference(quant_inst,[status(thm)],[])).
% 11.29/7.62 tff(1346,plain,
% 11.29/7.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s1, s2)),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 11.29/7.62 tff(1347,plain,
% 11.29/7.62 (node185(c_s, s1, s2)),
% 11.29/7.62 inference(unit_resolution,[status(thm)],[1346, 1247, 1244, 271])).
% 11.29/7.62 tff(1348,plain,
% 11.29/7.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl((node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1349,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1348])).
% 11.29/7.62 tff(1350,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(rewrite,[status(thm)],[])).
% 11.29/7.62 tff(1351,plain,
% 11.29/7.62 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node4(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node4(J0, X, Y)) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))))),
% 11.29/7.62 inference(bind,[status(th)],[])).
% 11.29/7.62 tff(1352,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(quant_intro,[status(thm)],[1351])).
% 11.29/7.62 tff(1353,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node4(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_12')).
% 11.29/7.62 tff(1354,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 11.29/7.62 tff(1355,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(modus_ponens,[status(thm)],[1354, 1350])).
% 11.29/7.62 tff(1356,plain,(
% 11.29/7.62 ![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.62 inference(skolemize,[status(sab)],[1355])).
% 11.29/7.62 tff(1357,plain,
% 11.29/7.62 (![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1356, 1349])).
% 11.29/7.63 tff(1358,plain,
% 11.29/7.63 (m_Communication_v_s(c_COM, c_s) <=> m_Communication_v_s(c_COM, c_s)),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1359,axiom,(m_Communication_v_s(c_COM, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_1')).
% 11.29/7.63 tff(1360,plain,
% 11.29/7.63 (m_Communication_v_s(c_COM, c_s)),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 11.29/7.63 tff(1361,plain,
% 11.29/7.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1362,plain,
% 11.29/7.63 ((node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1))) <=> ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1363,plain,
% 11.29/7.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1)))),
% 11.29/7.63 inference(monotonicity,[status(thm)],[1362])).
% 11.29/7.63 tff(1364,plain,
% 11.29/7.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1))),
% 11.29/7.63 inference(transitivity,[status(thm)],[1363, 1361])).
% 11.29/7.63 tff(1365,plain,
% 11.29/7.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s0, s1) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)))),
% 11.29/7.63 inference(quant_inst,[status(thm)],[])).
% 11.29/7.63 tff(1366,plain,
% 11.29/7.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s0, s1)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s0, s1)),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 11.29/7.63 tff(1367,plain,
% 11.29/7.63 (node4(c_s, s0, s1)),
% 11.29/7.63 inference(unit_resolution,[status(thm)],[1366, 1360, 1357, 49])).
% 11.29/7.63 tff(1368,plain,
% 11.29/7.63 (^[I0: $i] : refl(m_state_v_A1M(I0, s0, c_idle) <=> m_state_v_A1M(I0, s0, c_idle))),
% 11.29/7.63 inference(bind,[status(th)],[])).
% 11.29/7.63 tff(1369,plain,
% 11.29/7.63 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.29/7.63 inference(quant_intro,[status(thm)],[1368])).
% 11.29/7.63 tff(1370,plain,
% 11.29/7.63 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1371,axiom,(![I0: $i] : m_state_v_A1M(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_87')).
% 11.29/7.63 tff(1372,plain,
% 11.29/7.63 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 11.29/7.63 tff(1373,plain,(
% 11.29/7.63 ![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.29/7.63 inference(skolemize,[status(sab)],[1372])).
% 11.29/7.63 tff(1374,plain,
% 11.29/7.63 (![I0: $i] : m_state_v_A1M(I0, s0, c_idle)),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1373, 1369])).
% 11.29/7.63 tff(1375,plain,
% 11.29/7.63 ((~![I0: $i] : m_state_v_A1M(I0, s0, c_idle)) | m_state_v_A1M(c_s, s0, c_idle)),
% 11.29/7.63 inference(quant_inst,[status(thm)],[])).
% 11.29/7.63 tff(1376,plain,
% 11.29/7.63 (m_state_v_A1M(c_s, s0, c_idle)),
% 11.29/7.63 inference(unit_resolution,[status(thm)],[1375, 1374])).
% 11.29/7.63 tff(1377,plain,
% 11.29/7.63 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))))),
% 11.29/7.63 inference(bind,[status(th)],[])).
% 11.29/7.63 tff(1378,plain,
% 11.29/7.63 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.29/7.63 inference(quant_intro,[status(thm)],[1377])).
% 11.29/7.63 tff(1379,plain,
% 11.29/7.63 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1380,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_4')).
% 11.29/7.63 tff(1381,plain,
% 11.29/7.63 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 11.29/7.63 tff(1382,plain,(
% 11.29/7.63 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.29/7.63 inference(skolemize,[status(sab)],[1381])).
% 11.29/7.63 tff(1383,plain,
% 11.29/7.63 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1382, 1378])).
% 11.29/7.63 tff(1384,plain,
% 11.29/7.63 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1385,plain,
% 11.29/7.63 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.29/7.63 inference(quant_inst,[status(thm)],[])).
% 11.29/7.63 tff(1386,plain,
% 11.29/7.63 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_retract)) | (~m_state_v_A1M(c_s, s0, c_idle))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 11.29/7.63 tff(1387,plain,
% 11.29/7.63 (~m_state_v_A1M(c_s, s0, c_retract)),
% 11.29/7.63 inference(unit_resolution,[status(thm)],[1386, 1383, 1376])).
% 11.29/7.63 tff(1388,plain,
% 11.29/7.63 (^[X: $i, J0: $i] : refl(((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)))),
% 11.29/7.63 inference(bind,[status(th)],[])).
% 11.29/7.63 tff(1389,plain,
% 11.29/7.63 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(quant_intro,[status(thm)],[1388])).
% 11.29/7.63 tff(1390,plain,
% 11.29/7.63 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(rewrite,[status(thm)],[])).
% 11.29/7.63 tff(1391,plain,
% 11.29/7.63 (^[X: $i, J0: $i] : rewrite((m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X))) <=> ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract)))),
% 11.29/7.63 inference(bind,[status(th)],[])).
% 11.29/7.63 tff(1392,plain,
% 11.29/7.63 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X))) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(quant_intro,[status(thm)],[1391])).
% 11.29/7.63 tff(1393,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node1(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_2')).
% 11.29/7.63 tff(1394,plain,
% 11.29/7.63 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 11.29/7.63 tff(1395,plain,
% 11.29/7.63 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1394, 1390])).
% 11.29/7.63 tff(1396,plain,(
% 11.29/7.63 ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(skolemize,[status(sab)],[1395])).
% 11.29/7.63 tff(1397,plain,
% 11.29/7.63 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))),
% 11.29/7.63 inference(modus_ponens,[status(thm)],[1396, 1389])).
% 11.29/7.63 tff(1398,plain,
% 11.29/7.63 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1399,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1400,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s0)) | m_state_v_A1M(c_s, s0, c_retract)),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 11.37/7.63 tff(1401,plain,
% 11.37/7.63 (~node1(c_s, s0)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1400, 1397, 1387])).
% 11.37/7.63 tff(1402,plain,
% 11.37/7.63 (^[I0: $i] : refl(m_state_v_pfl(I0, s0) <=> m_state_v_pfl(I0, s0))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1403,plain,
% 11.37/7.63 (![I0: $i] : m_state_v_pfl(I0, s0) <=> ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1402])).
% 11.37/7.63 tff(1404,plain,
% 11.37/7.63 (![I0: $i] : m_state_v_pfl(I0, s0) <=> ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1405,axiom,(![I0: $i] : m_state_v_pfl(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_79')).
% 11.37/7.63 tff(1406,plain,
% 11.37/7.63 (![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 11.37/7.63 tff(1407,plain,(
% 11.37/7.63 ![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.37/7.63 inference(skolemize,[status(sab)],[1406])).
% 11.37/7.63 tff(1408,plain,
% 11.37/7.63 (![I0: $i] : m_state_v_pfl(I0, s0)),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1407, 1403])).
% 11.37/7.63 tff(1409,plain,
% 11.37/7.63 ((~![I0: $i] : m_state_v_pfl(I0, s0)) | m_state_v_pfl(c_s, s0)),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1410,plain,
% 11.37/7.63 (m_state_v_pfl(c_s, s0)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1409, 1408])).
% 11.37/7.63 tff(1411,plain,
% 11.37/7.63 (^[X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1412,plain,
% 11.37/7.63 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1411])).
% 11.37/7.63 tff(1413,plain,
% 11.37/7.63 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1414,axiom,(![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_6')).
% 11.37/7.63 tff(1415,plain,
% 11.37/7.63 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 11.37/7.63 tff(1416,plain,(
% 11.37/7.63 ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.37/7.63 inference(skolemize,[status(sab)],[1415])).
% 11.37/7.63 tff(1417,plain,
% 11.37/7.63 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1416, 1412])).
% 11.37/7.63 tff(1418,plain,
% 11.37/7.63 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1419,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1420,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node2(c_s, s0))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 11.37/7.63 tff(1421,plain,
% 11.37/7.63 (~node2(c_s, s0)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1420, 1417, 1410])).
% 11.37/7.63 tff(1422,plain,
% 11.37/7.63 (^[Y: $i, X: $i, J0: $i] : refl((node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1423,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1422])).
% 11.37/7.63 tff(1424,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1425,plain,
% 11.37/7.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y))), ((((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> ((node1(J0, X) | node2(J0, X) | node3(J0, X, Y)) | (~node4(J0, X, Y))))), rewrite(((node1(J0, X) | node2(J0, X) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))), ((((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1426,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1425])).
% 11.37/7.63 tff(1427,axiom,(![Y: $i, X: $i, J0: $i] : (((node1(J0, X) | node2(J0, X)) | node3(J0, X, Y)) | (~node4(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_11')).
% 11.37/7.63 tff(1428,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1427, 1426])).
% 11.37/7.63 tff(1429,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1428, 1424])).
% 11.37/7.63 tff(1430,plain,(
% 11.37/7.63 ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(skolemize,[status(sab)],[1429])).
% 11.37/7.63 tff(1431,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1430, 1423])).
% 11.37/7.63 tff(1432,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1433,plain,
% 11.37/7.63 ((node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))) <=> (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1434,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))))),
% 11.37/7.63 inference(monotonicity,[status(thm)],[1433])).
% 11.37/7.63 tff(1435,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.37/7.63 inference(transitivity,[status(thm)],[1434, 1432])).
% 11.37/7.63 tff(1436,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s0) | node2(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1437,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s0) | node1(c_s, s0) | node3(c_s, s0, s1) | (~node4(c_s, s0, s1))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 11.37/7.63 tff(1438,plain,
% 11.37/7.63 (node3(c_s, s0, s1)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1437, 1431, 1421, 1401, 1367])).
% 11.37/7.63 tff(1439,plain,
% 11.37/7.63 (^[Y: $i, X: $i, J0: $i] : refl(((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1440,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1439])).
% 11.37/7.63 tff(1441,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1442,plain,
% 11.37/7.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))), (((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) | (~node3(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y)) | (~node3(J0, X, Y))) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))), (((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1443,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1442])).
% 11.37/7.63 tff(1444,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_tl(J0, Y) | (~m_state_v_tl(J0, X))) | (~node3(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_7')).
% 11.37/7.63 tff(1445,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 11.37/7.63 tff(1446,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1445, 1441])).
% 11.37/7.63 tff(1447,plain,(
% 11.37/7.63 ![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(skolemize,[status(sab)],[1446])).
% 11.37/7.63 tff(1448,plain,
% 11.37/7.63 (![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1447, 1440])).
% 11.37/7.63 tff(1449,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1450,plain,
% 11.37/7.63 (((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1)) <=> ((~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1451,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1))))),
% 11.37/7.63 inference(monotonicity,[status(thm)],[1450])).
% 11.37/7.63 tff(1452,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1)))),
% 11.37/7.63 inference(transitivity,[status(thm)],[1451, 1449])).
% 11.37/7.63 tff(1453,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s0, s1)) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1454,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s0)) | m_state_v_tl(c_s, s1) | (~node3(c_s, s0, s1))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 11.37/7.63 tff(1455,plain,
% 11.37/7.63 (m_state_v_tl(c_s, s1)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1454, 1448, 1294, 1438])).
% 11.37/7.63 tff(1456,plain,
% 11.37/7.63 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node183(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node183(c_s, s1)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1457,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node183(c_s, s1)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1458,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node183(c_s, s1))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 11.37/7.63 tff(1459,plain,
% 11.37/7.63 (~node183(c_s, s1)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1458, 1301, 1455])).
% 11.37/7.63 tff(1460,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1461,plain,
% 11.37/7.63 ((node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2))) <=> (node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1462,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2)))),
% 11.37/7.63 inference(monotonicity,[status(thm)],[1461])).
% 11.37/7.63 tff(1463,plain,
% 11.37/7.63 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2))),
% 11.37/7.63 inference(transitivity,[status(thm)],[1462, 1460])).
% 11.37/7.63 tff(1464,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s1) | node183(c_s, s1) | node184(c_s, s1, s2) | (~node185(c_s, s1, s2)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1465,plain,
% 11.37/7.63 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s1) | node183(c_s, s1) | (~node185(c_s, s1, s2)) | node184(c_s, s1, s2)),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 11.37/7.63 tff(1466,plain,
% 11.37/7.63 (node182(c_s, s1) | node184(c_s, s1, s2)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1465, 1315, 1459, 1347])).
% 11.37/7.63 tff(1467,plain,
% 11.37/7.63 (node184(c_s, s1, s2)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1466, 1343])).
% 11.37/7.63 tff(1468,plain,
% 11.37/7.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1469,plain,
% 11.37/7.63 (((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on))) <=> (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1470,plain,
% 11.37/7.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2))))),
% 11.37/7.63 inference(monotonicity,[status(thm)],[1469])).
% 11.37/7.63 tff(1471,plain,
% 11.37/7.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2)))),
% 11.37/7.63 inference(transitivity,[status(thm)],[1470, 1468])).
% 11.37/7.63 tff(1472,plain,
% 11.37/7.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s1, s2)) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1473,plain,
% 11.37/7.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s1, c_on) | (~m_state_v_FBM(c_s, s2, c_on)) | (~node184(c_s, s1, s2))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 11.37/7.63 tff(1474,plain,
% 11.37/7.63 (~m_state_v_FBM(c_s, s2, c_on)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1473, 1332, 1339, 1467])).
% 11.37/7.63 tff(1475,plain,
% 11.37/7.63 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1476,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2)))),
% 11.37/7.63 inference(quant_inst,[status(thm)],[])).
% 11.37/7.63 tff(1477,plain,
% 11.37/7.63 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node182(c_s, s2))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 11.37/7.63 tff(1478,plain,
% 11.37/7.63 (~node182(c_s, s2)),
% 11.37/7.63 inference(unit_resolution,[status(thm)],[1477, 1281, 1474])).
% 11.37/7.63 tff(1479,plain,
% 11.37/7.63 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1480,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1479])).
% 11.37/7.63 tff(1481,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1482,plain,
% 11.37/7.63 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))))),
% 11.37/7.63 inference(bind,[status(th)],[])).
% 11.37/7.63 tff(1483,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(quant_intro,[status(thm)],[1482])).
% 11.37/7.63 tff(1484,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node24(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_23')).
% 11.37/7.63 tff(1485,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 11.37/7.63 tff(1486,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1485, 1481])).
% 11.37/7.63 tff(1487,plain,(
% 11.37/7.63 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(skolemize,[status(sab)],[1486])).
% 11.37/7.63 tff(1488,plain,
% 11.37/7.63 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))),
% 11.37/7.63 inference(modus_ponens,[status(thm)],[1487, 1480])).
% 11.37/7.63 tff(1489,plain,
% 11.37/7.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s1, s2))),
% 11.37/7.63 inference(rewrite,[status(thm)],[])).
% 11.37/7.63 tff(1490,plain,
% 11.37/7.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s1, s2))),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1491,plain,
% 11.37/7.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s1, s2)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 11.37/7.64 tff(1492,plain,
% 11.37/7.64 (node24(c_s, s1, s2)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1491, 62, 1488, 271])).
% 11.37/7.64 tff(1493,plain,
% 11.37/7.64 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1494,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1493])).
% 11.37/7.64 tff(1495,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1496,plain,
% 11.37/7.64 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1497,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1496])).
% 11.37/7.64 tff(1498,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node175(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_44')).
% 11.37/7.64 tff(1499,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 11.37/7.64 tff(1500,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1499, 1495])).
% 11.37/7.64 tff(1501,plain,(
% 11.37/7.64 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(skolemize,[status(sab)],[1500])).
% 11.37/7.64 tff(1502,plain,
% 11.37/7.64 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1501, 1494])).
% 11.37/7.64 tff(1503,plain,
% 11.37/7.64 (m_ERTable_v_s(c_ERT, c_s) <=> m_ERTable_v_s(c_ERT, c_s)),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1504,axiom,(m_ERTable_v_s(c_ERT, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 11.37/7.64 tff(1505,plain,
% 11.37/7.64 (m_ERTable_v_s(c_ERT, c_s)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 11.37/7.64 tff(1506,plain,
% 11.37/7.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1507,plain,
% 11.37/7.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1))),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1508,plain,
% 11.37/7.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s0, s1)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 11.37/7.64 tff(1509,plain,
% 11.37/7.64 (node175(c_s, s0, s1)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1508, 1505, 1502, 49])).
% 11.37/7.64 tff(1510,plain,
% 11.37/7.64 (^[I0: $i] : refl(m_state_v_TRM(I0, s0, c_idle) <=> m_state_v_TRM(I0, s0, c_idle))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1511,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1510])).
% 11.37/7.64 tff(1512,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1513,axiom,(![I0: $i] : m_state_v_TRM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_83')).
% 11.37/7.64 tff(1514,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 11.37/7.64 tff(1515,plain,(
% 11.37/7.64 ![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/7.64 inference(skolemize,[status(sab)],[1514])).
% 11.37/7.64 tff(1516,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TRM(I0, s0, c_idle)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1515, 1511])).
% 11.37/7.64 tff(1517,plain,
% 11.37/7.64 ((~![I0: $i] : m_state_v_TRM(I0, s0, c_idle)) | m_state_v_TRM(c_s, s0, c_idle)),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1518,plain,
% 11.37/7.64 (m_state_v_TRM(c_s, s0, c_idle)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1517, 1516])).
% 11.37/7.64 tff(1519,plain,
% 11.37/7.64 (^[I0: $i] : refl(m_state_v_TEM(I0, s0, c_idle) <=> m_state_v_TEM(I0, s0, c_idle))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1520,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1519])).
% 11.37/7.64 tff(1521,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1522,axiom,(![I0: $i] : m_state_v_TEM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_82')).
% 11.37/7.64 tff(1523,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 11.37/7.64 tff(1524,plain,(
% 11.37/7.64 ![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.37/7.64 inference(skolemize,[status(sab)],[1523])).
% 11.37/7.64 tff(1525,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_TEM(I0, s0, c_idle)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1524, 1520])).
% 11.37/7.64 tff(1526,plain,
% 11.37/7.64 ((~![I0: $i] : m_state_v_TEM(I0, s0, c_idle)) | m_state_v_TEM(c_s, s0, c_idle)),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1527,plain,
% 11.37/7.64 (m_state_v_TEM(c_s, s0, c_idle)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1526, 1525])).
% 11.37/7.64 tff(1528,plain,
% 11.37/7.64 (^[I0: $i] : refl(m_state_v_minRot(I0, s0) <=> m_state_v_minRot(I0, s0))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1529,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_minRot(I0, s0) <=> ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1528])).
% 11.37/7.64 tff(1530,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_minRot(I0, s0) <=> ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1531,axiom,(![I0: $i] : m_state_v_minRot(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_81')).
% 11.37/7.64 tff(1532,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 11.37/7.64 tff(1533,plain,(
% 11.37/7.64 ![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/7.64 inference(skolemize,[status(sab)],[1532])).
% 11.37/7.64 tff(1534,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_minRot(I0, s0)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1533, 1529])).
% 11.37/7.64 tff(1535,plain,
% 11.37/7.64 ((~![I0: $i] : m_state_v_minRot(I0, s0)) | m_state_v_minRot(c_s, s0)),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1536,plain,
% 11.37/7.64 (m_state_v_minRot(c_s, s0)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1535, 1534])).
% 11.37/7.64 tff(1537,plain,
% 11.37/7.64 (^[I0: $i] : refl(m_state_v_botPos(I0, s0) <=> m_state_v_botPos(I0, s0))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1538,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_botPos(I0, s0) <=> ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1537])).
% 11.37/7.64 tff(1539,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_botPos(I0, s0) <=> ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1540,axiom,(![I0: $i] : m_state_v_botPos(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_80')).
% 11.37/7.64 tff(1541,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 11.37/7.64 tff(1542,plain,(
% 11.37/7.64 ![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/7.64 inference(skolemize,[status(sab)],[1541])).
% 11.37/7.64 tff(1543,plain,
% 11.37/7.64 (![I0: $i] : m_state_v_botPos(I0, s0)),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1542, 1538])).
% 11.37/7.64 tff(1544,plain,
% 11.37/7.64 ((~![I0: $i] : m_state_v_botPos(I0, s0)) | m_state_v_botPos(c_s, s0)),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1545,plain,
% 11.37/7.64 (m_state_v_botPos(c_s, s0)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1544, 1543])).
% 11.37/7.64 tff(1546,plain,
% 11.37/7.64 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1547,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1546])).
% 11.37/7.64 tff(1548,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1549,plain,
% 11.37/7.64 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TEM(J0, Y, c_up)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1550,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1549])).
% 11.37/7.64 tff(1551,axiom,(![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TEM(J0, Y, c_up)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_39')).
% 11.37/7.64 tff(1552,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 11.37/7.64 tff(1553,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1552, 1548])).
% 11.37/7.64 tff(1554,plain,(
% 11.37/7.64 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(skolemize,[status(sab)],[1553])).
% 11.37/7.64 tff(1555,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1554, 1547])).
% 11.37/7.64 tff(1556,plain,
% 11.37/7.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1)))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1557,plain,
% 11.37/7.64 (((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up)) <=> ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1)))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1558,plain,
% 11.37/7.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1))))),
% 11.37/7.64 inference(monotonicity,[status(thm)],[1557])).
% 11.37/7.64 tff(1559,plain,
% 11.37/7.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1)))),
% 11.37/7.64 inference(transitivity,[status(thm)],[1558, 1556])).
% 11.37/7.64 tff(1560,plain,
% 11.37/7.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~node175(c_s, s0, s1)) | m_state_v_TEM(c_s, s1, c_up))),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1561,plain,
% 11.37/7.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_up))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TEM(c_s, s1, c_up) | (~node175(c_s, s0, s1))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 11.37/7.64 tff(1562,plain,
% 11.37/7.64 (m_state_v_TEM(c_s, s1, c_up)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1561, 1555, 1545, 1536, 1527, 1518, 1294, 1509])).
% 11.37/7.64 tff(1563,plain,
% 11.37/7.64 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1564,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1563])).
% 11.37/7.64 tff(1565,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1566,plain,
% 11.37/7.64 (^[I0: $i, X: $i] : rewrite(((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up))))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1567,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1566])).
% 11.37/7.64 tff(1568,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_down)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_36')).
% 11.37/7.64 tff(1569,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 11.37/7.64 tff(1570,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1569, 1565])).
% 11.37/7.64 tff(1571,plain,(
% 11.37/7.64 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(skolemize,[status(sab)],[1570])).
% 11.37/7.64 tff(1572,plain,
% 11.37/7.64 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1571, 1564])).
% 11.37/7.64 tff(1573,plain,
% 11.37/7.64 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1574,plain,
% 11.37/7.64 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.37/7.64 inference(quant_inst,[status(thm)],[])).
% 11.37/7.64 tff(1575,plain,
% 11.37/7.64 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s1, c_down)) | (~m_state_v_TEM(c_s, s1, c_up))),
% 11.37/7.64 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 11.37/7.64 tff(1576,plain,
% 11.37/7.64 (~m_state_v_TEM(c_s, s1, c_down)),
% 11.37/7.64 inference(unit_resolution,[status(thm)],[1575, 1572, 1562])).
% 11.37/7.64 tff(1577,plain,
% 11.37/7.64 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))))),
% 11.37/7.64 inference(bind,[status(th)],[])).
% 11.37/7.64 tff(1578,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.64 inference(quant_intro,[status(thm)],[1577])).
% 11.37/7.64 tff(1579,plain,
% 11.37/7.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.64 inference(rewrite,[status(thm)],[])).
% 11.37/7.64 tff(1580,plain,
% 11.37/7.64 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) <=> (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down)) | (~m_state_v_botPos(J0, Y))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down)) | (~m_state_v_botPos(J0, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)))), (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))))), ((((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))), ((((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1581,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1580])).
% 11.37/7.65 tff(1582,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_botPos(J0, Y))) | (~node24(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_21')).
% 11.37/7.65 tff(1583,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 11.37/7.65 tff(1584,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1583, 1579])).
% 11.37/7.65 tff(1585,plain,(
% 11.37/7.65 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.65 inference(skolemize,[status(sab)],[1584])).
% 11.37/7.65 tff(1586,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1585, 1578])).
% 11.37/7.65 tff(1587,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1588,plain,
% 11.37/7.65 (((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_botPos(c_s, s2)) | (~node24(c_s, s1, s2))) <=> ((~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1589,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_botPos(c_s, s2)) | (~node24(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2))))),
% 11.37/7.65 inference(monotonicity,[status(thm)],[1588])).
% 11.37/7.65 tff(1590,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_botPos(c_s, s2)) | (~node24(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2)))),
% 11.37/7.65 inference(transitivity,[status(thm)],[1589, 1587])).
% 11.37/7.65 tff(1591,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_botPos(c_s, s2)) | (~node24(c_s, s1, s2)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1592,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node24(c_s, s1, s2))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 11.37/7.65 tff(1593,plain,
% 11.37/7.65 (~m_state_v_botPos(c_s, s2)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1592, 1586, 1562, 1576, 1492])).
% 11.37/7.65 tff(1594,plain,
% 11.37/7.65 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node183(J0, X))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1595,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1594])).
% 11.37/7.65 tff(1596,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1597,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_34')).
% 11.37/7.65 tff(1598,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 11.37/7.65 tff(1599,plain,(
% 11.37/7.65 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 11.37/7.65 inference(skolemize,[status(sab)],[1598])).
% 11.37/7.65 tff(1600,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1599, 1595])).
% 11.37/7.65 tff(1601,plain,
% 11.37/7.65 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node183(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node183(c_s, s2)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1602,plain,
% 11.37/7.65 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node183(c_s, s2)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1603,plain,
% 11.37/7.65 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node183(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node183(c_s, s2))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 11.37/7.65 tff(1604,plain,
% 11.37/7.65 (~node183(c_s, s2)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1603, 1600, 1593])).
% 11.37/7.65 tff(1605,plain,
% 11.37/7.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1606,plain,
% 11.37/7.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1607,plain,
% 11.37/7.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s2, s3)),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 11.37/7.65 tff(1608,plain,
% 11.37/7.65 (node185(c_s, s2, s3)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1607, 1247, 1244, 480])).
% 11.37/7.65 tff(1609,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1610,plain,
% 11.37/7.65 ((node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3))) <=> (node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1611,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3)))),
% 11.37/7.65 inference(monotonicity,[status(thm)],[1610])).
% 11.37/7.65 tff(1612,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3))),
% 11.37/7.65 inference(transitivity,[status(thm)],[1611, 1609])).
% 11.37/7.65 tff(1613,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s2) | node183(c_s, s2) | node184(c_s, s2, s3) | (~node185(c_s, s2, s3)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1614,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s2) | node182(c_s, s2) | (~node185(c_s, s2, s3)) | node184(c_s, s2, s3)),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 11.37/7.65 tff(1615,plain,
% 11.37/7.65 (node183(c_s, s2) | node182(c_s, s2) | node184(c_s, s2, s3)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1614, 1315, 1608])).
% 11.37/7.65 tff(1616,plain,
% 11.37/7.65 (node182(c_s, s2) | node184(c_s, s2, s3)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1615, 1604])).
% 11.37/7.65 tff(1617,plain,
% 11.37/7.65 (node184(c_s, s2, s3)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1616, 1478])).
% 11.37/7.65 tff(1618,plain,
% 11.37/7.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1619,plain,
% 11.37/7.65 (((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on))) <=> (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1620,plain,
% 11.37/7.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3))))),
% 11.37/7.65 inference(monotonicity,[status(thm)],[1619])).
% 11.37/7.65 tff(1621,plain,
% 11.37/7.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3)))),
% 11.37/7.65 inference(transitivity,[status(thm)],[1620, 1618])).
% 11.37/7.65 tff(1622,plain,
% 11.37/7.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s2, s3)) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1623,plain,
% 11.37/7.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s2, c_on) | (~m_state_v_FBM(c_s, s3, c_on)) | (~node184(c_s, s2, s3))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 11.37/7.65 tff(1624,plain,
% 11.37/7.65 (~m_state_v_FBM(c_s, s3, c_on)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1623, 1332, 1474, 1617])).
% 11.37/7.65 tff(1625,plain,
% 11.37/7.65 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1626,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1625])).
% 11.37/7.65 tff(1627,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1628,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_35')).
% 11.37/7.65 tff(1629,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 11.37/7.65 tff(1630,plain,(
% 11.37/7.65 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 11.37/7.65 inference(skolemize,[status(sab)],[1629])).
% 11.37/7.65 tff(1631,plain,
% 11.37/7.65 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1630, 1626])).
% 11.37/7.65 tff(1632,plain,
% 11.37/7.65 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1633,plain,
% 11.37/7.65 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1634,plain,
% 11.37/7.65 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node13(c_s, s3))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 11.37/7.65 tff(1635,plain,
% 11.37/7.65 (~node13(c_s, s3)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1634, 1631, 1624])).
% 11.37/7.65 tff(1636,plain,
% 11.37/7.65 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1637,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1636])).
% 11.37/7.65 tff(1638,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1639,plain,
% 11.37/7.65 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node16(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))), (((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1640,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1639])).
% 11.37/7.65 tff(1641,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node16(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_48')).
% 11.37/7.65 tff(1642,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 11.37/7.65 tff(1643,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1642, 1638])).
% 11.37/7.65 tff(1644,plain,(
% 11.37/7.65 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(skolemize,[status(sab)],[1643])).
% 11.37/7.65 tff(1645,plain,
% 11.37/7.65 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1644, 1637])).
% 11.37/7.65 tff(1646,plain,
% 11.37/7.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1647,plain,
% 11.37/7.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1648,plain,
% 11.37/7.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)) | node16(c_s, s3, s4)),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 11.37/7.65 tff(1649,plain,
% 11.37/7.65 (node16(c_s, s3, s4)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1648, 1360, 1645, 911])).
% 11.37/7.65 tff(1650,plain,
% 11.37/7.65 (^[Y: $i, X: $i, J0: $i] : refl((node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1651,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1650])).
% 11.37/7.65 tff(1652,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1653,plain,
% 11.37/7.65 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y))), ((((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> ((node13(J0, X) | node14(J0, X) | node15(J0, X, Y)) | (~node16(J0, X, Y))))), rewrite(((node13(J0, X) | node14(J0, X) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))), ((((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))))),
% 11.37/7.65 inference(bind,[status(th)],[])).
% 11.37/7.65 tff(1654,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(quant_intro,[status(thm)],[1653])).
% 11.37/7.65 tff(1655,axiom,(![Y: $i, X: $i, J0: $i] : (((node13(J0, X) | node14(J0, X)) | node15(J0, X, Y)) | (~node16(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_47')).
% 11.37/7.65 tff(1656,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 11.37/7.65 tff(1657,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1656, 1652])).
% 11.37/7.65 tff(1658,plain,(
% 11.37/7.65 ![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(skolemize,[status(sab)],[1657])).
% 11.37/7.65 tff(1659,plain,
% 11.37/7.65 (![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1658, 1651])).
% 11.37/7.65 tff(1660,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1661,plain,
% 11.37/7.65 ((node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4))) <=> (node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1662,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4))))),
% 11.37/7.65 inference(monotonicity,[status(thm)],[1661])).
% 11.37/7.65 tff(1663,plain,
% 11.37/7.65 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))),
% 11.37/7.65 inference(transitivity,[status(thm)],[1662, 1660])).
% 11.37/7.65 tff(1664,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s3) | node14(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4)))),
% 11.37/7.65 inference(quant_inst,[status(thm)],[])).
% 11.37/7.65 tff(1665,plain,
% 11.37/7.65 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4) | (~node16(c_s, s3, s4))),
% 11.37/7.65 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 11.37/7.65 tff(1666,plain,
% 11.37/7.65 (node14(c_s, s3) | node13(c_s, s3) | node15(c_s, s3, s4)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1665, 1659, 1649])).
% 11.37/7.65 tff(1667,plain,
% 11.37/7.65 (node15(c_s, s3, s4)),
% 11.37/7.65 inference(unit_resolution,[status(thm)],[1666, 1635, 1234])).
% 11.37/7.65 tff(1668,plain,
% 11.37/7.65 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))),
% 11.37/7.65 inference(rewrite,[status(thm)],[])).
% 11.37/7.65 tff(1669,plain,
% 11.37/7.65 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1670,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node13(c_s, s1))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 11.37/7.66 tff(1671,plain,
% 11.37/7.66 (~node13(c_s, s1)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1670, 1631, 1339])).
% 11.37/7.66 tff(1672,plain,
% 11.37/7.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1673,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1674,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)) | node16(c_s, s1, s2)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 11.37/7.66 tff(1675,plain,
% 11.37/7.66 (node16(c_s, s1, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1674, 1360, 1645, 271])).
% 11.37/7.66 tff(1676,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s1)) | m_state_v_gvp(c_s, s1, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s1)) | m_state_v_gvp(c_s, s1, c_ovf))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1677,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s1)) | m_state_v_gvp(c_s, s1, c_ovf))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1678,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s1)) | m_state_v_gvp(c_s, s1, c_ovf)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 11.37/7.66 tff(1679,plain,
% 11.37/7.66 (~node14(c_s, s1)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1678, 1230, 429])).
% 11.37/7.66 tff(1680,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1681,plain,
% 11.37/7.66 ((node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2))) <=> (node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1682,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2)))),
% 11.37/7.66 inference(monotonicity,[status(thm)],[1681])).
% 11.37/7.66 tff(1683,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2))),
% 11.37/7.66 inference(transitivity,[status(thm)],[1682, 1680])).
% 11.37/7.66 tff(1684,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s1) | node14(c_s, s1) | node15(c_s, s1, s2) | (~node16(c_s, s1, s2)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1685,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s1) | node13(c_s, s1) | (~node16(c_s, s1, s2)) | node15(c_s, s1, s2)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 11.37/7.66 tff(1686,plain,
% 11.37/7.66 (node13(c_s, s1) | node15(c_s, s1, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1685, 1659, 1679, 1675])).
% 11.37/7.66 tff(1687,plain,
% 11.37/7.66 (node15(c_s, s1, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1686, 1671])).
% 11.37/7.66 tff(1688,assumption,(m_state_v_ff(c_s, s0)), introduced(assumption)).
% 11.37/7.66 tff(1689,plain,
% 11.37/7.66 (^[I0: $i] : refl((~m_state_v_ff(I0, s0)) <=> (~m_state_v_ff(I0, s0)))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1690,plain,
% 11.37/7.66 (![I0: $i] : (~m_state_v_ff(I0, s0)) <=> ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1689])).
% 11.37/7.66 tff(1691,plain,
% 11.37/7.66 (![I0: $i] : (~m_state_v_ff(I0, s0)) <=> ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1692,axiom,(![I0: $i] : (~m_state_v_ff(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_115')).
% 11.37/7.66 tff(1693,plain,
% 11.37/7.66 (![I0: $i] : (~m_state_v_ff(I0, s0))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 11.37/7.66 tff(1694,plain,(
% 11.37/7.66 ![I0: $i] : (~m_state_v_ff(I0, s0))),
% 11.37/7.66 inference(skolemize,[status(sab)],[1693])).
% 11.37/7.66 tff(1695,plain,
% 11.37/7.66 (![I0: $i] : (~m_state_v_ff(I0, s0))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1694, 1690])).
% 11.37/7.66 tff(1696,plain,
% 11.37/7.66 ((~![I0: $i] : (~m_state_v_ff(I0, s0))) | (~m_state_v_ff(c_s, s0))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1697,plain,
% 11.37/7.66 ($false),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1696, 1695, 1688])).
% 11.37/7.66 tff(1698,plain,(~m_state_v_ff(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.37/7.66 tff(1699,plain,
% 11.37/7.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1700,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1701,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s0, s1)) | node16(c_s, s0, s1)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 11.37/7.66 tff(1702,plain,
% 11.37/7.66 (node16(c_s, s0, s1)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1701, 1360, 1645, 49])).
% 11.37/7.66 tff(1703,plain,
% 11.37/7.66 (^[X: $i, J0: $i] : refl(((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1704,plain,
% 11.37/7.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1703])).
% 11.37/7.66 tff(1705,plain,
% 11.37/7.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1706,plain,
% 11.37/7.66 (^[X: $i, J0: $i] : rewrite((m_state_v_CMag(J0, X, c_off) | (~node14(J0, X))) <=> ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off)))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1707,plain,
% 11.37/7.66 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node14(J0, X))) <=> ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1706])).
% 11.37/7.66 tff(1708,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node14(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_42')).
% 11.37/7.66 tff(1709,plain,
% 11.37/7.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1708, 1707])).
% 11.37/7.66 tff(1710,plain,
% 11.37/7.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1709, 1705])).
% 11.37/7.66 tff(1711,plain,(
% 11.37/7.66 ![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(skolemize,[status(sab)],[1710])).
% 11.37/7.66 tff(1712,plain,
% 11.37/7.66 (![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1711, 1704])).
% 11.37/7.66 tff(1713,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s0)) | m_state_v_CMag(c_s, s0, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s0)) | m_state_v_CMag(c_s, s0, c_off))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1714,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s0)) | m_state_v_CMag(c_s, s0, c_off))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1715,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s0)) | m_state_v_CMag(c_s, s0, c_off)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 11.37/7.66 tff(1716,plain,
% 11.37/7.66 (~node14(c_s, s0)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1715, 1712, 212])).
% 11.37/7.66 tff(1717,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1718,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1719,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node13(c_s, s0))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 11.37/7.66 tff(1720,plain,
% 11.37/7.66 (~node13(c_s, s0)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1719, 1631, 1274])).
% 11.37/7.66 tff(1721,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1722,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1723,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node13(c_s, s0) | node14(c_s, s0) | node15(c_s, s0, s1) | (~node16(c_s, s0, s1))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 11.37/7.66 tff(1724,plain,
% 11.37/7.66 (node15(c_s, s0, s1)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1723, 1659, 1720, 1716, 1702])).
% 11.37/7.66 tff(1725,plain,
% 11.37/7.66 (^[Y: $i, X: $i, J0: $i] : refl(((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1726,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1725])).
% 11.37/7.66 tff(1727,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1728,plain,
% 11.37/7.66 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y))) <=> ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y))))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1729,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1728])).
% 11.37/7.66 tff(1730,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_ff(J0, Y)) | m_state_v_ff(J0, X)) | (~node15(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_44')).
% 11.37/7.66 tff(1731,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 11.37/7.66 tff(1732,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1731, 1727])).
% 11.37/7.66 tff(1733,plain,(
% 11.37/7.66 ![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(skolemize,[status(sab)],[1732])).
% 11.37/7.66 tff(1734,plain,
% 11.37/7.66 (![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1733, 1726])).
% 11.37/7.66 tff(1735,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1736,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1737,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~node15(c_s, s0, s1)) | m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 11.37/7.66 tff(1738,plain,
% 11.37/7.66 (m_state_v_ff(c_s, s0) | (~m_state_v_ff(c_s, s1))),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1737, 1734, 1724])).
% 11.37/7.66 tff(1739,plain,
% 11.37/7.66 (~m_state_v_ff(c_s, s1)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1738, 1698])).
% 11.37/7.66 tff(1740,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1741,plain,
% 11.37/7.66 (((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2))) <=> ((~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1742,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2))))),
% 11.37/7.66 inference(monotonicity,[status(thm)],[1741])).
% 11.37/7.66 tff(1743,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2)))),
% 11.37/7.66 inference(transitivity,[status(thm)],[1742, 1740])).
% 11.37/7.66 tff(1744,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s1, s2)) | m_state_v_ff(c_s, s1) | (~m_state_v_ff(c_s, s2)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1745,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s2)) | m_state_v_ff(c_s, s1) | (~node15(c_s, s1, s2))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 11.37/7.66 tff(1746,plain,
% 11.37/7.66 (~m_state_v_ff(c_s, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1745, 1734, 1739, 1687])).
% 11.37/7.66 tff(1747,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1748,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1749,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node13(c_s, s2))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 11.37/7.66 tff(1750,plain,
% 11.37/7.66 (~node13(c_s, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1749, 1631, 1474])).
% 11.37/7.66 tff(1751,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1752,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | ((~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1753,plain,
% 11.37/7.66 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_gvp(J0, X, c_ovf))) | (~node14(c_s, s2)) | m_state_v_gvp(c_s, s2, c_ovf)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 11.37/7.66 tff(1754,plain,
% 11.37/7.66 (~node14(c_s, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1753, 1230, 775])).
% 11.37/7.66 tff(1755,plain,
% 11.37/7.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1756,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1757,plain,
% 11.37/7.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node16(c_s, s2, s3)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 11.37/7.66 tff(1758,plain,
% 11.37/7.66 (node16(c_s, s2, s3)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1757, 1360, 1645, 480])).
% 11.37/7.66 tff(1759,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1760,plain,
% 11.37/7.66 ((node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3))) <=> (node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1761,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2)))),
% 11.37/7.66 inference(monotonicity,[status(thm)],[1760])).
% 11.37/7.66 tff(1762,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2))),
% 11.37/7.66 inference(transitivity,[status(thm)],[1761, 1759])).
% 11.37/7.66 tff(1763,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s2) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1764,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s2) | node15(c_s, s2, s3) | (~node16(c_s, s2, s3)) | node13(c_s, s2)),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 11.37/7.66 tff(1765,plain,
% 11.37/7.66 (node14(c_s, s2) | node15(c_s, s2, s3) | node13(c_s, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1764, 1659, 1758])).
% 11.37/7.66 tff(1766,plain,
% 11.37/7.66 (node15(c_s, s2, s3) | node13(c_s, s2)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1765, 1754])).
% 11.37/7.66 tff(1767,plain,
% 11.37/7.66 (node15(c_s, s2, s3)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1766, 1750])).
% 11.37/7.66 tff(1768,assumption,(~m_state_v_ff(c_s, s2)), introduced(assumption)).
% 11.37/7.66 tff(1769,assumption,(m_state_v_ff(c_s, s3)), introduced(assumption)).
% 11.37/7.66 tff(1770,assumption,(node15(c_s, s2, s3)), introduced(assumption)).
% 11.37/7.66 tff(1771,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1772,plain,
% 11.37/7.66 (((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3))) <=> ((~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1773,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3))))),
% 11.37/7.66 inference(monotonicity,[status(thm)],[1772])).
% 11.37/7.66 tff(1774,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3)))),
% 11.37/7.66 inference(transitivity,[status(thm)],[1773, 1771])).
% 11.37/7.66 tff(1775,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s2, s3)) | m_state_v_ff(c_s, s2) | (~m_state_v_ff(c_s, s3)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1776,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2) | (~node15(c_s, s2, s3))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 11.37/7.66 tff(1777,plain,
% 11.37/7.66 ($false),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1776, 1734, 1770, 1769, 1768])).
% 11.37/7.66 tff(1778,plain,((~node15(c_s, s2, s3)) | (~m_state_v_ff(c_s, s3)) | m_state_v_ff(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 11.37/7.66 tff(1779,plain,
% 11.37/7.66 (~m_state_v_ff(c_s, s3)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1778, 1767, 1746])).
% 11.37/7.66 tff(1780,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1781,plain,
% 11.37/7.66 (((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4))) <=> (m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1782,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4))))),
% 11.37/7.66 inference(monotonicity,[status(thm)],[1781])).
% 11.37/7.66 tff(1783,plain,
% 11.37/7.66 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4)))),
% 11.37/7.66 inference(transitivity,[status(thm)],[1782, 1780])).
% 11.37/7.66 tff(1784,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s3, s4)) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)))),
% 11.37/7.66 inference(quant_inst,[status(thm)],[])).
% 11.37/7.66 tff(1785,plain,
% 11.37/7.66 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s3) | (~m_state_v_ff(c_s, s4)) | (~node15(c_s, s3, s4))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1784, 1783])).
% 11.37/7.66 tff(1786,plain,
% 11.37/7.66 (~m_state_v_ff(c_s, s4)),
% 11.37/7.66 inference(unit_resolution,[status(thm)],[1785, 1734, 1779, 1667])).
% 11.37/7.66 tff(1787,plain,
% 11.37/7.66 (^[X: $i, J0: $i] : refl((m_state_v_ff(J0, X) | (~node94(J0, X))) <=> (m_state_v_ff(J0, X) | (~node94(J0, X))))),
% 11.37/7.66 inference(bind,[status(th)],[])).
% 11.37/7.66 tff(1788,plain,
% 11.37/7.66 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 11.37/7.66 inference(quant_intro,[status(thm)],[1787])).
% 11.37/7.66 tff(1789,plain,
% 11.37/7.66 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1790,axiom,(![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_26')).
% 11.37/7.66 tff(1791,plain,
% 11.37/7.66 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 11.37/7.66 tff(1792,plain,(
% 11.37/7.66 ![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 11.37/7.66 inference(skolemize,[status(sab)],[1791])).
% 11.37/7.66 tff(1793,plain,
% 11.37/7.66 (![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))),
% 11.37/7.66 inference(modus_ponens,[status(thm)],[1792, 1788])).
% 11.37/7.66 tff(1794,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s4)) | m_state_v_ff(c_s, s4))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s4)) | m_state_v_ff(c_s, s4))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1795,plain,
% 11.37/7.66 ((m_state_v_ff(c_s, s4) | (~node94(c_s, s4))) <=> ((~node94(c_s, s4)) | m_state_v_ff(c_s, s4))),
% 11.37/7.66 inference(rewrite,[status(thm)],[])).
% 11.37/7.66 tff(1796,plain,
% 11.37/7.66 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s4)) | m_state_v_ff(c_s, s4)))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1795])).
% 11.37/7.67 tff(1797,plain,
% 11.37/7.67 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s4)) | m_state_v_ff(c_s, s4))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1796, 1794])).
% 11.37/7.67 tff(1798,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s4) | (~node94(c_s, s4)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1799,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s4)) | m_state_v_ff(c_s, s4)),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 11.37/7.67 tff(1800,plain,
% 11.37/7.67 (~node94(c_s, s4)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1799, 1793, 1786])).
% 11.37/7.67 tff(1801,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1802,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1803,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s4, s5)),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 11.37/7.67 tff(1804,plain,
% 11.37/7.67 (node99(c_s, s4, s5)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1803, 27, 536, 1043])).
% 11.37/7.67 tff(1805,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1806,plain,
% 11.37/7.67 ((node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5))) <=> (node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1807,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4)))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1806])).
% 11.37/7.67 tff(1808,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1807, 1805])).
% 11.37/7.67 tff(1809,plain,
% 11.37/7.67 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node95(c_s, s4) | node96(c_s, s4) | node97(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1810,plain,
% 11.37/7.67 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | (~node99(c_s, s4, s5)) | node95(c_s, s4)),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 11.37/7.67 tff(1811,plain,
% 11.37/7.67 (node97(c_s, s4) | node96(c_s, s4) | node93(c_s, s4) | node94(c_s, s4) | node92(c_s, s4) | node98(c_s, s4, s5) | node95(c_s, s4)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1810, 644, 1804])).
% 11.37/7.67 tff(1812,plain,
% 11.37/7.67 (node98(c_s, s4, s5)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1811, 1800, 1220, 1216, 1205, 1194, 1171])).
% 11.37/7.67 tff(1813,plain,
% 11.37/7.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1814,plain,
% 11.37/7.67 (((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up))) <=> (m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1815,plain,
% 11.37/7.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5))))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1814])).
% 11.37/7.67 tff(1816,plain,
% 11.37/7.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5)))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1815, 1813])).
% 11.37/7.67 tff(1817,plain,
% 11.37/7.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1818,plain,
% 11.37/7.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_up) | (~m_state_v_CVM(c_s, s5, c_up)) | (~node98(c_s, s4, s5))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 11.37/7.67 tff(1819,plain,
% 11.37/7.67 (~m_state_v_CVM(c_s, s5, c_up)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1818, 662, 1010, 1812])).
% 11.37/7.67 tff(1820,plain,
% 11.37/7.67 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1821,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1822,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node100(c_s, s5))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 11.37/7.67 tff(1823,plain,
% 11.37/7.67 (~node100(c_s, s5)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1822, 900, 1819])).
% 11.37/7.67 tff(1824,plain,
% 11.37/7.67 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1825,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1824])).
% 11.37/7.67 tff(1826,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1827,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_8')).
% 11.37/7.67 tff(1828,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 11.37/7.67 tff(1829,plain,(
% 11.37/7.67 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 11.37/7.67 inference(skolemize,[status(sab)],[1828])).
% 11.37/7.67 tff(1830,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1829, 1825])).
% 11.37/7.67 tff(1831,plain,
% 11.37/7.67 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1832,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1833,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovf) | (~node89(c_s, s2))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 11.37/7.67 tff(1834,plain,
% 11.37/7.67 (~node89(c_s, s2)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1833, 1830, 775])).
% 11.37/7.67 tff(1835,plain,
% 11.37/7.67 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1836,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1835])).
% 11.37/7.67 tff(1837,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1838,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_2')).
% 11.37/7.67 tff(1839,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 11.37/7.67 tff(1840,plain,(
% 11.37/7.67 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 11.37/7.67 inference(skolemize,[status(sab)],[1839])).
% 11.37/7.67 tff(1841,plain,
% 11.37/7.67 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1840, 1836])).
% 11.37/7.67 tff(1842,plain,
% 11.37/7.67 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1843,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | (m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1844,plain,
% 11.37/7.67 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node88(J0, X)))) | m_state_v_gvp(c_s, s2, c_ovb) | (~node88(c_s, s2))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1843, 1842])).
% 11.37/7.67 tff(1845,plain,
% 11.37/7.67 (~node88(c_s, s2)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1844, 1841, 753])).
% 11.37/7.67 tff(1846,plain,
% 11.37/7.67 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1847,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1846])).
% 11.37/7.67 tff(1848,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1849,plain,
% 11.37/7.67 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1850,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1849])).
% 11.37/7.67 tff(1851,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((~trans(X, Y)) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | (~m_Crane_v_s(I0, J0))) | node91(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_15')).
% 11.37/7.67 tff(1852,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 11.37/7.67 tff(1853,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1852, 1848])).
% 11.37/7.67 tff(1854,plain,(
% 11.37/7.67 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(skolemize,[status(sab)],[1853])).
% 11.37/7.67 tff(1855,plain,
% 11.37/7.67 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1854, 1847])).
% 11.37/7.67 tff(1856,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1857,plain,
% 11.37/7.67 (((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1858,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3)))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1857])).
% 11.37/7.67 tff(1859,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1858, 1856])).
% 11.37/7.67 tff(1860,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s2, s3)) | node91(c_s, s2, s3) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1861,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s2, s3)),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 11.37/7.67 tff(1862,plain,
% 11.37/7.67 (node91(c_s, s2, s3)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1861, 27, 1855, 480])).
% 11.37/7.67 tff(1863,plain,
% 11.37/7.67 (^[Y: $i, X: $i, J0: $i] : refl((node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1864,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1863])).
% 11.37/7.67 tff(1865,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1866,plain,
% 11.37/7.67 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y))), ((((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> ((node88(J0, X) | node89(J0, X) | node90(J0, X, Y)) | (~node91(J0, X, Y))))), rewrite(((node88(J0, X) | node89(J0, X) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))), ((((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))))),
% 11.37/7.67 inference(bind,[status(th)],[])).
% 11.37/7.67 tff(1867,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(quant_intro,[status(thm)],[1866])).
% 11.37/7.67 tff(1868,axiom,(![Y: $i, X: $i, J0: $i] : (((node88(J0, X) | node89(J0, X)) | node90(J0, X, Y)) | (~node91(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_14')).
% 11.37/7.67 tff(1869,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 11.37/7.67 tff(1870,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1869, 1865])).
% 11.37/7.67 tff(1871,plain,(
% 11.37/7.67 ![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(skolemize,[status(sab)],[1870])).
% 11.37/7.67 tff(1872,plain,
% 11.37/7.67 (![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1871, 1864])).
% 11.37/7.67 tff(1873,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1874,plain,
% 11.37/7.67 ((node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3))) <=> (node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1875,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3))))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1874])).
% 11.37/7.67 tff(1876,plain,
% 11.37/7.67 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1875, 1873])).
% 11.37/7.67 tff(1877,plain,
% 11.37/7.67 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s2) | node89(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1878,plain,
% 11.37/7.67 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3) | (~node91(c_s, s2, s3))),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 11.37/7.67 tff(1879,plain,
% 11.37/7.67 (node89(c_s, s2) | node88(c_s, s2) | node90(c_s, s2, s3)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1878, 1872, 1862])).
% 11.37/7.67 tff(1880,plain,
% 11.37/7.67 (node90(c_s, s2, s3)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1879, 1845, 1834])).
% 11.37/7.67 tff(1881,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1882,plain,
% 11.37/7.67 (((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1883,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2)))),
% 11.37/7.67 inference(monotonicity,[status(thm)],[1882])).
% 11.37/7.67 tff(1884,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2))),
% 11.37/7.67 inference(transitivity,[status(thm)],[1883, 1881])).
% 11.37/7.67 tff(1885,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s1, s2)) | node91(c_s, s1, s2) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.37/7.67 inference(quant_inst,[status(thm)],[])).
% 11.37/7.67 tff(1886,plain,
% 11.37/7.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s1, s2)),
% 11.37/7.67 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 11.37/7.67 tff(1887,plain,
% 11.37/7.67 (node91(c_s, s1, s2)),
% 11.37/7.67 inference(unit_resolution,[status(thm)],[1886, 27, 1855, 271])).
% 11.37/7.67 tff(1888,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1889,plain,
% 11.37/7.67 (((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 11.37/7.67 inference(rewrite,[status(thm)],[])).
% 11.37/7.67 tff(1890,plain,
% 11.37/7.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1)))),
% 11.37/7.68 inference(monotonicity,[status(thm)],[1889])).
% 11.37/7.68 tff(1891,plain,
% 11.37/7.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1))),
% 11.37/7.68 inference(transitivity,[status(thm)],[1890, 1888])).
% 11.37/7.68 tff(1892,plain,
% 11.37/7.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s0, s1)) | node91(c_s, s0, s1) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.37/7.68 inference(quant_inst,[status(thm)],[])).
% 11.37/7.68 tff(1893,plain,
% 11.37/7.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s0, s1)),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 11.37/7.68 tff(1894,plain,
% 11.37/7.68 (node91(c_s, s0, s1)),
% 11.37/7.68 inference(unit_resolution,[status(thm)],[1893, 27, 1855, 49])).
% 11.37/7.68 tff(1895,plain,
% 11.37/7.68 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node89(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node89(c_s, s0)))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1896,plain,
% 11.37/7.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s0, c_ovf) | (~node89(c_s, s0)))),
% 11.37/7.68 inference(quant_inst,[status(thm)],[])).
% 11.37/7.68 tff(1897,plain,
% 11.37/7.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s0, c_ovf) | (~node89(c_s, s0))),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 11.37/7.68 tff(1898,plain,
% 11.37/7.68 (~node89(c_s, s0)),
% 11.37/7.68 inference(unit_resolution,[status(thm)],[1897, 1830, 362])).
% 11.37/7.68 tff(1899,plain,
% 11.37/7.68 (^[X: $i, J0: $i] : refl((m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))))),
% 11.37/7.68 inference(bind,[status(th)],[])).
% 11.37/7.68 tff(1900,plain,
% 11.37/7.68 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 11.37/7.68 inference(quant_intro,[status(thm)],[1899])).
% 11.37/7.68 tff(1901,plain,
% 11.37/7.68 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1902,axiom,(![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_5')).
% 11.37/7.68 tff(1903,plain,
% 11.37/7.68 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 11.37/7.68 tff(1904,plain,(
% 11.37/7.68 ![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 11.37/7.68 inference(skolemize,[status(sab)],[1903])).
% 11.37/7.68 tff(1905,plain,
% 11.37/7.68 (![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1904, 1900])).
% 11.37/7.68 tff(1906,plain,
% 11.37/7.68 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1907,plain,
% 11.37/7.68 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0)))),
% 11.37/7.68 inference(quant_inst,[status(thm)],[])).
% 11.37/7.68 tff(1908,plain,
% 11.37/7.68 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s0, c_off) | (~node88(c_s, s0))),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 11.37/7.68 tff(1909,plain,
% 11.37/7.68 (~node88(c_s, s0)),
% 11.37/7.68 inference(unit_resolution,[status(thm)],[1908, 1905, 212])).
% 11.37/7.68 tff(1910,plain,
% 11.37/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1911,plain,
% 11.37/7.68 ((node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1))) <=> (node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1912,plain,
% 11.37/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1)))),
% 11.37/7.68 inference(monotonicity,[status(thm)],[1911])).
% 11.37/7.68 tff(1913,plain,
% 11.37/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1))),
% 11.37/7.68 inference(transitivity,[status(thm)],[1912, 1910])).
% 11.37/7.68 tff(1914,plain,
% 11.37/7.68 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s0) | node89(c_s, s0) | node90(c_s, s0, s1) | (~node91(c_s, s0, s1)))),
% 11.37/7.68 inference(quant_inst,[status(thm)],[])).
% 11.37/7.68 tff(1915,plain,
% 11.37/7.68 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s0) | node89(c_s, s0) | (~node91(c_s, s0, s1)) | node90(c_s, s0, s1)),
% 11.37/7.68 inference(modus_ponens,[status(thm)],[1914, 1913])).
% 11.37/7.68 tff(1916,plain,
% 11.37/7.68 (node90(c_s, s0, s1)),
% 11.37/7.68 inference(unit_resolution,[status(thm)],[1915, 1872, 1909, 1898, 1894])).
% 11.37/7.68 tff(1917,plain,
% 11.37/7.68 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))))),
% 11.37/7.68 inference(bind,[status(th)],[])).
% 11.37/7.68 tff(1918,plain,
% 11.37/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.37/7.68 inference(quant_intro,[status(thm)],[1917])).
% 11.37/7.68 tff(1919,plain,
% 11.37/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.37/7.68 inference(rewrite,[status(thm)],[])).
% 11.37/7.68 tff(1920,plain,
% 11.37/7.68 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y))) <=> ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V))))),
% 11.37/7.68 inference(bind,[status(th)],[])).
% 11.37/7.68 tff(1921,plain,
% 11.37/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.37/7.68 inference(quant_intro,[status(thm)],[1920])).
% 11.37/7.68 tff(1922,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_CMag(J0, Y, V)) | m_state_v_CMag(J0, X, V)) | (~node90(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_11')).
% 11.37/7.68 tff(1923,plain,
% 11.37/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 11.43/7.68 tff(1924,plain,
% 11.43/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1923, 1919])).
% 11.43/7.68 tff(1925,plain,(
% 11.43/7.68 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.43/7.68 inference(skolemize,[status(sab)],[1924])).
% 11.43/7.68 tff(1926,plain,
% 11.43/7.68 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1925, 1918])).
% 11.43/7.68 tff(1927,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1928,plain,
% 11.43/7.68 (((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off))) <=> (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1929,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1))))),
% 11.43/7.68 inference(monotonicity,[status(thm)],[1928])).
% 11.43/7.68 tff(1930,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1)))),
% 11.43/7.68 inference(transitivity,[status(thm)],[1929, 1927])).
% 11.43/7.68 tff(1931,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s0, s1)) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1932,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s0, c_off) | (~m_state_v_CMag(c_s, s1, c_off)) | (~node90(c_s, s0, s1))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 11.43/7.68 tff(1933,plain,
% 11.43/7.68 (~m_state_v_CMag(c_s, s1, c_off)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1932, 1926, 212, 1916])).
% 11.43/7.68 tff(1934,plain,
% 11.43/7.68 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1935,plain,
% 11.43/7.68 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1936,plain,
% 11.43/7.68 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s1, c_off) | (~node88(c_s, s1))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 11.43/7.68 tff(1937,plain,
% 11.43/7.68 (~node88(c_s, s1)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1936, 1905, 1933])).
% 11.43/7.68 tff(1938,plain,
% 11.43/7.68 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node89(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node89(c_s, s1)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1939,plain,
% 11.43/7.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s1, c_ovf) | (~node89(c_s, s1)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1940,plain,
% 11.43/7.68 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s1, c_ovf) | (~node89(c_s, s1))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 11.43/7.68 tff(1941,plain,
% 11.43/7.68 (~node89(c_s, s1)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1940, 1830, 429])).
% 11.43/7.68 tff(1942,plain,
% 11.43/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1943,plain,
% 11.43/7.68 ((node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2))) <=> (node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1944,plain,
% 11.43/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2)))),
% 11.43/7.68 inference(monotonicity,[status(thm)],[1943])).
% 11.43/7.68 tff(1945,plain,
% 11.43/7.68 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2))),
% 11.43/7.68 inference(transitivity,[status(thm)],[1944, 1942])).
% 11.43/7.68 tff(1946,plain,
% 11.43/7.68 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s1) | node89(c_s, s1) | node90(c_s, s1, s2) | (~node91(c_s, s1, s2)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1947,plain,
% 11.43/7.68 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s1) | node89(c_s, s1) | (~node91(c_s, s1, s2)) | node90(c_s, s1, s2)),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 11.43/7.68 tff(1948,plain,
% 11.43/7.68 (node90(c_s, s1, s2)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1947, 1872, 1941, 1937, 1887])).
% 11.43/7.68 tff(1949,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1950,plain,
% 11.43/7.68 (((~node90(c_s, s1, s2)) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off))) <=> (m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1951,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s1, s2)) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2))))),
% 11.43/7.68 inference(monotonicity,[status(thm)],[1950])).
% 11.43/7.68 tff(1952,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s1, s2)) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2)))),
% 11.43/7.68 inference(transitivity,[status(thm)],[1951, 1949])).
% 11.43/7.68 tff(1953,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s1, s2)) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1954,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s1, c_off) | (~m_state_v_CMag(c_s, s2, c_off)) | (~node90(c_s, s1, s2))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 11.43/7.68 tff(1955,plain,
% 11.43/7.68 (~m_state_v_CMag(c_s, s2, c_off)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1954, 1926, 1933, 1948])).
% 11.43/7.68 tff(1956,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1957,plain,
% 11.43/7.68 (((~node90(c_s, s2, s3)) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off))) <=> (m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3)))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1958,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s2, s3)) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3))))),
% 11.43/7.68 inference(monotonicity,[status(thm)],[1957])).
% 11.43/7.68 tff(1959,plain,
% 11.43/7.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s2, s3)) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3)))),
% 11.43/7.68 inference(transitivity,[status(thm)],[1958, 1956])).
% 11.43/7.68 tff(1960,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s2, s3)) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1961,plain,
% 11.43/7.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s2, c_off) | (~m_state_v_CMag(c_s, s3, c_off)) | (~node90(c_s, s2, s3))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 11.43/7.68 tff(1962,plain,
% 11.43/7.68 (~m_state_v_CMag(c_s, s3, c_off)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1961, 1926, 1955, 1880])).
% 11.43/7.68 tff(1963,plain,
% 11.43/7.68 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)))),
% 11.43/7.68 inference(bind,[status(th)],[])).
% 11.43/7.68 tff(1964,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(quant_intro,[status(thm)],[1963])).
% 11.43/7.68 tff(1965,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1966,plain,
% 11.43/7.68 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), ((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))), (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> (((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node12(J0, X, Y)))), rewrite((((~m_Communication_v_s(I0, J0)) | (~trans(X, Y))) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))))),
% 11.43/7.68 inference(bind,[status(th)],[])).
% 11.43/7.68 tff(1967,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(quant_intro,[status(thm)],[1966])).
% 11.43/7.68 tff(1968,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | (~m_Communication_v_s(I0, J0))) | node12(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_34')).
% 11.43/7.68 tff(1969,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 11.43/7.68 tff(1970,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1969, 1965])).
% 11.43/7.68 tff(1971,plain,(
% 11.43/7.68 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(skolemize,[status(sab)],[1970])).
% 11.43/7.68 tff(1972,plain,
% 11.43/7.68 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1971, 1964])).
% 11.43/7.68 tff(1973,plain,
% 11.43/7.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))),
% 11.43/7.68 inference(rewrite,[status(thm)],[])).
% 11.43/7.68 tff(1974,plain,
% 11.43/7.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3))),
% 11.43/7.68 inference(quant_inst,[status(thm)],[])).
% 11.43/7.68 tff(1975,plain,
% 11.43/7.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node12(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)) | node12(c_s, s2, s3)),
% 11.43/7.68 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 11.43/7.68 tff(1976,plain,
% 11.43/7.68 (node12(c_s, s2, s3)),
% 11.43/7.68 inference(unit_resolution,[status(thm)],[1975, 1360, 1972, 480])).
% 11.43/7.69 tff(1977,plain,
% 11.43/7.69 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))))),
% 11.43/7.69 inference(bind,[status(th)],[])).
% 11.43/7.69 tff(1978,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(quant_intro,[status(thm)],[1977])).
% 11.43/7.69 tff(1979,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(1980,plain,
% 11.43/7.69 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))), (((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))))),
% 11.43/7.69 inference(bind,[status(th)],[])).
% 11.43/7.69 tff(1981,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(quant_intro,[status(thm)],[1980])).
% 11.43/7.69 tff(1982,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_gvp(J0, X, c_sd))) | (~m_state_v_pbe(J0, Y))) | (~node12(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_31')).
% 11.43/7.69 tff(1983,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 11.43/7.69 tff(1984,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1983, 1979])).
% 11.43/7.69 tff(1985,plain,(
% 11.43/7.69 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(skolemize,[status(sab)],[1984])).
% 11.43/7.69 tff(1986,plain,
% 11.43/7.69 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1985, 1978])).
% 11.43/7.69 tff(1987,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(1988,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(1989,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_up)) | (~m_state_v_pbe(J0, Y)) | (~node12(J0, X, Y)))) | (~m_state_v_gvp(c_s, s2, c_sd)) | (~m_state_v_CVM(c_s, s2, c_up)) | (~m_state_v_pbe(c_s, s3)) | (~node12(c_s, s2, s3))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 11.43/7.69 tff(1990,plain,
% 11.43/7.69 (~m_state_v_pbe(c_s, s3)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[1989, 1986, 749, 822, 1976])).
% 11.43/7.69 tff(1991,plain,
% 11.43/7.69 (^[X: $i, J0: $i] : refl((m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> (m_state_v_pbe(J0, X) | (~node88(J0, X))))),
% 11.43/7.69 inference(bind,[status(th)],[])).
% 11.43/7.69 tff(1992,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(quant_intro,[status(thm)],[1991])).
% 11.43/7.69 tff(1993,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(1994,axiom,(![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_6')).
% 11.43/7.69 tff(1995,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 11.43/7.69 tff(1996,plain,(
% 11.43/7.69 ![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(skolemize,[status(sab)],[1995])).
% 11.43/7.69 tff(1997,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1996, 1992])).
% 11.43/7.69 tff(1998,plain,
% 11.43/7.69 (((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(1999,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | (m_state_v_pbe(c_s, s3) | (~node88(c_s, s3)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2000,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_pbe(J0, X) | (~node88(J0, X)))) | m_state_v_pbe(c_s, s3) | (~node88(c_s, s3))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 11.43/7.69 tff(2001,plain,
% 11.43/7.69 (~node88(c_s, s3)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2000, 1997, 1990])).
% 11.43/7.69 tff(2002,plain,
% 11.43/7.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node89(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node89(c_s, s3)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2003,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node89(c_s, s3)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2004,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node89(c_s, s3))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 11.43/7.69 tff(2005,plain,
% 11.43/7.69 (~node89(c_s, s3)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2004, 1830, 797])).
% 11.43/7.69 tff(2006,plain,
% 11.43/7.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2007,plain,
% 11.43/7.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2008,plain,
% 11.43/7.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s3, s4)) | node91(c_s, s3, s4) | (~m_Crane_v_s(c_CR, c_s))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 11.43/7.69 tff(2009,plain,
% 11.43/7.69 (node91(c_s, s3, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2008, 27, 1855, 911])).
% 11.43/7.69 tff(2010,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2011,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2012,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4) | (~node91(c_s, s3, s4))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 11.43/7.69 tff(2013,plain,
% 11.43/7.69 (node88(c_s, s3) | node89(c_s, s3) | node90(c_s, s3, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2012, 1872, 2009])).
% 11.43/7.69 tff(2014,plain,
% 11.43/7.69 (node90(c_s, s3, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2013, 2005, 2001])).
% 11.43/7.69 tff(2015,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2016,plain,
% 11.43/7.69 (((~node90(c_s, s3, s4)) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off))) <=> (m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2017,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s3, s4)) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4))))),
% 11.43/7.69 inference(monotonicity,[status(thm)],[2016])).
% 11.43/7.69 tff(2018,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s3, s4)) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4)))),
% 11.43/7.69 inference(transitivity,[status(thm)],[2017, 2015])).
% 11.43/7.69 tff(2019,plain,
% 11.43/7.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s3, s4)) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2020,plain,
% 11.43/7.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s3, c_off) | (~m_state_v_CMag(c_s, s4, c_off)) | (~node90(c_s, s3, s4))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 11.43/7.69 tff(2021,plain,
% 11.43/7.69 (~m_state_v_CMag(c_s, s4, c_off)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2020, 1926, 2014, 1962])).
% 11.43/7.69 tff(2022,plain,
% 11.43/7.69 (^[X: $i, J0: $i] : refl((m_state_v_gob(J0, X) | (~node88(J0, X))) <=> (m_state_v_gob(J0, X) | (~node88(J0, X))))),
% 11.43/7.69 inference(bind,[status(th)],[])).
% 11.43/7.69 tff(2023,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(quant_intro,[status(thm)],[2022])).
% 11.43/7.69 tff(2024,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2025,axiom,(![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_1')).
% 11.43/7.69 tff(2026,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 11.43/7.69 tff(2027,plain,(
% 11.43/7.69 ![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(skolemize,[status(sab)],[2026])).
% 11.43/7.69 tff(2028,plain,
% 11.43/7.69 (![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2027, 2023])).
% 11.43/7.69 tff(2029,plain,
% 11.43/7.69 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2030,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | (m_state_v_gob(c_s, s4) | (~node88(c_s, s4)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2031,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node88(J0, X)))) | m_state_v_gob(c_s, s4) | (~node88(c_s, s4))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 11.43/7.69 tff(2032,plain,
% 11.43/7.69 (~node88(c_s, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2031, 2028, 1183])).
% 11.43/7.69 tff(2033,plain,
% 11.43/7.69 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2034,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2035,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node89(c_s, s4))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2034, 2033])).
% 11.43/7.69 tff(2036,plain,
% 11.43/7.69 (~node89(c_s, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2035, 1830, 1167])).
% 11.43/7.69 tff(2037,plain,
% 11.43/7.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2038,plain,
% 11.43/7.69 (((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2039,plain,
% 11.43/7.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5)))),
% 11.43/7.69 inference(monotonicity,[status(thm)],[2038])).
% 11.43/7.69 tff(2040,plain,
% 11.43/7.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5))),
% 11.43/7.69 inference(transitivity,[status(thm)],[2039, 2037])).
% 11.43/7.69 tff(2041,plain,
% 11.43/7.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s4, s5)) | node91(c_s, s4, s5) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2042,plain,
% 11.43/7.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s4, s5)),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 11.43/7.69 tff(2043,plain,
% 11.43/7.69 (node91(c_s, s4, s5)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2042, 27, 1855, 1043])).
% 11.43/7.69 tff(2044,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2045,plain,
% 11.43/7.69 ((node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5))) <=> (node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2046,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4)))),
% 11.43/7.69 inference(monotonicity,[status(thm)],[2045])).
% 11.43/7.69 tff(2047,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4))),
% 11.43/7.69 inference(transitivity,[status(thm)],[2046, 2044])).
% 11.43/7.69 tff(2048,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s4) | node89(c_s, s4) | node90(c_s, s4, s5) | (~node91(c_s, s4, s5)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2049,plain,
% 11.43/7.69 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s4) | (~node91(c_s, s4, s5)) | node90(c_s, s4, s5) | node88(c_s, s4)),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 11.43/7.69 tff(2050,plain,
% 11.43/7.69 (node89(c_s, s4) | node90(c_s, s4, s5) | node88(c_s, s4)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2049, 1872, 2043])).
% 11.43/7.69 tff(2051,plain,
% 11.43/7.69 (node90(c_s, s4, s5)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2050, 2036, 2032])).
% 11.43/7.69 tff(2052,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2053,plain,
% 11.43/7.69 (((~node90(c_s, s4, s5)) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off))) <=> (m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2054,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s4, s5)) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5))))),
% 11.43/7.69 inference(monotonicity,[status(thm)],[2053])).
% 11.43/7.69 tff(2055,plain,
% 11.43/7.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s4, s5)) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5)))),
% 11.43/7.69 inference(transitivity,[status(thm)],[2054, 2052])).
% 11.43/7.69 tff(2056,plain,
% 11.43/7.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s4, s5)) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2057,plain,
% 11.43/7.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 11.43/7.69 tff(2058,plain,
% 11.43/7.69 (m_state_v_CMag(c_s, s4, c_off) | (~m_state_v_CMag(c_s, s5, c_off)) | (~node90(c_s, s4, s5))),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2057, 1926])).
% 11.43/7.69 tff(2059,plain,
% 11.43/7.69 (~m_state_v_CMag(c_s, s5, c_off)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2058, 2051, 2021])).
% 11.43/7.69 tff(2060,plain,
% 11.43/7.69 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s5, c_off) | (~node102(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s5, c_off) | (~node102(c_s, s5)))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2061,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s5, c_off) | (~node102(c_s, s5)))),
% 11.43/7.69 inference(quant_inst,[status(thm)],[])).
% 11.43/7.69 tff(2062,plain,
% 11.43/7.69 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s5, c_off) | (~node102(c_s, s5))),
% 11.43/7.69 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 11.43/7.69 tff(2063,plain,
% 11.43/7.69 (~node102(c_s, s5)),
% 11.43/7.69 inference(unit_resolution,[status(thm)],[2062, 219, 2059])).
% 11.43/7.69 tff(2064,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2065,plain,
% 11.43/7.69 ((node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6))) <=> (node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5))),
% 11.43/7.69 inference(rewrite,[status(thm)],[])).
% 11.43/7.69 tff(2066,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5)))),
% 11.43/7.69 inference(monotonicity,[status(thm)],[2065])).
% 11.43/7.69 tff(2067,plain,
% 11.43/7.69 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2066, 2064])).
% 11.43/7.70 tff(2068,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s5) | node100(c_s, s5) | node102(c_s, s5) | node103(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2069,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node103(c_s, s5) | node100(c_s, s5) | node101(c_s, s5) | node104(c_s, s5, s6) | (~node105(c_s, s5, s6)) | node102(c_s, s5)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 11.43/7.70 tff(2070,plain,
% 11.43/7.70 (node104(c_s, s5, s6)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2069, 233, 2063, 1823, 1121, 1071, 31])).
% 11.43/7.70 tff(2071,plain,
% 11.43/7.70 (((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2072,plain,
% 11.43/7.70 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | ((~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle)))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2073,plain,
% 11.43/7.70 ((~![I0: $i, X: $i] : ((~m_state_v_CHM(I0, X, c_todepbelt)) | (~m_state_v_CHM(I0, X, c_idle)))) | (~m_state_v_CHM(c_s, s5, c_todepbelt)) | (~m_state_v_CHM(c_s, s5, c_idle))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 11.43/7.70 tff(2074,plain,
% 11.43/7.70 (~m_state_v_CHM(c_s, s5, c_todepbelt)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2073, 96, 1063])).
% 11.43/7.70 tff(2075,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2076,plain,
% 11.43/7.70 (((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt))) <=> (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2077,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6))))),
% 11.43/7.70 inference(monotonicity,[status(thm)],[2076])).
% 11.43/7.70 tff(2078,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2077, 2075])).
% 11.43/7.70 tff(2079,plain,
% 11.43/7.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2080,plain,
% 11.43/7.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_todepbelt) | (~m_state_v_CHM(c_s, s6, c_todepbelt)) | (~node104(c_s, s5, s6))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 11.43/7.70 tff(2081,plain,
% 11.43/7.70 (~m_state_v_CHM(c_s, s6, c_todepbelt)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2080, 250, 2074, 2070])).
% 11.43/7.70 tff(2082,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2083,plain,
% 11.43/7.70 (((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2084,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6))))),
% 11.43/7.70 inference(monotonicity,[status(thm)],[2083])).
% 11.43/7.70 tff(2085,plain,
% 11.43/7.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6)))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2084, 2082])).
% 11.43/7.70 tff(2086,plain,
% 11.43/7.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2087,plain,
% 11.43/7.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~m_state_v_CHM(c_s, s6, c_tofeedbelt)) | (~node104(c_s, s5, s6))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 11.43/7.70 tff(2088,plain,
% 11.43/7.70 (~m_state_v_CHM(c_s, s6, c_tofeedbelt)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2087, 250, 1067, 2070])).
% 11.43/7.70 tff(2089,plain,
% 11.43/7.70 (succ(s6, s7) <=> succ(s6, s7)),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2090,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 11.43/7.70 tff(2091,plain,
% 11.43/7.70 (succ(s6, s7)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 11.43/7.70 tff(2092,plain,
% 11.43/7.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2093,plain,
% 11.43/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2094,plain,
% 11.43/7.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 11.43/7.70 tff(2095,plain,
% 11.43/7.70 (trans(s6, s7)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2094, 2091, 7])).
% 11.43/7.70 tff(2096,plain,
% 11.43/7.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2097,plain,
% 11.43/7.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2098,plain,
% 11.43/7.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s6, s7)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 11.43/7.70 tff(2099,plain,
% 11.43/7.70 (node74(c_s, s6, s7)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2098, 62, 1088, 2095])).
% 11.43/7.70 tff(2100,plain,
% 11.43/7.70 (^[Y: $i, X: $i, J0: $i] : refl((node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)))),
% 11.43/7.70 inference(bind,[status(th)],[])).
% 11.43/7.70 tff(2101,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(quant_intro,[status(thm)],[2100])).
% 11.43/7.70 tff(2102,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2103,plain,
% 11.43/7.70 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) <=> (node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), ((((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> ((node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node74(J0, X, Y))))), rewrite(((node73(J0, X, Y) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | (~node74(J0, X, Y))) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))), ((((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))))),
% 11.43/7.70 inference(bind,[status(th)],[])).
% 11.43/7.70 tff(2104,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(quant_intro,[status(thm)],[2103])).
% 11.43/7.70 tff(2105,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt)) | node73(J0, X, Y)) | (~node74(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_164')).
% 11.43/7.70 tff(2106,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 11.43/7.70 tff(2107,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2106, 2102])).
% 11.43/7.70 tff(2108,plain,(
% 11.43/7.70 ![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(skolemize,[status(sab)],[2107])).
% 11.43/7.70 tff(2109,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2108, 2101])).
% 11.43/7.70 tff(2110,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2111,plain,
% 11.43/7.70 ((node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2112,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt)))),
% 11.43/7.70 inference(monotonicity,[status(thm)],[2111])).
% 11.43/7.70 tff(2113,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2112, 2110])).
% 11.43/7.70 tff(2114,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | m_state_v_CHM(c_s, s6, c_tofeedbelt))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2115,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | (~node74(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 11.43/7.70 tff(2116,plain,
% 11.43/7.70 (m_state_v_CHM(c_s, s6, c_todepbelt) | node73(c_s, s6, s7) | m_state_v_CHM(c_s, s6, c_tofeedbelt)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2115, 2109, 2099])).
% 11.43/7.70 tff(2117,plain,
% 11.43/7.70 (node73(c_s, s6, s7)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2116, 2088, 2081])).
% 11.43/7.70 tff(2118,plain,
% 11.43/7.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2119,plain,
% 11.43/7.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2120,plain,
% 11.43/7.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s5, s6)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2119, 2118])).
% 11.43/7.70 tff(2121,plain,
% 11.43/7.70 (node74(c_s, s5, s6)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2120, 62, 1088, 14])).
% 11.43/7.70 tff(2122,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2123,plain,
% 11.43/7.70 ((node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2124,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6)))),
% 11.43/7.70 inference(monotonicity,[status(thm)],[2123])).
% 11.43/7.70 tff(2125,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2124, 2122])).
% 11.43/7.70 tff(2126,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s5, s6) | (~node74(c_s, s5, s6)) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2127,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | (~node74(c_s, s5, s6)) | node73(c_s, s5, s6)),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2126, 2125])).
% 11.43/7.70 tff(2128,plain,
% 11.43/7.70 (m_state_v_CHM(c_s, s5, c_todepbelt) | m_state_v_CHM(c_s, s5, c_tofeedbelt) | node73(c_s, s5, s6)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2127, 2109, 2121])).
% 11.43/7.70 tff(2129,plain,
% 11.43/7.70 (node73(c_s, s5, s6)),
% 11.43/7.70 inference(unit_resolution,[status(thm)],[2128, 2074, 1067])).
% 11.43/7.70 tff(2130,plain,
% 11.43/7.70 (^[Y: $i, X: $i, J0: $i] : refl(((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))))),
% 11.43/7.70 inference(bind,[status(th)],[])).
% 11.43/7.70 tff(2131,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(quant_intro,[status(thm)],[2130])).
% 11.43/7.70 tff(2132,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2133,plain,
% 11.43/7.70 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y))) <=> ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y))))),
% 11.43/7.70 inference(bind,[status(th)],[])).
% 11.43/7.70 tff(2134,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(quant_intro,[status(thm)],[2133])).
% 11.43/7.70 tff(2135,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_gob(J0, Y)) | m_state_v_gob(J0, X)) | (~node73(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_161')).
% 11.43/7.70 tff(2136,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 11.43/7.70 tff(2137,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2136, 2132])).
% 11.43/7.70 tff(2138,plain,(
% 11.43/7.70 ![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(skolemize,[status(sab)],[2137])).
% 11.43/7.70 tff(2139,plain,
% 11.43/7.70 (![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2138, 2131])).
% 11.43/7.70 tff(2140,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2141,plain,
% 11.43/7.70 (((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6))) <=> (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 11.43/7.70 inference(rewrite,[status(thm)],[])).
% 11.43/7.70 tff(2142,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6))))),
% 11.43/7.70 inference(monotonicity,[status(thm)],[2141])).
% 11.43/7.70 tff(2143,plain,
% 11.43/7.70 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6)))),
% 11.43/7.70 inference(transitivity,[status(thm)],[2142, 2140])).
% 11.43/7.70 tff(2144,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s5, s6)) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)))),
% 11.43/7.70 inference(quant_inst,[status(thm)],[])).
% 11.43/7.70 tff(2145,plain,
% 11.43/7.70 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s5) | (~m_state_v_gob(c_s, s6)) | (~node73(c_s, s5, s6))),
% 11.43/7.70 inference(modus_ponens,[status(thm)],[2144, 2143])).
% 11.43/7.71 tff(2146,plain,
% 11.43/7.71 (~m_state_v_gob(c_s, s6)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2145, 2139, 1110, 2129])).
% 11.43/7.71 tff(2147,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2148,plain,
% 11.43/7.71 (((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7))) <=> (m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2149,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7))))),
% 11.43/7.71 inference(monotonicity,[status(thm)],[2148])).
% 11.43/7.71 tff(2150,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7)))),
% 11.43/7.71 inference(transitivity,[status(thm)],[2149, 2147])).
% 11.43/7.71 tff(2151,plain,
% 11.43/7.71 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s6, s7)) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2152,plain,
% 11.43/7.71 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | m_state_v_gob(c_s, s6) | (~m_state_v_gob(c_s, s7)) | (~node73(c_s, s6, s7))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 11.43/7.71 tff(2153,plain,
% 11.43/7.71 (~m_state_v_gob(c_s, s7)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2152, 2139, 2146, 2117])).
% 11.43/7.71 tff(2154,plain,
% 11.43/7.71 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2155,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s7) | (~node96(c_s, s7)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2156,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s7) | (~node96(c_s, s7))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 11.43/7.71 tff(2157,plain,
% 11.43/7.71 (~node96(c_s, s7)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2156, 1201, 2153])).
% 11.43/7.71 tff(2158,assumption,(~m_state_v_tl(c_s, s3)), introduced(assumption)).
% 11.43/7.71 tff(2159,assumption,(node3(c_s, s2, s3)), introduced(assumption)).
% 11.43/7.71 tff(2160,assumption,(~m_state_v_a1ext(c_s, s2, c_retracted)), introduced(assumption)).
% 11.43/7.71 tff(2161,plain,
% 11.43/7.71 (^[X: $i, J0: $i] : refl(((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2162,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2161])).
% 11.43/7.71 tff(2163,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2164,plain,
% 11.43/7.71 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X))) <=> ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted)))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2165,plain,
% 11.43/7.71 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X))) <=> ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2164])).
% 11.43/7.71 tff(2166,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node1(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_3')).
% 11.43/7.71 tff(2167,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 11.43/7.71 tff(2168,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2167, 2163])).
% 11.43/7.71 tff(2169,plain,(
% 11.43/7.71 ![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2168])).
% 11.43/7.71 tff(2170,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2169, 2162])).
% 11.43/7.71 tff(2171,plain,
% 11.43/7.71 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2172,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2173,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s2)) | m_state_v_a1ext(c_s, s2, c_retracted)),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 11.43/7.71 tff(2174,plain,
% 11.43/7.71 (~node1(c_s, s2)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2173, 2170, 2160])).
% 11.43/7.71 tff(2175,plain,
% 11.43/7.71 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2176,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2175])).
% 11.43/7.71 tff(2177,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2178,plain,
% 11.43/7.71 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2179,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2178])).
% 11.43/7.71 tff(2180,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | (~m_FeedBelt_v_s(I0, J0))) | node180(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_24')).
% 11.43/7.71 tff(2181,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 11.43/7.71 tff(2182,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2181, 2177])).
% 11.43/7.71 tff(2183,plain,(
% 11.43/7.71 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2182])).
% 11.43/7.71 tff(2184,plain,
% 11.43/7.71 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2183, 2176])).
% 11.43/7.71 tff(2185,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2186,plain,
% 11.43/7.71 (((~trans(s1, s2)) | node180(c_s, s1, s2) | (~m_FeedBelt_v_s(c_FB, c_s))) <=> ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2187,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s1, s2)) | node180(c_s, s1, s2) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2)))),
% 11.43/7.71 inference(monotonicity,[status(thm)],[2186])).
% 11.43/7.71 tff(2188,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s1, s2)) | node180(c_s, s1, s2) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2))),
% 11.43/7.71 inference(transitivity,[status(thm)],[2187, 2185])).
% 11.43/7.71 tff(2189,plain,
% 11.43/7.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s1, s2)) | node180(c_s, s1, s2) | (~m_FeedBelt_v_s(c_FB, c_s)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2190,plain,
% 11.43/7.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s1, s2)),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 11.43/7.71 tff(2191,plain,
% 11.43/7.71 (node180(c_s, s1, s2)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2190, 1247, 2184, 271])).
% 11.43/7.71 tff(2192,assumption,(m_state_v_deliv(c_s, s0)), introduced(assumption)).
% 11.43/7.71 tff(2193,plain,
% 11.43/7.71 (^[I0: $i] : refl((~m_state_v_deliv(I0, s0)) <=> (~m_state_v_deliv(I0, s0)))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2194,plain,
% 11.43/7.71 (![I0: $i] : (~m_state_v_deliv(I0, s0)) <=> ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2193])).
% 11.43/7.71 tff(2195,plain,
% 11.43/7.71 (![I0: $i] : (~m_state_v_deliv(I0, s0)) <=> ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2196,axiom,(![I0: $i] : (~m_state_v_deliv(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_78')).
% 11.43/7.71 tff(2197,plain,
% 11.43/7.71 (![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 11.43/7.71 tff(2198,plain,(
% 11.43/7.71 ![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2197])).
% 11.43/7.71 tff(2199,plain,
% 11.43/7.71 (![I0: $i] : (~m_state_v_deliv(I0, s0))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2198, 2194])).
% 11.43/7.71 tff(2200,plain,
% 11.43/7.71 ((~![I0: $i] : (~m_state_v_deliv(I0, s0))) | (~m_state_v_deliv(c_s, s0))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2201,plain,
% 11.43/7.71 ($false),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2200, 2199, 2192])).
% 11.43/7.71 tff(2202,plain,(~m_state_v_deliv(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.43/7.71 tff(2203,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2204,plain,
% 11.43/7.71 (((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s))) <=> ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2205,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1)))),
% 11.43/7.71 inference(monotonicity,[status(thm)],[2204])).
% 11.43/7.71 tff(2206,plain,
% 11.43/7.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1))),
% 11.43/7.71 inference(transitivity,[status(thm)],[2205, 2203])).
% 11.43/7.71 tff(2207,plain,
% 11.43/7.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s0, s1)) | node180(c_s, s0, s1) | (~m_FeedBelt_v_s(c_FB, c_s)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2208,plain,
% 11.43/7.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s0, s1)),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 11.43/7.71 tff(2209,plain,
% 11.43/7.71 (node180(c_s, s0, s1)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2208, 1247, 2184, 49])).
% 11.43/7.71 tff(2210,plain,
% 11.43/7.71 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node176(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node176(J0, X))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2211,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2210])).
% 11.43/7.71 tff(2212,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2213,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_8')).
% 11.43/7.71 tff(2214,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 11.43/7.71 tff(2215,plain,(
% 11.43/7.71 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2214])).
% 11.43/7.71 tff(2216,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2215, 2211])).
% 11.43/7.71 tff(2217,plain,
% 11.43/7.71 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node176(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node176(c_s, s0)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2218,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node176(c_s, s0)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2219,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node176(c_s, s0))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 11.43/7.71 tff(2220,plain,
% 11.43/7.71 (~node176(c_s, s0)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2219, 2216, 1294])).
% 11.43/7.71 tff(2221,plain,
% 11.43/7.71 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node177(J0, X))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2222,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2221])).
% 11.43/7.71 tff(2223,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2224,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_13')).
% 11.43/7.71 tff(2225,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2224, 2223])).
% 11.43/7.71 tff(2226,plain,(
% 11.43/7.71 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2225])).
% 11.43/7.71 tff(2227,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2226, 2222])).
% 11.43/7.71 tff(2228,plain,
% 11.43/7.71 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2229,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2230,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s0)) | (~node177(c_s, s0))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 11.43/7.71 tff(2231,plain,
% 11.43/7.71 (~node177(c_s, s0)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2230, 2227, 1294])).
% 11.43/7.71 tff(2232,plain,
% 11.43/7.71 (^[X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2233,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2232])).
% 11.43/7.71 tff(2234,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2235,axiom,(![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_17')).
% 11.43/7.71 tff(2236,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 11.43/7.71 tff(2237,plain,(
% 11.43/7.71 ![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2236])).
% 11.43/7.71 tff(2238,plain,
% 11.43/7.71 (![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2237, 2233])).
% 11.43/7.71 tff(2239,plain,
% 11.43/7.71 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2240,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | ((~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2241,plain,
% 11.43/7.71 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node178(J0, X)))) | (~m_state_v_pfl(c_s, s0)) | (~node178(c_s, s0))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 11.43/7.71 tff(2242,plain,
% 11.43/7.71 (~node178(c_s, s0)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2241, 2238, 1410])).
% 11.43/7.71 tff(2243,plain,
% 11.43/7.71 (^[Y: $i, X: $i, J0: $i] : refl((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2244,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2243])).
% 11.43/7.71 tff(2245,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2246,plain,
% 11.43/7.71 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node176(J0, X) | node177(J0, X)) | node178(J0, X)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X))), ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) <=> ((node176(J0, X) | node177(J0, X) | node178(J0, X)) | node179(J0, X, Y)))), rewrite(((node176(J0, X) | node177(J0, X) | node178(J0, X)) | node179(J0, X, Y)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y))), ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)))), (((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> ((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)) | (~node180(J0, X, Y))))), rewrite(((node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))), (((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2247,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2246])).
% 11.43/7.71 tff(2248,axiom,(![Y: $i, X: $i, J0: $i] : ((((node176(J0, X) | node177(J0, X)) | node178(J0, X)) | node179(J0, X, Y)) | (~node180(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_23')).
% 11.43/7.71 tff(2249,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 11.43/7.71 tff(2250,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2249, 2245])).
% 11.43/7.71 tff(2251,plain,(
% 11.43/7.71 ![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2250])).
% 11.43/7.71 tff(2252,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2251, 2244])).
% 11.43/7.71 tff(2253,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2254,plain,
% 11.43/7.71 ((node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))) <=> (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2255,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))))),
% 11.43/7.71 inference(monotonicity,[status(thm)],[2254])).
% 11.43/7.71 tff(2256,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.43/7.71 inference(transitivity,[status(thm)],[2255, 2253])).
% 11.43/7.71 tff(2257,plain,
% 11.43/7.71 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s0) | node177(c_s, s0) | node178(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1)))),
% 11.43/7.71 inference(quant_inst,[status(thm)],[])).
% 11.43/7.71 tff(2258,plain,
% 11.43/7.71 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s0) | node177(c_s, s0) | node176(c_s, s0) | node179(c_s, s0, s1) | (~node180(c_s, s0, s1))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 11.43/7.71 tff(2259,plain,
% 11.43/7.71 (node179(c_s, s0, s1)),
% 11.43/7.71 inference(unit_resolution,[status(thm)],[2258, 2252, 2242, 2231, 2220, 2209])).
% 11.43/7.71 tff(2260,plain,
% 11.43/7.71 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2261,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2260])).
% 11.43/7.71 tff(2262,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2263,plain,
% 11.43/7.71 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y))) <=> (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y))))),
% 11.43/7.71 inference(bind,[status(th)],[])).
% 11.43/7.71 tff(2264,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(quant_intro,[status(thm)],[2263])).
% 11.43/7.71 tff(2265,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_deliv(J0, Y)) | m_state_v_deliv(J0, X)) | (~node179(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_19')).
% 11.43/7.71 tff(2266,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 11.43/7.71 tff(2267,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2266, 2262])).
% 11.43/7.71 tff(2268,plain,(
% 11.43/7.71 ![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(skolemize,[status(sab)],[2267])).
% 11.43/7.71 tff(2269,plain,
% 11.43/7.71 (![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))),
% 11.43/7.71 inference(modus_ponens,[status(thm)],[2268, 2261])).
% 11.43/7.71 tff(2270,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | ((~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2271,plain,
% 11.43/7.71 ((m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1))) <=> ((~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)))),
% 11.43/7.71 inference(rewrite,[status(thm)],[])).
% 11.43/7.71 tff(2272,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | ((~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1))))),
% 11.43/7.71 inference(monotonicity,[status(thm)],[2271])).
% 11.43/7.71 tff(2273,plain,
% 11.43/7.71 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2272, 2270])).
% 11.43/7.72 tff(2274,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1)) | (~m_state_v_deliv(c_s, s1)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2275,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0) | (~node179(c_s, s0, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 11.43/7.72 tff(2276,plain,
% 11.43/7.72 ((~m_state_v_deliv(c_s, s1)) | m_state_v_deliv(c_s, s0)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2275, 2269, 2259])).
% 11.43/7.72 tff(2277,plain,
% 11.43/7.72 (~m_state_v_deliv(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2276, 2202])).
% 11.43/7.72 tff(2278,plain,
% 11.43/7.72 (^[X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~node178(J0, X))) <=> (m_state_v_deliv(J0, X) | (~node178(J0, X))))),
% 11.43/7.72 inference(bind,[status(th)],[])).
% 11.43/7.72 tff(2279,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))),
% 11.43/7.72 inference(quant_intro,[status(thm)],[2278])).
% 11.43/7.72 tff(2280,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2281,axiom,(![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_16')).
% 11.43/7.72 tff(2282,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 11.43/7.72 tff(2283,plain,(
% 11.43/7.72 ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))),
% 11.43/7.72 inference(skolemize,[status(sab)],[2282])).
% 11.43/7.72 tff(2284,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2283, 2279])).
% 11.43/7.72 tff(2285,plain,
% 11.43/7.72 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node178(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node178(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2286,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node178(c_s, s1)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2287,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node178(c_s, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 11.43/7.72 tff(2288,plain,
% 11.43/7.72 (~node178(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2287, 2284, 2277])).
% 11.43/7.72 tff(2289,plain,
% 11.43/7.72 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node176(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node176(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2290,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node176(c_s, s1)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2291,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node176(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node176(c_s, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 11.43/7.72 tff(2292,plain,
% 11.43/7.72 (~node176(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2291, 2216, 1455])).
% 11.43/7.72 tff(2293,plain,
% 11.43/7.72 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node177(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node177(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2294,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node177(c_s, s1)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2295,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node177(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node177(c_s, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 11.43/7.72 tff(2296,plain,
% 11.43/7.72 (~node177(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2295, 2227, 1455])).
% 11.43/7.72 tff(2297,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2298,plain,
% 11.43/7.72 ((node176(c_s, s1) | node177(c_s, s1) | node178(c_s, s1) | node179(c_s, s1, s2) | (~node180(c_s, s1, s2))) <=> (node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2299,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s1) | node177(c_s, s1) | node178(c_s, s1) | node179(c_s, s1, s2) | (~node180(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2)))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2298])).
% 11.43/7.72 tff(2300,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s1) | node177(c_s, s1) | node178(c_s, s1) | node179(c_s, s1, s2) | (~node180(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2299, 2297])).
% 11.43/7.72 tff(2301,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s1) | node177(c_s, s1) | node178(c_s, s1) | node179(c_s, s1, s2) | (~node180(c_s, s1, s2)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2302,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node178(c_s, s1) | node177(c_s, s1) | node176(c_s, s1) | (~node180(c_s, s1, s2)) | node179(c_s, s1, s2)),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 11.43/7.72 tff(2303,plain,
% 11.43/7.72 (node179(c_s, s1, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2302, 2252, 2296, 2292, 2288, 2191])).
% 11.43/7.72 tff(2304,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2305,plain,
% 11.43/7.72 ((m_state_v_deliv(c_s, s1) | (~node179(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s2))) <=> (m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2306,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s1) | (~node179(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2))))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2305])).
% 11.43/7.72 tff(2307,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s1) | (~node179(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2)))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2306, 2304])).
% 11.43/7.72 tff(2308,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s1) | (~node179(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s2)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2309,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s1) | (~m_state_v_deliv(c_s, s2)) | (~node179(c_s, s1, s2))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 11.43/7.72 tff(2310,plain,
% 11.43/7.72 (~m_state_v_deliv(c_s, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2309, 2269, 2277, 2303])).
% 11.43/7.72 tff(2311,plain,
% 11.43/7.72 (^[X: $i, J0: $i] : refl(((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ((~node2(J0, X)) | m_state_v_deliv(J0, X)))),
% 11.43/7.72 inference(bind,[status(th)],[])).
% 11.43/7.72 tff(2312,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(quant_intro,[status(thm)],[2311])).
% 11.43/7.72 tff(2313,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2314,plain,
% 11.43/7.72 (^[X: $i, J0: $i] : rewrite((m_state_v_deliv(J0, X) | (~node2(J0, X))) <=> ((~node2(J0, X)) | m_state_v_deliv(J0, X)))),
% 11.43/7.72 inference(bind,[status(th)],[])).
% 11.43/7.72 tff(2315,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(quant_intro,[status(thm)],[2314])).
% 11.43/7.72 tff(2316,axiom,(![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node2(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_5')).
% 11.43/7.72 tff(2317,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 11.43/7.72 tff(2318,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2317, 2313])).
% 11.43/7.72 tff(2319,plain,(
% 11.43/7.72 ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(skolemize,[status(sab)],[2318])).
% 11.43/7.72 tff(2320,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2319, 2312])).
% 11.43/7.72 tff(2321,plain,
% 11.43/7.72 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s2)) | m_state_v_deliv(c_s, s2))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s2)) | m_state_v_deliv(c_s, s2))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2322,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s2)) | m_state_v_deliv(c_s, s2))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2323,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s2)) | m_state_v_deliv(c_s, s2)),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 11.43/7.72 tff(2324,plain,
% 11.43/7.72 (~node2(c_s, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2323, 2320, 2310])).
% 11.43/7.72 tff(2325,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2326,plain,
% 11.43/7.72 ((node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3))) <=> ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2327,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3)))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2326])).
% 11.43/7.72 tff(2328,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2327, 2325])).
% 11.43/7.72 tff(2329,plain,
% 11.43/7.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s2, s3) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s2, s3)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2330,plain,
% 11.43/7.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s2, s3)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s2, s3)),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 11.43/7.72 tff(2331,plain,
% 11.43/7.72 (node4(c_s, s2, s3)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2330, 1360, 1357, 480])).
% 11.43/7.72 tff(2332,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2333,plain,
% 11.43/7.72 ((node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3))) <=> (node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2334,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3)))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2333])).
% 11.43/7.72 tff(2335,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2334, 2332])).
% 11.43/7.72 tff(2336,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3) | (~node4(c_s, s2, s3)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2337,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s2) | node2(c_s, s2) | (~node4(c_s, s2, s3)) | node3(c_s, s2, s3)),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 11.43/7.72 tff(2338,plain,
% 11.43/7.72 (node1(c_s, s2) | node2(c_s, s2) | node3(c_s, s2, s3)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2337, 1431, 2331])).
% 11.43/7.72 tff(2339,plain,
% 11.43/7.72 (node1(c_s, s2) | node3(c_s, s2, s3)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2338, 2324])).
% 11.43/7.72 tff(2340,plain,
% 11.43/7.72 (node3(c_s, s2, s3)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2339, 2174])).
% 11.43/7.72 tff(2341,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2342,plain,
% 11.43/7.72 (((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3)) <=> ((~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2343,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3))))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2342])).
% 11.43/7.72 tff(2344,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3)))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2343, 2341])).
% 11.43/7.72 tff(2345,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s2, s3)) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2346,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s2)) | m_state_v_tl(c_s, s3) | (~node3(c_s, s2, s3))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 11.43/7.72 tff(2347,plain,
% 11.43/7.72 (~m_state_v_tl(c_s, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2346, 1448, 2158, 2340])).
% 11.43/7.72 tff(2348,assumption,(~m_state_v_tl(c_s, s2)), introduced(assumption)).
% 11.43/7.72 tff(2349,assumption,(node3(c_s, s1, s2)), introduced(assumption)).
% 11.43/7.72 tff(2350,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2351,plain,
% 11.43/7.72 (((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2)) <=> (m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2352,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1))))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2351])).
% 11.43/7.72 tff(2353,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2352, 2350])).
% 11.43/7.72 tff(2354,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1)) | m_state_v_tl(c_s, s2))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2355,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s2) | (~node3(c_s, s1, s2)) | (~m_state_v_tl(c_s, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 11.43/7.72 tff(2356,plain,
% 11.43/7.72 ($false),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2355, 1448, 2349, 2348, 1455])).
% 11.43/7.72 tff(2357,plain,((~node3(c_s, s1, s2)) | m_state_v_tl(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 11.43/7.72 tff(2358,plain,
% 11.43/7.72 (~node3(c_s, s1, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2357, 2348])).
% 11.43/7.72 tff(2359,assumption,(~node1(c_s, s1)), introduced(assumption)).
% 11.43/7.72 tff(2360,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2361,plain,
% 11.43/7.72 ((node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2))) <=> ((~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2362,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s))))),
% 11.43/7.72 inference(monotonicity,[status(thm)],[2361])).
% 11.43/7.72 tff(2363,plain,
% 11.43/7.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)))),
% 11.43/7.72 inference(transitivity,[status(thm)],[2362, 2360])).
% 11.43/7.72 tff(2364,plain,
% 11.43/7.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s1, s2)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2365,plain,
% 11.43/7.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s1, s2)) | node4(c_s, s1, s2) | (~m_Communication_v_s(c_COM, c_s))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 11.43/7.72 tff(2366,plain,
% 11.43/7.72 (node4(c_s, s1, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2365, 1360, 1357, 271])).
% 11.43/7.72 tff(2367,plain,
% 11.43/7.72 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2368,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2369,plain,
% 11.43/7.72 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2) | (~node4(c_s, s1, s2))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 11.43/7.72 tff(2370,plain,
% 11.43/7.72 (node1(c_s, s1) | node2(c_s, s1) | node3(c_s, s1, s2)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2369, 1431, 2366])).
% 11.43/7.72 tff(2371,plain,
% 11.43/7.72 (node2(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2370, 2359, 2358])).
% 11.43/7.72 tff(2372,plain,
% 11.43/7.72 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s1)) | (~node2(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s1)) | (~node2(c_s, s1)))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2373,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s1)) | (~node2(c_s, s1)))),
% 11.43/7.72 inference(quant_inst,[status(thm)],[])).
% 11.43/7.72 tff(2374,plain,
% 11.43/7.72 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s1)) | (~node2(c_s, s1))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 11.43/7.72 tff(2375,plain,
% 11.43/7.72 (~m_state_v_pfl(c_s, s1)),
% 11.43/7.72 inference(unit_resolution,[status(thm)],[2374, 1417, 2371])).
% 11.43/7.72 tff(2376,plain,
% 11.43/7.72 (^[X: $i, J0: $i] : refl(((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.72 inference(bind,[status(th)],[])).
% 11.43/7.72 tff(2377,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.72 inference(quant_intro,[status(thm)],[2376])).
% 11.43/7.72 tff(2378,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.72 inference(rewrite,[status(thm)],[])).
% 11.43/7.72 tff(2379,plain,
% 11.43/7.72 (^[X: $i, J0: $i] : rewrite((m_state_v_FBM(J0, X, c_on) | (~node2(J0, X))) <=> ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.72 inference(bind,[status(th)],[])).
% 11.43/7.72 tff(2380,plain,
% 11.43/7.72 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node2(J0, X))) <=> ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.72 inference(quant_intro,[status(thm)],[2379])).
% 11.43/7.72 tff(2381,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node2(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_4')).
% 11.43/7.72 tff(2382,plain,
% 11.43/7.72 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.72 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 11.43/7.73 tff(2383,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2382, 2378])).
% 11.43/7.73 tff(2384,plain,(
% 11.43/7.73 ![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2383])).
% 11.43/7.73 tff(2385,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2384, 2377])).
% 11.43/7.73 tff(2386,plain,
% 11.43/7.73 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s1)) | m_state_v_FBM(c_s, s1, c_on))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s1)) | m_state_v_FBM(c_s, s1, c_on))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2387,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | ((~node2(c_s, s1)) | m_state_v_FBM(c_s, s1, c_on))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2388,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_FBM(J0, X, c_on))) | (~node2(c_s, s1)) | m_state_v_FBM(c_s, s1, c_on)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 11.43/7.73 tff(2389,plain,
% 11.43/7.73 (m_state_v_FBM(c_s, s1, c_on)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2388, 2385, 2371])).
% 11.43/7.73 tff(2390,plain,
% 11.43/7.73 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2391,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s1)) | m_state_v_deliv(c_s, s1))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2392,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s1)) | m_state_v_deliv(c_s, s1)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2391, 2390])).
% 11.43/7.73 tff(2393,plain,
% 11.43/7.73 (m_state_v_deliv(c_s, s1)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2392, 2320, 2371])).
% 11.43/7.73 tff(2394,plain,
% 11.43/7.73 (^[Y: $i, X: $i, J0: $i] : refl((node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2395,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2394])).
% 11.43/7.73 tff(2396,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2397,plain,
% 11.43/7.73 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) <=> (node1(J0, X) | (~m_state_v_FBM(J0, X, c_on)))), (((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) <=> ((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))))), rewrite(((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) <=> (node1(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))), (((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) <=> (node1(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))))), ((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) <=> ((node1(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_pfl(J0, X)))), rewrite(((node1(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_pfl(J0, X)) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))), ((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))))), (((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) <=> ((node1(J0, X) | m_state_v_pfl(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_tl(J0, Y)))), rewrite(((node1(J0, X) | m_state_v_pfl(J0, X) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | m_state_v_tl(J0, Y)) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))), (((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))))), ((((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) | (~node4(J0, X, Y))) <=> ((node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | (~node4(J0, X, Y))))), rewrite(((node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on))) | (~node4(J0, X, Y))) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))), ((((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) | (~node4(J0, X, Y))) <=> (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2398,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2397])).
% 11.43/7.73 tff(2399,axiom,(![Y: $i, X: $i, J0: $i] : (((((node1(J0, X) | (~m_state_v_FBM(J0, X, c_on))) | (~m_state_v_deliv(J0, X))) | m_state_v_pfl(J0, X)) | m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_10')).
% 11.43/7.73 tff(2400,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2399, 2398])).
% 11.43/7.73 tff(2401,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2400, 2396])).
% 11.43/7.73 tff(2402,plain,(
% 11.43/7.73 ![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2401])).
% 11.43/7.73 tff(2403,plain,
% 11.43/7.73 (![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2402, 2395])).
% 11.43/7.73 tff(2404,plain,
% 11.43/7.73 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | (node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2405,plain,
% 11.43/7.73 ((node1(c_s, s1) | m_state_v_pfl(c_s, s1) | m_state_v_tl(c_s, s2) | (~node4(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s1)) | (~m_state_v_FBM(c_s, s1, c_on))) <=> (node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2406,plain,
% 11.43/7.73 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | (node1(c_s, s1) | m_state_v_pfl(c_s, s1) | m_state_v_tl(c_s, s2) | (~node4(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s1)) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | (node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1))))),
% 11.43/7.73 inference(monotonicity,[status(thm)],[2405])).
% 11.43/7.73 tff(2407,plain,
% 11.43/7.73 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | (node1(c_s, s1) | m_state_v_pfl(c_s, s1) | m_state_v_tl(c_s, s2) | (~node4(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s1)) | (~m_state_v_FBM(c_s, s1, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1)))),
% 11.43/7.73 inference(transitivity,[status(thm)],[2406, 2404])).
% 11.43/7.73 tff(2408,plain,
% 11.43/7.73 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | (node1(c_s, s1) | m_state_v_pfl(c_s, s1) | m_state_v_tl(c_s, s2) | (~node4(c_s, s1, s2)) | (~m_state_v_deliv(c_s, s1)) | (~m_state_v_FBM(c_s, s1, c_on)))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2409,plain,
% 11.43/7.73 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | m_state_v_pfl(J0, X) | m_state_v_tl(J0, Y) | (~node4(J0, X, Y)) | (~m_state_v_deliv(J0, X)) | (~m_state_v_FBM(J0, X, c_on)))) | node1(c_s, s1) | (~node4(c_s, s1, s2)) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 11.43/7.73 tff(2410,plain,
% 11.43/7.73 (node1(c_s, s1) | m_state_v_tl(c_s, s2) | m_state_v_pfl(c_s, s1) | (~m_state_v_FBM(c_s, s1, c_on)) | (~m_state_v_deliv(c_s, s1))),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2409, 2403, 2366])).
% 11.43/7.73 tff(2411,plain,
% 11.43/7.73 ($false),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2410, 2393, 2389, 2359, 2348, 2375])).
% 11.43/7.73 tff(2412,plain,(node1(c_s, s1) | m_state_v_tl(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 11.43/7.73 tff(2413,plain,
% 11.43/7.73 (node1(c_s, s1)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2412, 2347])).
% 11.43/7.73 tff(2414,plain,
% 11.43/7.73 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2415,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2416,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s1)) | m_state_v_A1M(c_s, s1, c_retract)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 11.43/7.73 tff(2417,plain,
% 11.43/7.73 (m_state_v_A1M(c_s, s1, c_retract)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2416, 1397, 2413])).
% 11.43/7.73 tff(2418,plain,
% 11.43/7.73 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2419,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2418])).
% 11.43/7.73 tff(2420,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2421,plain,
% 11.43/7.73 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))), (((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2422,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2421])).
% 11.43/7.73 tff(2423,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node42(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_77')).
% 11.43/7.73 tff(2424,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 11.43/7.73 tff(2425,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2424, 2420])).
% 11.43/7.73 tff(2426,plain,(
% 11.43/7.73 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2425])).
% 11.43/7.73 tff(2427,plain,
% 11.43/7.73 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2426, 2419])).
% 11.43/7.73 tff(2428,plain,
% 11.43/7.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2429,plain,
% 11.43/7.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2430,plain,
% 11.43/7.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s0, s1)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 11.43/7.73 tff(2431,plain,
% 11.43/7.73 (node42(c_s, s0, s1)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2430, 62, 2427, 49])).
% 11.43/7.73 tff(2432,plain,
% 11.43/7.73 (^[I0: $i] : refl(m_state_v_RRM(I0, s0, c_idle) <=> m_state_v_RRM(I0, s0, c_idle))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2433,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2432])).
% 11.43/7.73 tff(2434,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2435,axiom,(![I0: $i] : m_state_v_RRM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_92')).
% 11.43/7.73 tff(2436,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 11.43/7.73 tff(2437,plain,(
% 11.43/7.73 ![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.43/7.73 inference(skolemize,[status(sab)],[2436])).
% 11.43/7.73 tff(2438,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_RRM(I0, s0, c_idle)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2437, 2433])).
% 11.43/7.73 tff(2439,plain,
% 11.43/7.73 ((~![I0: $i] : m_state_v_RRM(I0, s0, c_idle)) | m_state_v_RRM(c_s, s0, c_idle)),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2440,plain,
% 11.43/7.73 (m_state_v_RRM(c_s, s0, c_idle)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2439, 2438])).
% 11.43/7.73 tff(2441,plain,
% 11.43/7.73 (^[I0: $i, X: $i] : refl(((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2442,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2441])).
% 11.43/7.73 tff(2443,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2444,axiom,(![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_34')).
% 11.43/7.73 tff(2445,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 11.43/7.73 tff(2446,plain,(
% 11.43/7.73 ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2445])).
% 11.43/7.73 tff(2447,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2446, 2442])).
% 11.43/7.73 tff(2448,plain,
% 11.43/7.73 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2449,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2450,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_counterclock)) | (~m_state_v_RRM(c_s, s0, c_idle))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 11.43/7.73 tff(2451,plain,
% 11.43/7.73 (~m_state_v_RRM(c_s, s0, c_counterclock)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2450, 2447, 2440])).
% 11.43/7.73 tff(2452,plain,
% 11.43/7.73 (^[X: $i, J0: $i] : refl(((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2453,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2452])).
% 11.43/7.73 tff(2454,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2455,plain,
% 11.43/7.73 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X))) <=> ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock)))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2456,plain,
% 11.43/7.73 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X))) <=> ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2455])).
% 11.43/7.73 tff(2457,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node37(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_59')).
% 11.43/7.73 tff(2458,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 11.43/7.73 tff(2459,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2458, 2454])).
% 11.43/7.73 tff(2460,plain,(
% 11.43/7.73 ![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2459])).
% 11.43/7.73 tff(2461,plain,
% 11.43/7.73 (![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2460, 2453])).
% 11.43/7.73 tff(2462,plain,
% 11.43/7.73 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2463,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2464,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s0)) | m_state_v_RRM(c_s, s0, c_counterclock)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 11.43/7.73 tff(2465,plain,
% 11.43/7.73 (~node37(c_s, s0)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2464, 2461, 2451])).
% 11.43/7.73 tff(2466,plain,
% 11.43/7.73 (^[I0: $i] : refl(m_state_v_angle(I0, s0, c_arm1totable) <=> m_state_v_angle(I0, s0, c_arm1totable))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2467,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable) <=> ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2466])).
% 11.43/7.73 tff(2468,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable) <=> ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2469,axiom,(![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_88')).
% 11.43/7.73 tff(2470,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 11.43/7.73 tff(2471,plain,(
% 11.43/7.73 ![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.43/7.73 inference(skolemize,[status(sab)],[2470])).
% 11.43/7.73 tff(2472,plain,
% 11.43/7.73 (![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2471, 2467])).
% 11.43/7.73 tff(2473,plain,
% 11.43/7.73 ((~![I0: $i] : m_state_v_angle(I0, s0, c_arm1totable)) | m_state_v_angle(c_s, s0, c_arm1totable)),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2474,plain,
% 11.43/7.73 (m_state_v_angle(c_s, s0, c_arm1totable)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2473, 2472])).
% 11.43/7.73 tff(2475,plain,
% 11.43/7.73 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2476,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2475])).
% 11.43/7.73 tff(2477,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2478,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_52')).
% 11.43/7.73 tff(2479,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2478, 2477])).
% 11.43/7.73 tff(2480,plain,(
% 11.43/7.73 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2479])).
% 11.43/7.73 tff(2481,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2480, 2476])).
% 11.43/7.73 tff(2482,plain,
% 11.43/7.73 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2483,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress)))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2484,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2topress))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 11.43/7.73 tff(2485,plain,
% 11.43/7.73 (~m_state_v_angle(c_s, s0, c_arm2topress)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2484, 2481, 2474])).
% 11.43/7.73 tff(2486,plain,
% 11.43/7.73 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2487,plain,
% 11.43/7.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2486])).
% 11.43/7.73 tff(2488,plain,
% 11.43/7.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2489,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_61')).
% 11.43/7.73 tff(2490,plain,
% 11.43/7.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 11.43/7.73 tff(2491,plain,(
% 11.43/7.73 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2490])).
% 11.43/7.73 tff(2492,plain,
% 11.43/7.73 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2491, 2487])).
% 11.43/7.73 tff(2493,plain,
% 11.43/7.73 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2494,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0)))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2495,plain,
% 11.43/7.73 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node38(c_s, s0))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 11.43/7.73 tff(2496,plain,
% 11.43/7.73 (~node38(c_s, s0)),
% 11.43/7.73 inference(unit_resolution,[status(thm)],[2495, 2492, 2485])).
% 11.43/7.73 tff(2497,plain,
% 11.43/7.73 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))))),
% 11.43/7.73 inference(bind,[status(th)],[])).
% 11.43/7.73 tff(2498,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.43/7.73 inference(quant_intro,[status(thm)],[2497])).
% 11.43/7.73 tff(2499,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2500,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_53')).
% 11.43/7.73 tff(2501,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 11.43/7.73 tff(2502,plain,(
% 11.43/7.73 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.43/7.73 inference(skolemize,[status(sab)],[2501])).
% 11.43/7.73 tff(2503,plain,
% 11.43/7.73 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2502, 2498])).
% 11.43/7.73 tff(2504,plain,
% 11.43/7.73 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))),
% 11.43/7.73 inference(rewrite,[status(thm)],[])).
% 11.43/7.73 tff(2505,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt)))),
% 11.43/7.73 inference(quant_inst,[status(thm)],[])).
% 11.43/7.73 tff(2506,plain,
% 11.43/7.73 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm2todepbelt))),
% 11.43/7.73 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 11.43/7.73 tff(2507,plain,
% 11.43/7.73 (~m_state_v_angle(c_s, s0, c_arm2todepbelt)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2506, 2503, 2474])).
% 11.43/7.74 tff(2508,plain,
% 11.43/7.74 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2509,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2508])).
% 11.43/7.74 tff(2510,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2511,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_64')).
% 11.43/7.74 tff(2512,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 11.43/7.74 tff(2513,plain,(
% 11.43/7.74 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2512])).
% 11.43/7.74 tff(2514,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2513, 2509])).
% 11.43/7.74 tff(2515,plain,
% 11.43/7.74 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2516,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0)))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2517,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node39(c_s, s0))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 11.43/7.74 tff(2518,plain,
% 11.43/7.74 (~node39(c_s, s0)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2517, 2514, 2507])).
% 11.43/7.74 tff(2519,plain,
% 11.43/7.74 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2520,plain,
% 11.43/7.74 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2519])).
% 11.43/7.74 tff(2521,plain,
% 11.43/7.74 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2522,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_54')).
% 11.43/7.74 tff(2523,plain,
% 11.43/7.74 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 11.43/7.74 tff(2524,plain,(
% 11.43/7.74 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2523])).
% 11.43/7.74 tff(2525,plain,
% 11.43/7.74 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2524, 2520])).
% 11.43/7.74 tff(2526,plain,
% 11.43/7.74 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2527,plain,
% 11.43/7.74 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress)))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2528,plain,
% 11.43/7.74 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_angle(c_s, s0, c_arm1topress))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 11.43/7.74 tff(2529,plain,
% 11.43/7.74 (~m_state_v_angle(c_s, s0, c_arm1topress)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2528, 2525, 2474])).
% 11.43/7.74 tff(2530,plain,
% 11.43/7.74 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2531,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2530])).
% 11.43/7.74 tff(2532,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2533,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_67')).
% 11.43/7.74 tff(2534,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 11.43/7.74 tff(2535,plain,(
% 11.43/7.74 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2534])).
% 11.43/7.74 tff(2536,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2535, 2531])).
% 11.43/7.74 tff(2537,plain,
% 11.43/7.74 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2538,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0)))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2539,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node40(c_s, s0))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 11.43/7.74 tff(2540,plain,
% 11.43/7.74 (~node40(c_s, s0)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2539, 2536, 2529])).
% 11.43/7.74 tff(2541,plain,
% 11.43/7.74 (^[Y: $i, X: $i, J0: $i] : refl((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2542,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2541])).
% 11.43/7.74 tff(2543,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2544,plain,
% 11.43/7.74 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node37(J0, X) | node38(J0, X)) | node39(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X))), ((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X)) | node40(J0, X)))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X)) | node40(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X))), ((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)))), (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)) | node41(J0, X, Y)))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X)) | node41(J0, X, Y)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y))), (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)))), ((((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> ((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)) | (~node42(J0, X, Y))))), rewrite(((node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))), ((((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2545,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2544])).
% 11.43/7.74 tff(2546,axiom,(![Y: $i, X: $i, J0: $i] : (((((node37(J0, X) | node38(J0, X)) | node39(J0, X)) | node40(J0, X)) | node41(J0, X, Y)) | (~node42(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_76')).
% 11.43/7.74 tff(2547,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 11.43/7.74 tff(2548,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2547, 2543])).
% 11.43/7.74 tff(2549,plain,(
% 11.43/7.74 ![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2548])).
% 11.43/7.74 tff(2550,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2549, 2542])).
% 11.43/7.74 tff(2551,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2552,plain,
% 11.43/7.74 ((node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))) <=> (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2553,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))))),
% 11.43/7.74 inference(monotonicity,[status(thm)],[2552])).
% 11.43/7.74 tff(2554,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.43/7.74 inference(transitivity,[status(thm)],[2553, 2551])).
% 11.43/7.74 tff(2555,plain,
% 11.43/7.74 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s0) | node38(c_s, s0) | node39(c_s, s0) | node40(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1)))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2556,plain,
% 11.43/7.74 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s0) | node39(c_s, s0) | node38(c_s, s0) | node37(c_s, s0) | node41(c_s, s0, s1) | (~node42(c_s, s0, s1))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 11.43/7.74 tff(2557,plain,
% 11.43/7.74 (node41(c_s, s0, s1)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2556, 2550, 2540, 2518, 2496, 2465, 2431])).
% 11.43/7.74 tff(2558,plain,
% 11.43/7.74 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2559,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2558])).
% 11.43/7.74 tff(2560,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2561,plain,
% 11.43/7.74 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2562,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2561])).
% 11.43/7.74 tff(2563,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_angle(J0, Y, V)) | m_state_v_angle(J0, X, V)) | (~node41(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_71')).
% 11.43/7.74 tff(2564,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2563, 2562])).
% 11.43/7.74 tff(2565,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2564, 2560])).
% 11.43/7.74 tff(2566,plain,(
% 11.43/7.74 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2565])).
% 11.43/7.74 tff(2567,plain,
% 11.43/7.74 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2566, 2559])).
% 11.43/7.74 tff(2568,plain,
% 11.43/7.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2569,plain,
% 11.43/7.74 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress))) <=> (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2570,plain,
% 11.43/7.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1))))),
% 11.43/7.74 inference(monotonicity,[status(thm)],[2569])).
% 11.43/7.74 tff(2571,plain,
% 11.43/7.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1)))),
% 11.43/7.74 inference(transitivity,[status(thm)],[2570, 2568])).
% 11.43/7.74 tff(2572,plain,
% 11.43/7.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2573,plain,
% 11.43/7.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~m_state_v_angle(c_s, s1, c_arm1topress)) | (~node41(c_s, s0, s1))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 11.43/7.74 tff(2574,plain,
% 11.43/7.74 (~m_state_v_angle(c_s, s1, c_arm1topress)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2573, 2567, 2529, 2557])).
% 11.43/7.74 tff(2575,plain,
% 11.43/7.74 (^[X: $i, J0: $i] : refl(((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2576,plain,
% 11.43/7.74 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2575])).
% 11.43/7.74 tff(2577,plain,
% 11.43/7.74 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2578,plain,
% 11.43/7.74 (^[X: $i, J0: $i] : rewrite((m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X))) <=> ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress)))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2579,plain,
% 11.43/7.74 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2578])).
% 11.43/7.74 tff(2580,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node30(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_39')).
% 11.43/7.74 tff(2581,plain,
% 11.43/7.74 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 11.43/7.74 tff(2582,plain,
% 11.43/7.74 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2581, 2577])).
% 11.43/7.74 tff(2583,plain,(
% 11.43/7.74 ![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2582])).
% 11.43/7.74 tff(2584,plain,
% 11.43/7.74 (![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2583, 2576])).
% 11.43/7.74 tff(2585,plain,
% 11.43/7.74 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2586,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2587,plain,
% 11.43/7.74 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm1topress)),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2586, 2585])).
% 11.43/7.74 tff(2588,plain,
% 11.43/7.74 (~node30(c_s, s1)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2587, 2584, 2574])).
% 11.43/7.74 tff(2589,plain,
% 11.43/7.74 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2590,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2589])).
% 11.43/7.74 tff(2591,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2592,plain,
% 11.43/7.74 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2593,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2592])).
% 11.43/7.74 tff(2594,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node32(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_46')).
% 11.43/7.74 tff(2595,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2594, 2593])).
% 11.43/7.74 tff(2596,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2595, 2591])).
% 11.43/7.74 tff(2597,plain,(
% 11.43/7.74 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2596])).
% 11.43/7.74 tff(2598,plain,
% 11.43/7.74 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2597, 2590])).
% 11.43/7.74 tff(2599,plain,
% 11.43/7.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2600,plain,
% 11.43/7.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2))),
% 11.43/7.74 inference(quant_inst,[status(thm)],[])).
% 11.43/7.74 tff(2601,plain,
% 11.43/7.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s1, s2)),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 11.43/7.74 tff(2602,plain,
% 11.43/7.74 (node32(c_s, s1, s2)),
% 11.43/7.74 inference(unit_resolution,[status(thm)],[2601, 62, 2598, 271])).
% 11.43/7.74 tff(2603,plain,
% 11.43/7.74 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2604,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2603])).
% 11.43/7.74 tff(2605,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2606,plain,
% 11.43/7.74 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X))), ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) <=> (((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X)) | m_state_v_a1ext(J0, Y, c_retracted)))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X)) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted))), ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)))), (((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))), (((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))))),
% 11.43/7.74 inference(bind,[status(th)],[])).
% 11.43/7.74 tff(2607,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(quant_intro,[status(thm)],[2606])).
% 11.43/7.74 tff(2608,axiom,(![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) | m_state_v_a1ext(J0, Y, c_retracted)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_44')).
% 11.43/7.74 tff(2609,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 11.43/7.74 tff(2610,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2609, 2605])).
% 11.43/7.74 tff(2611,plain,(
% 11.43/7.74 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(skolemize,[status(sab)],[2610])).
% 11.43/7.74 tff(2612,plain,
% 11.43/7.74 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))),
% 11.43/7.74 inference(modus_ponens,[status(thm)],[2611, 2604])).
% 11.43/7.74 tff(2613,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2614,plain,
% 11.43/7.74 (((~m_state_v_A1M(c_s, s1, c_retract)) | node29(c_s, s1) | node30(c_s, s1) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_retracted)) <=> ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1))),
% 11.43/7.74 inference(rewrite,[status(thm)],[])).
% 11.43/7.74 tff(2615,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | node29(c_s, s1) | node30(c_s, s1) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1)))),
% 11.43/7.74 inference(monotonicity,[status(thm)],[2614])).
% 11.43/7.74 tff(2616,plain,
% 11.43/7.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | node29(c_s, s1) | node30(c_s, s1) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1))),
% 11.43/7.74 inference(transitivity,[status(thm)],[2615, 2613])).
% 11.43/7.74 tff(2617,plain,
% 11.43/7.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | node29(c_s, s1) | node30(c_s, s1) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2618,plain,
% 11.43/7.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node32(c_s, s1, s2)) | node30(c_s, s1) | node29(c_s, s1)),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 11.43/7.75 tff(2619,plain,
% 11.43/7.75 ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | node30(c_s, s1) | node29(c_s, s1)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2618, 2612, 2602])).
% 11.43/7.75 tff(2620,plain,
% 11.43/7.75 ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_a1ext(c_s, s2, c_retracted) | node29(c_s, s1)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2619, 2588])).
% 11.43/7.75 tff(2621,plain,
% 11.43/7.75 (node29(c_s, s1)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2620, 2417, 2160])).
% 11.43/7.75 tff(2622,plain,
% 11.43/7.75 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2623,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2622])).
% 11.43/7.75 tff(2624,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2625,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_36')).
% 11.43/7.75 tff(2626,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 11.43/7.75 tff(2627,plain,(
% 11.43/7.75 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2626])).
% 11.43/7.75 tff(2628,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2627, 2623])).
% 11.43/7.75 tff(2629,plain,
% 11.43/7.75 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2630,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2631,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s1, c_extend) | (~node29(c_s, s1))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 11.43/7.75 tff(2632,plain,
% 11.43/7.75 (m_state_v_A1M(c_s, s1, c_extend)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2631, 2628, 2621])).
% 11.43/7.75 tff(2633,plain,
% 11.43/7.75 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2634,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2633])).
% 11.43/7.75 tff(2635,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2636,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_2')).
% 11.43/7.75 tff(2637,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 11.43/7.75 tff(2638,plain,(
% 11.43/7.75 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2637])).
% 11.43/7.75 tff(2639,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2638, 2634])).
% 11.43/7.75 tff(2640,plain,
% 11.43/7.75 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s1, c_extend)) | (~m_state_v_A1M(c_s, s1, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~m_state_v_A1M(c_s, s1, c_retract)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2641,plain,
% 11.43/7.75 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s1, c_extend)) | (~m_state_v_A1M(c_s, s1, c_retract)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2642,plain,
% 11.43/7.75 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~m_state_v_A1M(c_s, s1, c_retract))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2641, 2640])).
% 11.43/7.75 tff(2643,plain,
% 11.43/7.75 ($false),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2642, 2639, 2417, 2632])).
% 11.43/7.75 tff(2644,plain,(m_state_v_a1ext(c_s, s2, c_retracted) | m_state_v_tl(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 11.43/7.75 tff(2645,plain,
% 11.43/7.75 (m_state_v_a1ext(c_s, s2, c_retracted)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2644, 2158])).
% 11.43/7.75 tff(2646,plain,
% 11.43/7.75 (^[I0: $i, X: $i] : refl(((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2647,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2646])).
% 11.43/7.75 tff(2648,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2649,axiom,(![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_46')).
% 11.43/7.75 tff(2650,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 11.43/7.75 tff(2651,plain,(
% 11.43/7.75 ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2650])).
% 11.43/7.75 tff(2652,plain,
% 11.43/7.75 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2651, 2647])).
% 11.43/7.75 tff(2653,plain,
% 11.43/7.75 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s2, c_ot)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2654,plain,
% 11.43/7.75 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s2, c_ot)) | (~m_state_v_a1ext(c_s, s2, c_retracted)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2655,plain,
% 11.43/7.75 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2654, 2653])).
% 11.43/7.75 tff(2656,plain,
% 11.43/7.75 (~m_state_v_a1ext(c_s, s2, c_ot)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2655, 2652, 2645])).
% 11.43/7.75 tff(2657,plain,
% 11.43/7.75 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2658,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2657])).
% 11.43/7.75 tff(2659,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2660,plain,
% 11.43/7.75 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) <=> ((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))), (((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) | (~node41(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V)) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))), (((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2661,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2660])).
% 11.43/7.75 tff(2662,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_angle(J0, Y, V) | (~m_state_v_angle(J0, X, V))) | (~node41(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_70')).
% 11.43/7.75 tff(2663,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 11.43/7.75 tff(2664,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2663, 2659])).
% 11.43/7.75 tff(2665,plain,(
% 11.43/7.75 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2664])).
% 11.43/7.75 tff(2666,plain,
% 11.43/7.75 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2665, 2658])).
% 11.43/7.75 tff(2667,plain,
% 11.43/7.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2668,plain,
% 11.43/7.75 (((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable)) <=> (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2669,plain,
% 11.43/7.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1))))),
% 11.43/7.75 inference(monotonicity,[status(thm)],[2668])).
% 11.43/7.75 tff(2670,plain,
% 11.43/7.75 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1)))),
% 11.43/7.75 inference(transitivity,[status(thm)],[2669, 2667])).
% 11.43/7.75 tff(2671,plain,
% 11.43/7.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s0, s1)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | m_state_v_angle(c_s, s1, c_arm1totable))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2672,plain,
% 11.43/7.75 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s1, c_arm1totable) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~node41(c_s, s0, s1))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 11.43/7.75 tff(2673,plain,
% 11.43/7.75 (m_state_v_angle(c_s, s1, c_arm1totable)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2672, 2666, 2474, 2557])).
% 11.43/7.75 tff(2674,plain,
% 11.43/7.75 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2675,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2674])).
% 11.43/7.75 tff(2676,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2677,plain,
% 11.43/7.75 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))), (((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) | (~node32(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend))) | (~node32(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))), (((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2678,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2677])).
% 11.43/7.75 tff(2679,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_a1ext(J0, Y, c_ot)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_42')).
% 11.43/7.75 tff(2680,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 11.43/7.75 tff(2681,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2680, 2676])).
% 11.43/7.75 tff(2682,plain,(
% 11.43/7.75 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2681])).
% 11.43/7.75 tff(2683,plain,
% 11.43/7.75 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2682, 2675])).
% 11.43/7.75 tff(2684,plain,
% 11.43/7.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2685,plain,
% 11.43/7.75 (((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend))) <=> ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2686,plain,
% 11.43/7.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2))))),
% 11.43/7.75 inference(monotonicity,[status(thm)],[2685])).
% 11.43/7.75 tff(2687,plain,
% 11.43/7.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2)))),
% 11.43/7.75 inference(transitivity,[status(thm)],[2686, 2684])).
% 11.43/7.75 tff(2688,plain,
% 11.43/7.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node32(c_s, s1, s2)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2689,plain,
% 11.43/7.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node32(c_s, s1, s2))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 11.43/7.75 tff(2690,plain,
% 11.43/7.75 ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend))),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2689, 2683, 2602])).
% 11.43/7.75 tff(2691,plain,
% 11.43/7.75 (m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_A1M(c_s, s1, c_extend))),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2690, 2673])).
% 11.43/7.75 tff(2692,plain,
% 11.43/7.75 (~m_state_v_A1M(c_s, s1, c_extend)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2691, 2656])).
% 11.43/7.75 tff(2693,assumption,(~m_state_v_A1M(c_s, s1, c_extend)), introduced(assumption)).
% 11.43/7.75 tff(2694,assumption,(node122(c_s, s0)), introduced(assumption)).
% 11.43/7.75 tff(2695,plain,
% 11.43/7.75 (^[X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> (m_state_v_maxRot(J0, X) | (~node122(J0, X))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2696,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2695])).
% 11.43/7.75 tff(2697,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2698,axiom,(![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_10')).
% 11.43/7.75 tff(2699,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 11.43/7.75 tff(2700,plain,(
% 11.43/7.75 ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2699])).
% 11.43/7.75 tff(2701,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2700, 2696])).
% 11.43/7.75 tff(2702,plain,
% 11.43/7.75 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2703,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2704,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s0) | (~node122(c_s, s0))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 11.43/7.75 tff(2705,plain,
% 11.43/7.75 (m_state_v_maxRot(c_s, s0)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2704, 2701, 2694])).
% 11.43/7.75 tff(2706,plain,
% 11.43/7.75 (^[X: $i, J0: $i] : refl((m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> (m_state_v_topPos(J0, X) | (~node122(J0, X))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2707,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2706])).
% 11.43/7.75 tff(2708,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2709,axiom,(![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_9')).
% 11.43/7.75 tff(2710,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 11.43/7.75 tff(2711,plain,(
% 11.43/7.75 ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(skolemize,[status(sab)],[2710])).
% 11.43/7.75 tff(2712,plain,
% 11.43/7.75 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2711, 2707])).
% 11.43/7.75 tff(2713,plain,
% 11.43/7.75 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s0) | (~node122(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | m_state_v_topPos(c_s, s0) | (~node122(c_s, s0)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2714,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s0) | (~node122(c_s, s0)))),
% 11.43/7.75 inference(quant_inst,[status(thm)],[])).
% 11.43/7.75 tff(2715,plain,
% 11.43/7.75 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | m_state_v_topPos(c_s, s0) | (~node122(c_s, s0))),
% 11.43/7.75 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 11.43/7.75 tff(2716,plain,
% 11.43/7.75 (m_state_v_topPos(c_s, s0)),
% 11.43/7.75 inference(unit_resolution,[status(thm)],[2715, 2712, 2694])).
% 11.43/7.75 tff(2717,plain,
% 11.43/7.75 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))))),
% 11.43/7.75 inference(bind,[status(th)],[])).
% 11.43/7.75 tff(2718,plain,
% 11.43/7.75 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.75 inference(quant_intro,[status(thm)],[2717])).
% 11.43/7.75 tff(2719,plain,
% 11.43/7.75 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.75 inference(rewrite,[status(thm)],[])).
% 11.43/7.75 tff(2720,plain,
% 11.43/7.75 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2721,plain,
% 11.43/7.76 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2720])).
% 11.43/7.76 tff(2722,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node131(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_54')).
% 11.43/7.76 tff(2723,plain,
% 11.43/7.76 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 11.43/7.76 tff(2724,plain,
% 11.43/7.76 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2723, 2719])).
% 11.43/7.76 tff(2725,plain,(
% 11.43/7.76 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.76 inference(skolemize,[status(sab)],[2724])).
% 11.43/7.76 tff(2726,plain,
% 11.43/7.76 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2725, 2718])).
% 11.43/7.76 tff(2727,plain,
% 11.43/7.76 (m_Robot_v_s(c_RB, c_s) <=> m_Robot_v_s(c_RB, c_s)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2728,axiom,(m_Robot_v_s(c_RB, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 11.43/7.76 tff(2729,plain,
% 11.43/7.76 (m_Robot_v_s(c_RB, c_s)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 11.43/7.76 tff(2730,plain,
% 11.43/7.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2731,plain,
% 11.43/7.76 (((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2732,plain,
% 11.43/7.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1)))),
% 11.43/7.76 inference(monotonicity,[status(thm)],[2731])).
% 11.43/7.76 tff(2733,plain,
% 11.43/7.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1))),
% 11.43/7.76 inference(transitivity,[status(thm)],[2732, 2730])).
% 11.43/7.76 tff(2734,plain,
% 11.43/7.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s0, s1)) | node131(c_s, s0, s1) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2735,plain,
% 11.43/7.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s0, s1)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2734, 2733])).
% 11.43/7.76 tff(2736,plain,
% 11.43/7.76 (node131(c_s, s0, s1)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2735, 2729, 2726, 49])).
% 11.43/7.76 tff(2737,plain,
% 11.43/7.76 (^[I0: $i] : refl(m_state_v_A2Mag(I0, s0, c_off) <=> m_state_v_A2Mag(I0, s0, c_off))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2738,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2737])).
% 11.43/7.76 tff(2739,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2740,axiom,(![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_95')).
% 11.43/7.76 tff(2741,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 11.43/7.76 tff(2742,plain,(
% 11.43/7.76 ![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.43/7.76 inference(skolemize,[status(sab)],[2741])).
% 11.43/7.76 tff(2743,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2742, 2738])).
% 11.43/7.76 tff(2744,plain,
% 11.43/7.76 ((~![I0: $i] : m_state_v_A2Mag(I0, s0, c_off)) | m_state_v_A2Mag(c_s, s0, c_off)),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2745,plain,
% 11.43/7.76 (m_state_v_A2Mag(c_s, s0, c_off)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2744, 2743])).
% 11.43/7.76 tff(2746,plain,
% 11.43/7.76 (^[I0: $i] : refl(m_state_v_A1Mag(I0, s0, c_off) <=> m_state_v_A1Mag(I0, s0, c_off))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2747,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2746])).
% 11.43/7.76 tff(2748,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off) <=> ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2749,axiom,(![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_94')).
% 11.43/7.76 tff(2750,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 11.43/7.76 tff(2751,plain,(
% 11.43/7.76 ![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.43/7.76 inference(skolemize,[status(sab)],[2750])).
% 11.43/7.76 tff(2752,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2751, 2747])).
% 11.43/7.76 tff(2753,plain,
% 11.43/7.76 ((~![I0: $i] : m_state_v_A1Mag(I0, s0, c_off)) | m_state_v_A1Mag(c_s, s0, c_off)),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2754,plain,
% 11.43/7.76 (m_state_v_A1Mag(c_s, s0, c_off)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2753, 2752])).
% 11.43/7.76 tff(2755,plain,
% 11.43/7.76 (^[I0: $i] : refl(m_state_v_A2M(I0, s0, c_idle) <=> m_state_v_A2M(I0, s0, c_idle))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2756,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2755])).
% 11.43/7.76 tff(2757,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2758,axiom,(![I0: $i] : m_state_v_A2M(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_93')).
% 11.43/7.76 tff(2759,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 11.43/7.76 tff(2760,plain,(
% 11.43/7.76 ![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.43/7.76 inference(skolemize,[status(sab)],[2759])).
% 11.43/7.76 tff(2761,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_A2M(I0, s0, c_idle)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2760, 2756])).
% 11.43/7.76 tff(2762,plain,
% 11.43/7.76 ((~![I0: $i] : m_state_v_A2M(I0, s0, c_idle)) | m_state_v_A2M(c_s, s0, c_idle)),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2763,plain,
% 11.43/7.76 (m_state_v_A2M(c_s, s0, c_idle)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2762, 2761])).
% 11.43/7.76 tff(2764,plain,
% 11.43/7.76 (^[I0: $i] : refl(m_state_v_a2ext(I0, s0, c_retracted) <=> m_state_v_a2ext(I0, s0, c_retracted))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2765,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2764])).
% 11.43/7.76 tff(2766,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2767,axiom,(![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_91')).
% 11.43/7.76 tff(2768,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 11.43/7.76 tff(2769,plain,(
% 11.43/7.76 ![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(skolemize,[status(sab)],[2768])).
% 11.43/7.76 tff(2770,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2769, 2765])).
% 11.43/7.76 tff(2771,plain,
% 11.43/7.76 ((~![I0: $i] : m_state_v_a2ext(I0, s0, c_retracted)) | m_state_v_a2ext(c_s, s0, c_retracted)),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2772,plain,
% 11.43/7.76 (m_state_v_a2ext(c_s, s0, c_retracted)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2771, 2770])).
% 11.43/7.76 tff(2773,plain,
% 11.43/7.76 (^[I0: $i] : refl(m_state_v_a1ext(I0, s0, c_retracted) <=> m_state_v_a1ext(I0, s0, c_retracted))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2774,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2773])).
% 11.43/7.76 tff(2775,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted) <=> ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2776,axiom,(![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_90')).
% 11.43/7.76 tff(2777,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 11.43/7.76 tff(2778,plain,(
% 11.43/7.76 ![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(skolemize,[status(sab)],[2777])).
% 11.43/7.76 tff(2779,plain,
% 11.43/7.76 (![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)),
% 11.43/7.76 inference(modus_ponens,[status(thm)],[2778, 2774])).
% 11.43/7.76 tff(2780,plain,
% 11.43/7.76 ((~![I0: $i] : m_state_v_a1ext(I0, s0, c_retracted)) | m_state_v_a1ext(c_s, s0, c_retracted)),
% 11.43/7.76 inference(quant_inst,[status(thm)],[])).
% 11.43/7.76 tff(2781,plain,
% 11.43/7.76 (m_state_v_a1ext(c_s, s0, c_retracted)),
% 11.43/7.76 inference(unit_resolution,[status(thm)],[2780, 2779])).
% 11.43/7.76 tff(2782,plain,
% 11.43/7.76 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))),
% 11.43/7.76 inference(bind,[status(th)],[])).
% 11.43/7.76 tff(2783,plain,
% 11.43/7.76 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.43/7.76 inference(quant_intro,[status(thm)],[2782])).
% 11.43/7.76 tff(2784,plain,
% 11.43/7.76 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.43/7.76 inference(rewrite,[status(thm)],[])).
% 11.43/7.76 tff(2785,plain,
% 11.43/7.76 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_topPos(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | m_state_v_A1M(J0, Y, c_extend)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | m_state_v_A1M(J0, Y, c_extend)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle))) | (~node131(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))), ((((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))))),
% 11.51/7.77 inference(bind,[status(th)],[])).
% 11.51/7.77 tff(2786,plain,
% 11.51/7.77 (![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.51/7.77 inference(quant_intro,[status(thm)],[2785])).
% 11.51/7.77 tff(2787,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_RRM(J0, X, c_idle))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_off))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_tl(J0, X))) | m_state_v_A1M(J0, Y, c_extend)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_45')).
% 11.51/7.77 tff(2788,plain,
% 11.51/7.77 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 11.51/7.77 tff(2789,plain,
% 11.51/7.77 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2788, 2784])).
% 11.51/7.77 tff(2790,plain,(
% 11.51/7.77 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.51/7.77 inference(skolemize,[status(sab)],[2789])).
% 11.51/7.77 tff(2791,plain,
% 11.51/7.77 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2790, 2783])).
% 11.51/7.77 tff(2792,plain,
% 11.51/7.77 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2793,plain,
% 11.51/7.77 (((~m_state_v_tl(c_s, s0)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node131(c_s, s0, s1)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_idle))) <=> ((~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2794,plain,
% 11.51/7.77 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node131(c_s, s0, s1)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1))))),
% 11.51/7.77 inference(monotonicity,[status(thm)],[2793])).
% 11.51/7.77 tff(2795,plain,
% 11.51/7.77 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node131(c_s, s0, s1)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1)))),
% 11.51/7.77 inference(transitivity,[status(thm)],[2794, 2792])).
% 11.51/7.77 tff(2796,plain,
% 11.51/7.77 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~node131(c_s, s0, s1)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.51/7.77 inference(quant_inst,[status(thm)],[])).
% 11.51/7.77 tff(2797,plain,
% 11.51/7.77 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | (~m_state_v_A1M(c_s, s0, c_idle)) | (~m_state_v_angle(c_s, s0, c_arm1totable)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~m_state_v_RRM(c_s, s0, c_idle)) | (~m_state_v_A2M(c_s, s0, c_idle)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A1M(c_s, s1, c_extend) | (~node131(c_s, s0, s1))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 11.51/7.77 tff(2798,plain,
% 11.51/7.77 ((~m_state_v_maxRot(c_s, s0)) | (~m_state_v_topPos(c_s, s0)) | m_state_v_A1M(c_s, s1, c_extend)),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2797, 2791, 1294, 1376, 2474, 2781, 2772, 2440, 2763, 2754, 2745, 2736])).
% 11.51/7.77 tff(2799,plain,
% 11.51/7.77 ($false),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2798, 2716, 2705, 2693])).
% 11.51/7.77 tff(2800,plain,((~node122(c_s, s0)) | m_state_v_A1M(c_s, s1, c_extend)), inference(lemma,lemma(discharge,[]))).
% 11.51/7.77 tff(2801,plain,
% 11.51/7.77 (~node122(c_s, s0)),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2800, 2692])).
% 11.51/7.77 tff(2802,plain,
% 11.51/7.77 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2803,plain,
% 11.51/7.77 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.51/7.77 inference(quant_inst,[status(thm)],[])).
% 11.51/7.77 tff(2804,plain,
% 11.51/7.77 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_ot)) | (~m_state_v_a1ext(c_s, s0, c_retracted))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 11.51/7.77 tff(2805,plain,
% 11.51/7.77 (~m_state_v_a1ext(c_s, s0, c_ot)),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2804, 2652, 2781])).
% 11.51/7.77 tff(2806,plain,
% 11.51/7.77 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))))),
% 11.51/7.77 inference(bind,[status(th)],[])).
% 11.51/7.77 tff(2807,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.51/7.77 inference(quant_intro,[status(thm)],[2806])).
% 11.51/7.77 tff(2808,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2809,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_30')).
% 11.51/7.77 tff(2810,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2809, 2808])).
% 11.51/7.77 tff(2811,plain,(
% 11.51/7.77 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.51/7.77 inference(skolemize,[status(sab)],[2810])).
% 11.51/7.77 tff(2812,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2811, 2807])).
% 11.51/7.77 tff(2813,plain,
% 11.51/7.77 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~node126(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~node126(c_s, s0)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2814,plain,
% 11.51/7.77 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~node126(c_s, s0)))),
% 11.51/7.77 inference(quant_inst,[status(thm)],[])).
% 11.51/7.77 tff(2815,plain,
% 11.51/7.77 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~node126(c_s, s0))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 11.51/7.77 tff(2816,plain,
% 11.51/7.77 (~node126(c_s, s0)),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2815, 2812, 2805])).
% 11.51/7.77 tff(2817,plain,
% 11.51/7.77 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))))),
% 11.51/7.77 inference(bind,[status(th)],[])).
% 11.51/7.77 tff(2818,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.51/7.77 inference(quant_intro,[status(thm)],[2817])).
% 11.51/7.77 tff(2819,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2820,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_33')).
% 11.51/7.77 tff(2821,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 11.51/7.77 tff(2822,plain,(
% 11.51/7.77 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.51/7.77 inference(skolemize,[status(sab)],[2821])).
% 11.51/7.77 tff(2823,plain,
% 11.51/7.77 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2822, 2818])).
% 11.51/7.77 tff(2824,plain,
% 11.51/7.77 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2825,plain,
% 11.51/7.77 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0)))),
% 11.51/7.77 inference(quant_inst,[status(thm)],[])).
% 11.51/7.77 tff(2826,plain,
% 11.51/7.77 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node127(c_s, s0))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 11.51/7.77 tff(2827,plain,
% 11.51/7.77 (~node127(c_s, s0)),
% 11.51/7.77 inference(unit_resolution,[status(thm)],[2826, 2823, 2529])).
% 11.51/7.77 tff(2828,plain,
% 11.51/7.77 (^[I0: $i, X: $i] : refl(((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))))),
% 11.51/7.77 inference(bind,[status(th)],[])).
% 11.51/7.77 tff(2829,plain,
% 11.51/7.77 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.51/7.77 inference(quant_intro,[status(thm)],[2828])).
% 11.51/7.77 tff(2830,plain,
% 11.51/7.77 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2831,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_3')).
% 11.51/7.77 tff(2832,plain,
% 11.51/7.77 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 11.51/7.77 tff(2833,plain,(
% 11.51/7.77 ![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.51/7.77 inference(skolemize,[status(sab)],[2832])).
% 11.51/7.77 tff(2834,plain,
% 11.51/7.77 (![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))),
% 11.51/7.77 inference(modus_ponens,[status(thm)],[2833, 2829])).
% 11.51/7.77 tff(2835,plain,
% 11.51/7.77 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.51/7.77 inference(rewrite,[status(thm)],[])).
% 11.51/7.77 tff(2836,plain,
% 11.51/7.77 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle)))),
% 11.51/7.77 inference(quant_inst,[status(thm)],[])).
% 11.51/7.77 tff(2837,plain,
% 11.51/7.77 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s0, c_extend)) | (~m_state_v_A1M(c_s, s0, c_idle))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 11.51/7.78 tff(2838,plain,
% 11.51/7.78 (~m_state_v_A1M(c_s, s0, c_extend)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2837, 2834, 1376])).
% 11.51/7.78 tff(2839,plain,
% 11.51/7.78 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2840,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2839])).
% 11.51/7.78 tff(2841,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2842,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_24')).
% 11.51/7.78 tff(2843,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 11.51/7.78 tff(2844,plain,(
% 11.51/7.78 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2843])).
% 11.51/7.78 tff(2845,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2844, 2840])).
% 11.51/7.78 tff(2846,plain,
% 11.51/7.78 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2847,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2848,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node124(c_s, s0))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 11.51/7.78 tff(2849,plain,
% 11.51/7.78 (~node124(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2848, 2845, 2838])).
% 11.51/7.78 tff(2850,plain,
% 11.51/7.78 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2851,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2850])).
% 11.51/7.78 tff(2852,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2853,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_27')).
% 11.51/7.78 tff(2854,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 11.51/7.78 tff(2855,plain,(
% 11.51/7.78 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2854])).
% 11.51/7.78 tff(2856,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2855, 2851])).
% 11.51/7.78 tff(2857,plain,
% 11.51/7.78 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node125(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node125(c_s, s0)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2858,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node125(c_s, s0)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2859,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node125(c_s, s0))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 11.51/7.78 tff(2860,plain,
% 11.51/7.78 (~node125(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2859, 2856, 2838])).
% 11.51/7.78 tff(2861,plain,
% 11.51/7.78 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2862,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2861])).
% 11.51/7.78 tff(2863,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2864,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_38')).
% 11.51/7.78 tff(2865,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 11.51/7.78 tff(2866,plain,(
% 11.51/7.78 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2865])).
% 11.51/7.78 tff(2867,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2866, 2862])).
% 11.51/7.78 tff(2868,plain,
% 11.51/7.78 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2869,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2870,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node128(c_s, s0))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 11.51/7.78 tff(2871,plain,
% 11.51/7.78 (~node128(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2870, 2867, 1387])).
% 11.51/7.78 tff(2872,plain,
% 11.51/7.78 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2873,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2872])).
% 11.51/7.78 tff(2874,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2875,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_41')).
% 11.51/7.78 tff(2876,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 11.51/7.78 tff(2877,plain,(
% 11.51/7.78 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2876])).
% 11.51/7.78 tff(2878,plain,
% 11.51/7.78 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2877, 2873])).
% 11.51/7.78 tff(2879,plain,
% 11.51/7.78 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node129(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node129(c_s, s0)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2880,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node129(c_s, s0)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2881,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node129(c_s, s0))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 11.51/7.78 tff(2882,plain,
% 11.51/7.78 (~node129(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2881, 2878, 1387])).
% 11.51/7.78 tff(2883,plain,
% 11.51/7.78 (^[I0: $i] : refl(m_state_v_pl(I0, s0) <=> m_state_v_pl(I0, s0))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2884,plain,
% 11.51/7.78 (![I0: $i] : m_state_v_pl(I0, s0) <=> ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2883])).
% 11.51/7.78 tff(2885,plain,
% 11.51/7.78 (![I0: $i] : m_state_v_pl(I0, s0) <=> ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2886,axiom,(![I0: $i] : m_state_v_pl(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_99')).
% 11.51/7.78 tff(2887,plain,
% 11.51/7.78 (![I0: $i] : m_state_v_pl(I0, s0)),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 11.51/7.78 tff(2888,plain,(
% 11.51/7.78 ![I0: $i] : m_state_v_pl(I0, s0)),
% 11.51/7.78 inference(skolemize,[status(sab)],[2887])).
% 11.51/7.78 tff(2889,plain,
% 11.51/7.78 (![I0: $i] : m_state_v_pl(I0, s0)),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2888, 2884])).
% 11.51/7.78 tff(2890,plain,
% 11.51/7.78 ((~![I0: $i] : m_state_v_pl(I0, s0)) | m_state_v_pl(c_s, s0)),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2891,plain,
% 11.51/7.78 (m_state_v_pl(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2890, 2889])).
% 11.51/7.78 tff(2892,plain,
% 11.51/7.78 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node123(J0, X))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2893,plain,
% 11.51/7.78 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2892])).
% 11.51/7.78 tff(2894,plain,
% 11.51/7.78 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2895,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_22')).
% 11.51/7.78 tff(2896,plain,
% 11.51/7.78 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 11.51/7.78 tff(2897,plain,(
% 11.51/7.78 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2896])).
% 11.51/7.78 tff(2898,plain,
% 11.51/7.78 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2897, 2893])).
% 11.51/7.78 tff(2899,plain,
% 11.51/7.78 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node123(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node123(c_s, s0)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2900,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node123(c_s, s0)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.51/7.78 tff(2901,plain,
% 11.51/7.78 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node123(c_s, s0))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 11.51/7.78 tff(2902,plain,
% 11.51/7.78 (~node123(c_s, s0)),
% 11.51/7.78 inference(unit_resolution,[status(thm)],[2901, 2898, 2891])).
% 11.51/7.78 tff(2903,plain,
% 11.51/7.78 (^[Y: $i, X: $i, J0: $i] : refl((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2904,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2903])).
% 11.51/7.78 tff(2905,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2906,plain,
% 11.51/7.78 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | node128(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | node128(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)) | node129(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X)) | node129(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)) | node130(J0, X, Y)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X)) | node130(J0, X, Y)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)) | (~node131(J0, X, Y))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))))),
% 11.51/7.78 inference(bind,[status(th)],[])).
% 11.51/7.78 tff(2907,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(quant_intro,[status(thm)],[2906])).
% 11.51/7.78 tff(2908,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | node128(J0, X)) | node129(J0, X)) | node130(J0, X, Y)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_53')).
% 11.51/7.78 tff(2909,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 11.51/7.78 tff(2910,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2909, 2905])).
% 11.51/7.78 tff(2911,plain,(
% 11.51/7.78 ![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(skolemize,[status(sab)],[2910])).
% 11.51/7.78 tff(2912,plain,
% 11.51/7.78 (![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))),
% 11.51/7.78 inference(modus_ponens,[status(thm)],[2911, 2904])).
% 11.51/7.78 tff(2913,plain,
% 11.51/7.78 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2914,plain,
% 11.51/7.78 ((node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1))) <=> (node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1))),
% 11.51/7.78 inference(rewrite,[status(thm)],[])).
% 11.51/7.78 tff(2915,plain,
% 11.51/7.78 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1)))),
% 11.51/7.78 inference(monotonicity,[status(thm)],[2914])).
% 11.51/7.78 tff(2916,plain,
% 11.51/7.78 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1))),
% 11.51/7.78 inference(transitivity,[status(thm)],[2915, 2913])).
% 11.51/7.78 tff(2917,plain,
% 11.51/7.78 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s0) | node123(c_s, s0) | node124(c_s, s0) | node125(c_s, s0) | node126(c_s, s0) | node127(c_s, s0) | node128(c_s, s0) | node129(c_s, s0) | node130(c_s, s0, s1) | (~node131(c_s, s0, s1)))),
% 11.51/7.78 inference(quant_inst,[status(thm)],[])).
% 11.53/7.78 tff(2918,plain,
% 11.53/7.78 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node123(c_s, s0) | node129(c_s, s0) | node128(c_s, s0) | node125(c_s, s0) | node124(c_s, s0) | node127(c_s, s0) | node126(c_s, s0) | node122(c_s, s0) | (~node131(c_s, s0, s1)) | node130(c_s, s0, s1)),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 11.53/7.78 tff(2919,plain,
% 11.53/7.78 (node122(c_s, s0) | node130(c_s, s0, s1)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2918, 2912, 2902, 2882, 2871, 2860, 2849, 2827, 2816, 2736])).
% 11.53/7.78 tff(2920,plain,
% 11.53/7.78 (node130(c_s, s0, s1)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2919, 2801])).
% 11.53/7.78 tff(2921,plain,
% 11.53/7.78 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))))),
% 11.53/7.78 inference(bind,[status(th)],[])).
% 11.53/7.78 tff(2922,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(quant_intro,[status(thm)],[2921])).
% 11.53/7.78 tff(2923,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2924,plain,
% 11.53/7.78 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V))))),
% 11.53/7.78 inference(bind,[status(th)],[])).
% 11.53/7.78 tff(2925,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(quant_intro,[status(thm)],[2924])).
% 11.53/7.78 tff(2926,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1M(J0, Y, V)) | m_state_v_A1M(J0, X, V)) | (~node130(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_44')).
% 11.53/7.78 tff(2927,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 11.53/7.78 tff(2928,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2927, 2923])).
% 11.53/7.78 tff(2929,plain,(
% 11.53/7.78 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(skolemize,[status(sab)],[2928])).
% 11.53/7.78 tff(2930,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2929, 2922])).
% 11.53/7.78 tff(2931,plain,
% 11.53/7.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2932,plain,
% 11.53/7.78 (((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract))) <=> ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2933,plain,
% 11.53/7.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1))))),
% 11.53/7.78 inference(monotonicity,[status(thm)],[2932])).
% 11.53/7.78 tff(2934,plain,
% 11.53/7.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1)))),
% 11.53/7.78 inference(transitivity,[status(thm)],[2933, 2931])).
% 11.53/7.78 tff(2935,plain,
% 11.53/7.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_retract) | (~m_state_v_A1M(c_s, s1, c_retract)))),
% 11.53/7.78 inference(quant_inst,[status(thm)],[])).
% 11.53/7.78 tff(2936,plain,
% 11.53/7.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s1, c_retract)) | m_state_v_A1M(c_s, s0, c_retract) | (~node130(c_s, s0, s1))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 11.53/7.78 tff(2937,plain,
% 11.53/7.78 (~m_state_v_A1M(c_s, s1, c_retract)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2936, 2930, 1387, 2920])).
% 11.53/7.78 tff(2938,plain,
% 11.53/7.78 (~node1(c_s, s1)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2416, 1397, 2937])).
% 11.53/7.78 tff(2939,plain,
% 11.53/7.78 (m_state_v_tl(c_s, s2)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2412, 2938])).
% 11.53/7.78 tff(2940,plain,
% 11.53/7.78 ($false),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2346, 1448, 2939, 2158, 2159])).
% 11.53/7.78 tff(2941,plain,((~node3(c_s, s2, s3)) | m_state_v_tl(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 11.53/7.78 tff(2942,plain,
% 11.53/7.78 (~node3(c_s, s2, s3)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2941, 2158])).
% 11.53/7.78 tff(2943,plain,
% 11.53/7.78 (node1(c_s, s2)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2339, 2942])).
% 11.53/7.78 tff(2944,plain,
% 11.53/7.78 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2945,plain,
% 11.53/7.78 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract))),
% 11.53/7.78 inference(quant_inst,[status(thm)],[])).
% 11.53/7.78 tff(2946,plain,
% 11.53/7.78 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s2)) | m_state_v_A1M(c_s, s2, c_retract)),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 11.53/7.78 tff(2947,plain,
% 11.53/7.78 (m_state_v_A1M(c_s, s2, c_retract)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2946, 1397, 2943])).
% 11.53/7.78 tff(2948,plain,
% 11.53/7.78 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s2, c_extend)) | (~m_state_v_A1M(c_s, s2, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~m_state_v_A1M(c_s, s2, c_retract)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2949,plain,
% 11.53/7.78 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s2, c_extend)) | (~m_state_v_A1M(c_s, s2, c_retract)))),
% 11.53/7.78 inference(quant_inst,[status(thm)],[])).
% 11.53/7.78 tff(2950,plain,
% 11.53/7.78 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~m_state_v_A1M(c_s, s2, c_retract))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 11.53/7.78 tff(2951,plain,
% 11.53/7.78 (~m_state_v_A1M(c_s, s2, c_extend)),
% 11.53/7.78 inference(unit_resolution,[status(thm)],[2950, 2639, 2947])).
% 11.53/7.78 tff(2952,assumption,(node130(c_s, s0, s1)), introduced(assumption)).
% 11.53/7.78 tff(2953,assumption,(~m_state_v_A1M(c_s, s1, c_idle)), introduced(assumption)).
% 11.53/7.78 tff(2954,plain,
% 11.53/7.78 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)))),
% 11.53/7.78 inference(bind,[status(th)],[])).
% 11.53/7.78 tff(2955,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(quant_intro,[status(thm)],[2954])).
% 11.53/7.78 tff(2956,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2957,plain,
% 11.53/7.78 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) <=> ((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))), (((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> (((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) | (~node130(J0, X, Y))))), rewrite((((~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V)) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))), (((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))))),
% 11.53/7.78 inference(bind,[status(th)],[])).
% 11.53/7.78 tff(2958,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(quant_intro,[status(thm)],[2957])).
% 11.53/7.78 tff(2959,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1M(J0, Y, V) | (~m_state_v_A1M(J0, X, V))) | (~node130(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_43')).
% 11.53/7.78 tff(2960,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 11.53/7.78 tff(2961,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2960, 2956])).
% 11.53/7.78 tff(2962,plain,(
% 11.53/7.78 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(skolemize,[status(sab)],[2961])).
% 11.53/7.78 tff(2963,plain,
% 11.53/7.78 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))),
% 11.53/7.78 inference(modus_ponens,[status(thm)],[2962, 2955])).
% 11.53/7.78 tff(2964,plain,
% 11.53/7.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2965,plain,
% 11.53/7.78 (((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle)) <=> ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.53/7.78 inference(rewrite,[status(thm)],[])).
% 11.53/7.78 tff(2966,plain,
% 11.53/7.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1))))),
% 11.53/7.79 inference(monotonicity,[status(thm)],[2965])).
% 11.53/7.79 tff(2967,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1)))),
% 11.53/7.79 inference(transitivity,[status(thm)],[2966, 2964])).
% 11.53/7.79 tff(2968,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s0, s1)) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(2969,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s0, c_idle)) | m_state_v_A1M(c_s, s1, c_idle) | (~node130(c_s, s0, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 11.53/7.79 tff(2970,plain,
% 11.53/7.79 ($false),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2969, 2963, 1376, 2953, 2952])).
% 11.53/7.79 tff(2971,plain,((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.53/7.79 tff(2972,plain,
% 11.53/7.79 (m_state_v_A1M(c_s, s1, c_idle)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2971, 2920])).
% 11.53/7.79 tff(2973,plain,
% 11.53/7.79 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(2974,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(2975,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node128(c_s, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 11.53/7.79 tff(2976,plain,
% 11.53/7.79 (~node128(c_s, s1)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2975, 2867, 2937])).
% 11.53/7.79 tff(2977,plain,
% 11.53/7.79 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s2, c_retract)) | (~m_state_v_A1M(c_s, s2, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~m_state_v_A1M(c_s, s2, c_idle)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(2978,plain,
% 11.53/7.79 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s2, c_retract)) | (~m_state_v_A1M(c_s, s2, c_idle)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(2979,plain,
% 11.53/7.79 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~m_state_v_A1M(c_s, s2, c_idle))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 11.53/7.79 tff(2980,plain,
% 11.53/7.79 (~m_state_v_A1M(c_s, s2, c_idle)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2979, 1383, 2947])).
% 11.53/7.79 tff(2981,assumption,(m_state_v_A1M(c_s, s1, c_idle)), introduced(assumption)).
% 11.53/7.79 tff(2982,assumption,(node130(c_s, s1, s2)), introduced(assumption)).
% 11.53/7.79 tff(2983,assumption,(~m_state_v_A1M(c_s, s2, c_idle)), introduced(assumption)).
% 11.53/7.79 tff(2984,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(2985,plain,
% 11.53/7.79 (((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle)) <=> (m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(2986,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2))))),
% 11.53/7.79 inference(monotonicity,[status(thm)],[2985])).
% 11.53/7.79 tff(2987,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2)))),
% 11.53/7.79 inference(transitivity,[status(thm)],[2986, 2984])).
% 11.53/7.79 tff(2988,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s1, s2)) | (~m_state_v_A1M(c_s, s1, c_idle)) | m_state_v_A1M(c_s, s2, c_idle))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(2989,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~node130(c_s, s1, s2))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2988, 2987])).
% 11.53/7.79 tff(2990,plain,
% 11.53/7.79 ($false),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2989, 2963, 2983, 2982, 2981])).
% 11.53/7.79 tff(2991,plain,((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s2, c_idle) | (~m_state_v_A1M(c_s, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 11.53/7.79 tff(2992,plain,
% 11.53/7.79 (~node130(c_s, s1, s2)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[2991, 2980, 2972])).
% 11.53/7.79 tff(2993,plain,
% 11.53/7.79 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(2994,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[2993])).
% 11.53/7.79 tff(2995,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(2996,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_12')).
% 11.53/7.79 tff(2997,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2996, 2995])).
% 11.53/7.79 tff(2998,plain,(
% 11.53/7.79 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[2997])).
% 11.53/7.79 tff(2999,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[2998, 2994])).
% 11.53/7.79 tff(3000,plain,
% 11.53/7.79 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node123(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node123(c_s, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3001,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node123(c_s, s1)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3002,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node123(c_s, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3001, 3000])).
% 11.53/7.79 tff(3003,plain,
% 11.53/7.79 (~node123(c_s, s1)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3002, 2999, 2574])).
% 11.53/7.79 tff(3004,plain,
% 11.53/7.79 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3005,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3004])).
% 11.53/7.79 tff(3006,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3007,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_40')).
% 11.53/7.79 tff(3008,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 11.53/7.79 tff(3009,plain,(
% 11.53/7.79 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3008])).
% 11.53/7.79 tff(3010,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3009, 3005])).
% 11.53/7.79 tff(3011,plain,
% 11.53/7.79 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3012,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3013,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node129(c_s, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 11.53/7.79 tff(3014,plain,
% 11.53/7.79 (~node129(c_s, s1)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3013, 3010, 2574])).
% 11.53/7.79 tff(3015,plain,
% 11.53/7.79 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3016,plain,
% 11.53/7.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3017,plain,
% 11.53/7.79 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s0, s1)),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3016, 3015])).
% 11.53/7.79 tff(3018,plain,
% 11.53/7.79 (node32(c_s, s0, s1)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3017, 62, 2598, 49])).
% 11.53/7.79 tff(3019,plain,
% 11.53/7.79 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3020,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3019])).
% 11.53/7.79 tff(3021,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3022,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_38')).
% 11.53/7.79 tff(3023,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 11.53/7.79 tff(3024,plain,(
% 11.53/7.79 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3023])).
% 11.53/7.79 tff(3025,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3024, 3020])).
% 11.53/7.79 tff(3026,plain,
% 11.53/7.79 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node30(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node30(c_s, s0)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3027,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node30(c_s, s0)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3028,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node30(c_s, s0))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3027, 3026])).
% 11.53/7.79 tff(3029,plain,
% 11.53/7.79 (~node30(c_s, s0)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3028, 3025, 2838])).
% 11.53/7.79 tff(3030,plain,
% 11.53/7.79 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3031,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3032,plain,
% 11.53/7.79 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node29(c_s, s0))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3031, 3030])).
% 11.53/7.79 tff(3033,plain,
% 11.53/7.79 (~node29(c_s, s0)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3032, 2628, 2838])).
% 11.53/7.79 tff(3034,plain,
% 11.53/7.79 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3035,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3034])).
% 11.53/7.79 tff(3036,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3037,plain,
% 11.53/7.79 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X))), ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) <=> ((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X)) | node31(J0, X, Y)))), rewrite(((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X)) | node31(J0, X, Y)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y))), ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)))), (((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> ((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)) | (~node32(J0, X, Y))))), rewrite(((m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))), (((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3038,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3037])).
% 11.53/7.79 tff(3039,axiom,(![Y: $i, X: $i, J0: $i] : ((((node29(J0, X) | node30(J0, X)) | m_state_v_A1M(J0, X, c_retract)) | node31(J0, X, Y)) | (~node32(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_45')).
% 11.53/7.79 tff(3040,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 11.53/7.79 tff(3041,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3040, 3036])).
% 11.53/7.79 tff(3042,plain,(
% 11.53/7.79 ![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3041])).
% 11.53/7.79 tff(3043,plain,
% 11.53/7.79 (![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3042, 3035])).
% 11.53/7.79 tff(3044,plain,
% 11.53/7.79 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3045,plain,
% 11.53/7.79 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3046,plain,
% 11.53/7.79 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s0, c_retract) | node29(c_s, s0) | node30(c_s, s0) | node31(c_s, s0, s1) | (~node32(c_s, s0, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3045, 3044])).
% 11.53/7.79 tff(3047,plain,
% 11.53/7.79 (node31(c_s, s0, s1)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3046, 3043, 1387, 3033, 3029, 3018])).
% 11.53/7.79 tff(3048,plain,
% 11.53/7.79 (^[I0: $i, X: $i] : refl(((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3049,plain,
% 11.53/7.79 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3048])).
% 11.53/7.79 tff(3050,plain,
% 11.53/7.79 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3051,axiom,(![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_45')).
% 11.53/7.79 tff(3052,plain,
% 11.53/7.79 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 11.53/7.79 tff(3053,plain,(
% 11.53/7.79 ![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3052])).
% 11.53/7.79 tff(3054,plain,
% 11.53/7.79 (![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3053, 3049])).
% 11.53/7.79 tff(3055,plain,
% 11.53/7.79 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3056,plain,
% 11.53/7.79 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3057,plain,
% 11.53/7.79 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_a1ip)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s0, c_a1ip)) | (~m_state_v_a1ext(c_s, s0, c_retracted))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 11.53/7.79 tff(3058,plain,
% 11.53/7.79 (~m_state_v_a1ext(c_s, s0, c_a1ip)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3057, 3054, 2781])).
% 11.53/7.79 tff(3059,plain,
% 11.53/7.79 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3060,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3059])).
% 11.53/7.79 tff(3061,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3062,plain,
% 11.53/7.79 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3063,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3062])).
% 11.53/7.79 tff(3064,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a1ext(J0, Y, V)) | m_state_v_a1ext(J0, X, V)) | (~node31(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_41')).
% 11.53/7.79 tff(3065,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 11.53/7.79 tff(3066,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3065, 3061])).
% 11.53/7.79 tff(3067,plain,(
% 11.53/7.79 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3066])).
% 11.53/7.79 tff(3068,plain,
% 11.53/7.79 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3067, 3060])).
% 11.53/7.79 tff(3069,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3070,plain,
% 11.53/7.79 (((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip))) <=> (m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3071,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1))))),
% 11.53/7.79 inference(monotonicity,[status(thm)],[3070])).
% 11.53/7.79 tff(3072,plain,
% 11.53/7.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1)))),
% 11.53/7.79 inference(transitivity,[status(thm)],[3071, 3069])).
% 11.53/7.79 tff(3073,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)))),
% 11.53/7.79 inference(quant_inst,[status(thm)],[])).
% 11.53/7.79 tff(3074,plain,
% 11.53/7.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_a1ip) | (~m_state_v_a1ext(c_s, s1, c_a1ip)) | (~node31(c_s, s0, s1))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 11.53/7.79 tff(3075,plain,
% 11.53/7.79 (~m_state_v_a1ext(c_s, s1, c_a1ip)),
% 11.53/7.79 inference(unit_resolution,[status(thm)],[3074, 3068, 3058, 3047])).
% 11.53/7.79 tff(3076,plain,
% 11.53/7.79 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))))),
% 11.53/7.79 inference(bind,[status(th)],[])).
% 11.53/7.79 tff(3077,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.53/7.79 inference(quant_intro,[status(thm)],[3076])).
% 11.53/7.79 tff(3078,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.53/7.79 inference(rewrite,[status(thm)],[])).
% 11.53/7.79 tff(3079,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_34')).
% 11.53/7.79 tff(3080,plain,
% 11.53/7.79 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.53/7.79 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 11.53/7.79 tff(3081,plain,(
% 11.53/7.79 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.53/7.79 inference(skolemize,[status(sab)],[3080])).
% 11.53/7.80 tff(3082,plain,
% 11.53/7.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3081, 3077])).
% 11.53/7.80 tff(3083,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3084,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3085,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node127(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node127(c_s, s1))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3084, 3083])).
% 11.53/7.80 tff(3086,plain,
% 11.53/7.80 (~node127(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3085, 3082, 3075])).
% 11.53/7.80 tff(3087,plain,
% 11.53/7.80 (^[X: $i, J0: $i] : refl(((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)))),
% 11.53/7.80 inference(bind,[status(th)],[])).
% 11.53/7.80 tff(3088,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(quant_intro,[status(thm)],[3087])).
% 11.53/7.80 tff(3089,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3090,plain,
% 11.53/7.80 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X))) <=> ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip)))),
% 11.53/7.80 inference(bind,[status(th)],[])).
% 11.53/7.80 tff(3091,plain,
% 11.53/7.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(quant_intro,[status(thm)],[3090])).
% 11.53/7.80 tff(3092,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node125(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_28')).
% 11.53/7.80 tff(3093,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3092, 3091])).
% 11.53/7.80 tff(3094,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3093, 3089])).
% 11.53/7.80 tff(3095,plain,(
% 11.53/7.80 ![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(skolemize,[status(sab)],[3094])).
% 11.53/7.80 tff(3096,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3095, 3088])).
% 11.53/7.80 tff(3097,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))) <=> ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3098,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | ((~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3099,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : ((~node125(J0, X)) | m_state_v_a1ext(J0, X, c_a1ip))) | (~node125(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_a1ip)),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3098, 3097])).
% 11.53/7.80 tff(3100,plain,
% 11.53/7.80 (~node125(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3099, 3096, 3075])).
% 11.53/7.80 tff(3101,plain,
% 11.53/7.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3102,plain,
% 11.53/7.80 (((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot))) <=> (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3103,plain,
% 11.53/7.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1))))),
% 11.53/7.80 inference(monotonicity,[status(thm)],[3102])).
% 11.53/7.80 tff(3104,plain,
% 11.53/7.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1)))),
% 11.53/7.80 inference(transitivity,[status(thm)],[3103, 3101])).
% 11.53/7.80 tff(3105,plain,
% 11.53/7.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s0, s1)) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3106,plain,
% 11.53/7.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s0, c_ot) | (~m_state_v_a1ext(c_s, s1, c_ot)) | (~node31(c_s, s0, s1))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 11.53/7.80 tff(3107,plain,
% 11.53/7.80 (~m_state_v_a1ext(c_s, s1, c_ot)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3106, 3068, 2805, 3047])).
% 11.53/7.80 tff(3108,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3109,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3110,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node126(c_s, s1))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 11.53/7.80 tff(3111,plain,
% 11.53/7.80 (~node126(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3110, 2812, 3107])).
% 11.53/7.80 tff(3112,plain,
% 11.53/7.80 (^[X: $i, J0: $i] : refl(((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)))),
% 11.53/7.80 inference(bind,[status(th)],[])).
% 11.53/7.80 tff(3113,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(quant_intro,[status(thm)],[3112])).
% 11.53/7.80 tff(3114,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3115,plain,
% 11.53/7.80 (^[X: $i, J0: $i] : rewrite((m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X))) <=> ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot)))),
% 11.53/7.80 inference(bind,[status(th)],[])).
% 11.53/7.80 tff(3116,plain,
% 11.53/7.80 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X))) <=> ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(quant_intro,[status(thm)],[3115])).
% 11.53/7.80 tff(3117,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node124(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_25')).
% 11.53/7.80 tff(3118,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 11.53/7.80 tff(3119,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3118, 3114])).
% 11.53/7.80 tff(3120,plain,(
% 11.53/7.80 ![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(skolemize,[status(sab)],[3119])).
% 11.53/7.80 tff(3121,plain,
% 11.53/7.80 (![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3120, 3113])).
% 11.53/7.80 tff(3122,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3123,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3124,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s1)) | m_state_v_a1ext(c_s, s1, c_ot)),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 11.53/7.80 tff(3125,plain,
% 11.53/7.80 (~node124(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3124, 3121, 3107])).
% 11.53/7.80 tff(3126,plain,
% 11.53/7.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3127,plain,
% 11.53/7.80 (((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3128,plain,
% 11.53/7.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2)))),
% 11.53/7.80 inference(monotonicity,[status(thm)],[3127])).
% 11.53/7.80 tff(3129,plain,
% 11.53/7.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2))),
% 11.53/7.80 inference(transitivity,[status(thm)],[3128, 3126])).
% 11.53/7.80 tff(3130,plain,
% 11.53/7.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s1, s2)) | node131(c_s, s1, s2) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3131,plain,
% 11.53/7.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s1, s2)),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 11.53/7.80 tff(3132,plain,
% 11.53/7.80 (node131(c_s, s1, s2)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3131, 2729, 2726, 271])).
% 11.53/7.80 tff(3133,plain,
% 11.53/7.80 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3134,plain,
% 11.53/7.80 ((node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2))) <=> (node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3135,plain,
% 11.53/7.80 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1)))),
% 11.53/7.80 inference(monotonicity,[status(thm)],[3134])).
% 11.53/7.80 tff(3136,plain,
% 11.53/7.80 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1))),
% 11.53/7.80 inference(transitivity,[status(thm)],[3135, 3133])).
% 11.53/7.80 tff(3137,plain,
% 11.53/7.80 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s1) | node123(c_s, s1) | node124(c_s, s1) | node125(c_s, s1) | node126(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node129(c_s, s1) | node130(c_s, s1, s2) | (~node131(c_s, s1, s2)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3138,plain,
% 11.53/7.80 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | (~node131(c_s, s1, s2)) | node123(c_s, s1) | node122(c_s, s1)),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 11.53/7.80 tff(3139,plain,
% 11.53/7.80 (node124(c_s, s1) | node126(c_s, s1) | node125(c_s, s1) | node127(c_s, s1) | node128(c_s, s1) | node130(c_s, s1, s2) | node129(c_s, s1) | node123(c_s, s1) | node122(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3138, 2912, 3132])).
% 11.53/7.80 tff(3140,plain,
% 11.53/7.80 (node128(c_s, s1) | node130(c_s, s1, s2) | node122(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3139, 3125, 3111, 3100, 3086, 3014, 3003])).
% 11.53/7.80 tff(3141,plain,
% 11.53/7.80 (node122(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3140, 2992, 2976])).
% 11.53/7.80 tff(3142,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node122(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node122(c_s, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3143,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node122(c_s, s1)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3144,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node122(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node122(c_s, s1))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 11.53/7.80 tff(3145,plain,
% 11.53/7.80 (m_state_v_maxRot(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3144, 2701, 3141])).
% 11.53/7.80 tff(3146,plain,
% 11.53/7.80 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3147,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node122(c_s, s1)))),
% 11.53/7.80 inference(quant_inst,[status(thm)],[])).
% 11.53/7.80 tff(3148,plain,
% 11.53/7.80 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node122(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node122(c_s, s1))),
% 11.53/7.80 inference(modus_ponens,[status(thm)],[3147, 3146])).
% 11.53/7.80 tff(3149,plain,
% 11.53/7.80 (m_state_v_topPos(c_s, s1)),
% 11.53/7.80 inference(unit_resolution,[status(thm)],[3148, 2712, 3141])).
% 11.53/7.80 tff(3150,plain,
% 11.53/7.80 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)))),
% 11.53/7.80 inference(bind,[status(th)],[])).
% 11.53/7.80 tff(3151,plain,
% 11.53/7.80 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.80 inference(quant_intro,[status(thm)],[3150])).
% 11.53/7.80 tff(3152,plain,
% 11.53/7.80 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.80 inference(rewrite,[status(thm)],[])).
% 11.53/7.80 tff(3153,plain,
% 11.53/7.80 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3154,plain,
% 11.53/7.81 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3153])).
% 11.53/7.81 tff(3155,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node141(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_106')).
% 11.53/7.81 tff(3156,plain,
% 11.53/7.81 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 11.53/7.81 tff(3157,plain,
% 11.53/7.81 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3156, 3152])).
% 11.53/7.81 tff(3158,plain,(
% 11.53/7.81 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3157])).
% 11.53/7.81 tff(3159,plain,
% 11.53/7.81 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3158, 3151])).
% 11.53/7.81 tff(3160,plain,
% 11.53/7.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3161,plain,
% 11.53/7.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3162,plain,
% 11.53/7.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s0, s1)),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 11.53/7.81 tff(3163,plain,
% 11.53/7.81 (node141(c_s, s0, s1)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3162, 2729, 3159, 49])).
% 11.53/7.81 tff(3164,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3165,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3164])).
% 11.53/7.81 tff(3166,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3167,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_55')).
% 11.53/7.81 tff(3168,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3167, 3166])).
% 11.53/7.81 tff(3169,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3168])).
% 11.53/7.81 tff(3170,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3169, 3165])).
% 11.53/7.81 tff(3171,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3172,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3173,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node132(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 11.53/7.81 tff(3174,plain,
% 11.53/7.81 (~node132(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3173, 3170, 2485])).
% 11.53/7.81 tff(3175,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3176,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3175])).
% 11.53/7.81 tff(3177,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3178,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_75')).
% 11.53/7.81 tff(3179,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3178, 3177])).
% 11.53/7.81 tff(3180,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3179])).
% 11.53/7.81 tff(3181,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3180, 3176])).
% 11.53/7.81 tff(3182,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3183,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3184,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node134(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 11.53/7.81 tff(3185,plain,
% 11.53/7.81 (~node134(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3184, 3181, 2485])).
% 11.53/7.81 tff(3186,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3187,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3186])).
% 11.53/7.81 tff(3188,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3189,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_81')).
% 11.53/7.81 tff(3190,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 11.53/7.81 tff(3191,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3190])).
% 11.53/7.81 tff(3192,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3191, 3187])).
% 11.53/7.81 tff(3193,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3194,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3195,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node136(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3194, 3193])).
% 11.53/7.81 tff(3196,plain,
% 11.53/7.81 (~node136(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3195, 3192, 2485])).
% 11.53/7.81 tff(3197,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3198,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3197])).
% 11.53/7.81 tff(3199,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3200,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_89')).
% 11.53/7.81 tff(3201,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 11.53/7.81 tff(3202,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3201])).
% 11.53/7.81 tff(3203,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3202, 3198])).
% 11.53/7.81 tff(3204,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3205,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3206,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node138(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 11.53/7.81 tff(3207,plain,
% 11.53/7.81 (~node138(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3206, 3203, 2485])).
% 11.53/7.81 tff(3208,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3209,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3208])).
% 11.53/7.81 tff(3210,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3211,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_66')).
% 11.53/7.81 tff(3212,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 11.53/7.81 tff(3213,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3212])).
% 11.53/7.81 tff(3214,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3213, 3209])).
% 11.53/7.81 tff(3215,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3216,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3217,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node133(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 11.53/7.81 tff(3218,plain,
% 11.53/7.81 (~node133(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3217, 3214, 2507])).
% 11.53/7.81 tff(3219,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3220,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3219])).
% 11.53/7.81 tff(3221,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3222,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_78')).
% 11.53/7.81 tff(3223,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 11.53/7.81 tff(3224,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3223])).
% 11.53/7.81 tff(3225,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3224, 3220])).
% 11.53/7.81 tff(3226,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3227,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3228,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node135(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 11.53/7.81 tff(3229,plain,
% 11.53/7.81 (~node135(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3228, 3225, 2507])).
% 11.53/7.81 tff(3230,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3231,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3230])).
% 11.53/7.81 tff(3232,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3233,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_85')).
% 11.53/7.81 tff(3234,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3233, 3232])).
% 11.53/7.81 tff(3235,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3234])).
% 11.53/7.81 tff(3236,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3235, 3231])).
% 11.53/7.81 tff(3237,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3238,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3239,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node137(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 11.53/7.81 tff(3240,plain,
% 11.53/7.81 (~node137(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3239, 3236, 2507])).
% 11.53/7.81 tff(3241,plain,
% 11.53/7.81 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3242,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3241])).
% 11.53/7.81 tff(3243,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3244,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_92')).
% 11.53/7.81 tff(3245,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 11.53/7.81 tff(3246,plain,(
% 11.53/7.81 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3245])).
% 11.53/7.81 tff(3247,plain,
% 11.53/7.81 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3246, 3242])).
% 11.53/7.81 tff(3248,plain,
% 11.53/7.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3249,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3250,plain,
% 11.53/7.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node139(c_s, s0))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 11.53/7.81 tff(3251,plain,
% 11.53/7.81 (~node139(c_s, s0)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3250, 3247, 2507])).
% 11.53/7.81 tff(3252,plain,
% 11.53/7.81 (^[Y: $i, X: $i, J0: $i] : refl((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3253,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3252])).
% 11.53/7.81 tff(3254,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3255,plain,
% 11.53/7.81 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node132(J0, X) | node133(J0, X)) | node134(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X))), ((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X)) | node135(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X)) | node135(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X))), ((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)))), (((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)) | node136(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X)) | node136(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X))), (((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)))), ((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)) | node137(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X)) | node137(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X))), ((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)))), (((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)) | node138(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X)) | node138(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X))), (((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)))), ((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)) | node139(J0, X)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X)) | node139(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X))), ((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)))), (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)) | node140(J0, X, Y)))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X)) | node140(J0, X, Y)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y))), (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)))), ((((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> ((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)) | (~node141(J0, X, Y))))), rewrite(((node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))), ((((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3256,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(quant_intro,[status(thm)],[3255])).
% 11.53/7.81 tff(3257,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node132(J0, X) | node133(J0, X)) | node134(J0, X)) | node135(J0, X)) | node136(J0, X)) | node137(J0, X)) | node138(J0, X)) | node139(J0, X)) | node140(J0, X, Y)) | (~node141(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_105')).
% 11.53/7.81 tff(3258,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 11.53/7.81 tff(3259,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3258, 3254])).
% 11.53/7.81 tff(3260,plain,(
% 11.53/7.81 ![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(skolemize,[status(sab)],[3259])).
% 11.53/7.81 tff(3261,plain,
% 11.53/7.81 (![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3260, 3253])).
% 11.53/7.81 tff(3262,plain,
% 11.53/7.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3263,plain,
% 11.53/7.81 ((node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1))) <=> (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1))),
% 11.53/7.81 inference(rewrite,[status(thm)],[])).
% 11.53/7.81 tff(3264,plain,
% 11.53/7.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1)))),
% 11.53/7.81 inference(monotonicity,[status(thm)],[3263])).
% 11.53/7.81 tff(3265,plain,
% 11.53/7.81 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1))),
% 11.53/7.81 inference(transitivity,[status(thm)],[3264, 3262])).
% 11.53/7.81 tff(3266,plain,
% 11.53/7.81 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s0) | node133(c_s, s0) | node134(c_s, s0) | node135(c_s, s0) | node136(c_s, s0) | node137(c_s, s0) | node138(c_s, s0) | node139(c_s, s0) | node140(c_s, s0, s1) | (~node141(c_s, s0, s1)))),
% 11.53/7.81 inference(quant_inst,[status(thm)],[])).
% 11.53/7.81 tff(3267,plain,
% 11.53/7.81 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node139(c_s, s0) | node137(c_s, s0) | node135(c_s, s0) | node133(c_s, s0) | node138(c_s, s0) | node136(c_s, s0) | node134(c_s, s0) | node132(c_s, s0) | (~node141(c_s, s0, s1)) | node140(c_s, s0, s1)),
% 11.53/7.81 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 11.53/7.81 tff(3268,plain,
% 11.53/7.81 (node140(c_s, s0, s1)),
% 11.53/7.81 inference(unit_resolution,[status(thm)],[3267, 3261, 3251, 3240, 3229, 3218, 3207, 3196, 3185, 3174, 3163])).
% 11.53/7.81 tff(3269,plain,
% 11.53/7.81 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)))),
% 11.53/7.81 inference(bind,[status(th)],[])).
% 11.53/7.81 tff(3270,plain,
% 11.53/7.81 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3269])).
% 11.53/7.82 tff(3271,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3272,plain,
% 11.53/7.82 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) <=> ((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))), (((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> (((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) | (~node140(J0, X, Y))))), rewrite((((~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V)) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))), (((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3273,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3272])).
% 11.53/7.82 tff(3274,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2M(J0, Y, V) | (~m_state_v_A2M(J0, X, V))) | (~node140(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_95')).
% 11.53/7.82 tff(3275,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3274, 3273])).
% 11.53/7.82 tff(3276,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3275, 3271])).
% 11.53/7.82 tff(3277,plain,(
% 11.53/7.82 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3276])).
% 11.53/7.82 tff(3278,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3277, 3270])).
% 11.53/7.82 tff(3279,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3280,plain,
% 11.53/7.82 (((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle)) <=> ((~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3281,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1))))),
% 11.53/7.82 inference(monotonicity,[status(thm)],[3280])).
% 11.53/7.82 tff(3282,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1)))),
% 11.53/7.82 inference(transitivity,[status(thm)],[3281, 3279])).
% 11.53/7.82 tff(3283,plain,
% 11.53/7.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s0, s1)) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3284,plain,
% 11.53/7.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s0, c_idle)) | m_state_v_A2M(c_s, s1, c_idle) | (~node140(c_s, s0, s1))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 11.53/7.82 tff(3285,plain,
% 11.53/7.82 (m_state_v_A2M(c_s, s1, c_idle)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3284, 3278, 2763, 3268])).
% 11.53/7.82 tff(3286,plain,
% 11.53/7.82 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3287,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3286])).
% 11.53/7.82 tff(3288,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3289,plain,
% 11.53/7.82 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3290,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3289])).
% 11.53/7.82 tff(3291,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node149(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_130')).
% 11.53/7.82 tff(3292,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 11.53/7.82 tff(3293,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3292, 3288])).
% 11.53/7.82 tff(3294,plain,(
% 11.53/7.82 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3293])).
% 11.53/7.82 tff(3295,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3294, 3287])).
% 11.53/7.82 tff(3296,plain,
% 11.53/7.82 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3297,plain,
% 11.53/7.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3298,plain,
% 11.53/7.82 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s0, s1)),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3297, 3296])).
% 11.53/7.82 tff(3299,plain,
% 11.53/7.82 (node149(c_s, s0, s1)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3298, 2729, 3295, 49])).
% 11.53/7.82 tff(3300,plain,
% 11.53/7.82 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3301,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3300])).
% 11.53/7.82 tff(3302,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3303,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_119')).
% 11.53/7.82 tff(3304,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 11.53/7.82 tff(3305,plain,(
% 11.53/7.82 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3304])).
% 11.53/7.82 tff(3306,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3305, 3301])).
% 11.53/7.82 tff(3307,plain,
% 11.53/7.82 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3308,plain,
% 11.53/7.82 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0)))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3309,plain,
% 11.53/7.82 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node146(c_s, s0))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 11.53/7.82 tff(3310,plain,
% 11.53/7.82 (~node146(c_s, s0)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3309, 3306, 2485])).
% 11.53/7.82 tff(3311,plain,
% 11.53/7.82 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3312,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3311])).
% 11.53/7.82 tff(3313,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3314,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_122')).
% 11.53/7.82 tff(3315,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 11.53/7.82 tff(3316,plain,(
% 11.53/7.82 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3315])).
% 11.53/7.82 tff(3317,plain,
% 11.53/7.82 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3316, 3312])).
% 11.53/7.82 tff(3318,plain,
% 11.53/7.82 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3319,plain,
% 11.53/7.82 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0)))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3320,plain,
% 11.53/7.82 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node147(c_s, s0))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3319, 3318])).
% 11.53/7.82 tff(3321,plain,
% 11.53/7.82 (~node147(c_s, s0)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3320, 3317, 2507])).
% 11.53/7.82 tff(3322,plain,
% 11.53/7.82 (^[Y: $i, X: $i, J0: $i] : refl((node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3323,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3322])).
% 11.53/7.82 tff(3324,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3325,plain,
% 11.53/7.82 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y))), ((((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> ((node146(J0, X) | node147(J0, X) | node148(J0, X, Y)) | (~node149(J0, X, Y))))), rewrite(((node146(J0, X) | node147(J0, X) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))), ((((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3326,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3325])).
% 11.53/7.82 tff(3327,axiom,(![Y: $i, X: $i, J0: $i] : (((node146(J0, X) | node147(J0, X)) | node148(J0, X, Y)) | (~node149(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_129')).
% 11.53/7.82 tff(3328,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 11.53/7.82 tff(3329,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3328, 3324])).
% 11.53/7.82 tff(3330,plain,(
% 11.53/7.82 ![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3329])).
% 11.53/7.82 tff(3331,plain,
% 11.53/7.82 (![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3330, 3323])).
% 11.53/7.82 tff(3332,plain,
% 11.53/7.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3333,plain,
% 11.53/7.82 ((node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))) <=> (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3334,plain,
% 11.53/7.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))))),
% 11.53/7.82 inference(monotonicity,[status(thm)],[3333])).
% 11.53/7.82 tff(3335,plain,
% 11.53/7.82 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.53/7.82 inference(transitivity,[status(thm)],[3334, 3332])).
% 11.53/7.82 tff(3336,plain,
% 11.53/7.82 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s0) | node147(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1)))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3337,plain,
% 11.53/7.82 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s0) | node146(c_s, s0) | node148(c_s, s0, s1) | (~node149(c_s, s0, s1))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 11.53/7.82 tff(3338,plain,
% 11.53/7.82 (node148(c_s, s0, s1)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3337, 3331, 3321, 3310, 3299])).
% 11.53/7.82 tff(3339,plain,
% 11.53/7.82 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3340,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3339])).
% 11.53/7.82 tff(3341,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3342,plain,
% 11.53/7.82 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) <=> ((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))), (((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> (((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) | (~node148(J0, X, Y))))), rewrite((((~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V)) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))), (((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3343,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3342])).
% 11.53/7.82 tff(3344,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A2Mag(J0, Y, V) | (~m_state_v_A2Mag(J0, X, V))) | (~node148(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_125')).
% 11.53/7.82 tff(3345,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 11.53/7.82 tff(3346,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3345, 3341])).
% 11.53/7.82 tff(3347,plain,(
% 11.53/7.82 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(skolemize,[status(sab)],[3346])).
% 11.53/7.82 tff(3348,plain,
% 11.53/7.82 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3347, 3340])).
% 11.53/7.82 tff(3349,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3350,plain,
% 11.53/7.82 (((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off)) <=> ((~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1)))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3351,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1))))),
% 11.53/7.82 inference(monotonicity,[status(thm)],[3350])).
% 11.53/7.82 tff(3352,plain,
% 11.53/7.82 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1)))),
% 11.53/7.82 inference(transitivity,[status(thm)],[3351, 3349])).
% 11.53/7.82 tff(3353,plain,
% 11.53/7.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s0, s1)) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off))),
% 11.53/7.82 inference(quant_inst,[status(thm)],[])).
% 11.53/7.82 tff(3354,plain,
% 11.53/7.82 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | m_state_v_A2Mag(c_s, s1, c_off) | (~node148(c_s, s0, s1))),
% 11.53/7.82 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 11.53/7.82 tff(3355,plain,
% 11.53/7.82 (m_state_v_A2Mag(c_s, s1, c_off)),
% 11.53/7.82 inference(unit_resolution,[status(thm)],[3354, 3348, 2745, 3338])).
% 11.53/7.82 tff(3356,plain,
% 11.53/7.82 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)))),
% 11.53/7.82 inference(bind,[status(th)],[])).
% 11.53/7.82 tff(3357,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.53/7.82 inference(quant_intro,[status(thm)],[3356])).
% 11.53/7.82 tff(3358,plain,
% 11.53/7.82 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.53/7.82 inference(rewrite,[status(thm)],[])).
% 11.53/7.82 tff(3359,plain,
% 11.53/7.82 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))), (((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))))),
% 11.53/7.83 inference(bind,[status(th)],[])).
% 11.53/7.83 tff(3360,plain,
% 11.53/7.83 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.53/7.83 inference(quant_intro,[status(thm)],[3359])).
% 11.53/7.83 tff(3361,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node159(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_186')).
% 11.58/7.83 tff(3362,plain,
% 11.58/7.83 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3361, 3360])).
% 11.58/7.83 tff(3363,plain,
% 11.58/7.83 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3362, 3358])).
% 11.58/7.83 tff(3364,plain,(
% 11.58/7.83 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3363])).
% 11.58/7.83 tff(3365,plain,
% 11.58/7.83 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3364, 3357])).
% 11.58/7.83 tff(3366,plain,
% 11.58/7.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3367,plain,
% 11.58/7.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3368,plain,
% 11.58/7.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s0, s1)),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3367, 3366])).
% 11.58/7.83 tff(3369,plain,
% 11.58/7.83 (node159(c_s, s0, s1)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3368, 2729, 3365, 49])).
% 11.58/7.83 tff(3370,plain,
% 11.58/7.83 (^[I0: $i, X: $i] : refl(((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3371,plain,
% 11.58/7.83 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3370])).
% 11.58/7.83 tff(3372,plain,
% 11.58/7.83 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3373,axiom,(![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_33')).
% 11.58/7.83 tff(3374,plain,
% 11.58/7.83 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 11.58/7.83 tff(3375,plain,(
% 11.58/7.83 ![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3374])).
% 11.58/7.83 tff(3376,plain,
% 11.58/7.83 (![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3375, 3371])).
% 11.58/7.83 tff(3377,plain,
% 11.58/7.83 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3378,plain,
% 11.58/7.83 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3379,plain,
% 11.58/7.83 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_clockwise)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s0, c_clockwise)) | (~m_state_v_RRM(c_s, s0, c_idle))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 11.58/7.83 tff(3380,plain,
% 11.58/7.83 (~m_state_v_RRM(c_s, s0, c_clockwise)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3379, 3376, 2440])).
% 11.58/7.83 tff(3381,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3382,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3381])).
% 11.58/7.83 tff(3383,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3384,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_171')).
% 11.58/7.83 tff(3385,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 11.58/7.83 tff(3386,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3385])).
% 11.58/7.83 tff(3387,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3386, 3382])).
% 11.58/7.83 tff(3388,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3389,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3390,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~node157(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 11.58/7.83 tff(3391,plain,
% 11.58/7.83 (~node157(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3390, 3387, 3380])).
% 11.58/7.83 tff(3392,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3393,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3392])).
% 11.58/7.83 tff(3394,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3395,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_134')).
% 11.58/7.83 tff(3396,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3395, 3394])).
% 11.58/7.83 tff(3397,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3396])).
% 11.58/7.83 tff(3398,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3397, 3393])).
% 11.58/7.83 tff(3399,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3400,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3401,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node151(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 11.58/7.83 tff(3402,plain,
% 11.58/7.83 (~node151(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3401, 3398, 2485])).
% 11.58/7.83 tff(3403,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3404,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3403])).
% 11.58/7.83 tff(3405,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3406,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_150')).
% 11.58/7.83 tff(3407,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3406, 3405])).
% 11.58/7.83 tff(3408,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3407])).
% 11.58/7.83 tff(3409,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3408, 3404])).
% 11.58/7.83 tff(3410,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3411,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3412,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node154(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 11.58/7.83 tff(3413,plain,
% 11.58/7.83 (~node154(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3412, 3409, 2485])).
% 11.58/7.83 tff(3414,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3415,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3414])).
% 11.58/7.83 tff(3416,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3417,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_137')).
% 11.58/7.83 tff(3418,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 11.58/7.83 tff(3419,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3418])).
% 11.58/7.83 tff(3420,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3419, 3415])).
% 11.58/7.83 tff(3421,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3422,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3423,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node152(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 11.58/7.83 tff(3424,plain,
% 11.58/7.83 (~node152(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3423, 3420, 2507])).
% 11.58/7.83 tff(3425,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3426,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3425])).
% 11.58/7.83 tff(3427,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3428,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_158')).
% 11.58/7.83 tff(3429,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 11.58/7.83 tff(3430,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3429])).
% 11.58/7.83 tff(3431,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3430, 3426])).
% 11.58/7.83 tff(3432,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3433,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3434,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node155(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 11.58/7.83 tff(3435,plain,
% 11.58/7.83 (~node155(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3434, 3431, 2507])).
% 11.58/7.83 tff(3436,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3437,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3436])).
% 11.58/7.83 tff(3438,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3439,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_166')).
% 11.58/7.83 tff(3440,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 11.58/7.83 tff(3441,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3440])).
% 11.58/7.83 tff(3442,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3441, 3437])).
% 11.58/7.83 tff(3443,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3444,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3445,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s0, c_arm1topress) | (~node156(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 11.58/7.83 tff(3446,plain,
% 11.58/7.83 (~node156(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3445, 3442, 2529])).
% 11.58/7.83 tff(3447,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3448,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3447])).
% 11.58/7.83 tff(3449,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3450,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_132')).
% 11.58/7.83 tff(3451,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 11.58/7.83 tff(3452,plain,(
% 11.58/7.83 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.58/7.83 inference(skolemize,[status(sab)],[3451])).
% 11.58/7.83 tff(3453,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3452, 3448])).
% 11.58/7.83 tff(3454,plain,
% 11.58/7.83 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))),
% 11.58/7.83 inference(rewrite,[status(thm)],[])).
% 11.58/7.83 tff(3455,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0)))),
% 11.58/7.83 inference(quant_inst,[status(thm)],[])).
% 11.58/7.83 tff(3456,plain,
% 11.58/7.83 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node150(c_s, s0))),
% 11.58/7.83 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 11.58/7.83 tff(3457,plain,
% 11.58/7.83 (~node150(c_s, s0)),
% 11.58/7.83 inference(unit_resolution,[status(thm)],[3456, 3453, 1387])).
% 11.58/7.83 tff(3458,plain,
% 11.58/7.83 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))))),
% 11.58/7.83 inference(bind,[status(th)],[])).
% 11.58/7.83 tff(3459,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.58/7.83 inference(quant_intro,[status(thm)],[3458])).
% 11.58/7.83 tff(3460,plain,
% 11.58/7.83 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3461,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_141')).
% 11.58/7.84 tff(3462,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 11.58/7.84 tff(3463,plain,(
% 11.58/7.84 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3462])).
% 11.58/7.84 tff(3464,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3463, 3459])).
% 11.58/7.84 tff(3465,plain,
% 11.58/7.84 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node153(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node153(c_s, s0)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3466,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node153(c_s, s0)))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3467,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node153(c_s, s0))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 11.58/7.84 tff(3468,plain,
% 11.58/7.84 (~node153(c_s, s0)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3467, 3464, 1387])).
% 11.58/7.84 tff(3469,plain,
% 11.58/7.84 (^[Y: $i, X: $i, J0: $i] : refl((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3470,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3469])).
% 11.58/7.84 tff(3471,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3472,plain,
% 11.58/7.84 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node150(J0, X) | node151(J0, X)) | node152(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | node157(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X)) | node157(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)) | node158(J0, X, Y)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X)) | node158(J0, X, Y)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)) | (~node159(J0, X, Y))))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3473,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3472])).
% 11.58/7.84 tff(3474,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | node154(J0, X)) | node155(J0, X)) | node156(J0, X)) | node157(J0, X)) | node158(J0, X, Y)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_185')).
% 11.58/7.84 tff(3475,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 11.58/7.84 tff(3476,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3475, 3471])).
% 11.58/7.84 tff(3477,plain,(
% 11.58/7.84 ![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3476])).
% 11.58/7.84 tff(3478,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3477, 3470])).
% 11.58/7.84 tff(3479,plain,
% 11.58/7.84 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3480,plain,
% 11.58/7.84 ((node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))) <=> (node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3481,plain,
% 11.58/7.84 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))))),
% 11.58/7.84 inference(monotonicity,[status(thm)],[3480])).
% 11.58/7.84 tff(3482,plain,
% 11.58/7.84 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.58/7.84 inference(transitivity,[status(thm)],[3481, 3479])).
% 11.58/7.84 tff(3483,plain,
% 11.58/7.84 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s0) | node151(c_s, s0) | node152(c_s, s0) | node153(c_s, s0) | node154(c_s, s0) | node155(c_s, s0) | node156(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1)))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3484,plain,
% 11.58/7.84 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node153(c_s, s0) | node150(c_s, s0) | node156(c_s, s0) | node155(c_s, s0) | node152(c_s, s0) | node154(c_s, s0) | node151(c_s, s0) | node157(c_s, s0) | node158(c_s, s0, s1) | (~node159(c_s, s0, s1))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 11.58/7.84 tff(3485,plain,
% 11.58/7.84 (node158(c_s, s0, s1)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3484, 3478, 3468, 3457, 3446, 3435, 3424, 3413, 3402, 3391, 3369])).
% 11.58/7.84 tff(3486,plain,
% 11.58/7.84 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3487,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3486])).
% 11.58/7.84 tff(3488,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3489,plain,
% 11.58/7.84 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) <=> ((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))), (((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> (((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) | (~node158(J0, X, Y))))), rewrite((((~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V)) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))), (((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3490,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3489])).
% 11.58/7.84 tff(3491,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_RRM(J0, Y, V) | (~m_state_v_RRM(J0, X, V))) | (~node158(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_175')).
% 11.58/7.84 tff(3492,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 11.58/7.84 tff(3493,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3492, 3488])).
% 11.58/7.84 tff(3494,plain,(
% 11.58/7.84 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3493])).
% 11.58/7.84 tff(3495,plain,
% 11.58/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3494, 3487])).
% 11.58/7.84 tff(3496,plain,
% 11.58/7.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3497,plain,
% 11.58/7.84 (((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle)) <=> ((~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3498,plain,
% 11.58/7.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1))))),
% 11.58/7.84 inference(monotonicity,[status(thm)],[3497])).
% 11.58/7.84 tff(3499,plain,
% 11.58/7.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1)))),
% 11.58/7.84 inference(transitivity,[status(thm)],[3498, 3496])).
% 11.58/7.84 tff(3500,plain,
% 11.58/7.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s0, s1)) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3501,plain,
% 11.58/7.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s0, c_idle)) | m_state_v_RRM(c_s, s1, c_idle) | (~node158(c_s, s0, s1))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 11.58/7.84 tff(3502,plain,
% 11.58/7.84 (m_state_v_RRM(c_s, s1, c_idle)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3501, 3495, 2440, 3485])).
% 11.58/7.84 tff(3503,plain,
% 11.58/7.84 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3504,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3503])).
% 11.58/7.84 tff(3505,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3506,plain,
% 11.58/7.84 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3507,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3506])).
% 11.58/7.84 tff(3508,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node145(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_118')).
% 11.58/7.84 tff(3509,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 11.58/7.84 tff(3510,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3509, 3505])).
% 11.58/7.84 tff(3511,plain,(
% 11.58/7.84 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3510])).
% 11.58/7.84 tff(3512,plain,
% 11.58/7.84 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3511, 3504])).
% 11.58/7.84 tff(3513,plain,
% 11.58/7.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3514,plain,
% 11.58/7.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3515,plain,
% 11.58/7.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s0, s1)),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 11.58/7.84 tff(3516,plain,
% 11.58/7.84 (node145(c_s, s0, s1)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3515, 2729, 3512, 49])).
% 11.58/7.84 tff(3517,plain,
% 11.58/7.84 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3518,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3517])).
% 11.58/7.84 tff(3519,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3520,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_108')).
% 11.58/7.84 tff(3521,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 11.58/7.84 tff(3522,plain,(
% 11.58/7.84 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3521])).
% 11.58/7.84 tff(3523,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3522, 3518])).
% 11.58/7.84 tff(3524,plain,
% 11.58/7.84 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3525,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0)))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3526,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node142(c_s, s0))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3525, 3524])).
% 11.58/7.84 tff(3527,plain,
% 11.58/7.84 (~node142(c_s, s0)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3526, 3523, 2838])).
% 11.58/7.84 tff(3528,plain,
% 11.58/7.84 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3529,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3528])).
% 11.58/7.84 tff(3530,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3531,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_111')).
% 11.58/7.84 tff(3532,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 11.58/7.84 tff(3533,plain,(
% 11.58/7.84 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3532])).
% 11.58/7.84 tff(3534,plain,
% 11.58/7.84 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3533, 3529])).
% 11.58/7.84 tff(3535,plain,
% 11.58/7.84 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node143(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node143(c_s, s0)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3536,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~node143(c_s, s0)))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3537,plain,
% 11.58/7.84 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | m_state_v_A1M(c_s, s0, c_extend) | (~node143(c_s, s0))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 11.58/7.84 tff(3538,plain,
% 11.58/7.84 (~node143(c_s, s0)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3537, 3534, 2838])).
% 11.58/7.84 tff(3539,plain,
% 11.58/7.84 (^[Y: $i, X: $i, J0: $i] : refl((node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3540,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3539])).
% 11.58/7.84 tff(3541,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3542,plain,
% 11.58/7.84 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y))), ((((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> ((node143(J0, X) | node142(J0, X) | node144(J0, X, Y)) | (~node145(J0, X, Y))))), rewrite(((node143(J0, X) | node142(J0, X) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))), ((((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))))),
% 11.58/7.84 inference(bind,[status(th)],[])).
% 11.58/7.84 tff(3543,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(quant_intro,[status(thm)],[3542])).
% 11.58/7.84 tff(3544,axiom,(![Y: $i, X: $i, J0: $i] : (((node142(J0, X) | node143(J0, X)) | node144(J0, X, Y)) | (~node145(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_117')).
% 11.58/7.84 tff(3545,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 11.58/7.84 tff(3546,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3545, 3541])).
% 11.58/7.84 tff(3547,plain,(
% 11.58/7.84 ![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(skolemize,[status(sab)],[3546])).
% 11.58/7.84 tff(3548,plain,
% 11.58/7.84 (![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3547, 3540])).
% 11.58/7.84 tff(3549,plain,
% 11.58/7.84 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))),
% 11.58/7.84 inference(rewrite,[status(thm)],[])).
% 11.58/7.84 tff(3550,plain,
% 11.58/7.84 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1)))),
% 11.58/7.84 inference(quant_inst,[status(thm)],[])).
% 11.58/7.84 tff(3551,plain,
% 11.58/7.84 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s0) | node142(c_s, s0) | node144(c_s, s0, s1) | (~node145(c_s, s0, s1))),
% 11.58/7.84 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 11.58/7.84 tff(3552,plain,
% 11.58/7.84 (node144(c_s, s0, s1)),
% 11.58/7.84 inference(unit_resolution,[status(thm)],[3551, 3548, 3538, 3527, 3516])).
% 11.58/7.84 tff(3553,plain,
% 11.58/7.84 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)))),
% 11.59/7.84 inference(bind,[status(th)],[])).
% 11.59/7.84 tff(3554,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(quant_intro,[status(thm)],[3553])).
% 11.59/7.84 tff(3555,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(rewrite,[status(thm)],[])).
% 11.59/7.84 tff(3556,plain,
% 11.59/7.84 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) <=> ((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))), (((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> (((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) | (~node144(J0, X, Y))))), rewrite((((~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V)) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))), (((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))))),
% 11.59/7.84 inference(bind,[status(th)],[])).
% 11.59/7.84 tff(3557,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(quant_intro,[status(thm)],[3556])).
% 11.59/7.84 tff(3558,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_A1Mag(J0, Y, V) | (~m_state_v_A1Mag(J0, X, V))) | (~node144(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_113')).
% 11.59/7.84 tff(3559,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 11.59/7.84 tff(3560,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(modus_ponens,[status(thm)],[3559, 3555])).
% 11.59/7.84 tff(3561,plain,(
% 11.59/7.84 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(skolemize,[status(sab)],[3560])).
% 11.59/7.84 tff(3562,plain,
% 11.59/7.84 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))),
% 11.59/7.84 inference(modus_ponens,[status(thm)],[3561, 3554])).
% 11.59/7.84 tff(3563,plain,
% 11.59/7.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1)))),
% 11.59/7.84 inference(rewrite,[status(thm)],[])).
% 11.59/7.84 tff(3564,plain,
% 11.59/7.84 (((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off)) <=> ((~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1)))),
% 11.59/7.84 inference(rewrite,[status(thm)],[])).
% 11.59/7.84 tff(3565,plain,
% 11.59/7.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1))))),
% 11.59/7.85 inference(monotonicity,[status(thm)],[3564])).
% 11.59/7.85 tff(3566,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1)))),
% 11.59/7.85 inference(transitivity,[status(thm)],[3565, 3563])).
% 11.59/7.85 tff(3567,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s0, s1)) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3568,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | m_state_v_A1Mag(c_s, s1, c_off) | (~node144(c_s, s0, s1))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 11.59/7.85 tff(3569,plain,
% 11.59/7.85 (m_state_v_A1Mag(c_s, s1, c_off)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3568, 3562, 2754, 3552])).
% 11.59/7.85 tff(3570,plain,
% 11.59/7.85 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3571,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3570])).
% 11.59/7.85 tff(3572,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3573,plain,
% 11.59/7.85 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3574,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3573])).
% 11.59/7.85 tff(3575,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node36(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_57')).
% 11.59/7.85 tff(3576,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 11.59/7.85 tff(3577,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3576, 3572])).
% 11.59/7.85 tff(3578,plain,(
% 11.59/7.85 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3577])).
% 11.59/7.85 tff(3579,plain,
% 11.59/7.85 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3578, 3571])).
% 11.59/7.85 tff(3580,plain,
% 11.59/7.85 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3581,plain,
% 11.59/7.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3582,plain,
% 11.59/7.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s0, s1)),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3581, 3580])).
% 11.59/7.85 tff(3583,plain,
% 11.59/7.85 (node36(c_s, s0, s1)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3582, 62, 3579, 49])).
% 11.59/7.85 tff(3584,plain,
% 11.59/7.85 (^[X: $i, J0: $i] : refl(((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3585,plain,
% 11.59/7.85 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3584])).
% 11.59/7.85 tff(3586,plain,
% 11.59/7.85 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3587,plain,
% 11.59/7.85 (^[X: $i, J0: $i] : rewrite((m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X))) <=> ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress)))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3588,plain,
% 11.59/7.85 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X))) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3587])).
% 11.59/7.85 tff(3589,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node33(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_48')).
% 11.59/7.85 tff(3590,plain,
% 11.59/7.85 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 11.59/7.85 tff(3591,plain,
% 11.59/7.85 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3590, 3586])).
% 11.59/7.85 tff(3592,plain,(
% 11.59/7.85 ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3591])).
% 11.59/7.85 tff(3593,plain,
% 11.59/7.85 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3592, 3585])).
% 11.59/7.85 tff(3594,plain,
% 11.59/7.85 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm2topress))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3595,plain,
% 11.59/7.85 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm2topress))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3596,plain,
% 11.59/7.85 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s0)) | m_state_v_angle(c_s, s0, c_arm2topress)),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 11.59/7.85 tff(3597,plain,
% 11.59/7.85 (~node33(c_s, s0)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3596, 3593, 2485])).
% 11.59/7.85 tff(3598,plain,
% 11.59/7.85 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3599,plain,
% 11.59/7.85 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3598])).
% 11.59/7.85 tff(3600,plain,
% 11.59/7.85 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3601,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_50')).
% 11.59/7.85 tff(3602,plain,
% 11.59/7.85 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 11.59/7.85 tff(3603,plain,(
% 11.59/7.85 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3602])).
% 11.59/7.85 tff(3604,plain,
% 11.59/7.85 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3603, 3599])).
% 11.59/7.85 tff(3605,plain,
% 11.59/7.85 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3606,plain,
% 11.59/7.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0)))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3607,plain,
% 11.59/7.85 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~node34(c_s, s0))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 11.59/7.85 tff(3608,plain,
% 11.59/7.85 (~node34(c_s, s0)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3607, 3604, 2507])).
% 11.59/7.85 tff(3609,plain,
% 11.59/7.85 (^[I0: $i, X: $i] : refl(((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3610,plain,
% 11.59/7.85 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3609])).
% 11.59/7.85 tff(3611,plain,
% 11.59/7.85 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3612,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_10')).
% 11.59/7.85 tff(3613,plain,
% 11.59/7.85 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3612, 3611])).
% 11.59/7.85 tff(3614,plain,(
% 11.59/7.85 ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3613])).
% 11.59/7.85 tff(3615,plain,
% 11.59/7.85 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3614, 3610])).
% 11.59/7.85 tff(3616,plain,
% 11.59/7.85 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3617,plain,
% 11.59/7.85 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3618,plain,
% 11.59/7.85 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_retract)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_retract)) | (~m_state_v_A2M(c_s, s0, c_idle))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 11.59/7.85 tff(3619,plain,
% 11.59/7.85 (~m_state_v_A2M(c_s, s0, c_retract)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3618, 3615, 2763])).
% 11.59/7.85 tff(3620,plain,
% 11.59/7.85 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3621,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3620])).
% 11.59/7.85 tff(3622,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3623,plain,
% 11.59/7.85 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X))), ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) <=> ((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X)) | node35(J0, X, Y)))), rewrite(((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X)) | node35(J0, X, Y)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y))), ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)))), (((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> ((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)) | (~node36(J0, X, Y))))), rewrite(((m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))), (((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3624,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3623])).
% 11.59/7.85 tff(3625,axiom,(![Y: $i, X: $i, J0: $i] : ((((node33(J0, X) | node34(J0, X)) | m_state_v_A2M(J0, X, c_retract)) | node35(J0, X, Y)) | (~node36(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_56')).
% 11.59/7.85 tff(3626,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 11.59/7.85 tff(3627,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3626, 3622])).
% 11.59/7.85 tff(3628,plain,(
% 11.59/7.85 ![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3627])).
% 11.59/7.85 tff(3629,plain,
% 11.59/7.85 (![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3628, 3621])).
% 11.59/7.85 tff(3630,plain,
% 11.59/7.85 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3631,plain,
% 11.59/7.85 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1)))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3632,plain,
% 11.59/7.85 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s0, c_retract) | node34(c_s, s0) | node33(c_s, s0) | node35(c_s, s0, s1) | (~node36(c_s, s0, s1))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 11.59/7.85 tff(3633,plain,
% 11.59/7.85 (node35(c_s, s0, s1)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3632, 3629, 3619, 3608, 3597, 3583])).
% 11.59/7.85 tff(3634,plain,
% 11.59/7.85 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3635,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3634])).
% 11.59/7.85 tff(3636,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3637,plain,
% 11.59/7.85 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) <=> ((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))), (((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> (((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) | (~node35(J0, X, Y))))), rewrite((((~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V)) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))), (((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3638,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3637])).
% 11.59/7.85 tff(3639,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a2ext(J0, Y, V) | (~m_state_v_a2ext(J0, X, V))) | (~node35(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_51')).
% 11.59/7.85 tff(3640,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 11.59/7.85 tff(3641,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3640, 3636])).
% 11.59/7.85 tff(3642,plain,(
% 11.59/7.85 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3641])).
% 11.59/7.85 tff(3643,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3642, 3635])).
% 11.59/7.85 tff(3644,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3645,plain,
% 11.59/7.85 (((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted)) <=> (m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3646,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1))))),
% 11.59/7.85 inference(monotonicity,[status(thm)],[3645])).
% 11.59/7.85 tff(3647,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1)))),
% 11.59/7.85 inference(transitivity,[status(thm)],[3646, 3644])).
% 11.59/7.85 tff(3648,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s0, s1)) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3649,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s1, c_retracted) | (~m_state_v_a2ext(c_s, s0, c_retracted)) | (~node35(c_s, s0, s1))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 11.59/7.85 tff(3650,plain,
% 11.59/7.85 (m_state_v_a2ext(c_s, s1, c_retracted)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3649, 3643, 2772, 3633])).
% 11.59/7.85 tff(3651,plain,
% 11.59/7.85 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3652,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3651])).
% 11.59/7.85 tff(3653,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3654,plain,
% 11.59/7.85 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) <=> ((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))), (((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) | (~node31(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V)) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))), (((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))))),
% 11.59/7.85 inference(bind,[status(th)],[])).
% 11.59/7.85 tff(3655,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(quant_intro,[status(thm)],[3654])).
% 11.59/7.85 tff(3656,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_a1ext(J0, Y, V) | (~m_state_v_a1ext(J0, X, V))) | (~node31(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_40')).
% 11.59/7.85 tff(3657,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 11.59/7.85 tff(3658,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3657, 3653])).
% 11.59/7.85 tff(3659,plain,(
% 11.59/7.85 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(skolemize,[status(sab)],[3658])).
% 11.59/7.85 tff(3660,plain,
% 11.59/7.85 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3659, 3652])).
% 11.59/7.85 tff(3661,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3662,plain,
% 11.59/7.85 (((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted)) <=> (m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1)))),
% 11.59/7.85 inference(rewrite,[status(thm)],[])).
% 11.59/7.85 tff(3663,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1))))),
% 11.59/7.85 inference(monotonicity,[status(thm)],[3662])).
% 11.59/7.85 tff(3664,plain,
% 11.59/7.85 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1)))),
% 11.59/7.85 inference(transitivity,[status(thm)],[3663, 3661])).
% 11.59/7.85 tff(3665,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s0, s1)) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | m_state_v_a1ext(c_s, s1, c_retracted))),
% 11.59/7.85 inference(quant_inst,[status(thm)],[])).
% 11.59/7.85 tff(3666,plain,
% 11.59/7.85 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | m_state_v_a1ext(c_s, s1, c_retracted) | (~m_state_v_a1ext(c_s, s0, c_retracted)) | (~node31(c_s, s0, s1))),
% 11.59/7.85 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 11.59/7.85 tff(3667,plain,
% 11.59/7.85 (m_state_v_a1ext(c_s, s1, c_retracted)),
% 11.59/7.85 inference(unit_resolution,[status(thm)],[3666, 3660, 2781, 3047])).
% 11.59/7.85 tff(3668,plain,
% 11.59/7.85 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3669,plain,
% 11.59/7.86 (((~m_state_v_tl(c_s, s1)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node131(c_s, s1, s2)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle))) <=> ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3670,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s1)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node131(c_s, s1, s2)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1))))),
% 11.59/7.86 inference(monotonicity,[status(thm)],[3669])).
% 11.59/7.86 tff(3671,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s1)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node131(c_s, s1, s2)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1)))),
% 11.59/7.86 inference(transitivity,[status(thm)],[3670, 3668])).
% 11.59/7.86 tff(3672,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s1)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node131(c_s, s1, s2)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_A1M(c_s, s1, c_idle)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3673,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~node131(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 11.59/7.86 tff(3674,plain,
% 11.59/7.86 ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~m_state_v_tl(c_s, s1))),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3673, 2791, 3132])).
% 11.59/7.86 tff(3675,plain,
% 11.59/7.86 ((~m_state_v_a1ext(c_s, s1, c_retracted)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~m_state_v_a2ext(c_s, s1, c_retracted))),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3674, 1455])).
% 11.59/7.86 tff(3676,plain,
% 11.59/7.86 (m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~m_state_v_A2Mag(c_s, s1, c_off)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1)) | (~m_state_v_A2M(c_s, s1, c_idle))),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3675, 3667, 2673, 3650])).
% 11.59/7.86 tff(3677,plain,
% 11.59/7.86 (m_state_v_A1M(c_s, s2, c_extend) | (~m_state_v_A1M(c_s, s1, c_idle)) | (~m_state_v_topPos(c_s, s1)) | (~m_state_v_maxRot(c_s, s1))),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3676, 3569, 3502, 3355, 3285])).
% 11.59/7.86 tff(3678,plain,
% 11.59/7.86 ($false),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3677, 3149, 3145, 2972, 2951])).
% 11.59/7.86 tff(3679,plain,(m_state_v_tl(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 11.59/7.86 tff(3680,plain,
% 11.59/7.86 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node183(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node183(c_s, s3)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3681,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node183(c_s, s3)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3682,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node183(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node183(c_s, s3))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3681, 3680])).
% 11.59/7.86 tff(3683,plain,
% 11.59/7.86 (~node183(c_s, s3)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3682, 1301, 3679])).
% 11.59/7.86 tff(3684,plain,
% 11.59/7.86 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3685,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3686,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node182(c_s, s3))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 11.59/7.86 tff(3687,plain,
% 11.59/7.86 (~node182(c_s, s3)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3686, 1281, 1624])).
% 11.59/7.86 tff(3688,plain,
% 11.59/7.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3689,plain,
% 11.59/7.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3690,plain,
% 11.59/7.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s3, s4)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s3, s4)),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 11.59/7.86 tff(3691,plain,
% 11.59/7.86 (node185(c_s, s3, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3690, 1247, 1244, 911])).
% 11.59/7.86 tff(3692,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3693,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3694,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4) | (~node185(c_s, s3, s4))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3693, 3692])).
% 11.59/7.86 tff(3695,plain,
% 11.59/7.86 (node182(c_s, s3) | node183(c_s, s3) | node184(c_s, s3, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3694, 1315, 3691])).
% 11.59/7.86 tff(3696,plain,
% 11.59/7.86 (node183(c_s, s3) | node184(c_s, s3, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3695, 3687])).
% 11.59/7.86 tff(3697,plain,
% 11.59/7.86 (node184(c_s, s3, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3696, 3683])).
% 11.59/7.86 tff(3698,plain,
% 11.59/7.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3699,plain,
% 11.59/7.86 (((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on))) <=> ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3700,plain,
% 11.59/7.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4))))),
% 11.59/7.86 inference(monotonicity,[status(thm)],[3699])).
% 11.59/7.86 tff(3701,plain,
% 11.59/7.86 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4)))),
% 11.59/7.86 inference(transitivity,[status(thm)],[3700, 3698])).
% 11.59/7.86 tff(3702,plain,
% 11.59/7.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s3, s4)) | m_state_v_FBM(c_s, s3, c_on) | (~m_state_v_FBM(c_s, s4, c_on)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3703,plain,
% 11.59/7.86 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (~m_state_v_FBM(c_s, s4, c_on)) | m_state_v_FBM(c_s, s3, c_on) | (~node184(c_s, s3, s4))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 11.59/7.86 tff(3704,plain,
% 11.59/7.86 (~m_state_v_FBM(c_s, s4, c_on)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3703, 1332, 3697, 1624])).
% 11.59/7.86 tff(3705,plain,
% 11.59/7.86 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3706,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3707,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node13(c_s, s4))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 11.59/7.86 tff(3708,plain,
% 11.59/7.86 (~node13(c_s, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3707, 1631, 3704])).
% 11.59/7.86 tff(3709,plain,
% 11.59/7.86 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s4)) | m_state_v_CMag(c_s, s4, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s4)) | m_state_v_CMag(c_s, s4, c_off))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3710,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s4)) | m_state_v_CMag(c_s, s4, c_off))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3711,plain,
% 11.59/7.86 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s4)) | m_state_v_CMag(c_s, s4, c_off)),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 11.59/7.86 tff(3712,plain,
% 11.59/7.86 (~node14(c_s, s4)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3711, 1712, 2021])).
% 11.59/7.86 tff(3713,plain,
% 11.59/7.86 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3714,plain,
% 11.59/7.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3715,plain,
% 11.59/7.86 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)) | node16(c_s, s4, s5)),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 11.59/7.86 tff(3716,plain,
% 11.59/7.86 (node16(c_s, s4, s5)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3715, 1360, 1645, 1043])).
% 11.59/7.86 tff(3717,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3718,plain,
% 11.59/7.86 ((node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5))) <=> (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3719,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5)))),
% 11.59/7.86 inference(monotonicity,[status(thm)],[3718])).
% 11.59/7.86 tff(3720,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5))),
% 11.59/7.86 inference(transitivity,[status(thm)],[3719, 3717])).
% 11.59/7.86 tff(3721,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s4) | node14(c_s, s4) | node15(c_s, s4, s5) | (~node16(c_s, s4, s5)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3722,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s4) | node13(c_s, s4) | (~node16(c_s, s4, s5)) | node15(c_s, s4, s5)),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 11.59/7.86 tff(3723,plain,
% 11.59/7.86 (node14(c_s, s4) | node13(c_s, s4) | node15(c_s, s4, s5)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3722, 1659, 3716])).
% 11.59/7.86 tff(3724,plain,
% 11.59/7.86 (node13(c_s, s4) | node15(c_s, s4, s5)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3723, 3712])).
% 11.59/7.86 tff(3725,plain,
% 11.59/7.86 (node15(c_s, s4, s5)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3724, 3708])).
% 11.59/7.86 tff(3726,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3727,plain,
% 11.59/7.86 (((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5))) <=> (m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5)))),
% 11.59/7.86 inference(rewrite,[status(thm)],[])).
% 11.59/7.86 tff(3728,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5))))),
% 11.59/7.86 inference(monotonicity,[status(thm)],[3727])).
% 11.59/7.86 tff(3729,plain,
% 11.59/7.86 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5)))),
% 11.59/7.86 inference(transitivity,[status(thm)],[3728, 3726])).
% 11.59/7.86 tff(3730,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s4, s5)) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)))),
% 11.59/7.86 inference(quant_inst,[status(thm)],[])).
% 11.59/7.86 tff(3731,plain,
% 11.59/7.86 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s4) | (~m_state_v_ff(c_s, s5)) | (~node15(c_s, s4, s5))),
% 11.59/7.86 inference(modus_ponens,[status(thm)],[3730, 3729])).
% 11.59/7.86 tff(3732,plain,
% 11.59/7.86 (~m_state_v_ff(c_s, s5)),
% 11.59/7.86 inference(unit_resolution,[status(thm)],[3731, 1734, 1786, 3725])).
% 11.59/7.86 tff(3733,plain,
% 11.59/7.86 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3734,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s5) | (~node94(c_s, s5)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3735,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s5) | (~node94(c_s, s5))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 11.59/7.87 tff(3736,plain,
% 11.59/7.87 (~node94(c_s, s5)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3735, 1793, 3732])).
% 11.59/7.87 tff(3737,plain,
% 11.59/7.87 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3738,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s5) | (~node96(c_s, s5)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3739,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s5) | (~node96(c_s, s5))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 11.59/7.87 tff(3740,plain,
% 11.59/7.87 (~node96(c_s, s5)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3739, 1201, 1110])).
% 11.59/7.87 tff(3741,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3742,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3741])).
% 11.59/7.87 tff(3743,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3744,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_195')).
% 11.59/7.87 tff(3745,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 11.59/7.87 tff(3746,plain,(
% 11.59/7.87 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3745])).
% 11.59/7.87 tff(3747,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3746, 3742])).
% 11.59/7.87 tff(3748,plain,
% 11.59/7.87 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3749,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3750,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovf) | (~node84(c_s, s3))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 11.59/7.87 tff(3751,plain,
% 11.59/7.87 (~node84(c_s, s3)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3750, 3747, 797])).
% 11.59/7.87 tff(3752,plain,
% 11.59/7.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3753,plain,
% 11.59/7.87 (((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd)) <=> ((~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3754,plain,
% 11.59/7.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3))))),
% 11.59/7.87 inference(monotonicity,[status(thm)],[3753])).
% 11.59/7.87 tff(3755,plain,
% 11.59/7.87 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3)))),
% 11.59/7.87 inference(transitivity,[status(thm)],[3754, 3752])).
% 11.59/7.87 tff(3756,plain,
% 11.59/7.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s2, s3)) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3757,plain,
% 11.59/7.87 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s2, c_sd)) | m_state_v_gvp(c_s, s3, c_sd) | (~node81(c_s, s2, s3))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 11.59/7.87 tff(3758,plain,
% 11.59/7.87 (m_state_v_gvp(c_s, s3, c_sd)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3757, 697, 749, 790])).
% 11.59/7.87 tff(3759,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : refl((m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3760,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3759])).
% 11.59/7.87 tff(3761,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3762,axiom,(![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_193')).
% 11.59/7.87 tff(3763,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 11.59/7.87 tff(3764,plain,(
% 11.59/7.87 ![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3763])).
% 11.59/7.87 tff(3765,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3764, 3760])).
% 11.59/7.87 tff(3766,plain,
% 11.59/7.87 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3767,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3768,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s3, c_ovb) | (~node83(c_s, s3))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 11.59/7.87 tff(3769,plain,
% 11.59/7.87 (~node83(c_s, s3)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3768, 3765, 949])).
% 11.59/7.87 tff(3770,plain,
% 11.59/7.87 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3771,plain,
% 11.59/7.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3772,plain,
% 11.59/7.87 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s3, s4)),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 11.59/7.87 tff(3773,plain,
% 11.59/7.87 (node87(c_s, s3, s4)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3772, 62, 714, 911])).
% 11.59/7.87 tff(3774,plain,
% 11.59/7.87 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3775,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3774])).
% 11.59/7.87 tff(3776,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3777,plain,
% 11.59/7.87 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) <=> ((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X))), ((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) <=> (((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))))), rewrite((((~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X))), ((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)))), (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))), (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)))), ((((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> (((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))))), rewrite((((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))), ((((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3778,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3777])).
% 11.59/7.87 tff(3779,axiom,(![Y: $i, X: $i, J0: $i] : (((((node83(J0, X) | node84(J0, X)) | (~m_state_v_CVM(J0, X, c_idle))) | (~m_state_v_gvp(J0, X, c_sd))) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd)) | (~node87(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_202')).
% 11.59/7.87 tff(3780,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 11.59/7.87 tff(3781,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3780, 3776])).
% 11.59/7.87 tff(3782,plain,(
% 11.59/7.87 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3781])).
% 11.59/7.87 tff(3783,plain,
% 11.59/7.87 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3782, 3775])).
% 11.59/7.87 tff(3784,plain,
% 11.59/7.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3785,plain,
% 11.59/7.87 (((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3786,plain,
% 11.59/7.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(monotonicity,[status(thm)],[3785])).
% 11.59/7.87 tff(3787,plain,
% 11.59/7.87 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(transitivity,[status(thm)],[3786, 3784])).
% 11.59/7.87 tff(3788,plain,
% 11.59/7.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | (~m_state_v_CVM(c_s, s3, c_idle)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3789,plain,
% 11.59/7.87 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~node87(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 11.59/7.87 tff(3790,plain,
% 11.59/7.87 ((~m_state_v_gvp(c_s, s3, c_sd)) | node83(c_s, s3) | node84(c_s, s3) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3789, 3783, 3773])).
% 11.59/7.87 tff(3791,plain,
% 11.59/7.87 (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3790, 3769, 889, 3758, 3751])).
% 11.59/7.87 tff(3792,plain,
% 11.59/7.87 (^[I0: $i, X: $i] : refl(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3793,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3792])).
% 11.59/7.87 tff(3794,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3795,axiom,(![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_67')).
% 11.59/7.87 tff(3796,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 11.59/7.87 tff(3797,plain,(
% 11.59/7.87 ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3796])).
% 11.59/7.87 tff(3798,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3797, 3793])).
% 11.59/7.87 tff(3799,plain,
% 11.59/7.87 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3800,plain,
% 11.59/7.87 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3801,plain,
% 11.59/7.87 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 11.59/7.87 tff(3802,plain,
% 11.59/7.87 (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3801, 3798, 3791])).
% 11.59/7.87 tff(3803,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : refl(((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3804,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3803])).
% 11.59/7.87 tff(3805,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3806,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : rewrite((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X))) <=> ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf)))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3807,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X))) <=> ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3806])).
% 11.59/7.87 tff(3808,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node79(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_179')).
% 11.59/7.87 tff(3809,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3808, 3807])).
% 11.59/7.87 tff(3810,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3809, 3805])).
% 11.59/7.87 tff(3811,plain,(
% 11.59/7.87 ![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3810])).
% 11.59/7.87 tff(3812,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3811, 3804])).
% 11.59/7.87 tff(3813,plain,
% 11.59/7.87 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3814,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3815,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf)),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 11.59/7.87 tff(3816,plain,
% 11.59/7.87 (~node79(c_s, s4)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3815, 3812, 3802])).
% 11.59/7.87 tff(3817,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : refl((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3818,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3817])).
% 11.59/7.87 tff(3819,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3820,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_182')).
% 11.59/7.87 tff(3821,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 11.59/7.87 tff(3822,plain,(
% 11.59/7.87 ![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3821])).
% 11.59/7.87 tff(3823,plain,
% 11.59/7.87 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3822, 3818])).
% 11.59/7.87 tff(3824,plain,
% 11.59/7.87 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~node80(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~node80(c_s, s4)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3825,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~node80(c_s, s4)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3826,plain,
% 11.59/7.87 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovf) | (~node80(c_s, s4))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 11.59/7.87 tff(3827,plain,
% 11.59/7.87 (~node80(c_s, s4)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3826, 3823, 3802])).
% 11.59/7.87 tff(3828,plain,
% 11.59/7.87 (^[I0: $i, X: $i] : refl(((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3829,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3828])).
% 11.59/7.87 tff(3830,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd))) <=> ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3831,axiom,(![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_68')).
% 11.59/7.87 tff(3832,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 11.59/7.87 tff(3833,plain,(
% 11.59/7.87 ![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(skolemize,[status(sab)],[3832])).
% 11.59/7.87 tff(3834,plain,
% 11.59/7.87 (![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3833, 3829])).
% 11.59/7.87 tff(3835,plain,
% 11.59/7.87 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(rewrite,[status(thm)],[])).
% 11.59/7.87 tff(3836,plain,
% 11.59/7.87 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd)))),
% 11.59/7.87 inference(quant_inst,[status(thm)],[])).
% 11.59/7.87 tff(3837,plain,
% 11.59/7.87 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_sd))),
% 11.59/7.87 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 11.59/7.87 tff(3838,plain,
% 11.59/7.87 (~m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)),
% 11.59/7.87 inference(unit_resolution,[status(thm)],[3837, 3834, 3791])).
% 11.59/7.87 tff(3839,plain,
% 11.59/7.87 (^[X: $i, J0: $i] : refl(((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)))),
% 11.59/7.87 inference(bind,[status(th)],[])).
% 11.59/7.87 tff(3840,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.87 inference(quant_intro,[status(thm)],[3839])).
% 11.59/7.87 tff(3841,plain,
% 11.59/7.87 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3842,plain,
% 11.59/7.88 (^[X: $i, J0: $i] : rewrite((m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X))) <=> ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb)))),
% 11.59/7.88 inference(bind,[status(th)],[])).
% 11.59/7.88 tff(3843,plain,
% 11.59/7.88 (![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X))) <=> ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(quant_intro,[status(thm)],[3842])).
% 11.59/7.88 tff(3844,axiom,(![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb) | (~node77(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_173')).
% 11.59/7.88 tff(3845,plain,
% 11.59/7.88 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 11.59/7.88 tff(3846,plain,
% 11.59/7.88 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3845, 3841])).
% 11.59/7.88 tff(3847,plain,(
% 11.59/7.88 ![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(skolemize,[status(sab)],[3846])).
% 11.59/7.88 tff(3848,plain,
% 11.59/7.88 (![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3847, 3840])).
% 11.59/7.88 tff(3849,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3850,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3851,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s4)) | m_state_v_gripper_status(c_s, s4, c_gripperstoppedat_ovb)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3850, 3849])).
% 11.59/7.88 tff(3852,plain,
% 11.59/7.88 (~node77(c_s, s4)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3851, 3848, 3838])).
% 11.59/7.88 tff(3853,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3854,plain,
% 11.59/7.88 (((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down))) <=> (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3855,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4))))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3854])).
% 11.59/7.88 tff(3856,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4)))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3855, 3853])).
% 11.59/7.88 tff(3857,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s3, s4)) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3858,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s3, c_down) | (~m_state_v_CVM(c_s, s4, c_down)) | (~node98(c_s, s3, s4))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 11.59/7.88 tff(3859,plain,
% 11.59/7.88 (~m_state_v_CVM(c_s, s4, c_down)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3858, 662, 1136, 1003])).
% 11.59/7.88 tff(3860,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3861,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3862,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s4)) | m_state_v_CVM(c_s, s4, c_down)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 11.59/7.88 tff(3863,plain,
% 11.59/7.88 (~node78(c_s, s4)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3862, 679, 3859])).
% 11.59/7.88 tff(3864,plain,
% 11.59/7.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3865,plain,
% 11.59/7.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3866,plain,
% 11.59/7.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s4, s5)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 11.59/7.88 tff(3867,plain,
% 11.59/7.88 (node82(c_s, s4, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3866, 62, 313, 1043])).
% 11.59/7.88 tff(3868,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3869,plain,
% 11.59/7.88 ((node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5))) <=> (node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3870,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4)))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3869])).
% 11.59/7.88 tff(3871,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3870, 3868])).
% 11.59/7.88 tff(3872,plain,
% 11.59/7.88 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s4) | node78(c_s, s4) | node79(c_s, s4) | node80(c_s, s4) | node81(c_s, s4, s5) | (~node82(c_s, s4, s5)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3873,plain,
% 11.59/7.88 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s4) | node77(c_s, s4) | (~node82(c_s, s4, s5)) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 11.59/7.88 tff(3874,plain,
% 11.59/7.88 (node80(c_s, s4) | node77(c_s, s4) | node81(c_s, s4, s5) | node78(c_s, s4) | node79(c_s, s4)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3873, 405, 3867])).
% 11.59/7.88 tff(3875,plain,
% 11.59/7.88 (node81(c_s, s4, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3874, 3863, 3852, 3827, 3816])).
% 11.59/7.88 tff(3876,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3877,plain,
% 11.59/7.88 (((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf))) <=> (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3878,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5))))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3877])).
% 11.59/7.88 tff(3879,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3878, 3876])).
% 11.59/7.88 tff(3880,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3881,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~m_state_v_gvp(c_s, s5, c_ovf)) | (~node81(c_s, s4, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 11.59/7.88 tff(3882,plain,
% 11.59/7.88 (~m_state_v_gvp(c_s, s5, c_ovf)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3881, 422, 1167, 3875])).
% 11.59/7.88 tff(3883,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node95(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node95(c_s, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3884,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node95(c_s, s5)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3885,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node95(c_s, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 11.59/7.88 tff(3886,plain,
% 11.59/7.88 (~node95(c_s, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3885, 608, 3882])).
% 11.59/7.88 tff(3887,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3888,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3889,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s5, c_up) | (~node93(c_s, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 11.59/7.88 tff(3890,plain,
% 11.59/7.88 (~node93(c_s, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3889, 964, 1819])).
% 11.59/7.88 tff(3891,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3892,plain,
% 11.59/7.88 (((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb))) <=> (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3893,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5))))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3892])).
% 11.59/7.88 tff(3894,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5)))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3893, 3891])).
% 11.59/7.88 tff(3895,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s4, s5)) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3896,plain,
% 11.59/7.88 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~m_state_v_gvp(c_s, s5, c_ovb)) | (~node81(c_s, s4, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 11.59/7.88 tff(3897,plain,
% 11.59/7.88 (~m_state_v_gvp(c_s, s5, c_ovb)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3896, 422, 1212, 3875])).
% 11.59/7.88 tff(3898,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3899,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3900,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node97(c_s, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3899, 3898])).
% 11.59/7.88 tff(3901,plain,
% 11.59/7.88 (~node97(c_s, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3900, 990, 3897])).
% 11.59/7.88 tff(3902,plain,
% 11.59/7.88 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3903,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3904,plain,
% 11.59/7.88 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node92(c_s, s5))),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 11.59/7.88 tff(3905,plain,
% 11.59/7.88 (~node92(c_s, s5)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3904, 868, 3897])).
% 11.59/7.88 tff(3906,plain,
% 11.59/7.88 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3907,plain,
% 11.59/7.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3908,plain,
% 11.59/7.88 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s5, s6)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 11.59/7.88 tff(3909,plain,
% 11.59/7.88 (node99(c_s, s5, s6)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3908, 27, 536, 14])).
% 11.59/7.88 tff(3910,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3911,plain,
% 11.59/7.88 ((node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6))) <=> (node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3912,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6)))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3911])).
% 11.59/7.88 tff(3913,plain,
% 11.59/7.88 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3912, 3910])).
% 11.59/7.88 tff(3914,plain,
% 11.59/7.88 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s5) | node93(c_s, s5) | node94(c_s, s5) | node95(c_s, s5) | node96(c_s, s5) | node97(c_s, s5) | node98(c_s, s5, s6) | (~node99(c_s, s5, s6)))),
% 11.59/7.88 inference(quant_inst,[status(thm)],[])).
% 11.59/7.88 tff(3915,plain,
% 11.59/7.88 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | (~node99(c_s, s5, s6)) | node98(c_s, s5, s6)),
% 11.59/7.88 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 11.59/7.88 tff(3916,plain,
% 11.59/7.88 (node97(c_s, s5) | node96(c_s, s5) | node92(c_s, s5) | node94(c_s, s5) | node93(c_s, s5) | node95(c_s, s5) | node98(c_s, s5, s6)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3915, 644, 3909])).
% 11.59/7.88 tff(3917,plain,
% 11.59/7.88 (node96(c_s, s5) | node94(c_s, s5) | node98(c_s, s5, s6)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3916, 3905, 3901, 3890, 3886])).
% 11.59/7.88 tff(3918,plain,
% 11.59/7.88 (node98(c_s, s5, s6)),
% 11.59/7.88 inference(unit_resolution,[status(thm)],[3917, 3740, 3736])).
% 11.59/7.88 tff(3919,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3920,plain,
% 11.59/7.88 (((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down))) <=> (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 11.59/7.88 inference(rewrite,[status(thm)],[])).
% 11.59/7.88 tff(3921,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5))))),
% 11.59/7.88 inference(monotonicity,[status(thm)],[3920])).
% 11.59/7.88 tff(3922,plain,
% 11.59/7.88 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5)))),
% 11.59/7.88 inference(transitivity,[status(thm)],[3921, 3919])).
% 11.59/7.88 tff(3923,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s4, s5)) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3924,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s4, c_down) | (~m_state_v_CVM(c_s, s5, c_down)) | (~node98(c_s, s4, s5))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 11.59/7.89 tff(3925,plain,
% 11.59/7.89 (~m_state_v_CVM(c_s, s5, c_down)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3924, 662, 3859, 1812])).
% 11.59/7.89 tff(3926,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3927,plain,
% 11.59/7.89 (((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down))) <=> ((~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3928,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6))))),
% 11.59/7.89 inference(monotonicity,[status(thm)],[3927])).
% 11.59/7.89 tff(3929,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(transitivity,[status(thm)],[3928, 3926])).
% 11.59/7.89 tff(3930,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_down) | (~m_state_v_CVM(c_s, s6, c_down)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3931,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (~m_state_v_CVM(c_s, s6, c_down)) | m_state_v_CVM(c_s, s5, c_down) | (~node98(c_s, s5, s6))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 11.59/7.89 tff(3932,plain,
% 11.59/7.89 (~m_state_v_CVM(c_s, s6, c_down)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3931, 662, 3925, 3918])).
% 11.59/7.89 tff(3933,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3934,plain,
% 11.59/7.89 (((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up))) <=> (m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3935,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6))))),
% 11.59/7.89 inference(monotonicity,[status(thm)],[3934])).
% 11.59/7.89 tff(3936,plain,
% 11.59/7.89 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6)))),
% 11.59/7.89 inference(transitivity,[status(thm)],[3935, 3933])).
% 11.59/7.89 tff(3937,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s5, s6)) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3938,plain,
% 11.59/7.89 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s5, c_up) | (~m_state_v_CVM(c_s, s6, c_up)) | (~node98(c_s, s5, s6))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 11.59/7.89 tff(3939,plain,
% 11.59/7.89 (~m_state_v_CVM(c_s, s6, c_up)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3938, 662, 1819, 3918])).
% 11.59/7.89 tff(3940,plain,
% 11.59/7.89 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3941,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3942,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node93(c_s, s6))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 11.59/7.89 tff(3943,plain,
% 11.59/7.89 (~node93(c_s, s6)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3942, 964, 3939])).
% 11.59/7.89 tff(3944,plain,
% 11.59/7.89 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3945,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3946,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node182(c_s, s4))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3945, 3944])).
% 11.59/7.89 tff(3947,plain,
% 11.59/7.89 (~node182(c_s, s4)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3946, 1281, 3704])).
% 11.59/7.89 tff(3948,assumption,(m_state_v_maxRot(c_s, s0)), introduced(assumption)).
% 11.59/7.89 tff(3949,plain,
% 11.59/7.89 (^[I0: $i] : refl((~m_state_v_maxRot(I0, s0)) <=> (~m_state_v_maxRot(I0, s0)))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3950,plain,
% 11.59/7.89 (![I0: $i] : (~m_state_v_maxRot(I0, s0)) <=> ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3949])).
% 11.59/7.89 tff(3951,plain,
% 11.59/7.89 (![I0: $i] : (~m_state_v_maxRot(I0, s0)) <=> ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3952,axiom,(![I0: $i] : (~m_state_v_maxRot(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_85')).
% 11.59/7.89 tff(3953,plain,
% 11.59/7.89 (![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 11.59/7.89 tff(3954,plain,(
% 11.59/7.89 ![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.59/7.89 inference(skolemize,[status(sab)],[3953])).
% 11.59/7.89 tff(3955,plain,
% 11.59/7.89 (![I0: $i] : (~m_state_v_maxRot(I0, s0))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3954, 3950])).
% 11.59/7.89 tff(3956,plain,
% 11.59/7.89 ((~![I0: $i] : (~m_state_v_maxRot(I0, s0))) | (~m_state_v_maxRot(c_s, s0))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3957,plain,
% 11.59/7.89 ($false),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3956, 3955, 3948])).
% 11.59/7.89 tff(3958,plain,(~m_state_v_maxRot(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.59/7.89 tff(3959,plain,
% 11.59/7.89 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3960,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3959])).
% 11.59/7.89 tff(3961,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3962,plain,
% 11.59/7.89 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3963,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3962])).
% 11.59/7.89 tff(3964,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node28(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_35')).
% 11.59/7.89 tff(3965,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 11.59/7.89 tff(3966,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3965, 3961])).
% 11.59/7.89 tff(3967,plain,(
% 11.59/7.89 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(skolemize,[status(sab)],[3966])).
% 11.59/7.89 tff(3968,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3967, 3960])).
% 11.59/7.89 tff(3969,plain,
% 11.59/7.89 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3970,plain,
% 11.59/7.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3971,plain,
% 11.59/7.89 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s0, s1)),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 11.59/7.89 tff(3972,plain,
% 11.59/7.89 (node28(c_s, s0, s1)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3971, 62, 3968, 49])).
% 11.59/7.89 tff(3973,plain,
% 11.59/7.89 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3974,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3973])).
% 11.59/7.89 tff(3975,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3976,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_41')).
% 11.59/7.89 tff(3977,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 11.59/7.89 tff(3978,plain,(
% 11.59/7.89 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(skolemize,[status(sab)],[3977])).
% 11.59/7.89 tff(3979,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3978, 3974])).
% 11.59/7.89 tff(3980,plain,
% 11.59/7.89 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3981,plain,
% 11.59/7.89 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3982,plain,
% 11.59/7.89 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_clockwise)) | (~m_state_v_TRM(c_s, s0, c_idle))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3981, 3980])).
% 11.59/7.89 tff(3983,plain,
% 11.59/7.89 (~m_state_v_TRM(c_s, s0, c_clockwise)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3982, 3979, 1518])).
% 11.59/7.89 tff(3984,plain,
% 11.59/7.89 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3985,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3984])).
% 11.59/7.89 tff(3986,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3987,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_42')).
% 11.59/7.89 tff(3988,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 11.59/7.89 tff(3989,plain,(
% 11.59/7.89 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(skolemize,[status(sab)],[3988])).
% 11.59/7.89 tff(3990,plain,
% 11.59/7.89 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3989, 3985])).
% 11.59/7.89 tff(3991,plain,
% 11.59/7.89 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3992,plain,
% 11.59/7.89 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(3993,plain,
% 11.59/7.89 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_counterclockwise)) | (~m_state_v_TRM(c_s, s0, c_idle))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 11.59/7.89 tff(3994,plain,
% 11.59/7.89 (~m_state_v_TRM(c_s, s0, c_counterclockwise)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[3993, 3990, 1518])).
% 11.59/7.89 tff(3995,plain,
% 11.59/7.89 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3996,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3995])).
% 11.59/7.89 tff(3997,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(3998,plain,
% 11.59/7.89 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y))), ((((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y)) | (~node28(J0, X, Y))))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))), ((((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(3999,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[3998])).
% 11.59/7.89 tff(4000,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_clockwise) | m_state_v_TRM(J0, X, c_counterclockwise)) | node27(J0, X, Y)) | (~node28(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_34')).
% 11.59/7.89 tff(4001,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 11.59/7.89 tff(4002,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4001, 3997])).
% 11.59/7.89 tff(4003,plain,(
% 11.59/7.89 ![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(skolemize,[status(sab)],[4002])).
% 11.59/7.89 tff(4004,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4003, 3996])).
% 11.59/7.89 tff(4005,plain,
% 11.59/7.89 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4006,plain,
% 11.59/7.89 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(4007,plain,
% 11.59/7.89 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s0, c_counterclockwise) | m_state_v_TRM(c_s, s0, c_clockwise) | node27(c_s, s0, s1) | (~node28(c_s, s0, s1))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 11.59/7.89 tff(4008,plain,
% 11.59/7.89 (node27(c_s, s0, s1)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[4007, 4004, 3994, 3983, 3972])).
% 11.59/7.89 tff(4009,plain,
% 11.59/7.89 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(4010,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[4009])).
% 11.59/7.89 tff(4011,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4012,plain,
% 11.59/7.89 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y))) <=> (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(4013,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[4012])).
% 11.59/7.89 tff(4014,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_maxRot(J0, Y)) | m_state_v_maxRot(J0, X)) | (~node27(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_31')).
% 11.59/7.89 tff(4015,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4014, 4013])).
% 11.59/7.89 tff(4016,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4015, 4011])).
% 11.59/7.89 tff(4017,plain,(
% 11.59/7.89 ![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(skolemize,[status(sab)],[4016])).
% 11.59/7.89 tff(4018,plain,
% 11.59/7.89 (![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4017, 4010])).
% 11.59/7.89 tff(4019,plain,
% 11.59/7.89 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4020,plain,
% 11.59/7.89 ((m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1))) <=> (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4021,plain,
% 11.59/7.89 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1))))),
% 11.59/7.89 inference(monotonicity,[status(thm)],[4020])).
% 11.59/7.89 tff(4022,plain,
% 11.59/7.89 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1)))),
% 11.59/7.89 inference(transitivity,[status(thm)],[4021, 4019])).
% 11.59/7.89 tff(4023,plain,
% 11.59/7.89 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | (m_state_v_maxRot(c_s, s0) | (~node27(c_s, s0, s1)) | (~m_state_v_maxRot(c_s, s1)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(4024,plain,
% 11.59/7.89 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, Y)))) | m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1)) | (~node27(c_s, s0, s1))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 11.59/7.89 tff(4025,plain,
% 11.59/7.89 (m_state_v_maxRot(c_s, s0) | (~m_state_v_maxRot(c_s, s1))),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[4024, 4018, 4008])).
% 11.59/7.89 tff(4026,plain,
% 11.59/7.89 (~m_state_v_maxRot(c_s, s1)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[4025, 3958])).
% 11.59/7.89 tff(4027,plain,
% 11.59/7.89 (^[X: $i, J0: $i] : refl((m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> (m_state_v_maxRot(J0, X) | (~node165(J0, X))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(4028,plain,
% 11.59/7.89 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[4027])).
% 11.59/7.89 tff(4029,plain,
% 11.59/7.89 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4030,axiom,(![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_7')).
% 11.59/7.89 tff(4031,plain,
% 11.59/7.89 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 11.59/7.89 tff(4032,plain,(
% 11.59/7.89 ![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.59/7.89 inference(skolemize,[status(sab)],[4031])).
% 11.59/7.89 tff(4033,plain,
% 11.59/7.89 (![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4032, 4028])).
% 11.59/7.89 tff(4034,plain,
% 11.59/7.89 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4035,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1)))),
% 11.59/7.89 inference(quant_inst,[status(thm)],[])).
% 11.59/7.89 tff(4036,plain,
% 11.59/7.89 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s1) | (~node165(c_s, s1))),
% 11.59/7.89 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 11.59/7.89 tff(4037,plain,
% 11.59/7.89 (~node165(c_s, s1)),
% 11.59/7.89 inference(unit_resolution,[status(thm)],[4036, 4033, 4026])).
% 11.59/7.89 tff(4038,plain,
% 11.59/7.89 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))))),
% 11.59/7.89 inference(bind,[status(th)],[])).
% 11.59/7.89 tff(4039,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.89 inference(quant_intro,[status(thm)],[4038])).
% 11.59/7.89 tff(4040,plain,
% 11.59/7.89 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.89 inference(rewrite,[status(thm)],[])).
% 11.59/7.89 tff(4041,plain,
% 11.59/7.89 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4042,plain,
% 11.59/7.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4041])).
% 11.59/7.90 tff(4043,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((((((((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | (~m_ERTable_v_s(I0, J0))) | node169(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_22')).
% 11.59/7.90 tff(4044,plain,
% 11.59/7.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 11.59/7.90 tff(4045,plain,
% 11.59/7.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4044, 4040])).
% 11.59/7.90 tff(4046,plain,(
% 11.59/7.90 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4045])).
% 11.59/7.90 tff(4047,plain,
% 11.59/7.90 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4046, 4039])).
% 11.59/7.90 tff(4048,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4049,plain,
% 11.59/7.90 (((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4050,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2)))),
% 11.59/7.90 inference(monotonicity,[status(thm)],[4049])).
% 11.59/7.90 tff(4051,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2))),
% 11.59/7.90 inference(transitivity,[status(thm)],[4050, 4048])).
% 11.59/7.90 tff(4052,plain,
% 11.59/7.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s1, s2)) | node169(c_s, s1, s2) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4053,plain,
% 11.59/7.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s1, s2)),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 11.59/7.90 tff(4054,plain,
% 11.59/7.90 (node169(c_s, s1, s2)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4053, 1505, 4047, 271])).
% 11.59/7.90 tff(4055,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4056,plain,
% 11.59/7.90 (((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4057,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1)))),
% 11.59/7.90 inference(monotonicity,[status(thm)],[4056])).
% 11.59/7.90 tff(4058,plain,
% 11.59/7.90 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1))),
% 11.59/7.90 inference(transitivity,[status(thm)],[4057, 4055])).
% 11.59/7.90 tff(4059,plain,
% 11.59/7.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s0, s1)) | node169(c_s, s0, s1) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4060,plain,
% 11.59/7.90 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s0, s1)),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 11.59/7.90 tff(4061,plain,
% 11.59/7.90 (node169(c_s, s0, s1)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4060, 1505, 4047, 49])).
% 11.59/7.90 tff(4062,plain,
% 11.59/7.90 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4063,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4062])).
% 11.59/7.90 tff(4064,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4065,plain,
% 11.59/7.90 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> (((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))))), rewrite((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_clockwise)))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> (((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle))) | (~node169(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))), ((((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4066,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4065])).
% 11.59/7.90 tff(4067,axiom,(![Y: $i, X: $i, J0: $i] : (((((((~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | (~m_state_v_tl(J0, X))) | m_state_v_TRM(J0, Y, c_clockwise)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_17')).
% 11.59/7.90 tff(4068,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4067, 4066])).
% 11.59/7.90 tff(4069,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4068, 4064])).
% 11.59/7.90 tff(4070,plain,(
% 11.59/7.90 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4069])).
% 11.59/7.90 tff(4071,plain,
% 11.59/7.90 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4070, 4063])).
% 11.59/7.90 tff(4072,plain,
% 11.59/7.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4073,plain,
% 11.59/7.90 (((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle))) <=> ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4074,plain,
% 11.59/7.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1))))),
% 11.59/7.90 inference(monotonicity,[status(thm)],[4073])).
% 11.59/7.90 tff(4075,plain,
% 11.59/7.90 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1)))),
% 11.59/7.90 inference(transitivity,[status(thm)],[4074, 4072])).
% 11.59/7.90 tff(4076,plain,
% 11.59/7.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_minRot(c_s, s0)) | (~node169(c_s, s0, s1)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4077,plain,
% 11.59/7.90 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_botPos(J0, X)) | (~m_state_v_minRot(J0, X)) | (~node169(J0, X, Y)) | m_state_v_TRM(J0, Y, c_clockwise) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)))) | (~m_state_v_TRM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_minRot(c_s, s0)) | (~m_state_v_botPos(c_s, s0)) | (~m_state_v_tl(c_s, s0)) | m_state_v_TRM(c_s, s1, c_clockwise) | (~node169(c_s, s0, s1))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 11.59/7.90 tff(4078,plain,
% 11.59/7.90 (m_state_v_TRM(c_s, s1, c_clockwise)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4077, 4071, 1545, 1536, 1527, 1518, 1294, 4061])).
% 11.59/7.90 tff(4079,plain,
% 11.59/7.90 (^[I0: $i, X: $i] : refl(((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4080,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4079])).
% 11.59/7.90 tff(4081,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise))) <=> ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4082,axiom,(![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_40')).
% 11.59/7.90 tff(4083,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4082, 4081])).
% 11.59/7.90 tff(4084,plain,(
% 11.59/7.90 ![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4083])).
% 11.59/7.90 tff(4085,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4084, 4080])).
% 11.59/7.90 tff(4086,plain,
% 11.59/7.90 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4087,plain,
% 11.59/7.90 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4088,plain,
% 11.59/7.90 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_counterclockwise)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_counterclockwise))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 11.59/7.90 tff(4089,plain,
% 11.59/7.90 (~m_state_v_TRM(c_s, s1, c_counterclockwise)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4088, 4085, 4078])).
% 11.59/7.90 tff(4090,plain,
% 11.59/7.90 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4091,plain,
% 11.59/7.90 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4090])).
% 11.59/7.90 tff(4092,plain,
% 11.59/7.90 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4093,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_13')).
% 11.59/7.90 tff(4094,plain,
% 11.59/7.90 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 11.59/7.90 tff(4095,plain,(
% 11.59/7.90 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4094])).
% 11.59/7.90 tff(4096,plain,
% 11.59/7.90 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4095, 4091])).
% 11.59/7.90 tff(4097,plain,
% 11.59/7.90 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4098,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4099,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~node167(c_s, s1))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 11.59/7.90 tff(4100,plain,
% 11.59/7.90 (~node167(c_s, s1)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4099, 4096, 4089])).
% 11.59/7.90 tff(4101,plain,
% 11.59/7.90 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4102,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4101])).
% 11.59/7.90 tff(4103,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4104,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_37')).
% 11.59/7.90 tff(4105,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 11.59/7.90 tff(4106,plain,(
% 11.59/7.90 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4105])).
% 11.59/7.90 tff(4107,plain,
% 11.59/7.90 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4106, 4102])).
% 11.59/7.90 tff(4108,plain,
% 11.59/7.90 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4109,plain,
% 11.59/7.90 (((~m_state_v_TEM(c_s, s1, c_up)) | (~m_state_v_TEM(c_s, s1, c_idle))) <=> ((~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4110,plain,
% 11.59/7.90 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | (~m_state_v_TEM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up))))),
% 11.59/7.90 inference(monotonicity,[status(thm)],[4109])).
% 11.59/7.90 tff(4111,plain,
% 11.59/7.90 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | (~m_state_v_TEM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.59/7.90 inference(transitivity,[status(thm)],[4110, 4108])).
% 11.59/7.90 tff(4112,plain,
% 11.59/7.90 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s1, c_up)) | (~m_state_v_TEM(c_s, s1, c_idle)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4113,plain,
% 11.59/7.90 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s1, c_idle)) | (~m_state_v_TEM(c_s, s1, c_up))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 11.59/7.90 tff(4114,plain,
% 11.59/7.90 (~m_state_v_TEM(c_s, s1, c_idle)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4113, 4107, 1562])).
% 11.59/7.90 tff(4115,plain,
% 11.59/7.90 (^[X: $i, J0: $i] : refl(((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle)) <=> ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4116,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4115])).
% 11.59/7.90 tff(4117,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4118,plain,
% 11.59/7.90 (^[X: $i, J0: $i] : rewrite((m_state_v_TEM(J0, X, c_idle) | (~node164(J0, X))) <=> ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle)))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4119,plain,
% 11.59/7.90 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4118])).
% 11.59/7.90 tff(4120,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node164(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_3')).
% 11.59/7.90 tff(4121,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4120, 4119])).
% 11.59/7.90 tff(4122,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4121, 4117])).
% 11.59/7.90 tff(4123,plain,(
% 11.59/7.90 ![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4122])).
% 11.59/7.90 tff(4124,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4123, 4116])).
% 11.59/7.90 tff(4125,plain,
% 11.59/7.90 (((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))) | ((~node164(c_s, s1)) | m_state_v_TEM(c_s, s1, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))) | (~node164(c_s, s1)) | m_state_v_TEM(c_s, s1, c_idle))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4126,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))) | ((~node164(c_s, s1)) | m_state_v_TEM(c_s, s1, c_idle))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4127,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : ((~node164(J0, X)) | m_state_v_TEM(J0, X, c_idle))) | (~node164(c_s, s1)) | m_state_v_TEM(c_s, s1, c_idle)),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 11.59/7.90 tff(4128,plain,
% 11.59/7.90 (~node164(c_s, s1)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4127, 4124, 4114])).
% 11.59/7.90 tff(4129,plain,
% 11.59/7.90 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node166(J0, X))))),
% 11.59/7.90 inference(bind,[status(th)],[])).
% 11.59/7.90 tff(4130,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.59/7.90 inference(quant_intro,[status(thm)],[4129])).
% 11.59/7.90 tff(4131,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4132,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_12')).
% 11.59/7.90 tff(4133,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 11.59/7.90 tff(4134,plain,(
% 11.59/7.90 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.59/7.90 inference(skolemize,[status(sab)],[4133])).
% 11.59/7.90 tff(4135,plain,
% 11.59/7.90 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4134, 4130])).
% 11.59/7.90 tff(4136,plain,
% 11.59/7.90 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node166(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node166(c_s, s1)))),
% 11.59/7.90 inference(rewrite,[status(thm)],[])).
% 11.59/7.90 tff(4137,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node166(c_s, s1)))),
% 11.59/7.90 inference(quant_inst,[status(thm)],[])).
% 11.59/7.90 tff(4138,plain,
% 11.59/7.90 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node166(c_s, s1))),
% 11.59/7.90 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 11.59/7.90 tff(4139,plain,
% 11.59/7.90 (~node166(c_s, s1)),
% 11.59/7.90 inference(unit_resolution,[status(thm)],[4138, 4135, 1455])).
% 11.59/7.91 tff(4140,plain,
% 11.59/7.91 (^[Y: $i, X: $i, J0: $i] : refl((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4141,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4140])).
% 11.59/7.91 tff(4142,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4143,plain,
% 11.59/7.91 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node164(J0, X) | node165(J0, X)) | node166(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X)) | node167(J0, X)))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X)) | node167(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)) | node168(J0, X, Y)))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X)) | node168(J0, X, Y)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)) | (~node169(J0, X, Y))))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4144,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4143])).
% 11.59/7.91 tff(4145,axiom,(![Y: $i, X: $i, J0: $i] : (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | node167(J0, X)) | node168(J0, X, Y)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_21')).
% 11.59/7.91 tff(4146,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 11.59/7.91 tff(4147,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4146, 4142])).
% 11.59/7.91 tff(4148,plain,(
% 11.59/7.91 ![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(skolemize,[status(sab)],[4147])).
% 11.59/7.91 tff(4149,plain,
% 11.59/7.91 (![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4148, 4141])).
% 11.59/7.91 tff(4150,plain,
% 11.59/7.91 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4151,plain,
% 11.59/7.91 ((node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))) <=> (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4152,plain,
% 11.59/7.91 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))))),
% 11.59/7.91 inference(monotonicity,[status(thm)],[4151])).
% 11.59/7.91 tff(4153,plain,
% 11.59/7.91 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.59/7.91 inference(transitivity,[status(thm)],[4152, 4150])).
% 11.59/7.91 tff(4154,plain,
% 11.59/7.91 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s1) | node165(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2)))),
% 11.59/7.91 inference(quant_inst,[status(thm)],[])).
% 11.59/7.91 tff(4155,plain,
% 11.59/7.91 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s1) | node166(c_s, s1) | node167(c_s, s1) | node165(c_s, s1) | node168(c_s, s1, s2) | (~node169(c_s, s1, s2))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 11.59/7.91 tff(4156,plain,
% 11.59/7.91 (node165(c_s, s1) | node168(c_s, s1, s2)),
% 11.59/7.91 inference(unit_resolution,[status(thm)],[4155, 4149, 4139, 4128, 4100, 4054])).
% 11.59/7.91 tff(4157,plain,
% 11.59/7.91 (node168(c_s, s1, s2)),
% 11.59/7.91 inference(unit_resolution,[status(thm)],[4156, 4037])).
% 11.59/7.91 tff(4158,plain,
% 11.59/7.91 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4159,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4158])).
% 11.59/7.91 tff(4160,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4161,plain,
% 11.59/7.91 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) <=> ((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))), (((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> (((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) | (~node168(J0, X, Y))))), rewrite((((~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V)) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))), (((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4162,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4161])).
% 11.59/7.91 tff(4163,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TRM(J0, Y, V) | (~m_state_v_TRM(J0, X, V))) | (~node168(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_15')).
% 11.59/7.91 tff(4164,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 11.59/7.91 tff(4165,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4164, 4160])).
% 11.59/7.91 tff(4166,plain,(
% 11.59/7.91 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(skolemize,[status(sab)],[4165])).
% 11.59/7.91 tff(4167,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4166, 4159])).
% 11.59/7.91 tff(4168,plain,
% 11.59/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4169,plain,
% 11.59/7.91 (((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise)) <=> (m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4170,plain,
% 11.59/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2))))),
% 11.59/7.91 inference(monotonicity,[status(thm)],[4169])).
% 11.59/7.91 tff(4171,plain,
% 11.59/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2)))),
% 11.59/7.91 inference(transitivity,[status(thm)],[4170, 4168])).
% 11.59/7.91 tff(4172,plain,
% 11.59/7.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s1, s2)) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.59/7.91 inference(quant_inst,[status(thm)],[])).
% 11.59/7.91 tff(4173,plain,
% 11.59/7.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s2, c_clockwise) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node168(c_s, s1, s2))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 11.59/7.91 tff(4174,plain,
% 11.59/7.91 (m_state_v_TRM(c_s, s2, c_clockwise)),
% 11.59/7.91 inference(unit_resolution,[status(thm)],[4173, 4167, 4078, 4157])).
% 11.59/7.91 tff(4175,plain,
% 11.59/7.91 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4176,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4175])).
% 11.59/7.91 tff(4177,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4178,plain,
% 11.59/7.91 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y))) <=> ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V))))),
% 11.59/7.91 inference(bind,[status(th)],[])).
% 11.59/7.91 tff(4179,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(quant_intro,[status(thm)],[4178])).
% 11.59/7.91 tff(4180,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, Y, V)) | m_state_v_TRM(J0, X, V)) | (~node168(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_16')).
% 11.59/7.91 tff(4181,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 11.59/7.91 tff(4182,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4181, 4177])).
% 11.59/7.91 tff(4183,plain,(
% 11.59/7.91 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(skolemize,[status(sab)],[4182])).
% 11.59/7.91 tff(4184,plain,
% 11.59/7.91 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))),
% 11.59/7.91 inference(modus_ponens,[status(thm)],[4183, 4176])).
% 11.59/7.91 tff(4185,plain,
% 11.59/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4186,plain,
% 11.59/7.91 (((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.59/7.91 inference(rewrite,[status(thm)],[])).
% 11.59/7.91 tff(4187,plain,
% 11.59/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2))))),
% 11.66/7.91 inference(monotonicity,[status(thm)],[4186])).
% 11.66/7.91 tff(4188,plain,
% 11.66/7.91 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2)))),
% 11.66/7.91 inference(transitivity,[status(thm)],[4187, 4185])).
% 11.66/7.91 tff(4189,plain,
% 11.66/7.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))),
% 11.66/7.91 inference(quant_inst,[status(thm)],[])).
% 11.66/7.91 tff(4190,plain,
% 11.66/7.91 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s1, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s1, s2))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 11.66/7.91 tff(4191,plain,
% 11.66/7.91 (~m_state_v_TRM(c_s, s2, c_counterclockwise)),
% 11.66/7.91 inference(unit_resolution,[status(thm)],[4190, 4184, 4089, 4157])).
% 11.66/7.91 tff(4192,plain,
% 11.66/7.91 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)))),
% 11.66/7.91 inference(bind,[status(th)],[])).
% 11.66/7.91 tff(4193,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(quant_intro,[status(thm)],[4192])).
% 11.66/7.91 tff(4194,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4195,plain,
% 11.66/7.91 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))))),
% 11.66/7.91 inference(bind,[status(th)],[])).
% 11.66/7.91 tff(4196,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(quant_intro,[status(thm)],[4195])).
% 11.66/7.91 tff(4197,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node26(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_29')).
% 11.66/7.91 tff(4198,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 11.66/7.91 tff(4199,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4198, 4194])).
% 11.66/7.91 tff(4200,plain,(
% 11.66/7.91 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(skolemize,[status(sab)],[4199])).
% 11.66/7.91 tff(4201,plain,
% 11.66/7.91 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4200, 4193])).
% 11.66/7.91 tff(4202,plain,
% 11.66/7.91 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4203,plain,
% 11.66/7.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3))),
% 11.66/7.91 inference(quant_inst,[status(thm)],[])).
% 11.66/7.91 tff(4204,plain,
% 11.66/7.91 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s2, s3)),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 11.66/7.91 tff(4205,plain,
% 11.66/7.91 (node26(c_s, s2, s3)),
% 11.66/7.91 inference(unit_resolution,[status(thm)],[4204, 62, 4201, 480])).
% 11.66/7.91 tff(4206,plain,
% 11.66/7.91 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))))),
% 11.66/7.91 inference(bind,[status(th)],[])).
% 11.66/7.91 tff(4207,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(quant_intro,[status(thm)],[4206])).
% 11.66/7.91 tff(4208,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4209,plain,
% 11.66/7.91 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) <=> ((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> (((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~node26(J0, X, Y))))), rewrite((((~m_state_v_minRot(J0, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~node26(J0, X, Y))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))))),
% 11.66/7.91 inference(bind,[status(th)],[])).
% 11.66/7.91 tff(4210,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(quant_intro,[status(thm)],[4209])).
% 11.66/7.91 tff(4211,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_minRot(J0, Y))) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_27')).
% 11.66/7.91 tff(4212,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 11.66/7.91 tff(4213,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4212, 4208])).
% 11.66/7.91 tff(4214,plain,(
% 11.66/7.91 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(skolemize,[status(sab)],[4213])).
% 11.66/7.91 tff(4215,plain,
% 11.66/7.91 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4214, 4207])).
% 11.66/7.91 tff(4216,plain,
% 11.66/7.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4217,plain,
% 11.66/7.91 (((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4218,plain,
% 11.66/7.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3))))),
% 11.66/7.91 inference(monotonicity,[status(thm)],[4217])).
% 11.66/7.91 tff(4219,plain,
% 11.66/7.91 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3)))),
% 11.66/7.91 inference(transitivity,[status(thm)],[4218, 4216])).
% 11.66/7.91 tff(4220,plain,
% 11.66/7.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | ((~m_state_v_minRot(c_s, s3)) | (~node26(c_s, s2, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)))),
% 11.66/7.91 inference(quant_inst,[status(thm)],[])).
% 11.66/7.91 tff(4221,plain,
% 11.66/7.91 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | (~m_state_v_TRM(J0, X, c_clockwise)))) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node26(c_s, s2, s3))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 11.66/7.91 tff(4222,plain,
% 11.66/7.91 ((~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.66/7.91 inference(unit_resolution,[status(thm)],[4221, 4215, 4205])).
% 11.66/7.91 tff(4223,plain,
% 11.66/7.91 (~m_state_v_minRot(c_s, s3)),
% 11.66/7.91 inference(unit_resolution,[status(thm)],[4222, 4191, 4174])).
% 11.66/7.91 tff(4224,plain,
% 11.66/7.91 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node164(J0, X))))),
% 11.66/7.91 inference(bind,[status(th)],[])).
% 11.66/7.91 tff(4225,plain,
% 11.66/7.91 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.66/7.91 inference(quant_intro,[status(thm)],[4224])).
% 11.66/7.91 tff(4226,plain,
% 11.66/7.91 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.66/7.91 inference(rewrite,[status(thm)],[])).
% 11.66/7.91 tff(4227,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_1')).
% 11.66/7.91 tff(4228,plain,
% 11.66/7.91 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 11.66/7.91 tff(4229,plain,(
% 11.66/7.91 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.66/7.91 inference(skolemize,[status(sab)],[4228])).
% 11.66/7.91 tff(4230,plain,
% 11.66/7.91 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))),
% 11.66/7.91 inference(modus_ponens,[status(thm)],[4229, 4225])).
% 11.66/7.91 tff(4231,plain,
% 11.66/7.91 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node164(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node164(c_s, s2)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4232,plain,
% 11.66/7.92 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node164(c_s, s2)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4233,plain,
% 11.66/7.92 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node164(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node164(c_s, s2))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 11.66/7.92 tff(4234,plain,
% 11.66/7.92 (~node164(c_s, s2)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4233, 4230, 1593])).
% 11.66/7.92 tff(4235,plain,
% 11.66/7.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4236,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4237,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s1, s2)),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4236, 4235])).
% 11.66/7.92 tff(4238,plain,
% 11.66/7.92 (node28(c_s, s1, s2)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4237, 62, 3968, 271])).
% 11.66/7.92 tff(4239,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4240,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4239])).
% 11.66/7.92 tff(4241,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4242,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4243,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4242])).
% 11.66/7.92 tff(4244,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y)) | (~node28(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_32')).
% 11.66/7.92 tff(4245,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 11.66/7.92 tff(4246,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4245, 4241])).
% 11.66/7.92 tff(4247,plain,(
% 11.66/7.92 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(skolemize,[status(sab)],[4246])).
% 11.66/7.92 tff(4248,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4247, 4240])).
% 11.66/7.92 tff(4249,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4250,plain,
% 11.66/7.92 (((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2))) <=> (m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4251,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2))))),
% 11.66/7.92 inference(monotonicity,[status(thm)],[4250])).
% 11.66/7.92 tff(4252,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2)))),
% 11.66/7.92 inference(transitivity,[status(thm)],[4251, 4249])).
% 11.66/7.92 tff(4253,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | m_state_v_maxRot(c_s, s2) | (~node28(c_s, s1, s2)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4254,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~node28(c_s, s1, s2))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 11.66/7.92 tff(4255,plain,
% 11.66/7.92 (m_state_v_maxRot(c_s, s2) | (~m_state_v_TRM(c_s, s1, c_clockwise))),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4254, 4248, 4238])).
% 11.66/7.92 tff(4256,plain,
% 11.66/7.92 (m_state_v_maxRot(c_s, s2)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4255, 4078])).
% 11.66/7.92 tff(4257,plain,
% 11.66/7.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4258,plain,
% 11.66/7.92 (((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4259,plain,
% 11.66/7.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3)))),
% 11.66/7.92 inference(monotonicity,[status(thm)],[4258])).
% 11.66/7.92 tff(4260,plain,
% 11.66/7.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3))),
% 11.66/7.92 inference(transitivity,[status(thm)],[4259, 4257])).
% 11.66/7.92 tff(4261,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s2, s3)) | node169(c_s, s2, s3) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4262,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s2, s3)),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 11.66/7.92 tff(4263,plain,
% 11.66/7.92 (node169(c_s, s2, s3)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4262, 1505, 4047, 480])).
% 11.66/7.92 tff(4264,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4265,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4264])).
% 11.66/7.92 tff(4266,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4267,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X))), (((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X)) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | node164(J0, X)) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X))), (((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)))), ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)) | m_state_v_TRM(J0, Y, c_idle)))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X)) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle))), ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)))), (((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> (((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))), (((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4268,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4267])).
% 11.66/7.92 tff(4269,axiom,(![Y: $i, X: $i, J0: $i] : ((((node164(J0, X) | (~m_state_v_TRM(J0, X, c_clockwise))) | (~m_state_v_maxRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_18')).
% 11.66/7.92 tff(4270,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 11.66/7.92 tff(4271,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4270, 4266])).
% 11.66/7.92 tff(4272,plain,(
% 11.66/7.92 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(skolemize,[status(sab)],[4271])).
% 11.66/7.92 tff(4273,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4272, 4265])).
% 11.66/7.92 tff(4274,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4275,plain,
% 11.66/7.92 (((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3))) <=> (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4276,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3))))),
% 11.66/7.92 inference(monotonicity,[status(thm)],[4275])).
% 11.66/7.92 tff(4277,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3)))),
% 11.66/7.92 inference(transitivity,[status(thm)],[4276, 4274])).
% 11.66/7.92 tff(4278,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4279,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node169(c_s, s2, s3))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 11.66/7.92 tff(4280,plain,
% 11.66/7.92 (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_maxRot(c_s, s2)) | node164(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4279, 4273, 4263])).
% 11.66/7.92 tff(4281,plain,
% 11.66/7.92 (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4280, 4256, 4234])).
% 11.66/7.92 tff(4282,plain,
% 11.66/7.92 (m_state_v_TRM(c_s, s3, c_idle)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4281, 4174])).
% 11.66/7.92 tff(4283,plain,
% 11.66/7.92 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4284,plain,
% 11.66/7.92 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4285,plain,
% 11.66/7.92 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_TRM(c_s, s3, c_idle))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 11.66/7.92 tff(4286,plain,
% 11.66/7.92 (~m_state_v_TRM(c_s, s3, c_clockwise)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4285, 3979, 4282])).
% 11.66/7.92 tff(4287,plain,
% 11.66/7.92 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4288,plain,
% 11.66/7.92 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4289,plain,
% 11.66/7.92 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_counterclockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | (~m_state_v_TRM(c_s, s3, c_idle))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 11.66/7.92 tff(4290,plain,
% 11.66/7.92 (~m_state_v_TRM(c_s, s3, c_counterclockwise)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4289, 3990, 4282])).
% 11.66/7.92 tff(4291,plain,
% 11.66/7.92 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4292,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4293,plain,
% 11.66/7.92 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s3, s4)),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 11.66/7.92 tff(4294,plain,
% 11.66/7.92 (node26(c_s, s3, s4)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4293, 62, 4201, 911])).
% 11.66/7.92 tff(4295,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : refl((node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4296,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4295])).
% 11.66/7.92 tff(4297,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4298,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) <=> (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> ((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)))), rewrite(((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> (node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) <=> (node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> ((node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | (~node26(J0, X, Y))))), rewrite(((node25(J0, X, Y) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | (~node26(J0, X, Y))) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))), ((((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4299,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4298])).
% 11.66/7.92 tff(4300,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise)) | node25(J0, X, Y)) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_28')).
% 11.66/7.92 tff(4301,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4300, 4299])).
% 11.66/7.92 tff(4302,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4301, 4297])).
% 11.66/7.92 tff(4303,plain,(
% 11.66/7.92 ![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(skolemize,[status(sab)],[4302])).
% 11.66/7.92 tff(4304,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4303, 4296])).
% 11.66/7.92 tff(4305,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4306,plain,
% 11.66/7.92 ((node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise)) <=> (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4307,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4)))),
% 11.66/7.92 inference(monotonicity,[status(thm)],[4306])).
% 11.66/7.92 tff(4308,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4))),
% 11.66/7.92 inference(transitivity,[status(thm)],[4307, 4305])).
% 11.66/7.92 tff(4309,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s3, s4) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.92 tff(4310,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node26(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4)),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 11.66/7.92 tff(4311,plain,
% 11.66/7.92 (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node25(c_s, s3, s4)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4310, 4304, 4294])).
% 11.66/7.92 tff(4312,plain,
% 11.66/7.92 (node25(c_s, s3, s4)),
% 11.66/7.92 inference(unit_resolution,[status(thm)],[4311, 4290, 4286])).
% 11.66/7.92 tff(4313,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4314,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4313])).
% 11.66/7.92 tff(4315,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4316,plain,
% 11.66/7.92 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y))) <=> (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y))))),
% 11.66/7.92 inference(bind,[status(th)],[])).
% 11.66/7.92 tff(4317,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(quant_intro,[status(thm)],[4316])).
% 11.66/7.92 tff(4318,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_minRot(J0, Y)) | m_state_v_minRot(J0, X)) | (~node25(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_25')).
% 11.66/7.92 tff(4319,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 11.66/7.92 tff(4320,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4319, 4315])).
% 11.66/7.92 tff(4321,plain,(
% 11.66/7.92 ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(skolemize,[status(sab)],[4320])).
% 11.66/7.92 tff(4322,plain,
% 11.66/7.92 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))),
% 11.66/7.92 inference(modus_ponens,[status(thm)],[4321, 4314])).
% 11.66/7.92 tff(4323,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4324,plain,
% 11.66/7.92 ((m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4))) <=> ((~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)))),
% 11.66/7.92 inference(rewrite,[status(thm)],[])).
% 11.66/7.92 tff(4325,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4))))),
% 11.66/7.92 inference(monotonicity,[status(thm)],[4324])).
% 11.66/7.92 tff(4326,plain,
% 11.66/7.92 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)))),
% 11.66/7.92 inference(transitivity,[status(thm)],[4325, 4323])).
% 11.66/7.92 tff(4327,plain,
% 11.66/7.92 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s4)))),
% 11.66/7.92 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4328,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s4)) | m_state_v_minRot(c_s, s3) | (~node25(c_s, s3, s4))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 11.66/7.93 tff(4329,plain,
% 11.66/7.93 (~m_state_v_minRot(c_s, s4)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4328, 4322, 4312, 4223])).
% 11.66/7.93 tff(4330,plain,
% 11.66/7.93 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node183(J0, X))))),
% 11.66/7.93 inference(bind,[status(th)],[])).
% 11.66/7.93 tff(4331,plain,
% 11.66/7.93 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.66/7.93 inference(quant_intro,[status(thm)],[4330])).
% 11.66/7.93 tff(4332,plain,
% 11.66/7.93 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4333,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_35')).
% 11.66/7.93 tff(4334,plain,
% 11.66/7.93 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 11.66/7.93 tff(4335,plain,(
% 11.66/7.93 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.66/7.93 inference(skolemize,[status(sab)],[4334])).
% 11.66/7.93 tff(4336,plain,
% 11.66/7.93 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4335, 4331])).
% 11.66/7.93 tff(4337,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4338,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node183(c_s, s4)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4339,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node183(c_s, s4))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 11.66/7.93 tff(4340,plain,
% 11.66/7.93 (~node183(c_s, s4)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4339, 4336, 4329])).
% 11.66/7.93 tff(4341,plain,
% 11.66/7.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4342,plain,
% 11.66/7.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4343,plain,
% 11.66/7.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s4, s5)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s4, s5)),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 11.66/7.93 tff(4344,plain,
% 11.66/7.93 (node185(c_s, s4, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4343, 1247, 1244, 1043])).
% 11.66/7.93 tff(4345,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4346,plain,
% 11.66/7.93 ((node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5))) <=> (node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4347,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5))))),
% 11.66/7.93 inference(monotonicity,[status(thm)],[4346])).
% 11.66/7.93 tff(4348,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 11.66/7.93 inference(transitivity,[status(thm)],[4347, 4345])).
% 11.66/7.93 tff(4349,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s4) | node183(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4350,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5) | (~node185(c_s, s4, s5))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 11.66/7.93 tff(4351,plain,
% 11.66/7.93 (node183(c_s, s4) | node182(c_s, s4) | node184(c_s, s4, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4350, 1315, 4344])).
% 11.66/7.93 tff(4352,plain,
% 11.66/7.93 (node184(c_s, s4, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4351, 4340, 3947])).
% 11.66/7.93 tff(4353,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4354,plain,
% 11.66/7.93 (((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on))) <=> (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4355,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5))))),
% 11.66/7.93 inference(monotonicity,[status(thm)],[4354])).
% 11.66/7.93 tff(4356,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5)))),
% 11.66/7.93 inference(transitivity,[status(thm)],[4355, 4353])).
% 11.66/7.93 tff(4357,plain,
% 11.66/7.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s4, s5)) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4358,plain,
% 11.66/7.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s4, c_on) | (~m_state_v_FBM(c_s, s5, c_on)) | (~node184(c_s, s4, s5))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 11.66/7.93 tff(4359,plain,
% 11.66/7.93 (~m_state_v_FBM(c_s, s5, c_on)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4358, 1332, 3704, 4352])).
% 11.66/7.93 tff(4360,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4361,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4362,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node13(c_s, s5))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 11.66/7.93 tff(4363,plain,
% 11.66/7.93 (~node13(c_s, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4362, 1631, 4359])).
% 11.66/7.93 tff(4364,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s5)) | m_state_v_CMag(c_s, s5, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s5)) | m_state_v_CMag(c_s, s5, c_off))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4365,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s5)) | m_state_v_CMag(c_s, s5, c_off))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4366,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s5)) | m_state_v_CMag(c_s, s5, c_off)),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 11.66/7.93 tff(4367,plain,
% 11.66/7.93 (~node14(c_s, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4366, 1712, 2059])).
% 11.66/7.93 tff(4368,plain,
% 11.66/7.93 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4369,plain,
% 11.66/7.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4370,plain,
% 11.66/7.93 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)) | node16(c_s, s5, s6)),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 11.66/7.93 tff(4371,plain,
% 11.66/7.93 (node16(c_s, s5, s6)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4370, 1360, 1645, 14])).
% 11.66/7.93 tff(4372,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4373,plain,
% 11.66/7.93 ((node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6))) <=> (node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4374,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5)))),
% 11.66/7.93 inference(monotonicity,[status(thm)],[4373])).
% 11.66/7.93 tff(4375,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5))),
% 11.66/7.93 inference(transitivity,[status(thm)],[4374, 4372])).
% 11.66/7.93 tff(4376,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s5) | node14(c_s, s5) | node15(c_s, s5, s6) | (~node16(c_s, s5, s6)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4377,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s5) | (~node16(c_s, s5, s6)) | node15(c_s, s5, s6) | node13(c_s, s5)),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 11.66/7.93 tff(4378,plain,
% 11.66/7.93 (node14(c_s, s5) | node15(c_s, s5, s6) | node13(c_s, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4377, 1659, 4371])).
% 11.66/7.93 tff(4379,plain,
% 11.66/7.93 (node15(c_s, s5, s6) | node13(c_s, s5)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4378, 4367])).
% 11.66/7.93 tff(4380,plain,
% 11.66/7.93 (node15(c_s, s5, s6)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4379, 4363])).
% 11.66/7.93 tff(4381,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4382,plain,
% 11.66/7.93 (((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6))) <=> ((~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4383,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6))))),
% 11.66/7.93 inference(monotonicity,[status(thm)],[4382])).
% 11.66/7.93 tff(4384,plain,
% 11.66/7.93 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6)))),
% 11.66/7.93 inference(transitivity,[status(thm)],[4383, 4381])).
% 11.66/7.93 tff(4385,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s5, s6)) | m_state_v_ff(c_s, s5) | (~m_state_v_ff(c_s, s6)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4386,plain,
% 11.66/7.93 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s6)) | m_state_v_ff(c_s, s5) | (~node15(c_s, s5, s6))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 11.66/7.93 tff(4387,plain,
% 11.66/7.93 (~m_state_v_ff(c_s, s6)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4386, 1734, 3732, 4380])).
% 11.66/7.93 tff(4388,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4389,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s6) | (~node94(c_s, s6)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4390,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s6) | (~node94(c_s, s6))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 11.66/7.93 tff(4391,plain,
% 11.66/7.93 (~node94(c_s, s6)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4390, 1793, 4387])).
% 11.66/7.93 tff(4392,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s6) | (~node96(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s6) | (~node96(c_s, s6)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4393,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s6) | (~node96(c_s, s6)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4394,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s6) | (~node96(c_s, s6))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 11.66/7.93 tff(4395,plain,
% 11.66/7.93 (~node96(c_s, s6)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4394, 1201, 2146])).
% 11.66/7.93 tff(4396,plain,
% 11.66/7.93 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4397,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4)))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4398,plain,
% 11.66/7.93 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovb) | (~node83(c_s, s4))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 11.66/7.93 tff(4399,plain,
% 11.66/7.93 (~node83(c_s, s4)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4398, 3765, 1212])).
% 11.66/7.93 tff(4400,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4401,plain,
% 11.66/7.93 (((~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle)) <=> ((~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4)))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4402,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4))))),
% 11.66/7.93 inference(monotonicity,[status(thm)],[4401])).
% 11.66/7.93 tff(4403,plain,
% 11.66/7.93 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4)))),
% 11.66/7.93 inference(transitivity,[status(thm)],[4402, 4400])).
% 11.66/7.93 tff(4404,plain,
% 11.66/7.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s3, s4)) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle))),
% 11.66/7.93 inference(quant_inst,[status(thm)],[])).
% 11.66/7.93 tff(4405,plain,
% 11.66/7.93 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s3, c_idle)) | m_state_v_CVM(c_s, s4, c_idle) | (~node98(c_s, s3, s4))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 11.66/7.93 tff(4406,plain,
% 11.66/7.93 (m_state_v_CVM(c_s, s4, c_idle)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[4405, 815, 889, 1003])).
% 11.66/7.93 tff(4407,assumption,(~m_state_v_gvp(c_s, s3, c_ovf)), introduced(assumption)).
% 11.66/7.93 tff(4408,plain,
% 11.66/7.93 (~node79(c_s, s3)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[1147, 369, 4407])).
% 11.66/7.93 tff(4409,assumption,(~node78(c_s, s3)), introduced(assumption)).
% 11.66/7.93 tff(4410,assumption,(~m_state_v_gvp(c_s, s3, c_ovb)), introduced(assumption)).
% 11.66/7.93 tff(4411,plain,
% 11.66/7.93 (~node77(c_s, s3)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[1143, 760, 4410])).
% 11.66/7.93 tff(4412,plain,
% 11.66/7.93 (~node80(c_s, s3)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[1124, 380, 4407])).
% 11.66/7.93 tff(4413,plain,
% 11.66/7.93 (node81(c_s, s3, s4)),
% 11.66/7.93 inference(unit_resolution,[status(thm)],[1159, 4412, 4411, 4409, 4408])).
% 11.66/7.93 tff(4414,assumption,(~m_state_v_gvp(c_s, s4, c_sd)), introduced(assumption)).
% 11.66/7.93 tff(4415,plain,
% 11.66/7.93 (^[I0: $i, X: $i] : refl((m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb)) <=> (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb)))),
% 11.66/7.93 inference(bind,[status(th)],[])).
% 11.66/7.93 tff(4416,plain,
% 11.66/7.93 (![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb)) <=> ![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(quant_intro,[status(thm)],[4415])).
% 11.66/7.93 tff(4417,plain,
% 11.66/7.93 (![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb)) <=> ![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4418,plain,
% 11.66/7.93 (^[I0: $i, X: $i] : rewrite(((m_state_v_gvp(I0, X, c_ovb) | m_state_v_gvp(I0, X, c_ovf)) | m_state_v_gvp(I0, X, c_sd)) <=> (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb)))),
% 11.66/7.93 inference(bind,[status(th)],[])).
% 11.66/7.93 tff(4419,plain,
% 11.66/7.93 (![I0: $i, X: $i] : ((m_state_v_gvp(I0, X, c_ovb) | m_state_v_gvp(I0, X, c_ovf)) | m_state_v_gvp(I0, X, c_sd)) <=> ![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(quant_intro,[status(thm)],[4418])).
% 11.66/7.93 tff(4420,axiom,(![I0: $i, X: $i] : ((m_state_v_gvp(I0, X, c_ovb) | m_state_v_gvp(I0, X, c_ovf)) | m_state_v_gvp(I0, X, c_sd))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_69')).
% 11.66/7.93 tff(4421,plain,
% 11.66/7.93 (![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4420, 4419])).
% 11.66/7.93 tff(4422,plain,
% 11.66/7.93 (![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4421, 4417])).
% 11.66/7.93 tff(4423,plain,(
% 11.66/7.93 ![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(skolemize,[status(sab)],[4422])).
% 11.66/7.93 tff(4424,plain,
% 11.66/7.93 (![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))),
% 11.66/7.93 inference(modus_ponens,[status(thm)],[4423, 4416])).
% 11.66/7.93 tff(4425,plain,
% 11.66/7.93 (((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf))) <=> ((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4426,plain,
% 11.66/7.93 ((m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovf) | m_state_v_gvp(c_s, s3, c_ovb)) <=> (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf))),
% 11.66/7.93 inference(rewrite,[status(thm)],[])).
% 11.66/7.93 tff(4427,plain,
% 11.66/7.93 (((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovf) | m_state_v_gvp(c_s, s3, c_ovb))) <=> ((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf)))),
% 11.66/7.94 inference(monotonicity,[status(thm)],[4426])).
% 11.66/7.94 tff(4428,plain,
% 11.66/7.94 (((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovf) | m_state_v_gvp(c_s, s3, c_ovb))) <=> ((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf))),
% 11.66/7.94 inference(transitivity,[status(thm)],[4427, 4425])).
% 11.66/7.94 tff(4429,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovf) | m_state_v_gvp(c_s, s3, c_ovb))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4430,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : (m_state_v_gvp(I0, X, c_sd) | m_state_v_gvp(I0, X, c_ovf) | m_state_v_gvp(I0, X, c_ovb))) | m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovb) | m_state_v_gvp(c_s, s3, c_ovf)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 11.66/7.94 tff(4431,plain,
% 11.66/7.94 (m_state_v_gvp(c_s, s3, c_sd) | m_state_v_gvp(c_s, s3, c_ovf)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4430, 4424, 4410])).
% 11.66/7.94 tff(4432,plain,
% 11.66/7.94 (m_state_v_gvp(c_s, s3, c_sd)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4431, 4407])).
% 11.66/7.94 tff(4433,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4434,plain,
% 11.66/7.94 (((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd)) <=> ((~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4435,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4))))),
% 11.66/7.94 inference(monotonicity,[status(thm)],[4434])).
% 11.66/7.94 tff(4436,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4)))),
% 11.66/7.94 inference(transitivity,[status(thm)],[4435, 4433])).
% 11.66/7.94 tff(4437,plain,
% 11.66/7.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s3, s4)) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4438,plain,
% 11.66/7.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s3, c_sd)) | m_state_v_gvp(c_s, s4, c_sd) | (~node81(c_s, s3, s4))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 11.66/7.94 tff(4439,plain,
% 11.66/7.94 ($false),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4438, 697, 4432, 4414, 4413])).
% 11.66/7.94 tff(4440,plain,(m_state_v_gvp(c_s, s3, c_ovf) | m_state_v_gvp(c_s, s4, c_sd) | node78(c_s, s3) | m_state_v_gvp(c_s, s3, c_ovb)), inference(lemma,lemma(discharge,[]))).
% 11.66/7.94 tff(4441,plain,
% 11.66/7.94 (m_state_v_gvp(c_s, s4, c_sd)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4440, 1140, 797, 949])).
% 11.66/7.94 tff(4442,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4443,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4444,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s4, c_ovf) | (~node84(c_s, s4))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 11.66/7.94 tff(4445,plain,
% 11.66/7.94 (~node84(c_s, s4)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4444, 3747, 1167])).
% 11.66/7.94 tff(4446,plain,
% 11.66/7.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4447,plain,
% 11.66/7.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4448,plain,
% 11.66/7.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s4, s5)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4447, 4446])).
% 11.66/7.94 tff(4449,plain,
% 11.66/7.94 (node87(c_s, s4, s5)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4448, 62, 714, 1043])).
% 11.66/7.94 tff(4450,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4451,plain,
% 11.66/7.94 (((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node83(c_s, s4) | node84(c_s, s4) | (~node87(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4452,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node83(c_s, s4) | node84(c_s, s4) | (~node87(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5))))),
% 11.66/7.94 inference(monotonicity,[status(thm)],[4451])).
% 11.66/7.94 tff(4453,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node83(c_s, s4) | node84(c_s, s4) | (~node87(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5)))),
% 11.66/7.94 inference(transitivity,[status(thm)],[4452, 4450])).
% 11.66/7.94 tff(4454,plain,
% 11.66/7.94 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node83(c_s, s4) | node84(c_s, s4) | (~node87(c_s, s4, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4455,plain,
% 11.66/7.94 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4) | (~node87(c_s, s4, s5))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 11.66/7.94 tff(4456,plain,
% 11.66/7.94 (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~m_state_v_CVM(c_s, s4, c_idle)) | node84(c_s, s4) | node83(c_s, s4)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4455, 3783, 4449])).
% 11.66/7.94 tff(4457,plain,
% 11.66/7.94 (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4456, 4445, 4441, 4406, 4399])).
% 11.66/7.94 tff(4458,plain,
% 11.66/7.94 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4459,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4460,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 11.66/7.94 tff(4461,plain,
% 11.66/7.94 (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4460, 3798, 4457])).
% 11.66/7.94 tff(4462,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4463,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4464,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf) | (~node80(c_s, s5))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 11.66/7.94 tff(4465,plain,
% 11.66/7.94 (~node80(c_s, s5)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4464, 3823, 4461])).
% 11.66/7.94 tff(4466,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4467,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4468,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovf)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 11.66/7.94 tff(4469,plain,
% 11.66/7.94 (~node79(c_s, s5)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4468, 3812, 4461])).
% 11.66/7.94 tff(4470,plain,
% 11.66/7.94 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4471,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4472,plain,
% 11.66/7.94 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_sd))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 11.66/7.94 tff(4473,plain,
% 11.66/7.94 (~m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4472, 3834, 4457])).
% 11.66/7.94 tff(4474,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4475,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4476,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s5)) | m_state_v_gripper_status(c_s, s5, c_gripperstoppedat_ovb)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 11.66/7.94 tff(4477,plain,
% 11.66/7.94 (~node77(c_s, s5)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4476, 3848, 4473])).
% 11.66/7.94 tff(4478,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4479,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4480,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s5)) | m_state_v_CVM(c_s, s5, c_down)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 11.66/7.94 tff(4481,plain,
% 11.66/7.94 (~node78(c_s, s5)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4480, 679, 3925])).
% 11.66/7.94 tff(4482,plain,
% 11.66/7.94 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4483,plain,
% 11.66/7.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4484,plain,
% 11.66/7.94 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s5, s6)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 11.66/7.94 tff(4485,plain,
% 11.66/7.94 (node82(c_s, s5, s6)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4484, 62, 313, 14])).
% 11.66/7.94 tff(4486,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4487,plain,
% 11.66/7.94 ((node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6))) <=> (node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4488,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6)))),
% 11.66/7.94 inference(monotonicity,[status(thm)],[4487])).
% 11.66/7.94 tff(4489,plain,
% 11.66/7.94 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6))),
% 11.66/7.94 inference(transitivity,[status(thm)],[4488, 4486])).
% 11.66/7.94 tff(4490,plain,
% 11.66/7.94 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node80(c_s, s5) | node81(c_s, s5, s6) | (~node82(c_s, s5, s6)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4491,plain,
% 11.66/7.94 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | (~node82(c_s, s5, s6)) | node81(c_s, s5, s6)),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 11.66/7.94 tff(4492,plain,
% 11.66/7.94 (node80(c_s, s5) | node77(c_s, s5) | node78(c_s, s5) | node79(c_s, s5) | node81(c_s, s5, s6)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4491, 405, 4485])).
% 11.66/7.94 tff(4493,plain,
% 11.66/7.94 (node81(c_s, s5, s6)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4492, 4481, 4477, 4469, 4465])).
% 11.66/7.94 tff(4494,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4495,plain,
% 11.66/7.94 (((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb))) <=> (m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4496,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6))))),
% 11.66/7.94 inference(monotonicity,[status(thm)],[4495])).
% 11.66/7.94 tff(4497,plain,
% 11.66/7.94 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6)))),
% 11.66/7.94 inference(transitivity,[status(thm)],[4496, 4494])).
% 11.66/7.94 tff(4498,plain,
% 11.66/7.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4499,plain,
% 11.66/7.94 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~m_state_v_gvp(c_s, s6, c_ovb)) | (~node81(c_s, s5, s6))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 11.66/7.94 tff(4500,plain,
% 11.66/7.94 (~m_state_v_gvp(c_s, s6, c_ovb)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4499, 422, 3897, 4493])).
% 11.66/7.94 tff(4501,plain,
% 11.66/7.94 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))),
% 11.66/7.94 inference(rewrite,[status(thm)],[])).
% 11.66/7.94 tff(4502,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6)))),
% 11.66/7.94 inference(quant_inst,[status(thm)],[])).
% 11.66/7.94 tff(4503,plain,
% 11.66/7.94 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node92(c_s, s6))),
% 11.66/7.94 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 11.66/7.94 tff(4504,plain,
% 11.66/7.94 (~node92(c_s, s6)),
% 11.66/7.94 inference(unit_resolution,[status(thm)],[4503, 868, 4500])).
% 11.66/7.95 tff(4505,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4506,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4507,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node97(c_s, s6))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 11.66/7.95 tff(4508,plain,
% 11.66/7.95 (~node97(c_s, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4507, 990, 4500])).
% 11.66/7.95 tff(4509,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4510,plain,
% 11.66/7.95 (((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf))) <=> (m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4511,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6))))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4510])).
% 11.66/7.95 tff(4512,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6)))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4511, 4509])).
% 11.66/7.95 tff(4513,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s5, s6)) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4514,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~m_state_v_gvp(c_s, s6, c_ovf)) | (~node81(c_s, s5, s6))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 11.66/7.95 tff(4515,plain,
% 11.66/7.95 (~m_state_v_gvp(c_s, s6, c_ovf)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4514, 422, 3882, 4493])).
% 11.66/7.95 tff(4516,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4517,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4518,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node95(c_s, s6))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4517, 4516])).
% 11.66/7.95 tff(4519,plain,
% 11.66/7.95 (~node95(c_s, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4518, 608, 4515])).
% 11.66/7.95 tff(4520,plain,
% 11.66/7.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4521,plain,
% 11.66/7.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4522,plain,
% 11.66/7.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s6, s7)),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 11.66/7.95 tff(4523,plain,
% 11.66/7.95 (node99(c_s, s6, s7)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4522, 27, 536, 2095])).
% 11.66/7.95 tff(4524,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4525,plain,
% 11.66/7.95 ((node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7))) <=> (node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4526,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6)))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4525])).
% 11.66/7.95 tff(4527,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4526, 4524])).
% 11.66/7.95 tff(4528,plain,
% 11.66/7.95 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s6) | node93(c_s, s6) | node94(c_s, s6) | node95(c_s, s6) | node96(c_s, s6) | node97(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4529,plain,
% 11.66/7.95 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | (~node99(c_s, s6, s7)) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6)),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 11.66/7.95 tff(4530,plain,
% 11.66/7.95 (node94(c_s, s6) | node92(c_s, s6) | node98(c_s, s6, s7) | node96(c_s, s6) | node97(c_s, s6) | node95(c_s, s6) | node93(c_s, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4529, 644, 4523])).
% 11.66/7.95 tff(4531,plain,
% 11.66/7.95 (node94(c_s, s6) | node98(c_s, s6, s7) | node96(c_s, s6) | node93(c_s, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4530, 4519, 4508, 4504])).
% 11.66/7.95 tff(4532,plain,
% 11.66/7.95 (node98(c_s, s6, s7)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4531, 4395, 4391, 3943])).
% 11.66/7.95 tff(4533,assumption,(node98(c_s, s6, s7)), introduced(assumption)).
% 11.66/7.95 tff(4534,assumption,(m_state_v_CVM(c_s, s7, c_down)), introduced(assumption)).
% 11.66/7.95 tff(4535,assumption,(~m_state_v_CVM(c_s, s6, c_down)), introduced(assumption)).
% 11.66/7.95 tff(4536,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4537,plain,
% 11.66/7.95 (((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down))) <=> (m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4538,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7))))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4537])).
% 11.66/7.95 tff(4539,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7)))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4538, 4536])).
% 11.66/7.95 tff(4540,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4541,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down)) | (~node98(c_s, s6, s7))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 11.66/7.95 tff(4542,plain,
% 11.66/7.95 ($false),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4541, 662, 4535, 4534, 4533])).
% 11.66/7.95 tff(4543,plain,((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_down) | (~m_state_v_CVM(c_s, s7, c_down))), inference(lemma,lemma(discharge,[]))).
% 11.66/7.95 tff(4544,plain,
% 11.66/7.95 (~m_state_v_CVM(c_s, s7, c_down)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4543, 4532, 3932])).
% 11.66/7.95 tff(4545,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s7, c_down) | (~node97(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s7, c_down) | (~node97(c_s, s7)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4546,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | (m_state_v_CVM(c_s, s7, c_down) | (~node97(c_s, s7)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4547,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node97(J0, X)))) | m_state_v_CVM(c_s, s7, c_down) | (~node97(c_s, s7))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 11.66/7.95 tff(4548,plain,
% 11.66/7.95 (~node97(c_s, s7)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4547, 582, 4544])).
% 11.66/7.95 tff(4549,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4550,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4551,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s6)) | m_state_v_CVM(c_s, s6, c_down)),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 11.66/7.95 tff(4552,plain,
% 11.66/7.95 (~node78(c_s, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4551, 679, 3932])).
% 11.66/7.95 tff(4553,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4554,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4555,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovb) | (~node83(c_s, s5))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 11.66/7.95 tff(4556,plain,
% 11.66/7.95 (~node83(c_s, s5)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4555, 3765, 3897])).
% 11.66/7.95 tff(4557,plain,
% 11.66/7.95 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4558,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5)))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4559,plain,
% 11.66/7.95 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node84(c_s, s5))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 11.66/7.95 tff(4560,plain,
% 11.66/7.95 (~node84(c_s, s5)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4559, 3747, 3882])).
% 11.66/7.95 tff(4561,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4562,plain,
% 11.66/7.95 (((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd)) <=> (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4563,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5))))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4562])).
% 11.66/7.95 tff(4564,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5)))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4563, 4561])).
% 11.66/7.95 tff(4565,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s4, s5)) | (~m_state_v_gvp(c_s, s4, c_sd)) | m_state_v_gvp(c_s, s5, c_sd))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4566,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s5, c_sd) | (~m_state_v_gvp(c_s, s4, c_sd)) | (~node81(c_s, s4, s5))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 11.66/7.95 tff(4567,plain,
% 11.66/7.95 (m_state_v_gvp(c_s, s5, c_sd)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4566, 697, 4441, 3875])).
% 11.66/7.95 tff(4568,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4569,plain,
% 11.66/7.95 (((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle)) <=> ((~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4570,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5))))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4569])).
% 11.66/7.95 tff(4571,plain,
% 11.66/7.95 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5)))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4570, 4568])).
% 11.66/7.95 tff(4572,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s4, s5)) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4573,plain,
% 11.66/7.95 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s4, c_idle)) | m_state_v_CVM(c_s, s5, c_idle) | (~node98(c_s, s4, s5))),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 11.66/7.95 tff(4574,plain,
% 11.66/7.95 (m_state_v_CVM(c_s, s5, c_idle)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4573, 815, 4406, 1812])).
% 11.66/7.95 tff(4575,plain,
% 11.66/7.95 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4576,plain,
% 11.66/7.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.95 tff(4577,plain,
% 11.66/7.95 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s5, s6)),
% 11.66/7.95 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 11.66/7.95 tff(4578,plain,
% 11.66/7.95 (node87(c_s, s5, s6)),
% 11.66/7.95 inference(unit_resolution,[status(thm)],[4577, 62, 714, 14])).
% 11.66/7.95 tff(4579,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4580,plain,
% 11.66/7.95 (((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)) <=> ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6)))),
% 11.66/7.95 inference(rewrite,[status(thm)],[])).
% 11.66/7.95 tff(4581,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6))))),
% 11.66/7.95 inference(monotonicity,[status(thm)],[4580])).
% 11.66/7.95 tff(4582,plain,
% 11.66/7.95 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6)))),
% 11.66/7.95 inference(transitivity,[status(thm)],[4581, 4579])).
% 11.66/7.95 tff(4583,plain,
% 11.66/7.95 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | (~m_state_v_CVM(c_s, s5, c_idle)) | node83(c_s, s5) | node84(c_s, s5) | (~node87(c_s, s5, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 11.66/7.95 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4584,plain,
% 11.66/7.96 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node87(c_s, s5, s6))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 11.66/7.96 tff(4585,plain,
% 11.66/7.96 ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd) | node84(c_s, s5) | node83(c_s, s5) | (~m_state_v_CVM(c_s, s5, c_idle))),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4584, 3783, 4578])).
% 11.66/7.96 tff(4586,plain,
% 11.66/7.96 (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4585, 4574, 4567, 4560, 4556])).
% 11.66/7.96 tff(4587,plain,
% 11.66/7.96 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4588,plain,
% 11.66/7.96 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4589,plain,
% 11.66/7.96 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 11.66/7.96 tff(4590,plain,
% 11.66/7.96 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4589, 3798, 4586])).
% 11.66/7.96 tff(4591,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4592,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4593,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 11.66/7.96 tff(4594,plain,
% 11.66/7.96 (~node79(c_s, s6)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4593, 3812, 4590])).
% 11.66/7.96 tff(4595,plain,
% 11.66/7.96 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4596,plain,
% 11.66/7.96 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4597,plain,
% 11.66/7.96 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_sd))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 11.66/7.96 tff(4598,plain,
% 11.66/7.96 (~m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4597, 3834, 4586])).
% 11.66/7.96 tff(4599,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4600,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4601,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovb)),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 11.66/7.96 tff(4602,plain,
% 11.66/7.96 (~node77(c_s, s6)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4601, 3848, 4598])).
% 11.66/7.96 tff(4603,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4604,plain,
% 11.66/7.96 ((m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6))) <=> ((~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4605,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | ((~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)))),
% 11.66/7.96 inference(monotonicity,[status(thm)],[4604])).
% 11.66/7.96 tff(4606,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf))),
% 11.66/7.96 inference(transitivity,[status(thm)],[4605, 4603])).
% 11.66/7.96 tff(4607,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf) | (~node80(c_s, s6)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4608,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (~node80(c_s, s6)) | m_state_v_gripper_status(c_s, s6, c_gripperstoppedat_ovf)),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 11.66/7.96 tff(4609,plain,
% 11.66/7.96 (~node80(c_s, s6)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4608, 3823, 4590])).
% 11.66/7.96 tff(4610,plain,
% 11.66/7.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4611,plain,
% 11.66/7.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4612,plain,
% 11.66/7.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s6, s7)),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 11.66/7.96 tff(4613,plain,
% 11.66/7.96 (node82(c_s, s6, s7)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4612, 62, 313, 2095])).
% 11.66/7.96 tff(4614,plain,
% 11.66/7.96 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4615,plain,
% 11.66/7.96 ((node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))) <=> (node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4616,plain,
% 11.66/7.96 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))))),
% 11.66/7.96 inference(monotonicity,[status(thm)],[4615])).
% 11.66/7.96 tff(4617,plain,
% 11.66/7.96 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 11.66/7.96 inference(transitivity,[status(thm)],[4616, 4614])).
% 11.66/7.96 tff(4618,plain,
% 11.66/7.96 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s6) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4619,plain,
% 11.66/7.96 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7) | (~node82(c_s, s6, s7))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 11.66/7.96 tff(4620,plain,
% 11.66/7.96 (node78(c_s, s6) | node79(c_s, s6) | node80(c_s, s6) | node77(c_s, s6) | node81(c_s, s6, s7)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4619, 405, 4613])).
% 11.66/7.96 tff(4621,plain,
% 11.66/7.96 (node78(c_s, s6) | node81(c_s, s6, s7)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4620, 4609, 4602, 4594])).
% 11.66/7.96 tff(4622,plain,
% 11.66/7.96 (node81(c_s, s6, s7)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4621, 4552])).
% 11.66/7.96 tff(4623,plain,
% 11.66/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4624,plain,
% 11.66/7.96 (((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb))) <=> ((~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4625,plain,
% 11.66/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7))))),
% 11.66/7.96 inference(monotonicity,[status(thm)],[4624])).
% 11.66/7.96 tff(4626,plain,
% 11.66/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7)))),
% 11.66/7.96 inference(transitivity,[status(thm)],[4625, 4623])).
% 11.66/7.96 tff(4627,plain,
% 11.66/7.96 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovb) | (~m_state_v_gvp(c_s, s7, c_ovb)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4628,plain,
% 11.66/7.96 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovb)) | m_state_v_gvp(c_s, s6, c_ovb) | (~node81(c_s, s6, s7))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4627, 4626])).
% 11.66/7.96 tff(4629,plain,
% 11.66/7.96 (~m_state_v_gvp(c_s, s7, c_ovb)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4628, 422, 4500, 4622])).
% 11.66/7.96 tff(4630,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4631,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4632,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node92(c_s, s7))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 11.66/7.96 tff(4633,plain,
% 11.66/7.96 (~node92(c_s, s7)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4632, 868, 4629])).
% 11.66/7.96 tff(4634,plain,
% 11.66/7.96 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))),
% 11.66/7.96 inference(rewrite,[status(thm)],[])).
% 11.66/7.96 tff(4635,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5)))),
% 11.66/7.96 inference(quant_inst,[status(thm)],[])).
% 11.66/7.96 tff(4636,plain,
% 11.66/7.96 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node182(c_s, s5))),
% 11.66/7.96 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 11.66/7.96 tff(4637,plain,
% 11.66/7.96 (~node182(c_s, s5)),
% 11.66/7.96 inference(unit_resolution,[status(thm)],[4636, 1281, 4359])).
% 11.66/7.96 tff(4638,plain,
% 11.66/7.96 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node164(J0, X))))),
% 11.71/7.96 inference(bind,[status(th)],[])).
% 11.71/7.96 tff(4639,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.71/7.96 inference(quant_intro,[status(thm)],[4638])).
% 11.71/7.96 tff(4640,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4641,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_2')).
% 11.71/7.96 tff(4642,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 11.71/7.96 tff(4643,plain,(
% 11.71/7.96 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.71/7.96 inference(skolemize,[status(sab)],[4642])).
% 11.71/7.96 tff(4644,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4643, 4639])).
% 11.71/7.96 tff(4645,plain,
% 11.71/7.96 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4646,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node164(c_s, s3)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4647,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node164(c_s, s3))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 11.71/7.96 tff(4648,plain,
% 11.71/7.96 (~node164(c_s, s3)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4647, 4644, 4223])).
% 11.71/7.96 tff(4649,plain,
% 11.71/7.96 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node167(J0, X))))),
% 11.71/7.96 inference(bind,[status(th)],[])).
% 11.71/7.96 tff(4650,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.71/7.96 inference(quant_intro,[status(thm)],[4649])).
% 11.71/7.96 tff(4651,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4652,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_14')).
% 11.71/7.96 tff(4653,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 11.71/7.96 tff(4654,plain,(
% 11.71/7.96 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.71/7.96 inference(skolemize,[status(sab)],[4653])).
% 11.71/7.96 tff(4655,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4654, 4650])).
% 11.71/7.96 tff(4656,plain,
% 11.71/7.96 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4657,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node167(c_s, s3)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4658,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node167(c_s, s3))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 11.71/7.96 tff(4659,plain,
% 11.71/7.96 (~node167(c_s, s3)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4658, 4655, 4223])).
% 11.71/7.96 tff(4660,plain,
% 11.71/7.96 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4661,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4662,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node166(c_s, s3))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 11.71/7.96 tff(4663,plain,
% 11.71/7.96 (~node166(c_s, s3)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4662, 4135, 3679])).
% 11.71/7.96 tff(4664,plain,
% 11.71/7.96 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))))),
% 11.71/7.96 inference(bind,[status(th)],[])).
% 11.71/7.96 tff(4665,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.71/7.96 inference(quant_intro,[status(thm)],[4664])).
% 11.71/7.96 tff(4666,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4667,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_6')).
% 11.71/7.96 tff(4668,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4667, 4666])).
% 11.71/7.96 tff(4669,plain,(
% 11.71/7.96 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.71/7.96 inference(skolemize,[status(sab)],[4668])).
% 11.71/7.96 tff(4670,plain,
% 11.71/7.96 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4669, 4665])).
% 11.71/7.96 tff(4671,plain,
% 11.71/7.96 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4672,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4673,plain,
% 11.71/7.96 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~node165(c_s, s3))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 11.71/7.96 tff(4674,plain,
% 11.71/7.96 (~node165(c_s, s3)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4673, 4670, 4286])).
% 11.71/7.96 tff(4675,plain,
% 11.71/7.96 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4676,plain,
% 11.71/7.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4677,plain,
% 11.71/7.96 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s3, s4)) | node169(c_s, s3, s4) | (~m_ERTable_v_s(c_ERT, c_s))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 11.71/7.96 tff(4678,plain,
% 11.71/7.96 (node169(c_s, s3, s4)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4677, 1505, 4047, 911])).
% 11.71/7.96 tff(4679,plain,
% 11.71/7.96 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4680,plain,
% 11.71/7.96 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4681,plain,
% 11.71/7.96 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4) | (~node169(c_s, s3, s4))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 11.71/7.96 tff(4682,plain,
% 11.71/7.96 (node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | node167(c_s, s3) | node168(c_s, s3, s4)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4681, 4149, 4678])).
% 11.71/7.96 tff(4683,plain,
% 11.71/7.96 (node168(c_s, s3, s4)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4682, 4674, 4663, 4659, 4648])).
% 11.71/7.96 tff(4684,plain,
% 11.71/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4685,plain,
% 11.71/7.96 (((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise))) <=> (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.71/7.96 inference(rewrite,[status(thm)],[])).
% 11.71/7.96 tff(4686,plain,
% 11.71/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4))))),
% 11.71/7.96 inference(monotonicity,[status(thm)],[4685])).
% 11.71/7.96 tff(4687,plain,
% 11.71/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4)))),
% 11.71/7.96 inference(transitivity,[status(thm)],[4686, 4684])).
% 11.71/7.96 tff(4688,plain,
% 11.71/7.96 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)))),
% 11.71/7.96 inference(quant_inst,[status(thm)],[])).
% 11.71/7.96 tff(4689,plain,
% 11.71/7.96 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_clockwise) | (~m_state_v_TRM(c_s, s4, c_clockwise)) | (~node168(c_s, s3, s4))),
% 11.71/7.96 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 11.71/7.96 tff(4690,plain,
% 11.71/7.96 (~m_state_v_TRM(c_s, s4, c_clockwise)),
% 11.71/7.96 inference(unit_resolution,[status(thm)],[4689, 4184, 4286, 4683])).
% 11.71/7.96 tff(4691,plain,
% 11.71/7.96 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4692,plain,
% 11.71/7.97 (((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4693,plain,
% 11.71/7.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise))))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4692])).
% 11.71/7.97 tff(4694,plain,
% 11.71/7.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4693, 4691])).
% 11.71/7.97 tff(4695,plain,
% 11.71/7.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s4, c_counterclockwise)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4696,plain,
% 11.71/7.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s4, c_counterclockwise))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 11.71/7.97 tff(4697,plain,
% 11.71/7.97 (~m_state_v_TRM(c_s, s4, c_counterclockwise)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4696, 4184, 4290, 4683])).
% 11.71/7.97 tff(4698,plain,
% 11.71/7.97 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4699,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4700,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s4, s5)),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 11.71/7.97 tff(4701,plain,
% 11.71/7.97 (node26(c_s, s4, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4700, 62, 4201, 1043])).
% 11.71/7.97 tff(4702,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4703,plain,
% 11.71/7.97 ((node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise)) <=> (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4704,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5))))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4703])).
% 11.71/7.97 tff(4705,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5)))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4704, 4702])).
% 11.71/7.97 tff(4706,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s4, s5) | (~node26(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4707,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5) | (~node26(c_s, s4, s5))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 11.71/7.97 tff(4708,plain,
% 11.71/7.97 (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node25(c_s, s4, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4707, 4304, 4701])).
% 11.71/7.97 tff(4709,plain,
% 11.71/7.97 (node25(c_s, s4, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4708, 4697, 4690])).
% 11.71/7.97 tff(4710,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4711,plain,
% 11.71/7.97 ((m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5))) <=> (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4712,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5))))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4711])).
% 11.71/7.97 tff(4713,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5)))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4712, 4710])).
% 11.71/7.97 tff(4714,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s4) | (~node25(c_s, s4, s5)) | (~m_state_v_minRot(c_s, s5)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4715,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s4) | (~m_state_v_minRot(c_s, s5)) | (~node25(c_s, s4, s5))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 11.71/7.97 tff(4716,plain,
% 11.71/7.97 (~m_state_v_minRot(c_s, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4715, 4322, 4329, 4709])).
% 11.71/7.97 tff(4717,plain,
% 11.71/7.97 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node183(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node183(c_s, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4718,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node183(c_s, s5)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4719,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node183(c_s, s5))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 11.71/7.97 tff(4720,plain,
% 11.71/7.97 (~node183(c_s, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4719, 4336, 4716])).
% 11.71/7.97 tff(4721,plain,
% 11.71/7.97 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4722,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4723,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s5, s6)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s5, s6)),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 11.71/7.97 tff(4724,plain,
% 11.71/7.97 (node185(c_s, s5, s6)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4723, 1247, 1244, 14])).
% 11.71/7.97 tff(4725,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4726,plain,
% 11.71/7.97 ((node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6))) <=> (node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4727,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6)))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4726])).
% 11.71/7.97 tff(4728,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4727, 4725])).
% 11.71/7.97 tff(4729,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6) | (~node185(c_s, s5, s6)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4730,plain,
% 11.71/7.97 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node182(c_s, s5) | node183(c_s, s5) | (~node185(c_s, s5, s6)) | node184(c_s, s5, s6)),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4729, 4728])).
% 11.71/7.97 tff(4731,plain,
% 11.71/7.97 (node182(c_s, s5) | node183(c_s, s5) | node184(c_s, s5, s6)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4730, 1315, 4724])).
% 11.71/7.97 tff(4732,plain,
% 11.71/7.97 (node184(c_s, s5, s6)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4731, 4720, 4637])).
% 11.71/7.97 tff(4733,plain,
% 11.71/7.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4734,plain,
% 11.71/7.97 (((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on))) <=> (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4735,plain,
% 11.71/7.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6))))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4734])).
% 11.71/7.97 tff(4736,plain,
% 11.71/7.97 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6)))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4735, 4733])).
% 11.71/7.97 tff(4737,plain,
% 11.71/7.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s5, s6)) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4738,plain,
% 11.71/7.97 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s5, c_on) | (~m_state_v_FBM(c_s, s6, c_on)) | (~node184(c_s, s5, s6))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 11.71/7.97 tff(4739,plain,
% 11.71/7.97 (~m_state_v_FBM(c_s, s6, c_on)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4738, 1332, 4359, 4732])).
% 11.71/7.97 tff(4740,plain,
% 11.71/7.97 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4741,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4742,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node13(c_s, s6))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 11.71/7.97 tff(4743,plain,
% 11.71/7.97 (~node13(c_s, s6)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4742, 1631, 4739])).
% 11.71/7.97 tff(4744,plain,
% 11.71/7.97 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s5, c_off) | (~node88(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s5, c_off) | (~node88(c_s, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4745,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s5, c_off) | (~node88(c_s, s5)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4746,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s5, c_off) | (~node88(c_s, s5))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 11.71/7.97 tff(4747,plain,
% 11.71/7.97 (~node88(c_s, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4746, 1905, 2059])).
% 11.71/7.97 tff(4748,plain,
% 11.71/7.97 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node89(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node89(c_s, s5)))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4749,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s5, c_ovf) | (~node89(c_s, s5)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4750,plain,
% 11.71/7.97 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s5, c_ovf) | (~node89(c_s, s5))),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 11.71/7.97 tff(4751,plain,
% 11.71/7.97 (~node89(c_s, s5)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4750, 1830, 3882])).
% 11.71/7.97 tff(4752,plain,
% 11.71/7.97 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4753,plain,
% 11.71/7.97 (((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 11.71/7.97 inference(rewrite,[status(thm)],[])).
% 11.71/7.97 tff(4754,plain,
% 11.71/7.97 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6)))),
% 11.71/7.97 inference(monotonicity,[status(thm)],[4753])).
% 11.71/7.97 tff(4755,plain,
% 11.71/7.97 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6))),
% 11.71/7.97 inference(transitivity,[status(thm)],[4754, 4752])).
% 11.71/7.97 tff(4756,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s5, s6)) | node91(c_s, s5, s6) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.71/7.97 inference(quant_inst,[status(thm)],[])).
% 11.71/7.97 tff(4757,plain,
% 11.71/7.97 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s5, s6)),
% 11.71/7.97 inference(modus_ponens,[status(thm)],[4756, 4755])).
% 11.71/7.97 tff(4758,plain,
% 11.71/7.97 (node91(c_s, s5, s6)),
% 11.71/7.97 inference(unit_resolution,[status(thm)],[4757, 27, 1855, 14])).
% 11.71/7.97 tff(4759,plain,
% 11.71/7.97 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4760,plain,
% 11.71/7.98 ((node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6))) <=> (node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4761,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6)))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4760])).
% 11.71/7.98 tff(4762,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4761, 4759])).
% 11.71/7.98 tff(4763,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6) | (~node91(c_s, s5, s6)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4764,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node88(c_s, s5) | node89(c_s, s5) | (~node91(c_s, s5, s6)) | node90(c_s, s5, s6)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 11.71/7.98 tff(4765,plain,
% 11.71/7.98 (node88(c_s, s5) | node89(c_s, s5) | node90(c_s, s5, s6)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4764, 1872, 4758])).
% 11.71/7.98 tff(4766,plain,
% 11.71/7.98 (node90(c_s, s5, s6)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4765, 4751, 4747])).
% 11.71/7.98 tff(4767,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4768,plain,
% 11.71/7.98 (((~node90(c_s, s5, s6)) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off))) <=> (m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4769,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s5, s6)) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6))))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4768])).
% 11.71/7.98 tff(4770,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s5, s6)) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6)))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4769, 4767])).
% 11.71/7.98 tff(4771,plain,
% 11.71/7.98 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s5, s6)) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4772,plain,
% 11.71/7.98 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s5, c_off) | (~m_state_v_CMag(c_s, s6, c_off)) | (~node90(c_s, s5, s6))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 11.71/7.98 tff(4773,plain,
% 11.71/7.98 (~m_state_v_CMag(c_s, s6, c_off)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4772, 1926, 2059, 4766])).
% 11.71/7.98 tff(4774,plain,
% 11.71/7.98 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s6)) | m_state_v_CMag(c_s, s6, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s6)) | m_state_v_CMag(c_s, s6, c_off))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4775,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s6)) | m_state_v_CMag(c_s, s6, c_off))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4776,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s6)) | m_state_v_CMag(c_s, s6, c_off)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 11.71/7.98 tff(4777,plain,
% 11.71/7.98 (~node14(c_s, s6)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4776, 1712, 4773])).
% 11.71/7.98 tff(4778,plain,
% 11.71/7.98 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4779,plain,
% 11.71/7.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4780,plain,
% 11.71/7.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)) | node16(c_s, s6, s7)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 11.71/7.98 tff(4781,plain,
% 11.71/7.98 (node16(c_s, s6, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4780, 1360, 1645, 2095])).
% 11.71/7.98 tff(4782,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4783,plain,
% 11.71/7.98 ((node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7))) <=> (node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4784,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7))))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4783])).
% 11.71/7.98 tff(4785,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7)))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4784, 4782])).
% 11.71/7.98 tff(4786,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s6) | node14(c_s, s6) | node15(c_s, s6, s7) | (~node16(c_s, s6, s7)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4787,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6) | (~node16(c_s, s6, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 11.71/7.98 tff(4788,plain,
% 11.71/7.98 (node15(c_s, s6, s7) | node13(c_s, s6) | node14(c_s, s6)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4787, 1659, 4781])).
% 11.71/7.98 tff(4789,plain,
% 11.71/7.98 (node15(c_s, s6, s7) | node13(c_s, s6)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4788, 4777])).
% 11.71/7.98 tff(4790,plain,
% 11.71/7.98 (node15(c_s, s6, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4789, 4743])).
% 11.71/7.98 tff(4791,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4792,plain,
% 11.71/7.98 (((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7))) <=> ((~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4793,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7))))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4792])).
% 11.71/7.98 tff(4794,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7)))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4793, 4791])).
% 11.71/7.98 tff(4795,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s6, s7)) | m_state_v_ff(c_s, s6) | (~m_state_v_ff(c_s, s7)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4796,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (~m_state_v_ff(c_s, s7)) | m_state_v_ff(c_s, s6) | (~node15(c_s, s6, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 11.71/7.98 tff(4797,plain,
% 11.71/7.98 (~m_state_v_ff(c_s, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4796, 1734, 4790, 4387])).
% 11.71/7.98 tff(4798,plain,
% 11.71/7.98 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4799,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s7) | (~node94(c_s, s7)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4800,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | m_state_v_ff(c_s, s7) | (~node94(c_s, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 11.71/7.98 tff(4801,plain,
% 11.71/7.98 (~node94(c_s, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4800, 1793, 4797])).
% 11.71/7.98 tff(4802,plain,
% 11.71/7.98 (^[X: $i, J0: $i] : refl((m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))))),
% 11.71/7.98 inference(bind,[status(th)],[])).
% 11.71/7.98 tff(4803,plain,
% 11.71/7.98 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 11.71/7.98 inference(quant_intro,[status(thm)],[4802])).
% 11.71/7.98 tff(4804,plain,
% 11.71/7.98 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4805,axiom,(![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Crane_27')).
% 11.71/7.98 tff(4806,plain,
% 11.71/7.98 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 11.71/7.98 tff(4807,plain,(
% 11.71/7.98 ![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 11.71/7.98 inference(skolemize,[status(sab)],[4806])).
% 11.71/7.98 tff(4808,plain,
% 11.71/7.98 (![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4807, 4803])).
% 11.71/7.98 tff(4809,plain,
% 11.71/7.98 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s7, c_down) | (~node95(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s7, c_down) | (~node95(c_s, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4810,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | (m_state_v_CVM(c_s, s7, c_down) | (~node95(c_s, s7)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4811,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_down) | (~node95(J0, X)))) | m_state_v_CVM(c_s, s7, c_down) | (~node95(c_s, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 11.71/7.98 tff(4812,plain,
% 11.71/7.98 (~node95(c_s, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4811, 4808, 4544])).
% 11.71/7.98 tff(4813,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4814,plain,
% 11.71/7.98 (((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up))) <=> (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4815,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7))))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4814])).
% 11.71/7.98 tff(4816,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7)))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4815, 4813])).
% 11.71/7.98 tff(4817,plain,
% 11.71/7.98 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s6, s7)) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4818,plain,
% 11.71/7.98 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s6, c_up) | (~m_state_v_CVM(c_s, s7, c_up)) | (~node98(c_s, s6, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 11.71/7.98 tff(4819,plain,
% 11.71/7.98 (~m_state_v_CVM(c_s, s7, c_up)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4818, 662, 3939, 4532])).
% 11.71/7.98 tff(4820,plain,
% 11.71/7.98 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4821,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4822,plain,
% 11.71/7.98 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s7, c_up) | (~node93(c_s, s7))),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 11.71/7.98 tff(4823,plain,
% 11.71/7.98 (~node93(c_s, s7)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4822, 964, 4819])).
% 11.71/7.98 tff(4824,plain,
% 11.71/7.98 (succ(s7, s8) <=> succ(s7, s8)),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4825,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 11.71/7.98 tff(4826,plain,
% 11.71/7.98 (succ(s7, s8)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 11.71/7.98 tff(4827,plain,
% 11.71/7.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4828,plain,
% 11.71/7.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4829,plain,
% 11.71/7.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 11.71/7.98 tff(4830,plain,
% 11.71/7.98 (trans(s7, s8)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4829, 4826, 7])).
% 11.71/7.98 tff(4831,plain,
% 11.71/7.98 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4832,plain,
% 11.71/7.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4833,plain,
% 11.71/7.98 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s7, s8)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s7, s8)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 11.71/7.98 tff(4834,plain,
% 11.71/7.98 (node99(c_s, s7, s8)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4833, 27, 536, 4830])).
% 11.71/7.98 tff(4835,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4836,plain,
% 11.71/7.98 ((node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8))) <=> (node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4837,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8)))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4836])).
% 11.71/7.98 tff(4838,plain,
% 11.71/7.98 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8))),
% 11.71/7.98 inference(transitivity,[status(thm)],[4837, 4835])).
% 11.71/7.98 tff(4839,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s7) | node93(c_s, s7) | node94(c_s, s7) | node95(c_s, s7) | node96(c_s, s7) | node97(c_s, s7) | node98(c_s, s7, s8) | (~node99(c_s, s7, s8)))),
% 11.71/7.98 inference(quant_inst,[status(thm)],[])).
% 11.71/7.98 tff(4840,plain,
% 11.71/7.98 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | (~node99(c_s, s7, s8)) | node96(c_s, s7) | node98(c_s, s7, s8)),
% 11.71/7.98 inference(modus_ponens,[status(thm)],[4839, 4838])).
% 11.71/7.98 tff(4841,plain,
% 11.71/7.98 (node93(c_s, s7) | node95(c_s, s7) | node97(c_s, s7) | node94(c_s, s7) | node92(c_s, s7) | node96(c_s, s7) | node98(c_s, s7, s8)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4840, 644, 4834])).
% 11.71/7.98 tff(4842,plain,
% 11.71/7.98 (node96(c_s, s7) | node98(c_s, s7, s8)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4841, 4823, 4812, 4801, 4633, 4548])).
% 11.71/7.98 tff(4843,plain,
% 11.71/7.98 (node98(c_s, s7, s8)),
% 11.71/7.98 inference(unit_resolution,[status(thm)],[4842, 2157])).
% 11.71/7.98 tff(4844,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4845,plain,
% 11.71/7.98 (((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down))) <=> (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 11.71/7.98 inference(rewrite,[status(thm)],[])).
% 11.71/7.98 tff(4846,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8))))),
% 11.71/7.98 inference(monotonicity,[status(thm)],[4845])).
% 11.71/7.98 tff(4847,plain,
% 11.71/7.98 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8)))),
% 11.71/7.99 inference(transitivity,[status(thm)],[4846, 4844])).
% 11.71/7.99 tff(4848,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4849,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_down) | (~m_state_v_CVM(c_s, s8, c_down)) | (~node98(c_s, s7, s8))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 11.71/7.99 tff(4850,plain,
% 11.71/7.99 (~m_state_v_CVM(c_s, s8, c_down)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4849, 662, 4544, 4843])).
% 11.71/7.99 tff(4851,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4852,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4853,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s8)) | m_state_v_CVM(c_s, s8, c_down)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 11.71/7.99 tff(4854,plain,
% 11.71/7.99 (~node78(c_s, s8)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4853, 679, 4850])).
% 11.71/7.99 tff(4855,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4856,plain,
% 11.71/7.99 (((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf))) <=> ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4857,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7))))),
% 11.71/7.99 inference(monotonicity,[status(thm)],[4856])).
% 11.71/7.99 tff(4858,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7)))),
% 11.71/7.99 inference(transitivity,[status(thm)],[4857, 4855])).
% 11.71/7.99 tff(4859,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s6, s7)) | m_state_v_gvp(c_s, s6, c_ovf) | (~m_state_v_gvp(c_s, s7, c_ovf)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4860,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (~m_state_v_gvp(c_s, s7, c_ovf)) | m_state_v_gvp(c_s, s6, c_ovf) | (~node81(c_s, s6, s7))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 11.71/7.99 tff(4861,plain,
% 11.71/7.99 (~m_state_v_gvp(c_s, s7, c_ovf)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4860, 422, 4515, 4622])).
% 11.71/7.99 tff(4862,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4863,plain,
% 11.71/7.99 (((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle)) <=> (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4864,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6))))),
% 11.71/7.99 inference(monotonicity,[status(thm)],[4863])).
% 11.71/7.99 tff(4865,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6)))),
% 11.71/7.99 inference(transitivity,[status(thm)],[4864, 4862])).
% 11.71/7.99 tff(4866,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s5, s6)) | (~m_state_v_CVM(c_s, s5, c_idle)) | m_state_v_CVM(c_s, s6, c_idle))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4867,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s6, c_idle) | (~m_state_v_CVM(c_s, s5, c_idle)) | (~node98(c_s, s5, s6))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 11.71/7.99 tff(4868,plain,
% 11.71/7.99 (m_state_v_CVM(c_s, s6, c_idle)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4867, 815, 4574, 3918])).
% 11.71/7.99 tff(4869,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4870,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4871,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovb) | (~node83(c_s, s6))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 11.71/7.99 tff(4872,plain,
% 11.71/7.99 (~node83(c_s, s6)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4871, 3765, 4500])).
% 11.71/7.99 tff(4873,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4874,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4875,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node84(c_s, s6))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 11.71/7.99 tff(4876,plain,
% 11.71/7.99 (~node84(c_s, s6)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4875, 3747, 4515])).
% 11.71/7.99 tff(4877,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4878,plain,
% 11.71/7.99 (((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd)) <=> ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4879,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6))))),
% 11.71/7.99 inference(monotonicity,[status(thm)],[4878])).
% 11.71/7.99 tff(4880,plain,
% 11.71/7.99 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6)))),
% 11.71/7.99 inference(transitivity,[status(thm)],[4879, 4877])).
% 11.71/7.99 tff(4881,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s5, s6)) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4882,plain,
% 11.71/7.99 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s5, c_sd)) | m_state_v_gvp(c_s, s6, c_sd) | (~node81(c_s, s5, s6))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4881, 4880])).
% 11.71/7.99 tff(4883,plain,
% 11.71/7.99 (m_state_v_gvp(c_s, s6, c_sd)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4882, 697, 4567, 4493])).
% 11.71/7.99 tff(4884,plain,
% 11.71/7.99 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4885,plain,
% 11.71/7.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4886,plain,
% 11.71/7.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s6, s7)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4885, 4884])).
% 11.71/7.99 tff(4887,plain,
% 11.71/7.99 (node87(c_s, s6, s7)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4886, 62, 714, 2095])).
% 11.71/7.99 tff(4888,plain,
% 11.71/7.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4889,plain,
% 11.71/7.99 (((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4890,plain,
% 11.71/7.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7))))),
% 11.71/7.99 inference(monotonicity,[status(thm)],[4889])).
% 11.71/7.99 tff(4891,plain,
% 11.71/7.99 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7)))),
% 11.71/7.99 inference(transitivity,[status(thm)],[4890, 4888])).
% 11.71/7.99 tff(4892,plain,
% 11.71/7.99 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node83(c_s, s6) | node84(c_s, s6) | (~node87(c_s, s6, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4893,plain,
% 11.71/7.99 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6) | (~node87(c_s, s6, s7))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 11.71/7.99 tff(4894,plain,
% 11.71/7.99 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~m_state_v_CVM(c_s, s6, c_idle)) | node84(c_s, s6) | node83(c_s, s6)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4893, 3783, 4887])).
% 11.71/7.99 tff(4895,plain,
% 11.71/7.99 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd) | (~m_state_v_CVM(c_s, s6, c_idle))),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4894, 4883, 4876, 4872])).
% 11.71/7.99 tff(4896,plain,
% 11.71/7.99 (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4895, 4868])).
% 11.71/7.99 tff(4897,plain,
% 11.71/7.99 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4898,plain,
% 11.71/7.99 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4899,plain,
% 11.71/7.99 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 11.71/7.99 tff(4900,plain,
% 11.71/7.99 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4899, 3798, 4896])).
% 11.71/7.99 tff(4901,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4902,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | (m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4903,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : (m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf) | (~node80(J0, X)))) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf) | (~node80(c_s, s7))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 11.71/7.99 tff(4904,plain,
% 11.71/7.99 (~node80(c_s, s7)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4903, 3823, 4900])).
% 11.71/7.99 tff(4905,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))) <=> ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4906,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | ((~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4907,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node78(J0, X)) | m_state_v_CVM(J0, X, c_down))) | (~node78(c_s, s7)) | m_state_v_CVM(c_s, s7, c_down)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 11.71/7.99 tff(4908,plain,
% 11.71/7.99 (~node78(c_s, s7)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4907, 679, 4544])).
% 11.71/7.99 tff(4909,plain,
% 11.71/7.99 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4910,plain,
% 11.71/7.99 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd)))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4911,plain,
% 11.71/7.99 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_sd))),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 11.71/7.99 tff(4912,plain,
% 11.71/7.99 (~m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4911, 3834, 4896])).
% 11.71/7.99 tff(4913,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))) <=> ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4914,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | ((~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4915,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node77(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovb))) | (~node77(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovb)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 11.71/7.99 tff(4916,plain,
% 11.71/7.99 (~node77(c_s, s7)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4915, 3848, 4912])).
% 11.71/7.99 tff(4917,plain,
% 11.71/7.99 (((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))) <=> ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4918,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | ((~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4919,plain,
% 11.71/7.99 ((~![X: $i, J0: $i] : ((~node79(J0, X)) | m_state_v_gripper_status(J0, X, c_gripperstoppedat_ovf))) | (~node79(c_s, s7)) | m_state_v_gripper_status(c_s, s7, c_gripperstoppedat_ovf)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 11.71/7.99 tff(4920,plain,
% 11.71/7.99 (~node79(c_s, s7)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4919, 3812, 4900])).
% 11.71/7.99 tff(4921,plain,
% 11.71/7.99 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))),
% 11.71/7.99 inference(rewrite,[status(thm)],[])).
% 11.71/7.99 tff(4922,plain,
% 11.71/7.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8))),
% 11.71/7.99 inference(quant_inst,[status(thm)],[])).
% 11.71/7.99 tff(4923,plain,
% 11.71/7.99 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s7, s8)),
% 11.71/7.99 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 11.71/7.99 tff(4924,plain,
% 11.71/7.99 (node82(c_s, s7, s8)),
% 11.71/7.99 inference(unit_resolution,[status(thm)],[4923, 62, 313, 4830])).
% 11.71/7.99 tff(4925,plain,
% 11.71/7.99 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4926,plain,
% 11.71/8.00 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4927,plain,
% 11.71/8.00 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8) | (~node82(c_s, s7, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 11.71/8.00 tff(4928,plain,
% 11.71/8.00 (node77(c_s, s7) | node78(c_s, s7) | node79(c_s, s7) | node80(c_s, s7) | node81(c_s, s7, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4927, 405, 4924])).
% 11.71/8.00 tff(4929,plain,
% 11.71/8.00 (node81(c_s, s7, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4928, 4920, 4916, 4908, 4904])).
% 11.71/8.00 tff(4930,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4931,plain,
% 11.71/8.00 (((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovf) | (~m_state_v_gvp(c_s, s8, c_ovf))) <=> (m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4932,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovf) | (~m_state_v_gvp(c_s, s8, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf))))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4931])).
% 11.71/8.00 tff(4933,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovf) | (~m_state_v_gvp(c_s, s8, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 11.71/8.00 inference(transitivity,[status(thm)],[4932, 4930])).
% 11.71/8.00 tff(4934,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovf) | (~m_state_v_gvp(c_s, s8, c_ovf)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4935,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovf) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovf))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 11.71/8.00 tff(4936,plain,
% 11.71/8.00 (~m_state_v_gvp(c_s, s8, c_ovf)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4935, 422, 4929, 4861])).
% 11.71/8.00 tff(4937,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node79(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node79(c_s, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4938,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node79(c_s, s8)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4939,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node79(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node79(c_s, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 11.71/8.00 tff(4940,plain,
% 11.71/8.00 (~node79(c_s, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4939, 369, 4936])).
% 11.71/8.00 tff(4941,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node80(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node80(c_s, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4942,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node80(c_s, s8)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4943,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node80(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node80(c_s, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 11.71/8.00 tff(4944,plain,
% 11.71/8.00 (~node80(c_s, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4943, 380, 4936])).
% 11.71/8.00 tff(4945,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4946,plain,
% 11.71/8.00 (((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovb) | (~m_state_v_gvp(c_s, s8, c_ovb))) <=> (m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4947,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovb) | (~m_state_v_gvp(c_s, s8, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb))))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4946])).
% 11.71/8.00 tff(4948,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovb) | (~m_state_v_gvp(c_s, s8, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb)))),
% 11.71/8.00 inference(transitivity,[status(thm)],[4947, 4945])).
% 11.71/8.00 tff(4949,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s7, c_ovb) | (~m_state_v_gvp(c_s, s8, c_ovb)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4950,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s7, c_ovb) | (~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s8, c_ovb))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 11.71/8.00 tff(4951,plain,
% 11.71/8.00 (~m_state_v_gvp(c_s, s8, c_ovb)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4950, 422, 4929, 4629])).
% 11.71/8.00 tff(4952,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node77(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node77(c_s, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4953,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node77(c_s, s8)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4954,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node77(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node77(c_s, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 11.71/8.00 tff(4955,plain,
% 11.71/8.00 (~node77(c_s, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4954, 760, 4951])).
% 11.71/8.00 tff(4956,plain,
% 11.71/8.00 (succ(s8, s9) <=> succ(s8, s9)),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4957,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 11.71/8.00 tff(4958,plain,
% 11.71/8.00 (succ(s8, s9)),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 11.71/8.00 tff(4959,plain,
% 11.71/8.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4960,plain,
% 11.71/8.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4961,plain,
% 11.71/8.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 11.71/8.00 tff(4962,plain,
% 11.71/8.00 (trans(s8, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4961, 4958, 7])).
% 11.71/8.00 tff(4963,plain,
% 11.71/8.00 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4964,plain,
% 11.71/8.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4965,plain,
% 11.71/8.00 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node82(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node82(c_s, s8, s9)),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 11.71/8.00 tff(4966,plain,
% 11.71/8.00 (node82(c_s, s8, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4965, 62, 313, 4962])).
% 11.71/8.00 tff(4967,plain,
% 11.71/8.00 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4968,plain,
% 11.71/8.00 ((node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9))) <=> (node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4969,plain,
% 11.71/8.00 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8)))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4968])).
% 11.71/8.00 tff(4970,plain,
% 11.71/8.00 (((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8))),
% 11.71/8.00 inference(transitivity,[status(thm)],[4969, 4967])).
% 11.71/8.00 tff(4971,plain,
% 11.71/8.00 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | (node77(c_s, s8) | node78(c_s, s8) | node79(c_s, s8) | node80(c_s, s8) | node81(c_s, s8, s9) | (~node82(c_s, s8, s9)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4972,plain,
% 11.71/8.00 ((~![Y: $i, X: $i, J0: $i] : (node77(J0, X) | node78(J0, X) | node79(J0, X) | node80(J0, X) | node81(J0, X, Y) | (~node82(J0, X, Y)))) | node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | (~node82(c_s, s8, s9)) | node81(c_s, s8, s9) | node77(c_s, s8)),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 11.71/8.00 tff(4973,plain,
% 11.71/8.00 (node80(c_s, s8) | node79(c_s, s8) | node78(c_s, s8) | node81(c_s, s8, s9) | node77(c_s, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4972, 405, 4966])).
% 11.71/8.00 tff(4974,plain,
% 11.71/8.00 (node78(c_s, s8) | node81(c_s, s8, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4973, 4955, 4944, 4940])).
% 11.71/8.00 tff(4975,plain,
% 11.71/8.00 (node81(c_s, s8, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4974, 4854])).
% 11.71/8.00 tff(4976,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4977,plain,
% 11.71/8.00 (((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf))) <=> (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4978,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9))))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4977])).
% 11.71/8.00 tff(4979,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(transitivity,[status(thm)],[4978, 4976])).
% 11.71/8.00 tff(4980,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4981,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~m_state_v_gvp(c_s, s9, c_ovf)) | (~node81(c_s, s8, s9))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 11.71/8.00 tff(4982,plain,
% 11.71/8.00 (~m_state_v_gvp(c_s, s9, c_ovf)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4981, 422, 4936, 4975])).
% 11.71/8.00 tff(4983,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s9, c_ovf) | (~node84(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s9, c_ovf) | (~node84(c_s, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4984,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | (m_state_v_gvp(c_s, s9, c_ovf) | (~node84(c_s, s9)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4985,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node84(J0, X)))) | m_state_v_gvp(c_s, s9, c_ovf) | (~node84(c_s, s9))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 11.71/8.00 tff(4986,plain,
% 11.71/8.00 (~node84(c_s, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4985, 3747, 4982])).
% 11.71/8.00 tff(4987,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4988,plain,
% 11.71/8.00 (((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb))) <=> (m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4989,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9))))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4988])).
% 11.71/8.00 tff(4990,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9)))),
% 11.71/8.00 inference(transitivity,[status(thm)],[4989, 4987])).
% 11.71/8.00 tff(4991,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | ((~node81(c_s, s8, s9)) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4992,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | m_state_v_gvp(J0, X, V) | (~m_state_v_gvp(J0, Y, V)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~m_state_v_gvp(c_s, s9, c_ovb)) | (~node81(c_s, s8, s9))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 11.71/8.00 tff(4993,plain,
% 11.71/8.00 (~m_state_v_gvp(c_s, s9, c_ovb)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4992, 422, 4951, 4975])).
% 11.71/8.00 tff(4994,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s9, c_ovb) | (~node83(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s9, c_ovb) | (~node83(c_s, s9)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4995,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | (m_state_v_gvp(c_s, s9, c_ovb) | (~node83(c_s, s9)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(4996,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node83(J0, X)))) | m_state_v_gvp(c_s, s9, c_ovb) | (~node83(c_s, s9))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 11.71/8.00 tff(4997,plain,
% 11.71/8.00 (~node83(c_s, s9)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[4996, 3765, 4993])).
% 11.71/8.00 tff(4998,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(4999,plain,
% 11.71/8.00 (((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up))) <=> (m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(5000,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | (m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8))))),
% 11.71/8.00 inference(monotonicity,[status(thm)],[4999])).
% 11.71/8.00 tff(5001,plain,
% 11.71/8.00 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8)))),
% 11.71/8.00 inference(transitivity,[status(thm)],[5000, 4998])).
% 11.71/8.00 tff(5002,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | ((~node98(c_s, s7, s8)) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(5003,plain,
% 11.71/8.00 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | m_state_v_CVM(J0, X, V) | (~m_state_v_CVM(J0, Y, V)))) | m_state_v_CVM(c_s, s7, c_up) | (~m_state_v_CVM(c_s, s8, c_up)) | (~node98(c_s, s7, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 11.71/8.00 tff(5004,plain,
% 11.71/8.00 (~m_state_v_CVM(c_s, s8, c_up)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[5003, 662, 4819, 4843])).
% 11.71/8.00 tff(5005,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(5006,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | (m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(5007,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node93(J0, X)))) | m_state_v_CVM(c_s, s8, c_up) | (~node93(c_s, s8))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 11.71/8.00 tff(5008,plain,
% 11.71/8.00 (~node93(c_s, s8)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[5007, 964, 5004])).
% 11.71/8.00 tff(5009,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(5010,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | (m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(5011,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_CHM(J0, X, c_tofeedbelt) | (~node101(J0, X)))) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node101(c_s, s6))),
% 11.71/8.00 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 11.71/8.00 tff(5012,plain,
% 11.71/8.00 (~node101(c_s, s6)),
% 11.71/8.00 inference(unit_resolution,[status(thm)],[5011, 143, 2088])).
% 11.71/8.00 tff(5013,plain,
% 11.71/8.00 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s6) | (~node103(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s6) | (~node103(c_s, s6)))),
% 11.71/8.00 inference(rewrite,[status(thm)],[])).
% 11.71/8.00 tff(5014,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | (m_state_v_gob(c_s, s6) | (~node103(c_s, s6)))),
% 11.71/8.00 inference(quant_inst,[status(thm)],[])).
% 11.71/8.00 tff(5015,plain,
% 11.71/8.00 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node103(J0, X)))) | m_state_v_gob(c_s, s6) | (~node103(c_s, s6))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 11.71/8.01 tff(5016,plain,
% 11.71/8.01 (~node103(c_s, s6)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5015, 1117, 2146])).
% 11.71/8.01 tff(5017,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5018,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | (m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5019,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_CVM(J0, X, c_up) | (~node100(J0, X)))) | m_state_v_CVM(c_s, s6, c_up) | (~node100(c_s, s6))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 11.71/8.01 tff(5020,plain,
% 11.71/8.01 (~node100(c_s, s6)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5019, 900, 3939])).
% 11.71/8.01 tff(5021,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s6, c_off) | (~node102(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s6, c_off) | (~node102(c_s, s6)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5022,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | (m_state_v_CMag(c_s, s6, c_off) | (~node102(c_s, s6)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5023,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node102(J0, X)))) | m_state_v_CMag(c_s, s6, c_off) | (~node102(c_s, s6))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 11.71/8.01 tff(5024,plain,
% 11.71/8.01 (~node102(c_s, s6)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5023, 219, 4773])).
% 11.71/8.01 tff(5025,plain,
% 11.71/8.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5026,plain,
% 11.71/8.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5027,plain,
% 11.71/8.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node105(J0, X, Y))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node105(c_s, s6, s7)),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 11.71/8.01 tff(5028,plain,
% 11.71/8.01 (node105(c_s, s6, s7)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5027, 27, 24, 2095])).
% 11.71/8.01 tff(5029,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5030,plain,
% 11.71/8.01 ((node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7))) <=> (node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5031,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7))))),
% 11.71/8.01 inference(monotonicity,[status(thm)],[5030])).
% 11.71/8.01 tff(5032,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))),
% 11.71/8.01 inference(transitivity,[status(thm)],[5031, 5029])).
% 11.71/8.01 tff(5033,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | (node101(c_s, s6) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5034,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : (node101(J0, X) | node100(J0, X) | node102(J0, X) | node103(J0, X) | node104(J0, X, Y) | (~node105(J0, X, Y)))) | node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7) | (~node105(c_s, s6, s7))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 11.71/8.01 tff(5035,plain,
% 11.71/8.01 (node100(c_s, s6) | node102(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5034, 233, 5028])).
% 11.71/8.01 tff(5036,plain,
% 11.71/8.01 (node100(c_s, s6) | node103(c_s, s6) | node101(c_s, s6) | node104(c_s, s6, s7)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5035, 5024])).
% 11.71/8.01 tff(5037,plain,
% 11.71/8.01 (node101(c_s, s6) | node104(c_s, s6, s7)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5036, 5020, 5016])).
% 11.71/8.01 tff(5038,plain,
% 11.71/8.01 (node104(c_s, s6, s7)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5037, 5012])).
% 11.71/8.01 tff(5039,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5040,plain,
% 11.71/8.01 (((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt))) <=> ((~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5041,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7))))),
% 11.71/8.01 inference(monotonicity,[status(thm)],[5040])).
% 11.71/8.01 tff(5042,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(transitivity,[status(thm)],[5041, 5039])).
% 11.71/8.01 tff(5043,plain,
% 11.71/8.01 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~m_state_v_CHM(c_s, s7, c_todepbelt)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5044,plain,
% 11.71/8.01 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_todepbelt)) | m_state_v_CHM(c_s, s6, c_todepbelt) | (~node104(c_s, s6, s7))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5043, 5042])).
% 11.71/8.01 tff(5045,plain,
% 11.71/8.01 (~m_state_v_CHM(c_s, s7, c_todepbelt)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5044, 250, 2081, 5038])).
% 11.71/8.01 tff(5046,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5047,plain,
% 11.71/8.01 (((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> ((~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5048,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7))))),
% 11.71/8.01 inference(monotonicity,[status(thm)],[5047])).
% 11.71/8.01 tff(5049,plain,
% 11.71/8.01 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7)))),
% 11.71/8.01 inference(transitivity,[status(thm)],[5048, 5046])).
% 11.71/8.01 tff(5050,plain,
% 11.71/8.01 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | ((~node104(c_s, s6, s7)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5051,plain,
% 11.71/8.01 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node104(J0, X, Y)) | m_state_v_CHM(J0, X, V) | (~m_state_v_CHM(J0, Y, V)))) | (~m_state_v_CHM(c_s, s7, c_tofeedbelt)) | m_state_v_CHM(c_s, s6, c_tofeedbelt) | (~node104(c_s, s6, s7))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 11.71/8.01 tff(5052,plain,
% 11.71/8.01 (~m_state_v_CHM(c_s, s7, c_tofeedbelt)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5051, 250, 2088, 5038])).
% 11.71/8.01 tff(5053,plain,
% 11.71/8.01 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5054,plain,
% 11.71/8.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5055,plain,
% 11.71/8.01 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node74(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node74(c_s, s7, s8)),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5054, 5053])).
% 11.71/8.01 tff(5056,plain,
% 11.71/8.01 (node74(c_s, s7, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5055, 62, 1088, 4830])).
% 11.71/8.01 tff(5057,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5058,plain,
% 11.71/8.01 ((node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt)) <=> (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5059,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8))))),
% 11.71/8.01 inference(monotonicity,[status(thm)],[5058])).
% 11.71/8.01 tff(5060,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))) <=> ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8)))),
% 11.71/8.01 inference(transitivity,[status(thm)],[5059, 5057])).
% 11.71/8.01 tff(5061,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | (node73(c_s, s7, s8) | (~node74(c_s, s7, s8)) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5062,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : (node73(J0, X, Y) | (~node74(J0, X, Y)) | m_state_v_CHM(J0, X, c_todepbelt) | m_state_v_CHM(J0, X, c_tofeedbelt))) | m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8) | (~node74(c_s, s7, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 11.71/8.01 tff(5063,plain,
% 11.71/8.01 (m_state_v_CHM(c_s, s7, c_todepbelt) | m_state_v_CHM(c_s, s7, c_tofeedbelt) | node73(c_s, s7, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5062, 2109, 5056])).
% 11.71/8.01 tff(5064,plain,
% 11.71/8.01 (node73(c_s, s7, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5063, 5052, 5045])).
% 11.71/8.01 tff(5065,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5066,plain,
% 11.71/8.01 (((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8))) <=> ((~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5067,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8))))),
% 11.71/8.01 inference(monotonicity,[status(thm)],[5066])).
% 11.71/8.01 tff(5068,plain,
% 11.71/8.01 (((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8)))),
% 11.71/8.01 inference(transitivity,[status(thm)],[5067, 5065])).
% 11.71/8.01 tff(5069,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | ((~node73(c_s, s7, s8)) | m_state_v_gob(c_s, s7) | (~m_state_v_gob(c_s, s8)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5070,plain,
% 11.71/8.01 ((~![Y: $i, X: $i, J0: $i] : ((~node73(J0, X, Y)) | m_state_v_gob(J0, X) | (~m_state_v_gob(J0, Y)))) | (~m_state_v_gob(c_s, s8)) | m_state_v_gob(c_s, s7) | (~node73(c_s, s7, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5069, 5068])).
% 11.71/8.01 tff(5071,plain,
% 11.71/8.01 (~m_state_v_gob(c_s, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5070, 2139, 2153, 5064])).
% 11.71/8.01 tff(5072,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5073,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | (m_state_v_gob(c_s, s8) | (~node96(c_s, s8)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5074,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gob(J0, X) | (~node96(J0, X)))) | m_state_v_gob(c_s, s8) | (~node96(c_s, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 11.71/8.01 tff(5075,plain,
% 11.71/8.01 (~node96(c_s, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5074, 1201, 5071])).
% 11.71/8.01 tff(5076,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5077,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5078,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node92(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node92(c_s, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 11.71/8.01 tff(5079,plain,
% 11.71/8.01 (~node92(c_s, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5078, 868, 4951])).
% 11.71/8.01 tff(5080,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5081,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5082,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node95(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovf) | (~node95(c_s, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5081, 5080])).
% 11.71/8.01 tff(5083,plain,
% 11.71/8.01 (~node95(c_s, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5082, 608, 4936])).
% 11.71/8.01 tff(5084,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5085,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | (m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5086,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovb) | (~node97(J0, X)))) | m_state_v_gvp(c_s, s8, c_ovb) | (~node97(c_s, s8))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5085, 5084])).
% 11.71/8.01 tff(5087,plain,
% 11.71/8.01 (~node97(c_s, s8)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5086, 990, 4951])).
% 11.71/8.01 tff(5088,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5089,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | (m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5090,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node182(J0, X)))) | m_state_v_FBM(c_s, s6, c_on) | (~node182(c_s, s6))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5089, 5088])).
% 11.71/8.01 tff(5091,plain,
% 11.71/8.01 (~node182(c_s, s6)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5090, 1281, 4739])).
% 11.71/8.01 tff(5092,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5093,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5094,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node165(c_s, s4))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 11.71/8.01 tff(5095,plain,
% 11.71/8.01 (~node165(c_s, s4)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5094, 4670, 4690])).
% 11.71/8.01 tff(5096,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5097,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node167(c_s, s4)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5098,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node167(c_s, s4))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 11.71/8.01 tff(5099,plain,
% 11.71/8.01 (~node167(c_s, s4)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5098, 4655, 4329])).
% 11.71/8.01 tff(5100,plain,
% 11.71/8.01 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))),
% 11.71/8.01 inference(rewrite,[status(thm)],[])).
% 11.71/8.01 tff(5101,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node164(c_s, s4)))),
% 11.71/8.01 inference(quant_inst,[status(thm)],[])).
% 11.71/8.01 tff(5102,plain,
% 11.71/8.01 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node164(c_s, s4))),
% 11.71/8.01 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 11.71/8.01 tff(5103,plain,
% 11.71/8.01 (~node164(c_s, s4)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[5102, 4644, 4329])).
% 11.71/8.01 tff(5104,plain,
% 11.71/8.01 (~node122(c_s, s0)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[2704, 2701, 3958])).
% 11.71/8.01 tff(5105,plain,
% 11.71/8.01 (node130(c_s, s0, s1)),
% 11.71/8.01 inference(unit_resolution,[status(thm)],[2919, 5104])).
% 11.71/8.02 tff(5106,plain,
% 11.71/8.02 (~m_state_v_A1M(c_s, s1, c_retract)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2936, 2930, 1387, 5105])).
% 11.71/8.02 tff(5107,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5108,plain,
% 11.71/8.02 (((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend))) <=> (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5109,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1))))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5108])).
% 11.71/8.02 tff(5110,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1)))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5109, 5107])).
% 11.71/8.02 tff(5111,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s0, s1)) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5112,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s0, c_extend) | (~m_state_v_A1M(c_s, s1, c_extend)) | (~node130(c_s, s0, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 11.71/8.02 tff(5113,plain,
% 11.71/8.02 (~m_state_v_A1M(c_s, s1, c_extend)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5112, 2930, 2838, 5105])).
% 11.71/8.02 tff(5114,plain,
% 11.71/8.02 (~node29(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2631, 2628, 5113])).
% 11.71/8.02 tff(5115,plain,
% 11.71/8.02 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5116,plain,
% 11.71/8.02 ((m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2))) <=> (m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5117,plain,
% 11.71/8.02 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1)))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5116])).
% 11.71/8.02 tff(5118,plain,
% 11.71/8.02 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5117, 5115])).
% 11.71/8.02 tff(5119,plain,
% 11.71/8.02 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s1, c_retract) | node29(c_s, s1) | node30(c_s, s1) | node31(c_s, s1, s2) | (~node32(c_s, s1, s2)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5120,plain,
% 11.71/8.02 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node32(c_s, s1, s2)) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1)),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 11.71/8.02 tff(5121,plain,
% 11.71/8.02 (m_state_v_A1M(c_s, s1, c_retract) | node31(c_s, s1, s2) | node30(c_s, s1) | node29(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5120, 3043, 2602])).
% 11.71/8.02 tff(5122,plain,
% 11.71/8.02 (m_state_v_A1M(c_s, s1, c_retract) | node31(c_s, s1, s2) | node29(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5121, 2588])).
% 11.71/8.02 tff(5123,plain,
% 11.71/8.02 (node31(c_s, s1, s2)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5122, 5114, 5106])).
% 11.71/8.02 tff(5124,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5125,plain,
% 11.71/8.02 (((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted)) <=> ((~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5126,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2))))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5125])).
% 11.71/8.02 tff(5127,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2)))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5126, 5124])).
% 11.71/8.02 tff(5128,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s1, s2)) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5129,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s1, c_retracted)) | m_state_v_a1ext(c_s, s2, c_retracted) | (~node31(c_s, s1, s2))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 11.71/8.02 tff(5130,plain,
% 11.71/8.02 (m_state_v_a1ext(c_s, s2, c_retracted)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5129, 3660, 3667, 5123])).
% 11.71/8.02 tff(5131,plain,
% 11.71/8.02 (m_state_v_A1M(c_s, s1, c_idle)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2971, 5105])).
% 11.71/8.02 tff(5132,plain,
% 11.71/8.02 (~node122(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[3144, 2701, 4026])).
% 11.71/8.02 tff(5133,plain,
% 11.71/8.02 (~node128(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2975, 2867, 5106])).
% 11.71/8.02 tff(5134,plain,
% 11.71/8.02 (node130(c_s, s1, s2)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[3140, 5133, 5132])).
% 11.71/8.02 tff(5135,plain,
% 11.71/8.02 (m_state_v_A1M(c_s, s2, c_idle)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2991, 5134, 5131])).
% 11.71/8.02 tff(5136,plain,
% 11.71/8.02 (~node1(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2416, 1397, 5106])).
% 11.71/8.02 tff(5137,plain,
% 11.71/8.02 (m_state_v_tl(c_s, s2)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[2412, 5136])).
% 11.71/8.02 tff(5138,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5139,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5140,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s1, c_retract) | (~node150(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 11.71/8.02 tff(5141,plain,
% 11.71/8.02 (~node150(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5140, 3453, 5106])).
% 11.71/8.02 tff(5142,plain,
% 11.71/8.02 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))))),
% 11.71/8.02 inference(bind,[status(th)],[])).
% 11.71/8.02 tff(5143,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(quant_intro,[status(thm)],[5142])).
% 11.71/8.02 tff(5144,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5145,plain,
% 11.71/8.02 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y))) <=> ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V))))),
% 11.71/8.02 inference(bind,[status(th)],[])).
% 11.71/8.02 tff(5146,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(quant_intro,[status(thm)],[5145])).
% 11.71/8.02 tff(5147,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_RRM(J0, Y, V)) | m_state_v_RRM(J0, X, V)) | (~node158(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_176')).
% 11.71/8.02 tff(5148,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 11.71/8.02 tff(5149,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5148, 5144])).
% 11.71/8.02 tff(5150,plain,(
% 11.71/8.02 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(skolemize,[status(sab)],[5149])).
% 11.71/8.02 tff(5151,plain,
% 11.71/8.02 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5150, 5143])).
% 11.71/8.02 tff(5152,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5153,plain,
% 11.71/8.02 (((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise))) <=> (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5154,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1))))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5153])).
% 11.71/8.02 tff(5155,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1)))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5154, 5152])).
% 11.71/8.02 tff(5156,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5157,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_clockwise) | (~m_state_v_RRM(c_s, s1, c_clockwise)) | (~node158(c_s, s0, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 11.71/8.02 tff(5158,plain,
% 11.71/8.02 (~m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5157, 5151, 3380, 3485])).
% 11.71/8.02 tff(5159,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5160,plain,
% 11.71/8.02 ((m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1))) <=> ((~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5161,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | ((~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise)))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5160])).
% 11.71/8.02 tff(5162,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5161, 5159])).
% 11.71/8.02 tff(5163,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~node157(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5164,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (~node157(c_s, s1)) | m_state_v_RRM(c_s, s1, c_clockwise)),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 11.71/8.02 tff(5165,plain,
% 11.71/8.02 (~node157(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5164, 3387, 5158])).
% 11.71/8.02 tff(5166,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5167,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5168,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node156(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 11.71/8.02 tff(5169,plain,
% 11.71/8.02 (~node156(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5168, 3442, 2574])).
% 11.71/8.02 tff(5170,plain,
% 11.71/8.02 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))))),
% 11.71/8.02 inference(bind,[status(th)],[])).
% 11.71/8.02 tff(5171,plain,
% 11.71/8.02 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.71/8.02 inference(quant_intro,[status(thm)],[5170])).
% 11.71/8.02 tff(5172,plain,
% 11.71/8.02 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5173,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_140')).
% 11.71/8.02 tff(5174,plain,
% 11.71/8.02 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 11.71/8.02 tff(5175,plain,(
% 11.71/8.02 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.71/8.02 inference(skolemize,[status(sab)],[5174])).
% 11.71/8.02 tff(5176,plain,
% 11.71/8.02 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5175, 5171])).
% 11.71/8.02 tff(5177,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5178,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5179,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node153(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5178, 5177])).
% 11.71/8.02 tff(5180,plain,
% 11.71/8.02 (~node153(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5179, 5176, 2574])).
% 11.71/8.02 tff(5181,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5182,plain,
% 11.71/8.02 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress))) <=> (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5183,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1))))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5182])).
% 11.71/8.02 tff(5184,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5183, 5181])).
% 11.71/8.02 tff(5185,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5186,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~m_state_v_angle(c_s, s1, c_arm2topress)) | (~node41(c_s, s0, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 11.71/8.02 tff(5187,plain,
% 11.71/8.02 (~m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5186, 2567, 2485, 2557])).
% 11.71/8.02 tff(5188,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5189,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5190,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node151(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5189, 5188])).
% 11.71/8.02 tff(5191,plain,
% 11.71/8.02 (~node151(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5190, 3398, 5187])).
% 11.71/8.02 tff(5192,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5193,plain,
% 11.71/8.02 (((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5194,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1))))),
% 11.71/8.02 inference(monotonicity,[status(thm)],[5193])).
% 11.71/8.02 tff(5195,plain,
% 11.71/8.02 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1)))),
% 11.71/8.02 inference(transitivity,[status(thm)],[5194, 5192])).
% 11.71/8.02 tff(5196,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s0, s1)) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5197,plain,
% 11.71/8.02 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s0, c_arm2todepbelt) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)) | (~node41(c_s, s0, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 11.71/8.02 tff(5198,plain,
% 11.71/8.02 (~m_state_v_angle(c_s, s1, c_arm2todepbelt)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5197, 2567, 2507, 2557])).
% 11.71/8.02 tff(5199,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5200,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5201,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node152(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 11.71/8.02 tff(5202,plain,
% 11.71/8.02 (~node152(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5201, 3420, 5198])).
% 11.71/8.02 tff(5203,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5204,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1)))),
% 11.71/8.02 inference(quant_inst,[status(thm)],[])).
% 11.71/8.02 tff(5205,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node154(c_s, s1))),
% 11.71/8.02 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 11.71/8.02 tff(5206,plain,
% 11.71/8.02 (~node154(c_s, s1)),
% 11.71/8.02 inference(unit_resolution,[status(thm)],[5205, 3409, 5187])).
% 11.71/8.02 tff(5207,plain,
% 11.71/8.02 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node155(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node155(c_s, s1)))),
% 11.71/8.02 inference(rewrite,[status(thm)],[])).
% 11.71/8.02 tff(5208,plain,
% 11.71/8.02 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node155(c_s, s1)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5209,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node155(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node155(c_s, s1))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 11.71/8.03 tff(5210,plain,
% 11.71/8.03 (~node155(c_s, s1)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5209, 3431, 5198])).
% 11.71/8.03 tff(5211,plain,
% 11.71/8.03 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5212,plain,
% 11.71/8.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5213,plain,
% 11.71/8.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s1, s2)),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 11.71/8.03 tff(5214,plain,
% 11.71/8.03 (node159(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5213, 2729, 3365, 271])).
% 11.71/8.03 tff(5215,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5216,plain,
% 11.71/8.03 ((node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2))) <=> (node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5217,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2)))),
% 11.71/8.03 inference(monotonicity,[status(thm)],[5216])).
% 11.71/8.03 tff(5218,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2))),
% 11.71/8.03 inference(transitivity,[status(thm)],[5217, 5215])).
% 11.71/8.03 tff(5219,plain,
% 11.71/8.03 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s1) | node151(c_s, s1) | node152(c_s, s1) | node153(c_s, s1) | node154(c_s, s1) | node155(c_s, s1) | node156(c_s, s1) | node157(c_s, s1) | node158(c_s, s1, s2) | (~node159(c_s, s1, s2)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5220,plain,
% 11.71/8.03 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | (~node159(c_s, s1, s2)) | node158(c_s, s1, s2)),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 11.71/8.03 tff(5221,plain,
% 11.71/8.03 (node157(c_s, s1) | node156(c_s, s1) | node155(c_s, s1) | node154(c_s, s1) | node152(c_s, s1) | node151(c_s, s1) | node153(c_s, s1) | node150(c_s, s1) | node158(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5220, 3478, 5214])).
% 11.71/8.03 tff(5222,plain,
% 11.71/8.03 (node157(c_s, s1) | node150(c_s, s1) | node158(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5221, 5210, 5206, 5202, 5191, 5180, 5169])).
% 11.71/8.03 tff(5223,plain,
% 11.71/8.03 (node150(c_s, s1) | node158(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5222, 5165])).
% 11.71/8.03 tff(5224,plain,
% 11.71/8.03 (node158(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5223, 5141])).
% 11.71/8.03 tff(5225,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5226,plain,
% 11.71/8.03 (((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle)) <=> (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5227,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2))))),
% 11.71/8.03 inference(monotonicity,[status(thm)],[5226])).
% 11.71/8.03 tff(5228,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2)))),
% 11.71/8.03 inference(transitivity,[status(thm)],[5227, 5225])).
% 11.71/8.03 tff(5229,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s1, s2)) | (~m_state_v_RRM(c_s, s1, c_idle)) | m_state_v_RRM(c_s, s2, c_idle))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5230,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s2, c_idle) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node158(c_s, s1, s2))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 11.71/8.03 tff(5231,plain,
% 11.71/8.03 (m_state_v_RRM(c_s, s2, c_idle)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5230, 3495, 3502, 5224])).
% 11.71/8.03 tff(5232,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5233,plain,
% 11.71/8.03 (((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock))) <=> (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5234,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1))))),
% 11.71/8.03 inference(monotonicity,[status(thm)],[5233])).
% 11.71/8.03 tff(5235,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1)))),
% 11.71/8.03 inference(transitivity,[status(thm)],[5234, 5232])).
% 11.71/8.03 tff(5236,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s0, s1)) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5237,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s0, c_counterclock) | (~m_state_v_RRM(c_s, s1, c_counterclock)) | (~node158(c_s, s0, s1))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 11.71/8.03 tff(5238,plain,
% 11.71/8.03 (~m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5237, 5151, 2451, 3485])).
% 11.71/8.03 tff(5239,plain,
% 11.71/8.03 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5240,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5241,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s1)) | m_state_v_RRM(c_s, s1, c_counterclock)),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 11.71/8.03 tff(5242,plain,
% 11.71/8.03 (~node37(c_s, s1)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5241, 2461, 5238])).
% 11.71/8.03 tff(5243,plain,
% 11.71/8.03 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5244,plain,
% 11.71/8.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5245,plain,
% 11.71/8.03 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s1, s2)),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 11.71/8.03 tff(5246,plain,
% 11.71/8.03 (node42(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5245, 62, 2427, 271])).
% 11.71/8.03 tff(5247,plain,
% 11.71/8.03 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5248,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5249,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node38(c_s, s1))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 11.71/8.03 tff(5250,plain,
% 11.71/8.03 (~node38(c_s, s1)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5249, 2492, 5187])).
% 11.71/8.03 tff(5251,plain,
% 11.71/8.03 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5252,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5253,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node39(c_s, s1))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 11.71/8.03 tff(5254,plain,
% 11.71/8.03 (~node39(c_s, s1)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5253, 2514, 5198])).
% 11.71/8.03 tff(5255,plain,
% 11.71/8.03 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5256,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5257,plain,
% 11.71/8.03 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node40(c_s, s1))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 11.71/8.03 tff(5258,plain,
% 11.71/8.03 (~node40(c_s, s1)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5257, 2536, 2574])).
% 11.71/8.03 tff(5259,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5260,plain,
% 11.71/8.03 ((node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2))) <=> (node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5261,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2)))),
% 11.71/8.03 inference(monotonicity,[status(thm)],[5260])).
% 11.71/8.03 tff(5262,plain,
% 11.71/8.03 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2))),
% 11.71/8.03 inference(transitivity,[status(thm)],[5261, 5259])).
% 11.71/8.03 tff(5263,plain,
% 11.71/8.03 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s1) | node38(c_s, s1) | node39(c_s, s1) | node40(c_s, s1) | node41(c_s, s1, s2) | (~node42(c_s, s1, s2)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5264,plain,
% 11.71/8.03 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s1) | node39(c_s, s1) | node38(c_s, s1) | node37(c_s, s1) | (~node42(c_s, s1, s2)) | node41(c_s, s1, s2)),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 11.71/8.03 tff(5265,plain,
% 11.71/8.03 (node37(c_s, s1) | node41(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5264, 2550, 5258, 5254, 5250, 5246])).
% 11.71/8.03 tff(5266,plain,
% 11.71/8.03 (node41(c_s, s1, s2)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5265, 5242])).
% 11.71/8.03 tff(5267,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5268,plain,
% 11.71/8.03 (((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable)) <=> ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5269,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2))))),
% 11.71/8.03 inference(monotonicity,[status(thm)],[5268])).
% 11.71/8.03 tff(5270,plain,
% 11.71/8.03 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2)))),
% 11.71/8.03 inference(transitivity,[status(thm)],[5269, 5267])).
% 11.71/8.03 tff(5271,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s1, s2)) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5272,plain,
% 11.71/8.03 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle(c_s, s2, c_arm1totable) | (~node41(c_s, s1, s2))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 11.71/8.03 tff(5273,plain,
% 11.71/8.03 (m_state_v_angle(c_s, s2, c_arm1totable)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5272, 2666, 2673, 5266])).
% 11.71/8.03 tff(5274,plain,
% 11.71/8.03 (^[I0: $i, X: $i] : refl(((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))))),
% 11.71/8.03 inference(bind,[status(th)],[])).
% 11.71/8.03 tff(5275,plain,
% 11.71/8.03 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.03 inference(quant_intro,[status(thm)],[5274])).
% 11.71/8.03 tff(5276,plain,
% 11.71/8.03 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5277,axiom,(![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_49')).
% 11.71/8.03 tff(5278,plain,
% 11.71/8.03 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 11.71/8.03 tff(5279,plain,(
% 11.71/8.03 ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.03 inference(skolemize,[status(sab)],[5278])).
% 11.71/8.03 tff(5280,plain,
% 11.71/8.03 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5279, 5275])).
% 11.71/8.03 tff(5281,plain,
% 11.71/8.03 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s0, c_a2ip)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s0, c_a2ip)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))),
% 11.71/8.03 inference(rewrite,[status(thm)],[])).
% 11.71/8.03 tff(5282,plain,
% 11.71/8.03 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s0, c_a2ip)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))),
% 11.71/8.03 inference(quant_inst,[status(thm)],[])).
% 11.71/8.03 tff(5283,plain,
% 11.71/8.03 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_a2ip)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s0, c_a2ip)) | (~m_state_v_a2ext(c_s, s0, c_retracted))),
% 11.71/8.03 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 11.71/8.03 tff(5284,plain,
% 11.71/8.03 (~m_state_v_a2ext(c_s, s0, c_a2ip)),
% 11.71/8.03 inference(unit_resolution,[status(thm)],[5283, 5280, 2772])).
% 11.71/8.03 tff(5285,plain,
% 11.71/8.03 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))))),
% 11.71/8.03 inference(bind,[status(th)],[])).
% 11.71/8.03 tff(5286,plain,
% 11.71/8.03 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(quant_intro,[status(thm)],[5285])).
% 11.71/8.04 tff(5287,plain,
% 11.71/8.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5288,plain,
% 11.71/8.04 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y))) <=> ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V))))),
% 11.71/8.04 inference(bind,[status(th)],[])).
% 11.71/8.04 tff(5289,plain,
% 11.71/8.04 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(quant_intro,[status(thm)],[5288])).
% 11.71/8.04 tff(5290,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_a2ext(J0, Y, V)) | m_state_v_a2ext(J0, X, V)) | (~node35(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_52')).
% 11.71/8.04 tff(5291,plain,
% 11.71/8.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 11.71/8.04 tff(5292,plain,
% 11.71/8.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5291, 5287])).
% 11.71/8.04 tff(5293,plain,(
% 11.71/8.04 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(skolemize,[status(sab)],[5292])).
% 11.71/8.04 tff(5294,plain,
% 11.71/8.04 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5293, 5286])).
% 11.71/8.04 tff(5295,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5296,plain,
% 11.71/8.04 (((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip))) <=> (m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5297,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1))))),
% 11.71/8.04 inference(monotonicity,[status(thm)],[5296])).
% 11.71/8.04 tff(5298,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(transitivity,[status(thm)],[5297, 5295])).
% 11.71/8.04 tff(5299,plain,
% 11.71/8.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5300,plain,
% 11.71/8.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_a2ip) | (~m_state_v_a2ext(c_s, s1, c_a2ip)) | (~node35(c_s, s0, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 11.71/8.04 tff(5301,plain,
% 11.71/8.04 (~m_state_v_a2ext(c_s, s1, c_a2ip)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5300, 5294, 5284, 3633])).
% 11.71/8.04 tff(5302,plain,
% 11.71/8.04 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))))),
% 11.71/8.04 inference(bind,[status(th)],[])).
% 11.71/8.04 tff(5303,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.71/8.04 inference(quant_intro,[status(thm)],[5302])).
% 11.71/8.04 tff(5304,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5305,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_82')).
% 11.71/8.04 tff(5306,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 11.71/8.04 tff(5307,plain,(
% 11.71/8.04 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.71/8.04 inference(skolemize,[status(sab)],[5306])).
% 11.71/8.04 tff(5308,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5307, 5303])).
% 11.71/8.04 tff(5309,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~node136(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~node136(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5310,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~node136(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5311,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node136(J0, X)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~node136(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 11.71/8.04 tff(5312,plain,
% 11.71/8.04 (~node136(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5311, 5308, 5301])).
% 11.71/8.04 tff(5313,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5314,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5315,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node132(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 11.71/8.04 tff(5316,plain,
% 11.71/8.04 (~node132(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5315, 3170, 5187])).
% 11.71/8.04 tff(5317,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node133(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node133(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5318,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node133(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5319,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node133(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 11.71/8.04 tff(5320,plain,
% 11.71/8.04 (~node133(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5319, 3214, 5198])).
% 11.71/8.04 tff(5321,plain,
% 11.71/8.04 (^[I0: $i, X: $i] : refl(((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))))),
% 11.71/8.04 inference(bind,[status(th)],[])).
% 11.71/8.04 tff(5322,plain,
% 11.71/8.04 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.04 inference(quant_intro,[status(thm)],[5321])).
% 11.71/8.04 tff(5323,plain,
% 11.71/8.04 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted))) <=> ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5324,axiom,(![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_50')).
% 11.71/8.04 tff(5325,plain,
% 11.71/8.04 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 11.71/8.04 tff(5326,plain,(
% 11.71/8.04 ![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.04 inference(skolemize,[status(sab)],[5325])).
% 11.71/8.04 tff(5327,plain,
% 11.71/8.04 (![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5326, 5322])).
% 11.71/8.04 tff(5328,plain,
% 11.71/8.04 (((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s0, c_ob)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s0, c_ob)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5329,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | ((~m_state_v_a2ext(c_s, s0, c_ob)) | (~m_state_v_a2ext(c_s, s0, c_retracted)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5330,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_a2ext(I0, X, c_ob)) | (~m_state_v_a2ext(I0, X, c_retracted)))) | (~m_state_v_a2ext(c_s, s0, c_ob)) | (~m_state_v_a2ext(c_s, s0, c_retracted))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5329, 5328])).
% 11.71/8.04 tff(5331,plain,
% 11.71/8.04 (~m_state_v_a2ext(c_s, s0, c_ob)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5330, 5327, 2772])).
% 11.71/8.04 tff(5332,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5333,plain,
% 11.71/8.04 (((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob))) <=> (m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5334,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1))))),
% 11.71/8.04 inference(monotonicity,[status(thm)],[5333])).
% 11.71/8.04 tff(5335,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1)))),
% 11.71/8.04 inference(transitivity,[status(thm)],[5334, 5332])).
% 11.71/8.04 tff(5336,plain,
% 11.71/8.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s0, s1)) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5337,plain,
% 11.71/8.04 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s0, c_ob) | (~m_state_v_a2ext(c_s, s1, c_ob)) | (~node35(c_s, s0, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 11.71/8.04 tff(5338,plain,
% 11.71/8.04 (~m_state_v_a2ext(c_s, s1, c_ob)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5337, 5294, 5331, 3633])).
% 11.71/8.04 tff(5339,plain,
% 11.71/8.04 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))))),
% 11.71/8.04 inference(bind,[status(th)],[])).
% 11.71/8.04 tff(5340,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.71/8.04 inference(quant_intro,[status(thm)],[5339])).
% 11.71/8.04 tff(5341,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5342,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_86')).
% 11.71/8.04 tff(5343,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5342, 5341])).
% 11.71/8.04 tff(5344,plain,(
% 11.71/8.04 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.71/8.04 inference(skolemize,[status(sab)],[5343])).
% 11.71/8.04 tff(5345,plain,
% 11.71/8.04 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5344, 5340])).
% 11.71/8.04 tff(5346,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~node137(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~node137(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5347,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~node137(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5348,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~node137(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 11.71/8.04 tff(5349,plain,
% 11.71/8.04 (~node137(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5348, 5345, 5338])).
% 11.71/8.04 tff(5350,assumption,(~node136(c_s, s1)), introduced(assumption)).
% 11.71/8.04 tff(5351,assumption,(m_state_v_angle(c_s, s1, c_arm1totable)), introduced(assumption)).
% 11.71/8.04 tff(5352,plain,
% 11.71/8.04 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5353,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2topress)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5354,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 11.71/8.04 tff(5355,plain,
% 11.71/8.04 (~m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5354, 2481, 5351])).
% 11.71/8.04 tff(5356,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5357,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5358,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node134(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 11.71/8.04 tff(5359,plain,
% 11.71/8.04 (~node134(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5358, 3181, 5355])).
% 11.71/8.04 tff(5360,assumption,(~node132(c_s, s1)), introduced(assumption)).
% 11.71/8.04 tff(5361,assumption,(~node133(c_s, s1)), introduced(assumption)).
% 11.71/8.04 tff(5362,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5363,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5364,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node138(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 11.71/8.04 tff(5365,plain,
% 11.71/8.04 (~node138(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5364, 3203, 5355])).
% 11.71/8.04 tff(5366,assumption,(~node140(c_s, s1, s2)), introduced(assumption)).
% 11.71/8.04 tff(5367,assumption,(~node137(c_s, s1)), introduced(assumption)).
% 11.71/8.04 tff(5368,plain,
% 11.71/8.04 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5369,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5370,plain,
% 11.71/8.04 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | (~m_state_v_angle(c_s, s1, c_arm2todepbelt))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 11.71/8.04 tff(5371,plain,
% 11.71/8.04 (~m_state_v_angle(c_s, s1, c_arm2todepbelt)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5370, 2503, 5351])).
% 11.71/8.04 tff(5372,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5373,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5374,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node139(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 11.71/8.04 tff(5375,plain,
% 11.71/8.04 (~node139(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5374, 3247, 5371])).
% 11.71/8.04 tff(5376,plain,
% 11.71/8.04 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5377,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5378,plain,
% 11.71/8.04 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node135(c_s, s1))),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 11.71/8.04 tff(5379,plain,
% 11.71/8.04 (~node135(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5378, 3225, 5371])).
% 11.71/8.04 tff(5380,plain,
% 11.71/8.04 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5381,plain,
% 11.71/8.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5382,plain,
% 11.71/8.04 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s1, s2)),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 11.71/8.04 tff(5383,plain,
% 11.71/8.04 (node141(c_s, s1, s2)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5382, 2729, 3159, 271])).
% 11.71/8.04 tff(5384,plain,
% 11.71/8.04 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5385,plain,
% 11.71/8.04 ((node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2))) <=> (node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5386,plain,
% 11.71/8.04 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1)))),
% 11.71/8.04 inference(monotonicity,[status(thm)],[5385])).
% 11.71/8.04 tff(5387,plain,
% 11.71/8.04 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1))),
% 11.71/8.04 inference(transitivity,[status(thm)],[5386, 5384])).
% 11.71/8.04 tff(5388,plain,
% 11.71/8.04 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s1) | node133(c_s, s1) | node134(c_s, s1) | node135(c_s, s1) | node136(c_s, s1) | node137(c_s, s1) | node138(c_s, s1) | node139(c_s, s1) | node140(c_s, s1, s2) | (~node141(c_s, s1, s2)))),
% 11.71/8.04 inference(quant_inst,[status(thm)],[])).
% 11.71/8.04 tff(5389,plain,
% 11.71/8.04 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | (~node141(c_s, s1, s2)) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1)),
% 11.71/8.04 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 11.71/8.04 tff(5390,plain,
% 11.71/8.04 (node137(c_s, s1) | node140(c_s, s1, s2) | node135(c_s, s1) | node139(c_s, s1) | node138(c_s, s1) | node133(c_s, s1) | node132(c_s, s1) | node134(c_s, s1) | node136(c_s, s1)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5389, 3261, 5383])).
% 11.71/8.04 tff(5391,plain,
% 11.71/8.04 ($false),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5390, 5379, 5375, 5367, 5366, 5365, 5361, 5360, 5359, 5350])).
% 11.71/8.04 tff(5392,plain,((~m_state_v_angle(c_s, s1, c_arm1totable)) | node137(c_s, s1) | node140(c_s, s1, s2) | node133(c_s, s1) | node132(c_s, s1) | node136(c_s, s1)), inference(lemma,lemma(discharge,[]))).
% 11.71/8.04 tff(5393,plain,
% 11.71/8.04 (node140(c_s, s1, s2)),
% 11.71/8.04 inference(unit_resolution,[status(thm)],[5392, 5349, 2673, 5320, 5316, 5312])).
% 11.71/8.04 tff(5394,assumption,(~m_state_v_A2M(c_s, s2, c_idle)), introduced(assumption)).
% 11.71/8.04 tff(5395,assumption,(node140(c_s, s1, s2)), introduced(assumption)).
% 11.71/8.04 tff(5396,assumption,(m_state_v_A2M(c_s, s1, c_idle)), introduced(assumption)).
% 11.71/8.04 tff(5397,plain,
% 11.71/8.04 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.71/8.04 inference(rewrite,[status(thm)],[])).
% 11.71/8.04 tff(5398,plain,
% 11.71/8.04 (((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle)) <=> (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.71/8.05 inference(rewrite,[status(thm)],[])).
% 11.71/8.05 tff(5399,plain,
% 11.71/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2))))),
% 11.71/8.05 inference(monotonicity,[status(thm)],[5398])).
% 11.71/8.05 tff(5400,plain,
% 11.71/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)))),
% 11.71/8.05 inference(transitivity,[status(thm)],[5399, 5397])).
% 11.71/8.05 tff(5401,plain,
% 11.71/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s1, s2)) | (~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle))),
% 11.71/8.05 inference(quant_inst,[status(thm)],[])).
% 11.71/8.05 tff(5402,plain,
% 11.71/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s2, c_idle) | (~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2))),
% 11.71/8.05 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 11.71/8.05 tff(5403,plain,
% 11.71/8.05 ($false),
% 11.71/8.05 inference(unit_resolution,[status(thm)],[5402, 3278, 5396, 5395, 5394])).
% 11.71/8.05 tff(5404,plain,((~m_state_v_A2M(c_s, s1, c_idle)) | (~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 11.71/8.05 tff(5405,plain,
% 11.71/8.05 ((~m_state_v_A2M(c_s, s1, c_idle)) | m_state_v_A2M(c_s, s2, c_idle)),
% 11.71/8.05 inference(unit_resolution,[status(thm)],[5404, 5393])).
% 11.71/8.05 tff(5406,plain,
% 11.71/8.05 (m_state_v_A2M(c_s, s2, c_idle)),
% 11.71/8.05 inference(unit_resolution,[status(thm)],[5405, 3285])).
% 11.71/8.05 tff(5407,plain,
% 11.71/8.05 (^[I0: $i, X: $i] : refl(((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))))),
% 11.71/8.05 inference(bind,[status(th)],[])).
% 11.71/8.05 tff(5408,plain,
% 11.71/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.71/8.05 inference(quant_intro,[status(thm)],[5407])).
% 11.71/8.05 tff(5409,plain,
% 11.71/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.71/8.05 inference(rewrite,[status(thm)],[])).
% 11.71/8.05 tff(5410,plain,
% 11.71/8.05 (^[I0: $i, X: $i] : rewrite(((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off))) <=> ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on))))),
% 11.71/8.05 inference(bind,[status(th)],[])).
% 11.71/8.05 tff(5411,plain,
% 11.71/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.71/8.05 inference(quant_intro,[status(thm)],[5410])).
% 11.71/8.05 tff(5412,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_on)) | (~m_state_v_A2Mag(I0, X, c_off)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_12')).
% 11.71/8.05 tff(5413,plain,
% 11.71/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.71/8.05 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 11.71/8.05 tff(5414,plain,
% 11.71/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.71/8.05 inference(modus_ponens,[status(thm)],[5413, 5409])).
% 11.71/8.05 tff(5415,plain,(
% 11.71/8.05 ![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5414])).
% 11.79/8.05 tff(5416,plain,
% 11.79/8.05 (![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5415, 5408])).
% 11.79/8.05 tff(5417,plain,
% 11.79/8.05 (((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5418,plain,
% 11.79/8.05 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | ((~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5419,plain,
% 11.79/8.05 ((~![I0: $i, X: $i] : ((~m_state_v_A2Mag(I0, X, c_off)) | (~m_state_v_A2Mag(I0, X, c_on)))) | (~m_state_v_A2Mag(c_s, s0, c_off)) | (~m_state_v_A2Mag(c_s, s0, c_on))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 11.79/8.05 tff(5420,plain,
% 11.79/8.05 (~m_state_v_A2Mag(c_s, s0, c_on)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5419, 5416, 2745])).
% 11.79/8.05 tff(5421,plain,
% 11.79/8.05 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5422,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5421])).
% 11.79/8.05 tff(5423,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5424,plain,
% 11.79/8.05 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y))) <=> ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5425,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5424])).
% 11.79/8.05 tff(5426,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2Mag(J0, Y, V)) | m_state_v_A2Mag(J0, X, V)) | (~node148(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_126')).
% 11.79/8.05 tff(5427,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 11.79/8.05 tff(5428,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5427, 5423])).
% 11.79/8.05 tff(5429,plain,(
% 11.79/8.05 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5428])).
% 11.79/8.05 tff(5430,plain,
% 11.79/8.05 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5429, 5422])).
% 11.79/8.05 tff(5431,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5432,plain,
% 11.79/8.05 (((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on))) <=> (m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5433,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1))))),
% 11.79/8.05 inference(monotonicity,[status(thm)],[5432])).
% 11.79/8.05 tff(5434,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1)))),
% 11.79/8.05 inference(transitivity,[status(thm)],[5433, 5431])).
% 11.79/8.05 tff(5435,plain,
% 11.79/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s0, s1)) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5436,plain,
% 11.79/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s0, c_on) | (~m_state_v_A2Mag(c_s, s1, c_on)) | (~node148(c_s, s0, s1))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 11.79/8.05 tff(5437,plain,
% 11.79/8.05 (~m_state_v_A2Mag(c_s, s1, c_on)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5436, 5430, 5420, 3338])).
% 11.79/8.05 tff(5438,plain,
% 11.79/8.05 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5439,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5438])).
% 11.79/8.05 tff(5440,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5441,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_124')).
% 11.79/8.05 tff(5442,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 11.79/8.05 tff(5443,plain,(
% 11.79/8.05 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5442])).
% 11.79/8.05 tff(5444,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5443, 5439])).
% 11.79/8.05 tff(5445,plain,
% 11.79/8.05 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~node147(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~node147(c_s, s1)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5446,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~node147(c_s, s1)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5447,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~node147(c_s, s1))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 11.79/8.05 tff(5448,plain,
% 11.79/8.05 (~node147(c_s, s1)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5447, 5444, 5338])).
% 11.79/8.05 tff(5449,plain,
% 11.79/8.05 (^[X: $i, J0: $i] : refl((m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5450,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5449])).
% 11.79/8.05 tff(5451,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5452,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_121')).
% 11.79/8.05 tff(5453,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5452, 5451])).
% 11.79/8.05 tff(5454,plain,(
% 11.79/8.05 ![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5453])).
% 11.79/8.05 tff(5455,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5454, 5450])).
% 11.79/8.05 tff(5456,plain,
% 11.79/8.05 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~node146(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~node146(c_s, s1)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5457,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~node146(c_s, s1)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5458,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~node146(c_s, s1))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 11.79/8.05 tff(5459,plain,
% 11.79/8.05 (~node146(c_s, s1)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5458, 5455, 5301])).
% 11.79/8.05 tff(5460,plain,
% 11.79/8.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5461,plain,
% 11.79/8.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5462,plain,
% 11.79/8.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s1, s2)),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 11.79/8.05 tff(5463,plain,
% 11.79/8.05 (node149(c_s, s1, s2)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5462, 2729, 3295, 271])).
% 11.79/8.05 tff(5464,plain,
% 11.79/8.05 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5465,plain,
% 11.79/8.05 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5466,plain,
% 11.79/8.05 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2) | (~node149(c_s, s1, s2))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 11.79/8.05 tff(5467,plain,
% 11.79/8.05 (node146(c_s, s1) | node147(c_s, s1) | node148(c_s, s1, s2)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5466, 3331, 5463])).
% 11.79/8.05 tff(5468,plain,
% 11.79/8.05 (node148(c_s, s1, s2)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5467, 5459, 5448])).
% 11.79/8.05 tff(5469,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5470,plain,
% 11.79/8.05 (((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on))) <=> (m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5471,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2))))),
% 11.79/8.05 inference(monotonicity,[status(thm)],[5470])).
% 11.79/8.05 tff(5472,plain,
% 11.79/8.05 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2)))),
% 11.79/8.05 inference(transitivity,[status(thm)],[5471, 5469])).
% 11.79/8.05 tff(5473,plain,
% 11.79/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s1, s2)) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5474,plain,
% 11.79/8.05 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on)) | (~node148(c_s, s1, s2))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 11.79/8.05 tff(5475,plain,
% 11.79/8.05 (m_state_v_A2Mag(c_s, s1, c_on) | (~m_state_v_A2Mag(c_s, s2, c_on))),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5474, 5430, 5468])).
% 11.79/8.05 tff(5476,plain,
% 11.79/8.05 (~m_state_v_A2Mag(c_s, s2, c_on)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5475, 5437])).
% 11.79/8.05 tff(5477,plain,
% 11.79/8.05 (^[I0: $i, X: $i] : refl((m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on)) <=> (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on)))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5478,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on)) <=> ![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5477])).
% 11.79/8.05 tff(5479,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on)) <=> ![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5480,plain,
% 11.79/8.05 (^[I0: $i, X: $i] : rewrite((m_state_v_A2Mag(I0, X, c_on) | m_state_v_A2Mag(I0, X, c_off)) <=> (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on)))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5481,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_on) | m_state_v_A2Mag(I0, X, c_off)) <=> ![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5480])).
% 11.79/8.05 tff(5482,axiom,(![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_on) | m_state_v_A2Mag(I0, X, c_off))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_11')).
% 11.79/8.05 tff(5483,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5482, 5481])).
% 11.79/8.05 tff(5484,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5483, 5479])).
% 11.79/8.05 tff(5485,plain,(
% 11.79/8.05 ![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5484])).
% 11.79/8.05 tff(5486,plain,
% 11.79/8.05 (![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5485, 5478])).
% 11.79/8.05 tff(5487,plain,
% 11.79/8.05 (((~![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))) | (m_state_v_A2Mag(c_s, s2, c_off) | m_state_v_A2Mag(c_s, s2, c_on))) <=> ((~![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))) | m_state_v_A2Mag(c_s, s2, c_off) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5488,plain,
% 11.79/8.05 ((~![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))) | (m_state_v_A2Mag(c_s, s2, c_off) | m_state_v_A2Mag(c_s, s2, c_on))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5489,plain,
% 11.79/8.05 ((~![I0: $i, X: $i] : (m_state_v_A2Mag(I0, X, c_off) | m_state_v_A2Mag(I0, X, c_on))) | m_state_v_A2Mag(c_s, s2, c_off) | m_state_v_A2Mag(c_s, s2, c_on)),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 11.79/8.05 tff(5490,plain,
% 11.79/8.05 (m_state_v_A2Mag(c_s, s2, c_off) | m_state_v_A2Mag(c_s, s2, c_on)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5489, 5486])).
% 11.79/8.05 tff(5491,plain,
% 11.79/8.05 (m_state_v_A2Mag(c_s, s2, c_off)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5490, 5476])).
% 11.79/8.05 tff(5492,plain,
% 11.79/8.05 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5493,plain,
% 11.79/8.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5494,plain,
% 11.79/8.05 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s1, s2)),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5493, 5492])).
% 11.79/8.05 tff(5495,plain,
% 11.79/8.05 (node145(c_s, s1, s2)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5494, 2729, 3512, 271])).
% 11.79/8.05 tff(5496,plain,
% 11.79/8.05 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5497,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5496])).
% 11.79/8.05 tff(5498,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5499,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_112')).
% 11.79/8.05 tff(5500,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 11.79/8.05 tff(5501,plain,(
% 11.79/8.05 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5500])).
% 11.79/8.05 tff(5502,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5501, 5497])).
% 11.79/8.05 tff(5503,plain,
% 11.79/8.05 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5504,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1)))),
% 11.79/8.05 inference(quant_inst,[status(thm)],[])).
% 11.79/8.05 tff(5505,plain,
% 11.79/8.05 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_a1ip) | (~node143(J0, X)))) | m_state_v_a1ext(c_s, s1, c_a1ip) | (~node143(c_s, s1))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5504, 5503])).
% 11.79/8.05 tff(5506,plain,
% 11.79/8.05 (~node143(c_s, s1)),
% 11.79/8.05 inference(unit_resolution,[status(thm)],[5505, 5502, 3075])).
% 11.79/8.05 tff(5507,plain,
% 11.79/8.05 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))))),
% 11.79/8.05 inference(bind,[status(th)],[])).
% 11.79/8.05 tff(5508,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.79/8.05 inference(quant_intro,[status(thm)],[5507])).
% 11.79/8.05 tff(5509,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.79/8.05 inference(rewrite,[status(thm)],[])).
% 11.79/8.05 tff(5510,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_109')).
% 11.79/8.05 tff(5511,plain,
% 11.79/8.05 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.79/8.05 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 11.79/8.05 tff(5512,plain,(
% 11.79/8.05 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.79/8.05 inference(skolemize,[status(sab)],[5511])).
% 11.79/8.05 tff(5513,plain,
% 11.79/8.06 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5512, 5508])).
% 11.79/8.06 tff(5514,plain,
% 11.79/8.06 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5515,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5516,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~node142(c_s, s1))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 11.79/8.06 tff(5517,plain,
% 11.79/8.06 (~node142(c_s, s1)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5516, 5513, 3107])).
% 11.79/8.06 tff(5518,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5519,plain,
% 11.79/8.06 ((node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2))) <=> (node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5520,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2))))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5519])).
% 11.79/8.06 tff(5521,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5520, 5518])).
% 11.79/8.06 tff(5522,plain,
% 11.79/8.06 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s1) | node142(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5523,plain,
% 11.79/8.06 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s1) | node143(c_s, s1) | node144(c_s, s1, s2) | (~node145(c_s, s1, s2))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 11.79/8.06 tff(5524,plain,
% 11.79/8.06 (node144(c_s, s1, s2)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5523, 3548, 5517, 5506, 5495])).
% 11.79/8.06 tff(5525,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5526,plain,
% 11.79/8.06 (((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off)) <=> (m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5527,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2))))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5526])).
% 11.79/8.06 tff(5528,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2)))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5527, 5525])).
% 11.79/8.06 tff(5529,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s1, s2)) | (~m_state_v_A1Mag(c_s, s1, c_off)) | m_state_v_A1Mag(c_s, s2, c_off))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5530,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s2, c_off) | (~m_state_v_A1Mag(c_s, s1, c_off)) | (~node144(c_s, s1, s2))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 11.79/8.06 tff(5531,plain,
% 11.79/8.06 (m_state_v_A1Mag(c_s, s2, c_off)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5530, 3562, 3569, 5524])).
% 11.79/8.06 tff(5532,plain,
% 11.79/8.06 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))))),
% 11.79/8.06 inference(bind,[status(th)],[])).
% 11.79/8.06 tff(5533,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(quant_intro,[status(thm)],[5532])).
% 11.79/8.06 tff(5534,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5535,plain,
% 11.79/8.06 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y))) <=> ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V))))),
% 11.79/8.06 inference(bind,[status(th)],[])).
% 11.79/8.06 tff(5536,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(quant_intro,[status(thm)],[5535])).
% 11.79/8.06 tff(5537,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A2M(J0, Y, V)) | m_state_v_A2M(J0, X, V)) | (~node140(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_96')).
% 11.79/8.06 tff(5538,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 11.79/8.06 tff(5539,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5538, 5534])).
% 11.79/8.06 tff(5540,plain,(
% 11.79/8.06 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(skolemize,[status(sab)],[5539])).
% 11.79/8.06 tff(5541,plain,
% 11.79/8.06 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5540, 5533])).
% 11.79/8.06 tff(5542,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5543,plain,
% 11.79/8.06 (((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract))) <=> (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5544,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1))))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5543])).
% 11.79/8.06 tff(5545,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1)))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5544, 5542])).
% 11.79/8.06 tff(5546,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5547,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_retract) | (~m_state_v_A2M(c_s, s1, c_retract)) | (~node140(c_s, s0, s1))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 11.79/8.06 tff(5548,plain,
% 11.79/8.06 (~m_state_v_A2M(c_s, s1, c_retract)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5547, 5541, 3619, 3268])).
% 11.79/8.06 tff(5549,plain,
% 11.79/8.06 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5550,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5551,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s1)) | m_state_v_angle(c_s, s1, c_arm2topress)),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 11.79/8.06 tff(5552,plain,
% 11.79/8.06 (~node33(c_s, s1)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5551, 3593, 5187])).
% 11.79/8.06 tff(5553,plain,
% 11.79/8.06 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5554,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5555,plain,
% 11.79/8.06 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node34(c_s, s1))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 11.79/8.06 tff(5556,plain,
% 11.79/8.06 (~node34(c_s, s1)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5555, 3604, 5198])).
% 11.79/8.06 tff(5557,plain,
% 11.79/8.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5558,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5559,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s1, s2)),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 11.79/8.06 tff(5560,plain,
% 11.79/8.06 (node36(c_s, s1, s2)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5559, 62, 3579, 271])).
% 11.79/8.06 tff(5561,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5562,plain,
% 11.79/8.06 ((m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2))) <=> (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5563,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1)))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5562])).
% 11.79/8.06 tff(5564,plain,
% 11.79/8.06 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5563, 5561])).
% 11.79/8.06 tff(5565,plain,
% 11.79/8.06 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s1, c_retract) | node34(c_s, s1) | node33(c_s, s1) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5566,plain,
% 11.79/8.06 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | (~node36(c_s, s1, s2)) | node34(c_s, s1) | node33(c_s, s1)),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5565, 5564])).
% 11.79/8.06 tff(5567,plain,
% 11.79/8.06 (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2) | node34(c_s, s1) | node33(c_s, s1)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5566, 3629, 5560])).
% 11.79/8.06 tff(5568,plain,
% 11.79/8.06 (m_state_v_A2M(c_s, s1, c_retract) | node35(c_s, s1, s2)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5567, 5556, 5552])).
% 11.79/8.06 tff(5569,plain,
% 11.79/8.06 (node35(c_s, s1, s2)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5568, 5548])).
% 11.79/8.06 tff(5570,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5571,plain,
% 11.79/8.06 (((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted)) <=> (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5572,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2))))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5571])).
% 11.79/8.06 tff(5573,plain,
% 11.79/8.06 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2)))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5572, 5570])).
% 11.79/8.06 tff(5574,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s1, s2)) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | m_state_v_a2ext(c_s, s2, c_retracted))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5575,plain,
% 11.79/8.06 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s2, c_retracted) | (~m_state_v_a2ext(c_s, s1, c_retracted)) | (~node35(c_s, s1, s2))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 11.79/8.06 tff(5576,plain,
% 11.79/8.06 (m_state_v_a2ext(c_s, s2, c_retracted)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5575, 3643, 3650, 5569])).
% 11.79/8.06 tff(5577,plain,
% 11.79/8.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5578,plain,
% 11.79/8.06 (((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5579,plain,
% 11.79/8.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3)))),
% 11.79/8.06 inference(monotonicity,[status(thm)],[5578])).
% 11.79/8.06 tff(5580,plain,
% 11.79/8.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3))),
% 11.79/8.06 inference(transitivity,[status(thm)],[5579, 5577])).
% 11.79/8.06 tff(5581,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s2, s3)) | node131(c_s, s2, s3) | (~m_Robot_v_s(c_RB, c_s)))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5582,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s2, s3)),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 11.79/8.06 tff(5583,plain,
% 11.79/8.06 (node131(c_s, s2, s3)),
% 11.79/8.06 inference(unit_resolution,[status(thm)],[5582, 2729, 2726, 480])).
% 11.79/8.06 tff(5584,plain,
% 11.79/8.06 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)))),
% 11.79/8.06 inference(bind,[status(th)],[])).
% 11.79/8.06 tff(5585,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(quant_intro,[status(thm)],[5584])).
% 11.79/8.06 tff(5586,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5587,plain,
% 11.79/8.06 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))))),
% 11.79/8.06 inference(bind,[status(th)],[])).
% 11.79/8.06 tff(5588,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(quant_intro,[status(thm)],[5587])).
% 11.79/8.06 tff(5589,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node22(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_17')).
% 11.79/8.06 tff(5590,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 11.79/8.06 tff(5591,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5590, 5586])).
% 11.79/8.06 tff(5592,plain,(
% 11.79/8.06 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(skolemize,[status(sab)],[5591])).
% 11.79/8.06 tff(5593,plain,
% 11.79/8.06 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5592, 5585])).
% 11.79/8.06 tff(5594,plain,
% 11.79/8.06 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))),
% 11.79/8.06 inference(rewrite,[status(thm)],[])).
% 11.79/8.06 tff(5595,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2))),
% 11.79/8.06 inference(quant_inst,[status(thm)],[])).
% 11.79/8.06 tff(5596,plain,
% 11.79/8.06 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s1, s2)),
% 11.79/8.06 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 11.79/8.07 tff(5597,plain,
% 11.79/8.07 (node22(c_s, s1, s2)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5596, 62, 5593, 271])).
% 11.79/8.07 tff(5598,plain,
% 11.79/8.07 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))))),
% 11.79/8.07 inference(bind,[status(th)],[])).
% 11.79/8.07 tff(5599,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(quant_intro,[status(thm)],[5598])).
% 11.79/8.07 tff(5600,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5601,plain,
% 11.79/8.07 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y))) <=> (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up))))),
% 11.79/8.07 inference(bind,[status(th)],[])).
% 11.79/8.07 tff(5602,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(quant_intro,[status(thm)],[5601])).
% 11.79/8.07 tff(5603,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, X, c_up)) | m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_14')).
% 11.79/8.07 tff(5604,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 11.79/8.07 tff(5605,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5604, 5600])).
% 11.79/8.07 tff(5606,plain,(
% 11.79/8.07 ![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(skolemize,[status(sab)],[5605])).
% 11.79/8.07 tff(5607,plain,
% 11.79/8.07 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5606, 5599])).
% 11.79/8.07 tff(5608,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5609,plain,
% 11.79/8.07 ((m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up))) <=> (m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5610,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2))))),
% 11.79/8.07 inference(monotonicity,[status(thm)],[5609])).
% 11.79/8.07 tff(5611,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2)))),
% 11.79/8.07 inference(transitivity,[status(thm)],[5610, 5608])).
% 11.79/8.07 tff(5612,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s2) | (~node22(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5613,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s2) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node22(c_s, s1, s2))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 11.79/8.07 tff(5614,plain,
% 11.79/8.07 (m_state_v_topPos(c_s, s2)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5613, 5607, 1562, 5597])).
% 11.79/8.07 tff(5615,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5616,plain,
% 11.79/8.07 (((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle))) <=> ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5617,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3))))),
% 11.79/8.07 inference(monotonicity,[status(thm)],[5616])).
% 11.79/8.07 tff(5618,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)))),
% 11.79/8.07 inference(transitivity,[status(thm)],[5617, 5615])).
% 11.79/8.07 tff(5619,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5620,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | (~m_state_v_RRM(J0, X, c_idle)) | (~node131(J0, X, Y)) | m_state_v_A1M(J0, Y, c_extend) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A1Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)))) | (~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_maxRot(c_s, s2)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node131(c_s, s2, s3))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 11.79/8.07 tff(5621,plain,
% 11.79/8.07 ((~m_state_v_tl(c_s, s2)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5620, 2791, 5614, 4256, 5583])).
% 11.79/8.07 tff(5622,plain,
% 11.79/8.07 ((~m_state_v_tl(c_s, s2)) | m_state_v_A1M(c_s, s3, c_extend) | (~m_state_v_A1M(c_s, s2, c_idle)) | (~m_state_v_a1ext(c_s, s2, c_retracted)) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5621, 5576, 5531, 5491, 5406, 5273])).
% 11.79/8.07 tff(5623,plain,
% 11.79/8.07 (m_state_v_A1M(c_s, s3, c_extend)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5622, 5231, 5137, 5135, 5130])).
% 11.79/8.07 tff(5624,plain,
% 11.79/8.07 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5625,plain,
% 11.79/8.07 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5626,plain,
% 11.79/8.07 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_retract))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 11.79/8.07 tff(5627,plain,
% 11.79/8.07 (~m_state_v_A1M(c_s, s3, c_retract)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5626, 2639, 5623])).
% 11.79/8.07 tff(5628,plain,
% 11.79/8.07 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5629,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5630,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s3)) | m_state_v_A1M(c_s, s3, c_retract)),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 11.79/8.07 tff(5631,plain,
% 11.79/8.07 (~node1(c_s, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5630, 1397, 5627])).
% 11.79/8.07 tff(5632,plain,
% 11.79/8.07 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | (m_state_v_deliv(c_s, s2) | (~node178(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | m_state_v_deliv(c_s, s2) | (~node178(c_s, s2)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5633,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | (m_state_v_deliv(c_s, s2) | (~node178(c_s, s2)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5634,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node178(J0, X)))) | m_state_v_deliv(c_s, s2) | (~node178(c_s, s2))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5633, 5632])).
% 11.79/8.07 tff(5635,plain,
% 11.79/8.07 (~node178(c_s, s2)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5634, 2284, 2310])).
% 11.79/8.07 tff(5636,plain,
% 11.79/8.07 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node176(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node176(J0, X))))),
% 11.79/8.07 inference(bind,[status(th)],[])).
% 11.79/8.07 tff(5637,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))),
% 11.79/8.07 inference(quant_intro,[status(thm)],[5636])).
% 11.79/8.07 tff(5638,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5639,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_4')).
% 11.79/8.07 tff(5640,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5639, 5638])).
% 11.79/8.07 tff(5641,plain,(
% 11.79/8.07 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))),
% 11.79/8.07 inference(skolemize,[status(sab)],[5640])).
% 11.79/8.07 tff(5642,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5641, 5637])).
% 11.79/8.07 tff(5643,plain,
% 11.79/8.07 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node176(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node176(c_s, s2)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5644,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node176(c_s, s2)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5645,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node176(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node176(c_s, s2))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 11.79/8.07 tff(5646,plain,
% 11.79/8.07 (~node176(c_s, s2)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5645, 5642, 1593])).
% 11.79/8.07 tff(5647,plain,
% 11.79/8.07 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node177(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node177(J0, X))))),
% 11.79/8.07 inference(bind,[status(th)],[])).
% 11.79/8.07 tff(5648,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))),
% 11.79/8.07 inference(quant_intro,[status(thm)],[5647])).
% 11.79/8.07 tff(5649,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5650,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_FeedBelt_9')).
% 11.79/8.07 tff(5651,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 11.79/8.07 tff(5652,plain,(
% 11.79/8.07 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))),
% 11.79/8.07 inference(skolemize,[status(sab)],[5651])).
% 11.79/8.07 tff(5653,plain,
% 11.79/8.07 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5652, 5648])).
% 11.79/8.07 tff(5654,plain,
% 11.79/8.07 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node177(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node177(c_s, s2)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5655,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node177(c_s, s2)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5656,plain,
% 11.79/8.07 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node177(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node177(c_s, s2))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 11.79/8.07 tff(5657,plain,
% 11.79/8.07 (~node177(c_s, s2)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5656, 5653, 1593])).
% 11.79/8.07 tff(5658,plain,
% 11.79/8.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5659,plain,
% 11.79/8.07 (((~trans(s2, s3)) | node180(c_s, s2, s3) | (~m_FeedBelt_v_s(c_FB, c_s))) <=> ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5660,plain,
% 11.79/8.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s2, s3)) | node180(c_s, s2, s3) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3)))),
% 11.79/8.07 inference(monotonicity,[status(thm)],[5659])).
% 11.79/8.07 tff(5661,plain,
% 11.79/8.07 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s2, s3)) | node180(c_s, s2, s3) | (~m_FeedBelt_v_s(c_FB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3))),
% 11.79/8.07 inference(transitivity,[status(thm)],[5660, 5658])).
% 11.79/8.07 tff(5662,plain,
% 11.79/8.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | ((~trans(s2, s3)) | node180(c_s, s2, s3) | (~m_FeedBelt_v_s(c_FB, c_s)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5663,plain,
% 11.79/8.07 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node180(J0, X, Y) | (~m_FeedBelt_v_s(I0, J0)))) | (~trans(s2, s3)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node180(c_s, s2, s3)),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 11.79/8.07 tff(5664,plain,
% 11.79/8.07 (node180(c_s, s2, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5663, 1247, 2184, 480])).
% 11.79/8.07 tff(5665,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5666,plain,
% 11.79/8.07 ((node176(c_s, s2) | node177(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3))) <=> (node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5667,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s2) | node177(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3))))),
% 11.79/8.07 inference(monotonicity,[status(thm)],[5666])).
% 11.79/8.07 tff(5668,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s2) | node177(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))),
% 11.79/8.07 inference(transitivity,[status(thm)],[5667, 5665])).
% 11.79/8.07 tff(5669,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | (node176(c_s, s2) | node177(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5670,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (node176(J0, X) | node177(J0, X) | node178(J0, X) | node179(J0, X, Y) | (~node180(J0, X, Y)))) | node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3) | (~node180(c_s, s2, s3))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 11.79/8.07 tff(5671,plain,
% 11.79/8.07 (node177(c_s, s2) | node176(c_s, s2) | node178(c_s, s2) | node179(c_s, s2, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5670, 2252, 5664])).
% 11.79/8.07 tff(5672,plain,
% 11.79/8.07 (node178(c_s, s2) | node179(c_s, s2, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5671, 5657, 5646])).
% 11.79/8.07 tff(5673,plain,
% 11.79/8.07 (node179(c_s, s2, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5672, 5635])).
% 11.79/8.07 tff(5674,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5675,plain,
% 11.79/8.07 ((m_state_v_deliv(c_s, s2) | (~node179(c_s, s2, s3)) | (~m_state_v_deliv(c_s, s3))) <=> (m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3)))),
% 11.79/8.07 inference(rewrite,[status(thm)],[])).
% 11.79/8.07 tff(5676,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s2) | (~node179(c_s, s2, s3)) | (~m_state_v_deliv(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3))))),
% 11.79/8.07 inference(monotonicity,[status(thm)],[5675])).
% 11.79/8.07 tff(5677,plain,
% 11.79/8.07 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s2) | (~node179(c_s, s2, s3)) | (~m_state_v_deliv(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3)))),
% 11.79/8.07 inference(transitivity,[status(thm)],[5676, 5674])).
% 11.79/8.07 tff(5678,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | (m_state_v_deliv(c_s, s2) | (~node179(c_s, s2, s3)) | (~m_state_v_deliv(c_s, s3)))),
% 11.79/8.07 inference(quant_inst,[status(thm)],[])).
% 11.79/8.07 tff(5679,plain,
% 11.79/8.07 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node179(J0, X, Y)) | (~m_state_v_deliv(J0, Y)))) | m_state_v_deliv(c_s, s2) | (~m_state_v_deliv(c_s, s3)) | (~node179(c_s, s2, s3))),
% 11.79/8.07 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 11.79/8.07 tff(5680,plain,
% 11.79/8.07 (~m_state_v_deliv(c_s, s3)),
% 11.79/8.07 inference(unit_resolution,[status(thm)],[5679, 2269, 2310, 5673])).
% 11.79/8.07 tff(5681,plain,
% 11.79/8.07 (((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s3)) | m_state_v_deliv(c_s, s3))) <=> ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s3)) | m_state_v_deliv(c_s, s3))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5682,plain,
% 11.79/8.08 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | ((~node2(c_s, s3)) | m_state_v_deliv(c_s, s3))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5683,plain,
% 11.79/8.08 ((~![X: $i, J0: $i] : ((~node2(J0, X)) | m_state_v_deliv(J0, X))) | (~node2(c_s, s3)) | m_state_v_deliv(c_s, s3)),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 11.79/8.08 tff(5684,plain,
% 11.79/8.08 (~node2(c_s, s3)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5683, 2320, 5680])).
% 11.79/8.08 tff(5685,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5686,plain,
% 11.79/8.08 ((node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4))) <=> ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5687,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4)))),
% 11.79/8.08 inference(monotonicity,[status(thm)],[5686])).
% 11.79/8.08 tff(5688,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4))),
% 11.79/8.08 inference(transitivity,[status(thm)],[5687, 5685])).
% 11.79/8.08 tff(5689,plain,
% 11.79/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s3, s4) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s3, s4)))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5690,plain,
% 11.79/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s3, s4)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s3, s4)),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 11.79/8.08 tff(5691,plain,
% 11.79/8.08 (node4(c_s, s3, s4)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5690, 1360, 1357, 911])).
% 11.79/8.08 tff(5692,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5693,plain,
% 11.79/8.08 ((node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4))) <=> (node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5694,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3)))),
% 11.79/8.08 inference(monotonicity,[status(thm)],[5693])).
% 11.79/8.08 tff(5695,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3))),
% 11.79/8.08 inference(transitivity,[status(thm)],[5694, 5692])).
% 11.79/8.08 tff(5696,plain,
% 11.79/8.08 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s3) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5697,plain,
% 11.79/8.08 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s3) | node3(c_s, s3, s4) | (~node4(c_s, s3, s4)) | node1(c_s, s3)),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 11.79/8.08 tff(5698,plain,
% 11.79/8.08 (node2(c_s, s3) | node3(c_s, s3, s4) | node1(c_s, s3)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5697, 1431, 5691])).
% 11.79/8.08 tff(5699,plain,
% 11.79/8.08 (node3(c_s, s3, s4) | node1(c_s, s3)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5698, 5684])).
% 11.79/8.08 tff(5700,plain,
% 11.79/8.08 (node3(c_s, s3, s4)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5699, 5631])).
% 11.79/8.08 tff(5701,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4)))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5702,plain,
% 11.79/8.08 (((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4)) <=> ((~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4)))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5703,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4))))),
% 11.79/8.08 inference(monotonicity,[status(thm)],[5702])).
% 11.79/8.08 tff(5704,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4)))),
% 11.79/8.08 inference(transitivity,[status(thm)],[5703, 5701])).
% 11.79/8.08 tff(5705,plain,
% 11.79/8.08 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s3, s4)) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5706,plain,
% 11.79/8.08 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s3)) | m_state_v_tl(c_s, s4) | (~node3(c_s, s3, s4))),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 11.79/8.08 tff(5707,plain,
% 11.79/8.08 (m_state_v_tl(c_s, s4)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5706, 1448, 3679, 5700])).
% 11.79/8.08 tff(5708,plain,
% 11.79/8.08 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5709,plain,
% 11.79/8.08 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4)))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5710,plain,
% 11.79/8.08 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node166(c_s, s4))),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 11.79/8.08 tff(5711,plain,
% 11.79/8.08 (~node166(c_s, s4)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5710, 4135, 5707])).
% 11.79/8.08 tff(5712,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5713,plain,
% 11.79/8.08 (((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5714,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5)))),
% 11.79/8.08 inference(monotonicity,[status(thm)],[5713])).
% 11.79/8.08 tff(5715,plain,
% 11.79/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5))),
% 11.79/8.08 inference(transitivity,[status(thm)],[5714, 5712])).
% 11.79/8.08 tff(5716,plain,
% 11.79/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s4, s5)) | node169(c_s, s4, s5) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 11.79/8.08 inference(quant_inst,[status(thm)],[])).
% 11.79/8.08 tff(5717,plain,
% 11.79/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s4, s5)),
% 11.79/8.08 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 11.79/8.08 tff(5718,plain,
% 11.79/8.08 (node169(c_s, s4, s5)),
% 11.79/8.08 inference(unit_resolution,[status(thm)],[5717, 1505, 4047, 1043])).
% 11.79/8.08 tff(5719,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5720,plain,
% 11.79/8.08 ((node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))) <=> (node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.79/8.08 inference(rewrite,[status(thm)],[])).
% 11.79/8.08 tff(5721,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))))),
% 11.79/8.08 inference(monotonicity,[status(thm)],[5720])).
% 11.79/8.08 tff(5722,plain,
% 11.79/8.08 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.79/8.08 inference(transitivity,[status(thm)],[5721, 5719])).
% 11.83/8.08 tff(5723,plain,
% 11.83/8.08 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s4) | node165(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5)))),
% 11.83/8.08 inference(quant_inst,[status(thm)],[])).
% 11.83/8.08 tff(5724,plain,
% 11.83/8.08 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5) | (~node169(c_s, s4, s5))),
% 11.83/8.08 inference(modus_ponens,[status(thm)],[5723, 5722])).
% 11.83/8.08 tff(5725,plain,
% 11.83/8.08 (node164(c_s, s4) | node166(c_s, s4) | node167(c_s, s4) | node165(c_s, s4) | node168(c_s, s4, s5)),
% 11.83/8.08 inference(unit_resolution,[status(thm)],[5724, 4149, 5718])).
% 11.83/8.08 tff(5726,plain,
% 11.83/8.08 (node168(c_s, s4, s5)),
% 11.83/8.08 inference(unit_resolution,[status(thm)],[5725, 5711, 5103, 5099, 5095])).
% 11.83/8.08 tff(5727,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5728,plain,
% 11.83/8.08 (((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise))) <=> ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5729,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5))))),
% 11.83/8.08 inference(monotonicity,[status(thm)],[5728])).
% 11.83/8.08 tff(5730,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(transitivity,[status(thm)],[5729, 5727])).
% 11.83/8.08 tff(5731,plain,
% 11.83/8.08 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)))),
% 11.83/8.08 inference(quant_inst,[status(thm)],[])).
% 11.83/8.08 tff(5732,plain,
% 11.83/8.08 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_counterclockwise)) | m_state_v_TRM(c_s, s4, c_counterclockwise) | (~node168(c_s, s4, s5))),
% 11.83/8.08 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 11.83/8.08 tff(5733,plain,
% 11.83/8.08 (~m_state_v_TRM(c_s, s5, c_counterclockwise)),
% 11.83/8.08 inference(unit_resolution,[status(thm)],[5732, 4184, 4697, 5726])).
% 11.83/8.08 tff(5734,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5735,plain,
% 11.83/8.08 (((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5736,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5))))),
% 11.83/8.08 inference(monotonicity,[status(thm)],[5735])).
% 11.83/8.08 tff(5737,plain,
% 11.83/8.08 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5)))),
% 11.83/8.08 inference(transitivity,[status(thm)],[5736, 5734])).
% 11.83/8.08 tff(5738,plain,
% 11.83/8.08 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s4, s5)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~m_state_v_TRM(c_s, s5, c_clockwise)))),
% 11.83/8.08 inference(quant_inst,[status(thm)],[])).
% 11.83/8.08 tff(5739,plain,
% 11.83/8.08 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s5, c_clockwise)) | m_state_v_TRM(c_s, s4, c_clockwise) | (~node168(c_s, s4, s5))),
% 11.83/8.08 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 11.83/8.08 tff(5740,plain,
% 11.83/8.08 (~m_state_v_TRM(c_s, s5, c_clockwise)),
% 11.83/8.08 inference(unit_resolution,[status(thm)],[5739, 4184, 4690, 5726])).
% 11.83/8.08 tff(5741,plain,
% 11.83/8.08 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5742,plain,
% 11.83/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6))),
% 11.83/8.08 inference(quant_inst,[status(thm)],[])).
% 11.83/8.08 tff(5743,plain,
% 11.83/8.08 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s5, s6)),
% 11.83/8.08 inference(modus_ponens,[status(thm)],[5742, 5741])).
% 11.83/8.08 tff(5744,plain,
% 11.83/8.08 (node26(c_s, s5, s6)),
% 11.83/8.08 inference(unit_resolution,[status(thm)],[5743, 62, 4201, 14])).
% 11.83/8.08 tff(5745,plain,
% 11.83/8.08 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.83/8.08 inference(rewrite,[status(thm)],[])).
% 11.83/8.08 tff(5746,plain,
% 11.83/8.08 ((node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise)) <=> (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5747,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6))))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5746])).
% 11.83/8.09 tff(5748,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6)))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5747, 5745])).
% 11.83/8.09 tff(5749,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s5, s6) | (~node26(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5750,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6) | (~node26(c_s, s5, s6))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 11.83/8.09 tff(5751,plain,
% 11.83/8.09 (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node25(c_s, s5, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5750, 4304, 5744])).
% 11.83/8.09 tff(5752,plain,
% 11.83/8.09 (node25(c_s, s5, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5751, 5740, 5733])).
% 11.83/8.09 tff(5753,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5754,plain,
% 11.83/8.09 ((m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6))) <=> (m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5755,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6))))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5754])).
% 11.83/8.09 tff(5756,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6)))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5755, 5753])).
% 11.83/8.09 tff(5757,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s5) | (~node25(c_s, s5, s6)) | (~m_state_v_minRot(c_s, s6)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5758,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s5) | (~m_state_v_minRot(c_s, s6)) | (~node25(c_s, s5, s6))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 11.83/8.09 tff(5759,plain,
% 11.83/8.09 (~m_state_v_minRot(c_s, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5758, 4322, 4716, 5752])).
% 11.83/8.09 tff(5760,plain,
% 11.83/8.09 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node183(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node183(c_s, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5761,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node183(c_s, s6)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5762,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node183(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node183(c_s, s6))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 11.83/8.09 tff(5763,plain,
% 11.83/8.09 (~node183(c_s, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5762, 4336, 5759])).
% 11.83/8.09 tff(5764,plain,
% 11.83/8.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5765,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | ((~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5766,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_FeedBelt_v_s(I0, J0)) | node185(J0, X, Y))) | (~trans(s6, s7)) | (~m_FeedBelt_v_s(c_FB, c_s)) | node185(c_s, s6, s7)),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 11.83/8.09 tff(5767,plain,
% 11.83/8.09 (node185(c_s, s6, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5766, 1247, 1244, 2095])).
% 11.83/8.09 tff(5768,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5769,plain,
% 11.83/8.09 ((node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))) <=> (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5770,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5769])).
% 11.83/8.09 tff(5771,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5770, 5768])).
% 11.83/8.09 tff(5772,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | (node182(c_s, s6) | node183(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5773,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node182(J0, X) | node183(J0, X) | node184(J0, X, Y) | (~node185(J0, X, Y)))) | node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7) | (~node185(c_s, s6, s7))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 11.83/8.09 tff(5774,plain,
% 11.83/8.09 (node183(c_s, s6) | node182(c_s, s6) | node184(c_s, s6, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5773, 1315, 5767])).
% 11.83/8.09 tff(5775,plain,
% 11.83/8.09 (node184(c_s, s6, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5774, 5763, 5091])).
% 11.83/8.09 tff(5776,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5777,plain,
% 11.83/8.09 (((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on))) <=> (m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5778,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | (m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7))))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5777])).
% 11.83/8.09 tff(5779,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7)))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5778, 5776])).
% 11.83/8.09 tff(5780,plain,
% 11.83/8.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | ((~node184(c_s, s6, s7)) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5781,plain,
% 11.83/8.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node184(J0, X, Y)) | m_state_v_FBM(J0, X, V) | (~m_state_v_FBM(J0, Y, V)))) | m_state_v_FBM(c_s, s6, c_on) | (~m_state_v_FBM(c_s, s7, c_on)) | (~node184(c_s, s6, s7))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 11.83/8.09 tff(5782,plain,
% 11.83/8.09 (~m_state_v_FBM(c_s, s7, c_on)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5781, 1332, 4739, 5775])).
% 11.83/8.09 tff(5783,plain,
% 11.83/8.09 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5784,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | (m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5785,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node13(J0, X)))) | m_state_v_FBM(c_s, s7, c_on) | (~node13(c_s, s7))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 11.83/8.09 tff(5786,plain,
% 11.83/8.09 (~node13(c_s, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5785, 1631, 5782])).
% 11.83/8.09 tff(5787,plain,
% 11.83/8.09 (((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s6, c_off) | (~node88(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s6, c_off) | (~node88(c_s, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5788,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | (m_state_v_CMag(c_s, s6, c_off) | (~node88(c_s, s6)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5789,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_CMag(J0, X, c_off) | (~node88(J0, X)))) | m_state_v_CMag(c_s, s6, c_off) | (~node88(c_s, s6))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 11.83/8.09 tff(5790,plain,
% 11.83/8.09 (~node88(c_s, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5789, 1905, 4773])).
% 11.83/8.09 tff(5791,plain,
% 11.83/8.09 (((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5792,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | (m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5793,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : (m_state_v_gvp(J0, X, c_ovf) | (~node89(J0, X)))) | m_state_v_gvp(c_s, s6, c_ovf) | (~node89(c_s, s6))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 11.83/8.09 tff(5794,plain,
% 11.83/8.09 (~node89(c_s, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5793, 1830, 4515])).
% 11.83/8.09 tff(5795,plain,
% 11.83/8.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5796,plain,
% 11.83/8.09 (((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s))) <=> ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5797,plain,
% 11.83/8.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7)))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5796])).
% 11.83/8.09 tff(5798,plain,
% 11.83/8.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5797, 5795])).
% 11.83/8.09 tff(5799,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | ((~trans(s6, s7)) | node91(c_s, s6, s7) | (~m_Crane_v_s(c_CR, c_s)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5800,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node91(J0, X, Y) | (~m_Crane_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Crane_v_s(c_CR, c_s)) | node91(c_s, s6, s7)),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 11.83/8.09 tff(5801,plain,
% 11.83/8.09 (node91(c_s, s6, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5800, 27, 1855, 2095])).
% 11.83/8.09 tff(5802,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5803,plain,
% 11.83/8.09 ((node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7))) <=> (node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5804,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6)))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5803])).
% 11.83/8.09 tff(5805,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5804, 5802])).
% 11.83/8.09 tff(5806,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | (node88(c_s, s6) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5807,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node88(J0, X) | node89(J0, X) | node90(J0, X, Y) | (~node91(J0, X, Y)))) | node89(c_s, s6) | node90(c_s, s6, s7) | (~node91(c_s, s6, s7)) | node88(c_s, s6)),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 11.83/8.09 tff(5808,plain,
% 11.83/8.09 (node89(c_s, s6) | node90(c_s, s6, s7) | node88(c_s, s6)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5807, 1872, 5801])).
% 11.83/8.09 tff(5809,plain,
% 11.83/8.09 (node90(c_s, s6, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5808, 5794, 5790])).
% 11.83/8.09 tff(5810,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5811,plain,
% 11.83/8.09 (((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off))) <=> (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5812,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | (m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7))))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5811])).
% 11.83/8.09 tff(5813,plain,
% 11.83/8.09 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7)))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5812, 5810])).
% 11.83/8.09 tff(5814,plain,
% 11.83/8.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | ((~node90(c_s, s6, s7)) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5815,plain,
% 11.83/8.09 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node90(J0, X, Y)) | m_state_v_CMag(J0, X, V) | (~m_state_v_CMag(J0, Y, V)))) | m_state_v_CMag(c_s, s6, c_off) | (~m_state_v_CMag(c_s, s7, c_off)) | (~node90(c_s, s6, s7))),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 11.83/8.09 tff(5816,plain,
% 11.83/8.09 (~m_state_v_CMag(c_s, s7, c_off)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5815, 1926, 4773, 5809])).
% 11.83/8.09 tff(5817,plain,
% 11.83/8.09 (((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s7)) | m_state_v_CMag(c_s, s7, c_off))) <=> ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s7)) | m_state_v_CMag(c_s, s7, c_off))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5818,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | ((~node14(c_s, s7)) | m_state_v_CMag(c_s, s7, c_off))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5819,plain,
% 11.83/8.09 ((~![X: $i, J0: $i] : ((~node14(J0, X)) | m_state_v_CMag(J0, X, c_off))) | (~node14(c_s, s7)) | m_state_v_CMag(c_s, s7, c_off)),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 11.83/8.09 tff(5820,plain,
% 11.83/8.09 (~node14(c_s, s7)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5819, 1712, 5816])).
% 11.83/8.09 tff(5821,plain,
% 11.83/8.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5822,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | ((~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5823,plain,
% 11.83/8.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~m_Communication_v_s(I0, J0)) | (~trans(X, Y)) | node16(J0, X, Y))) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)) | node16(c_s, s7, s8)),
% 11.83/8.09 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 11.83/8.09 tff(5824,plain,
% 11.83/8.09 (node16(c_s, s7, s8)),
% 11.83/8.09 inference(unit_resolution,[status(thm)],[5823, 1360, 1645, 4830])).
% 11.83/8.09 tff(5825,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5826,plain,
% 11.83/8.09 ((node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8))) <=> (node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7))),
% 11.83/8.09 inference(rewrite,[status(thm)],[])).
% 11.83/8.09 tff(5827,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7)))),
% 11.83/8.09 inference(monotonicity,[status(thm)],[5826])).
% 11.83/8.09 tff(5828,plain,
% 11.83/8.09 (((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7))),
% 11.83/8.09 inference(transitivity,[status(thm)],[5827, 5825])).
% 11.83/8.09 tff(5829,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | (node13(c_s, s7) | node14(c_s, s7) | node15(c_s, s7, s8) | (~node16(c_s, s7, s8)))),
% 11.83/8.09 inference(quant_inst,[status(thm)],[])).
% 11.83/8.09 tff(5830,plain,
% 11.83/8.09 ((~![Y: $i, X: $i, J0: $i] : (node13(J0, X) | node14(J0, X) | node15(J0, X, Y) | (~node16(J0, X, Y)))) | node14(c_s, s7) | (~node16(c_s, s7, s8)) | node15(c_s, s7, s8) | node13(c_s, s7)),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 11.83/8.10 tff(5831,plain,
% 11.83/8.10 (node14(c_s, s7) | node15(c_s, s7, s8) | node13(c_s, s7)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5830, 1659, 5824])).
% 11.83/8.10 tff(5832,plain,
% 11.83/8.10 (node15(c_s, s7, s8) | node13(c_s, s7)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5831, 5820])).
% 11.83/8.10 tff(5833,plain,
% 11.83/8.10 (node15(c_s, s7, s8)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5832, 5786])).
% 11.83/8.10 tff(5834,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5835,plain,
% 11.83/8.10 (((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8))) <=> (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5836,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | (m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8))))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5835])).
% 11.83/8.10 tff(5837,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8)))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5836, 5834])).
% 11.83/8.10 tff(5838,plain,
% 11.83/8.10 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | ((~node15(c_s, s7, s8)) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5839,plain,
% 11.83/8.10 ((~![Y: $i, X: $i, J0: $i] : ((~node15(J0, X, Y)) | m_state_v_ff(J0, X) | (~m_state_v_ff(J0, Y)))) | m_state_v_ff(c_s, s7) | (~m_state_v_ff(c_s, s8)) | (~node15(c_s, s7, s8))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5838, 5837])).
% 11.83/8.10 tff(5840,plain,
% 11.83/8.10 (~m_state_v_ff(c_s, s8)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5839, 1734, 4797, 5833])).
% 11.83/8.10 tff(5841,plain,
% 11.83/8.10 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s8)) | m_state_v_ff(c_s, s8))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s8)) | m_state_v_ff(c_s, s8))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5842,plain,
% 11.83/8.10 ((m_state_v_ff(c_s, s8) | (~node94(c_s, s8))) <=> ((~node94(c_s, s8)) | m_state_v_ff(c_s, s8))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5843,plain,
% 11.83/8.10 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | ((~node94(c_s, s8)) | m_state_v_ff(c_s, s8)))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5842])).
% 11.83/8.10 tff(5844,plain,
% 11.83/8.10 (((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s8)) | m_state_v_ff(c_s, s8))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5843, 5841])).
% 11.83/8.10 tff(5845,plain,
% 11.83/8.10 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (m_state_v_ff(c_s, s8) | (~node94(c_s, s8)))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5846,plain,
% 11.83/8.10 ((~![X: $i, J0: $i] : (m_state_v_ff(J0, X) | (~node94(J0, X)))) | (~node94(c_s, s8)) | m_state_v_ff(c_s, s8)),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 11.83/8.10 tff(5847,plain,
% 11.83/8.10 (~node94(c_s, s8)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5846, 1793, 5840])).
% 11.83/8.10 tff(5848,plain,
% 11.83/8.10 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5849,plain,
% 11.83/8.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5850,plain,
% 11.83/8.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Crane_v_s(I0, J0)) | node99(J0, X, Y))) | (~trans(s8, s9)) | (~m_Crane_v_s(c_CR, c_s)) | node99(c_s, s8, s9)),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 11.83/8.10 tff(5851,plain,
% 11.83/8.10 (node99(c_s, s8, s9)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5850, 27, 536, 4962])).
% 11.83/8.10 tff(5852,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5853,plain,
% 11.83/8.10 ((node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9))) <=> (node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5854,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9)))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5853])).
% 11.83/8.10 tff(5855,plain,
% 11.83/8.10 (((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5854, 5852])).
% 11.83/8.10 tff(5856,plain,
% 11.83/8.10 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | (node92(c_s, s8) | node93(c_s, s8) | node94(c_s, s8) | node95(c_s, s8) | node96(c_s, s8) | node97(c_s, s8) | node98(c_s, s8, s9) | (~node99(c_s, s8, s9)))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5857,plain,
% 11.83/8.10 ((~![Y: $i, X: $i, J0: $i] : (node92(J0, X) | node93(J0, X) | node94(J0, X) | node95(J0, X) | node96(J0, X) | node97(J0, X) | node98(J0, X, Y) | (~node99(J0, X, Y)))) | node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | (~node99(c_s, s8, s9)) | node98(c_s, s8, s9)),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 11.83/8.10 tff(5858,plain,
% 11.83/8.10 (node95(c_s, s8) | node94(c_s, s8) | node93(c_s, s8) | node97(c_s, s8) | node96(c_s, s8) | node92(c_s, s8) | node98(c_s, s8, s9)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5857, 644, 5851])).
% 11.83/8.10 tff(5859,plain,
% 11.83/8.10 (node93(c_s, s8) | node96(c_s, s8) | node98(c_s, s8, s9)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5858, 5847, 5087, 5083, 5079])).
% 11.83/8.10 tff(5860,plain,
% 11.83/8.10 (node98(c_s, s8, s9)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5859, 5075, 5008])).
% 11.83/8.10 tff(5861,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5862,plain,
% 11.83/8.10 (((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle)) <=> (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5863,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7))))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5862])).
% 11.83/8.10 tff(5864,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7)))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5863, 5861])).
% 11.83/8.10 tff(5865,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s6, s7)) | (~m_state_v_CVM(c_s, s6, c_idle)) | m_state_v_CVM(c_s, s7, c_idle))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5866,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s7, c_idle) | (~m_state_v_CVM(c_s, s6, c_idle)) | (~node98(c_s, s6, s7))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 11.83/8.10 tff(5867,plain,
% 11.83/8.10 (m_state_v_CVM(c_s, s7, c_idle)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5866, 815, 4868, 4532])).
% 11.83/8.10 tff(5868,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5869,plain,
% 11.83/8.10 (((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle)) <=> (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5870,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8))))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5869])).
% 11.83/8.10 tff(5871,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8)))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5870, 5868])).
% 11.83/8.10 tff(5872,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s7, s8)) | (~m_state_v_CVM(c_s, s7, c_idle)) | m_state_v_CVM(c_s, s8, c_idle))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5873,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | m_state_v_CVM(c_s, s8, c_idle) | (~m_state_v_CVM(c_s, s7, c_idle)) | (~node98(c_s, s7, s8))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 11.83/8.10 tff(5874,plain,
% 11.83/8.10 (m_state_v_CVM(c_s, s8, c_idle)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5873, 815, 5867, 4843])).
% 11.83/8.10 tff(5875,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5876,plain,
% 11.83/8.10 (((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle)) <=> ((~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5877,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9))))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5876])).
% 11.83/8.10 tff(5878,plain,
% 11.83/8.10 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9)))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5877, 5875])).
% 11.83/8.10 tff(5879,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | ((~node98(c_s, s8, s9)) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5880,plain,
% 11.83/8.10 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node98(J0, X, Y)) | (~m_state_v_CVM(J0, X, V)) | m_state_v_CVM(J0, Y, V))) | (~m_state_v_CVM(c_s, s8, c_idle)) | m_state_v_CVM(c_s, s9, c_idle) | (~node98(c_s, s8, s9))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5879, 5878])).
% 11.83/8.10 tff(5881,plain,
% 11.83/8.10 (m_state_v_CVM(c_s, s9, c_idle)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5880, 815, 5874, 5860])).
% 11.83/8.10 tff(5882,assumption,(node22(c_s, s9, s3)), introduced(assumption)).
% 11.83/8.10 tff(5883,assumption,(m_state_v_topPos(c_s, s0)), introduced(assumption)).
% 11.83/8.10 tff(5884,plain,
% 11.83/8.10 (^[I0: $i] : refl((~m_state_v_topPos(I0, s0)) <=> (~m_state_v_topPos(I0, s0)))),
% 11.83/8.10 inference(bind,[status(th)],[])).
% 11.83/8.10 tff(5885,plain,
% 11.83/8.10 (![I0: $i] : (~m_state_v_topPos(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.83/8.10 inference(quant_intro,[status(thm)],[5884])).
% 11.83/8.10 tff(5886,plain,
% 11.83/8.10 (![I0: $i] : (~m_state_v_topPos(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5887,axiom,(![I0: $i] : (~m_state_v_topPos(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_86')).
% 11.83/8.10 tff(5888,plain,
% 11.83/8.10 (![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 11.83/8.10 tff(5889,plain,(
% 11.83/8.10 ![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.83/8.10 inference(skolemize,[status(sab)],[5888])).
% 11.83/8.10 tff(5890,plain,
% 11.83/8.10 (![I0: $i] : (~m_state_v_topPos(I0, s0))),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5889, 5885])).
% 11.83/8.10 tff(5891,plain,
% 11.83/8.10 ((~![I0: $i] : (~m_state_v_topPos(I0, s0))) | (~m_state_v_topPos(c_s, s0))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5892,plain,
% 11.83/8.10 ($false),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5891, 5890, 5883])).
% 11.83/8.10 tff(5893,plain,(~m_state_v_topPos(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.83/8.10 tff(5894,plain,
% 11.83/8.10 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5895,plain,
% 11.83/8.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5896,plain,
% 11.83/8.10 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s0, s1)),
% 11.83/8.10 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 11.83/8.10 tff(5897,plain,
% 11.83/8.10 (node22(c_s, s0, s1)),
% 11.83/8.10 inference(unit_resolution,[status(thm)],[5896, 62, 5593, 49])).
% 11.83/8.10 tff(5898,plain,
% 11.83/8.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5899,plain,
% 11.83/8.10 (((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle))) <=> ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.83/8.10 inference(rewrite,[status(thm)],[])).
% 11.83/8.10 tff(5900,plain,
% 11.83/8.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up))))),
% 11.83/8.10 inference(monotonicity,[status(thm)],[5899])).
% 11.83/8.10 tff(5901,plain,
% 11.83/8.10 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up)))),
% 11.83/8.10 inference(transitivity,[status(thm)],[5900, 5898])).
% 11.83/8.10 tff(5902,plain,
% 11.83/8.10 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_up)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.83/8.10 inference(quant_inst,[status(thm)],[])).
% 11.83/8.10 tff(5903,plain,
% 11.83/8.10 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_idle)) | (~m_state_v_TEM(c_s, s0, c_up))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 11.83/8.11 tff(5904,plain,
% 11.83/8.11 (~m_state_v_TEM(c_s, s0, c_up)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5903, 4107, 1527])).
% 11.83/8.11 tff(5905,plain,
% 11.83/8.11 (^[I0: $i, X: $i] : refl(((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5906,plain,
% 11.83/8.11 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5905])).
% 11.83/8.11 tff(5907,plain,
% 11.83/8.11 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5908,axiom,(![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_38')).
% 11.83/8.11 tff(5909,plain,
% 11.83/8.11 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 11.83/8.11 tff(5910,plain,(
% 11.83/8.11 ![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5909])).
% 11.83/8.11 tff(5911,plain,
% 11.83/8.11 (![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5910, 5906])).
% 11.83/8.11 tff(5912,plain,
% 11.83/8.11 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5913,plain,
% 11.83/8.11 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5914,plain,
% 11.83/8.11 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s0, c_down)) | (~m_state_v_TEM(c_s, s0, c_idle))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 11.83/8.11 tff(5915,plain,
% 11.83/8.11 (~m_state_v_TEM(c_s, s0, c_down)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5914, 5911, 1527])).
% 11.83/8.11 tff(5916,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : refl((node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5917,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5916])).
% 11.83/8.11 tff(5918,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5919,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> ((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)))), rewrite(((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> (node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) <=> (node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)))), ((((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> ((node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | (~node22(J0, X, Y))))), rewrite(((node21(J0, X, Y) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | (~node22(J0, X, Y))) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))), ((((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5920,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5919])).
% 11.83/8.11 tff(5921,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down)) | node21(J0, X, Y)) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_16')).
% 11.83/8.11 tff(5922,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 11.83/8.11 tff(5923,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5922, 5918])).
% 11.83/8.11 tff(5924,plain,(
% 11.83/8.11 ![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5923])).
% 11.83/8.11 tff(5925,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5924, 5917])).
% 11.83/8.11 tff(5926,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5927,plain,
% 11.83/8.11 ((node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down)) <=> (m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5928,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1)))),
% 11.83/8.11 inference(monotonicity,[status(thm)],[5927])).
% 11.83/8.11 tff(5929,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1))),
% 11.83/8.11 inference(transitivity,[status(thm)],[5928, 5926])).
% 11.83/8.11 tff(5930,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s0, s1) | (~node22(c_s, s0, s1)) | m_state_v_TEM(c_s, s0, c_up) | m_state_v_TEM(c_s, s0, c_down))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5931,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s0, c_down) | m_state_v_TEM(c_s, s0, c_up) | (~node22(c_s, s0, s1)) | node21(c_s, s0, s1)),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 11.83/8.11 tff(5932,plain,
% 11.83/8.11 (node21(c_s, s0, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5931, 5925, 5915, 5904, 5897])).
% 11.83/8.11 tff(5933,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : refl(((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5934,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5933])).
% 11.83/8.11 tff(5935,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5936,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5937,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5936])).
% 11.83/8.11 tff(5938,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPos(J0, Y)) | m_state_v_topPos(J0, X)) | (~node21(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_13')).
% 11.83/8.11 tff(5939,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 11.83/8.11 tff(5940,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5939, 5935])).
% 11.83/8.11 tff(5941,plain,(
% 11.83/8.11 ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5940])).
% 11.83/8.11 tff(5942,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5941, 5934])).
% 11.83/8.11 tff(5943,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5944,plain,
% 11.83/8.11 (((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1))) <=> (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5945,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1))))),
% 11.83/8.11 inference(monotonicity,[status(thm)],[5944])).
% 11.83/8.11 tff(5946,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1)))),
% 11.83/8.11 inference(transitivity,[status(thm)],[5945, 5943])).
% 11.83/8.11 tff(5947,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | ((~node21(c_s, s0, s1)) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5948,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | m_state_v_topPos(J0, X) | (~m_state_v_topPos(J0, Y)))) | m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1)) | (~node21(c_s, s0, s1))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 11.83/8.11 tff(5949,plain,
% 11.83/8.11 (m_state_v_topPos(c_s, s0) | (~m_state_v_topPos(c_s, s1))),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5948, 5942, 5932])).
% 11.83/8.11 tff(5950,plain,
% 11.83/8.11 (~m_state_v_topPos(c_s, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5949, 5893])).
% 11.83/8.11 tff(5951,plain,
% 11.83/8.11 (^[X: $i, J0: $i] : refl((m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> (m_state_v_topPos(J0, X) | (~node171(J0, X))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5952,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5951])).
% 11.83/8.11 tff(5953,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5954,axiom,(![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_29')).
% 11.83/8.11 tff(5955,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 11.83/8.11 tff(5956,plain,(
% 11.83/8.11 ![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5955])).
% 11.83/8.11 tff(5957,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5956, 5952])).
% 11.83/8.11 tff(5958,plain,
% 11.83/8.11 (((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5959,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | (m_state_v_topPos(c_s, s1) | (~node171(c_s, s1)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5960,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_topPos(J0, X) | (~node171(J0, X)))) | m_state_v_topPos(c_s, s1) | (~node171(c_s, s1))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5959, 5958])).
% 11.83/8.11 tff(5961,plain,
% 11.83/8.11 (~node171(c_s, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5960, 5957, 5950])).
% 11.83/8.11 tff(5962,plain,
% 11.83/8.11 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5963,plain,
% 11.83/8.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5964,plain,
% 11.83/8.11 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s1, s2)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s1, s2)),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 11.83/8.11 tff(5965,plain,
% 11.83/8.11 (node175(c_s, s1, s2)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5964, 1505, 1502, 271])).
% 11.83/8.11 tff(5966,plain,
% 11.83/8.11 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5967,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5966])).
% 11.83/8.11 tff(5968,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5969,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_35')).
% 11.83/8.11 tff(5970,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5969, 5968])).
% 11.83/8.11 tff(5971,plain,(
% 11.83/8.11 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5970])).
% 11.83/8.11 tff(5972,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5971, 5967])).
% 11.83/8.11 tff(5973,plain,
% 11.83/8.11 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5974,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | (m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5975,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_down) | (~node173(J0, X)))) | m_state_v_TEM(c_s, s1, c_down) | (~node173(c_s, s1))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 11.83/8.11 tff(5976,plain,
% 11.83/8.11 (~node173(c_s, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5975, 5972, 1576])).
% 11.83/8.11 tff(5977,plain,
% 11.83/8.11 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X))) <=> (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5978,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5977])).
% 11.83/8.11 tff(5979,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5980,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_25')).
% 11.83/8.11 tff(5981,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 11.83/8.11 tff(5982,plain,(
% 11.83/8.11 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5981])).
% 11.83/8.11 tff(5983,plain,
% 11.83/8.11 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5982, 5978])).
% 11.83/8.11 tff(5984,plain,
% 11.83/8.11 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))) | (m_state_v_TEM(c_s, s1, c_idle) | (~node170(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))) | m_state_v_TEM(c_s, s1, c_idle) | (~node170(c_s, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5985,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))) | (m_state_v_TEM(c_s, s1, c_idle) | (~node170(c_s, s1)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5986,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_idle) | (~node170(J0, X)))) | m_state_v_TEM(c_s, s1, c_idle) | (~node170(c_s, s1))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 11.83/8.11 tff(5987,plain,
% 11.83/8.11 (~node170(c_s, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5986, 5983, 4114])).
% 11.83/8.11 tff(5988,plain,
% 11.83/8.11 (^[X: $i, J0: $i] : refl(((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ((~m_state_v_tl(J0, X)) | (~node172(J0, X))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(5989,plain,
% 11.83/8.11 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5988])).
% 11.83/8.11 tff(5990,plain,
% 11.83/8.11 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5991,axiom,(![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_34')).
% 11.83/8.11 tff(5992,plain,
% 11.83/8.11 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 11.83/8.11 tff(5993,plain,(
% 11.83/8.11 ![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[5992])).
% 11.83/8.11 tff(5994,plain,
% 11.83/8.11 (![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5993, 5989])).
% 11.83/8.11 tff(5995,plain,
% 11.83/8.11 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node172(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node172(c_s, s1)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(5996,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s1)) | (~node172(c_s, s1)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(5997,plain,
% 11.83/8.11 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s1)) | (~node172(c_s, s1))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[5996, 5995])).
% 11.83/8.11 tff(5998,plain,
% 11.83/8.11 (~node172(c_s, s1)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[5997, 5994, 1455])).
% 11.83/8.11 tff(5999,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : refl((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(6000,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[5999])).
% 11.83/8.11 tff(6001,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(6002,plain,
% 11.83/8.11 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node170(J0, X) | node171(J0, X)) | node172(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X)) | node173(J0, X)))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X)) | node173(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X))), ((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)))), (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)) | node174(J0, X, Y)))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X)) | node174(J0, X, Y)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y))), (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)))), ((((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> ((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)) | (~node175(J0, X, Y))))), rewrite(((node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))), ((((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(6003,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[6002])).
% 11.83/8.11 tff(6004,axiom,(![Y: $i, X: $i, J0: $i] : (((((node170(J0, X) | node171(J0, X)) | node172(J0, X)) | node173(J0, X)) | node174(J0, X, Y)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_43')).
% 11.83/8.11 tff(6005,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 11.83/8.11 tff(6006,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[6005, 6001])).
% 11.83/8.11 tff(6007,plain,(
% 11.83/8.11 ![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(skolemize,[status(sab)],[6006])).
% 11.83/8.11 tff(6008,plain,
% 11.83/8.11 (![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[6007, 6000])).
% 11.83/8.11 tff(6009,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(6010,plain,
% 11.83/8.11 ((node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2))) <=> (node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(6011,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2)))),
% 11.83/8.11 inference(monotonicity,[status(thm)],[6010])).
% 11.83/8.11 tff(6012,plain,
% 11.83/8.11 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2))),
% 11.83/8.11 inference(transitivity,[status(thm)],[6011, 6009])).
% 11.83/8.11 tff(6013,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s1) | node172(c_s, s1) | node171(c_s, s1) | node173(c_s, s1) | node174(c_s, s1, s2) | (~node175(c_s, s1, s2)))),
% 11.83/8.11 inference(quant_inst,[status(thm)],[])).
% 11.83/8.11 tff(6014,plain,
% 11.83/8.11 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node170(c_s, s1) | node172(c_s, s1) | node173(c_s, s1) | node171(c_s, s1) | (~node175(c_s, s1, s2)) | node174(c_s, s1, s2)),
% 11.83/8.11 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 11.83/8.11 tff(6015,plain,
% 11.83/8.11 (node171(c_s, s1) | node174(c_s, s1, s2)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[6014, 6008, 5998, 5987, 5976, 5965])).
% 11.83/8.11 tff(6016,plain,
% 11.83/8.11 (node174(c_s, s1, s2)),
% 11.83/8.11 inference(unit_resolution,[status(thm)],[6015, 5961])).
% 11.83/8.11 tff(6017,assumption,(node174(c_s, s1, s2)), introduced(assumption)).
% 11.83/8.11 tff(6018,assumption,(~m_state_v_TEM(c_s, s2, c_up)), introduced(assumption)).
% 11.83/8.11 tff(6019,plain,
% 11.83/8.11 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(6020,plain,
% 11.83/8.11 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[6019])).
% 11.83/8.11 tff(6021,plain,
% 11.83/8.11 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.11 inference(rewrite,[status(thm)],[])).
% 11.83/8.11 tff(6022,plain,
% 11.83/8.11 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) <=> ((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))), (((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> (((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) | (~node174(J0, X, Y))))), rewrite((((~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V)) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))), (((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))))),
% 11.83/8.11 inference(bind,[status(th)],[])).
% 11.83/8.11 tff(6023,plain,
% 11.83/8.11 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.11 inference(quant_intro,[status(thm)],[6022])).
% 11.83/8.11 tff(6024,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_TEM(J0, Y, V) | (~m_state_v_TEM(J0, X, V))) | (~node174(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_37')).
% 11.83/8.11 tff(6025,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6024, 6023])).
% 11.83/8.12 tff(6026,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6025, 6021])).
% 11.83/8.12 tff(6027,plain,(
% 11.83/8.12 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.12 inference(skolemize,[status(sab)],[6026])).
% 11.83/8.12 tff(6028,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6027, 6020])).
% 11.83/8.12 tff(6029,plain,
% 11.83/8.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6030,plain,
% 11.83/8.12 (((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up)) <=> (m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6031,plain,
% 11.83/8.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2))))),
% 11.83/8.12 inference(monotonicity,[status(thm)],[6030])).
% 11.83/8.12 tff(6032,plain,
% 11.83/8.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2)))),
% 11.83/8.12 inference(transitivity,[status(thm)],[6031, 6029])).
% 11.83/8.12 tff(6033,plain,
% 11.83/8.12 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s1, s2)) | (~m_state_v_TEM(c_s, s1, c_up)) | m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6034,plain,
% 11.83/8.12 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s2, c_up) | (~m_state_v_TEM(c_s, s1, c_up)) | (~node174(c_s, s1, s2))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6033, 6032])).
% 11.83/8.12 tff(6035,plain,
% 11.83/8.12 ($false),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6034, 6028, 6018, 1562, 6017])).
% 11.83/8.12 tff(6036,plain,((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s2, c_up)), inference(lemma,lemma(discharge,[]))).
% 11.83/8.12 tff(6037,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s2, c_up)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6036, 6016])).
% 11.83/8.12 tff(6038,plain,
% 11.83/8.12 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node170(J0, X))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6039,plain,
% 11.83/8.12 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6038])).
% 11.83/8.12 tff(6040,plain,
% 11.83/8.12 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6041,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_23')).
% 11.83/8.12 tff(6042,plain,
% 11.83/8.12 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6041, 6040])).
% 11.83/8.12 tff(6043,plain,(
% 11.83/8.12 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.83/8.12 inference(skolemize,[status(sab)],[6042])).
% 11.83/8.12 tff(6044,plain,
% 11.83/8.12 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6043, 6039])).
% 11.83/8.12 tff(6045,plain,
% 11.83/8.12 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node170(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node170(c_s, s2)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6046,plain,
% 11.83/8.12 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | (m_state_v_botPos(c_s, s2) | (~node170(c_s, s2)))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6047,plain,
% 11.83/8.12 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node170(J0, X)))) | m_state_v_botPos(c_s, s2) | (~node170(c_s, s2))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 11.83/8.12 tff(6048,plain,
% 11.83/8.12 (~node170(c_s, s2)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6047, 6044, 1593])).
% 11.83/8.12 tff(6049,plain,
% 11.83/8.12 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6050,plain,
% 11.83/8.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6051,plain,
% 11.83/8.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s2, s3)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s2, s3)),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 11.83/8.12 tff(6052,plain,
% 11.83/8.12 (node175(c_s, s2, s3)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6051, 1505, 1502, 480])).
% 11.83/8.12 tff(6053,plain,
% 11.83/8.12 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6054,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6053])).
% 11.83/8.12 tff(6055,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6056,plain,
% 11.83/8.12 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) <=> ((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X))), (((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) <=> (((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | (~m_state_v_topPos(J0, X))))), rewrite((((~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X))), (((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)))), ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | m_state_v_TEM(J0, Y, c_idle)))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X)) | m_state_v_TEM(J0, Y, c_idle)) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle))), ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)))), (((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))), (((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6057,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6056])).
% 11.83/8.12 tff(6058,axiom,(![Y: $i, X: $i, J0: $i] : ((((node170(J0, X) | (~m_state_v_TEM(J0, X, c_up))) | (~m_state_v_topPos(J0, X))) | m_state_v_TEM(J0, Y, c_idle)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_40')).
% 11.83/8.12 tff(6059,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 11.83/8.12 tff(6060,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6059, 6055])).
% 11.83/8.12 tff(6061,plain,(
% 11.83/8.12 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(skolemize,[status(sab)],[6060])).
% 11.83/8.12 tff(6062,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6061, 6054])).
% 11.83/8.12 tff(6063,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6064,plain,
% 11.83/8.12 (((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3))) <=> (m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6065,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up))))),
% 11.83/8.12 inference(monotonicity,[status(thm)],[6064])).
% 11.83/8.12 tff(6066,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.83/8.12 inference(transitivity,[status(thm)],[6065, 6063])).
% 11.83/8.12 tff(6067,plain,
% 11.83/8.12 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | ((~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up)) | node170(c_s, s2) | m_state_v_TEM(c_s, s3, c_idle) | (~node175(c_s, s2, s3)))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6068,plain,
% 11.83/8.12 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, X)) | (~m_state_v_TEM(J0, X, c_up)) | node170(J0, X) | m_state_v_TEM(J0, Y, c_idle) | (~node175(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~node175(c_s, s2, s3)) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6067, 6066])).
% 11.83/8.12 tff(6069,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s3, c_idle) | node170(c_s, s2) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6068, 6062, 6052])).
% 11.83/8.12 tff(6070,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s3, c_idle) | (~m_state_v_topPos(c_s, s2)) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6069, 6048])).
% 11.83/8.12 tff(6071,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s3, c_idle) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6070, 5614])).
% 11.83/8.12 tff(6072,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s3, c_idle)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6071, 6037])).
% 11.83/8.12 tff(6073,plain,
% 11.83/8.12 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6074,plain,
% 11.83/8.12 (((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle))) <=> ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6075,plain,
% 11.83/8.12 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up))))),
% 11.83/8.12 inference(monotonicity,[status(thm)],[6074])).
% 11.83/8.12 tff(6076,plain,
% 11.83/8.12 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up)))),
% 11.83/8.12 inference(transitivity,[status(thm)],[6075, 6073])).
% 11.83/8.12 tff(6077,plain,
% 11.83/8.12 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_up)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6078,plain,
% 11.83/8.12 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_up)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_idle)) | (~m_state_v_TEM(c_s, s3, c_up))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 11.83/8.12 tff(6079,plain,
% 11.83/8.12 (~m_state_v_TEM(c_s, s3, c_up)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6078, 4107, 6072])).
% 11.83/8.12 tff(6080,plain,
% 11.83/8.12 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6081,plain,
% 11.83/8.12 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | ((~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle)))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6082,plain,
% 11.83/8.12 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_idle)))) | (~m_state_v_TEM(c_s, s3, c_down)) | (~m_state_v_TEM(c_s, s3, c_idle))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 11.83/8.12 tff(6083,plain,
% 11.83/8.12 (~m_state_v_TEM(c_s, s3, c_down)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6082, 5911, 6072])).
% 11.83/8.12 tff(6084,plain,
% 11.83/8.12 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6085,plain,
% 11.83/8.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6086,plain,
% 11.83/8.12 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s3, s4)),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 11.83/8.12 tff(6087,plain,
% 11.83/8.12 (node24(c_s, s3, s4)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6086, 62, 1488, 911])).
% 11.83/8.12 tff(6088,plain,
% 11.83/8.12 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6089,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6088])).
% 11.83/8.12 tff(6090,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6091,plain,
% 11.83/8.12 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y))), ((((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> ((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y)) | (~node24(J0, X, Y))))), rewrite(((m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))), ((((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6092,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6091])).
% 11.83/8.12 tff(6093,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_down) | m_state_v_TEM(J0, X, c_up)) | node23(J0, X, Y)) | (~node24(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_22')).
% 11.83/8.12 tff(6094,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 11.83/8.12 tff(6095,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6094, 6090])).
% 11.83/8.12 tff(6096,plain,(
% 11.83/8.12 ![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(skolemize,[status(sab)],[6095])).
% 11.83/8.12 tff(6097,plain,
% 11.83/8.12 (![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6096, 6089])).
% 11.83/8.12 tff(6098,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6099,plain,
% 11.83/8.12 ((m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4))) <=> (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6100,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4))))),
% 11.83/8.12 inference(monotonicity,[status(thm)],[6099])).
% 11.83/8.12 tff(6101,plain,
% 11.83/8.12 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.83/8.12 inference(transitivity,[status(thm)],[6100, 6098])).
% 11.83/8.12 tff(6102,plain,
% 11.83/8.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4)))),
% 11.83/8.12 inference(quant_inst,[status(thm)],[])).
% 11.83/8.12 tff(6103,plain,
% 11.83/8.12 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4) | (~node24(c_s, s3, s4))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6102, 6101])).
% 11.83/8.12 tff(6104,plain,
% 11.83/8.12 (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node23(c_s, s3, s4)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6103, 6097, 6087])).
% 11.83/8.12 tff(6105,plain,
% 11.83/8.12 (node23(c_s, s3, s4)),
% 11.83/8.12 inference(unit_resolution,[status(thm)],[6104, 6083, 6079])).
% 11.83/8.12 tff(6106,plain,
% 11.83/8.12 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6107,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6106])).
% 11.83/8.12 tff(6108,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6109,plain,
% 11.83/8.12 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y))) <=> ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V))))),
% 11.83/8.12 inference(bind,[status(th)],[])).
% 11.83/8.12 tff(6110,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(quant_intro,[status(thm)],[6109])).
% 11.83/8.12 tff(6111,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_TEM(J0, Y, V)) | m_state_v_TEM(J0, X, V)) | (~node174(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_38')).
% 11.83/8.12 tff(6112,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 11.83/8.12 tff(6113,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6112, 6108])).
% 11.83/8.12 tff(6114,plain,(
% 11.83/8.12 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(skolemize,[status(sab)],[6113])).
% 11.83/8.12 tff(6115,plain,
% 11.83/8.12 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))),
% 11.83/8.12 inference(modus_ponens,[status(thm)],[6114, 6107])).
% 11.83/8.12 tff(6116,plain,
% 11.83/8.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6117,plain,
% 11.83/8.12 (((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down))) <=> ((~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2)))),
% 11.83/8.12 inference(rewrite,[status(thm)],[])).
% 11.83/8.12 tff(6118,plain,
% 11.83/8.12 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2))))),
% 11.83/8.13 inference(monotonicity,[status(thm)],[6117])).
% 11.83/8.13 tff(6119,plain,
% 11.83/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2)))),
% 11.83/8.13 inference(transitivity,[status(thm)],[6118, 6116])).
% 11.83/8.13 tff(6120,plain,
% 11.83/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s1, s2)) | m_state_v_TEM(c_s, s1, c_down) | (~m_state_v_TEM(c_s, s2, c_down)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6121,plain,
% 11.83/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s2, c_down)) | m_state_v_TEM(c_s, s1, c_down) | (~node174(c_s, s1, s2))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 11.83/8.13 tff(6122,plain,
% 11.83/8.13 (~m_state_v_TEM(c_s, s2, c_down)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6121, 6115, 1576, 6016])).
% 11.83/8.13 tff(6123,plain,
% 11.83/8.13 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6124,plain,
% 11.83/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6125,plain,
% 11.83/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s2, s3)),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 11.83/8.13 tff(6126,plain,
% 11.83/8.13 (node24(c_s, s2, s3)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6125, 62, 1488, 480])).
% 11.83/8.13 tff(6127,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6128,plain,
% 11.83/8.13 (((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3))) <=> ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6129,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3))))),
% 11.83/8.13 inference(monotonicity,[status(thm)],[6128])).
% 11.83/8.13 tff(6130,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3)))),
% 11.83/8.13 inference(transitivity,[status(thm)],[6129, 6127])).
% 11.83/8.13 tff(6131,plain,
% 11.83/8.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | ((~m_state_v_TEM(c_s, s2, c_up)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_botPos(c_s, s3)) | (~node24(c_s, s2, s3)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6132,plain,
% 11.83/8.13 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TEM(J0, X, c_up)) | m_state_v_TEM(J0, X, c_down) | (~m_state_v_botPos(J0, Y)) | (~node24(J0, X, Y)))) | (~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node24(c_s, s2, s3))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 11.83/8.13 tff(6133,plain,
% 11.83/8.13 ((~m_state_v_botPos(c_s, s3)) | m_state_v_TEM(c_s, s2, c_down) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6132, 1586, 6126])).
% 11.83/8.13 tff(6134,plain,
% 11.83/8.13 (~m_state_v_botPos(c_s, s3)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6133, 6122, 6037])).
% 11.83/8.13 tff(6135,plain,
% 11.83/8.13 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))))),
% 11.83/8.13 inference(bind,[status(th)],[])).
% 11.83/8.13 tff(6136,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(quant_intro,[status(thm)],[6135])).
% 11.83/8.13 tff(6137,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6138,plain,
% 11.83/8.13 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y))) <=> (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y))))),
% 11.83/8.13 inference(bind,[status(th)],[])).
% 11.83/8.13 tff(6139,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(quant_intro,[status(thm)],[6138])).
% 11.83/8.13 tff(6140,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_botPos(J0, Y)) | m_state_v_botPos(J0, X)) | (~node23(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_19')).
% 11.83/8.13 tff(6141,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 11.83/8.13 tff(6142,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6141, 6137])).
% 11.83/8.13 tff(6143,plain,(
% 11.83/8.13 ![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(skolemize,[status(sab)],[6142])).
% 11.83/8.13 tff(6144,plain,
% 11.83/8.13 (![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6143, 6136])).
% 11.83/8.13 tff(6145,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6146,plain,
% 11.83/8.13 ((m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4))) <=> (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6147,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4))))),
% 11.83/8.13 inference(monotonicity,[status(thm)],[6146])).
% 11.83/8.13 tff(6148,plain,
% 11.83/8.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4)))),
% 11.83/8.13 inference(transitivity,[status(thm)],[6147, 6145])).
% 11.83/8.13 tff(6149,plain,
% 11.83/8.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s3) | (~node23(c_s, s3, s4)) | (~m_state_v_botPos(c_s, s4)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6150,plain,
% 11.83/8.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s3) | (~m_state_v_botPos(c_s, s4)) | (~node23(c_s, s3, s4))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 11.83/8.13 tff(6151,plain,
% 11.83/8.13 (~m_state_v_botPos(c_s, s4)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6150, 6144, 6134, 6105])).
% 11.83/8.13 tff(6152,assumption,(node173(c_s, s3)), introduced(assumption)).
% 11.83/8.13 tff(6153,assumption,(~m_state_v_botPos(c_s, s3)), introduced(assumption)).
% 11.83/8.13 tff(6154,plain,
% 11.83/8.13 (^[X: $i, J0: $i] : refl((m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> (m_state_v_botPos(J0, X) | (~node173(J0, X))))),
% 11.83/8.13 inference(bind,[status(th)],[])).
% 11.83/8.13 tff(6155,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.83/8.13 inference(quant_intro,[status(thm)],[6154])).
% 11.83/8.13 tff(6156,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6157,axiom,(![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_36')).
% 11.83/8.13 tff(6158,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 11.83/8.13 tff(6159,plain,(
% 11.83/8.13 ![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.83/8.13 inference(skolemize,[status(sab)],[6158])).
% 11.83/8.13 tff(6160,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6159, 6155])).
% 11.83/8.13 tff(6161,plain,
% 11.83/8.13 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6162,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s3) | (~node173(c_s, s3)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6163,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s3) | (~node173(c_s, s3))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 11.83/8.13 tff(6164,plain,
% 11.83/8.13 ($false),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6163, 6160, 6153, 6152])).
% 11.83/8.13 tff(6165,plain,((~node173(c_s, s3)) | m_state_v_botPos(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 11.83/8.13 tff(6166,plain,
% 11.83/8.13 (~node173(c_s, s3)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6165, 6134])).
% 11.83/8.13 tff(6167,plain,
% 11.83/8.13 (^[X: $i, J0: $i] : refl((m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))))),
% 11.83/8.13 inference(bind,[status(th)],[])).
% 11.83/8.13 tff(6168,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.83/8.13 inference(quant_intro,[status(thm)],[6167])).
% 11.83/8.13 tff(6169,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6170,axiom,(![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_28')).
% 11.83/8.13 tff(6171,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 11.83/8.13 tff(6172,plain,(
% 11.83/8.13 ![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.83/8.13 inference(skolemize,[status(sab)],[6171])).
% 11.83/8.13 tff(6173,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6172, 6168])).
% 11.83/8.13 tff(6174,plain,
% 11.83/8.13 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6175,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6176,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s3, c_up) | (~node171(c_s, s3))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 11.83/8.13 tff(6177,plain,
% 11.83/8.13 (~node171(c_s, s3)),
% 11.83/8.13 inference(unit_resolution,[status(thm)],[6176, 6173, 6079])).
% 11.83/8.13 tff(6178,plain,
% 11.83/8.13 (^[X: $i, J0: $i] : refl((m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> (m_state_v_minRot(J0, X) | (~node170(J0, X))))),
% 11.83/8.13 inference(bind,[status(th)],[])).
% 11.83/8.13 tff(6179,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.83/8.13 inference(quant_intro,[status(thm)],[6178])).
% 11.83/8.13 tff(6180,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6181,axiom,(![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_24')).
% 11.83/8.13 tff(6182,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 11.83/8.13 tff(6183,plain,(
% 11.83/8.13 ![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.83/8.13 inference(skolemize,[status(sab)],[6182])).
% 11.83/8.13 tff(6184,plain,
% 11.83/8.13 (![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))),
% 11.83/8.13 inference(modus_ponens,[status(thm)],[6183, 6179])).
% 11.83/8.13 tff(6185,plain,
% 11.83/8.13 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))),
% 11.83/8.13 inference(rewrite,[status(thm)],[])).
% 11.83/8.13 tff(6186,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s3) | (~node170(c_s, s3)))),
% 11.83/8.13 inference(quant_inst,[status(thm)],[])).
% 11.83/8.13 tff(6187,plain,
% 11.83/8.13 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s3) | (~node170(c_s, s3))),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 11.88/8.13 tff(6188,plain,
% 11.88/8.13 (~node170(c_s, s3)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6187, 6184, 4223])).
% 11.88/8.13 tff(6189,plain,
% 11.88/8.13 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6190,plain,
% 11.88/8.13 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3)))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6191,plain,
% 11.88/8.13 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s3)) | (~node172(c_s, s3))),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 11.88/8.13 tff(6192,plain,
% 11.88/8.13 (~node172(c_s, s3)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6191, 5994, 3679])).
% 11.88/8.13 tff(6193,plain,
% 11.88/8.13 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6194,plain,
% 11.88/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6195,plain,
% 11.88/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s3, s4)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s3, s4)),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 11.88/8.13 tff(6196,plain,
% 11.88/8.13 (node175(c_s, s3, s4)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6195, 1505, 1502, 911])).
% 11.88/8.13 tff(6197,plain,
% 11.88/8.13 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6198,plain,
% 11.88/8.13 ((node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4))) <=> (node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6199,plain,
% 11.88/8.13 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3)))),
% 11.88/8.13 inference(monotonicity,[status(thm)],[6198])).
% 11.88/8.13 tff(6200,plain,
% 11.88/8.13 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3))),
% 11.88/8.13 inference(transitivity,[status(thm)],[6199, 6197])).
% 11.88/8.13 tff(6201,plain,
% 11.88/8.13 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s3) | node172(c_s, s3) | node171(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | (~node175(c_s, s3, s4)))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6202,plain,
% 11.88/8.13 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | (~node175(c_s, s3, s4)) | node174(c_s, s3, s4) | node171(c_s, s3)),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 11.88/8.13 tff(6203,plain,
% 11.88/8.13 (node172(c_s, s3) | node170(c_s, s3) | node173(c_s, s3) | node174(c_s, s3, s4) | node171(c_s, s3)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6202, 6008, 6196])).
% 11.88/8.13 tff(6204,plain,
% 11.88/8.13 (node173(c_s, s3) | node174(c_s, s3, s4) | node171(c_s, s3)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6203, 6192, 6188])).
% 11.88/8.13 tff(6205,plain,
% 11.88/8.13 (node174(c_s, s3, s4)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6204, 6177, 6166])).
% 11.88/8.13 tff(6206,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6207,plain,
% 11.88/8.13 (((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up))) <=> ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6208,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4))))),
% 11.88/8.13 inference(monotonicity,[status(thm)],[6207])).
% 11.88/8.13 tff(6209,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(transitivity,[status(thm)],[6208, 6206])).
% 11.88/8.13 tff(6210,plain,
% 11.88/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | (~m_state_v_TEM(c_s, s4, c_up)))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6211,plain,
% 11.88/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_up)) | m_state_v_TEM(c_s, s3, c_up) | (~node174(c_s, s3, s4))),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 11.88/8.13 tff(6212,plain,
% 11.88/8.13 (~m_state_v_TEM(c_s, s4, c_up)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6211, 6115, 6079, 6205])).
% 11.88/8.13 tff(6213,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6214,plain,
% 11.88/8.13 (((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down))) <=> ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6215,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4))))),
% 11.88/8.13 inference(monotonicity,[status(thm)],[6214])).
% 11.88/8.13 tff(6216,plain,
% 11.88/8.13 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4)))),
% 11.88/8.13 inference(transitivity,[status(thm)],[6215, 6213])).
% 11.88/8.13 tff(6217,plain,
% 11.88/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_down) | (~m_state_v_TEM(c_s, s4, c_down)))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6218,plain,
% 11.88/8.13 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s4, c_down)) | m_state_v_TEM(c_s, s3, c_down) | (~node174(c_s, s3, s4))),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 11.88/8.13 tff(6219,plain,
% 11.88/8.13 (~m_state_v_TEM(c_s, s4, c_down)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6218, 6115, 6083, 6205])).
% 11.88/8.13 tff(6220,plain,
% 11.88/8.13 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6221,plain,
% 11.88/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6222,plain,
% 11.88/8.13 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s4, s5)),
% 11.88/8.13 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 11.88/8.13 tff(6223,plain,
% 11.88/8.13 (node24(c_s, s4, s5)),
% 11.88/8.13 inference(unit_resolution,[status(thm)],[6222, 62, 1488, 1043])).
% 11.88/8.13 tff(6224,plain,
% 11.88/8.13 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))),
% 11.88/8.13 inference(rewrite,[status(thm)],[])).
% 11.88/8.13 tff(6225,plain,
% 11.88/8.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5)))),
% 11.88/8.13 inference(quant_inst,[status(thm)],[])).
% 11.88/8.13 tff(6226,plain,
% 11.88/8.13 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5) | (~node24(c_s, s4, s5))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 11.88/8.14 tff(6227,plain,
% 11.88/8.14 (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node23(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6226, 6097, 6223])).
% 11.88/8.14 tff(6228,plain,
% 11.88/8.14 (node23(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6227, 6219, 6212])).
% 11.88/8.14 tff(6229,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6230,plain,
% 11.88/8.14 ((m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5))) <=> ((~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6231,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | ((~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5))))),
% 11.88/8.14 inference(monotonicity,[status(thm)],[6230])).
% 11.88/8.14 tff(6232,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)))),
% 11.88/8.14 inference(transitivity,[status(thm)],[6231, 6229])).
% 11.88/8.14 tff(6233,plain,
% 11.88/8.14 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5)) | (~m_state_v_botPos(c_s, s5)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6234,plain,
% 11.88/8.14 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (~m_state_v_botPos(c_s, s5)) | m_state_v_botPos(c_s, s4) | (~node23(c_s, s4, s5))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 11.88/8.14 tff(6235,plain,
% 11.88/8.14 (~m_state_v_botPos(c_s, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6234, 6144, 6228, 6151])).
% 11.88/8.14 tff(6236,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6237,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s5) | (~node173(c_s, s5)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6238,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s5) | (~node173(c_s, s5))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 11.88/8.14 tff(6239,plain,
% 11.88/8.14 (~node173(c_s, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6238, 6160, 6235])).
% 11.88/8.14 tff(6240,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6241,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s4) | (~node173(c_s, s4)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6242,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s4) | (~node173(c_s, s4))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 11.88/8.14 tff(6243,plain,
% 11.88/8.14 (~node173(c_s, s4)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6242, 6160, 6151])).
% 11.88/8.14 tff(6244,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6245,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6246,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s4, c_up) | (~node171(c_s, s4))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 11.88/8.14 tff(6247,plain,
% 11.88/8.14 (~node171(c_s, s4)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6246, 6173, 6212])).
% 11.88/8.14 tff(6248,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6249,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s4) | (~node170(c_s, s4)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6250,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s4) | (~node170(c_s, s4))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 11.88/8.14 tff(6251,plain,
% 11.88/8.14 (~node170(c_s, s4)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6250, 6184, 4329])).
% 11.88/8.14 tff(6252,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6253,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6254,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s4)) | (~node172(c_s, s4))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 11.88/8.14 tff(6255,plain,
% 11.88/8.14 (~node172(c_s, s4)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6254, 5994, 5707])).
% 11.88/8.14 tff(6256,plain,
% 11.88/8.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6257,plain,
% 11.88/8.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6258,plain,
% 11.88/8.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s4, s5)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s4, s5)),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6257, 6256])).
% 11.88/8.14 tff(6259,plain,
% 11.88/8.14 (node175(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6258, 1505, 1502, 1043])).
% 11.88/8.14 tff(6260,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6261,plain,
% 11.88/8.14 ((node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5))) <=> (node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6262,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5)))),
% 11.88/8.14 inference(monotonicity,[status(thm)],[6261])).
% 11.88/8.14 tff(6263,plain,
% 11.88/8.14 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5))),
% 11.88/8.14 inference(transitivity,[status(thm)],[6262, 6260])).
% 11.88/8.14 tff(6264,plain,
% 11.88/8.14 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s4) | node172(c_s, s4) | node171(c_s, s4) | node173(c_s, s4) | node174(c_s, s4, s5) | (~node175(c_s, s4, s5)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6265,plain,
% 11.88/8.14 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | (~node175(c_s, s4, s5)) | node174(c_s, s4, s5)),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 11.88/8.14 tff(6266,plain,
% 11.88/8.14 (node172(c_s, s4) | node170(c_s, s4) | node173(c_s, s4) | node171(c_s, s4) | node174(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6265, 6008, 6259])).
% 11.88/8.14 tff(6267,plain,
% 11.88/8.14 (node173(c_s, s4) | node171(c_s, s4) | node174(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6266, 6255, 6251])).
% 11.88/8.14 tff(6268,plain,
% 11.88/8.14 (node174(c_s, s4, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6267, 6247, 6243])).
% 11.88/8.14 tff(6269,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6270,plain,
% 11.88/8.14 (((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up))) <=> ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6271,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5))))),
% 11.88/8.14 inference(monotonicity,[status(thm)],[6270])).
% 11.88/8.14 tff(6272,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5)))),
% 11.88/8.14 inference(transitivity,[status(thm)],[6271, 6269])).
% 11.88/8.14 tff(6273,plain,
% 11.88/8.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | (~m_state_v_TEM(c_s, s5, c_up)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6274,plain,
% 11.88/8.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_up)) | m_state_v_TEM(c_s, s4, c_up) | (~node174(c_s, s4, s5))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 11.88/8.14 tff(6275,plain,
% 11.88/8.14 (~m_state_v_TEM(c_s, s5, c_up)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6274, 6115, 6212, 6268])).
% 11.88/8.14 tff(6276,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6277,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6278,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s5, c_up) | (~node171(c_s, s5))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 11.88/8.14 tff(6279,plain,
% 11.88/8.14 (~node171(c_s, s5)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6278, 6173, 6275])).
% 11.88/8.14 tff(6280,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6281,plain,
% 11.88/8.14 (((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock))) <=> (m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2)))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6282,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2))))),
% 11.88/8.14 inference(monotonicity,[status(thm)],[6281])).
% 11.88/8.14 tff(6283,plain,
% 11.88/8.14 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2)))),
% 11.88/8.14 inference(transitivity,[status(thm)],[6282, 6280])).
% 11.88/8.14 tff(6284,plain,
% 11.88/8.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6285,plain,
% 11.88/8.14 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_counterclock) | (~m_state_v_RRM(c_s, s2, c_counterclock)) | (~node158(c_s, s1, s2))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 11.88/8.14 tff(6286,plain,
% 11.88/8.14 (~m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6285, 5151, 5238, 5224])).
% 11.88/8.14 tff(6287,plain,
% 11.88/8.14 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6288,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6289,plain,
% 11.88/8.14 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s2)) | m_state_v_RRM(c_s, s2, c_counterclock)),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6288, 6287])).
% 11.88/8.14 tff(6290,plain,
% 11.88/8.14 (~node37(c_s, s2)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6289, 2461, 6286])).
% 11.88/8.14 tff(6291,plain,
% 11.88/8.14 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)))),
% 11.88/8.14 inference(bind,[status(th)],[])).
% 11.88/8.14 tff(6292,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(quant_intro,[status(thm)],[6291])).
% 11.88/8.14 tff(6293,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6294,plain,
% 11.88/8.14 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))), (((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))))),
% 11.88/8.14 inference(bind,[status(th)],[])).
% 11.88/8.14 tff(6295,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(quant_intro,[status(thm)],[6294])).
% 11.88/8.14 tff(6296,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node48(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_93')).
% 11.88/8.14 tff(6297,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 11.88/8.14 tff(6298,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6297, 6293])).
% 11.88/8.14 tff(6299,plain,(
% 11.88/8.14 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(skolemize,[status(sab)],[6298])).
% 11.88/8.14 tff(6300,plain,
% 11.88/8.14 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6299, 6292])).
% 11.88/8.14 tff(6301,plain,
% 11.88/8.14 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))),
% 11.88/8.14 inference(rewrite,[status(thm)],[])).
% 11.88/8.14 tff(6302,plain,
% 11.88/8.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2))),
% 11.88/8.14 inference(quant_inst,[status(thm)],[])).
% 11.88/8.14 tff(6303,plain,
% 11.88/8.14 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s1, s2)),
% 11.88/8.14 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 11.88/8.14 tff(6304,plain,
% 11.88/8.14 (node48(c_s, s1, s2)),
% 11.88/8.14 inference(unit_resolution,[status(thm)],[6303, 62, 6300, 271])).
% 11.88/8.14 tff(6305,plain,
% 11.88/8.14 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))))),
% 11.88/8.14 inference(bind,[status(th)],[])).
% 11.88/8.14 tff(6306,plain,
% 11.88/8.14 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.14 inference(quant_intro,[status(thm)],[6305])).
% 11.89/8.14 tff(6307,plain,
% 11.89/8.14 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.14 inference(rewrite,[status(thm)],[])).
% 11.89/8.14 tff(6308,plain,
% 11.89/8.14 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) | (~node48(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle))) | (~node48(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))))),
% 11.89/8.14 inference(bind,[status(th)],[])).
% 11.89/8.14 tff(6309,plain,
% 11.89/8.14 (![Y: $i, X: $i, J0: $i] : ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.14 inference(quant_intro,[status(thm)],[6308])).
% 11.89/8.14 tff(6310,axiom,(![Y: $i, X: $i, J0: $i] : ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_idle))) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable)) | (~node48(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_88')).
% 11.89/8.14 tff(6311,plain,
% 11.89/8.14 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.14 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 11.89/8.14 tff(6312,plain,
% 11.89/8.14 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.14 inference(modus_ponens,[status(thm)],[6311, 6307])).
% 11.89/8.14 tff(6313,plain,(
% 11.89/8.14 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6312])).
% 11.89/8.15 tff(6314,plain,
% 11.89/8.15 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6313, 6306])).
% 11.89/8.15 tff(6315,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6316,plain,
% 11.89/8.15 (((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node48(c_s, s1, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle))) <=> ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6317,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node48(c_s, s1, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2))))),
% 11.89/8.15 inference(monotonicity,[status(thm)],[6316])).
% 11.89/8.15 tff(6318,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node48(c_s, s1, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2)))),
% 11.89/8.15 inference(transitivity,[status(thm)],[6317, 6315])).
% 11.89/8.15 tff(6319,plain,
% 11.89/8.15 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s1, c_arm1totable)) | (~node48(c_s, s1, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6320,plain,
% 11.89/8.15 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s1, c_arm1totable)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle)) | (~node48(c_s, s1, s2))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 11.89/8.15 tff(6321,plain,
% 11.89/8.15 (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s1, c_idle))),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6320, 6314, 2673, 6304])).
% 11.89/8.15 tff(6322,plain,
% 11.89/8.15 (m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6321, 3502])).
% 11.89/8.15 tff(6323,plain,
% 11.89/8.15 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6324,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6323])).
% 11.89/8.15 tff(6325,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6326,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_61')).
% 11.89/8.15 tff(6327,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 11.89/8.15 tff(6328,plain,(
% 11.89/8.15 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6327])).
% 11.89/8.15 tff(6329,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6328, 6324])).
% 11.89/8.15 tff(6330,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6331,plain,
% 11.89/8.15 (((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6332,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress))))),
% 11.89/8.15 inference(monotonicity,[status(thm)],[6331])).
% 11.89/8.15 tff(6333,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)))),
% 11.89/8.15 inference(transitivity,[status(thm)],[6332, 6330])).
% 11.89/8.15 tff(6334,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6335,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 11.89/8.15 tff(6336,plain,
% 11.89/8.15 (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6335, 6329, 6322])).
% 11.89/8.15 tff(6337,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : refl(((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6338,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6337])).
% 11.89/8.15 tff(6339,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6340,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X))) <=> ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6341,plain,
% 11.89/8.15 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6340])).
% 11.89/8.15 tff(6342,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatpress) | (~node38(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_63')).
% 11.89/8.15 tff(6343,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6342, 6341])).
% 11.89/8.15 tff(6344,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6343, 6339])).
% 11.89/8.15 tff(6345,plain,(
% 11.89/8.15 ![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6344])).
% 11.89/8.15 tff(6346,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6345, 6338])).
% 11.89/8.15 tff(6347,plain,
% 11.89/8.15 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6348,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6349,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatpress)),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 11.89/8.15 tff(6350,plain,
% 11.89/8.15 (~node38(c_s, s2)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6349, 6346, 6336])).
% 11.89/8.15 tff(6351,plain,
% 11.89/8.15 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6352,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6351])).
% 11.89/8.15 tff(6353,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6354,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_63')).
% 11.89/8.15 tff(6355,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 11.89/8.15 tff(6356,plain,(
% 11.89/8.15 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6355])).
% 11.89/8.15 tff(6357,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6356, 6352])).
% 11.89/8.15 tff(6358,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6359,plain,
% 11.89/8.15 (((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6360,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt))))),
% 11.89/8.15 inference(monotonicity,[status(thm)],[6359])).
% 11.89/8.15 tff(6361,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)))),
% 11.89/8.15 inference(transitivity,[status(thm)],[6360, 6358])).
% 11.89/8.15 tff(6362,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6363,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 11.89/8.15 tff(6364,plain,
% 11.89/8.15 (~m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6363, 6357, 6322])).
% 11.89/8.15 tff(6365,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : refl(((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6366,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6365])).
% 11.89/8.15 tff(6367,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6368,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X))) <=> ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6369,plain,
% 11.89/8.15 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6368])).
% 11.89/8.15 tff(6370,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm2stoppedatbelt) | (~node39(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_66')).
% 11.89/8.15 tff(6371,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 11.89/8.15 tff(6372,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6371, 6367])).
% 11.89/8.15 tff(6373,plain,(
% 11.89/8.15 ![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6372])).
% 11.89/8.15 tff(6374,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6373, 6366])).
% 11.89/8.15 tff(6375,plain,
% 11.89/8.15 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6376,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6377,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm2stoppedatbelt)),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 11.89/8.15 tff(6378,plain,
% 11.89/8.15 (~node39(c_s, s2)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6377, 6374, 6364])).
% 11.89/8.15 tff(6379,plain,
% 11.89/8.15 (^[I0: $i, X: $i] : refl(((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6380,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6379])).
% 11.89/8.15 tff(6381,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6382,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_64')).
% 11.89/8.15 tff(6383,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6382, 6381])).
% 11.89/8.15 tff(6384,plain,(
% 11.89/8.15 ![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6383])).
% 11.89/8.15 tff(6385,plain,
% 11.89/8.15 (![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6384, 6380])).
% 11.89/8.15 tff(6386,plain,
% 11.89/8.15 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6387,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable)))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6388,plain,
% 11.89/8.15 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s2, c_arm1stoppedattable))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 11.89/8.15 tff(6389,plain,
% 11.89/8.15 (~m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6388, 6385, 6322])).
% 11.89/8.15 tff(6390,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : refl(((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6391,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6390])).
% 11.89/8.15 tff(6392,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6393,plain,
% 11.89/8.15 (^[X: $i, J0: $i] : rewrite((m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X))) <=> ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress)))),
% 11.89/8.15 inference(bind,[status(th)],[])).
% 11.89/8.15 tff(6394,plain,
% 11.89/8.15 (![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(quant_intro,[status(thm)],[6393])).
% 11.89/8.15 tff(6395,axiom,(![X: $i, J0: $i] : (m_state_v_angle_status(J0, X, c_arm1stoppedatpress) | (~node40(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_69')).
% 11.89/8.15 tff(6396,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 11.89/8.15 tff(6397,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6396, 6392])).
% 11.89/8.15 tff(6398,plain,(
% 11.89/8.15 ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(skolemize,[status(sab)],[6397])).
% 11.89/8.15 tff(6399,plain,
% 11.89/8.15 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6398, 6391])).
% 11.89/8.15 tff(6400,plain,
% 11.89/8.15 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6401,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6402,plain,
% 11.89/8.15 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s2)) | m_state_v_angle_status(c_s, s2, c_arm1stoppedatpress)),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6401, 6400])).
% 11.89/8.15 tff(6403,plain,
% 11.89/8.15 (~node40(c_s, s2)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6402, 6399, 6389])).
% 11.89/8.15 tff(6404,plain,
% 11.89/8.15 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6405,plain,
% 11.89/8.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6406,plain,
% 11.89/8.15 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s2, s3)),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 11.89/8.15 tff(6407,plain,
% 11.89/8.15 (node42(c_s, s2, s3)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6406, 62, 2427, 480])).
% 11.89/8.15 tff(6408,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6409,plain,
% 11.89/8.15 ((node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3))) <=> (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6410,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3)))),
% 11.89/8.15 inference(monotonicity,[status(thm)],[6409])).
% 11.89/8.15 tff(6411,plain,
% 11.89/8.15 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3))),
% 11.89/8.15 inference(transitivity,[status(thm)],[6410, 6408])).
% 11.89/8.15 tff(6412,plain,
% 11.89/8.15 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s2) | node38(c_s, s2) | node39(c_s, s2) | node40(c_s, s2) | node41(c_s, s2, s3) | (~node42(c_s, s2, s3)))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.15 tff(6413,plain,
% 11.89/8.15 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | (~node42(c_s, s2, s3)) | node41(c_s, s2, s3)),
% 11.89/8.15 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 11.89/8.15 tff(6414,plain,
% 11.89/8.15 (node40(c_s, s2) | node38(c_s, s2) | node37(c_s, s2) | node39(c_s, s2) | node41(c_s, s2, s3)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6413, 2550, 6407])).
% 11.89/8.15 tff(6415,plain,
% 11.89/8.15 (node37(c_s, s2) | node41(c_s, s2, s3)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6414, 6403, 6378, 6350])).
% 11.89/8.15 tff(6416,plain,
% 11.89/8.15 (node41(c_s, s2, s3)),
% 11.89/8.15 inference(unit_resolution,[status(thm)],[6415, 6290])).
% 11.89/8.15 tff(6417,plain,
% 11.89/8.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6418,plain,
% 11.89/8.15 (((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable)) <=> (m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3)))),
% 11.89/8.15 inference(rewrite,[status(thm)],[])).
% 11.89/8.15 tff(6419,plain,
% 11.89/8.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3))))),
% 11.89/8.15 inference(monotonicity,[status(thm)],[6418])).
% 11.89/8.15 tff(6420,plain,
% 11.89/8.15 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3)))),
% 11.89/8.15 inference(transitivity,[status(thm)],[6419, 6417])).
% 11.89/8.15 tff(6421,plain,
% 11.89/8.15 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s2, s3)) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | m_state_v_angle(c_s, s3, c_arm1totable))),
% 11.89/8.15 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6422,plain,
% 11.89/8.16 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s3, c_arm1totable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node41(c_s, s2, s3))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 11.89/8.16 tff(6423,plain,
% 11.89/8.16 (m_state_v_angle(c_s, s3, c_arm1totable)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6422, 2666, 5273, 6416])).
% 11.89/8.16 tff(6424,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6425,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6426,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s3, s4)),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 11.89/8.16 tff(6427,plain,
% 11.89/8.16 (node32(c_s, s3, s4)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6426, 62, 2598, 911])).
% 11.89/8.16 tff(6428,plain,
% 11.89/8.16 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6429,plain,
% 11.89/8.16 (((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend))) <=> ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6430,plain,
% 11.89/8.16 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4))))),
% 11.89/8.16 inference(monotonicity,[status(thm)],[6429])).
% 11.89/8.16 tff(6431,plain,
% 11.89/8.16 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4)))),
% 11.89/8.16 inference(transitivity,[status(thm)],[6430, 6428])).
% 11.89/8.16 tff(6432,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~node32(c_s, s3, s4)) | m_state_v_a1ext(c_s, s4, c_ot) | (~m_state_v_A1M(c_s, s3, c_extend)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6433,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot) | (~node32(c_s, s3, s4))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 11.89/8.16 tff(6434,plain,
% 11.89/8.16 ((~m_state_v_angle(c_s, s3, c_arm1totable)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_a1ext(c_s, s4, c_ot)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6433, 2683, 6427])).
% 11.89/8.16 tff(6435,plain,
% 11.89/8.16 (m_state_v_a1ext(c_s, s4, c_ot)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6434, 6423, 5623])).
% 11.89/8.16 tff(6436,plain,
% 11.89/8.16 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s4, c_ot)) | (~m_state_v_a1ext(c_s, s4, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~m_state_v_a1ext(c_s, s4, c_retracted)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6437,plain,
% 11.89/8.16 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s4, c_ot)) | (~m_state_v_a1ext(c_s, s4, c_retracted)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6438,plain,
% 11.89/8.16 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 11.89/8.16 tff(6439,plain,
% 11.89/8.16 (~m_state_v_a1ext(c_s, s4, c_retracted)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6438, 2652, 6435])).
% 11.89/8.16 tff(6440,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6441,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6442,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6441, 6440])).
% 11.89/8.16 tff(6443,plain,
% 11.89/8.16 (~node1(c_s, s4)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6442, 2170, 6439])).
% 11.89/8.16 tff(6444,plain,
% 11.89/8.16 (^[X: $i, J0: $i] : refl((m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> (m_state_v_deliv(J0, X) | (~node18(J0, X))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6445,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6444])).
% 11.89/8.16 tff(6446,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6447,axiom,(![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_5')).
% 11.89/8.16 tff(6448,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 11.89/8.16 tff(6449,plain,(
% 11.89/8.16 ![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.89/8.16 inference(skolemize,[status(sab)],[6448])).
% 11.89/8.16 tff(6450,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6449, 6445])).
% 11.89/8.16 tff(6451,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s3) | (~node18(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s3) | (~node18(c_s, s3)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6452,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s3) | (~node18(c_s, s3)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6453,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s3) | (~node18(c_s, s3))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 11.89/8.16 tff(6454,plain,
% 11.89/8.16 (~node18(c_s, s3)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6453, 6450, 5680])).
% 11.89/8.16 tff(6455,plain,
% 11.89/8.16 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6456,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6455])).
% 11.89/8.16 tff(6457,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6458,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_1')).
% 11.89/8.16 tff(6459,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 11.89/8.16 tff(6460,plain,(
% 11.89/8.16 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.89/8.16 inference(skolemize,[status(sab)],[6459])).
% 11.89/8.16 tff(6461,plain,
% 11.89/8.16 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6460, 6456])).
% 11.89/8.16 tff(6462,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6463,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6464,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s3, c_on) | (~node17(c_s, s3))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 11.89/8.16 tff(6465,plain,
% 11.89/8.16 (~node17(c_s, s3)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6464, 6461, 1624])).
% 11.89/8.16 tff(6466,plain,
% 11.89/8.16 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6467,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6466])).
% 11.89/8.16 tff(6468,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6469,plain,
% 11.89/8.16 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6470,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6469])).
% 11.89/8.16 tff(6471,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node20(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_11')).
% 11.89/8.16 tff(6472,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 11.89/8.16 tff(6473,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6472, 6468])).
% 11.89/8.16 tff(6474,plain,(
% 11.89/8.16 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(skolemize,[status(sab)],[6473])).
% 11.89/8.16 tff(6475,plain,
% 11.89/8.16 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6474, 6467])).
% 11.89/8.16 tff(6476,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6477,plain,
% 11.89/8.16 (((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6478,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4)))),
% 11.89/8.16 inference(monotonicity,[status(thm)],[6477])).
% 11.89/8.16 tff(6479,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4))),
% 11.89/8.16 inference(transitivity,[status(thm)],[6478, 6476])).
% 11.89/8.16 tff(6480,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s3, s4)) | node20(c_s, s3, s4) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6481,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s3, s4)),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 11.89/8.16 tff(6482,plain,
% 11.89/8.16 (node20(c_s, s3, s4)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6481, 62, 6475, 911])).
% 11.89/8.16 tff(6483,plain,
% 11.89/8.16 (^[Y: $i, X: $i, J0: $i] : refl((node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6484,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6483])).
% 11.89/8.16 tff(6485,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6486,plain,
% 11.89/8.16 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y))), ((((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> ((node17(J0, X) | node18(J0, X) | node19(J0, X, Y)) | (~node20(J0, X, Y))))), rewrite(((node17(J0, X) | node18(J0, X) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))), ((((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))))),
% 11.89/8.16 inference(bind,[status(th)],[])).
% 11.89/8.16 tff(6487,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(quant_intro,[status(thm)],[6486])).
% 11.89/8.16 tff(6488,axiom,(![Y: $i, X: $i, J0: $i] : (((node17(J0, X) | node18(J0, X)) | node19(J0, X, Y)) | (~node20(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_10')).
% 11.89/8.16 tff(6489,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 11.89/8.16 tff(6490,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6489, 6485])).
% 11.89/8.16 tff(6491,plain,(
% 11.89/8.16 ![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(skolemize,[status(sab)],[6490])).
% 11.89/8.16 tff(6492,plain,
% 11.89/8.16 (![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6491, 6484])).
% 11.89/8.16 tff(6493,plain,
% 11.89/8.16 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6494,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6495,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4) | (~node20(c_s, s3, s4))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6494, 6493])).
% 11.89/8.16 tff(6496,plain,
% 11.89/8.16 (node17(c_s, s3) | node18(c_s, s3) | node19(c_s, s3, s4)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6495, 6492, 6482])).
% 11.89/8.16 tff(6497,plain,
% 11.89/8.16 (node19(c_s, s3, s4)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6496, 6465, 6454])).
% 11.89/8.16 tff(6498,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s2) | (~node18(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s2) | (~node18(c_s, s2)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6499,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s2) | (~node18(c_s, s2)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6500,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s2) | (~node18(c_s, s2))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 11.89/8.16 tff(6501,plain,
% 11.89/8.16 (~node18(c_s, s2)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6500, 6450, 2310])).
% 11.89/8.16 tff(6502,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6503,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6504,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s2, c_on) | (~node17(c_s, s2))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 11.89/8.16 tff(6505,plain,
% 11.89/8.16 (~node17(c_s, s2)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6504, 6461, 1474])).
% 11.89/8.16 tff(6506,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6507,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6508,plain,
% 11.89/8.16 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s2, s3)) | node20(c_s, s2, s3) | (~m_Sensor_v_s(c_SEN, c_s))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 11.89/8.16 tff(6509,plain,
% 11.89/8.16 (node20(c_s, s2, s3)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6508, 62, 6475, 480])).
% 11.89/8.16 tff(6510,plain,
% 11.89/8.16 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6511,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6512,plain,
% 11.89/8.16 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3) | (~node20(c_s, s2, s3))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 11.89/8.16 tff(6513,plain,
% 11.89/8.16 (node17(c_s, s2) | node18(c_s, s2) | node19(c_s, s2, s3)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6512, 6492, 6509])).
% 11.89/8.16 tff(6514,plain,
% 11.89/8.16 (node19(c_s, s2, s3)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6513, 6505, 6501])).
% 11.89/8.16 tff(6515,plain,
% 11.89/8.16 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6516,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1)))),
% 11.89/8.16 inference(quant_inst,[status(thm)],[])).
% 11.89/8.16 tff(6517,plain,
% 11.89/8.16 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s1, c_on) | (~node17(c_s, s1))),
% 11.89/8.16 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 11.89/8.16 tff(6518,plain,
% 11.89/8.16 (~node17(c_s, s1)),
% 11.89/8.16 inference(unit_resolution,[status(thm)],[6517, 6461, 1339])).
% 11.89/8.16 tff(6519,plain,
% 11.89/8.16 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.16 tff(6520,plain,
% 11.89/8.16 (((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.89/8.16 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6521,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2)))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6520])).
% 11.89/8.17 tff(6522,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6521, 6519])).
% 11.89/8.17 tff(6523,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s1, s2)) | node20(c_s, s1, s2) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6524,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s1, s2)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 11.89/8.17 tff(6525,plain,
% 11.89/8.17 (node20(c_s, s1, s2)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6524, 62, 6475, 271])).
% 11.89/8.17 tff(6526,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6527,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | (m_state_v_deliv(c_s, s1) | (~node18(c_s, s1)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6528,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_deliv(J0, X) | (~node18(J0, X)))) | m_state_v_deliv(c_s, s1) | (~node18(c_s, s1))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6527, 6526])).
% 11.89/8.17 tff(6529,plain,
% 11.89/8.17 (~node18(c_s, s1)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6528, 6450, 2277])).
% 11.89/8.17 tff(6530,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6531,plain,
% 11.89/8.17 ((node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2))) <=> (node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6532,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2))))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6531])).
% 11.89/8.17 tff(6533,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6532, 6530])).
% 11.89/8.17 tff(6534,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s1) | node18(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6535,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s1) | node17(c_s, s1) | node19(c_s, s1, s2) | (~node20(c_s, s1, s2))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 11.89/8.17 tff(6536,plain,
% 11.89/8.17 (node17(c_s, s1) | node19(c_s, s1, s2)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6535, 6492, 6529, 6525])).
% 11.89/8.17 tff(6537,plain,
% 11.89/8.17 (node19(c_s, s1, s2)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6536, 6518])).
% 11.89/8.17 tff(6538,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6539,plain,
% 11.89/8.17 (((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6540,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1)))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6539])).
% 11.89/8.17 tff(6541,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6540, 6538])).
% 11.89/8.17 tff(6542,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s0, s1)) | node20(c_s, s0, s1) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6543,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s0, s1)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 11.89/8.17 tff(6544,plain,
% 11.89/8.17 (node20(c_s, s0, s1)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6543, 62, 6475, 49])).
% 11.89/8.17 tff(6545,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6546,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6547,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node17(c_s, s0))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 11.89/8.17 tff(6548,plain,
% 11.89/8.17 (~node17(c_s, s0)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6547, 6461, 1274])).
% 11.89/8.17 tff(6549,plain,
% 11.89/8.17 (^[X: $i, J0: $i] : refl((m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))))),
% 11.89/8.17 inference(bind,[status(th)],[])).
% 11.89/8.17 tff(6550,plain,
% 11.89/8.17 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.89/8.17 inference(quant_intro,[status(thm)],[6549])).
% 11.89/8.17 tff(6551,plain,
% 11.89/8.17 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6552,axiom,(![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_4')).
% 11.89/8.17 tff(6553,plain,
% 11.89/8.17 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 11.89/8.17 tff(6554,plain,(
% 11.89/8.17 ![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.89/8.17 inference(skolemize,[status(sab)],[6553])).
% 11.89/8.17 tff(6555,plain,
% 11.89/8.17 (![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6554, 6550])).
% 11.89/8.17 tff(6556,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6557,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6558,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s0, c_on) | (~node18(c_s, s0))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 11.89/8.17 tff(6559,plain,
% 11.89/8.17 (~node18(c_s, s0)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6558, 6555, 1274])).
% 11.89/8.17 tff(6560,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6561,plain,
% 11.89/8.17 ((node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1))) <=> (node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6562,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1)))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6561])).
% 11.89/8.17 tff(6563,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6562, 6560])).
% 11.89/8.17 tff(6564,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s0) | node18(c_s, s0) | node19(c_s, s0, s1) | (~node20(c_s, s0, s1)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6565,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s0) | node17(c_s, s0) | (~node20(c_s, s0, s1)) | node19(c_s, s0, s1)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 11.89/8.17 tff(6566,plain,
% 11.89/8.17 (node19(c_s, s0, s1)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6565, 6492, 6559, 6548, 6544])).
% 11.89/8.17 tff(6567,plain,
% 11.89/8.17 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)))),
% 11.89/8.17 inference(bind,[status(th)],[])).
% 11.89/8.17 tff(6568,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(quant_intro,[status(thm)],[6567])).
% 11.89/8.17 tff(6569,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6570,plain,
% 11.89/8.17 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) <=> ((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y))), (((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> (((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y)) | (~node19(J0, X, Y))))), rewrite((((~m_state_v_pfl(J0, X)) | m_state_v_pfl(J0, Y)) | (~node19(J0, X, Y))) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))), (((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))))),
% 11.89/8.17 inference(bind,[status(th)],[])).
% 11.89/8.17 tff(6571,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(quant_intro,[status(thm)],[6570])).
% 11.89/8.17 tff(6572,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_pfl(J0, Y) | (~m_state_v_pfl(J0, X))) | (~node19(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_6')).
% 11.89/8.17 tff(6573,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 11.89/8.17 tff(6574,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6573, 6569])).
% 11.89/8.17 tff(6575,plain,(
% 11.89/8.17 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(skolemize,[status(sab)],[6574])).
% 11.89/8.17 tff(6576,plain,
% 11.89/8.17 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6575, 6568])).
% 11.89/8.17 tff(6577,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6578,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6579,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s0)) | (~node19(c_s, s0, s1)) | m_state_v_pfl(c_s, s1)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 11.89/8.17 tff(6580,plain,
% 11.89/8.17 (m_state_v_pfl(c_s, s1)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6579, 6576, 1410, 6566])).
% 11.89/8.17 tff(6581,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6582,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6583,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s1)) | (~node19(c_s, s1, s2)) | m_state_v_pfl(c_s, s2)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 11.89/8.17 tff(6584,plain,
% 11.89/8.17 (m_state_v_pfl(c_s, s2)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6583, 6576, 6580, 6537])).
% 11.89/8.17 tff(6585,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6586,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6587,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s2)) | (~node19(c_s, s2, s3)) | m_state_v_pfl(c_s, s3)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 11.89/8.17 tff(6588,plain,
% 11.89/8.17 (m_state_v_pfl(c_s, s3)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6587, 6576, 6584, 6514])).
% 11.89/8.17 tff(6589,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6590,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6591,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s3)) | (~node19(c_s, s3, s4)) | m_state_v_pfl(c_s, s4)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 11.89/8.17 tff(6592,plain,
% 11.89/8.17 (m_state_v_pfl(c_s, s4)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6591, 6576, 6588, 6497])).
% 11.89/8.17 tff(6593,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6594,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6595,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s4)) | (~node2(c_s, s4))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 11.89/8.17 tff(6596,plain,
% 11.89/8.17 (~node2(c_s, s4)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6595, 1417, 6592])).
% 11.89/8.17 tff(6597,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6598,plain,
% 11.89/8.17 ((node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5))) <=> ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6599,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5)))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6598])).
% 11.89/8.17 tff(6600,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6599, 6597])).
% 11.89/8.17 tff(6601,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s4, s5) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s4, s5)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6602,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s4, s5)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s4, s5)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6601, 6600])).
% 11.89/8.17 tff(6603,plain,
% 11.89/8.17 (node4(c_s, s4, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6602, 1360, 1357, 1043])).
% 11.89/8.17 tff(6604,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6605,plain,
% 11.89/8.17 ((node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5))) <=> (node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6606,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5))))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6605])).
% 11.89/8.17 tff(6607,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6606, 6604])).
% 11.89/8.17 tff(6608,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s4) | node2(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6609,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5) | (~node4(c_s, s4, s5))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 11.89/8.17 tff(6610,plain,
% 11.89/8.17 (node2(c_s, s4) | node1(c_s, s4) | node3(c_s, s4, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6609, 1431, 6603])).
% 11.89/8.17 tff(6611,plain,
% 11.89/8.17 (node1(c_s, s4) | node3(c_s, s4, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6610, 6596])).
% 11.89/8.17 tff(6612,plain,
% 11.89/8.17 (node3(c_s, s4, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6611, 6443])).
% 11.89/8.17 tff(6613,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6614,plain,
% 11.89/8.17 (((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5)) <=> ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6615,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5))))),
% 11.89/8.17 inference(monotonicity,[status(thm)],[6614])).
% 11.89/8.17 tff(6616,plain,
% 11.89/8.17 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5)))),
% 11.89/8.17 inference(transitivity,[status(thm)],[6615, 6613])).
% 11.89/8.17 tff(6617,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s4, s5)) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6618,plain,
% 11.89/8.17 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s4)) | m_state_v_tl(c_s, s5) | (~node3(c_s, s4, s5))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 11.89/8.17 tff(6619,plain,
% 11.89/8.17 (m_state_v_tl(c_s, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6618, 1448, 5707, 6612])).
% 11.89/8.17 tff(6620,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6621,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6622,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node172(c_s, s5))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 11.89/8.17 tff(6623,plain,
% 11.89/8.17 (~node172(c_s, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6622, 5994, 6619])).
% 11.89/8.17 tff(6624,plain,
% 11.89/8.17 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node170(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node170(c_s, s5)))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6625,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node170(c_s, s5)))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6626,plain,
% 11.89/8.17 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node170(c_s, s5))),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 11.89/8.17 tff(6627,plain,
% 11.89/8.17 (~node170(c_s, s5)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6626, 6184, 4716])).
% 11.89/8.17 tff(6628,plain,
% 11.89/8.17 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))),
% 11.89/8.17 inference(rewrite,[status(thm)],[])).
% 11.89/8.17 tff(6629,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6))),
% 11.89/8.17 inference(quant_inst,[status(thm)],[])).
% 11.89/8.17 tff(6630,plain,
% 11.89/8.17 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s5, s6)),
% 11.89/8.17 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 11.89/8.17 tff(6631,plain,
% 11.89/8.17 (node175(c_s, s5, s6)),
% 11.89/8.17 inference(unit_resolution,[status(thm)],[6630, 1505, 1502, 14])).
% 11.89/8.18 tff(6632,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6633,plain,
% 11.89/8.18 ((node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))) <=> (node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6634,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6633])).
% 11.89/8.18 tff(6635,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6634, 6632])).
% 11.89/8.18 tff(6636,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s5) | node172(c_s, s5) | node171(c_s, s5) | node173(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6)))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6637,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6) | (~node175(c_s, s5, s6))),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 11.89/8.18 tff(6638,plain,
% 11.89/8.18 (node172(c_s, s5) | node173(c_s, s5) | node170(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6637, 6008, 6631])).
% 11.89/8.18 tff(6639,plain,
% 11.89/8.18 (node173(c_s, s5) | node171(c_s, s5) | node174(c_s, s5, s6)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6638, 6627, 6623])).
% 11.89/8.18 tff(6640,plain,
% 11.89/8.18 (node174(c_s, s5, s6)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6639, 6279, 6239])).
% 11.89/8.18 tff(6641,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6642,plain,
% 11.89/8.18 (((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up))) <=> (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6643,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6))))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6642])).
% 11.89/8.18 tff(6644,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6643, 6641])).
% 11.89/8.18 tff(6645,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6646,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_up) | (~m_state_v_TEM(c_s, s6, c_up)) | (~node174(c_s, s5, s6))),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 11.89/8.18 tff(6647,plain,
% 11.89/8.18 (~m_state_v_TEM(c_s, s6, c_up)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6646, 6115, 6275, 6640])).
% 11.89/8.18 tff(6648,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6649,plain,
% 11.89/8.18 (((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down))) <=> ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6650,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5))))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6649])).
% 11.89/8.18 tff(6651,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5)))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6650, 6648])).
% 11.89/8.18 tff(6652,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_down) | (~m_state_v_TEM(c_s, s5, c_down)))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6653,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (~m_state_v_TEM(c_s, s5, c_down)) | m_state_v_TEM(c_s, s4, c_down) | (~node174(c_s, s4, s5))),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 11.89/8.18 tff(6654,plain,
% 11.89/8.18 (~m_state_v_TEM(c_s, s5, c_down)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6653, 6115, 6219, 6268])).
% 11.89/8.18 tff(6655,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6656,plain,
% 11.89/8.18 (((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down))) <=> (m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6657,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6))))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6656])).
% 11.89/8.18 tff(6658,plain,
% 11.89/8.18 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6)))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6657, 6655])).
% 11.89/8.18 tff(6659,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6660,plain,
% 11.89/8.18 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s5, c_down) | (~m_state_v_TEM(c_s, s6, c_down)) | (~node174(c_s, s5, s6))),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6659, 6658])).
% 11.89/8.18 tff(6661,plain,
% 11.89/8.18 (~m_state_v_TEM(c_s, s6, c_down)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6660, 6115, 6654, 6640])).
% 11.89/8.18 tff(6662,plain,
% 11.89/8.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6663,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6664,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s6, s7)),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 11.89/8.18 tff(6665,plain,
% 11.89/8.18 (node22(c_s, s6, s7)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6664, 62, 5593, 2095])).
% 11.89/8.18 tff(6666,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6667,plain,
% 11.89/8.18 ((node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down)) <=> (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6668,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7))))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6667])).
% 11.89/8.18 tff(6669,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7)))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6668, 6666])).
% 11.89/8.18 tff(6670,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s6, s7) | (~node22(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6671,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7) | (~node22(c_s, s6, s7))),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 11.89/8.18 tff(6672,plain,
% 11.89/8.18 (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node21(c_s, s6, s7)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6671, 5925, 6665])).
% 11.89/8.18 tff(6673,plain,
% 11.89/8.18 (node21(c_s, s6, s7)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6672, 6661, 6647])).
% 11.89/8.18 tff(6674,plain,
% 11.89/8.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6675,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6676,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s4, s5)),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 11.89/8.18 tff(6677,plain,
% 11.89/8.18 (node22(c_s, s4, s5)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6676, 62, 5593, 1043])).
% 11.89/8.18 tff(6678,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6679,plain,
% 11.89/8.18 ((node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down)) <=> (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6680,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5)))),
% 11.89/8.18 inference(monotonicity,[status(thm)],[6679])).
% 11.89/8.18 tff(6681,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5))),
% 11.89/8.18 inference(transitivity,[status(thm)],[6680, 6678])).
% 11.89/8.18 tff(6682,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s4, s5) | (~node22(c_s, s4, s5)) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6683,plain,
% 11.89/8.18 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | (~node22(c_s, s4, s5)) | node21(c_s, s4, s5)),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 11.89/8.18 tff(6684,plain,
% 11.89/8.18 (m_state_v_TEM(c_s, s4, c_up) | m_state_v_TEM(c_s, s4, c_down) | node21(c_s, s4, s5)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6683, 5925, 6677])).
% 11.89/8.18 tff(6685,plain,
% 11.89/8.18 (node21(c_s, s4, s5)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6684, 6219, 6212])).
% 11.89/8.18 tff(6686,plain,
% 11.89/8.18 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6687,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4))),
% 11.89/8.18 inference(quant_inst,[status(thm)],[])).
% 11.89/8.18 tff(6688,plain,
% 11.89/8.18 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s3, s4)),
% 11.89/8.18 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 11.89/8.18 tff(6689,plain,
% 11.89/8.18 (node22(c_s, s3, s4)),
% 11.89/8.18 inference(unit_resolution,[status(thm)],[6688, 62, 5593, 911])).
% 11.89/8.18 tff(6690,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6691,plain,
% 11.89/8.18 ((node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down)) <=> (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4)))),
% 11.89/8.18 inference(rewrite,[status(thm)],[])).
% 11.89/8.18 tff(6692,plain,
% 11.89/8.18 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6691])).
% 11.89/8.19 tff(6693,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6692, 6690])).
% 11.89/8.19 tff(6694,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s3, s4) | (~node22(c_s, s3, s4)) | m_state_v_TEM(c_s, s3, c_up) | m_state_v_TEM(c_s, s3, c_down))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6695,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4) | (~node22(c_s, s3, s4))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 11.89/8.19 tff(6696,plain,
% 11.89/8.19 (m_state_v_TEM(c_s, s3, c_down) | m_state_v_TEM(c_s, s3, c_up) | node21(c_s, s3, s4)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6695, 5925, 6689])).
% 11.89/8.19 tff(6697,plain,
% 11.89/8.19 (node21(c_s, s3, s4)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6696, 6083, 6079])).
% 11.89/8.19 tff(6698,plain,
% 11.89/8.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6699,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6700,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s2, s3)),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6699, 6698])).
% 11.89/8.19 tff(6701,plain,
% 11.89/8.19 (node22(c_s, s2, s3)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6700, 62, 5593, 480])).
% 11.89/8.19 tff(6702,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6703,plain,
% 11.89/8.19 ((m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up))) <=> (m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6704,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6703])).
% 11.89/8.19 tff(6705,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6704, 6702])).
% 11.89/8.19 tff(6706,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | (m_state_v_topPos(c_s, s3) | (~node22(c_s, s2, s3)) | (~m_state_v_TEM(c_s, s2, c_up)))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6707,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPos(J0, Y) | (~node22(J0, X, Y)) | (~m_state_v_TEM(J0, X, c_up)))) | m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up)) | (~node22(c_s, s2, s3))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6706, 6705])).
% 11.89/8.19 tff(6708,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s3) | (~m_state_v_TEM(c_s, s2, c_up))),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6707, 5607, 6701])).
% 11.89/8.19 tff(6709,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s3)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6708, 6037])).
% 11.89/8.19 tff(6710,plain,
% 11.89/8.19 (^[Y: $i, X: $i, J0: $i] : refl(((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)))),
% 11.89/8.19 inference(bind,[status(th)],[])).
% 11.89/8.19 tff(6711,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(quant_intro,[status(thm)],[6710])).
% 11.89/8.19 tff(6712,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6713,plain,
% 11.89/8.19 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))), (((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> (((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) | (~node21(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y)) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))), (((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))))),
% 11.89/8.19 inference(bind,[status(th)],[])).
% 11.89/8.19 tff(6714,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(quant_intro,[status(thm)],[6713])).
% 11.89/8.19 tff(6715,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_topPos(J0, Y) | (~m_state_v_topPos(J0, X))) | (~node21(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_12')).
% 11.89/8.19 tff(6716,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 11.89/8.19 tff(6717,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6716, 6712])).
% 11.89/8.19 tff(6718,plain,(
% 11.89/8.19 ![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(skolemize,[status(sab)],[6717])).
% 11.89/8.19 tff(6719,plain,
% 11.89/8.19 (![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6718, 6711])).
% 11.89/8.19 tff(6720,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6721,plain,
% 11.89/8.19 (((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4)) <=> ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6722,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6721])).
% 11.89/8.19 tff(6723,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6722, 6720])).
% 11.89/8.19 tff(6724,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s3, s4)) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6725,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_topPos(c_s, s4) | (~node21(c_s, s3, s4))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 11.89/8.19 tff(6726,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s4)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6725, 6719, 6709, 6697])).
% 11.89/8.19 tff(6727,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6728,plain,
% 11.89/8.19 (((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5)) <=> ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6729,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6728])).
% 11.89/8.19 tff(6730,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6729, 6727])).
% 11.89/8.19 tff(6731,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s4, s5)) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6732,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_topPos(c_s, s5) | (~node21(c_s, s4, s5))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 11.89/8.19 tff(6733,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s5)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6732, 6719, 6726, 6685])).
% 11.89/8.19 tff(6734,plain,
% 11.89/8.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6735,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6736,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s5, s6)),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 11.89/8.19 tff(6737,plain,
% 11.89/8.19 (node22(c_s, s5, s6)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6736, 62, 5593, 14])).
% 11.89/8.19 tff(6738,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6739,plain,
% 11.89/8.19 ((node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down)) <=> (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6740,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6739])).
% 11.89/8.19 tff(6741,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6740, 6738])).
% 11.89/8.19 tff(6742,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s5, s6) | (~node22(c_s, s5, s6)) | m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6743,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6) | (~node22(c_s, s5, s6))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 11.89/8.19 tff(6744,plain,
% 11.89/8.19 (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node21(c_s, s5, s6)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6743, 5925, 6737])).
% 11.89/8.19 tff(6745,plain,
% 11.89/8.19 (node21(c_s, s5, s6)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6744, 6275, 6654])).
% 11.89/8.19 tff(6746,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6747,plain,
% 11.89/8.19 (((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6)) <=> (m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6748,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6747])).
% 11.89/8.19 tff(6749,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6748, 6746])).
% 11.89/8.19 tff(6750,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s5, s6)) | (~m_state_v_topPos(c_s, s5)) | m_state_v_topPos(c_s, s6))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6751,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s6) | (~m_state_v_topPos(c_s, s5)) | (~node21(c_s, s5, s6))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 11.89/8.19 tff(6752,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s6)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6751, 6719, 6745, 6733])).
% 11.89/8.19 tff(6753,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6754,plain,
% 11.89/8.19 (((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7)) <=> ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6755,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6754])).
% 11.89/8.19 tff(6756,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6755, 6753])).
% 11.89/8.19 tff(6757,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s6, s7)) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6758,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_topPos(c_s, s7) | (~node21(c_s, s6, s7))),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6757, 6756])).
% 11.89/8.19 tff(6759,plain,
% 11.89/8.19 (m_state_v_topPos(c_s, s7)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6758, 6719, 6752, 6673])).
% 11.89/8.19 tff(6760,plain,
% 11.89/8.19 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6761,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6762,plain,
% 11.89/8.19 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s5, s6)),
% 11.89/8.19 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 11.89/8.19 tff(6763,plain,
% 11.89/8.19 (node24(c_s, s5, s6)),
% 11.89/8.19 inference(unit_resolution,[status(thm)],[6762, 62, 1488, 14])).
% 11.89/8.19 tff(6764,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6765,plain,
% 11.89/8.19 ((m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6))) <=> (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.89/8.19 inference(rewrite,[status(thm)],[])).
% 11.89/8.19 tff(6766,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6))))),
% 11.89/8.19 inference(monotonicity,[status(thm)],[6765])).
% 11.89/8.19 tff(6767,plain,
% 11.89/8.19 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.89/8.19 inference(transitivity,[status(thm)],[6766, 6764])).
% 11.89/8.19 tff(6768,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s5, c_up) | m_state_v_TEM(c_s, s5, c_down) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6)))),
% 11.89/8.19 inference(quant_inst,[status(thm)],[])).
% 11.89/8.19 tff(6769,plain,
% 11.89/8.19 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6) | (~node24(c_s, s5, s6))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6768, 6767])).
% 11.89/8.20 tff(6770,plain,
% 11.89/8.20 (m_state_v_TEM(c_s, s5, c_down) | m_state_v_TEM(c_s, s5, c_up) | node23(c_s, s5, s6)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6769, 6097, 6763])).
% 11.89/8.20 tff(6771,plain,
% 11.89/8.20 (node23(c_s, s5, s6)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6770, 6275, 6654])).
% 11.89/8.20 tff(6772,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6773,plain,
% 11.89/8.20 ((m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6))) <=> (m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6774,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6))))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6773])).
% 11.89/8.20 tff(6775,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6)))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6774, 6772])).
% 11.89/8.20 tff(6776,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s5) | (~node23(c_s, s5, s6)) | (~m_state_v_botPos(c_s, s6)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6777,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s5) | (~m_state_v_botPos(c_s, s6)) | (~node23(c_s, s5, s6))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 11.89/8.20 tff(6778,plain,
% 11.89/8.20 (~m_state_v_botPos(c_s, s6)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6777, 6144, 6235, 6771])).
% 11.89/8.20 tff(6779,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6780,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s6) | (~node173(c_s, s6)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6781,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s6) | (~node173(c_s, s6))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6780, 6779])).
% 11.89/8.20 tff(6782,plain,
% 11.89/8.20 (~node173(c_s, s6)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6781, 6160, 6778])).
% 11.89/8.20 tff(6783,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6784,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6785,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s6, c_up) | (~node171(c_s, s6))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 11.89/8.20 tff(6786,plain,
% 11.89/8.20 (~node171(c_s, s6)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6785, 6173, 6647])).
% 11.89/8.20 tff(6787,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6788,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6789,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node17(c_s, s4))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6788, 6787])).
% 11.89/8.20 tff(6790,plain,
% 11.89/8.20 (~node17(c_s, s4)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6789, 6461, 3704])).
% 11.89/8.20 tff(6791,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6792,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6793,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s4, c_on) | (~node18(c_s, s4))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6792, 6791])).
% 11.89/8.20 tff(6794,plain,
% 11.89/8.20 (~node18(c_s, s4)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6793, 6555, 3704])).
% 11.89/8.20 tff(6795,plain,
% 11.89/8.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6796,plain,
% 11.89/8.20 (((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6797,plain,
% 11.89/8.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5)))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6796])).
% 11.89/8.20 tff(6798,plain,
% 11.89/8.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6797, 6795])).
% 11.89/8.20 tff(6799,plain,
% 11.89/8.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s4, s5)) | node20(c_s, s4, s5) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6800,plain,
% 11.89/8.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s4, s5)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 11.89/8.20 tff(6801,plain,
% 11.89/8.20 (node20(c_s, s4, s5)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6800, 62, 6475, 1043])).
% 11.89/8.20 tff(6802,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6803,plain,
% 11.89/8.20 ((node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5))) <=> (node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6804,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4)))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6803])).
% 11.89/8.20 tff(6805,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6804, 6802])).
% 11.89/8.20 tff(6806,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s4) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6807,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s4) | node19(c_s, s4, s5) | (~node20(c_s, s4, s5)) | node17(c_s, s4)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 11.89/8.20 tff(6808,plain,
% 11.89/8.20 (node18(c_s, s4) | node19(c_s, s4, s5) | node17(c_s, s4)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6807, 6492, 6801])).
% 11.89/8.20 tff(6809,plain,
% 11.89/8.20 (node19(c_s, s4, s5)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6808, 6794, 6790])).
% 11.89/8.20 tff(6810,assumption,(node19(c_s, s4, s5)), introduced(assumption)).
% 11.89/8.20 tff(6811,assumption,(~m_state_v_pfl(c_s, s5)), introduced(assumption)).
% 11.89/8.20 tff(6812,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6813,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6814,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s4)) | (~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 11.89/8.20 tff(6815,plain,
% 11.89/8.20 ($false),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6814, 6576, 6592, 6811, 6810])).
% 11.89/8.20 tff(6816,plain,((~node19(c_s, s4, s5)) | m_state_v_pfl(c_s, s5)), inference(lemma,lemma(discharge,[]))).
% 11.89/8.20 tff(6817,plain,
% 11.89/8.20 (m_state_v_pfl(c_s, s5)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6816, 6809])).
% 11.89/8.20 tff(6818,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6819,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6820,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s5)) | (~node2(c_s, s5))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 11.89/8.20 tff(6821,plain,
% 11.89/8.20 (~node2(c_s, s5)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6820, 1417, 6817])).
% 11.89/8.20 tff(6822,plain,
% 11.89/8.20 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))))),
% 11.89/8.20 inference(bind,[status(th)],[])).
% 11.89/8.20 tff(6823,plain,
% 11.89/8.20 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.89/8.20 inference(quant_intro,[status(thm)],[6822])).
% 11.89/8.20 tff(6824,plain,
% 11.89/8.20 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6825,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_2')).
% 11.89/8.20 tff(6826,plain,
% 11.89/8.20 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 11.89/8.20 tff(6827,plain,(
% 11.89/8.20 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.89/8.20 inference(skolemize,[status(sab)],[6826])).
% 11.89/8.20 tff(6828,plain,
% 11.89/8.20 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6827, 6823])).
% 11.89/8.20 tff(6829,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | ((~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6830,plain,
% 11.89/8.20 ((m_state_v_a1ext(c_s, s4, c_retracted) | (~node122(c_s, s4))) <=> ((~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6831,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node122(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | ((~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6830])).
% 11.89/8.20 tff(6832,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node122(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6831, 6829])).
% 11.89/8.20 tff(6833,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node122(c_s, s4)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6834,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node122(J0, X)))) | (~node122(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 11.89/8.20 tff(6835,plain,
% 11.89/8.20 (~node122(c_s, s4)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6834, 6828, 6439])).
% 11.89/8.20 tff(6836,plain,
% 11.89/8.20 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6837,plain,
% 11.89/8.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6838,plain,
% 11.89/8.20 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s2, s3)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 11.89/8.20 tff(6839,plain,
% 11.89/8.20 (node48(c_s, s2, s3)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6838, 62, 6300, 480])).
% 11.89/8.20 tff(6840,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6841,plain,
% 11.89/8.20 (((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle))) <=> (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6842,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3))))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6841])).
% 11.89/8.20 tff(6843,plain,
% 11.89/8.20 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3)))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6842, 6840])).
% 11.89/8.20 tff(6844,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node48(c_s, s2, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6845,plain,
% 11.89/8.20 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node48(c_s, s2, s3))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6844, 6843])).
% 11.89/8.20 tff(6846,plain,
% 11.89/8.20 (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6845, 6314, 6839])).
% 11.89/8.20 tff(6847,plain,
% 11.89/8.20 (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s2, c_idle))),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6846, 5273])).
% 11.89/8.20 tff(6848,plain,
% 11.89/8.20 (m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6847, 5231])).
% 11.89/8.20 tff(6849,plain,
% 11.89/8.20 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6850,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6851,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 11.89/8.20 tff(6852,plain,
% 11.89/8.20 (~m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6851, 6385, 6848])).
% 11.89/8.20 tff(6853,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6854,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6855,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm1stoppedatpress)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 11.89/8.20 tff(6856,plain,
% 11.89/8.20 (~node40(c_s, s3)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6855, 6399, 6852])).
% 11.89/8.20 tff(6857,plain,
% 11.89/8.20 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6858,plain,
% 11.89/8.20 (((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6859,plain,
% 11.89/8.20 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))))),
% 11.89/8.20 inference(monotonicity,[status(thm)],[6858])).
% 11.89/8.20 tff(6860,plain,
% 11.89/8.20 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)))),
% 11.89/8.20 inference(transitivity,[status(thm)],[6859, 6857])).
% 11.89/8.20 tff(6861,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6862,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 11.89/8.20 tff(6863,plain,
% 11.89/8.20 (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6862, 6329, 6848])).
% 11.89/8.20 tff(6864,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6865,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6866,plain,
% 11.89/8.20 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatpress)),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 11.89/8.20 tff(6867,plain,
% 11.89/8.20 (~node38(c_s, s3)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6866, 6346, 6863])).
% 11.89/8.20 tff(6868,plain,
% 11.89/8.20 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.89/8.20 inference(rewrite,[status(thm)],[])).
% 11.89/8.20 tff(6869,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable)))),
% 11.89/8.20 inference(quant_inst,[status(thm)],[])).
% 11.89/8.20 tff(6870,plain,
% 11.89/8.20 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s3, c_arm1stoppedattable))),
% 11.89/8.20 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 11.89/8.20 tff(6871,plain,
% 11.89/8.20 (~m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)),
% 11.89/8.20 inference(unit_resolution,[status(thm)],[6870, 6357, 6848])).
% 11.89/8.20 tff(6872,plain,
% 11.89/8.20 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6873,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6874,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s3)) | m_state_v_angle_status(c_s, s3, c_arm2stoppedatbelt)),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 11.89/8.21 tff(6875,plain,
% 11.89/8.21 (~node39(c_s, s3)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6874, 6374, 6871])).
% 11.89/8.21 tff(6876,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6877,plain,
% 11.89/8.21 (((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise))) <=> (m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6878,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2))))),
% 11.89/8.21 inference(monotonicity,[status(thm)],[6877])).
% 11.89/8.21 tff(6879,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2)))),
% 11.89/8.21 inference(transitivity,[status(thm)],[6878, 6876])).
% 11.89/8.21 tff(6880,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s1, s2)) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6881,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s1, c_clockwise) | (~m_state_v_RRM(c_s, s2, c_clockwise)) | (~node158(c_s, s1, s2))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 11.89/8.21 tff(6882,plain,
% 11.89/8.21 (~m_state_v_RRM(c_s, s2, c_clockwise)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6881, 5151, 5158, 5224])).
% 11.89/8.21 tff(6883,plain,
% 11.89/8.21 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6884,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6885,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node157(c_s, s2))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6884, 6883])).
% 11.89/8.21 tff(6886,plain,
% 11.89/8.21 (~node157(c_s, s2)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6885, 3387, 6882])).
% 11.89/8.21 tff(6887,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6888,plain,
% 11.89/8.21 (((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract))) <=> (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6889,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2))))),
% 11.89/8.21 inference(monotonicity,[status(thm)],[6888])).
% 11.89/8.21 tff(6890,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2)))),
% 11.89/8.21 inference(transitivity,[status(thm)],[6889, 6887])).
% 11.89/8.21 tff(6891,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6892,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_retract) | (~m_state_v_A1M(c_s, s2, c_retract)) | (~node130(c_s, s1, s2))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 11.89/8.21 tff(6893,plain,
% 11.89/8.21 (~m_state_v_A1M(c_s, s2, c_retract)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6892, 2930, 5106, 5134])).
% 11.89/8.21 tff(6894,plain,
% 11.89/8.21 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6895,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6896,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s2, c_retract) | (~node150(c_s, s2))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6895, 6894])).
% 11.89/8.21 tff(6897,plain,
% 11.89/8.21 (~node150(c_s, s2)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6896, 3453, 6893])).
% 11.89/8.21 tff(6898,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6899,plain,
% 11.89/8.21 (((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract))) <=> ((~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6900,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2))))),
% 11.89/8.21 inference(monotonicity,[status(thm)],[6899])).
% 11.89/8.21 tff(6901,plain,
% 11.89/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2)))),
% 11.89/8.21 inference(transitivity,[status(thm)],[6900, 6898])).
% 11.89/8.21 tff(6902,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_retract) | (~m_state_v_A2M(c_s, s2, c_retract)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6903,plain,
% 11.89/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s2, c_retract)) | m_state_v_A2M(c_s, s1, c_retract) | (~node140(c_s, s1, s2))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 11.89/8.21 tff(6904,plain,
% 11.89/8.21 (~m_state_v_A2M(c_s, s2, c_retract)),
% 11.89/8.21 inference(unit_resolution,[status(thm)],[6903, 5541, 5548, 5393])).
% 11.89/8.21 tff(6905,plain,
% 11.89/8.21 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))))),
% 11.89/8.21 inference(bind,[status(th)],[])).
% 11.89/8.21 tff(6906,plain,
% 11.89/8.21 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.89/8.21 inference(quant_intro,[status(thm)],[6905])).
% 11.89/8.21 tff(6907,plain,
% 11.89/8.21 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6908,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_138')).
% 11.89/8.21 tff(6909,plain,
% 11.89/8.21 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 11.89/8.21 tff(6910,plain,(
% 11.89/8.21 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.89/8.21 inference(skolemize,[status(sab)],[6909])).
% 11.89/8.21 tff(6911,plain,
% 11.89/8.21 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))),
% 11.89/8.21 inference(modus_ponens,[status(thm)],[6910, 6906])).
% 11.89/8.21 tff(6912,plain,
% 11.89/8.21 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node152(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node152(c_s, s2)))),
% 11.89/8.21 inference(rewrite,[status(thm)],[])).
% 11.89/8.21 tff(6913,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node152(c_s, s2)))),
% 11.89/8.21 inference(quant_inst,[status(thm)],[])).
% 11.89/8.21 tff(6914,plain,
% 11.89/8.21 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node152(c_s, s2))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 11.96/8.21 tff(6915,plain,
% 11.96/8.21 (~node152(c_s, s2)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6914, 6911, 6904])).
% 11.96/8.21 tff(6916,plain,
% 11.96/8.21 (^[X: $i, J0: $i] : refl((m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))))),
% 11.96/8.21 inference(bind,[status(th)],[])).
% 11.96/8.21 tff(6917,plain,
% 11.96/8.21 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.96/8.21 inference(quant_intro,[status(thm)],[6916])).
% 11.96/8.21 tff(6918,plain,
% 11.96/8.21 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6919,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_157')).
% 11.96/8.21 tff(6920,plain,
% 11.96/8.21 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 11.96/8.21 tff(6921,plain,(
% 11.96/8.21 ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.96/8.21 inference(skolemize,[status(sab)],[6920])).
% 11.96/8.21 tff(6922,plain,
% 11.96/8.21 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6921, 6917])).
% 11.96/8.21 tff(6923,plain,
% 11.96/8.21 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6924,plain,
% 11.96/8.21 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6925,plain,
% 11.96/8.21 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s2, c_on) | (~node155(c_s, s2))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 11.96/8.21 tff(6926,plain,
% 11.96/8.21 (~node155(c_s, s2)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6925, 6922, 5476])).
% 11.96/8.21 tff(6927,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6928,plain,
% 11.96/8.21 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress))) <=> (m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6929,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2))))),
% 11.96/8.21 inference(monotonicity,[status(thm)],[6928])).
% 11.96/8.21 tff(6930,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2)))),
% 11.96/8.21 inference(transitivity,[status(thm)],[6929, 6927])).
% 11.96/8.21 tff(6931,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6932,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~m_state_v_angle(c_s, s2, c_arm1topress)) | (~node41(c_s, s1, s2))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6931, 6930])).
% 11.96/8.21 tff(6933,plain,
% 11.96/8.21 (~m_state_v_angle(c_s, s2, c_arm1topress)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6932, 2567, 2574, 5266])).
% 11.96/8.21 tff(6934,plain,
% 11.96/8.21 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node153(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node153(c_s, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6935,plain,
% 11.96/8.21 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node153(c_s, s2)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6936,plain,
% 11.96/8.21 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node153(c_s, s2))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 11.96/8.21 tff(6937,plain,
% 11.96/8.21 (~node153(c_s, s2)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6936, 5176, 6933])).
% 11.96/8.21 tff(6938,plain,
% 11.96/8.21 (^[I0: $i, X: $i] : refl(((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))))),
% 11.96/8.21 inference(bind,[status(th)],[])).
% 11.96/8.21 tff(6939,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(quant_intro,[status(thm)],[6938])).
% 11.96/8.21 tff(6940,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6941,plain,
% 11.96/8.21 (^[I0: $i, X: $i] : rewrite(((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off))) <=> ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on))))),
% 11.96/8.21 inference(bind,[status(th)],[])).
% 11.96/8.21 tff(6942,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off))) <=> ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(quant_intro,[status(thm)],[6941])).
% 11.96/8.21 tff(6943,axiom,(![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_on)) | (~m_state_v_A1Mag(I0, X, c_off)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_6')).
% 11.96/8.21 tff(6944,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 11.96/8.21 tff(6945,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6944, 6940])).
% 11.96/8.21 tff(6946,plain,(
% 11.96/8.21 ![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(skolemize,[status(sab)],[6945])).
% 11.96/8.21 tff(6947,plain,
% 11.96/8.21 (![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6946, 6939])).
% 11.96/8.21 tff(6948,plain,
% 11.96/8.21 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6949,plain,
% 11.96/8.21 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6950,plain,
% 11.96/8.21 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s0, c_off)) | (~m_state_v_A1Mag(c_s, s0, c_on))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 11.96/8.21 tff(6951,plain,
% 11.96/8.21 (~m_state_v_A1Mag(c_s, s0, c_on)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6950, 6947, 2754])).
% 11.96/8.21 tff(6952,plain,
% 11.96/8.21 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))))),
% 11.96/8.21 inference(bind,[status(th)],[])).
% 11.96/8.21 tff(6953,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(quant_intro,[status(thm)],[6952])).
% 11.96/8.21 tff(6954,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6955,plain,
% 11.96/8.21 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y))) <=> ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V))))),
% 11.96/8.21 inference(bind,[status(th)],[])).
% 11.96/8.21 tff(6956,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(quant_intro,[status(thm)],[6955])).
% 11.96/8.21 tff(6957,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_A1Mag(J0, Y, V)) | m_state_v_A1Mag(J0, X, V)) | (~node144(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_114')).
% 11.96/8.21 tff(6958,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 11.96/8.21 tff(6959,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6958, 6954])).
% 11.96/8.21 tff(6960,plain,(
% 11.96/8.21 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(skolemize,[status(sab)],[6959])).
% 11.96/8.21 tff(6961,plain,
% 11.96/8.21 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6960, 6953])).
% 11.96/8.21 tff(6962,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6963,plain,
% 11.96/8.21 (((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on))) <=> (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6964,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1))))),
% 11.96/8.21 inference(monotonicity,[status(thm)],[6963])).
% 11.96/8.21 tff(6965,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1)))),
% 11.96/8.21 inference(transitivity,[status(thm)],[6964, 6962])).
% 11.96/8.21 tff(6966,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s0, s1)) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6967,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s0, c_on) | (~m_state_v_A1Mag(c_s, s1, c_on)) | (~node144(c_s, s0, s1))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 11.96/8.21 tff(6968,plain,
% 11.96/8.21 (~m_state_v_A1Mag(c_s, s1, c_on)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6967, 6961, 6951, 3552])).
% 11.96/8.21 tff(6969,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6970,plain,
% 11.96/8.21 (((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on))) <=> (m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2)))),
% 11.96/8.21 inference(rewrite,[status(thm)],[])).
% 11.96/8.21 tff(6971,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2))))),
% 11.96/8.21 inference(monotonicity,[status(thm)],[6970])).
% 11.96/8.21 tff(6972,plain,
% 11.96/8.21 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2)))),
% 11.96/8.21 inference(transitivity,[status(thm)],[6971, 6969])).
% 11.96/8.21 tff(6973,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s1, s2)) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)))),
% 11.96/8.21 inference(quant_inst,[status(thm)],[])).
% 11.96/8.21 tff(6974,plain,
% 11.96/8.21 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s1, c_on) | (~m_state_v_A1Mag(c_s, s2, c_on)) | (~node144(c_s, s1, s2))),
% 11.96/8.21 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 11.96/8.21 tff(6975,plain,
% 11.96/8.21 (~m_state_v_A1Mag(c_s, s2, c_on)),
% 11.96/8.21 inference(unit_resolution,[status(thm)],[6974, 6961, 6968, 5524])).
% 11.96/8.21 tff(6976,plain,
% 11.96/8.21 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))))),
% 11.96/8.22 inference(bind,[status(th)],[])).
% 11.96/8.22 tff(6977,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.96/8.22 inference(quant_intro,[status(thm)],[6976])).
% 11.96/8.22 tff(6978,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(6979,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_164')).
% 11.96/8.22 tff(6980,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 11.96/8.22 tff(6981,plain,(
% 11.96/8.22 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.96/8.22 inference(skolemize,[status(sab)],[6980])).
% 11.96/8.22 tff(6982,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6981, 6977])).
% 11.96/8.22 tff(6983,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(6984,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(6985,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node156(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node156(c_s, s2))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 11.96/8.22 tff(6986,plain,
% 11.96/8.22 (~node156(c_s, s2)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[6985, 6982, 6975])).
% 11.96/8.22 tff(6987,plain,
% 11.96/8.22 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))))),
% 11.96/8.22 inference(bind,[status(th)],[])).
% 11.96/8.22 tff(6988,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.96/8.22 inference(quant_intro,[status(thm)],[6987])).
% 11.96/8.22 tff(6989,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(6990,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_135')).
% 11.96/8.22 tff(6991,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 11.96/8.22 tff(6992,plain,(
% 11.96/8.22 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.96/8.22 inference(skolemize,[status(sab)],[6991])).
% 11.96/8.22 tff(6993,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6992, 6988])).
% 11.96/8.22 tff(6994,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(6995,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(6996,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node151(c_s, s2))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 11.96/8.22 tff(6997,plain,
% 11.96/8.22 (~node151(c_s, s2)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[6996, 6993, 6904])).
% 11.96/8.22 tff(6998,plain,
% 11.96/8.22 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))))),
% 11.96/8.22 inference(bind,[status(th)],[])).
% 11.96/8.22 tff(6999,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.96/8.22 inference(quant_intro,[status(thm)],[6998])).
% 11.96/8.22 tff(7000,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7001,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_148')).
% 11.96/8.22 tff(7002,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7001, 7000])).
% 11.96/8.22 tff(7003,plain,(
% 11.96/8.22 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.96/8.22 inference(skolemize,[status(sab)],[7002])).
% 11.96/8.22 tff(7004,plain,
% 11.96/8.22 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7003, 6999])).
% 11.96/8.22 tff(7005,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7006,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7007,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node154(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node154(c_s, s2))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 11.96/8.22 tff(7008,plain,
% 11.96/8.22 (~node154(c_s, s2)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7007, 7004, 6975])).
% 11.96/8.22 tff(7009,plain,
% 11.96/8.22 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7010,plain,
% 11.96/8.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7011,plain,
% 11.96/8.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s2, s3)),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7010, 7009])).
% 11.96/8.22 tff(7012,plain,
% 11.96/8.22 (node159(c_s, s2, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7011, 2729, 3365, 480])).
% 11.96/8.22 tff(7013,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7014,plain,
% 11.96/8.22 ((node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3))) <=> (node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7015,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3))))),
% 11.96/8.22 inference(monotonicity,[status(thm)],[7014])).
% 11.96/8.22 tff(7016,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))),
% 11.96/8.22 inference(transitivity,[status(thm)],[7015, 7013])).
% 11.96/8.22 tff(7017,plain,
% 11.96/8.22 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s2) | node151(c_s, s2) | node152(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node155(c_s, s2) | node156(c_s, s2) | node157(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7018,plain,
% 11.96/8.22 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3) | (~node159(c_s, s2, s3))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 11.96/8.22 tff(7019,plain,
% 11.96/8.22 (node156(c_s, s2) | node153(c_s, s2) | node154(c_s, s2) | node151(c_s, s2) | node157(c_s, s2) | node150(c_s, s2) | node155(c_s, s2) | node152(c_s, s2) | node158(c_s, s2, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7018, 3478, 7012])).
% 11.96/8.22 tff(7020,plain,
% 11.96/8.22 (node157(c_s, s2) | node150(c_s, s2) | node158(c_s, s2, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7019, 7008, 6997, 6986, 6937, 6926, 6915])).
% 11.96/8.22 tff(7021,plain,
% 11.96/8.22 (node158(c_s, s2, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7020, 6897, 6886])).
% 11.96/8.22 tff(7022,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7023,plain,
% 11.96/8.22 (((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7024,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3))))),
% 11.96/8.22 inference(monotonicity,[status(thm)],[7023])).
% 11.96/8.22 tff(7025,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3)))),
% 11.96/8.22 inference(transitivity,[status(thm)],[7024, 7022])).
% 11.96/8.22 tff(7026,plain,
% 11.96/8.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~m_state_v_RRM(c_s, s3, c_counterclock)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7027,plain,
% 11.96/8.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_counterclock)) | m_state_v_RRM(c_s, s2, c_counterclock) | (~node158(c_s, s2, s3))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 11.96/8.22 tff(7028,plain,
% 11.96/8.22 (~m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7027, 5151, 6286, 7021])).
% 11.96/8.22 tff(7029,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7030,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7031,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s3)) | m_state_v_RRM(c_s, s3, c_counterclock)),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 11.96/8.22 tff(7032,plain,
% 11.96/8.22 (~node37(c_s, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7031, 2461, 7028])).
% 11.96/8.22 tff(7033,plain,
% 11.96/8.22 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7034,plain,
% 11.96/8.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7035,plain,
% 11.96/8.22 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s3, s4)),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 11.96/8.22 tff(7036,plain,
% 11.96/8.22 (node42(c_s, s3, s4)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7035, 62, 2427, 911])).
% 11.96/8.22 tff(7037,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7038,plain,
% 11.96/8.22 ((node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4))) <=> (node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7039,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3)))),
% 11.96/8.22 inference(monotonicity,[status(thm)],[7038])).
% 11.96/8.22 tff(7040,plain,
% 11.96/8.22 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3))),
% 11.96/8.22 inference(transitivity,[status(thm)],[7039, 7037])).
% 11.96/8.22 tff(7041,plain,
% 11.96/8.22 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s3) | node38(c_s, s3) | node39(c_s, s3) | node40(c_s, s3) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7042,plain,
% 11.96/8.22 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s3, s4) | (~node42(c_s, s3, s4)) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3)),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 11.96/8.22 tff(7043,plain,
% 11.96/8.22 (node41(c_s, s3, s4) | node37(c_s, s3) | node40(c_s, s3) | node38(c_s, s3) | node39(c_s, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7042, 2550, 7036])).
% 11.96/8.22 tff(7044,plain,
% 11.96/8.22 (node41(c_s, s3, s4)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7043, 7032, 6875, 6867, 6856])).
% 11.96/8.22 tff(7045,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7046,plain,
% 11.96/8.22 (((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable)) <=> ((~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7047,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4))))),
% 11.96/8.22 inference(monotonicity,[status(thm)],[7046])).
% 11.96/8.22 tff(7048,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4)))),
% 11.96/8.22 inference(transitivity,[status(thm)],[7047, 7045])).
% 11.96/8.22 tff(7049,plain,
% 11.96/8.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s3, s4)) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7050,plain,
% 11.96/8.22 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s3, c_arm1totable)) | m_state_v_angle(c_s, s4, c_arm1totable) | (~node41(c_s, s3, s4))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 11.96/8.22 tff(7051,plain,
% 11.96/8.22 (m_state_v_angle(c_s, s4, c_arm1totable)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7050, 2666, 6423, 7044])).
% 11.96/8.22 tff(7052,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7053,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7054,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node128(c_s, s3))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 11.96/8.22 tff(7055,plain,
% 11.96/8.22 (~node128(c_s, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7054, 2867, 5627])).
% 11.96/8.22 tff(7056,plain,
% 11.96/8.22 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7057,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3)))),
% 11.96/8.22 inference(quant_inst,[status(thm)],[])).
% 11.96/8.22 tff(7058,plain,
% 11.96/8.22 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node129(c_s, s3))),
% 11.96/8.22 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 11.96/8.22 tff(7059,plain,
% 11.96/8.22 (~node129(c_s, s3)),
% 11.96/8.22 inference(unit_resolution,[status(thm)],[7058, 2878, 5627])).
% 11.96/8.22 tff(7060,plain,
% 11.96/8.22 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3)))),
% 11.96/8.22 inference(rewrite,[status(thm)],[])).
% 11.96/8.22 tff(7061,plain,
% 11.96/8.22 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7062,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3))))),
% 11.96/8.23 inference(monotonicity,[status(thm)],[7061])).
% 11.96/8.23 tff(7063,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3)))),
% 11.96/8.23 inference(transitivity,[status(thm)],[7062, 7060])).
% 11.96/8.23 tff(7064,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~m_state_v_angle(c_s, s3, c_arm1topress)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7065,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm1topress)) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node41(c_s, s2, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 11.96/8.23 tff(7066,plain,
% 11.96/8.23 (~m_state_v_angle(c_s, s3, c_arm1topress)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7065, 2567, 6933, 6416])).
% 11.96/8.23 tff(7067,plain,
% 11.96/8.23 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7068,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7067])).
% 11.96/8.23 tff(7069,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7070,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_26')).
% 11.96/8.23 tff(7071,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 11.96/8.23 tff(7072,plain,(
% 11.96/8.23 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.96/8.23 inference(skolemize,[status(sab)],[7071])).
% 11.96/8.23 tff(7073,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7072, 7068])).
% 11.96/8.23 tff(7074,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~node125(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~node125(c_s, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7075,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~node125(c_s, s3)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7076,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~node125(c_s, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 11.96/8.23 tff(7077,plain,
% 11.96/8.23 (~node125(c_s, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7076, 7073, 7066])).
% 11.96/8.23 tff(7078,plain,
% 11.96/8.23 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7079,plain,
% 11.96/8.23 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7080,plain,
% 11.96/8.23 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s3, c_extend)) | (~m_state_v_A1M(c_s, s3, c_idle))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 11.96/8.23 tff(7081,plain,
% 11.96/8.23 (~m_state_v_A1M(c_s, s3, c_idle)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7080, 2834, 5623])).
% 11.96/8.23 tff(7082,plain,
% 11.96/8.23 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7083,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7082])).
% 11.96/8.23 tff(7084,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7085,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_35')).
% 11.96/8.23 tff(7086,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7085, 7084])).
% 11.96/8.23 tff(7087,plain,(
% 11.96/8.23 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 11.96/8.23 inference(skolemize,[status(sab)],[7086])).
% 11.96/8.23 tff(7088,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7087, 7083])).
% 11.96/8.23 tff(7089,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node127(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node127(c_s, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7090,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node127(c_s, s3)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7091,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node127(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node127(c_s, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 11.96/8.23 tff(7092,plain,
% 11.96/8.23 (~node127(c_s, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7091, 7088, 7081])).
% 11.96/8.23 tff(7093,plain,
% 11.96/8.23 (^[X: $i, J0: $i] : refl(((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7094,plain,
% 11.96/8.23 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7093])).
% 11.96/8.23 tff(7095,plain,
% 11.96/8.23 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7096,plain,
% 11.96/8.23 (^[X: $i, J0: $i] : rewrite((m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X))) <=> ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle)))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7097,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7096])).
% 11.96/8.23 tff(7098,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node122(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_5')).
% 11.96/8.23 tff(7099,plain,
% 11.96/8.23 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 11.96/8.23 tff(7100,plain,
% 11.96/8.23 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7099, 7095])).
% 11.96/8.23 tff(7101,plain,(
% 11.96/8.23 ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(skolemize,[status(sab)],[7100])).
% 11.96/8.23 tff(7102,plain,
% 11.96/8.23 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7101, 7094])).
% 11.96/8.23 tff(7103,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7104,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7105,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s3)) | m_state_v_A1M(c_s, s3, c_idle)),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 11.96/8.23 tff(7106,plain,
% 11.96/8.23 (~node122(c_s, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7105, 7102, 7081])).
% 11.96/8.23 tff(7107,plain,
% 11.96/8.23 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7108,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7107])).
% 11.96/8.23 tff(7109,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7110,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_31')).
% 11.96/8.23 tff(7111,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 11.96/8.23 tff(7112,plain,(
% 11.96/8.23 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 11.96/8.23 inference(skolemize,[status(sab)],[7111])).
% 11.96/8.23 tff(7113,plain,
% 11.96/8.23 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7112, 7108])).
% 11.96/8.23 tff(7114,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node126(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node126(c_s, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7115,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node126(c_s, s3)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7116,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node126(c_s, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 11.96/8.23 tff(7117,plain,
% 11.96/8.23 (~node126(c_s, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7116, 7113, 7081])).
% 11.96/8.23 tff(7118,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7119,plain,
% 11.96/8.23 (((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend))) <=> (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7120,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2))))),
% 11.96/8.23 inference(monotonicity,[status(thm)],[7119])).
% 11.96/8.23 tff(7121,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2)))),
% 11.96/8.23 inference(transitivity,[status(thm)],[7120, 7118])).
% 11.96/8.23 tff(7122,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s1, s2)) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7123,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s1, c_extend) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node130(c_s, s1, s2))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 11.96/8.23 tff(7124,plain,
% 11.96/8.23 (~m_state_v_A1M(c_s, s2, c_extend)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7123, 2930, 5134, 5113])).
% 11.96/8.23 tff(7125,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7126,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7127,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node29(c_s, s2))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7126, 7125])).
% 11.96/8.23 tff(7128,plain,
% 11.96/8.23 (~node29(c_s, s2)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7127, 2628, 7124])).
% 11.96/8.23 tff(7129,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7130,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7131,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s2)) | m_state_v_angle(c_s, s2, c_arm1topress)),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 11.96/8.23 tff(7132,plain,
% 11.96/8.23 (~node30(c_s, s2)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7131, 2584, 6933])).
% 11.96/8.23 tff(7133,plain,
% 11.96/8.23 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7134,plain,
% 11.96/8.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7135,plain,
% 11.96/8.23 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s2, s3)),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 11.96/8.23 tff(7136,plain,
% 11.96/8.23 (node32(c_s, s2, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7135, 62, 2598, 480])).
% 11.96/8.23 tff(7137,plain,
% 11.96/8.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7138,plain,
% 11.96/8.23 ((m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3))) <=> (m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7139,plain,
% 11.96/8.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3))))),
% 11.96/8.23 inference(monotonicity,[status(thm)],[7138])).
% 11.96/8.23 tff(7140,plain,
% 11.96/8.23 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))),
% 11.96/8.23 inference(transitivity,[status(thm)],[7139, 7137])).
% 11.96/8.23 tff(7141,plain,
% 11.96/8.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node30(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7142,plain,
% 11.96/8.23 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3) | (~node32(c_s, s2, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 11.96/8.23 tff(7143,plain,
% 11.96/8.23 (m_state_v_A1M(c_s, s2, c_retract) | node30(c_s, s2) | node29(c_s, s2) | node31(c_s, s2, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7142, 3043, 7136])).
% 11.96/8.23 tff(7144,plain,
% 11.96/8.23 (m_state_v_A1M(c_s, s2, c_retract) | node29(c_s, s2) | node31(c_s, s2, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7143, 7132])).
% 11.96/8.23 tff(7145,plain,
% 11.96/8.23 (node31(c_s, s2, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7144, 7128, 6893])).
% 11.96/8.23 tff(7146,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7147,plain,
% 11.96/8.23 (((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot))) <=> (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7148,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2))))),
% 11.96/8.23 inference(monotonicity,[status(thm)],[7147])).
% 11.96/8.23 tff(7149,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2)))),
% 11.96/8.23 inference(transitivity,[status(thm)],[7148, 7146])).
% 11.96/8.23 tff(7150,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s1, s2)) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7151,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s1, c_ot) | (~m_state_v_a1ext(c_s, s2, c_ot)) | (~node31(c_s, s1, s2))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 11.96/8.23 tff(7152,plain,
% 11.96/8.23 (~m_state_v_a1ext(c_s, s2, c_ot)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7151, 3068, 3107, 5123])).
% 11.96/8.23 tff(7153,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7154,plain,
% 11.96/8.23 (((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot))) <=> ((~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7155,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3))))),
% 11.96/8.23 inference(monotonicity,[status(thm)],[7154])).
% 11.96/8.23 tff(7156,plain,
% 11.96/8.23 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3)))),
% 11.96/8.23 inference(transitivity,[status(thm)],[7155, 7153])).
% 11.96/8.23 tff(7157,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s2, s3)) | m_state_v_a1ext(c_s, s2, c_ot) | (~m_state_v_a1ext(c_s, s3, c_ot)))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7158,plain,
% 11.96/8.23 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (~m_state_v_a1ext(c_s, s3, c_ot)) | m_state_v_a1ext(c_s, s2, c_ot) | (~node31(c_s, s2, s3))),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7157, 7156])).
% 11.96/8.23 tff(7159,plain,
% 11.96/8.23 (~m_state_v_a1ext(c_s, s3, c_ot)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7158, 3068, 7152, 7145])).
% 11.96/8.23 tff(7160,plain,
% 11.96/8.23 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7161,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot))),
% 11.96/8.23 inference(quant_inst,[status(thm)],[])).
% 11.96/8.23 tff(7162,plain,
% 11.96/8.23 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s3)) | m_state_v_a1ext(c_s, s3, c_ot)),
% 11.96/8.23 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 11.96/8.23 tff(7163,plain,
% 11.96/8.23 (~node124(c_s, s3)),
% 11.96/8.23 inference(unit_resolution,[status(thm)],[7162, 3121, 7159])).
% 11.96/8.23 tff(7164,plain,
% 11.96/8.23 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))))),
% 11.96/8.23 inference(bind,[status(th)],[])).
% 11.96/8.23 tff(7165,plain,
% 11.96/8.23 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.23 inference(quant_intro,[status(thm)],[7164])).
% 11.96/8.23 tff(7166,plain,
% 11.96/8.23 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0))) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.23 inference(rewrite,[status(thm)],[])).
% 11.96/8.23 tff(7167,plain,
% 11.96/8.23 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0)))), (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Press_v_s(I0, J0))))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))), ((((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7168,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7167])).
% 11.96/8.24 tff(7169,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((((((((((((((~trans(X, Y)) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | (~m_Press_v_s(I0, J0))) | node121(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_27')).
% 11.96/8.24 tff(7170,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 11.96/8.24 tff(7171,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7170, 7166])).
% 11.96/8.24 tff(7172,plain,(
% 11.96/8.24 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7171])).
% 11.96/8.24 tff(7173,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7172, 7165])).
% 11.96/8.24 tff(7174,plain,
% 11.96/8.24 (m_Press_v_s(c_PR, c_s) <=> m_Press_v_s(c_PR, c_s)),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7175,axiom,(m_Press_v_s(c_PR, c_s)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 11.96/8.24 tff(7176,plain,
% 11.96/8.24 (m_Press_v_s(c_PR, c_s)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 11.96/8.24 tff(7177,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7178,plain,
% 11.96/8.24 (((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7179,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2)))),
% 11.96/8.24 inference(monotonicity,[status(thm)],[7178])).
% 11.96/8.24 tff(7180,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2))),
% 11.96/8.24 inference(transitivity,[status(thm)],[7179, 7177])).
% 11.96/8.24 tff(7181,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s1, s2)) | node121(c_s, s1, s2) | (~m_Press_v_s(c_PR, c_s)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7182,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s1, s2)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s1, s2)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 11.96/8.24 tff(7183,plain,
% 11.96/8.24 (node121(c_s, s1, s2)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7182, 7176, 7173, 271])).
% 11.96/8.24 tff(7184,plain,
% 11.96/8.24 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7185,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7184])).
% 11.96/8.24 tff(7186,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7187,plain,
% 11.96/8.24 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7188,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7187])).
% 11.96/8.24 tff(7189,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | (~m_Robot_v_s(I0, J0))) | node163(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_198')).
% 11.96/8.24 tff(7190,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 11.96/8.24 tff(7191,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7190, 7186])).
% 11.96/8.24 tff(7192,plain,(
% 11.96/8.24 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7191])).
% 11.96/8.24 tff(7193,plain,
% 11.96/8.24 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7192, 7185])).
% 11.96/8.24 tff(7194,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7195,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7196,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s0, s1)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s0, s1)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 11.96/8.24 tff(7197,plain,
% 11.96/8.24 (node163(c_s, s0, s1)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7196, 2729, 7193, 49])).
% 11.96/8.24 tff(7198,plain,
% 11.96/8.24 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7199,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7198])).
% 11.96/8.24 tff(7200,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7201,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_187')).
% 11.96/8.24 tff(7202,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7201, 7200])).
% 11.96/8.24 tff(7203,plain,(
% 11.96/8.24 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7202])).
% 11.96/8.24 tff(7204,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7203, 7199])).
% 11.96/8.24 tff(7205,plain,
% 11.96/8.24 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7206,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7207,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s0, c_arm2topress) | (~node160(c_s, s0))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 11.96/8.24 tff(7208,plain,
% 11.96/8.24 (~node160(c_s, s0)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7207, 7204, 2485])).
% 11.96/8.24 tff(7209,plain,
% 11.96/8.24 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7210,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7209])).
% 11.96/8.24 tff(7211,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7212,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_191')).
% 11.96/8.24 tff(7213,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 11.96/8.24 tff(7214,plain,(
% 11.96/8.24 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7213])).
% 11.96/8.24 tff(7215,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7214, 7210])).
% 11.96/8.24 tff(7216,plain,
% 11.96/8.24 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node161(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node161(c_s, s0)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7217,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s0, c_retract) | (~node161(c_s, s0)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7218,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s0, c_retract) | (~node161(c_s, s0))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 11.96/8.24 tff(7219,plain,
% 11.96/8.24 (~node161(c_s, s0)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7218, 7215, 1387])).
% 11.96/8.24 tff(7220,plain,
% 11.96/8.24 (^[Y: $i, X: $i, J0: $i] : refl((node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7221,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7220])).
% 11.96/8.24 tff(7222,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7223,plain,
% 11.96/8.24 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y))), ((((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> ((node161(J0, X) | node160(J0, X) | node162(J0, X, Y)) | (~node163(J0, X, Y))))), rewrite(((node161(J0, X) | node160(J0, X) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))), ((((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7224,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7223])).
% 11.96/8.24 tff(7225,axiom,(![Y: $i, X: $i, J0: $i] : (((node160(J0, X) | node161(J0, X)) | node162(J0, X, Y)) | (~node163(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_197')).
% 11.96/8.24 tff(7226,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7225, 7224])).
% 11.96/8.24 tff(7227,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7226, 7222])).
% 11.96/8.24 tff(7228,plain,(
% 11.96/8.24 ![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7227])).
% 11.96/8.24 tff(7229,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7228, 7221])).
% 11.96/8.24 tff(7230,plain,
% 11.96/8.24 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7231,plain,
% 11.96/8.24 ((node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1))) <=> (node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7232,plain,
% 11.96/8.24 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1)))),
% 11.96/8.24 inference(monotonicity,[status(thm)],[7231])).
% 11.96/8.24 tff(7233,plain,
% 11.96/8.24 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1))),
% 11.96/8.24 inference(transitivity,[status(thm)],[7232, 7230])).
% 11.96/8.24 tff(7234,plain,
% 11.96/8.24 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s0) | node160(c_s, s0) | node162(c_s, s0, s1) | (~node163(c_s, s0, s1)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7235,plain,
% 11.96/8.24 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s0) | node160(c_s, s0) | (~node163(c_s, s0, s1)) | node162(c_s, s0, s1)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 11.96/8.24 tff(7236,plain,
% 11.96/8.24 (node162(c_s, s0, s1)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7235, 7229, 7219, 7208, 7197])).
% 11.96/8.24 tff(7237,plain,
% 11.96/8.24 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7238,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7237])).
% 11.96/8.24 tff(7239,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7240,plain,
% 11.96/8.24 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) <=> ((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y))), (((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> (((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y)) | (~node162(J0, X, Y))))), rewrite((((~m_state_v_pl(J0, X)) | m_state_v_pl(J0, Y)) | (~node162(J0, X, Y))) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))), (((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7241,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7240])).
% 11.96/8.24 tff(7242,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_pl(J0, Y) | (~m_state_v_pl(J0, X))) | (~node162(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_193')).
% 11.96/8.24 tff(7243,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 11.96/8.24 tff(7244,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7243, 7239])).
% 11.96/8.24 tff(7245,plain,(
% 11.96/8.24 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7244])).
% 11.96/8.24 tff(7246,plain,
% 11.96/8.24 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7245, 7238])).
% 11.96/8.24 tff(7247,plain,
% 11.96/8.24 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7248,plain,
% 11.96/8.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7249,plain,
% 11.96/8.24 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s0)) | (~node162(c_s, s0, s1)) | m_state_v_pl(c_s, s1)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 11.96/8.24 tff(7250,plain,
% 11.96/8.24 (m_state_v_pl(c_s, s1)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7249, 7246, 2891, 7236])).
% 11.96/8.24 tff(7251,plain,
% 11.96/8.24 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node114(J0, X))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7252,plain,
% 11.96/8.24 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7251])).
% 11.96/8.24 tff(7253,plain,
% 11.96/8.24 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7254,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_3')).
% 11.96/8.24 tff(7255,plain,
% 11.96/8.24 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 11.96/8.24 tff(7256,plain,(
% 11.96/8.24 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7255])).
% 11.96/8.24 tff(7257,plain,
% 11.96/8.24 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7256, 7252])).
% 11.96/8.24 tff(7258,plain,
% 11.96/8.24 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7259,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7260,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s1)) | (~node114(c_s, s1))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 11.96/8.24 tff(7261,plain,
% 11.96/8.24 (~node114(c_s, s1)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7260, 7257, 7250])).
% 11.96/8.24 tff(7262,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7263,plain,
% 11.96/8.24 (((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7264,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1)))),
% 11.96/8.24 inference(monotonicity,[status(thm)],[7263])).
% 11.96/8.24 tff(7265,plain,
% 11.96/8.24 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1))),
% 11.96/8.24 inference(transitivity,[status(thm)],[7264, 7262])).
% 11.96/8.24 tff(7266,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s0, s1)) | node121(c_s, s0, s1) | (~m_Press_v_s(c_PR, c_s)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7267,plain,
% 11.96/8.24 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s0, s1)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s0, s1)),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 11.96/8.24 tff(7268,plain,
% 11.96/8.24 (node121(c_s, s0, s1)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7267, 7176, 7173, 49])).
% 11.96/8.24 tff(7269,assumption,(m_state_v_midPosP(c_s, s0)), introduced(assumption)).
% 11.96/8.24 tff(7270,plain,
% 11.96/8.24 (^[I0: $i] : refl((~m_state_v_midPosP(I0, s0)) <=> (~m_state_v_midPosP(I0, s0)))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7271,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_midPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7270])).
% 11.96/8.24 tff(7272,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_midPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7273,axiom,(![I0: $i] : (~m_state_v_midPosP(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_97')).
% 11.96/8.24 tff(7274,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 11.96/8.24 tff(7275,plain,(
% 11.96/8.24 ![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7274])).
% 11.96/8.24 tff(7276,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_midPosP(I0, s0))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7275, 7271])).
% 11.96/8.24 tff(7277,plain,
% 11.96/8.24 ((~![I0: $i] : (~m_state_v_midPosP(I0, s0))) | (~m_state_v_midPosP(c_s, s0))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7278,plain,
% 11.96/8.24 ($false),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7277, 7276, 7269])).
% 11.96/8.24 tff(7279,plain,(~m_state_v_midPosP(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.96/8.24 tff(7280,plain,
% 11.96/8.24 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node116(J0, X))))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7281,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7280])).
% 11.96/8.24 tff(7282,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7283,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_7')).
% 11.96/8.24 tff(7284,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 11.96/8.24 tff(7285,plain,(
% 11.96/8.24 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.96/8.24 inference(skolemize,[status(sab)],[7284])).
% 11.96/8.24 tff(7286,plain,
% 11.96/8.24 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7285, 7281])).
% 11.96/8.24 tff(7287,plain,
% 11.96/8.24 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))),
% 11.96/8.24 inference(rewrite,[status(thm)],[])).
% 11.96/8.24 tff(7288,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0)))),
% 11.96/8.24 inference(quant_inst,[status(thm)],[])).
% 11.96/8.24 tff(7289,plain,
% 11.96/8.24 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s0) | (~node116(c_s, s0))),
% 11.96/8.24 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 11.96/8.24 tff(7290,plain,
% 11.96/8.24 (~node116(c_s, s0)),
% 11.96/8.24 inference(unit_resolution,[status(thm)],[7289, 7286, 7279])).
% 11.96/8.24 tff(7291,assumption,(m_state_v_topPosP(c_s, s0)), introduced(assumption)).
% 11.96/8.24 tff(7292,plain,
% 11.96/8.24 (^[I0: $i] : refl((~m_state_v_topPosP(I0, s0)) <=> (~m_state_v_topPosP(I0, s0)))),
% 11.96/8.24 inference(bind,[status(th)],[])).
% 11.96/8.24 tff(7293,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_topPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.96/8.24 inference(quant_intro,[status(thm)],[7292])).
% 11.96/8.24 tff(7294,plain,
% 11.96/8.24 (![I0: $i] : (~m_state_v_topPosP(I0, s0)) <=> ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7295,axiom,(![I0: $i] : (~m_state_v_topPosP(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_102')).
% 11.96/8.25 tff(7296,plain,
% 11.96/8.25 (![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 11.96/8.25 tff(7297,plain,(
% 11.96/8.25 ![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7296])).
% 11.96/8.25 tff(7298,plain,
% 11.96/8.25 (![I0: $i] : (~m_state_v_topPosP(I0, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7297, 7293])).
% 11.96/8.25 tff(7299,plain,
% 11.96/8.25 ((~![I0: $i] : (~m_state_v_topPosP(I0, s0))) | (~m_state_v_topPosP(c_s, s0))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7300,plain,
% 11.96/8.25 ($false),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7299, 7298, 7291])).
% 11.96/8.25 tff(7301,plain,(~m_state_v_topPosP(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 11.96/8.25 tff(7302,plain,
% 11.96/8.25 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node118(J0, X))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7303,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7302])).
% 11.96/8.25 tff(7304,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7305,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_13')).
% 11.96/8.25 tff(7306,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 11.96/8.25 tff(7307,plain,(
% 11.96/8.25 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7306])).
% 11.96/8.25 tff(7308,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7307, 7303])).
% 11.96/8.25 tff(7309,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7310,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7311,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node118(c_s, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 11.96/8.25 tff(7312,plain,
% 11.96/8.25 (~node118(c_s, s0)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7311, 7308, 7301])).
% 11.96/8.25 tff(7313,plain,
% 11.96/8.25 (^[I0: $i] : refl(m_state_v_PM(I0, s0, c_idle) <=> m_state_v_PM(I0, s0, c_idle))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7314,plain,
% 11.96/8.25 (![I0: $i] : m_state_v_PM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7313])).
% 11.96/8.25 tff(7315,plain,
% 11.96/8.25 (![I0: $i] : m_state_v_PM(I0, s0, c_idle) <=> ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7316,axiom,(![I0: $i] : m_state_v_PM(I0, s0, c_idle)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_100')).
% 11.96/8.25 tff(7317,plain,
% 11.96/8.25 (![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 11.96/8.25 tff(7318,plain,(
% 11.96/8.25 ![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.96/8.25 inference(skolemize,[status(sab)],[7317])).
% 11.96/8.25 tff(7319,plain,
% 11.96/8.25 (![I0: $i] : m_state_v_PM(I0, s0, c_idle)),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7318, 7314])).
% 11.96/8.25 tff(7320,plain,
% 11.96/8.25 ((~![I0: $i] : m_state_v_PM(I0, s0, c_idle)) | m_state_v_PM(c_s, s0, c_idle)),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7321,plain,
% 11.96/8.25 (m_state_v_PM(c_s, s0, c_idle)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7320, 7319])).
% 11.96/8.25 tff(7322,plain,
% 11.96/8.25 (^[I0: $i, X: $i] : refl(((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7323,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7322])).
% 11.96/8.25 tff(7324,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7325,axiom,(![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_29')).
% 11.96/8.25 tff(7326,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 11.96/8.25 tff(7327,plain,(
% 11.96/8.25 ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7326])).
% 11.96/8.25 tff(7328,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7327, 7323])).
% 11.96/8.25 tff(7329,plain,
% 11.96/8.25 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7330,plain,
% 11.96/8.25 (((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle))) <=> ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7331,plain,
% 11.96/8.25 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up))))),
% 11.96/8.25 inference(monotonicity,[status(thm)],[7330])).
% 11.96/8.25 tff(7332,plain,
% 11.96/8.25 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up)))),
% 11.96/8.25 inference(transitivity,[status(thm)],[7331, 7329])).
% 11.96/8.25 tff(7333,plain,
% 11.96/8.25 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_up)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7334,plain,
% 11.96/8.25 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_up)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_idle)) | (~m_state_v_PM(c_s, s0, c_up))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 11.96/8.25 tff(7335,plain,
% 11.96/8.25 (~m_state_v_PM(c_s, s0, c_up)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7334, 7328, 7321])).
% 11.96/8.25 tff(7336,plain,
% 11.96/8.25 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7337,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7336])).
% 11.96/8.25 tff(7338,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7339,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_11')).
% 11.96/8.25 tff(7340,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7339, 7338])).
% 11.96/8.25 tff(7341,plain,(
% 11.96/8.25 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7340])).
% 11.96/8.25 tff(7342,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7341, 7337])).
% 11.96/8.25 tff(7343,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node117(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node117(c_s, s0)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7344,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node117(c_s, s0)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7345,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node117(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node117(c_s, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 11.96/8.25 tff(7346,plain,
% 11.96/8.25 (~node117(c_s, s0)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7345, 7342, 7335])).
% 11.96/8.25 tff(7347,plain,
% 11.96/8.25 (^[I0: $i, X: $i] : refl(((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7348,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7347])).
% 11.96/8.25 tff(7349,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7350,axiom,(![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_30')).
% 11.96/8.25 tff(7351,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 11.96/8.25 tff(7352,plain,(
% 11.96/8.25 ![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7351])).
% 11.96/8.25 tff(7353,plain,
% 11.96/8.25 (![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7352, 7348])).
% 11.96/8.25 tff(7354,plain,
% 11.96/8.25 (((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7355,plain,
% 11.96/8.25 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | ((~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7356,plain,
% 11.96/8.25 ((~![I0: $i, X: $i] : ((~m_state_v_PM(I0, X, c_down)) | (~m_state_v_PM(I0, X, c_idle)))) | (~m_state_v_PM(c_s, s0, c_down)) | (~m_state_v_PM(c_s, s0, c_idle))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7355, 7354])).
% 11.96/8.25 tff(7357,plain,
% 11.96/8.25 (~m_state_v_PM(c_s, s0, c_down)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7356, 7353, 7321])).
% 11.96/8.25 tff(7358,plain,
% 11.96/8.25 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7359,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7358])).
% 11.96/8.25 tff(7360,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7361,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_16')).
% 11.96/8.25 tff(7362,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 11.96/8.25 tff(7363,plain,(
% 11.96/8.25 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7362])).
% 11.96/8.25 tff(7364,plain,
% 11.96/8.25 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7363, 7359])).
% 11.96/8.25 tff(7365,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7366,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7367,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node119(c_s, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 11.96/8.25 tff(7368,plain,
% 11.96/8.25 (~node119(c_s, s0)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7367, 7364, 7357])).
% 11.96/8.25 tff(7369,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7370,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7371,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node114(c_s, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 11.96/8.25 tff(7372,plain,
% 11.96/8.25 (~node114(c_s, s0)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7371, 7257, 2891])).
% 11.96/8.25 tff(7373,plain,
% 11.96/8.25 (^[X: $i, J0: $i] : refl(((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ((~m_state_v_pl(J0, X)) | (~node115(J0, X))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7374,plain,
% 11.96/8.25 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7373])).
% 11.96/8.25 tff(7375,plain,
% 11.96/8.25 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7376,axiom,(![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_4')).
% 11.96/8.25 tff(7377,plain,
% 11.96/8.25 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7376, 7375])).
% 11.96/8.25 tff(7378,plain,(
% 11.96/8.25 ![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7377])).
% 11.96/8.25 tff(7379,plain,
% 11.96/8.25 (![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7378, 7374])).
% 11.96/8.25 tff(7380,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node115(c_s, s0)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node115(c_s, s0)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7381,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | (~node115(c_s, s0)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7382,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s0)) | (~node115(c_s, s0))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 11.96/8.25 tff(7383,plain,
% 11.96/8.25 (~node115(c_s, s0)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7382, 7379, 2891])).
% 11.96/8.25 tff(7384,plain,
% 11.96/8.25 (^[Y: $i, X: $i, J0: $i] : refl((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7385,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7384])).
% 11.96/8.25 tff(7386,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7387,plain,
% 11.96/8.25 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node114(J0, X) | node115(J0, X)) | node116(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X))), ((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X)) | node117(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X)) | node117(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X))), ((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)))), (((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)) | node118(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X)) | node118(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X))), (((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)))), ((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)) | node119(J0, X)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X)) | node119(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X))), ((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)))), (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)) | node120(J0, X, Y)))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X)) | node120(J0, X, Y)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y))), (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)))), ((((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> ((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)) | (~node121(J0, X, Y))))), rewrite(((node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))), ((((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7388,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7387])).
% 11.96/8.25 tff(7389,axiom,(![Y: $i, X: $i, J0: $i] : (((((((node114(J0, X) | node115(J0, X)) | node116(J0, X)) | node117(J0, X)) | node118(J0, X)) | node119(J0, X)) | node120(J0, X, Y)) | (~node121(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_26')).
% 11.96/8.25 tff(7390,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 11.96/8.25 tff(7391,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7390, 7386])).
% 11.96/8.25 tff(7392,plain,(
% 11.96/8.25 ![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7391])).
% 11.96/8.25 tff(7393,plain,
% 11.96/8.25 (![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7392, 7385])).
% 11.96/8.25 tff(7394,plain,
% 11.96/8.25 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7395,plain,
% 11.96/8.25 ((node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1))) <=> (node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7396,plain,
% 11.96/8.25 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1)))),
% 11.96/8.25 inference(monotonicity,[status(thm)],[7395])).
% 11.96/8.25 tff(7397,plain,
% 11.96/8.25 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1))),
% 11.96/8.25 inference(transitivity,[status(thm)],[7396, 7394])).
% 11.96/8.25 tff(7398,plain,
% 11.96/8.25 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s0) | node115(c_s, s0) | node116(c_s, s0) | node117(c_s, s0) | node118(c_s, s0) | node119(c_s, s0) | node120(c_s, s0, s1) | (~node121(c_s, s0, s1)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7399,plain,
% 11.96/8.25 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node115(c_s, s0) | node114(c_s, s0) | node119(c_s, s0) | node117(c_s, s0) | node116(c_s, s0) | (~node121(c_s, s0, s1)) | node118(c_s, s0) | node120(c_s, s0, s1)),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 11.96/8.25 tff(7400,plain,
% 11.96/8.25 (node120(c_s, s0, s1)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7399, 7393, 7383, 7372, 7368, 7346, 7312, 7290, 7268])).
% 11.96/8.25 tff(7401,plain,
% 11.96/8.25 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7402,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7401])).
% 11.96/8.25 tff(7403,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7404,plain,
% 11.96/8.25 (^[V: $i, Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V))))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7405,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7404])).
% 11.96/8.25 tff(7406,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : (((~m_state_v_PM(J0, Y, V)) | m_state_v_PM(J0, X, V)) | (~node120(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_19')).
% 11.96/8.25 tff(7407,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 11.96/8.25 tff(7408,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7407, 7403])).
% 11.96/8.25 tff(7409,plain,(
% 11.96/8.25 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(skolemize,[status(sab)],[7408])).
% 11.96/8.25 tff(7410,plain,
% 11.96/8.25 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7409, 7402])).
% 11.96/8.25 tff(7411,plain,
% 11.96/8.25 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7412,plain,
% 11.96/8.25 (((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down))) <=> (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7413,plain,
% 11.96/8.25 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1))))),
% 11.96/8.25 inference(monotonicity,[status(thm)],[7412])).
% 11.96/8.25 tff(7414,plain,
% 11.96/8.25 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1)))),
% 11.96/8.25 inference(transitivity,[status(thm)],[7413, 7411])).
% 11.96/8.25 tff(7415,plain,
% 11.96/8.25 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7416,plain,
% 11.96/8.25 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_down) | (~m_state_v_PM(c_s, s1, c_down)) | (~node120(c_s, s0, s1))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 11.96/8.25 tff(7417,plain,
% 11.96/8.25 (~m_state_v_PM(c_s, s1, c_down)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7416, 7410, 7357, 7400])).
% 11.96/8.25 tff(7418,plain,
% 11.96/8.25 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7419,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1)))),
% 11.96/8.25 inference(quant_inst,[status(thm)],[])).
% 11.96/8.25 tff(7420,plain,
% 11.96/8.25 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s1, c_down) | (~node119(c_s, s1))),
% 11.96/8.25 inference(modus_ponens,[status(thm)],[7419, 7418])).
% 11.96/8.25 tff(7421,plain,
% 11.96/8.25 (~node119(c_s, s1)),
% 11.96/8.25 inference(unit_resolution,[status(thm)],[7420, 7364, 7417])).
% 11.96/8.25 tff(7422,plain,
% 11.96/8.25 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)))),
% 11.96/8.25 inference(bind,[status(th)],[])).
% 11.96/8.25 tff(7423,plain,
% 11.96/8.25 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.25 inference(quant_intro,[status(thm)],[7422])).
% 11.96/8.25 tff(7424,plain,
% 11.96/8.25 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.25 inference(rewrite,[status(thm)],[])).
% 11.96/8.25 tff(7425,plain,
% 11.96/8.25 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7426,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7425])).
% 11.96/8.26 tff(7427,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node56(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_115')).
% 11.96/8.26 tff(7428,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 11.96/8.26 tff(7429,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7428, 7424])).
% 11.96/8.26 tff(7430,plain,(
% 11.96/8.26 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7429])).
% 11.96/8.26 tff(7431,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7430, 7423])).
% 11.96/8.26 tff(7432,plain,
% 11.96/8.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7433,plain,
% 11.96/8.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7434,plain,
% 11.96/8.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s0, s1)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 11.96/8.26 tff(7435,plain,
% 11.96/8.26 (node56(c_s, s0, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7434, 62, 7431, 49])).
% 11.96/8.26 tff(7436,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7437,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7436])).
% 11.96/8.26 tff(7438,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7439,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_106')).
% 11.96/8.26 tff(7440,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 11.96/8.26 tff(7441,plain,(
% 11.96/8.26 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7440])).
% 11.96/8.26 tff(7442,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7441, 7437])).
% 11.96/8.26 tff(7443,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7444,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7445,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node53(c_s, s0))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 11.96/8.26 tff(7446,plain,
% 11.96/8.26 (~node53(c_s, s0)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7445, 7442, 7335])).
% 11.96/8.26 tff(7447,plain,
% 11.96/8.26 (^[I0: $i] : refl(m_state_v_press_status(I0, s0, c_pressatbot) <=> m_state_v_press_status(I0, s0, c_pressatbot))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7448,plain,
% 11.96/8.26 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot) <=> ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7447])).
% 11.96/8.26 tff(7449,plain,
% 11.96/8.26 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot) <=> ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7450,axiom,(![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_98')).
% 11.96/8.26 tff(7451,plain,
% 11.96/8.26 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 11.96/8.26 tff(7452,plain,(
% 11.96/8.26 ![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.96/8.26 inference(skolemize,[status(sab)],[7451])).
% 11.96/8.26 tff(7453,plain,
% 11.96/8.26 (![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7452, 7448])).
% 11.96/8.26 tff(7454,plain,
% 11.96/8.26 ((~![I0: $i] : m_state_v_press_status(I0, s0, c_pressatbot)) | m_state_v_press_status(c_s, s0, c_pressatbot)),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7455,plain,
% 11.96/8.26 (m_state_v_press_status(c_s, s0, c_pressatbot)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7454, 7453])).
% 11.96/8.26 tff(7456,plain,
% 11.96/8.26 (^[I0: $i, X: $i] : refl(((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7457,plain,
% 11.96/8.26 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7456])).
% 11.96/8.26 tff(7458,plain,
% 11.96/8.26 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot))) <=> ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7459,axiom,(![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_76')).
% 11.96/8.26 tff(7460,plain,
% 11.96/8.26 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 11.96/8.26 tff(7461,plain,(
% 11.96/8.26 ![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7460])).
% 11.96/8.26 tff(7462,plain,
% 11.96/8.26 (![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7461, 7457])).
% 11.96/8.26 tff(7463,plain,
% 11.96/8.26 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7464,plain,
% 11.96/8.26 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7465,plain,
% 11.96/8.26 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s0, c_pressatmid)) | (~m_state_v_press_status(c_s, s0, c_pressatbot))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7464, 7463])).
% 11.96/8.26 tff(7466,plain,
% 11.96/8.26 (~m_state_v_press_status(c_s, s0, c_pressatmid)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7465, 7462, 7455])).
% 11.96/8.26 tff(7467,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : refl((m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7468,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7467])).
% 11.96/8.26 tff(7469,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7470,axiom,(![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_109')).
% 11.96/8.26 tff(7471,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 11.96/8.26 tff(7472,plain,(
% 11.96/8.26 ![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7471])).
% 11.96/8.26 tff(7473,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7472, 7468])).
% 11.96/8.26 tff(7474,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7475,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7476,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s0, c_pressatmid) | (~node54(c_s, s0))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 11.96/8.26 tff(7477,plain,
% 11.96/8.26 (~node54(c_s, s0)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7476, 7473, 7466])).
% 11.96/8.26 tff(7478,plain,
% 11.96/8.26 (^[Y: $i, X: $i, J0: $i] : refl((node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7479,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7478])).
% 11.96/8.26 tff(7480,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7481,plain,
% 11.96/8.26 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y))), ((((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> ((node53(J0, X) | node54(J0, X) | node55(J0, X, Y)) | (~node56(J0, X, Y))))), rewrite(((node53(J0, X) | node54(J0, X) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))), ((((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7482,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7481])).
% 11.96/8.26 tff(7483,axiom,(![Y: $i, X: $i, J0: $i] : (((node53(J0, X) | node54(J0, X)) | node55(J0, X, Y)) | (~node56(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_114')).
% 11.96/8.26 tff(7484,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 11.96/8.26 tff(7485,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7484, 7480])).
% 11.96/8.26 tff(7486,plain,(
% 11.96/8.26 ![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7485])).
% 11.96/8.26 tff(7487,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7486, 7479])).
% 11.96/8.26 tff(7488,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7489,plain,
% 11.96/8.26 ((node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1))) <=> (node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7490,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1)))),
% 11.96/8.26 inference(monotonicity,[status(thm)],[7489])).
% 11.96/8.26 tff(7491,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1))),
% 11.96/8.26 inference(transitivity,[status(thm)],[7490, 7488])).
% 11.96/8.26 tff(7492,plain,
% 11.96/8.26 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s0) | node54(c_s, s0) | node55(c_s, s0, s1) | (~node56(c_s, s0, s1)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7493,plain,
% 11.96/8.26 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s0) | node53(c_s, s0) | (~node56(c_s, s0, s1)) | node55(c_s, s0, s1)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 11.96/8.26 tff(7494,plain,
% 11.96/8.26 (node55(c_s, s0, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7493, 7487, 7477, 7446, 7435])).
% 11.96/8.26 tff(7495,plain,
% 11.96/8.26 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7496,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7495])).
% 11.96/8.26 tff(7497,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7498,plain,
% 11.96/8.26 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y))) <=> (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7499,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7498])).
% 11.96/8.26 tff(7500,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_midPosP(J0, Y)) | m_state_v_midPosP(J0, X)) | (~node55(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_111')).
% 11.96/8.26 tff(7501,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 11.96/8.26 tff(7502,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7501, 7497])).
% 11.96/8.26 tff(7503,plain,(
% 11.96/8.26 ![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7502])).
% 11.96/8.26 tff(7504,plain,
% 11.96/8.26 (![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7503, 7496])).
% 11.96/8.26 tff(7505,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7506,plain,
% 11.96/8.26 ((m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1))) <=> (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7507,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1))))),
% 11.96/8.26 inference(monotonicity,[status(thm)],[7506])).
% 11.96/8.26 tff(7508,plain,
% 11.96/8.26 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1)))),
% 11.96/8.26 inference(transitivity,[status(thm)],[7507, 7505])).
% 11.96/8.26 tff(7509,plain,
% 11.96/8.26 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s0) | (~node55(c_s, s0, s1)) | (~m_state_v_midPosP(c_s, s1)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7510,plain,
% 11.96/8.26 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s0) | (~m_state_v_midPosP(c_s, s1)) | (~node55(c_s, s0, s1))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 11.96/8.26 tff(7511,plain,
% 11.96/8.26 (~m_state_v_midPosP(c_s, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7510, 7504, 7279, 7494])).
% 11.96/8.26 tff(7512,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node115(J0, X))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7513,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7512])).
% 11.96/8.26 tff(7514,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7515,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_6')).
% 11.96/8.26 tff(7516,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 11.96/8.26 tff(7517,plain,(
% 11.96/8.26 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7516])).
% 11.96/8.26 tff(7518,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7517, 7513])).
% 11.96/8.26 tff(7519,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7520,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7521,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node115(c_s, s1))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 11.96/8.26 tff(7522,plain,
% 11.96/8.26 (~node115(c_s, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7521, 7518, 7511])).
% 11.96/8.26 tff(7523,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7524,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7525,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node116(c_s, s1))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 11.96/8.26 tff(7526,plain,
% 11.96/8.26 (~node116(c_s, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7525, 7286, 7511])).
% 11.96/8.26 tff(7527,plain,
% 11.96/8.26 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7528,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7527])).
% 11.96/8.26 tff(7529,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7530,plain,
% 11.96/8.26 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7531,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7530])).
% 11.96/8.26 tff(7532,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node52(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_104')).
% 11.96/8.26 tff(7533,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7532, 7531])).
% 11.96/8.26 tff(7534,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7533, 7529])).
% 11.96/8.26 tff(7535,plain,(
% 11.96/8.26 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7534])).
% 11.96/8.26 tff(7536,plain,
% 11.96/8.26 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7535, 7528])).
% 11.96/8.26 tff(7537,plain,
% 11.96/8.26 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7538,plain,
% 11.96/8.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7539,plain,
% 11.96/8.26 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s0, s1)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 11.96/8.26 tff(7540,plain,
% 11.96/8.26 (node52(c_s, s0, s1)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7539, 62, 7536, 49])).
% 11.96/8.26 tff(7541,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7542,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7541])).
% 11.96/8.26 tff(7543,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7544,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_95')).
% 11.96/8.26 tff(7545,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 11.96/8.26 tff(7546,plain,(
% 11.96/8.26 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7545])).
% 11.96/8.26 tff(7547,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7546, 7542])).
% 11.96/8.26 tff(7548,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node49(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node49(c_s, s0)))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7549,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node49(c_s, s0)))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7550,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node49(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node49(c_s, s0))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 11.96/8.26 tff(7551,plain,
% 11.96/8.26 (~node49(c_s, s0)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7550, 7547, 7357])).
% 11.96/8.26 tff(7552,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : refl(((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7553,plain,
% 11.96/8.26 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7552])).
% 11.96/8.26 tff(7554,plain,
% 11.96/8.26 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7555,plain,
% 11.96/8.26 (^[X: $i, J0: $i] : rewrite((m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X))) <=> ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid)))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.26 tff(7556,plain,
% 11.96/8.26 (![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X))) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(quant_intro,[status(thm)],[7555])).
% 11.96/8.26 tff(7557,axiom,(![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node50(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_98')).
% 11.96/8.26 tff(7558,plain,
% 11.96/8.26 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 11.96/8.26 tff(7559,plain,
% 11.96/8.26 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7558, 7554])).
% 11.96/8.26 tff(7560,plain,(
% 11.96/8.26 ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(skolemize,[status(sab)],[7559])).
% 11.96/8.26 tff(7561,plain,
% 11.96/8.26 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7560, 7553])).
% 11.96/8.26 tff(7562,plain,
% 11.96/8.26 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.96/8.26 inference(rewrite,[status(thm)],[])).
% 11.96/8.26 tff(7563,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid))),
% 11.96/8.26 inference(quant_inst,[status(thm)],[])).
% 11.96/8.26 tff(7564,plain,
% 11.96/8.26 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s0)) | m_state_v_press_status(c_s, s0, c_pressatmid)),
% 11.96/8.26 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 11.96/8.26 tff(7565,plain,
% 11.96/8.26 (~node50(c_s, s0)),
% 11.96/8.26 inference(unit_resolution,[status(thm)],[7564, 7561, 7466])).
% 11.96/8.26 tff(7566,plain,
% 11.96/8.26 (^[Y: $i, X: $i, J0: $i] : refl((node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))))),
% 11.96/8.26 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7567,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7566])).
% 11.96/8.27 tff(7568,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7569,plain,
% 11.96/8.27 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y))), ((((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> ((node49(J0, X) | node50(J0, X) | node51(J0, X, Y)) | (~node52(J0, X, Y))))), rewrite(((node49(J0, X) | node50(J0, X) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))), ((((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7570,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7569])).
% 11.96/8.27 tff(7571,axiom,(![Y: $i, X: $i, J0: $i] : (((node49(J0, X) | node50(J0, X)) | node51(J0, X, Y)) | (~node52(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_103')).
% 11.96/8.27 tff(7572,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 11.96/8.27 tff(7573,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7572, 7568])).
% 11.96/8.27 tff(7574,plain,(
% 11.96/8.27 ![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(skolemize,[status(sab)],[7573])).
% 11.96/8.27 tff(7575,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7574, 7567])).
% 11.96/8.27 tff(7576,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7577,plain,
% 11.96/8.27 ((node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1))) <=> (node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7578,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1)))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7577])).
% 11.96/8.27 tff(7579,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1))),
% 11.96/8.27 inference(transitivity,[status(thm)],[7578, 7576])).
% 11.96/8.27 tff(7580,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s0) | node50(c_s, s0) | node51(c_s, s0, s1) | (~node52(c_s, s0, s1)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7581,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s0) | node49(c_s, s0) | (~node52(c_s, s0, s1)) | node51(c_s, s0, s1)),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 11.96/8.27 tff(7582,plain,
% 11.96/8.27 (node51(c_s, s0, s1)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7581, 7575, 7565, 7551, 7540])).
% 11.96/8.27 tff(7583,plain,
% 11.96/8.27 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7584,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7583])).
% 11.96/8.27 tff(7585,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7586,plain,
% 11.96/8.27 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y))) <=> (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7587,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7586])).
% 11.96/8.27 tff(7588,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_topPosP(J0, Y)) | m_state_v_topPosP(J0, X)) | (~node51(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_100')).
% 11.96/8.27 tff(7589,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 11.96/8.27 tff(7590,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7589, 7585])).
% 11.96/8.27 tff(7591,plain,(
% 11.96/8.27 ![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(skolemize,[status(sab)],[7590])).
% 11.96/8.27 tff(7592,plain,
% 11.96/8.27 (![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7591, 7584])).
% 11.96/8.27 tff(7593,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7594,plain,
% 11.96/8.27 ((m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1))) <=> (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7595,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1))))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7594])).
% 11.96/8.27 tff(7596,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1)))),
% 11.96/8.27 inference(transitivity,[status(thm)],[7595, 7593])).
% 11.96/8.27 tff(7597,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s0) | (~node51(c_s, s0, s1)) | (~m_state_v_topPosP(c_s, s1)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7598,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s0) | (~m_state_v_topPosP(c_s, s1)) | (~node51(c_s, s0, s1))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 11.96/8.27 tff(7599,plain,
% 11.96/8.27 (~m_state_v_topPosP(c_s, s1)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7598, 7592, 7301, 7582])).
% 11.96/8.27 tff(7600,plain,
% 11.96/8.27 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node117(J0, X))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7601,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7600])).
% 11.96/8.27 tff(7602,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7603,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_12')).
% 11.96/8.27 tff(7604,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7603, 7602])).
% 11.96/8.27 tff(7605,plain,(
% 11.96/8.27 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.96/8.27 inference(skolemize,[status(sab)],[7604])).
% 11.96/8.27 tff(7606,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7605, 7601])).
% 11.96/8.27 tff(7607,plain,
% 11.96/8.27 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7608,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7609,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node117(c_s, s1))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 11.96/8.27 tff(7610,plain,
% 11.96/8.27 (~node117(c_s, s1)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7609, 7606, 7599])).
% 11.96/8.27 tff(7611,plain,
% 11.96/8.27 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7612,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7613,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node118(c_s, s1))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 11.96/8.27 tff(7614,plain,
% 11.96/8.27 (~node118(c_s, s1)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7613, 7308, 7599])).
% 11.96/8.27 tff(7615,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7616,plain,
% 11.96/8.27 ((node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2))) <=> (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7617,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2)))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7616])).
% 11.96/8.27 tff(7618,plain,
% 11.96/8.27 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2))),
% 11.96/8.27 inference(transitivity,[status(thm)],[7617, 7615])).
% 11.96/8.27 tff(7619,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node117(c_s, s1) | node118(c_s, s1) | node119(c_s, s1) | node120(c_s, s1, s2) | (~node121(c_s, s1, s2)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7620,plain,
% 11.96/8.27 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node119(c_s, s1) | node117(c_s, s1) | node115(c_s, s1) | node116(c_s, s1) | node114(c_s, s1) | node118(c_s, s1) | (~node121(c_s, s1, s2)) | node120(c_s, s1, s2)),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 11.96/8.27 tff(7621,plain,
% 11.96/8.27 (node120(c_s, s1, s2)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7620, 7393, 7614, 7610, 7526, 7522, 7421, 7261, 7183])).
% 11.96/8.27 tff(7622,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7623,plain,
% 11.96/8.27 (((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up))) <=> (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7624,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1))))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7623])).
% 11.96/8.27 tff(7625,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1)))),
% 11.96/8.27 inference(transitivity,[status(thm)],[7624, 7622])).
% 11.96/8.27 tff(7626,plain,
% 11.96/8.27 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s0, s1)) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7627,plain,
% 11.96/8.27 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s0, c_up) | (~m_state_v_PM(c_s, s1, c_up)) | (~node120(c_s, s0, s1))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 11.96/8.27 tff(7628,plain,
% 11.96/8.27 (~m_state_v_PM(c_s, s1, c_up)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7627, 7410, 7335, 7400])).
% 11.96/8.27 tff(7629,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7630,plain,
% 11.96/8.27 (((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up))) <=> ((~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7631,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2))))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7630])).
% 11.96/8.27 tff(7632,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2)))),
% 11.96/8.27 inference(transitivity,[status(thm)],[7631, 7629])).
% 11.96/8.27 tff(7633,plain,
% 11.96/8.27 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_up) | (~m_state_v_PM(c_s, s2, c_up)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7634,plain,
% 11.96/8.27 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_up)) | m_state_v_PM(c_s, s1, c_up) | (~node120(c_s, s1, s2))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7633, 7632])).
% 11.96/8.27 tff(7635,plain,
% 11.96/8.27 (~m_state_v_PM(c_s, s2, c_up)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7634, 7410, 7628, 7621])).
% 11.96/8.27 tff(7636,plain,
% 11.96/8.27 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7637,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7638,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node53(c_s, s2))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7637, 7636])).
% 11.96/8.27 tff(7639,plain,
% 11.96/8.27 (~node53(c_s, s2)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7638, 7442, 7635])).
% 11.96/8.27 tff(7640,plain,
% 11.96/8.27 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7641,plain,
% 11.96/8.27 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7642,plain,
% 11.96/8.27 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s2, s3)),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 11.96/8.27 tff(7643,plain,
% 11.96/8.27 (node56(c_s, s2, s3)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7642, 62, 7431, 480])).
% 11.96/8.27 tff(7644,plain,
% 11.96/8.27 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node65(J0, X))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7645,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7644])).
% 11.96/8.27 tff(7646,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7647,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_137')).
% 11.96/8.27 tff(7648,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 11.96/8.27 tff(7649,plain,(
% 11.96/8.27 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.96/8.27 inference(skolemize,[status(sab)],[7648])).
% 11.96/8.27 tff(7650,plain,
% 11.96/8.27 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7649, 7645])).
% 11.96/8.27 tff(7651,plain,
% 11.96/8.27 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7652,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1)))),
% 11.96/8.27 inference(quant_inst,[status(thm)],[])).
% 11.96/8.27 tff(7653,plain,
% 11.96/8.27 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node65(c_s, s1))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 11.96/8.27 tff(7654,plain,
% 11.96/8.27 (~node65(c_s, s1)),
% 11.96/8.27 inference(unit_resolution,[status(thm)],[7653, 7650, 7511])).
% 11.96/8.27 tff(7655,plain,
% 11.96/8.27 (^[V: $i, Y: $i, X: $i, J0: $i] : refl(((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7656,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7655])).
% 11.96/8.27 tff(7657,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7658,plain,
% 11.96/8.27 (^[V: $i, Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) <=> ((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))), (((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> (((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) | (~node120(J0, X, Y))))), rewrite((((~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V)) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))), (((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))))),
% 11.96/8.27 inference(bind,[status(th)],[])).
% 11.96/8.27 tff(7659,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y))) <=> ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(quant_intro,[status(thm)],[7658])).
% 11.96/8.27 tff(7660,axiom,(![V: $i, Y: $i, X: $i, J0: $i] : ((m_state_v_PM(J0, Y, V) | (~m_state_v_PM(J0, X, V))) | (~node120(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_18')).
% 11.96/8.27 tff(7661,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 11.96/8.27 tff(7662,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7661, 7657])).
% 11.96/8.27 tff(7663,plain,(
% 11.96/8.27 ![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(skolemize,[status(sab)],[7662])).
% 11.96/8.27 tff(7664,plain,
% 11.96/8.27 (![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))),
% 11.96/8.27 inference(modus_ponens,[status(thm)],[7663, 7656])).
% 11.96/8.27 tff(7665,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7666,plain,
% 11.96/8.27 (((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle)) <=> ((~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1)))),
% 11.96/8.27 inference(rewrite,[status(thm)],[])).
% 11.96/8.27 tff(7667,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1))))),
% 11.96/8.27 inference(monotonicity,[status(thm)],[7666])).
% 11.96/8.27 tff(7668,plain,
% 11.96/8.27 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1)))),
% 11.96/8.28 inference(transitivity,[status(thm)],[7667, 7665])).
% 11.96/8.28 tff(7669,plain,
% 11.96/8.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s0, s1)) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle))),
% 11.96/8.28 inference(quant_inst,[status(thm)],[])).
% 11.96/8.28 tff(7670,plain,
% 11.96/8.28 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (~m_state_v_PM(c_s, s0, c_idle)) | m_state_v_PM(c_s, s1, c_idle) | (~node120(c_s, s0, s1))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 11.96/8.28 tff(7671,plain,
% 11.96/8.28 (m_state_v_PM(c_s, s1, c_idle)),
% 11.96/8.28 inference(unit_resolution,[status(thm)],[7670, 7664, 7321, 7400])).
% 11.96/8.28 tff(7672,plain,
% 11.96/8.28 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)))),
% 11.96/8.28 inference(bind,[status(th)],[])).
% 11.96/8.28 tff(7673,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(quant_intro,[status(thm)],[7672])).
% 11.96/8.28 tff(7674,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7675,plain,
% 11.96/8.28 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))))),
% 11.96/8.28 inference(bind,[status(th)],[])).
% 11.96/8.28 tff(7676,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(quant_intro,[status(thm)],[7675])).
% 11.96/8.28 tff(7677,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node60(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_125')).
% 11.96/8.28 tff(7678,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 11.96/8.28 tff(7679,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7678, 7674])).
% 11.96/8.28 tff(7680,plain,(
% 11.96/8.28 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(skolemize,[status(sab)],[7679])).
% 11.96/8.28 tff(7681,plain,
% 11.96/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7680, 7673])).
% 11.96/8.28 tff(7682,plain,
% 11.96/8.28 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7683,plain,
% 11.96/8.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1))),
% 11.96/8.28 inference(quant_inst,[status(thm)],[])).
% 11.96/8.28 tff(7684,plain,
% 11.96/8.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s0, s1)),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 11.96/8.28 tff(7685,plain,
% 11.96/8.28 (node60(c_s, s0, s1)),
% 11.96/8.28 inference(unit_resolution,[status(thm)],[7684, 62, 7681, 49])).
% 11.96/8.28 tff(7686,plain,
% 11.96/8.28 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))))),
% 11.96/8.28 inference(bind,[status(th)],[])).
% 11.96/8.28 tff(7687,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.96/8.28 inference(quant_intro,[status(thm)],[7686])).
% 11.96/8.28 tff(7688,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7689,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_117')).
% 11.96/8.28 tff(7690,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 11.96/8.28 tff(7691,plain,(
% 11.96/8.28 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.96/8.28 inference(skolemize,[status(sab)],[7690])).
% 11.96/8.28 tff(7692,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7691, 7687])).
% 11.96/8.28 tff(7693,plain,
% 11.96/8.28 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7694,plain,
% 11.96/8.28 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0)))),
% 11.96/8.28 inference(quant_inst,[status(thm)],[])).
% 11.96/8.28 tff(7695,plain,
% 11.96/8.28 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s0, c_up) | (~node57(c_s, s0))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 11.96/8.28 tff(7696,plain,
% 11.96/8.28 (~node57(c_s, s0)),
% 11.96/8.28 inference(unit_resolution,[status(thm)],[7695, 7692, 7335])).
% 11.96/8.28 tff(7697,plain,
% 11.96/8.28 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))))),
% 11.96/8.28 inference(bind,[status(th)],[])).
% 11.96/8.28 tff(7698,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 11.96/8.28 inference(quant_intro,[status(thm)],[7697])).
% 11.96/8.28 tff(7699,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7700,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_119')).
% 11.96/8.28 tff(7701,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 11.96/8.28 tff(7702,plain,(
% 11.96/8.28 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 11.96/8.28 inference(skolemize,[status(sab)],[7701])).
% 11.96/8.28 tff(7703,plain,
% 11.96/8.28 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7702, 7698])).
% 11.96/8.28 tff(7704,plain,
% 11.96/8.28 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node58(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node58(c_s, s0)))),
% 11.96/8.28 inference(rewrite,[status(thm)],[])).
% 11.96/8.28 tff(7705,plain,
% 11.96/8.28 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | (m_state_v_PM(c_s, s0, c_down) | (~node58(c_s, s0)))),
% 11.96/8.28 inference(quant_inst,[status(thm)],[])).
% 11.96/8.28 tff(7706,plain,
% 11.96/8.28 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node58(J0, X)))) | m_state_v_PM(c_s, s0, c_down) | (~node58(c_s, s0))),
% 11.96/8.28 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 11.96/8.28 tff(7707,plain,
% 11.96/8.28 (~node58(c_s, s0)),
% 11.96/8.28 inference(unit_resolution,[status(thm)],[7706, 7703, 7357])).
% 11.96/8.28 tff(7708,plain,
% 11.96/8.28 (^[Y: $i, X: $i, J0: $i] : refl((node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))))),
% 11.96/8.28 inference(bind,[status(th)],[])).
% 11.96/8.28 tff(7709,plain,
% 11.96/8.28 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 11.96/8.28 inference(quant_intro,[status(thm)],[7708])).
% 11.96/8.28 tff(7710,plain,
% 11.96/8.28 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7711,plain,
% 12.02/8.28 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite(((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y))), ((((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> ((node57(J0, X) | node58(J0, X) | node59(J0, X, Y)) | (~node60(J0, X, Y))))), rewrite(((node57(J0, X) | node58(J0, X) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))), ((((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7712,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : (((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7711])).
% 12.02/8.28 tff(7713,axiom,(![Y: $i, X: $i, J0: $i] : (((node57(J0, X) | node58(J0, X)) | node59(J0, X, Y)) | (~node60(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_124')).
% 12.02/8.28 tff(7714,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 12.02/8.28 tff(7715,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7714, 7710])).
% 12.02/8.28 tff(7716,plain,(
% 12.02/8.28 ![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(skolemize,[status(sab)],[7715])).
% 12.02/8.28 tff(7717,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7716, 7709])).
% 12.02/8.28 tff(7718,plain,
% 12.02/8.28 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7719,plain,
% 12.02/8.28 ((node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1))) <=> (node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7720,plain,
% 12.02/8.28 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1))))),
% 12.02/8.28 inference(monotonicity,[status(thm)],[7719])).
% 12.02/8.28 tff(7721,plain,
% 12.02/8.28 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))),
% 12.02/8.28 inference(transitivity,[status(thm)],[7720, 7718])).
% 12.02/8.28 tff(7722,plain,
% 12.02/8.28 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s0) | node58(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1)))),
% 12.02/8.28 inference(quant_inst,[status(thm)],[])).
% 12.02/8.28 tff(7723,plain,
% 12.02/8.28 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s0) | node57(c_s, s0) | node59(c_s, s0, s1) | (~node60(c_s, s0, s1))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 12.02/8.28 tff(7724,plain,
% 12.02/8.28 (node59(c_s, s0, s1)),
% 12.02/8.28 inference(unit_resolution,[status(thm)],[7723, 7717, 7707, 7696, 7685])).
% 12.02/8.28 tff(7725,plain,
% 12.02/8.28 (^[I0: $i] : refl(m_state_v_botPosP(I0, s0) <=> m_state_v_botPosP(I0, s0))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7726,plain,
% 12.02/8.28 (![I0: $i] : m_state_v_botPosP(I0, s0) <=> ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7725])).
% 12.02/8.28 tff(7727,plain,
% 12.02/8.28 (![I0: $i] : m_state_v_botPosP(I0, s0) <=> ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7728,axiom,(![I0: $i] : m_state_v_botPosP(I0, s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_101')).
% 12.02/8.28 tff(7729,plain,
% 12.02/8.28 (![I0: $i] : m_state_v_botPosP(I0, s0)),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 12.02/8.28 tff(7730,plain,(
% 12.02/8.28 ![I0: $i] : m_state_v_botPosP(I0, s0)),
% 12.02/8.28 inference(skolemize,[status(sab)],[7729])).
% 12.02/8.28 tff(7731,plain,
% 12.02/8.28 (![I0: $i] : m_state_v_botPosP(I0, s0)),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7730, 7726])).
% 12.02/8.28 tff(7732,plain,
% 12.02/8.28 ((~![I0: $i] : m_state_v_botPosP(I0, s0)) | m_state_v_botPosP(c_s, s0)),
% 12.02/8.28 inference(quant_inst,[status(thm)],[])).
% 12.02/8.28 tff(7733,plain,
% 12.02/8.28 (m_state_v_botPosP(c_s, s0)),
% 12.02/8.28 inference(unit_resolution,[status(thm)],[7732, 7731])).
% 12.02/8.28 tff(7734,plain,
% 12.02/8.28 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7735,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7734])).
% 12.02/8.28 tff(7736,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7737,plain,
% 12.02/8.28 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y))), (((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> (((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y)) | (~node59(J0, X, Y))))), rewrite((((~m_state_v_botPosP(J0, X)) | m_state_v_botPosP(J0, Y)) | (~node59(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))), (((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7738,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7737])).
% 12.02/8.28 tff(7739,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_botPosP(J0, Y) | (~m_state_v_botPosP(J0, X))) | (~node59(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_120')).
% 12.02/8.28 tff(7740,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 12.02/8.28 tff(7741,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7740, 7736])).
% 12.02/8.28 tff(7742,plain,(
% 12.02/8.28 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(skolemize,[status(sab)],[7741])).
% 12.02/8.28 tff(7743,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7742, 7735])).
% 12.02/8.28 tff(7744,plain,
% 12.02/8.28 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7745,plain,
% 12.02/8.28 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1))),
% 12.02/8.28 inference(quant_inst,[status(thm)],[])).
% 12.02/8.28 tff(7746,plain,
% 12.02/8.28 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s0)) | (~node59(c_s, s0, s1)) | m_state_v_botPosP(c_s, s1)),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 12.02/8.28 tff(7747,plain,
% 12.02/8.28 (m_state_v_botPosP(c_s, s1)),
% 12.02/8.28 inference(unit_resolution,[status(thm)],[7746, 7743, 7733, 7724])).
% 12.02/8.28 tff(7748,plain,
% 12.02/8.28 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node64(J0, X))))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7749,plain,
% 12.02/8.28 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7748])).
% 12.02/8.28 tff(7750,plain,
% 12.02/8.28 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7751,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_135')).
% 12.02/8.28 tff(7752,plain,
% 12.02/8.28 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 12.02/8.28 tff(7753,plain,(
% 12.02/8.28 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 12.02/8.28 inference(skolemize,[status(sab)],[7752])).
% 12.02/8.28 tff(7754,plain,
% 12.02/8.28 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7753, 7749])).
% 12.02/8.28 tff(7755,plain,
% 12.02/8.28 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7756,plain,
% 12.02/8.28 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1)))),
% 12.02/8.28 inference(quant_inst,[status(thm)],[])).
% 12.02/8.28 tff(7757,plain,
% 12.02/8.28 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node64(c_s, s1))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 12.02/8.28 tff(7758,plain,
% 12.02/8.28 (~node64(c_s, s1)),
% 12.02/8.28 inference(unit_resolution,[status(thm)],[7757, 7754, 7599])).
% 12.02/8.28 tff(7759,plain,
% 12.02/8.28 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7760,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7759])).
% 12.02/8.28 tff(7761,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7762,plain,
% 12.02/8.28 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))), (((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7763,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7762])).
% 12.02/8.28 tff(7764,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node68(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_147')).
% 12.02/8.28 tff(7765,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 12.02/8.28 tff(7766,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7765, 7761])).
% 12.02/8.28 tff(7767,plain,(
% 12.02/8.28 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(skolemize,[status(sab)],[7766])).
% 12.02/8.28 tff(7768,plain,
% 12.02/8.28 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7767, 7760])).
% 12.02/8.28 tff(7769,plain,
% 12.02/8.28 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7770,plain,
% 12.02/8.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2))),
% 12.02/8.28 inference(quant_inst,[status(thm)],[])).
% 12.02/8.28 tff(7771,plain,
% 12.02/8.28 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s1, s2)),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7770, 7769])).
% 12.02/8.28 tff(7772,plain,
% 12.02/8.28 (node68(c_s, s1, s2)),
% 12.02/8.28 inference(unit_resolution,[status(thm)],[7771, 62, 7768, 271])).
% 12.02/8.28 tff(7773,plain,
% 12.02/8.28 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7774,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7773])).
% 12.02/8.28 tff(7775,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7776,plain,
% 12.02/8.28 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X))), ((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X)) | (~m_state_v_PM(J0, X, c_idle))))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | node65(J0, X)) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X))), ((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)))), (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)) | m_state_v_press_status(J0, Y, c_pressatbot)))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X)) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot))), (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)))), ((((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> (((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))))), rewrite((((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))), ((((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))))),
% 12.02/8.28 inference(bind,[status(th)],[])).
% 12.02/8.28 tff(7777,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(quant_intro,[status(thm)],[7776])).
% 12.02/8.28 tff(7778,axiom,(![Y: $i, X: $i, J0: $i] : (((((node64(J0, X) | node65(J0, X)) | (~m_state_v_botPosP(J0, X))) | (~m_state_v_PM(J0, X, c_idle))) | m_state_v_press_status(J0, Y, c_pressatbot)) | (~node68(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_145')).
% 12.02/8.28 tff(7779,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 12.02/8.28 tff(7780,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7779, 7775])).
% 12.02/8.28 tff(7781,plain,(
% 12.02/8.28 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(skolemize,[status(sab)],[7780])).
% 12.02/8.28 tff(7782,plain,
% 12.02/8.28 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))),
% 12.02/8.28 inference(modus_ponens,[status(thm)],[7781, 7774])).
% 12.02/8.28 tff(7783,plain,
% 12.02/8.28 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 12.02/8.28 inference(rewrite,[status(thm)],[])).
% 12.02/8.28 tff(7784,plain,
% 12.02/8.28 (((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot)) <=> (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7785,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1)))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7784])).
% 12.02/8.29 tff(7786,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7785, 7783])).
% 12.02/8.29 tff(7787,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~m_state_v_PM(c_s, s1, c_idle)) | node65(c_s, s1) | (~node68(c_s, s1, s2)) | m_state_v_press_status(c_s, s2, c_pressatbot))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7788,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | (~node68(c_s, s1, s2)) | node65(c_s, s1)),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 12.02/8.29 tff(7789,plain,
% 12.02/8.29 (m_state_v_press_status(c_s, s2, c_pressatbot) | (~m_state_v_PM(c_s, s1, c_idle)) | (~m_state_v_botPosP(c_s, s1)) | node64(c_s, s1) | node65(c_s, s1)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7788, 7782, 7772])).
% 12.02/8.29 tff(7790,plain,
% 12.02/8.29 (m_state_v_press_status(c_s, s2, c_pressatbot)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7789, 7758, 7747, 7671, 7654])).
% 12.02/8.29 tff(7791,plain,
% 12.02/8.29 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7792,plain,
% 12.02/8.29 (((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot))) <=> ((~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7793,plain,
% 12.02/8.29 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid))))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7792])).
% 12.02/8.29 tff(7794,plain,
% 12.02/8.29 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid)))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7793, 7791])).
% 12.02/8.29 tff(7795,plain,
% 12.02/8.29 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s2, c_pressatmid)) | (~m_state_v_press_status(c_s, s2, c_pressatbot)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7796,plain,
% 12.02/8.29 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s2, c_pressatbot)) | (~m_state_v_press_status(c_s, s2, c_pressatmid))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 12.02/8.29 tff(7797,plain,
% 12.02/8.29 (~m_state_v_press_status(c_s, s2, c_pressatmid)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7796, 7462, 7790])).
% 12.02/8.29 tff(7798,plain,
% 12.02/8.29 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7799,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7800,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s2, c_pressatmid) | (~node54(c_s, s2))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 12.02/8.29 tff(7801,plain,
% 12.02/8.29 (~node54(c_s, s2)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7800, 7473, 7797])).
% 12.02/8.29 tff(7802,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7803,plain,
% 12.02/8.29 ((node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3))) <=> (node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7804,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3)))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7803])).
% 12.02/8.29 tff(7805,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7804, 7802])).
% 12.02/8.29 tff(7806,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s2) | node54(c_s, s2) | node55(c_s, s2, s3) | (~node56(c_s, s2, s3)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7807,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s2) | node53(c_s, s2) | (~node56(c_s, s2, s3)) | node55(c_s, s2, s3)),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 12.02/8.29 tff(7808,plain,
% 12.02/8.29 (node53(c_s, s2) | node55(c_s, s2, s3)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7807, 7487, 7801, 7643])).
% 12.02/8.29 tff(7809,plain,
% 12.02/8.29 (node55(c_s, s2, s3)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7808, 7639])).
% 12.02/8.29 tff(7810,plain,
% 12.02/8.29 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7811,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7812,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node53(c_s, s1))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 12.02/8.29 tff(7813,plain,
% 12.02/8.29 (~node53(c_s, s1)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7812, 7442, 7628])).
% 12.02/8.29 tff(7814,plain,
% 12.02/8.29 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node54(J0, X))))),
% 12.02/8.29 inference(bind,[status(th)],[])).
% 12.02/8.29 tff(7815,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 12.02/8.29 inference(quant_intro,[status(thm)],[7814])).
% 12.02/8.29 tff(7816,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7817,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_107')).
% 12.02/8.29 tff(7818,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 12.02/8.29 tff(7819,plain,(
% 12.02/8.29 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 12.02/8.29 inference(skolemize,[status(sab)],[7818])).
% 12.02/8.29 tff(7820,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7819, 7815])).
% 12.02/8.29 tff(7821,plain,
% 12.02/8.29 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7822,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7823,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s1) | (~node54(c_s, s1))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 12.02/8.29 tff(7824,plain,
% 12.02/8.29 (~node54(c_s, s1)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7823, 7820, 7511])).
% 12.02/8.29 tff(7825,plain,
% 12.02/8.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7826,plain,
% 12.02/8.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7827,plain,
% 12.02/8.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s1, s2)),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 12.02/8.29 tff(7828,plain,
% 12.02/8.29 (node56(c_s, s1, s2)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7827, 62, 7431, 271])).
% 12.02/8.29 tff(7829,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7830,plain,
% 12.02/8.29 ((node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2))) <=> (node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7831,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1)))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7830])).
% 12.02/8.29 tff(7832,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7831, 7829])).
% 12.02/8.29 tff(7833,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s1) | node54(c_s, s1) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7834,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node55(c_s, s1, s2) | (~node56(c_s, s1, s2)) | node54(c_s, s1) | node53(c_s, s1)),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 12.02/8.29 tff(7835,plain,
% 12.02/8.29 (node55(c_s, s1, s2) | node54(c_s, s1) | node53(c_s, s1)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7834, 7487, 7828])).
% 12.02/8.29 tff(7836,plain,
% 12.02/8.29 (node55(c_s, s1, s2)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7835, 7824, 7813])).
% 12.02/8.29 tff(7837,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7838,plain,
% 12.02/8.29 ((m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2))) <=> ((~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7839,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2))))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7838])).
% 12.02/8.29 tff(7840,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7839, 7837])).
% 12.02/8.29 tff(7841,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2)) | (~m_state_v_midPosP(c_s, s2)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7842,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s2)) | m_state_v_midPosP(c_s, s1) | (~node55(c_s, s1, s2))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7841, 7840])).
% 12.02/8.29 tff(7843,plain,
% 12.02/8.29 (~m_state_v_midPosP(c_s, s2)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7842, 7504, 7511, 7836])).
% 12.02/8.29 tff(7844,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7845,plain,
% 12.02/8.29 ((m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3))) <=> ((~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7846,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3))))),
% 12.02/8.29 inference(monotonicity,[status(thm)],[7845])).
% 12.02/8.29 tff(7847,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)))),
% 12.02/8.29 inference(transitivity,[status(thm)],[7846, 7844])).
% 12.02/8.29 tff(7848,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3)) | (~m_state_v_midPosP(c_s, s3)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7849,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s3)) | m_state_v_midPosP(c_s, s2) | (~node55(c_s, s2, s3))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 12.02/8.29 tff(7850,plain,
% 12.02/8.29 (~m_state_v_midPosP(c_s, s3)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7849, 7504, 7843, 7809])).
% 12.02/8.29 tff(7851,plain,
% 12.02/8.29 (^[X: $i, J0: $i] : refl((m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> (m_state_v_midPosP(J0, X) | (~node123(J0, X))))),
% 12.02/8.29 inference(bind,[status(th)],[])).
% 12.02/8.29 tff(7852,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 12.02/8.29 inference(quant_intro,[status(thm)],[7851])).
% 12.02/8.29 tff(7853,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7854,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_20')).
% 12.02/8.29 tff(7855,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 12.02/8.29 tff(7856,plain,(
% 12.02/8.29 ![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 12.02/8.29 inference(skolemize,[status(sab)],[7855])).
% 12.02/8.29 tff(7857,plain,
% 12.02/8.29 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7856, 7852])).
% 12.02/8.29 tff(7858,plain,
% 12.02/8.29 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7859,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7860,plain,
% 12.02/8.29 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node123(c_s, s3))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 12.02/8.29 tff(7861,plain,
% 12.02/8.29 (~node123(c_s, s3)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7860, 7857, 7850])).
% 12.02/8.29 tff(7862,plain,
% 12.02/8.29 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7863,plain,
% 12.02/8.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7864,plain,
% 12.02/8.29 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s3, s4)) | node131(c_s, s3, s4) | (~m_Robot_v_s(c_RB, c_s))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 12.02/8.29 tff(7865,plain,
% 12.02/8.29 (node131(c_s, s3, s4)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7864, 2729, 2726, 911])).
% 12.02/8.29 tff(7866,plain,
% 12.02/8.29 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7867,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4)))),
% 12.02/8.29 inference(quant_inst,[status(thm)],[])).
% 12.02/8.29 tff(7868,plain,
% 12.02/8.29 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4) | (~node131(c_s, s3, s4))),
% 12.02/8.29 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 12.02/8.29 tff(7869,plain,
% 12.02/8.29 (node122(c_s, s3) | node123(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7868, 2912, 7865])).
% 12.02/8.29 tff(7870,plain,
% 12.02/8.29 (node122(c_s, s3) | node124(c_s, s3) | node125(c_s, s3) | node126(c_s, s3) | node127(c_s, s3) | node128(c_s, s3) | node129(c_s, s3) | node130(c_s, s3, s4)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7869, 7861])).
% 12.02/8.29 tff(7871,plain,
% 12.02/8.29 (node130(c_s, s3, s4)),
% 12.02/8.29 inference(unit_resolution,[status(thm)],[7870, 7163, 7117, 7106, 7092, 7077, 7059, 7055])).
% 12.02/8.29 tff(7872,plain,
% 12.02/8.29 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7873,plain,
% 12.02/8.29 (((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend)) <=> ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 12.02/8.29 inference(rewrite,[status(thm)],[])).
% 12.02/8.29 tff(7874,plain,
% 12.02/8.29 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4))))),
% 12.02/8.30 inference(monotonicity,[status(thm)],[7873])).
% 12.02/8.30 tff(7875,plain,
% 12.02/8.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4)))),
% 12.02/8.30 inference(transitivity,[status(thm)],[7874, 7872])).
% 12.02/8.30 tff(7876,plain,
% 12.02/8.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s3, s4)) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7877,plain,
% 12.02/8.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s3, c_extend)) | m_state_v_A1M(c_s, s4, c_extend) | (~node130(c_s, s3, s4))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7876, 7875])).
% 12.02/8.30 tff(7878,plain,
% 12.02/8.30 (m_state_v_A1M(c_s, s4, c_extend)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7877, 2963, 7871, 5623])).
% 12.02/8.30 tff(7879,plain,
% 12.02/8.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7880,plain,
% 12.02/8.30 (((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle)) <=> (m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7881,plain,
% 12.02/8.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2))))),
% 12.02/8.30 inference(monotonicity,[status(thm)],[7880])).
% 12.02/8.30 tff(7882,plain,
% 12.02/8.30 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2)))),
% 12.02/8.30 inference(transitivity,[status(thm)],[7881, 7879])).
% 12.02/8.30 tff(7883,plain,
% 12.02/8.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s1, s2)) | (~m_state_v_PM(c_s, s1, c_idle)) | m_state_v_PM(c_s, s2, c_idle))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7884,plain,
% 12.02/8.30 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s2, c_idle) | (~m_state_v_PM(c_s, s1, c_idle)) | (~node120(c_s, s1, s2))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 12.02/8.30 tff(7885,plain,
% 12.02/8.30 (m_state_v_PM(c_s, s2, c_idle)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7884, 7664, 7671, 7621])).
% 12.02/8.30 tff(7886,plain,
% 12.02/8.30 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7887,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7888,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s1, s2)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 12.02/8.30 tff(7889,plain,
% 12.02/8.30 (node60(c_s, s1, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7888, 62, 7681, 271])).
% 12.02/8.30 tff(7890,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7891,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7892,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s1, c_up) | (~node57(c_s, s1))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 12.02/8.30 tff(7893,plain,
% 12.02/8.30 (~node57(c_s, s1)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7892, 7692, 7628])).
% 12.02/8.30 tff(7894,plain,
% 12.02/8.30 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node58(J0, X))))),
% 12.02/8.30 inference(bind,[status(th)],[])).
% 12.02/8.30 tff(7895,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 12.02/8.30 inference(quant_intro,[status(thm)],[7894])).
% 12.02/8.30 tff(7896,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7897,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_118')).
% 12.02/8.30 tff(7898,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 12.02/8.30 tff(7899,plain,(
% 12.02/8.30 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 12.02/8.30 inference(skolemize,[status(sab)],[7898])).
% 12.02/8.30 tff(7900,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7899, 7895])).
% 12.02/8.30 tff(7901,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7902,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7903,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node58(c_s, s1))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 12.02/8.30 tff(7904,plain,
% 12.02/8.30 (~node58(c_s, s1)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7903, 7900, 7599])).
% 12.02/8.30 tff(7905,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7906,plain,
% 12.02/8.30 ((node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2))) <=> (node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7907,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2)))),
% 12.02/8.30 inference(monotonicity,[status(thm)],[7906])).
% 12.02/8.30 tff(7908,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2))),
% 12.02/8.30 inference(transitivity,[status(thm)],[7907, 7905])).
% 12.02/8.30 tff(7909,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s1) | node58(c_s, s1) | node59(c_s, s1, s2) | (~node60(c_s, s1, s2)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7910,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s1) | node57(c_s, s1) | (~node60(c_s, s1, s2)) | node59(c_s, s1, s2)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 12.02/8.30 tff(7911,plain,
% 12.02/8.30 (node59(c_s, s1, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7910, 7717, 7904, 7893, 7889])).
% 12.02/8.30 tff(7912,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7913,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7914,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s1)) | (~node59(c_s, s1, s2)) | m_state_v_botPosP(c_s, s2)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 12.02/8.30 tff(7915,plain,
% 12.02/8.30 (m_state_v_botPosP(c_s, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7914, 7743, 7747, 7911])).
% 12.02/8.30 tff(7916,plain,
% 12.02/8.30 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7917,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7918,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s1, s2)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 12.02/8.30 tff(7919,plain,
% 12.02/8.30 (node52(c_s, s1, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7918, 62, 7536, 271])).
% 12.02/8.30 tff(7920,plain,
% 12.02/8.30 (^[X: $i, J0: $i] : refl(((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ((~node50(J0, X)) | m_state_v_midPosP(J0, X)))),
% 12.02/8.30 inference(bind,[status(th)],[])).
% 12.02/8.30 tff(7921,plain,
% 12.02/8.30 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(quant_intro,[status(thm)],[7920])).
% 12.02/8.30 tff(7922,plain,
% 12.02/8.30 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X)) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7923,plain,
% 12.02/8.30 (^[X: $i, J0: $i] : rewrite((m_state_v_midPosP(J0, X) | (~node50(J0, X))) <=> ((~node50(J0, X)) | m_state_v_midPosP(J0, X)))),
% 12.02/8.30 inference(bind,[status(th)],[])).
% 12.02/8.30 tff(7924,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node50(J0, X))) <=> ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(quant_intro,[status(thm)],[7923])).
% 12.02/8.30 tff(7925,axiom,(![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node50(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_96')).
% 12.02/8.30 tff(7926,plain,
% 12.02/8.30 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 12.02/8.30 tff(7927,plain,
% 12.02/8.30 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7926, 7922])).
% 12.02/8.30 tff(7928,plain,(
% 12.02/8.30 ![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(skolemize,[status(sab)],[7927])).
% 12.02/8.30 tff(7929,plain,
% 12.02/8.30 (![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7928, 7921])).
% 12.02/8.30 tff(7930,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7931,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7932,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s1)) | m_state_v_midPosP(c_s, s1)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 12.02/8.30 tff(7933,plain,
% 12.02/8.30 (~node50(c_s, s1)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7932, 7929, 7511])).
% 12.02/8.30 tff(7934,plain,
% 12.02/8.30 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node49(J0, X))))),
% 12.02/8.30 inference(bind,[status(th)],[])).
% 12.02/8.30 tff(7935,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 12.02/8.30 inference(quant_intro,[status(thm)],[7934])).
% 12.02/8.30 tff(7936,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7937,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_94')).
% 12.02/8.30 tff(7938,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 12.02/8.30 tff(7939,plain,(
% 12.02/8.30 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 12.02/8.30 inference(skolemize,[status(sab)],[7938])).
% 12.02/8.30 tff(7940,plain,
% 12.02/8.30 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7939, 7935])).
% 12.02/8.30 tff(7941,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7942,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7943,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node49(c_s, s1))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 12.02/8.30 tff(7944,plain,
% 12.02/8.30 (~node49(c_s, s1)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7943, 7940, 7599])).
% 12.02/8.30 tff(7945,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7946,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7947,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s1) | node50(c_s, s1) | node51(c_s, s1, s2) | (~node52(c_s, s1, s2))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 12.02/8.30 tff(7948,plain,
% 12.02/8.30 (node51(c_s, s1, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7947, 7575, 7944, 7933, 7919])).
% 12.02/8.30 tff(7949,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7950,plain,
% 12.02/8.30 ((m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2))) <=> ((~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7951,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2))))),
% 12.02/8.30 inference(monotonicity,[status(thm)],[7950])).
% 12.02/8.30 tff(7952,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)))),
% 12.02/8.30 inference(transitivity,[status(thm)],[7951, 7949])).
% 12.02/8.30 tff(7953,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2)) | (~m_state_v_topPosP(c_s, s2)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7954,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s2)) | m_state_v_topPosP(c_s, s1) | (~node51(c_s, s1, s2))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 12.02/8.30 tff(7955,plain,
% 12.02/8.30 (~m_state_v_topPosP(c_s, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7954, 7592, 7599, 7948])).
% 12.02/8.30 tff(7956,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7957,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7958,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node64(c_s, s2))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 12.02/8.30 tff(7959,plain,
% 12.02/8.30 (~node64(c_s, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7958, 7754, 7955])).
% 12.02/8.30 tff(7960,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7961,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7962,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node65(c_s, s2))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 12.02/8.30 tff(7963,plain,
% 12.02/8.30 (~node65(c_s, s2)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7962, 7650, 7843])).
% 12.02/8.30 tff(7964,plain,
% 12.02/8.30 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7965,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7966,plain,
% 12.02/8.30 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s2, s3)),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 12.02/8.30 tff(7967,plain,
% 12.02/8.30 (node68(c_s, s2, s3)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7966, 62, 7768, 480])).
% 12.02/8.30 tff(7968,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7969,plain,
% 12.02/8.30 (((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot)) <=> ((~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7970,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3))))),
% 12.02/8.30 inference(monotonicity,[status(thm)],[7969])).
% 12.02/8.30 tff(7971,plain,
% 12.02/8.30 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3)))),
% 12.02/8.30 inference(transitivity,[status(thm)],[7970, 7968])).
% 12.02/8.30 tff(7972,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s2)) | node64(c_s, s2) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | (~node68(c_s, s2, s3)) | m_state_v_press_status(c_s, s3, c_pressatbot))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7973,plain,
% 12.02/8.30 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot) | (~node68(c_s, s2, s3))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 12.02/8.30 tff(7974,plain,
% 12.02/8.30 ((~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node65(c_s, s2) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7973, 7782, 7967])).
% 12.02/8.30 tff(7975,plain,
% 12.02/8.30 ((~m_state_v_botPosP(c_s, s2)) | (~m_state_v_PM(c_s, s2, c_idle)) | node64(c_s, s2) | m_state_v_press_status(c_s, s3, c_pressatbot)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7974, 7963])).
% 12.02/8.30 tff(7976,plain,
% 12.02/8.30 (m_state_v_press_status(c_s, s3, c_pressatbot)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7975, 7959, 7915, 7885])).
% 12.02/8.30 tff(7977,plain,
% 12.02/8.30 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7978,plain,
% 12.02/8.30 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7979,plain,
% 12.02/8.30 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s3, c_pressatmid)) | (~m_state_v_press_status(c_s, s3, c_pressatbot))),
% 12.02/8.30 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 12.02/8.30 tff(7980,plain,
% 12.02/8.30 (~m_state_v_press_status(c_s, s3, c_pressatmid)),
% 12.02/8.30 inference(unit_resolution,[status(thm)],[7979, 7462, 7976])).
% 12.02/8.30 tff(7981,plain,
% 12.02/8.30 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))),
% 12.02/8.30 inference(rewrite,[status(thm)],[])).
% 12.02/8.30 tff(7982,plain,
% 12.02/8.30 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3)))),
% 12.02/8.30 inference(quant_inst,[status(thm)],[])).
% 12.02/8.30 tff(7983,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s3, c_pressatmid) | (~node54(c_s, s3))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 12.02/8.31 tff(7984,plain,
% 12.02/8.31 (~node54(c_s, s3)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[7983, 7473, 7980])).
% 12.02/8.31 tff(7985,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(7986,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(7987,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node117(c_s, s2))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 12.02/8.31 tff(7988,plain,
% 12.02/8.31 (~node117(c_s, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[7987, 7606, 7955])).
% 12.02/8.31 tff(7989,plain,
% 12.02/8.31 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(7990,plain,
% 12.02/8.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(7991,plain,
% 12.02/8.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s1, s2)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s1, s2)),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 12.02/8.31 tff(7992,plain,
% 12.02/8.31 (node163(c_s, s1, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[7991, 2729, 7193, 271])).
% 12.02/8.31 tff(7993,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(7994,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(7995,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~node160(c_s, s1))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 12.02/8.31 tff(7996,plain,
% 12.02/8.31 (~node160(c_s, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[7995, 7204, 5187])).
% 12.02/8.31 tff(7997,plain,
% 12.02/8.31 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(7998,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[7997])).
% 12.02/8.31 tff(7999,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8000,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_190')).
% 12.02/8.31 tff(8001,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 12.02/8.31 tff(8002,plain,(
% 12.02/8.31 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8001])).
% 12.02/8.31 tff(8003,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8002, 7998])).
% 12.02/8.31 tff(8004,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8005,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8006,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s1, c_arm1topress) | (~node161(c_s, s1))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 12.02/8.31 tff(8007,plain,
% 12.02/8.31 (~node161(c_s, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8006, 8003, 2574])).
% 12.02/8.31 tff(8008,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8009,plain,
% 12.02/8.31 ((node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2))) <=> (node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8010,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2)))),
% 12.02/8.31 inference(monotonicity,[status(thm)],[8009])).
% 12.02/8.31 tff(8011,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2))),
% 12.02/8.31 inference(transitivity,[status(thm)],[8010, 8008])).
% 12.02/8.31 tff(8012,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s1) | node160(c_s, s1) | node162(c_s, s1, s2) | (~node163(c_s, s1, s2)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8013,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s1) | node161(c_s, s1) | (~node163(c_s, s1, s2)) | node162(c_s, s1, s2)),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 12.02/8.31 tff(8014,plain,
% 12.02/8.31 (node162(c_s, s1, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8013, 7229, 8007, 7996, 7992])).
% 12.02/8.31 tff(8015,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8016,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8017,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s1)) | (~node162(c_s, s1, s2)) | m_state_v_pl(c_s, s2)),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 12.02/8.31 tff(8018,plain,
% 12.02/8.31 (m_state_v_pl(c_s, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8017, 7246, 7250, 8014])).
% 12.02/8.31 tff(8019,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8020,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8021,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s2)) | (~node114(c_s, s2))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 12.02/8.31 tff(8022,plain,
% 12.02/8.31 (~node114(c_s, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8021, 7257, 8018])).
% 12.02/8.31 tff(8023,plain,
% 12.02/8.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8024,plain,
% 12.02/8.31 (((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down))) <=> ((~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8025,plain,
% 12.02/8.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2))))),
% 12.02/8.31 inference(monotonicity,[status(thm)],[8024])).
% 12.02/8.31 tff(8026,plain,
% 12.02/8.31 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2)))),
% 12.02/8.31 inference(transitivity,[status(thm)],[8025, 8023])).
% 12.02/8.31 tff(8027,plain,
% 12.02/8.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s1, s2)) | m_state_v_PM(c_s, s1, c_down) | (~m_state_v_PM(c_s, s2, c_down)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8028,plain,
% 12.02/8.31 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s2, c_down)) | m_state_v_PM(c_s, s1, c_down) | (~node120(c_s, s1, s2))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 12.02/8.31 tff(8029,plain,
% 12.02/8.31 (~m_state_v_PM(c_s, s2, c_down)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8028, 7410, 7417, 7621])).
% 12.02/8.31 tff(8030,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8031,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8032,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s2, c_down) | (~node119(c_s, s2))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 12.02/8.31 tff(8033,plain,
% 12.02/8.31 (~node119(c_s, s2)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8032, 7364, 8029])).
% 12.02/8.31 tff(8034,assumption,(m_state_v_fc(c_s, s0)), introduced(assumption)).
% 12.02/8.31 tff(8035,plain,
% 12.02/8.31 (^[I0: $i] : refl((~m_state_v_fc(I0, s0)) <=> (~m_state_v_fc(I0, s0)))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8036,plain,
% 12.02/8.31 (![I0: $i] : (~m_state_v_fc(I0, s0)) <=> ![I0: $i] : (~m_state_v_fc(I0, s0))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8035])).
% 12.02/8.31 tff(8037,plain,
% 12.02/8.31 (![I0: $i] : (~m_state_v_fc(I0, s0)) <=> ![I0: $i] : (~m_state_v_fc(I0, s0))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8038,axiom,(![I0: $i] : (~m_state_v_fc(I0, s0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_103')).
% 12.02/8.31 tff(8039,plain,
% 12.02/8.31 (![I0: $i] : (~m_state_v_fc(I0, s0))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8038, 8037])).
% 12.02/8.31 tff(8040,plain,(
% 12.02/8.31 ![I0: $i] : (~m_state_v_fc(I0, s0))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8039])).
% 12.02/8.31 tff(8041,plain,
% 12.02/8.31 (![I0: $i] : (~m_state_v_fc(I0, s0))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8040, 8036])).
% 12.02/8.31 tff(8042,plain,
% 12.02/8.31 ((~![I0: $i] : (~m_state_v_fc(I0, s0))) | (~m_state_v_fc(c_s, s0))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8043,plain,
% 12.02/8.31 ($false),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8042, 8041, 8034])).
% 12.02/8.31 tff(8044,plain,(~m_state_v_fc(c_s, s0)), inference(lemma,lemma(discharge,[]))).
% 12.02/8.31 tff(8045,plain,
% 12.02/8.31 (^[X: $i, J0: $i] : refl((m_state_v_topPosP(J0, X) | (~node61(J0, X))) <=> (m_state_v_topPosP(J0, X) | (~node61(J0, X))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8046,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8045])).
% 12.02/8.31 tff(8047,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8048,axiom,(![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_126')).
% 12.02/8.31 tff(8049,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8048, 8047])).
% 12.02/8.31 tff(8050,plain,(
% 12.02/8.31 ![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8049])).
% 12.02/8.31 tff(8051,plain,
% 12.02/8.31 (![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8050, 8046])).
% 12.02/8.31 tff(8052,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node61(c_s, s0)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node61(c_s, s0)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8053,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s0) | (~node61(c_s, s0)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8054,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s0) | (~node61(c_s, s0))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 12.02/8.31 tff(8055,plain,
% 12.02/8.31 (~node61(c_s, s0)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8054, 8051, 7301])).
% 12.02/8.31 tff(8056,plain,
% 12.02/8.31 (^[Y: $i, I0: $i, X: $i, J0: $i] : refl(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y)))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8057,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8056])).
% 12.02/8.31 tff(8058,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8059,plain,
% 12.02/8.31 (^[Y: $i, I0: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), (((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)))), ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y)) <=> (((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y)))), rewrite((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))), (((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y)) <=> ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8060,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y)) <=> ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8059])).
% 12.02/8.31 tff(8061,axiom,(![Y: $i, I0: $i, X: $i, J0: $i] : ((((((((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | (~m_Sensor_v_s(I0, J0))) | node63(J0, X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_134')).
% 12.02/8.31 tff(8062,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 12.02/8.31 tff(8063,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8062, 8058])).
% 12.02/8.31 tff(8064,plain,(
% 12.02/8.31 ![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8063])).
% 12.02/8.31 tff(8065,plain,
% 12.02/8.31 (![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8064, 8057])).
% 12.02/8.31 tff(8066,plain,
% 12.02/8.31 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s0, s1))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8067,plain,
% 12.02/8.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s0, s1))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8068,plain,
% 12.02/8.31 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s0, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s0, s1)),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 12.02/8.31 tff(8069,plain,
% 12.02/8.31 (node63(c_s, s0, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8068, 62, 8065, 49])).
% 12.02/8.31 tff(8070,plain,
% 12.02/8.31 (^[Y: $i, X: $i, J0: $i] : refl((node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X))) <=> (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8071,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X))) <=> ![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8070])).
% 12.02/8.31 tff(8072,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X))) <=> ![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8073,plain,
% 12.02/8.31 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((node61(J0, X) | (~m_state_v_pl(J0, X))) <=> (node61(J0, X) | (~m_state_v_pl(J0, X)))), (((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) <=> ((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)))), rewrite(((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) <=> (node61(J0, X) | node62(J0, X, Y) | (~m_state_v_pl(J0, X)))), (((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) <=> (node61(J0, X) | node62(J0, X, Y) | (~m_state_v_pl(J0, X))))), ((((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) | (~node63(J0, X, Y))) <=> ((node61(J0, X) | node62(J0, X, Y) | (~m_state_v_pl(J0, X))) | (~node63(J0, X, Y))))), rewrite(((node61(J0, X) | node62(J0, X, Y) | (~m_state_v_pl(J0, X))) | (~node63(J0, X, Y))) <=> (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))), ((((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) | (~node63(J0, X, Y))) <=> (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8074,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) | (~node63(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8073])).
% 12.02/8.31 tff(8075,axiom,(![Y: $i, X: $i, J0: $i] : (((node61(J0, X) | (~m_state_v_pl(J0, X))) | node62(J0, X, Y)) | (~node63(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_133')).
% 12.02/8.31 tff(8076,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 12.02/8.31 tff(8077,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8076, 8072])).
% 12.02/8.31 tff(8078,plain,(
% 12.02/8.31 ![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8077])).
% 12.02/8.31 tff(8079,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8078, 8071])).
% 12.02/8.31 tff(8080,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8081,plain,
% 12.02/8.31 ((node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)) | (~m_state_v_pl(c_s, s0))) <=> ((~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8082,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)) | (~m_state_v_pl(c_s, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1))))),
% 12.02/8.31 inference(monotonicity,[status(thm)],[8081])).
% 12.02/8.31 tff(8083,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)) | (~m_state_v_pl(c_s, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)))),
% 12.02/8.31 inference(transitivity,[status(thm)],[8082, 8080])).
% 12.02/8.31 tff(8084,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1)) | (~m_state_v_pl(c_s, s0)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8085,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s0)) | node61(c_s, s0) | node62(c_s, s0, s1) | (~node63(c_s, s0, s1))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8084, 8083])).
% 12.02/8.31 tff(8086,plain,
% 12.02/8.31 (node61(c_s, s0) | node62(c_s, s0, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8085, 8079, 2891, 8069])).
% 12.02/8.31 tff(8087,plain,
% 12.02/8.31 (node62(c_s, s0, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8086, 8055])).
% 12.02/8.31 tff(8088,plain,
% 12.02/8.31 (^[Y: $i, X: $i, J0: $i] : refl(((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y))) <=> ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8089,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8088])).
% 12.02/8.31 tff(8090,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8091,plain,
% 12.02/8.31 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_fc(J0, Y)) | m_state_v_fc(J0, X)) | (~node62(J0, X, Y))) <=> ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y))))),
% 12.02/8.31 inference(bind,[status(th)],[])).
% 12.02/8.31 tff(8092,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_fc(J0, Y)) | m_state_v_fc(J0, X)) | (~node62(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(quant_intro,[status(thm)],[8091])).
% 12.02/8.31 tff(8093,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_fc(J0, Y)) | m_state_v_fc(J0, X)) | (~node62(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_130')).
% 12.02/8.31 tff(8094,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 12.02/8.31 tff(8095,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8094, 8090])).
% 12.02/8.31 tff(8096,plain,(
% 12.02/8.31 ![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(skolemize,[status(sab)],[8095])).
% 12.02/8.31 tff(8097,plain,
% 12.02/8.31 (![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8096, 8089])).
% 12.02/8.31 tff(8098,plain,
% 12.02/8.31 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s0, s1)) | m_state_v_fc(c_s, s0) | (~m_state_v_fc(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (~node62(c_s, s0, s1)) | m_state_v_fc(c_s, s0) | (~m_state_v_fc(c_s, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8099,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s0, s1)) | m_state_v_fc(c_s, s0) | (~m_state_v_fc(c_s, s1)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8100,plain,
% 12.02/8.31 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (~node62(c_s, s0, s1)) | m_state_v_fc(c_s, s0) | (~m_state_v_fc(c_s, s1))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 12.02/8.31 tff(8101,plain,
% 12.02/8.31 (m_state_v_fc(c_s, s0) | (~m_state_v_fc(c_s, s1))),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8100, 8097, 8087])).
% 12.02/8.31 tff(8102,plain,
% 12.02/8.31 (~m_state_v_fc(c_s, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8101, 8044])).
% 12.02/8.31 tff(8103,plain,
% 12.02/8.31 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node61(c_s, s1)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node61(c_s, s1)))),
% 12.02/8.31 inference(rewrite,[status(thm)],[])).
% 12.02/8.31 tff(8104,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s1) | (~node61(c_s, s1)))),
% 12.02/8.31 inference(quant_inst,[status(thm)],[])).
% 12.02/8.31 tff(8105,plain,
% 12.02/8.31 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s1) | (~node61(c_s, s1))),
% 12.02/8.31 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 12.02/8.31 tff(8106,plain,
% 12.02/8.31 (~node61(c_s, s1)),
% 12.02/8.31 inference(unit_resolution,[status(thm)],[8105, 8051, 7599])).
% 12.02/8.31 tff(8107,plain,
% 12.02/8.31 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s1, s2))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8108,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s1, s2))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8109,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s1, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s1, s2)),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 12.02/8.32 tff(8110,plain,
% 12.02/8.32 (node63(c_s, s1, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8109, 62, 8065, 271])).
% 12.02/8.32 tff(8111,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8112,plain,
% 12.02/8.32 ((node61(c_s, s1) | node62(c_s, s1, s2) | (~node63(c_s, s1, s2)) | (~m_state_v_pl(c_s, s1))) <=> ((~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8113,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s1) | node62(c_s, s1, s2) | (~node63(c_s, s1, s2)) | (~m_state_v_pl(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2)))),
% 12.02/8.32 inference(monotonicity,[status(thm)],[8112])).
% 12.02/8.32 tff(8114,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s1) | node62(c_s, s1, s2) | (~node63(c_s, s1, s2)) | (~m_state_v_pl(c_s, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2))),
% 12.02/8.32 inference(transitivity,[status(thm)],[8113, 8111])).
% 12.02/8.32 tff(8115,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s1) | node62(c_s, s1, s2) | (~node63(c_s, s1, s2)) | (~m_state_v_pl(c_s, s1)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8116,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | (~node63(c_s, s1, s2)) | node62(c_s, s1, s2)),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 12.02/8.32 tff(8117,plain,
% 12.02/8.32 ((~m_state_v_pl(c_s, s1)) | node61(c_s, s1) | node62(c_s, s1, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8116, 8079, 8110])).
% 12.02/8.32 tff(8118,plain,
% 12.02/8.32 (node62(c_s, s1, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8117, 8106, 7250])).
% 12.02/8.32 tff(8119,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8120,plain,
% 12.02/8.32 (((~node62(c_s, s1, s2)) | m_state_v_fc(c_s, s1) | (~m_state_v_fc(c_s, s2))) <=> ((~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8121,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s1, s2)) | m_state_v_fc(c_s, s1) | (~m_state_v_fc(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2))))),
% 12.02/8.32 inference(monotonicity,[status(thm)],[8120])).
% 12.02/8.32 tff(8122,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s1, s2)) | m_state_v_fc(c_s, s1) | (~m_state_v_fc(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2)))),
% 12.02/8.32 inference(transitivity,[status(thm)],[8121, 8119])).
% 12.02/8.32 tff(8123,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s1, s2)) | m_state_v_fc(c_s, s1) | (~m_state_v_fc(c_s, s2)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8124,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1) | (~node62(c_s, s1, s2))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8123, 8122])).
% 12.02/8.32 tff(8125,plain,
% 12.02/8.32 ((~m_state_v_fc(c_s, s2)) | m_state_v_fc(c_s, s1)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8124, 8097, 8118])).
% 12.02/8.32 tff(8126,plain,
% 12.02/8.32 (~m_state_v_fc(c_s, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8125, 8102])).
% 12.02/8.32 tff(8127,plain,
% 12.02/8.32 (^[X: $i, J0: $i] : refl((m_state_v_fc(J0, X) | (~node118(J0, X))) <=> (m_state_v_fc(J0, X) | (~node118(J0, X))))),
% 12.02/8.32 inference(bind,[status(th)],[])).
% 12.02/8.32 tff(8128,plain,
% 12.02/8.32 (![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))),
% 12.02/8.32 inference(quant_intro,[status(thm)],[8127])).
% 12.02/8.32 tff(8129,plain,
% 12.02/8.32 (![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8130,axiom,(![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_15')).
% 12.02/8.32 tff(8131,plain,
% 12.02/8.32 (![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 12.02/8.32 tff(8132,plain,(
% 12.02/8.32 ![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))),
% 12.02/8.32 inference(skolemize,[status(sab)],[8131])).
% 12.02/8.32 tff(8133,plain,
% 12.02/8.32 (![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8132, 8128])).
% 12.02/8.32 tff(8134,plain,
% 12.02/8.32 (((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (m_state_v_fc(c_s, s2) | (~node118(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | m_state_v_fc(c_s, s2) | (~node118(c_s, s2)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8135,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (m_state_v_fc(c_s, s2) | (~node118(c_s, s2)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8136,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | m_state_v_fc(c_s, s2) | (~node118(c_s, s2))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 12.02/8.32 tff(8137,plain,
% 12.02/8.32 (~node118(c_s, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8136, 8133, 8126])).
% 12.02/8.32 tff(8138,plain,
% 12.02/8.32 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node115(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node115(c_s, s2)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8139,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node115(c_s, s2)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8140,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node115(c_s, s2))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 12.02/8.32 tff(8141,plain,
% 12.02/8.32 (~node115(c_s, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8140, 7518, 7843])).
% 12.02/8.32 tff(8142,plain,
% 12.02/8.32 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8143,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8144,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s2) | (~node116(c_s, s2))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8143, 8142])).
% 12.02/8.32 tff(8145,plain,
% 12.02/8.32 (~node116(c_s, s2)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8144, 7286, 7843])).
% 12.02/8.32 tff(8146,plain,
% 12.02/8.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8147,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8148,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s2, s3)) | node121(c_s, s2, s3) | (~m_Press_v_s(c_PR, c_s))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 12.02/8.32 tff(8149,plain,
% 12.02/8.32 (node121(c_s, s2, s3)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8148, 7176, 7173, 480])).
% 12.02/8.32 tff(8150,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8151,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8152,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3) | (~node121(c_s, s2, s3))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 12.02/8.32 tff(8153,plain,
% 12.02/8.32 (node114(c_s, s2) | node115(c_s, s2) | node116(c_s, s2) | node117(c_s, s2) | node118(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8152, 7393, 8149])).
% 12.02/8.32 tff(8154,plain,
% 12.02/8.32 (node114(c_s, s2) | node117(c_s, s2) | node119(c_s, s2) | node120(c_s, s2, s3)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8153, 8145, 8141, 8137])).
% 12.02/8.32 tff(8155,plain,
% 12.02/8.32 (node120(c_s, s2, s3)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8154, 8033, 8022, 7988])).
% 12.02/8.32 tff(8156,plain,
% 12.02/8.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8157,plain,
% 12.02/8.32 (((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up))) <=> ((~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8158,plain,
% 12.02/8.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3))))),
% 12.02/8.32 inference(monotonicity,[status(thm)],[8157])).
% 12.02/8.32 tff(8159,plain,
% 12.02/8.32 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3)))),
% 12.02/8.32 inference(transitivity,[status(thm)],[8158, 8156])).
% 12.02/8.32 tff(8160,plain,
% 12.02/8.32 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_up) | (~m_state_v_PM(c_s, s3, c_up)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8161,plain,
% 12.02/8.32 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s3, c_up)) | m_state_v_PM(c_s, s2, c_up) | (~node120(c_s, s2, s3))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 12.02/8.32 tff(8162,plain,
% 12.02/8.32 (~m_state_v_PM(c_s, s3, c_up)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8161, 7410, 8155, 7635])).
% 12.02/8.32 tff(8163,plain,
% 12.02/8.32 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8164,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8165,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node53(c_s, s3))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 12.02/8.32 tff(8166,plain,
% 12.02/8.32 (~node53(c_s, s3)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8165, 7442, 8162])).
% 12.02/8.32 tff(8167,plain,
% 12.02/8.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8168,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8169,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s3, s4)),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 12.02/8.32 tff(8170,plain,
% 12.02/8.32 (node56(c_s, s3, s4)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8169, 62, 7431, 911])).
% 12.02/8.32 tff(8171,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8172,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8173,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4) | (~node56(c_s, s3, s4))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 12.02/8.32 tff(8174,plain,
% 12.02/8.32 (node53(c_s, s3) | node54(c_s, s3) | node55(c_s, s3, s4)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8173, 7487, 8170])).
% 12.02/8.32 tff(8175,plain,
% 12.02/8.32 (node55(c_s, s3, s4)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8174, 8166, 7984])).
% 12.02/8.32 tff(8176,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8177,plain,
% 12.02/8.32 ((m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4))) <=> (m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8178,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4))))),
% 12.02/8.32 inference(monotonicity,[status(thm)],[8177])).
% 12.02/8.32 tff(8179,plain,
% 12.02/8.32 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4)))),
% 12.02/8.32 inference(transitivity,[status(thm)],[8178, 8176])).
% 12.02/8.32 tff(8180,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s3) | (~node55(c_s, s3, s4)) | (~m_state_v_midPosP(c_s, s4)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8181,plain,
% 12.02/8.32 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s3) | (~m_state_v_midPosP(c_s, s4)) | (~node55(c_s, s3, s4))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 12.02/8.32 tff(8182,plain,
% 12.02/8.32 (~m_state_v_midPosP(c_s, s4)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8181, 7504, 8175, 7850])).
% 12.02/8.32 tff(8183,plain,
% 12.02/8.32 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8184,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8185,plain,
% 12.02/8.32 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node123(c_s, s4))),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 12.02/8.32 tff(8186,plain,
% 12.02/8.32 (~node123(c_s, s4)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8185, 7857, 8182])).
% 12.02/8.32 tff(8187,plain,
% 12.02/8.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8188,plain,
% 12.02/8.32 (((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8189,plain,
% 12.02/8.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5)))),
% 12.02/8.32 inference(monotonicity,[status(thm)],[8188])).
% 12.02/8.32 tff(8190,plain,
% 12.02/8.32 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5))),
% 12.02/8.32 inference(transitivity,[status(thm)],[8189, 8187])).
% 12.02/8.32 tff(8191,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s4, s5)) | node131(c_s, s4, s5) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.02/8.32 inference(quant_inst,[status(thm)],[])).
% 12.02/8.32 tff(8192,plain,
% 12.02/8.32 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s4, s5)),
% 12.02/8.32 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 12.02/8.32 tff(8193,plain,
% 12.02/8.32 (node131(c_s, s4, s5)),
% 12.02/8.32 inference(unit_resolution,[status(thm)],[8192, 2729, 2726, 1043])).
% 12.02/8.32 tff(8194,plain,
% 12.02/8.32 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))))),
% 12.02/8.32 inference(bind,[status(th)],[])).
% 12.02/8.32 tff(8195,plain,
% 12.02/8.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.32 inference(quant_intro,[status(thm)],[8194])).
% 12.02/8.32 tff(8196,plain,
% 12.02/8.32 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.32 inference(rewrite,[status(thm)],[])).
% 12.02/8.32 tff(8197,plain,
% 12.02/8.32 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X))), ((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X))), ((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)))), (((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))))), ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot))) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))), (((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))))),
% 12.02/8.33 inference(bind,[status(th)],[])).
% 12.02/8.33 tff(8198,plain,
% 12.02/8.33 (![Y: $i, X: $i, J0: $i] : ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.33 inference(quant_intro,[status(thm)],[8197])).
% 12.02/8.33 tff(8199,axiom,(![Y: $i, X: $i, J0: $i] : ((((((node122(J0, X) | node123(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_47')).
% 12.02/8.33 tff(8200,plain,
% 12.02/8.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 12.02/8.33 tff(8201,plain,
% 12.02/8.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8200, 8196])).
% 12.02/8.33 tff(8202,plain,(
% 12.02/8.33 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.33 inference(skolemize,[status(sab)],[8201])).
% 12.02/8.33 tff(8203,plain,
% 12.02/8.33 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8202, 8195])).
% 12.02/8.33 tff(8204,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8205,plain,
% 12.02/8.33 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5))) <=> (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8206,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot))))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8205])).
% 12.02/8.33 tff(8207,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot)))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8206, 8204])).
% 12.02/8.33 tff(8208,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | node122(c_s, s4) | node123(c_s, s4) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node131(c_s, s4, s5)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8209,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | node122(J0, X) | node123(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)))) | m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~node131(c_s, s4, s5)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 12.02/8.33 tff(8210,plain,
% 12.02/8.33 (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node123(c_s, s4) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8209, 8203, 8193])).
% 12.02/8.33 tff(8211,plain,
% 12.02/8.33 (m_state_v_A1M(c_s, s5, c_idle) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | node122(c_s, s4) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8210, 8186])).
% 12.02/8.33 tff(8212,plain,
% 12.02/8.33 (m_state_v_A1M(c_s, s5, c_idle)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8211, 7878, 7051, 6835, 6435])).
% 12.02/8.33 tff(8213,plain,
% 12.02/8.33 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8214,plain,
% 12.02/8.33 (((~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_A1M(c_s, s5, c_idle))) <=> ((~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8215,plain,
% 12.02/8.33 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_A1M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract))))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8214])).
% 12.02/8.33 tff(8216,plain,
% 12.02/8.33 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_A1M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract)))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8215, 8213])).
% 12.02/8.33 tff(8217,plain,
% 12.02/8.33 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_retract)) | (~m_state_v_A1M(c_s, s5, c_idle)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8218,plain,
% 12.02/8.33 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1M(c_s, s5, c_retract))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 12.02/8.33 tff(8219,plain,
% 12.02/8.33 (~m_state_v_A1M(c_s, s5, c_retract)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8218, 1383, 8212])).
% 12.02/8.33 tff(8220,plain,
% 12.02/8.33 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8221,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | ((~node1(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8222,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_A1M(J0, X, c_retract))) | (~node1(c_s, s5)) | m_state_v_A1M(c_s, s5, c_retract)),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 12.02/8.33 tff(8223,plain,
% 12.02/8.33 (~node1(c_s, s5)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8222, 1397, 8219])).
% 12.02/8.33 tff(8224,plain,
% 12.02/8.33 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8225,plain,
% 12.02/8.33 ((node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6))) <=> ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8226,plain,
% 12.02/8.33 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6)))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8225])).
% 12.02/8.33 tff(8227,plain,
% 12.02/8.33 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8226, 8224])).
% 12.02/8.33 tff(8228,plain,
% 12.02/8.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s5, s6) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s5, s6)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8229,plain,
% 12.02/8.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s5, s6)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s5, s6)),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 12.02/8.33 tff(8230,plain,
% 12.02/8.33 (node4(c_s, s5, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8229, 1360, 1357, 14])).
% 12.02/8.33 tff(8231,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8232,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8233,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6) | (~node4(c_s, s5, s6))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 12.02/8.33 tff(8234,plain,
% 12.02/8.33 (node1(c_s, s5) | node2(c_s, s5) | node3(c_s, s5, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8233, 1431, 8230])).
% 12.02/8.33 tff(8235,plain,
% 12.02/8.33 (node3(c_s, s5, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8234, 8223, 6821])).
% 12.02/8.33 tff(8236,assumption,(m_state_v_tl(c_s, s5)), introduced(assumption)).
% 12.02/8.33 tff(8237,assumption,(node3(c_s, s5, s6)), introduced(assumption)).
% 12.02/8.33 tff(8238,assumption,(~m_state_v_tl(c_s, s6)), introduced(assumption)).
% 12.02/8.33 tff(8239,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8240,plain,
% 12.02/8.33 (((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6)) <=> (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8241,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6))))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8240])).
% 12.02/8.33 tff(8242,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6)))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8241, 8239])).
% 12.02/8.33 tff(8243,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s5, s6)) | (~m_state_v_tl(c_s, s5)) | m_state_v_tl(c_s, s6))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8244,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5)) | (~node3(c_s, s5, s6))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 12.02/8.33 tff(8245,plain,
% 12.02/8.33 ($false),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8244, 1448, 8238, 8237, 8236])).
% 12.02/8.33 tff(8246,plain,((~node3(c_s, s5, s6)) | m_state_v_tl(c_s, s6) | (~m_state_v_tl(c_s, s5))), inference(lemma,lemma(discharge,[]))).
% 12.02/8.33 tff(8247,plain,
% 12.02/8.33 (m_state_v_tl(c_s, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8246, 8235, 6619])).
% 12.02/8.33 tff(8248,plain,
% 12.02/8.33 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8249,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8250,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node172(c_s, s6))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 12.02/8.33 tff(8251,plain,
% 12.02/8.33 (~node172(c_s, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8250, 5994, 8247])).
% 12.02/8.33 tff(8252,plain,
% 12.02/8.33 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node170(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node170(c_s, s6)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8253,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node170(c_s, s6)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8254,plain,
% 12.02/8.33 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node170(c_s, s6))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8253, 8252])).
% 12.02/8.33 tff(8255,plain,
% 12.02/8.33 (~node170(c_s, s6)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8254, 6184, 5759])).
% 12.02/8.33 tff(8256,plain,
% 12.02/8.33 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8257,plain,
% 12.02/8.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8258,plain,
% 12.02/8.33 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s6, s7)),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 12.02/8.33 tff(8259,plain,
% 12.02/8.33 (node175(c_s, s6, s7)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8258, 1505, 1502, 2095])).
% 12.02/8.33 tff(8260,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8261,plain,
% 12.02/8.33 ((node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7))) <=> (node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8262,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7))))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8261])).
% 12.02/8.33 tff(8263,plain,
% 12.02/8.33 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8262, 8260])).
% 12.02/8.33 tff(8264,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s6) | node172(c_s, s6) | node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8265,plain,
% 12.02/8.33 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7) | (~node175(c_s, s6, s7))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 12.02/8.33 tff(8266,plain,
% 12.02/8.33 (node172(c_s, s6) | node171(c_s, s6) | node170(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8265, 6008, 8259])).
% 12.02/8.33 tff(8267,plain,
% 12.02/8.33 (node171(c_s, s6) | node173(c_s, s6) | node174(c_s, s6, s7)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8266, 8255, 8251])).
% 12.02/8.33 tff(8268,plain,
% 12.02/8.33 (node174(c_s, s6, s7)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8267, 6786, 6782])).
% 12.02/8.33 tff(8269,plain,
% 12.02/8.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8270,plain,
% 12.02/8.33 (((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up))) <=> (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 12.02/8.33 inference(rewrite,[status(thm)],[])).
% 12.02/8.33 tff(8271,plain,
% 12.02/8.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7))))),
% 12.02/8.33 inference(monotonicity,[status(thm)],[8270])).
% 12.02/8.33 tff(8272,plain,
% 12.02/8.33 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7)))),
% 12.02/8.33 inference(transitivity,[status(thm)],[8271, 8269])).
% 12.02/8.33 tff(8273,plain,
% 12.02/8.33 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)))),
% 12.02/8.33 inference(quant_inst,[status(thm)],[])).
% 12.02/8.33 tff(8274,plain,
% 12.02/8.33 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_up) | (~m_state_v_TEM(c_s, s7, c_up)) | (~node174(c_s, s6, s7))),
% 12.02/8.33 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 12.02/8.33 tff(8275,plain,
% 12.02/8.33 (~m_state_v_TEM(c_s, s7, c_up)),
% 12.02/8.33 inference(unit_resolution,[status(thm)],[8274, 6115, 6647, 8268])).
% 12.02/8.33 tff(8276,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8277,plain,
% 12.02/8.34 (((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down))) <=> (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8278,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7))))),
% 12.02/8.34 inference(monotonicity,[status(thm)],[8277])).
% 12.02/8.34 tff(8279,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7)))),
% 12.02/8.34 inference(transitivity,[status(thm)],[8278, 8276])).
% 12.02/8.34 tff(8280,plain,
% 12.02/8.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s6, s7)) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8281,plain,
% 12.02/8.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s6, c_down) | (~m_state_v_TEM(c_s, s7, c_down)) | (~node174(c_s, s6, s7))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 12.02/8.34 tff(8282,plain,
% 12.02/8.34 (~m_state_v_TEM(c_s, s7, c_down)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8281, 6115, 6661, 8268])).
% 12.02/8.34 tff(8283,plain,
% 12.02/8.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8284,plain,
% 12.02/8.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8285,plain,
% 12.02/8.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s7, s8)),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 12.02/8.34 tff(8286,plain,
% 12.02/8.34 (node22(c_s, s7, s8)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8285, 62, 5593, 4830])).
% 12.02/8.34 tff(8287,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8288,plain,
% 12.02/8.34 ((node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down)) <=> (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8289,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8)))),
% 12.02/8.34 inference(monotonicity,[status(thm)],[8288])).
% 12.02/8.34 tff(8290,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8))),
% 12.02/8.34 inference(transitivity,[status(thm)],[8289, 8287])).
% 12.02/8.34 tff(8291,plain,
% 12.02/8.34 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | (node21(c_s, s7, s8) | (~node22(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8292,plain,
% 12.02/8.34 ((~![Y: $i, X: $i, J0: $i] : (node21(J0, X, Y) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down))) | m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | (~node22(c_s, s7, s8)) | node21(c_s, s7, s8)),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 12.02/8.34 tff(8293,plain,
% 12.02/8.34 (m_state_v_TEM(c_s, s7, c_up) | m_state_v_TEM(c_s, s7, c_down) | node21(c_s, s7, s8)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8292, 5925, 8286])).
% 12.02/8.34 tff(8294,plain,
% 12.02/8.34 (node21(c_s, s7, s8)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8293, 8282, 8275])).
% 12.02/8.34 tff(8295,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8296,plain,
% 12.02/8.34 (((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8)) <=> (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8297,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | (m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8))))),
% 12.02/8.34 inference(monotonicity,[status(thm)],[8296])).
% 12.02/8.34 tff(8298,plain,
% 12.02/8.34 (((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8)))),
% 12.02/8.34 inference(transitivity,[status(thm)],[8297, 8295])).
% 12.02/8.34 tff(8299,plain,
% 12.02/8.34 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | ((~node21(c_s, s7, s8)) | (~m_state_v_topPos(c_s, s7)) | m_state_v_topPos(c_s, s8))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8300,plain,
% 12.02/8.34 ((~![Y: $i, X: $i, J0: $i] : ((~node21(J0, X, Y)) | (~m_state_v_topPos(J0, X)) | m_state_v_topPos(J0, Y))) | m_state_v_topPos(c_s, s8) | (~m_state_v_topPos(c_s, s7)) | (~node21(c_s, s7, s8))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 12.02/8.34 tff(8301,plain,
% 12.02/8.34 (m_state_v_topPos(c_s, s8)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8300, 6719, 8294, 6759])).
% 12.02/8.34 tff(8302,plain,
% 12.02/8.34 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s5, s6))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8303,plain,
% 12.02/8.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s5, s6))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8304,plain,
% 12.02/8.34 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s5, s6)),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 12.02/8.34 tff(8305,plain,
% 12.02/8.34 (node32(c_s, s5, s6)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8304, 62, 2598, 14])).
% 12.02/8.34 tff(8306,plain,
% 12.02/8.34 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8307,plain,
% 12.02/8.34 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8308,plain,
% 12.02/8.34 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s5, c_extend)) | (~m_state_v_A1M(c_s, s5, c_idle))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 12.02/8.34 tff(8309,plain,
% 12.02/8.34 (~m_state_v_A1M(c_s, s5, c_extend)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8308, 2834, 8212])).
% 12.02/8.34 tff(8310,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node29(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node29(c_s, s5)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8311,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node29(c_s, s5)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8312,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node29(c_s, s5))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 12.02/8.34 tff(8313,plain,
% 12.02/8.34 (~node29(c_s, s5)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8312, 2628, 8309])).
% 12.02/8.34 tff(8314,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8315,plain,
% 12.02/8.34 (((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise))) <=> ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8316,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3))))),
% 12.02/8.34 inference(monotonicity,[status(thm)],[8315])).
% 12.02/8.34 tff(8317,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3)))),
% 12.02/8.34 inference(transitivity,[status(thm)],[8316, 8314])).
% 12.02/8.34 tff(8318,plain,
% 12.02/8.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s2, s3)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~m_state_v_RRM(c_s, s3, c_clockwise)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8319,plain,
% 12.02/8.34 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s3, c_clockwise)) | m_state_v_RRM(c_s, s2, c_clockwise) | (~node158(c_s, s2, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8318, 8317])).
% 12.02/8.34 tff(8320,plain,
% 12.02/8.34 (~m_state_v_RRM(c_s, s3, c_clockwise)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8319, 5151, 6882, 7021])).
% 12.02/8.34 tff(8321,plain,
% 12.02/8.34 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))))),
% 12.02/8.34 inference(bind,[status(th)],[])).
% 12.02/8.34 tff(8322,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 12.02/8.34 inference(quant_intro,[status(thm)],[8321])).
% 12.02/8.34 tff(8323,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8324,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_161')).
% 12.02/8.34 tff(8325,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 12.02/8.34 tff(8326,plain,(
% 12.02/8.34 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 12.02/8.34 inference(skolemize,[status(sab)],[8325])).
% 12.02/8.34 tff(8327,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8326, 8322])).
% 12.02/8.34 tff(8328,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node156(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node156(c_s, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8329,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node156(c_s, s3)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8330,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node156(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node156(c_s, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 12.02/8.34 tff(8331,plain,
% 12.02/8.34 (~node156(c_s, s3)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8330, 8327, 7081])).
% 12.02/8.34 tff(8332,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8333,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8334,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node153(c_s, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 12.02/8.34 tff(8335,plain,
% 12.02/8.34 (~node153(c_s, s3)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8334, 3464, 5627])).
% 12.02/8.34 tff(8336,plain,
% 12.02/8.34 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))))),
% 12.02/8.34 inference(bind,[status(th)],[])).
% 12.02/8.34 tff(8337,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 12.02/8.34 inference(quant_intro,[status(thm)],[8336])).
% 12.02/8.34 tff(8338,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8339,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_145')).
% 12.02/8.34 tff(8340,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8339, 8338])).
% 12.02/8.34 tff(8341,plain,(
% 12.02/8.34 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 12.02/8.34 inference(skolemize,[status(sab)],[8340])).
% 12.02/8.34 tff(8342,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8341, 8337])).
% 12.02/8.34 tff(8343,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node154(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node154(c_s, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8344,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node154(c_s, s3)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8345,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node154(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node154(c_s, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 12.02/8.34 tff(8346,plain,
% 12.02/8.34 (~node154(c_s, s3)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8345, 8342, 7081])).
% 12.02/8.34 tff(8347,plain,
% 12.02/8.34 (^[X: $i, J0: $i] : refl((m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))))),
% 12.02/8.34 inference(bind,[status(th)],[])).
% 12.02/8.34 tff(8348,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 12.02/8.34 inference(quant_intro,[status(thm)],[8347])).
% 12.02/8.34 tff(8349,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8350,axiom,(![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_169')).
% 12.02/8.34 tff(8351,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 12.02/8.34 tff(8352,plain,(
% 12.02/8.34 ![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 12.02/8.34 inference(skolemize,[status(sab)],[8351])).
% 12.02/8.34 tff(8353,plain,
% 12.02/8.34 (![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8352, 8348])).
% 12.02/8.34 tff(8354,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node157(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node157(c_s, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8355,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | (m_state_v_A1M(c_s, s3, c_idle) | (~node157(c_s, s3)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8356,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node157(J0, X)))) | m_state_v_A1M(c_s, s3, c_idle) | (~node157(c_s, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 12.02/8.34 tff(8357,plain,
% 12.02/8.34 (~node157(c_s, s3)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8356, 8353, 7081])).
% 12.02/8.34 tff(8358,plain,
% 12.02/8.34 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8359,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8360,plain,
% 12.02/8.34 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node150(c_s, s3))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 12.02/8.34 tff(8361,plain,
% 12.02/8.34 (~node150(c_s, s3)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8360, 3453, 5627])).
% 12.02/8.34 tff(8362,plain,
% 12.02/8.34 (^[I0: $i, X: $i] : refl(((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))))),
% 12.02/8.34 inference(bind,[status(th)],[])).
% 12.02/8.34 tff(8363,plain,
% 12.02/8.34 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 12.02/8.34 inference(quant_intro,[status(thm)],[8362])).
% 12.02/8.34 tff(8364,plain,
% 12.02/8.34 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle))) <=> ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8365,axiom,(![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_9')).
% 12.02/8.34 tff(8366,plain,
% 12.02/8.34 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 12.02/8.34 tff(8367,plain,(
% 12.02/8.34 ![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 12.02/8.34 inference(skolemize,[status(sab)],[8366])).
% 12.02/8.34 tff(8368,plain,
% 12.02/8.34 (![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8367, 8363])).
% 12.02/8.34 tff(8369,plain,
% 12.02/8.34 (((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 12.02/8.34 inference(rewrite,[status(thm)],[])).
% 12.02/8.34 tff(8370,plain,
% 12.02/8.34 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | ((~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle)))),
% 12.02/8.34 inference(quant_inst,[status(thm)],[])).
% 12.02/8.34 tff(8371,plain,
% 12.02/8.34 ((~![I0: $i, X: $i] : ((~m_state_v_A2M(I0, X, c_extend)) | (~m_state_v_A2M(I0, X, c_idle)))) | (~m_state_v_A2M(c_s, s0, c_extend)) | (~m_state_v_A2M(c_s, s0, c_idle))),
% 12.02/8.34 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 12.02/8.34 tff(8372,plain,
% 12.02/8.34 (~m_state_v_A2M(c_s, s0, c_extend)),
% 12.02/8.34 inference(unit_resolution,[status(thm)],[8371, 8368, 2763])).
% 12.02/8.34 tff(8373,plain,
% 12.02/8.34 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8374,plain,
% 12.02/8.35 (((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend))) <=> (m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8375,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1))))),
% 12.02/8.35 inference(monotonicity,[status(thm)],[8374])).
% 12.02/8.35 tff(8376,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1)))),
% 12.02/8.35 inference(transitivity,[status(thm)],[8375, 8373])).
% 12.02/8.35 tff(8377,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s0, s1)) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8378,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s0, c_extend) | (~m_state_v_A2M(c_s, s1, c_extend)) | (~node140(c_s, s0, s1))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 12.02/8.35 tff(8379,plain,
% 12.02/8.35 (~m_state_v_A2M(c_s, s1, c_extend)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8378, 5541, 8372, 3268])).
% 12.02/8.35 tff(8380,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8381,plain,
% 12.02/8.35 (((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend))) <=> (m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8382,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2))))),
% 12.02/8.35 inference(monotonicity,[status(thm)],[8381])).
% 12.02/8.35 tff(8383,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2)))),
% 12.02/8.35 inference(transitivity,[status(thm)],[8382, 8380])).
% 12.02/8.35 tff(8384,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s1, s2)) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8385,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s1, c_extend) | (~m_state_v_A2M(c_s, s2, c_extend)) | (~node140(c_s, s1, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 12.02/8.35 tff(8386,plain,
% 12.02/8.35 (~m_state_v_A2M(c_s, s2, c_extend)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8385, 5541, 8379, 5393])).
% 12.02/8.35 tff(8387,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8388,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8387])).
% 12.02/8.35 tff(8389,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8390,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_123')).
% 12.02/8.35 tff(8391,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 12.02/8.35 tff(8392,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8391])).
% 12.02/8.35 tff(8393,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8392, 8388])).
% 12.02/8.35 tff(8394,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node147(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node147(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8395,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node147(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8396,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node147(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8395, 8394])).
% 12.02/8.35 tff(8397,plain,
% 12.02/8.35 (~node147(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8396, 8393, 8386])).
% 12.02/8.35 tff(8398,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8399,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8398])).
% 12.02/8.35 tff(8400,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8401,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_120')).
% 12.02/8.35 tff(8402,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 12.02/8.35 tff(8403,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8402])).
% 12.02/8.35 tff(8404,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8403, 8399])).
% 12.02/8.35 tff(8405,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node146(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node146(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8406,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node146(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8407,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node146(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 12.02/8.35 tff(8408,plain,
% 12.02/8.35 (~node146(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8407, 8404, 8386])).
% 12.02/8.35 tff(8409,plain,
% 12.02/8.35 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8410,plain,
% 12.02/8.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8411,plain,
% 12.02/8.35 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s2, s3)),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 12.02/8.35 tff(8412,plain,
% 12.02/8.35 (node149(c_s, s2, s3)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8411, 2729, 3295, 480])).
% 12.02/8.35 tff(8413,plain,
% 12.02/8.35 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8414,plain,
% 12.02/8.35 ((node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3))) <=> (node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8415,plain,
% 12.02/8.35 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3))))),
% 12.02/8.35 inference(monotonicity,[status(thm)],[8414])).
% 12.02/8.35 tff(8416,plain,
% 12.02/8.35 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))),
% 12.02/8.35 inference(transitivity,[status(thm)],[8415, 8413])).
% 12.02/8.35 tff(8417,plain,
% 12.02/8.35 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s2) | node147(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8418,plain,
% 12.02/8.35 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3) | (~node149(c_s, s2, s3))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 12.02/8.35 tff(8419,plain,
% 12.02/8.35 (node147(c_s, s2) | node146(c_s, s2) | node148(c_s, s2, s3)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8418, 3331, 8412])).
% 12.02/8.35 tff(8420,plain,
% 12.02/8.35 (node148(c_s, s2, s3)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8419, 8408, 8397])).
% 12.02/8.35 tff(8421,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8422,plain,
% 12.02/8.35 (((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on))) <=> ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8423,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3))))),
% 12.02/8.35 inference(monotonicity,[status(thm)],[8422])).
% 12.02/8.35 tff(8424,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3)))),
% 12.02/8.35 inference(transitivity,[status(thm)],[8423, 8421])).
% 12.02/8.35 tff(8425,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s2, s3)) | m_state_v_A2Mag(c_s, s2, c_on) | (~m_state_v_A2Mag(c_s, s3, c_on)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8426,plain,
% 12.02/8.35 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s3, c_on)) | m_state_v_A2Mag(c_s, s2, c_on) | (~node148(c_s, s2, s3))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 12.02/8.35 tff(8427,plain,
% 12.02/8.35 (~m_state_v_A2Mag(c_s, s3, c_on)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8426, 5430, 5476, 8420])).
% 12.02/8.35 tff(8428,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8429,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8430,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node155(c_s, s3))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8429, 8428])).
% 12.02/8.35 tff(8431,plain,
% 12.02/8.35 (~node155(c_s, s3)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8430, 6922, 8427])).
% 12.02/8.35 tff(8432,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8433,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8432])).
% 12.02/8.35 tff(8434,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8435,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_79')).
% 12.02/8.35 tff(8436,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 12.02/8.35 tff(8437,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8436])).
% 12.02/8.35 tff(8438,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8437, 8433])).
% 12.02/8.35 tff(8439,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node135(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node135(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8440,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node135(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8441,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node135(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8440, 8439])).
% 12.02/8.35 tff(8442,plain,
% 12.02/8.35 (~node135(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8441, 8438, 8386])).
% 12.02/8.35 tff(8443,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8444,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8443])).
% 12.02/8.35 tff(8445,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8446,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_93')).
% 12.02/8.35 tff(8447,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 12.02/8.35 tff(8448,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8447])).
% 12.02/8.35 tff(8449,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8448, 8444])).
% 12.02/8.35 tff(8450,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8451,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8452,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node139(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8451, 8450])).
% 12.02/8.35 tff(8453,plain,
% 12.02/8.35 (~node139(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8452, 8449, 6904])).
% 12.02/8.35 tff(8454,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl(((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8455,plain,
% 12.02/8.35 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8454])).
% 12.02/8.35 tff(8456,plain,
% 12.02/8.35 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8457,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : rewrite((m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X))) <=> ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on)))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8458,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X))) <=> ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8457])).
% 12.02/8.35 tff(8459,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node133(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_73')).
% 12.02/8.35 tff(8460,plain,
% 12.02/8.35 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8459, 8458])).
% 12.02/8.35 tff(8461,plain,
% 12.02/8.35 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8460, 8456])).
% 12.02/8.35 tff(8462,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8461])).
% 12.02/8.35 tff(8463,plain,
% 12.02/8.35 (![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8462, 8455])).
% 12.02/8.35 tff(8464,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8465,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8466,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s2)) | m_state_v_A2Mag(c_s, s2, c_on)),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 12.02/8.35 tff(8467,plain,
% 12.02/8.35 (~node133(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8466, 8463, 5476])).
% 12.02/8.35 tff(8468,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8469,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8468])).
% 12.02/8.35 tff(8470,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8471,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_61')).
% 12.02/8.35 tff(8472,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 12.02/8.35 tff(8473,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8472])).
% 12.02/8.35 tff(8474,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8473, 8469])).
% 12.02/8.35 tff(8475,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8476,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8477,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s2, c_on) | (~node132(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8476, 8475])).
% 12.02/8.35 tff(8478,plain,
% 12.02/8.35 (~node132(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8477, 8474, 6975])).
% 12.02/8.35 tff(8479,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8480,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8479])).
% 12.02/8.35 tff(8481,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8482,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_90')).
% 12.02/8.35 tff(8483,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 12.02/8.35 tff(8484,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8483])).
% 12.02/8.35 tff(8485,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8484, 8480])).
% 12.02/8.35 tff(8486,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8487,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8488,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node138(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 12.02/8.35 tff(8489,plain,
% 12.02/8.35 (~node138(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8488, 8485, 6904])).
% 12.02/8.35 tff(8490,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8491,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8490])).
% 12.02/8.35 tff(8492,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8493,axiom,(![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_84')).
% 12.02/8.35 tff(8494,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 12.02/8.35 tff(8495,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8494])).
% 12.02/8.35 tff(8496,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8495, 8491])).
% 12.02/8.35 tff(8497,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8498,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8499,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s2, c_on) | (~node136(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 12.02/8.35 tff(8500,plain,
% 12.02/8.35 (~node136(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8499, 8496, 5476])).
% 12.02/8.35 tff(8501,plain,
% 12.02/8.35 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))))),
% 12.02/8.35 inference(bind,[status(th)],[])).
% 12.02/8.35 tff(8502,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 12.02/8.35 inference(quant_intro,[status(thm)],[8501])).
% 12.02/8.35 tff(8503,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8504,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_76')).
% 12.02/8.35 tff(8505,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 12.02/8.35 tff(8506,plain,(
% 12.02/8.35 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 12.02/8.35 inference(skolemize,[status(sab)],[8505])).
% 12.02/8.35 tff(8507,plain,
% 12.02/8.35 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8506, 8502])).
% 12.02/8.35 tff(8508,plain,
% 12.02/8.35 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node134(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node134(c_s, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8509,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node134(c_s, s2)))),
% 12.02/8.35 inference(quant_inst,[status(thm)],[])).
% 12.02/8.35 tff(8510,plain,
% 12.02/8.35 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node134(c_s, s2))),
% 12.02/8.35 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 12.02/8.35 tff(8511,plain,
% 12.02/8.35 (~node134(c_s, s2)),
% 12.02/8.35 inference(unit_resolution,[status(thm)],[8510, 8507, 8386])).
% 12.02/8.35 tff(8512,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8513,plain,
% 12.02/8.35 (((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob))) <=> (m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2)))),
% 12.02/8.35 inference(rewrite,[status(thm)],[])).
% 12.02/8.35 tff(8514,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2))))),
% 12.02/8.35 inference(monotonicity,[status(thm)],[8513])).
% 12.02/8.35 tff(8515,plain,
% 12.02/8.35 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2)))),
% 12.02/8.36 inference(transitivity,[status(thm)],[8514, 8512])).
% 12.02/8.36 tff(8516,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8517,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_ob) | (~m_state_v_a2ext(c_s, s2, c_ob)) | (~node35(c_s, s1, s2))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8516, 8515])).
% 12.02/8.36 tff(8518,plain,
% 12.02/8.36 (~m_state_v_a2ext(c_s, s2, c_ob)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8517, 5294, 5338, 5569])).
% 12.02/8.36 tff(8519,plain,
% 12.02/8.36 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8520,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8521,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s2, c_ob) | (~node137(c_s, s2))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 12.02/8.36 tff(8522,plain,
% 12.02/8.36 (~node137(c_s, s2)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8521, 5345, 8518])).
% 12.02/8.36 tff(8523,plain,
% 12.02/8.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8524,plain,
% 12.02/8.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8525,plain,
% 12.02/8.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s2, s3)),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 12.02/8.36 tff(8526,plain,
% 12.02/8.36 (node141(c_s, s2, s3)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8525, 2729, 3159, 480])).
% 12.02/8.36 tff(8527,plain,
% 12.02/8.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8528,plain,
% 12.02/8.36 ((node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))) <=> (node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8529,plain,
% 12.02/8.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))))),
% 12.02/8.36 inference(monotonicity,[status(thm)],[8528])).
% 12.02/8.36 tff(8530,plain,
% 12.02/8.36 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 12.02/8.36 inference(transitivity,[status(thm)],[8529, 8527])).
% 12.02/8.36 tff(8531,plain,
% 12.02/8.36 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s2) | node133(c_s, s2) | node134(c_s, s2) | node135(c_s, s2) | node136(c_s, s2) | node137(c_s, s2) | node138(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8532,plain,
% 12.02/8.36 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3) | (~node141(c_s, s2, s3))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 12.02/8.36 tff(8533,plain,
% 12.02/8.36 (node135(c_s, s2) | node137(c_s, s2) | node134(c_s, s2) | node136(c_s, s2) | node138(c_s, s2) | node132(c_s, s2) | node133(c_s, s2) | node139(c_s, s2) | node140(c_s, s2, s3)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8532, 3261, 8526])).
% 12.02/8.36 tff(8534,plain,
% 12.02/8.36 (node140(c_s, s2, s3)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8533, 8522, 8511, 8500, 8489, 8478, 8467, 8453, 8442])).
% 12.02/8.36 tff(8535,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8536,plain,
% 12.02/8.36 (((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract))) <=> (m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8537,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3))))),
% 12.02/8.36 inference(monotonicity,[status(thm)],[8536])).
% 12.02/8.36 tff(8538,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3)))),
% 12.02/8.36 inference(transitivity,[status(thm)],[8537, 8535])).
% 12.02/8.36 tff(8539,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8540,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s2, c_retract) | (~m_state_v_A2M(c_s, s3, c_retract)) | (~node140(c_s, s2, s3))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 12.02/8.36 tff(8541,plain,
% 12.02/8.36 (~m_state_v_A2M(c_s, s3, c_retract)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8540, 5541, 6904, 8534])).
% 12.02/8.36 tff(8542,plain,
% 12.02/8.36 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8543,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8544,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node151(c_s, s3))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 12.02/8.36 tff(8545,plain,
% 12.02/8.36 (~node151(c_s, s3)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8544, 6993, 8541])).
% 12.02/8.36 tff(8546,plain,
% 12.02/8.36 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8547,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8548,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node152(c_s, s3))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 12.02/8.36 tff(8549,plain,
% 12.02/8.36 (~node152(c_s, s3)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8548, 6911, 8541])).
% 12.02/8.36 tff(8550,plain,
% 12.02/8.36 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8551,plain,
% 12.02/8.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8552,plain,
% 12.02/8.36 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s3, s4)),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 12.02/8.36 tff(8553,plain,
% 12.02/8.36 (node159(c_s, s3, s4)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8552, 2729, 3365, 911])).
% 12.02/8.36 tff(8554,plain,
% 12.02/8.36 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8555,plain,
% 12.02/8.36 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8556,plain,
% 12.02/8.36 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4) | (~node159(c_s, s3, s4))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 12.02/8.36 tff(8557,plain,
% 12.02/8.36 (node150(c_s, s3) | node151(c_s, s3) | node152(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node155(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8556, 3478, 8553])).
% 12.02/8.36 tff(8558,plain,
% 12.02/8.36 (node150(c_s, s3) | node153(c_s, s3) | node154(c_s, s3) | node156(c_s, s3) | node157(c_s, s3) | node158(c_s, s3, s4)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8557, 8549, 8545, 8431])).
% 12.02/8.36 tff(8559,plain,
% 12.02/8.36 (node158(c_s, s3, s4)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8558, 8361, 8357, 8346, 8335, 8331])).
% 12.02/8.36 tff(8560,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8561,plain,
% 12.02/8.36 (((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise))) <=> (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8562,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4))))),
% 12.02/8.36 inference(monotonicity,[status(thm)],[8561])).
% 12.02/8.36 tff(8563,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(transitivity,[status(thm)],[8562, 8560])).
% 12.02/8.36 tff(8564,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8565,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_clockwise) | (~m_state_v_RRM(c_s, s4, c_clockwise)) | (~node158(c_s, s3, s4))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 12.02/8.36 tff(8566,plain,
% 12.02/8.36 (~m_state_v_RRM(c_s, s4, c_clockwise)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8565, 5151, 8559, 8320])).
% 12.02/8.36 tff(8567,plain,
% 12.02/8.36 (^[X: $i, J0: $i] : refl(((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)))),
% 12.02/8.36 inference(bind,[status(th)],[])).
% 12.02/8.36 tff(8568,plain,
% 12.02/8.36 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(quant_intro,[status(thm)],[8567])).
% 12.02/8.36 tff(8569,plain,
% 12.02/8.36 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8570,plain,
% 12.02/8.36 (^[X: $i, J0: $i] : rewrite((m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X))) <=> ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise)))),
% 12.02/8.36 inference(bind,[status(th)],[])).
% 12.02/8.36 tff(8571,plain,
% 12.02/8.36 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X))) <=> ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(quant_intro,[status(thm)],[8570])).
% 12.02/8.36 tff(8572,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node40(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_68')).
% 12.02/8.36 tff(8573,plain,
% 12.02/8.36 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 12.02/8.36 tff(8574,plain,
% 12.02/8.36 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8573, 8569])).
% 12.02/8.36 tff(8575,plain,(
% 12.02/8.36 ![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(skolemize,[status(sab)],[8574])).
% 12.02/8.36 tff(8576,plain,
% 12.02/8.36 (![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8575, 8568])).
% 12.02/8.36 tff(8577,plain,
% 12.02/8.36 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8578,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | ((~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8579,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_RRM(J0, X, c_clockwise))) | (~node40(c_s, s4)) | m_state_v_RRM(c_s, s4, c_clockwise)),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 12.02/8.36 tff(8580,plain,
% 12.02/8.36 (~node40(c_s, s4)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8579, 8576, 8566])).
% 12.02/8.36 tff(8581,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8582,plain,
% 12.02/8.36 (((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock))) <=> (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8583,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4))))),
% 12.02/8.36 inference(monotonicity,[status(thm)],[8582])).
% 12.02/8.36 tff(8584,plain,
% 12.02/8.36 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4)))),
% 12.02/8.36 inference(transitivity,[status(thm)],[8583, 8581])).
% 12.02/8.36 tff(8585,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s3, s4)) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)))),
% 12.02/8.36 inference(quant_inst,[status(thm)],[])).
% 12.02/8.36 tff(8586,plain,
% 12.02/8.36 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s3, c_counterclock) | (~m_state_v_RRM(c_s, s4, c_counterclock)) | (~node158(c_s, s3, s4))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 12.02/8.36 tff(8587,plain,
% 12.02/8.36 (~m_state_v_RRM(c_s, s4, c_counterclock)),
% 12.02/8.36 inference(unit_resolution,[status(thm)],[8586, 5151, 8559, 7028])).
% 12.02/8.36 tff(8588,plain,
% 12.02/8.36 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))))),
% 12.02/8.36 inference(bind,[status(th)],[])).
% 12.02/8.36 tff(8589,plain,
% 12.02/8.36 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 12.02/8.36 inference(quant_intro,[status(thm)],[8588])).
% 12.02/8.36 tff(8590,plain,
% 12.02/8.36 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8591,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_65')).
% 12.02/8.36 tff(8592,plain,
% 12.02/8.36 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 12.02/8.36 tff(8593,plain,(
% 12.02/8.36 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 12.02/8.36 inference(skolemize,[status(sab)],[8592])).
% 12.02/8.36 tff(8594,plain,
% 12.02/8.36 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))),
% 12.02/8.36 inference(modus_ponens,[status(thm)],[8593, 8589])).
% 12.02/8.36 tff(8595,plain,
% 12.02/8.36 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))),
% 12.02/8.36 inference(rewrite,[status(thm)],[])).
% 12.02/8.36 tff(8596,plain,
% 12.02/8.36 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8597,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node39(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node39(c_s, s4))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 12.11/8.37 tff(8598,plain,
% 12.11/8.37 (~node39(c_s, s4)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8597, 8594, 8587])).
% 12.11/8.37 tff(8599,plain,
% 12.11/8.37 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8600,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8601,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s4)) | m_state_v_RRM(c_s, s4, c_counterclock)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 12.11/8.37 tff(8602,plain,
% 12.11/8.37 (~node37(c_s, s4)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8601, 2461, 8587])).
% 12.11/8.37 tff(8603,plain,
% 12.11/8.37 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))))),
% 12.11/8.37 inference(bind,[status(th)],[])).
% 12.11/8.37 tff(8604,plain,
% 12.11/8.37 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 12.11/8.37 inference(quant_intro,[status(thm)],[8603])).
% 12.11/8.37 tff(8605,plain,
% 12.11/8.37 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8606,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_62')).
% 12.11/8.37 tff(8607,plain,
% 12.11/8.37 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 12.11/8.37 tff(8608,plain,(
% 12.11/8.37 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 12.11/8.37 inference(skolemize,[status(sab)],[8607])).
% 12.11/8.37 tff(8609,plain,
% 12.11/8.37 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8608, 8604])).
% 12.11/8.37 tff(8610,plain,
% 12.11/8.37 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8611,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8612,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node38(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node38(c_s, s4))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 12.11/8.37 tff(8613,plain,
% 12.11/8.37 (~node38(c_s, s4)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8612, 8609, 8587])).
% 12.11/8.37 tff(8614,plain,
% 12.11/8.37 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8615,plain,
% 12.11/8.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8616,plain,
% 12.11/8.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s4, s5)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 12.11/8.37 tff(8617,plain,
% 12.11/8.37 (node42(c_s, s4, s5)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8616, 62, 2427, 1043])).
% 12.11/8.37 tff(8618,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8619,plain,
% 12.11/8.37 ((node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5))) <=> (node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8620,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4)))),
% 12.11/8.37 inference(monotonicity,[status(thm)],[8619])).
% 12.11/8.37 tff(8621,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4))),
% 12.11/8.37 inference(transitivity,[status(thm)],[8620, 8618])).
% 12.11/8.37 tff(8622,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s4) | node38(c_s, s4) | node39(c_s, s4) | node40(c_s, s4) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8623,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s4, s5) | (~node42(c_s, s4, s5)) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 12.11/8.37 tff(8624,plain,
% 12.11/8.37 (node41(c_s, s4, s5) | node40(c_s, s4) | node39(c_s, s4) | node37(c_s, s4) | node38(c_s, s4)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8623, 2550, 8617])).
% 12.11/8.37 tff(8625,plain,
% 12.11/8.37 (node41(c_s, s4, s5)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8624, 8613, 8602, 8598, 8580])).
% 12.11/8.37 tff(8626,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8627,plain,
% 12.11/8.37 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress))) <=> (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8628,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4))))),
% 12.11/8.37 inference(monotonicity,[status(thm)],[8627])).
% 12.11/8.37 tff(8629,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4)))),
% 12.11/8.37 inference(transitivity,[status(thm)],[8628, 8626])).
% 12.11/8.37 tff(8630,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8631,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm1topress) | (~m_state_v_angle(c_s, s4, c_arm1topress)) | (~node41(c_s, s3, s4))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 12.11/8.37 tff(8632,plain,
% 12.11/8.37 (~m_state_v_angle(c_s, s4, c_arm1topress)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8631, 2567, 7066, 7044])).
% 12.11/8.37 tff(8633,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8634,plain,
% 12.11/8.37 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8635,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5))))),
% 12.11/8.37 inference(monotonicity,[status(thm)],[8634])).
% 12.11/8.37 tff(8636,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5)))),
% 12.11/8.37 inference(transitivity,[status(thm)],[8635, 8633])).
% 12.11/8.37 tff(8637,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~m_state_v_angle(c_s, s5, c_arm1topress)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8638,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm1topress)) | m_state_v_angle(c_s, s4, c_arm1topress) | (~node41(c_s, s4, s5))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 12.11/8.37 tff(8639,plain,
% 12.11/8.37 (~m_state_v_angle(c_s, s5, c_arm1topress)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8638, 2567, 8632, 8625])).
% 12.11/8.37 tff(8640,plain,
% 12.11/8.37 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm1topress))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8641,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm1topress))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8642,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm1topress)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8641, 8640])).
% 12.11/8.37 tff(8643,plain,
% 12.11/8.37 (~node30(c_s, s5)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8642, 2584, 8639])).
% 12.11/8.37 tff(8644,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s5, c_retract) | node29(c_s, s5) | node30(c_s, s5) | node31(c_s, s5, s6) | (~node32(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s5, c_retract) | node29(c_s, s5) | node30(c_s, s5) | node31(c_s, s5, s6) | (~node32(c_s, s5, s6)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8645,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s5, c_retract) | node29(c_s, s5) | node30(c_s, s5) | node31(c_s, s5, s6) | (~node32(c_s, s5, s6)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8646,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s5, c_retract) | node29(c_s, s5) | node30(c_s, s5) | node31(c_s, s5, s6) | (~node32(c_s, s5, s6))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 12.11/8.37 tff(8647,plain,
% 12.11/8.37 (node31(c_s, s5, s6)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8646, 3043, 8219, 8643, 8313, 8305])).
% 12.11/8.37 tff(8648,plain,
% 12.11/8.37 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8649,plain,
% 12.11/8.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8650,plain,
% 12.11/8.37 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s4, s5)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8649, 8648])).
% 12.11/8.37 tff(8651,plain,
% 12.11/8.37 (node32(c_s, s4, s5)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8650, 62, 2598, 1043])).
% 12.11/8.37 tff(8652,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8653,plain,
% 12.11/8.37 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend))) <=> (m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8654,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend))))),
% 12.11/8.37 inference(monotonicity,[status(thm)],[8653])).
% 12.11/8.37 tff(8655,plain,
% 12.11/8.37 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)))),
% 12.11/8.37 inference(transitivity,[status(thm)],[8654, 8652])).
% 12.11/8.37 tff(8656,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node32(c_s, s4, s5)) | m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_A1M(c_s, s4, c_extend)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8657,plain,
% 12.11/8.37 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s5, c_ot) | (~node32(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 12.11/8.37 tff(8658,plain,
% 12.11/8.37 (m_state_v_a1ext(c_s, s5, c_ot) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend))),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8657, 2683, 8651])).
% 12.11/8.37 tff(8659,plain,
% 12.11/8.37 (m_state_v_a1ext(c_s, s5, c_ot)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8658, 7878, 7051])).
% 12.11/8.37 tff(8660,plain,
% 12.11/8.37 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8661,plain,
% 12.11/8.37 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8662,plain,
% 12.11/8.37 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_a1ext(c_s, s5, c_retracted))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 12.11/8.37 tff(8663,plain,
% 12.11/8.37 (~m_state_v_a1ext(c_s, s5, c_retracted)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8662, 2652, 8659])).
% 12.11/8.37 tff(8664,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8665,plain,
% 12.11/8.37 (((~node31(c_s, s5, s6)) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted))) <=> (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6)))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8666,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s5, s6)) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | (m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6))))),
% 12.11/8.37 inference(monotonicity,[status(thm)],[8665])).
% 12.11/8.37 tff(8667,plain,
% 12.11/8.37 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s5, s6)) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6)))),
% 12.11/8.37 inference(transitivity,[status(thm)],[8666, 8664])).
% 12.11/8.37 tff(8668,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | ((~node31(c_s, s5, s6)) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8669,plain,
% 12.11/8.37 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | m_state_v_a1ext(J0, X, V) | (~m_state_v_a1ext(J0, Y, V)))) | m_state_v_a1ext(c_s, s5, c_retracted) | (~m_state_v_a1ext(c_s, s6, c_retracted)) | (~node31(c_s, s5, s6))),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 12.11/8.37 tff(8670,plain,
% 12.11/8.37 (~m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8669, 3068, 8663, 8647])).
% 12.11/8.37 tff(8671,plain,
% 12.11/8.37 (((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.11/8.37 inference(rewrite,[status(thm)],[])).
% 12.11/8.37 tff(8672,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | ((~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.11/8.37 inference(quant_inst,[status(thm)],[])).
% 12.11/8.37 tff(8673,plain,
% 12.11/8.37 ((~![X: $i, J0: $i] : ((~node1(J0, X)) | m_state_v_a1ext(J0, X, c_retracted))) | (~node1(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.11/8.37 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 12.11/8.37 tff(8674,plain,
% 12.11/8.37 (~node1(c_s, s6)),
% 12.11/8.37 inference(unit_resolution,[status(thm)],[8673, 2170, 8670])).
% 12.11/8.37 tff(8675,assumption,(~node19(c_s, s5, s6)), introduced(assumption)).
% 12.11/8.37 tff(8676,assumption,(~m_state_v_FBM(c_s, s5, c_on)), introduced(assumption)).
% 12.11/8.37 tff(8677,plain,
% 12.11/8.37 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8678,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8679,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node18(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node18(c_s, s5))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 12.11/8.38 tff(8680,plain,
% 12.11/8.38 (~node18(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8679, 6555, 8676])).
% 12.11/8.38 tff(8681,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8682,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | (m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8683,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_FBM(J0, X, c_on) | (~node17(J0, X)))) | m_state_v_FBM(c_s, s5, c_on) | (~node17(c_s, s5))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 12.11/8.38 tff(8684,plain,
% 12.11/8.38 (~node17(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8683, 6461, 8676])).
% 12.11/8.38 tff(8685,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8686,plain,
% 12.11/8.38 (((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s))) <=> ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8687,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8686])).
% 12.11/8.38 tff(8688,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8687, 8685])).
% 12.11/8.38 tff(8689,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | ((~trans(s5, s6)) | node20(c_s, s5, s6) | (~m_Sensor_v_s(c_SEN, c_s)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8690,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node20(J0, X, Y) | (~m_Sensor_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node20(c_s, s5, s6)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 12.11/8.38 tff(8691,plain,
% 12.11/8.38 (node20(c_s, s5, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8690, 62, 6475, 14])).
% 12.11/8.38 tff(8692,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8693,plain,
% 12.11/8.38 ((node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6))) <=> (node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8694,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8693])).
% 12.11/8.38 tff(8695,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8694, 8692])).
% 12.11/8.38 tff(8696,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | (node17(c_s, s5) | node18(c_s, s5) | node19(c_s, s5, s6) | (~node20(c_s, s5, s6)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8697,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : (node17(J0, X) | node18(J0, X) | node19(J0, X, Y) | (~node20(J0, X, Y)))) | node18(c_s, s5) | (~node20(c_s, s5, s6)) | node19(c_s, s5, s6) | node17(c_s, s5)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8696, 8695])).
% 12.11/8.38 tff(8698,plain,
% 12.11/8.38 (node18(c_s, s5) | node19(c_s, s5, s6) | node17(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8697, 6492, 8691])).
% 12.11/8.38 tff(8699,plain,
% 12.11/8.38 ($false),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8698, 8684, 8680, 8675])).
% 12.11/8.38 tff(8700,plain,(m_state_v_FBM(c_s, s5, c_on) | node19(c_s, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 12.11/8.38 tff(8701,plain,
% 12.11/8.38 (node19(c_s, s5, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8700, 4359])).
% 12.11/8.38 tff(8702,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8703,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | ((~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8704,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node19(J0, X, Y)) | m_state_v_pfl(J0, Y))) | (~m_state_v_pfl(c_s, s5)) | (~node19(c_s, s5, s6)) | m_state_v_pfl(c_s, s6)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 12.11/8.38 tff(8705,plain,
% 12.11/8.38 (m_state_v_pfl(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8704, 6576, 6817, 8701])).
% 12.11/8.38 tff(8706,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8707,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | ((~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8708,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_pfl(J0, X)) | (~node2(J0, X)))) | (~m_state_v_pfl(c_s, s6)) | (~node2(c_s, s6))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 12.11/8.38 tff(8709,plain,
% 12.11/8.38 (~node2(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8708, 1417, 8705])).
% 12.11/8.38 tff(8710,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8711,plain,
% 12.11/8.38 ((node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7))) <=> ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8712,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8711])).
% 12.11/8.38 tff(8713,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8712, 8710])).
% 12.11/8.38 tff(8714,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s6, s7) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s6, s7)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8715,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s6, s7)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s6, s7)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 12.11/8.38 tff(8716,plain,
% 12.11/8.38 (node4(c_s, s6, s7)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8715, 1360, 1357, 2095])).
% 12.11/8.38 tff(8717,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8718,plain,
% 12.11/8.38 ((node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7))) <=> (node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8719,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8718])).
% 12.11/8.38 tff(8720,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8719, 8717])).
% 12.11/8.38 tff(8721,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | (node1(c_s, s6) | node2(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8722,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : (node1(J0, X) | node2(J0, X) | node3(J0, X, Y) | (~node4(J0, X, Y)))) | node1(c_s, s6) | node3(c_s, s6, s7) | (~node4(c_s, s6, s7)) | node2(c_s, s6)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 12.11/8.38 tff(8723,plain,
% 12.11/8.38 (node1(c_s, s6) | node3(c_s, s6, s7) | node2(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8722, 1431, 8716])).
% 12.11/8.38 tff(8724,plain,
% 12.11/8.38 (node1(c_s, s6) | node3(c_s, s6, s7)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8723, 8709])).
% 12.11/8.38 tff(8725,plain,
% 12.11/8.38 (node3(c_s, s6, s7)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8724, 8674])).
% 12.11/8.38 tff(8726,assumption,(~m_state_v_tl(c_s, s7)), introduced(assumption)).
% 12.11/8.38 tff(8727,assumption,(node3(c_s, s6, s7)), introduced(assumption)).
% 12.11/8.38 tff(8728,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8729,plain,
% 12.11/8.38 (((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7)) <=> ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8730,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7))))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8729])).
% 12.11/8.38 tff(8731,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7)))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8730, 8728])).
% 12.11/8.38 tff(8732,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | ((~node3(c_s, s6, s7)) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8733,plain,
% 12.11/8.38 ((~![Y: $i, X: $i, J0: $i] : ((~node3(J0, X, Y)) | (~m_state_v_tl(J0, X)) | m_state_v_tl(J0, Y))) | (~m_state_v_tl(c_s, s6)) | m_state_v_tl(c_s, s7) | (~node3(c_s, s6, s7))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8732, 8731])).
% 12.11/8.38 tff(8734,plain,
% 12.11/8.38 ($false),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8733, 1448, 8247, 8727, 8726])).
% 12.11/8.38 tff(8735,plain,((~node3(c_s, s6, s7)) | m_state_v_tl(c_s, s7)), inference(lemma,lemma(discharge,[]))).
% 12.11/8.38 tff(8736,plain,
% 12.11/8.38 (m_state_v_tl(c_s, s7)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8735, 8725])).
% 12.11/8.38 tff(8737,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8738,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8739,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node166(c_s, s7))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 12.11/8.38 tff(8740,plain,
% 12.11/8.38 (~node166(c_s, s7)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8739, 4135, 8736])).
% 12.11/8.38 tff(8741,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8742,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8743,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s6)) | (~node166(c_s, s6))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 12.11/8.38 tff(8744,plain,
% 12.11/8.38 (~node166(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8743, 4135, 8247])).
% 12.11/8.38 tff(8745,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8746,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node167(c_s, s6)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8747,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node167(c_s, s6))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 12.11/8.38 tff(8748,plain,
% 12.11/8.38 (~node167(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8747, 4655, 5759])).
% 12.11/8.38 tff(8749,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node164(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node164(c_s, s6)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8750,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s6) | (~node164(c_s, s6)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8751,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s6) | (~node164(c_s, s6))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 12.11/8.38 tff(8752,plain,
% 12.11/8.38 (~node164(c_s, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8751, 4644, 5759])).
% 12.11/8.38 tff(8753,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s5)) | m_state_v_minRot(c_s, s5))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s5)) | m_state_v_minRot(c_s, s5))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8754,plain,
% 12.11/8.38 ((m_state_v_minRot(c_s, s5) | (~node167(c_s, s5))) <=> ((~node167(c_s, s5)) | m_state_v_minRot(c_s, s5))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8755,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | ((~node167(c_s, s5)) | m_state_v_minRot(c_s, s5)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8754])).
% 12.11/8.38 tff(8756,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s5)) | m_state_v_minRot(c_s, s5))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8755, 8753])).
% 12.11/8.38 tff(8757,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node167(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8758,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (~node167(c_s, s5)) | m_state_v_minRot(c_s, s5)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 12.11/8.38 tff(8759,plain,
% 12.11/8.38 (~node167(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8758, 4655, 4716])).
% 12.11/8.38 tff(8760,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8761,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | ((~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8762,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node166(J0, X)))) | (~m_state_v_tl(c_s, s5)) | (~node166(c_s, s5))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 12.11/8.38 tff(8763,plain,
% 12.11/8.38 (~node166(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8762, 4135, 6619])).
% 12.11/8.38 tff(8764,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node164(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node164(c_s, s5)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8765,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s5) | (~node164(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8766,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s5) | (~node164(c_s, s5))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 12.11/8.38 tff(8767,plain,
% 12.11/8.38 (~node164(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8766, 4644, 4716])).
% 12.11/8.38 tff(8768,plain,
% 12.11/8.38 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8769,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8770,plain,
% 12.11/8.38 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node165(c_s, s5))),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 12.11/8.38 tff(8771,plain,
% 12.11/8.38 (~node165(c_s, s5)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8770, 4670, 5740])).
% 12.11/8.38 tff(8772,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8773,plain,
% 12.11/8.38 (((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 12.11/8.38 inference(rewrite,[status(thm)],[])).
% 12.11/8.38 tff(8774,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6)))),
% 12.11/8.38 inference(monotonicity,[status(thm)],[8773])).
% 12.11/8.38 tff(8775,plain,
% 12.11/8.38 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6))),
% 12.11/8.38 inference(transitivity,[status(thm)],[8774, 8772])).
% 12.11/8.38 tff(8776,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s5, s6)) | node169(c_s, s5, s6) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 12.11/8.38 inference(quant_inst,[status(thm)],[])).
% 12.11/8.38 tff(8777,plain,
% 12.11/8.38 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s5, s6)),
% 12.11/8.38 inference(modus_ponens,[status(thm)],[8776, 8775])).
% 12.11/8.38 tff(8778,plain,
% 12.11/8.38 (node169(c_s, s5, s6)),
% 12.11/8.38 inference(unit_resolution,[status(thm)],[8777, 1505, 4047, 14])).
% 12.11/8.38 tff(8779,plain,
% 12.11/8.38 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8780,plain,
% 12.11/8.39 ((node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6))) <=> (node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8781,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8780])).
% 12.11/8.39 tff(8782,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8781, 8779])).
% 12.11/8.39 tff(8783,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node167(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8784,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6) | (~node169(c_s, s5, s6))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 12.11/8.39 tff(8785,plain,
% 12.11/8.39 (node167(c_s, s5) | node165(c_s, s5) | node166(c_s, s5) | node164(c_s, s5) | node168(c_s, s5, s6)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8784, 4149, 8778])).
% 12.11/8.39 tff(8786,plain,
% 12.11/8.39 (node168(c_s, s5, s6)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8785, 8771, 8767, 8763, 8759])).
% 12.11/8.39 tff(8787,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8788,plain,
% 12.11/8.39 (((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise))) <=> (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8789,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8788])).
% 12.11/8.39 tff(8790,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8789, 8787])).
% 12.11/8.39 tff(8791,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8792,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_clockwise) | (~m_state_v_TRM(c_s, s6, c_clockwise)) | (~node168(c_s, s5, s6))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 12.11/8.39 tff(8793,plain,
% 12.11/8.39 (~m_state_v_TRM(c_s, s6, c_clockwise)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8792, 4184, 5740, 8786])).
% 12.11/8.39 tff(8794,plain,
% 12.11/8.39 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8795,plain,
% 12.11/8.39 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8796,plain,
% 12.11/8.39 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node165(c_s, s6))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 12.11/8.39 tff(8797,plain,
% 12.11/8.39 (~node165(c_s, s6)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8796, 4670, 8793])).
% 12.11/8.39 tff(8798,plain,
% 12.11/8.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8799,plain,
% 12.11/8.39 (((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8800,plain,
% 12.11/8.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7)))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8799])).
% 12.11/8.39 tff(8801,plain,
% 12.11/8.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8800, 8798])).
% 12.11/8.39 tff(8802,plain,
% 12.11/8.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s6, s7)) | node169(c_s, s6, s7) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8803,plain,
% 12.11/8.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s6, s7)),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8802, 8801])).
% 12.11/8.39 tff(8804,plain,
% 12.11/8.39 (node169(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8803, 1505, 4047, 2095])).
% 12.11/8.39 tff(8805,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8806,plain,
% 12.11/8.39 ((node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7))) <=> (node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8807,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7)))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8806])).
% 12.11/8.39 tff(8808,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8807, 8805])).
% 12.11/8.39 tff(8809,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s6) | node165(c_s, s6) | node166(c_s, s6) | node167(c_s, s6) | node168(c_s, s6, s7) | (~node169(c_s, s6, s7)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8810,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | (~node169(c_s, s6, s7)) | node168(c_s, s6, s7)),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 12.11/8.39 tff(8811,plain,
% 12.11/8.39 (node166(c_s, s6) | node165(c_s, s6) | node167(c_s, s6) | node164(c_s, s6) | node168(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8810, 4149, 8804])).
% 12.11/8.39 tff(8812,plain,
% 12.11/8.39 (node168(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8811, 8797, 8752, 8748, 8744])).
% 12.11/8.39 tff(8813,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8814,plain,
% 12.11/8.39 (((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise))) <=> (m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8815,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8814])).
% 12.11/8.39 tff(8816,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8815, 8813])).
% 12.11/8.39 tff(8817,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8818,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_clockwise) | (~m_state_v_TRM(c_s, s7, c_clockwise)) | (~node168(c_s, s6, s7))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 12.11/8.39 tff(8819,plain,
% 12.11/8.39 (~m_state_v_TRM(c_s, s7, c_clockwise)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8818, 4184, 8793, 8812])).
% 12.11/8.39 tff(8820,plain,
% 12.11/8.39 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8821,plain,
% 12.11/8.39 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8822,plain,
% 12.11/8.39 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node165(c_s, s7))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 12.11/8.39 tff(8823,plain,
% 12.11/8.39 (~node165(c_s, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8822, 4670, 8819])).
% 12.11/8.39 tff(8824,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8825,plain,
% 12.11/8.39 (((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8826,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8825])).
% 12.11/8.39 tff(8827,plain,
% 12.11/8.39 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8826, 8824])).
% 12.11/8.39 tff(8828,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s5, s6)) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8829,plain,
% 12.11/8.39 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | (~m_state_v_TRM(c_s, s6, c_counterclockwise)) | (~node168(c_s, s5, s6))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8828, 8827])).
% 12.11/8.39 tff(8830,plain,
% 12.11/8.39 (~m_state_v_TRM(c_s, s6, c_counterclockwise)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8829, 4184, 5733, 8786])).
% 12.11/8.39 tff(8831,plain,
% 12.11/8.39 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8832,plain,
% 12.11/8.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8833,plain,
% 12.11/8.39 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s6, s7)),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8832, 8831])).
% 12.11/8.39 tff(8834,plain,
% 12.11/8.39 (node26(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8833, 62, 4201, 2095])).
% 12.11/8.39 tff(8835,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8836,plain,
% 12.11/8.39 ((node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise)) <=> (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8837,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8836])).
% 12.11/8.39 tff(8838,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8837, 8835])).
% 12.11/8.39 tff(8839,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s6, s7) | (~node26(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8840,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7) | (~node26(c_s, s6, s7))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8839, 8838])).
% 12.11/8.39 tff(8841,plain,
% 12.11/8.39 (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node25(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8840, 4304, 8834])).
% 12.11/8.39 tff(8842,plain,
% 12.11/8.39 (node25(c_s, s6, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8841, 8793, 8830])).
% 12.11/8.39 tff(8843,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8844,plain,
% 12.11/8.39 ((m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7))) <=> (m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7)))),
% 12.11/8.39 inference(rewrite,[status(thm)],[])).
% 12.11/8.39 tff(8845,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7))))),
% 12.11/8.39 inference(monotonicity,[status(thm)],[8844])).
% 12.11/8.39 tff(8846,plain,
% 12.11/8.39 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7)))),
% 12.11/8.39 inference(transitivity,[status(thm)],[8845, 8843])).
% 12.11/8.39 tff(8847,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s6) | (~node25(c_s, s6, s7)) | (~m_state_v_minRot(c_s, s7)))),
% 12.11/8.39 inference(quant_inst,[status(thm)],[])).
% 12.11/8.39 tff(8848,plain,
% 12.11/8.39 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | m_state_v_minRot(c_s, s6) | (~m_state_v_minRot(c_s, s7)) | (~node25(c_s, s6, s7))),
% 12.11/8.39 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 12.11/8.39 tff(8849,plain,
% 12.11/8.39 (~m_state_v_minRot(c_s, s7)),
% 12.11/8.39 inference(unit_resolution,[status(thm)],[8848, 4322, 5759, 8842])).
% 12.11/8.39 tff(8850,plain,
% 12.11/8.39 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node164(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node164(c_s, s7)))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8851,plain,
% 12.11/8.40 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node164(c_s, s7)))),
% 12.11/8.40 inference(quant_inst,[status(thm)],[])).
% 12.11/8.40 tff(8852,plain,
% 12.11/8.40 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node164(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node164(c_s, s7))),
% 12.11/8.40 inference(modus_ponens,[status(thm)],[8851, 8850])).
% 12.11/8.40 tff(8853,plain,
% 12.11/8.40 (~node164(c_s, s7)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8852, 4644, 8849])).
% 12.11/8.40 tff(8854,plain,
% 12.11/8.40 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8855,plain,
% 12.11/8.40 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node167(c_s, s7)))),
% 12.11/8.40 inference(quant_inst,[status(thm)],[])).
% 12.11/8.40 tff(8856,plain,
% 12.11/8.40 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node167(c_s, s7))),
% 12.11/8.40 inference(modus_ponens,[status(thm)],[8855, 8854])).
% 12.11/8.40 tff(8857,plain,
% 12.11/8.40 (~node167(c_s, s7)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8856, 4655, 8849])).
% 12.11/8.40 tff(8858,plain,
% 12.11/8.40 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8859,plain,
% 12.11/8.40 (((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s))) <=> ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8860,plain,
% 12.11/8.40 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8)))),
% 12.11/8.40 inference(monotonicity,[status(thm)],[8859])).
% 12.11/8.40 tff(8861,plain,
% 12.11/8.40 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8))),
% 12.11/8.40 inference(transitivity,[status(thm)],[8860, 8858])).
% 12.11/8.40 tff(8862,plain,
% 12.11/8.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | ((~trans(s7, s8)) | node169(c_s, s7, s8) | (~m_ERTable_v_s(c_ERT, c_s)))),
% 12.11/8.40 inference(quant_inst,[status(thm)],[])).
% 12.11/8.40 tff(8863,plain,
% 12.11/8.40 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node169(J0, X, Y) | (~m_ERTable_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node169(c_s, s7, s8)),
% 12.11/8.40 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 12.11/8.40 tff(8864,plain,
% 12.11/8.40 (node169(c_s, s7, s8)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8863, 1505, 4047, 4830])).
% 12.11/8.40 tff(8865,plain,
% 12.11/8.40 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8866,plain,
% 12.11/8.40 ((node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8))) <=> (node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8867,plain,
% 12.11/8.40 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8))))),
% 12.11/8.40 inference(monotonicity,[status(thm)],[8866])).
% 12.11/8.40 tff(8868,plain,
% 12.11/8.40 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))),
% 12.11/8.40 inference(transitivity,[status(thm)],[8867, 8865])).
% 12.11/8.40 tff(8869,plain,
% 12.11/8.40 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node167(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8)))),
% 12.11/8.40 inference(quant_inst,[status(thm)],[])).
% 12.11/8.40 tff(8870,plain,
% 12.11/8.40 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8) | (~node169(c_s, s7, s8))),
% 12.11/8.40 inference(modus_ponens,[status(thm)],[8869, 8868])).
% 12.11/8.40 tff(8871,plain,
% 12.11/8.40 (node167(c_s, s7) | node165(c_s, s7) | node166(c_s, s7) | node164(c_s, s7) | node168(c_s, s7, s8)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8870, 4149, 8864])).
% 12.11/8.40 tff(8872,plain,
% 12.11/8.40 (node166(c_s, s7) | node168(c_s, s7, s8)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8871, 8857, 8853, 8823])).
% 12.11/8.40 tff(8873,plain,
% 12.11/8.40 (node168(c_s, s7, s8)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8872, 8740])).
% 12.11/8.40 tff(8874,assumption,(node168(c_s, s7, s8)), introduced(assumption)).
% 12.11/8.40 tff(8875,assumption,(~m_state_v_TRM(c_s, s8, c_idle)), introduced(assumption)).
% 12.11/8.40 tff(8876,plain,
% 12.11/8.40 (((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))),
% 12.11/8.40 inference(rewrite,[status(thm)],[])).
% 12.11/8.40 tff(8877,plain,
% 12.11/8.40 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | ((~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle)))),
% 12.11/8.40 inference(quant_inst,[status(thm)],[])).
% 12.11/8.40 tff(8878,plain,
% 12.11/8.40 ((~![I0: $i, X: $i] : ((~m_state_v_TRM(I0, X, c_clockwise)) | (~m_state_v_TRM(I0, X, c_idle)))) | (~m_state_v_TRM(c_s, s1, c_clockwise)) | (~m_state_v_TRM(c_s, s1, c_idle))),
% 12.11/8.40 inference(modus_ponens,[status(thm)],[8877, 8876])).
% 12.11/8.40 tff(8879,plain,
% 12.11/8.40 (~m_state_v_TRM(c_s, s1, c_idle)),
% 12.11/8.40 inference(unit_resolution,[status(thm)],[8878, 3979, 4078])).
% 12.11/8.40 tff(8880,plain,
% 12.11/8.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8881,plain,
% 12.15/8.40 (((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle))) <=> ((~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8882,plain,
% 12.15/8.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2))))),
% 12.15/8.40 inference(monotonicity,[status(thm)],[8881])).
% 12.15/8.40 tff(8883,plain,
% 12.15/8.40 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2)))),
% 12.15/8.40 inference(transitivity,[status(thm)],[8882, 8880])).
% 12.15/8.40 tff(8884,plain,
% 12.15/8.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s1, s2)) | m_state_v_TRM(c_s, s1, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)))),
% 12.15/8.40 inference(quant_inst,[status(thm)],[])).
% 12.15/8.40 tff(8885,plain,
% 12.15/8.40 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s1, c_idle) | (~node168(c_s, s1, s2))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 12.15/8.40 tff(8886,plain,
% 12.15/8.40 (~m_state_v_TRM(c_s, s2, c_idle)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8885, 4184, 8879, 4157])).
% 12.15/8.40 tff(8887,plain,
% 12.15/8.40 (^[X: $i, J0: $i] : refl((m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))))),
% 12.15/8.40 inference(bind,[status(th)],[])).
% 12.15/8.40 tff(8888,plain,
% 12.15/8.40 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 12.15/8.40 inference(quant_intro,[status(thm)],[8887])).
% 12.15/8.40 tff(8889,plain,
% 12.15/8.40 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8890,axiom,(![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_11')).
% 12.15/8.40 tff(8891,plain,
% 12.15/8.40 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 12.15/8.40 tff(8892,plain,(
% 12.15/8.40 ![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 12.15/8.40 inference(skolemize,[status(sab)],[8891])).
% 12.15/8.40 tff(8893,plain,
% 12.15/8.40 (![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8892, 8888])).
% 12.15/8.40 tff(8894,plain,
% 12.15/8.40 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s2, c_idle) | (~node166(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s2, c_idle) | (~node166(c_s, s2)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8895,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | (m_state_v_TRM(c_s, s2, c_idle) | (~node166(c_s, s2)))),
% 12.15/8.40 inference(quant_inst,[status(thm)],[])).
% 12.15/8.40 tff(8896,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_idle) | (~node166(J0, X)))) | m_state_v_TRM(c_s, s2, c_idle) | (~node166(c_s, s2))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 12.15/8.40 tff(8897,plain,
% 12.15/8.40 (~node166(c_s, s2)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8896, 8893, 8886])).
% 12.15/8.40 tff(8898,assumption,(~m_state_v_TRM(c_s, s4, c_idle)), introduced(assumption)).
% 12.15/8.40 tff(8899,assumption,(~node164(c_s, s3)), introduced(assumption)).
% 12.15/8.40 tff(8900,assumption,(~node166(c_s, s3)), introduced(assumption)).
% 12.15/8.40 tff(8901,assumption,(node165(c_s, s3)), introduced(assumption)).
% 12.15/8.40 tff(8902,plain,
% 12.15/8.40 (m_state_v_TRM(c_s, s3, c_clockwise)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[4673, 4670, 8901])).
% 12.15/8.40 tff(8903,plain,
% 12.15/8.40 (((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s3) | (~node165(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s3) | (~node165(c_s, s3)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8904,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | (m_state_v_maxRot(c_s, s3) | (~node165(c_s, s3)))),
% 12.15/8.40 inference(quant_inst,[status(thm)],[])).
% 12.15/8.40 tff(8905,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_maxRot(J0, X) | (~node165(J0, X)))) | m_state_v_maxRot(c_s, s3) | (~node165(c_s, s3))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 12.15/8.40 tff(8906,plain,
% 12.15/8.40 (m_state_v_maxRot(c_s, s3)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8905, 4033, 8901])).
% 12.15/8.40 tff(8907,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8908,plain,
% 12.15/8.40 (((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4))) <=> ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8909,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle)))),
% 12.15/8.40 inference(monotonicity,[status(thm)],[8908])).
% 12.15/8.40 tff(8910,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.40 inference(transitivity,[status(thm)],[8909, 8907])).
% 12.15/8.40 tff(8911,plain,
% 12.15/8.40 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))),
% 12.15/8.40 inference(quant_inst,[status(thm)],[])).
% 12.15/8.40 tff(8912,plain,
% 12.15/8.40 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | (~m_state_v_maxRot(J0, X)) | node164(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | (~node169(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle)),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 12.15/8.40 tff(8913,plain,
% 12.15/8.40 ((~m_state_v_TRM(c_s, s3, c_clockwise)) | (~m_state_v_maxRot(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8912, 4273, 4678])).
% 12.15/8.40 tff(8914,plain,
% 12.15/8.40 ($false),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8913, 8906, 8902, 8899, 8898])).
% 12.15/8.40 tff(8915,plain,((~node165(c_s, s3)) | node164(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.40 tff(8916,plain,
% 12.15/8.40 (~node165(c_s, s3)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8915, 8898, 8899])).
% 12.15/8.40 tff(8917,assumption,(~node165(c_s, s3)), introduced(assumption)).
% 12.15/8.40 tff(8918,assumption,(~node168(c_s, s3, s4)), introduced(assumption)).
% 12.15/8.40 tff(8919,plain,
% 12.15/8.40 (node167(c_s, s3)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[4682, 8917, 8899, 8900, 8918])).
% 12.15/8.40 tff(8920,plain,
% 12.15/8.40 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node167(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node167(c_s, s3)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8921,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node167(c_s, s3)))),
% 12.15/8.40 inference(quant_inst,[status(thm)],[])).
% 12.15/8.40 tff(8922,plain,
% 12.15/8.40 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~node167(c_s, s3))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8921, 8920])).
% 12.15/8.40 tff(8923,plain,
% 12.15/8.40 (m_state_v_TRM(c_s, s3, c_counterclockwise)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[8922, 4096, 8919])).
% 12.15/8.40 tff(8924,plain,
% 12.15/8.40 (m_state_v_minRot(c_s, s3)),
% 12.15/8.40 inference(unit_resolution,[status(thm)],[4658, 4655, 8919])).
% 12.15/8.40 tff(8925,plain,
% 12.15/8.40 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))))),
% 12.15/8.40 inference(bind,[status(th)],[])).
% 12.15/8.40 tff(8926,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(quant_intro,[status(thm)],[8925])).
% 12.15/8.40 tff(8927,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8928,plain,
% 12.15/8.40 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node164(J0, X) | node165(J0, X)) | node166(J0, X)) <=> (node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))), rewrite(((node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X))), ((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) <=> (((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_minRot(J0, X))))), rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | (~m_state_v_minRot(J0, X))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X))), (((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> (((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | m_state_v_TRM(J0, Y, c_idle)))), rewrite((((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X)) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle))), ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)))), (((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> (((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))))), rewrite((((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))), (((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))))),
% 12.15/8.40 inference(bind,[status(th)],[])).
% 12.15/8.40 tff(8929,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(quant_intro,[status(thm)],[8928])).
% 12.15/8.40 tff(8930,axiom,(![Y: $i, X: $i, J0: $i] : ((((((node164(J0, X) | node165(J0, X)) | node166(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) | (~m_state_v_minRot(J0, X))) | m_state_v_TRM(J0, Y, c_idle)) | (~node169(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_20')).
% 12.15/8.40 tff(8931,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8930, 8929])).
% 12.15/8.40 tff(8932,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8931, 8927])).
% 12.15/8.40 tff(8933,plain,(
% 12.15/8.40 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(skolemize,[status(sab)],[8932])).
% 12.15/8.40 tff(8934,plain,
% 12.15/8.40 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))),
% 12.15/8.40 inference(modus_ponens,[status(thm)],[8933, 8926])).
% 12.15/8.40 tff(8935,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8936,plain,
% 12.15/8.40 (((~m_state_v_minRot(c_s, s3)) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4))) <=> ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.40 inference(rewrite,[status(thm)],[])).
% 12.15/8.40 tff(8937,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s3)) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle)))),
% 12.15/8.40 inference(monotonicity,[status(thm)],[8936])).
% 12.15/8.40 tff(8938,plain,
% 12.15/8.40 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s3)) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.41 inference(transitivity,[status(thm)],[8937, 8935])).
% 12.15/8.41 tff(8939,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s3)) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | (~node169(c_s, s3, s4)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8940,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~node169(c_s, s3, s4)) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle)),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 12.15/8.41 tff(8941,plain,
% 12.15/8.41 ((~m_state_v_TRM(c_s, s3, c_counterclockwise)) | node164(c_s, s3) | node165(c_s, s3) | node166(c_s, s3) | (~m_state_v_minRot(c_s, s3)) | m_state_v_TRM(c_s, s4, c_idle)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8940, 8934, 4678])).
% 12.15/8.41 tff(8942,plain,
% 12.15/8.41 ($false),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8941, 8924, 8923, 8899, 8900, 8917, 8898])).
% 12.15/8.41 tff(8943,plain,(node165(c_s, s3) | node164(c_s, s3) | node166(c_s, s3) | m_state_v_TRM(c_s, s4, c_idle) | node168(c_s, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.41 tff(8944,plain,
% 12.15/8.41 (node168(c_s, s3, s4)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8943, 8916, 8900, 8898, 8899])).
% 12.15/8.41 tff(8945,assumption,(m_state_v_TRM(c_s, s3, c_idle)), introduced(assumption)).
% 12.15/8.41 tff(8946,assumption,(node168(c_s, s3, s4)), introduced(assumption)).
% 12.15/8.41 tff(8947,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8948,plain,
% 12.15/8.41 (((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle)) <=> (m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8949,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4))))),
% 12.15/8.41 inference(monotonicity,[status(thm)],[8948])).
% 12.15/8.41 tff(8950,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4)))),
% 12.15/8.41 inference(transitivity,[status(thm)],[8949, 8947])).
% 12.15/8.41 tff(8951,plain,
% 12.15/8.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s3, s4)) | (~m_state_v_TRM(c_s, s3, c_idle)) | m_state_v_TRM(c_s, s4, c_idle))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8952,plain,
% 12.15/8.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s4, c_idle) | (~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 12.15/8.41 tff(8953,plain,
% 12.15/8.41 ($false),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8952, 4167, 8946, 8898, 8945])).
% 12.15/8.41 tff(8954,plain,((~m_state_v_TRM(c_s, s3, c_idle)) | (~node168(c_s, s3, s4)) | m_state_v_TRM(c_s, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.41 tff(8955,plain,
% 12.15/8.41 (~m_state_v_TRM(c_s, s3, c_idle)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8954, 8944, 8898])).
% 12.15/8.41 tff(8956,plain,
% 12.15/8.41 (~m_state_v_TRM(c_s, s2, c_clockwise)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[4280, 8955, 4256, 4234])).
% 12.15/8.41 tff(8957,plain,
% 12.15/8.41 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s2, c_clockwise) | (~node165(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node165(c_s, s2)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8958,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | (m_state_v_TRM(c_s, s2, c_clockwise) | (~node165(c_s, s2)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8959,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_clockwise) | (~node165(J0, X)))) | m_state_v_TRM(c_s, s2, c_clockwise) | (~node165(c_s, s2))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 12.15/8.41 tff(8960,plain,
% 12.15/8.41 (~node165(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8959, 4670, 8956])).
% 12.15/8.41 tff(8961,assumption,(~node166(c_s, s2)), introduced(assumption)).
% 12.15/8.41 tff(8962,assumption,(~m_state_v_TRM(c_s, s3, c_idle)), introduced(assumption)).
% 12.15/8.41 tff(8963,plain,
% 12.15/8.41 (~m_state_v_TRM(c_s, s2, c_clockwise)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[4280, 8962, 4256, 4234])).
% 12.15/8.41 tff(8964,plain,
% 12.15/8.41 (~node165(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8959, 4670, 8963])).
% 12.15/8.41 tff(8965,assumption,(~m_state_v_TRM(c_s, s2, c_counterclockwise)), introduced(assumption)).
% 12.15/8.41 tff(8966,plain,
% 12.15/8.41 (((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s2, c_counterclockwise) | (~node167(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~node167(c_s, s2)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8967,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | (m_state_v_TRM(c_s, s2, c_counterclockwise) | (~node167(c_s, s2)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8968,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | (~node167(J0, X)))) | m_state_v_TRM(c_s, s2, c_counterclockwise) | (~node167(c_s, s2))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 12.15/8.41 tff(8969,plain,
% 12.15/8.41 (~node167(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8968, 4096, 8965])).
% 12.15/8.41 tff(8970,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8971,plain,
% 12.15/8.41 ((node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node168(c_s, s2, s3) | (~node169(c_s, s2, s3))) <=> (node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8972,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node168(c_s, s2, s3) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3)))),
% 12.15/8.41 inference(monotonicity,[status(thm)],[8971])).
% 12.15/8.41 tff(8973,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node168(c_s, s2, s3) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3))),
% 12.15/8.41 inference(transitivity,[status(thm)],[8972, 8970])).
% 12.15/8.41 tff(8974,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | (node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node168(c_s, s2, s3) | (~node169(c_s, s2, s3)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8975,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : (node164(J0, X) | node165(J0, X) | node166(J0, X) | node167(J0, X) | node168(J0, X, Y) | (~node169(J0, X, Y)))) | node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | (~node169(c_s, s2, s3)) | node168(c_s, s2, s3)),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8974, 8973])).
% 12.15/8.41 tff(8976,plain,
% 12.15/8.41 (node164(c_s, s2) | node166(c_s, s2) | node167(c_s, s2) | node165(c_s, s2) | node168(c_s, s2, s3)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8975, 4149, 4263])).
% 12.15/8.41 tff(8977,plain,
% 12.15/8.41 (node168(c_s, s2, s3)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8976, 8969, 4234, 8961, 8964])).
% 12.15/8.41 tff(8978,plain,
% 12.15/8.41 (^[I0: $i, X: $i] : refl((m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)))),
% 12.15/8.41 inference(bind,[status(th)],[])).
% 12.15/8.41 tff(8979,plain,
% 12.15/8.41 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(quant_intro,[status(thm)],[8978])).
% 12.15/8.41 tff(8980,plain,
% 12.15/8.41 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8981,plain,
% 12.15/8.41 (^[I0: $i, X: $i] : rewrite(((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle)) <=> (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise)))),
% 12.15/8.41 inference(bind,[status(th)],[])).
% 12.15/8.41 tff(8982,plain,
% 12.15/8.41 (![I0: $i, X: $i] : ((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(quant_intro,[status(thm)],[8981])).
% 12.15/8.41 tff(8983,axiom,(![I0: $i, X: $i] : ((m_state_v_TRM(I0, X, c_clockwise) | m_state_v_TRM(I0, X, c_counterclockwise)) | m_state_v_TRM(I0, X, c_idle))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_39')).
% 12.15/8.41 tff(8984,plain,
% 12.15/8.41 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 12.15/8.41 tff(8985,plain,
% 12.15/8.41 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8984, 8980])).
% 12.15/8.41 tff(8986,plain,(
% 12.15/8.41 ![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(skolemize,[status(sab)],[8985])).
% 12.15/8.41 tff(8987,plain,
% 12.15/8.41 (![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8986, 8979])).
% 12.15/8.41 tff(8988,plain,
% 12.15/8.41 (((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | (m_state_v_TRM(c_s, s2, c_idle) | m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s2, c_clockwise))) <=> ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | m_state_v_TRM(c_s, s2, c_idle) | m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s2, c_clockwise))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8989,plain,
% 12.15/8.41 ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | (m_state_v_TRM(c_s, s2, c_idle) | m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s2, c_clockwise))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8990,plain,
% 12.15/8.41 ((~![I0: $i, X: $i] : (m_state_v_TRM(I0, X, c_idle) | m_state_v_TRM(I0, X, c_counterclockwise) | m_state_v_TRM(I0, X, c_clockwise))) | m_state_v_TRM(c_s, s2, c_idle) | m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s2, c_clockwise)),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 12.15/8.41 tff(8991,plain,
% 12.15/8.41 (m_state_v_TRM(c_s, s2, c_idle) | m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s2, c_clockwise)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8990, 8987])).
% 12.15/8.41 tff(8992,plain,
% 12.15/8.41 (m_state_v_TRM(c_s, s2, c_idle)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8991, 8965, 8963])).
% 12.15/8.41 tff(8993,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8994,plain,
% 12.15/8.41 (((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s3, c_idle)) <=> (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(8995,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3))))),
% 12.15/8.41 inference(monotonicity,[status(thm)],[8994])).
% 12.15/8.41 tff(8996,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3)))),
% 12.15/8.41 inference(transitivity,[status(thm)],[8995, 8993])).
% 12.15/8.41 tff(8997,plain,
% 12.15/8.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_idle)) | m_state_v_TRM(c_s, s3, c_idle))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(8998,plain,
% 12.15/8.41 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_TRM(c_s, s2, c_idle)) | (~node168(c_s, s2, s3))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 12.15/8.41 tff(8999,plain,
% 12.15/8.41 ($false),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8998, 4167, 8962, 8992, 8977])).
% 12.15/8.41 tff(9000,plain,(m_state_v_TRM(c_s, s2, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_idle) | node166(c_s, s2)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.41 tff(9001,plain,
% 12.15/8.41 (m_state_v_TRM(c_s, s2, c_counterclockwise)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9000, 8955, 8961])).
% 12.15/8.41 tff(9002,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9003,plain,
% 12.15/8.41 (((~m_state_v_minRot(c_s, s2)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3))) <=> (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9004,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s2)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3))))),
% 12.15/8.41 inference(monotonicity,[status(thm)],[9003])).
% 12.15/8.41 tff(9005,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s2)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3)))),
% 12.15/8.41 inference(transitivity,[status(thm)],[9004, 9002])).
% 12.15/8.41 tff(9006,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | ((~m_state_v_minRot(c_s, s2)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node164(c_s, s2) | node165(c_s, s2) | node166(c_s, s2) | m_state_v_TRM(c_s, s3, c_idle) | (~node169(c_s, s2, s3)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(9007,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_minRot(J0, X)) | (~m_state_v_TRM(J0, X, c_counterclockwise)) | node164(J0, X) | node165(J0, X) | node166(J0, X) | m_state_v_TRM(J0, Y, c_idle) | (~node169(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2) | (~node169(c_s, s2, s3))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 12.15/8.41 tff(9008,plain,
% 12.15/8.41 (m_state_v_TRM(c_s, s3, c_idle) | (~m_state_v_minRot(c_s, s2)) | node164(c_s, s2) | node166(c_s, s2) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | node165(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9007, 8934, 4263])).
% 12.15/8.41 tff(9009,plain,
% 12.15/8.41 (~m_state_v_minRot(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9008, 9001, 8955, 4234, 8961, 8960])).
% 12.15/8.41 tff(9010,plain,
% 12.15/8.41 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node167(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s2) | (~node167(c_s, s2)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9011,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | (m_state_v_minRot(c_s, s2) | (~node167(c_s, s2)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(9012,plain,
% 12.15/8.41 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node167(J0, X)))) | m_state_v_minRot(c_s, s2) | (~node167(c_s, s2))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 12.15/8.41 tff(9013,plain,
% 12.15/8.41 (~node167(c_s, s2)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9012, 4655, 9009])).
% 12.15/8.41 tff(9014,plain,
% 12.15/8.41 (node168(c_s, s2, s3)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8976, 9013, 4234, 8961, 8960])).
% 12.15/8.41 tff(9015,plain,
% 12.15/8.41 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))),
% 12.15/8.41 inference(bind,[status(th)],[])).
% 12.15/8.41 tff(9016,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(quant_intro,[status(thm)],[9015])).
% 12.15/8.41 tff(9017,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9018,plain,
% 12.15/8.41 (^[Y: $i, X: $i, J0: $i] : rewrite((((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y))) <=> (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise))))),
% 12.15/8.41 inference(bind,[status(th)],[])).
% 12.15/8.41 tff(9019,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(quant_intro,[status(thm)],[9018])).
% 12.15/8.41 tff(9020,axiom,(![Y: $i, X: $i, J0: $i] : (((~m_state_v_TRM(J0, X, c_counterclockwise)) | m_state_v_minRot(J0, Y)) | (~node26(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_26')).
% 12.15/8.41 tff(9021,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 12.15/8.41 tff(9022,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9021, 9017])).
% 12.15/8.41 tff(9023,plain,(
% 12.15/8.41 ![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(skolemize,[status(sab)],[9022])).
% 12.15/8.41 tff(9024,plain,
% 12.15/8.41 (![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9023, 9016])).
% 12.15/8.41 tff(9025,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9026,plain,
% 12.15/8.41 ((m_state_v_minRot(c_s, s3) | (~node26(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise))) <=> (m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3)))),
% 12.15/8.41 inference(rewrite,[status(thm)],[])).
% 12.15/8.41 tff(9027,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s3) | (~node26(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3))))),
% 12.15/8.41 inference(monotonicity,[status(thm)],[9026])).
% 12.15/8.41 tff(9028,plain,
% 12.15/8.41 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s3) | (~node26(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3)))),
% 12.15/8.41 inference(transitivity,[status(thm)],[9027, 9025])).
% 12.15/8.41 tff(9029,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | (m_state_v_minRot(c_s, s3) | (~node26(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)))),
% 12.15/8.41 inference(quant_inst,[status(thm)],[])).
% 12.15/8.41 tff(9030,plain,
% 12.15/8.41 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, Y) | (~node26(J0, X, Y)) | (~m_state_v_TRM(J0, X, c_counterclockwise)))) | m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node26(c_s, s2, s3))),
% 12.15/8.41 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 12.15/8.41 tff(9031,plain,
% 12.15/8.41 (m_state_v_minRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_counterclockwise))),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9030, 9024, 4205])).
% 12.15/8.41 tff(9032,plain,
% 12.15/8.41 (m_state_v_minRot(c_s, s3)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[9031, 9001])).
% 12.15/8.41 tff(9033,plain,
% 12.15/8.41 (~m_state_v_TRM(c_s, s3, c_counterclockwise)),
% 12.15/8.41 inference(unit_resolution,[status(thm)],[8941, 9032, 8899, 8900, 8916, 8898])).
% 12.15/8.41 tff(9034,plain,
% 12.15/8.41 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9035,plain,
% 12.15/8.42 (((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | m_state_v_TRM(c_s, s3, c_counterclockwise)) <=> (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9036,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | m_state_v_TRM(c_s, s3, c_counterclockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9035])).
% 12.15/8.42 tff(9037,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | m_state_v_TRM(c_s, s3, c_counterclockwise))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9036, 9034])).
% 12.15/8.42 tff(9038,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s2, s3)) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | m_state_v_TRM(c_s, s3, c_counterclockwise))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9039,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | (~m_state_v_TRM(c_s, s2, c_counterclockwise)) | (~node168(c_s, s2, s3))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 12.15/8.42 tff(9040,plain,
% 12.15/8.42 ($false),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9039, 4167, 9033, 9001, 9014])).
% 12.15/8.42 tff(9041,plain,(m_state_v_TRM(c_s, s4, c_idle) | node166(c_s, s2) | node164(c_s, s3) | node166(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.42 tff(9042,plain,
% 12.15/8.42 (m_state_v_TRM(c_s, s4, c_idle)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9041, 4648, 4663, 8897])).
% 12.15/8.42 tff(9043,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9044,plain,
% 12.15/8.42 (((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle)) <=> (m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9045,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9044])).
% 12.15/8.42 tff(9046,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9045, 9043])).
% 12.15/8.42 tff(9047,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s4, s5)) | (~m_state_v_TRM(c_s, s4, c_idle)) | m_state_v_TRM(c_s, s5, c_idle))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9048,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s5, c_idle) | (~m_state_v_TRM(c_s, s4, c_idle)) | (~node168(c_s, s4, s5))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 12.15/8.42 tff(9049,plain,
% 12.15/8.42 (m_state_v_TRM(c_s, s5, c_idle)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9048, 4167, 9042, 5726])).
% 12.15/8.42 tff(9050,assumption,(node168(c_s, s5, s6)), introduced(assumption)).
% 12.15/8.42 tff(9051,assumption,(~m_state_v_TRM(c_s, s6, c_idle)), introduced(assumption)).
% 12.15/8.42 tff(9052,assumption,(m_state_v_TRM(c_s, s5, c_idle)), introduced(assumption)).
% 12.15/8.42 tff(9053,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9054,plain,
% 12.15/8.42 (((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle)) <=> (m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9055,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9054])).
% 12.15/8.42 tff(9056,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9055, 9053])).
% 12.15/8.42 tff(9057,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9058,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s6, c_idle) | (~m_state_v_TRM(c_s, s5, c_idle)) | (~node168(c_s, s5, s6))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9057, 9056])).
% 12.15/8.42 tff(9059,plain,
% 12.15/8.42 ($false),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9058, 4167, 9052, 9051, 9050])).
% 12.15/8.42 tff(9060,plain,((~node168(c_s, s5, s6)) | (~m_state_v_TRM(c_s, s5, c_idle)) | m_state_v_TRM(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.42 tff(9061,plain,
% 12.15/8.42 (m_state_v_TRM(c_s, s6, c_idle)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9060, 8786, 9049])).
% 12.15/8.42 tff(9062,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9063,plain,
% 12.15/8.42 (((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle)) <=> (m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9064,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9063])).
% 12.15/8.42 tff(9065,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9064, 9062])).
% 12.15/8.42 tff(9066,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s6, s7)) | (~m_state_v_TRM(c_s, s6, c_idle)) | m_state_v_TRM(c_s, s7, c_idle))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9067,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s7, c_idle) | (~m_state_v_TRM(c_s, s6, c_idle)) | (~node168(c_s, s6, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 12.15/8.42 tff(9068,plain,
% 12.15/8.42 (m_state_v_TRM(c_s, s7, c_idle)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9067, 4167, 9061, 8812])).
% 12.15/8.42 tff(9069,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9070,plain,
% 12.15/8.42 (((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle)) <=> (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9071,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | (m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9070])).
% 12.15/8.42 tff(9072,plain,
% 12.15/8.42 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9071, 9069])).
% 12.15/8.42 tff(9073,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | ((~node168(c_s, s7, s8)) | (~m_state_v_TRM(c_s, s7, c_idle)) | m_state_v_TRM(c_s, s8, c_idle))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9074,plain,
% 12.15/8.42 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | (~m_state_v_TRM(J0, X, V)) | m_state_v_TRM(J0, Y, V))) | m_state_v_TRM(c_s, s8, c_idle) | (~m_state_v_TRM(c_s, s7, c_idle)) | (~node168(c_s, s7, s8))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9073, 9072])).
% 12.15/8.42 tff(9075,plain,
% 12.15/8.42 ($false),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9074, 4167, 9068, 8875, 8874])).
% 12.15/8.42 tff(9076,plain,((~node168(c_s, s7, s8)) | m_state_v_TRM(c_s, s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.15/8.42 tff(9077,plain,
% 12.15/8.42 (m_state_v_TRM(c_s, s8, c_idle)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9076, 8873])).
% 12.15/8.42 tff(9078,plain,
% 12.15/8.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9079,plain,
% 12.15/8.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9080,plain,
% 12.15/8.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node24(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node24(c_s, s6, s7)),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 12.15/8.42 tff(9081,plain,
% 12.15/8.42 (node24(c_s, s6, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9080, 62, 1488, 2095])).
% 12.15/8.42 tff(9082,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9083,plain,
% 12.15/8.42 ((m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7))) <=> (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9084,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9083])).
% 12.15/8.42 tff(9085,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9084, 9082])).
% 12.15/8.42 tff(9086,plain,
% 12.15/8.42 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | (m_state_v_TEM(c_s, s6, c_up) | m_state_v_TEM(c_s, s6, c_down) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9087,plain,
% 12.15/8.42 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | m_state_v_TEM(J0, X, c_down) | node23(J0, X, Y) | (~node24(J0, X, Y)))) | m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7) | (~node24(c_s, s6, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 12.15/8.42 tff(9088,plain,
% 12.15/8.42 (m_state_v_TEM(c_s, s6, c_down) | m_state_v_TEM(c_s, s6, c_up) | node23(c_s, s6, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9087, 6097, 9081])).
% 12.15/8.42 tff(9089,plain,
% 12.15/8.42 (node23(c_s, s6, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9088, 6661, 6647])).
% 12.15/8.42 tff(9090,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9091,plain,
% 12.15/8.42 ((m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7))) <=> (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9092,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7))))),
% 12.15/8.42 inference(monotonicity,[status(thm)],[9091])).
% 12.15/8.42 tff(9093,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7)))),
% 12.15/8.42 inference(transitivity,[status(thm)],[9092, 9090])).
% 12.15/8.42 tff(9094,plain,
% 12.15/8.42 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | (m_state_v_botPos(c_s, s6) | (~node23(c_s, s6, s7)) | (~m_state_v_botPos(c_s, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9095,plain,
% 12.15/8.42 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node23(J0, X, Y)) | (~m_state_v_botPos(J0, Y)))) | m_state_v_botPos(c_s, s6) | (~m_state_v_botPos(c_s, s7)) | (~node23(c_s, s6, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 12.15/8.42 tff(9096,plain,
% 12.15/8.42 (~m_state_v_botPos(c_s, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9095, 6144, 6778, 9089])).
% 12.15/8.42 tff(9097,plain,
% 12.15/8.42 (((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9098,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | (m_state_v_botPos(c_s, s7) | (~node173(c_s, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9099,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_botPos(J0, X) | (~node173(J0, X)))) | m_state_v_botPos(c_s, s7) | (~node173(c_s, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 12.15/8.42 tff(9100,plain,
% 12.15/8.42 (~node173(c_s, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9099, 6160, 9096])).
% 12.15/8.42 tff(9101,plain,
% 12.15/8.42 (((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9102,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | ((~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9103,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : ((~m_state_v_tl(J0, X)) | (~node172(J0, X)))) | (~m_state_v_tl(c_s, s7)) | (~node172(c_s, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 12.15/8.42 tff(9104,plain,
% 12.15/8.42 (~node172(c_s, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9103, 5994, 8736])).
% 12.15/8.42 tff(9105,plain,
% 12.15/8.42 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9106,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9107,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s7, c_up) | (~node171(c_s, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 12.15/8.42 tff(9108,plain,
% 12.15/8.42 (~node171(c_s, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9107, 6173, 8275])).
% 12.15/8.42 tff(9109,plain,
% 12.15/8.42 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node170(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node170(c_s, s7)))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9110,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s7) | (~node170(c_s, s7)))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9111,plain,
% 12.15/8.42 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s7) | (~node170(c_s, s7))),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 12.15/8.42 tff(9112,plain,
% 12.15/8.42 (~node170(c_s, s7)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9111, 6184, 8849])).
% 12.15/8.42 tff(9113,plain,
% 12.15/8.42 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9114,plain,
% 12.15/8.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8))),
% 12.15/8.42 inference(quant_inst,[status(thm)],[])).
% 12.15/8.42 tff(9115,plain,
% 12.15/8.42 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s7, s8)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s7, s8)),
% 12.15/8.42 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 12.15/8.42 tff(9116,plain,
% 12.15/8.42 (node175(c_s, s7, s8)),
% 12.15/8.42 inference(unit_resolution,[status(thm)],[9115, 1505, 1502, 4830])).
% 12.15/8.42 tff(9117,plain,
% 12.15/8.42 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8))),
% 12.15/8.42 inference(rewrite,[status(thm)],[])).
% 12.15/8.42 tff(9118,plain,
% 12.15/8.42 ((node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8))) <=> (node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9119,plain,
% 12.15/8.43 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8)))),
% 12.15/8.43 inference(monotonicity,[status(thm)],[9118])).
% 12.15/8.43 tff(9120,plain,
% 12.15/8.43 (((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8))),
% 12.15/8.43 inference(transitivity,[status(thm)],[9119, 9117])).
% 12.15/8.43 tff(9121,plain,
% 12.15/8.43 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | (node170(c_s, s7) | node172(c_s, s7) | node171(c_s, s7) | node173(c_s, s7) | node174(c_s, s7, s8) | (~node175(c_s, s7, s8)))),
% 12.15/8.43 inference(quant_inst,[status(thm)],[])).
% 12.15/8.43 tff(9122,plain,
% 12.15/8.43 ((~![Y: $i, X: $i, J0: $i] : (node170(J0, X) | node172(J0, X) | node171(J0, X) | node173(J0, X) | node174(J0, X, Y) | (~node175(J0, X, Y)))) | node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | (~node175(c_s, s7, s8)) | node174(c_s, s7, s8)),
% 12.15/8.43 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 12.15/8.43 tff(9123,plain,
% 12.15/8.43 (node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node170(c_s, s7) | node174(c_s, s7, s8)),
% 12.15/8.43 inference(unit_resolution,[status(thm)],[9122, 6008, 9116])).
% 12.15/8.43 tff(9124,plain,
% 12.15/8.43 (node173(c_s, s7) | node171(c_s, s7) | node172(c_s, s7) | node174(c_s, s7, s8)),
% 12.15/8.43 inference(unit_resolution,[status(thm)],[9123, 9112])).
% 12.15/8.43 tff(9125,plain,
% 12.15/8.43 (node174(c_s, s7, s8)),
% 12.15/8.43 inference(unit_resolution,[status(thm)],[9124, 9108, 9104, 9100])).
% 12.15/8.43 tff(9126,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4)))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9127,plain,
% 12.15/8.43 (((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle)) <=> ((~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4)))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9128,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4))))),
% 12.15/8.43 inference(monotonicity,[status(thm)],[9127])).
% 12.15/8.43 tff(9129,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4)))),
% 12.15/8.43 inference(transitivity,[status(thm)],[9128, 9126])).
% 12.15/8.43 tff(9130,plain,
% 12.15/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s3, s4)) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle))),
% 12.15/8.43 inference(quant_inst,[status(thm)],[])).
% 12.15/8.43 tff(9131,plain,
% 12.15/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s3, c_idle)) | m_state_v_TEM(c_s, s4, c_idle) | (~node174(c_s, s3, s4))),
% 12.15/8.43 inference(modus_ponens,[status(thm)],[9130, 9129])).
% 12.15/8.43 tff(9132,plain,
% 12.15/8.43 (m_state_v_TEM(c_s, s4, c_idle)),
% 12.15/8.43 inference(unit_resolution,[status(thm)],[9131, 6028, 6072, 6205])).
% 12.15/8.43 tff(9133,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5)))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9134,plain,
% 12.15/8.43 (((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle)) <=> (m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5)))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9135,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5))))),
% 12.15/8.43 inference(monotonicity,[status(thm)],[9134])).
% 12.15/8.43 tff(9136,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5)))),
% 12.15/8.43 inference(transitivity,[status(thm)],[9135, 9133])).
% 12.15/8.43 tff(9137,plain,
% 12.15/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s4, s5)) | (~m_state_v_TEM(c_s, s4, c_idle)) | m_state_v_TEM(c_s, s5, c_idle))),
% 12.15/8.43 inference(quant_inst,[status(thm)],[])).
% 12.15/8.43 tff(9138,plain,
% 12.15/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s5, c_idle) | (~m_state_v_TEM(c_s, s4, c_idle)) | (~node174(c_s, s4, s5))),
% 12.15/8.43 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 12.15/8.43 tff(9139,plain,
% 12.15/8.43 (m_state_v_TEM(c_s, s5, c_idle)),
% 12.15/8.43 inference(unit_resolution,[status(thm)],[9138, 6028, 9132, 6268])).
% 12.15/8.43 tff(9140,assumption,(node174(c_s, s5, s6)), introduced(assumption)).
% 12.15/8.43 tff(9141,assumption,(~m_state_v_TEM(c_s, s6, c_idle)), introduced(assumption)).
% 12.15/8.43 tff(9142,assumption,(m_state_v_TEM(c_s, s5, c_idle)), introduced(assumption)).
% 12.15/8.43 tff(9143,plain,
% 12.15/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 12.15/8.43 inference(rewrite,[status(thm)],[])).
% 12.15/8.43 tff(9144,plain,
% 12.15/8.43 (((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle)) <=> (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9145,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6))))),
% 12.18/8.43 inference(monotonicity,[status(thm)],[9144])).
% 12.18/8.43 tff(9146,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6)))),
% 12.18/8.43 inference(transitivity,[status(thm)],[9145, 9143])).
% 12.18/8.43 tff(9147,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9148,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s6, c_idle) | (~m_state_v_TEM(c_s, s5, c_idle)) | (~node174(c_s, s5, s6))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 12.18/8.43 tff(9149,plain,
% 12.18/8.43 ($false),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9148, 6028, 9142, 9141, 9140])).
% 12.18/8.43 tff(9150,plain,((~node174(c_s, s5, s6)) | (~m_state_v_TEM(c_s, s5, c_idle)) | m_state_v_TEM(c_s, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.18/8.43 tff(9151,plain,
% 12.18/8.43 (m_state_v_TEM(c_s, s6, c_idle)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9150, 6640, 9139])).
% 12.18/8.43 tff(9152,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9153,plain,
% 12.18/8.43 (((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle)) <=> ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9154,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7))))),
% 12.18/8.43 inference(monotonicity,[status(thm)],[9153])).
% 12.18/8.43 tff(9155,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7)))),
% 12.18/8.43 inference(transitivity,[status(thm)],[9154, 9152])).
% 12.18/8.43 tff(9156,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s6, s7)) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9157,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (~m_state_v_TEM(c_s, s6, c_idle)) | m_state_v_TEM(c_s, s7, c_idle) | (~node174(c_s, s6, s7))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 12.18/8.43 tff(9158,plain,
% 12.18/8.43 (m_state_v_TEM(c_s, s7, c_idle)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9157, 6028, 9151, 8268])).
% 12.18/8.43 tff(9159,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9160,plain,
% 12.18/8.43 (((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle)) <=> (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9161,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | (m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8))))),
% 12.18/8.43 inference(monotonicity,[status(thm)],[9160])).
% 12.18/8.43 tff(9162,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8)))),
% 12.18/8.43 inference(transitivity,[status(thm)],[9161, 9159])).
% 12.18/8.43 tff(9163,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | ((~node174(c_s, s7, s8)) | (~m_state_v_TEM(c_s, s7, c_idle)) | m_state_v_TEM(c_s, s8, c_idle))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9164,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | (~m_state_v_TEM(J0, X, V)) | m_state_v_TEM(J0, Y, V))) | m_state_v_TEM(c_s, s8, c_idle) | (~m_state_v_TEM(c_s, s7, c_idle)) | (~node174(c_s, s7, s8))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 12.18/8.43 tff(9165,plain,
% 12.18/8.43 (m_state_v_TEM(c_s, s8, c_idle)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9164, 6028, 9158, 9125])).
% 12.18/8.43 tff(9166,plain,
% 12.18/8.43 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))))),
% 12.18/8.43 inference(bind,[status(th)],[])).
% 12.18/8.43 tff(9167,plain,
% 12.18/8.43 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 12.18/8.43 inference(quant_intro,[status(thm)],[9166])).
% 12.18/8.43 tff(9168,plain,
% 12.18/8.43 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9169,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_39')).
% 12.18/8.43 tff(9170,plain,
% 12.18/8.43 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9169, 9168])).
% 12.18/8.43 tff(9171,plain,(
% 12.18/8.43 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 12.18/8.43 inference(skolemize,[status(sab)],[9170])).
% 12.18/8.43 tff(9172,plain,
% 12.18/8.43 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9171, 9167])).
% 12.18/8.43 tff(9173,plain,
% 12.18/8.43 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9174,plain,
% 12.18/8.43 ((m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6))) <=> ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9175,plain,
% 12.18/8.43 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | ((~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)))),
% 12.18/8.43 inference(monotonicity,[status(thm)],[9174])).
% 12.18/8.43 tff(9176,plain,
% 12.18/8.43 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.18/8.43 inference(transitivity,[status(thm)],[9175, 9173])).
% 12.18/8.43 tff(9177,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node128(c_s, s6)))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9178,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node128(J0, X)))) | (~node128(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 12.18/8.43 tff(9179,plain,
% 12.18/8.43 (~node128(c_s, s6)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9178, 9172, 8670])).
% 12.18/8.43 tff(9180,plain,
% 12.18/8.43 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node125(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node125(c_s, s5)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9181,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node125(c_s, s5)))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9182,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node125(c_s, s5))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 12.18/8.43 tff(9183,plain,
% 12.18/8.43 (~node125(c_s, s5)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9182, 7073, 8639])).
% 12.18/8.43 tff(9184,plain,
% 12.18/8.43 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9185,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5)))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9186,plain,
% 12.18/8.43 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node124(c_s, s5))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 12.18/8.43 tff(9187,plain,
% 12.18/8.43 (~node124(c_s, s5)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9186, 2845, 8309])).
% 12.18/8.43 tff(9188,assumption,(node41(c_s, s4, s5)), introduced(assumption)).
% 12.18/8.43 tff(9189,assumption,(m_state_v_angle(c_s, s4, c_arm1totable)), introduced(assumption)).
% 12.18/8.43 tff(9190,assumption,(~m_state_v_angle(c_s, s5, c_arm1totable)), introduced(assumption)).
% 12.18/8.43 tff(9191,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9192,plain,
% 12.18/8.43 (((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable)) <=> (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9193,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5))))),
% 12.18/8.43 inference(monotonicity,[status(thm)],[9192])).
% 12.18/8.43 tff(9194,plain,
% 12.18/8.43 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5)))),
% 12.18/8.43 inference(transitivity,[status(thm)],[9193, 9191])).
% 12.18/8.43 tff(9195,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s4, s5)) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | m_state_v_angle(c_s, s5, c_arm1totable))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9196,plain,
% 12.18/8.43 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~node41(c_s, s4, s5))),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9195, 9194])).
% 12.18/8.43 tff(9197,plain,
% 12.18/8.43 ($false),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9196, 2666, 9190, 9189, 9188])).
% 12.18/8.43 tff(9198,plain,((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s5, c_arm1totable) | (~m_state_v_angle(c_s, s4, c_arm1totable))), inference(lemma,lemma(discharge,[]))).
% 12.18/8.43 tff(9199,plain,
% 12.18/8.43 (m_state_v_angle(c_s, s5, c_arm1totable)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9198, 7051, 8625])).
% 12.18/8.43 tff(9200,plain,
% 12.18/8.43 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))),
% 12.18/8.43 inference(rewrite,[status(thm)],[])).
% 12.18/8.43 tff(9201,plain,
% 12.18/8.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5))),
% 12.18/8.43 inference(quant_inst,[status(thm)],[])).
% 12.18/8.43 tff(9202,plain,
% 12.18/8.43 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s4, s5)),
% 12.18/8.43 inference(modus_ponens,[status(thm)],[9201, 9200])).
% 12.18/8.43 tff(9203,plain,
% 12.18/8.43 (node145(c_s, s4, s5)),
% 12.18/8.43 inference(unit_resolution,[status(thm)],[9202, 2729, 3512, 1043])).
% 12.18/8.43 tff(9204,plain,
% 12.18/8.43 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)))),
% 12.18/8.44 inference(bind,[status(th)],[])).
% 12.18/8.44 tff(9205,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(quant_intro,[status(thm)],[9204])).
% 12.18/8.44 tff(9206,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9207,plain,
% 12.18/8.44 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))))),
% 12.18/8.44 inference(bind,[status(th)],[])).
% 12.18/8.44 tff(9208,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(quant_intro,[status(thm)],[9207])).
% 12.18/8.44 tff(9209,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend))) | (~m_state_v_a1ext(J0, X, c_ot))) | m_state_v_A1Mag(J0, Y, c_on)) | (~node145(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_115')).
% 12.18/8.44 tff(9210,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 12.18/8.44 tff(9211,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9210, 9206])).
% 12.18/8.44 tff(9212,plain,(
% 12.18/8.44 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(skolemize,[status(sab)],[9211])).
% 12.18/8.44 tff(9213,plain,
% 12.18/8.44 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9212, 9205])).
% 12.18/8.44 tff(9214,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9215,plain,
% 12.18/8.44 (((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on)) <=> (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9216,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5))))),
% 12.18/8.44 inference(monotonicity,[status(thm)],[9215])).
% 12.18/8.44 tff(9217,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)))),
% 12.18/8.44 inference(transitivity,[status(thm)],[9216, 9214])).
% 12.18/8.44 tff(9218,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | ((~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5)) | m_state_v_A1Mag(c_s, s5, c_on))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9219,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_extend)) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node145(J0, X, Y)) | m_state_v_A1Mag(J0, Y, c_on))) | m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot)) | (~node145(c_s, s4, s5))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9218, 9217])).
% 12.18/8.44 tff(9220,plain,
% 12.18/8.44 (m_state_v_A1Mag(c_s, s5, c_on) | (~m_state_v_angle(c_s, s4, c_arm1totable)) | (~m_state_v_A1M(c_s, s4, c_extend)) | (~m_state_v_a1ext(c_s, s4, c_ot))),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9219, 9213, 9203])).
% 12.18/8.44 tff(9221,plain,
% 12.18/8.44 (m_state_v_A1Mag(c_s, s5, c_on)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9220, 7051, 7878, 6435])).
% 12.18/8.44 tff(9222,plain,
% 12.18/8.44 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9223,plain,
% 12.18/8.44 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9224,plain,
% 12.18/8.44 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s5, c_off)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 12.18/8.44 tff(9225,plain,
% 12.18/8.44 (~m_state_v_A1Mag(c_s, s5, c_off)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9224, 6947, 9221])).
% 12.18/8.44 tff(9226,plain,
% 12.18/8.44 (^[X: $i, J0: $i] : refl(((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)))),
% 12.18/8.44 inference(bind,[status(th)],[])).
% 12.18/8.44 tff(9227,plain,
% 12.18/8.44 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(quant_intro,[status(thm)],[9226])).
% 12.18/8.44 tff(9228,plain,
% 12.18/8.44 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9229,plain,
% 12.18/8.44 (^[X: $i, J0: $i] : rewrite((m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X))) <=> ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off)))),
% 12.18/8.44 inference(bind,[status(th)],[])).
% 12.18/8.44 tff(9230,plain,
% 12.18/8.44 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X))) <=> ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(quant_intro,[status(thm)],[9229])).
% 12.18/8.44 tff(9231,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node122(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_7')).
% 12.18/8.44 tff(9232,plain,
% 12.18/8.44 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 12.18/8.44 tff(9233,plain,
% 12.18/8.44 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9232, 9228])).
% 12.18/8.44 tff(9234,plain,(
% 12.18/8.44 ![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(skolemize,[status(sab)],[9233])).
% 12.18/8.44 tff(9235,plain,
% 12.18/8.44 (![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9234, 9227])).
% 12.18/8.44 tff(9236,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s5)) | m_state_v_A1Mag(c_s, s5, c_off))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s5)) | m_state_v_A1Mag(c_s, s5, c_off))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9237,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s5)) | m_state_v_A1Mag(c_s, s5, c_off))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9238,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s5)) | m_state_v_A1Mag(c_s, s5, c_off)),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 12.18/8.44 tff(9239,plain,
% 12.18/8.44 (~node122(c_s, s5)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9238, 9235, 9225])).
% 12.18/8.44 tff(9240,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9241,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9242,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node54(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node54(c_s, s4))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 12.18/8.44 tff(9243,plain,
% 12.18/8.44 (~node54(c_s, s4)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9242, 7820, 8182])).
% 12.18/8.44 tff(9244,plain,
% 12.18/8.44 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))))),
% 12.18/8.44 inference(bind,[status(th)],[])).
% 12.18/8.44 tff(9245,plain,
% 12.18/8.44 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 12.18/8.44 inference(quant_intro,[status(thm)],[9244])).
% 12.18/8.44 tff(9246,plain,
% 12.18/8.44 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9247,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Press_5')).
% 12.18/8.44 tff(9248,plain,
% 12.18/8.44 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 12.18/8.44 tff(9249,plain,(
% 12.18/8.44 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 12.18/8.44 inference(skolemize,[status(sab)],[9248])).
% 12.18/8.44 tff(9250,plain,
% 12.18/8.44 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9249, 9245])).
% 12.18/8.44 tff(9251,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9252,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9253,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node115(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node115(c_s, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 12.18/8.44 tff(9254,plain,
% 12.18/8.44 (~node115(c_s, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9253, 9250, 8162])).
% 12.18/8.44 tff(9255,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node61(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node61(c_s, s2)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9256,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node61(c_s, s2)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9257,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node61(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node61(c_s, s2))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9256, 9255])).
% 12.18/8.44 tff(9258,plain,
% 12.18/8.44 (~node61(c_s, s2)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9257, 8051, 7955])).
% 12.18/8.44 tff(9259,plain,
% 12.18/8.44 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s2, s3))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9260,plain,
% 12.18/8.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s2, s3))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9261,plain,
% 12.18/8.44 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node63(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node63(c_s, s2, s3)),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9260, 9259])).
% 12.18/8.44 tff(9262,plain,
% 12.18/8.44 (node63(c_s, s2, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9261, 62, 8065, 480])).
% 12.18/8.44 tff(9263,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9264,plain,
% 12.18/8.44 ((node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)) | (~m_state_v_pl(c_s, s2))) <=> ((~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9265,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)) | (~m_state_v_pl(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | ((~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3))))),
% 12.18/8.44 inference(monotonicity,[status(thm)],[9264])).
% 12.18/8.44 tff(9266,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)) | (~m_state_v_pl(c_s, s2)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)))),
% 12.18/8.44 inference(transitivity,[status(thm)],[9265, 9263])).
% 12.18/8.44 tff(9267,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3)) | (~m_state_v_pl(c_s, s2)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9268,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : (node61(J0, X) | node62(J0, X, Y) | (~node63(J0, X, Y)) | (~m_state_v_pl(J0, X)))) | (~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3) | (~node63(c_s, s2, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 12.18/8.44 tff(9269,plain,
% 12.18/8.44 ((~m_state_v_pl(c_s, s2)) | node61(c_s, s2) | node62(c_s, s2, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9268, 8079, 9262])).
% 12.18/8.44 tff(9270,plain,
% 12.18/8.44 (node62(c_s, s2, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9269, 9258, 8018])).
% 12.18/8.44 tff(9271,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9272,plain,
% 12.18/8.44 (((~node62(c_s, s2, s3)) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3))) <=> (m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9273,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s2, s3)) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | (m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3))))),
% 12.18/8.44 inference(monotonicity,[status(thm)],[9272])).
% 12.18/8.44 tff(9274,plain,
% 12.18/8.44 (((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s2, s3)) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3)))),
% 12.18/8.44 inference(transitivity,[status(thm)],[9273, 9271])).
% 12.18/8.44 tff(9275,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | ((~node62(c_s, s2, s3)) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9276,plain,
% 12.18/8.44 ((~![Y: $i, X: $i, J0: $i] : ((~node62(J0, X, Y)) | m_state_v_fc(J0, X) | (~m_state_v_fc(J0, Y)))) | m_state_v_fc(c_s, s2) | (~m_state_v_fc(c_s, s3)) | (~node62(c_s, s2, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9275, 9274])).
% 12.18/8.44 tff(9277,plain,
% 12.18/8.44 (~m_state_v_fc(c_s, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9276, 8097, 8126, 9270])).
% 12.18/8.44 tff(9278,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | ((~node118(c_s, s3)) | m_state_v_fc(c_s, s3))) <=> ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s3)) | m_state_v_fc(c_s, s3))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9279,plain,
% 12.18/8.44 ((m_state_v_fc(c_s, s3) | (~node118(c_s, s3))) <=> ((~node118(c_s, s3)) | m_state_v_fc(c_s, s3))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9280,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (m_state_v_fc(c_s, s3) | (~node118(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | ((~node118(c_s, s3)) | m_state_v_fc(c_s, s3)))),
% 12.18/8.44 inference(monotonicity,[status(thm)],[9279])).
% 12.18/8.44 tff(9281,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (m_state_v_fc(c_s, s3) | (~node118(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s3)) | m_state_v_fc(c_s, s3))),
% 12.18/8.44 inference(transitivity,[status(thm)],[9280, 9278])).
% 12.18/8.44 tff(9282,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (m_state_v_fc(c_s, s3) | (~node118(c_s, s3)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9283,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_fc(J0, X) | (~node118(J0, X)))) | (~node118(c_s, s3)) | m_state_v_fc(c_s, s3)),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 12.18/8.44 tff(9284,plain,
% 12.18/8.44 (~node118(c_s, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9283, 8133, 9277])).
% 12.18/8.44 tff(9285,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9286,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9287,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s3) | (~node116(c_s, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 12.18/8.44 tff(9288,plain,
% 12.18/8.44 (~node116(c_s, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9287, 7286, 7850])).
% 12.18/8.44 tff(9289,plain,
% 12.18/8.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9290,plain,
% 12.18/8.44 (((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down))) <=> (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9291,plain,
% 12.18/8.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3))))),
% 12.18/8.44 inference(monotonicity,[status(thm)],[9290])).
% 12.18/8.44 tff(9292,plain,
% 12.18/8.44 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3)))),
% 12.18/8.44 inference(transitivity,[status(thm)],[9291, 9289])).
% 12.18/8.44 tff(9293,plain,
% 12.18/8.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s2, s3)) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9294,plain,
% 12.18/8.44 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s2, c_down) | (~m_state_v_PM(c_s, s3, c_down)) | (~node120(c_s, s2, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 12.18/8.44 tff(9295,plain,
% 12.18/8.44 (~m_state_v_PM(c_s, s3, c_down)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9294, 7410, 8155, 8029])).
% 12.18/8.44 tff(9296,plain,
% 12.18/8.44 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))),
% 12.18/8.44 inference(rewrite,[status(thm)],[])).
% 12.18/8.44 tff(9297,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3)))),
% 12.18/8.44 inference(quant_inst,[status(thm)],[])).
% 12.18/8.44 tff(9298,plain,
% 12.18/8.44 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s3, c_down) | (~node119(c_s, s3))),
% 12.18/8.44 inference(modus_ponens,[status(thm)],[9297, 9296])).
% 12.18/8.44 tff(9299,plain,
% 12.18/8.44 (~node119(c_s, s3)),
% 12.18/8.44 inference(unit_resolution,[status(thm)],[9298, 7364, 9295])).
% 12.18/8.45 tff(9300,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9301,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9302,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node49(c_s, s2))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9301, 9300])).
% 12.18/8.45 tff(9303,plain,
% 12.18/8.45 (~node49(c_s, s2)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9302, 7940, 7955])).
% 12.18/8.45 tff(9304,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9305,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9306,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s2, s3)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 12.18/8.45 tff(9307,plain,
% 12.18/8.45 (node52(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9306, 62, 7536, 480])).
% 12.18/8.45 tff(9308,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9309,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9310,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s2)) | m_state_v_press_status(c_s, s2, c_pressatmid)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 12.18/8.45 tff(9311,plain,
% 12.18/8.45 (~node50(c_s, s2)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9310, 7561, 7797])).
% 12.18/8.45 tff(9312,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9313,plain,
% 12.18/8.45 ((node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3))) <=> (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9314,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3)))),
% 12.18/8.45 inference(monotonicity,[status(thm)],[9313])).
% 12.18/8.45 tff(9315,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3))),
% 12.18/8.45 inference(transitivity,[status(thm)],[9314, 9312])).
% 12.18/8.45 tff(9316,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s2) | node50(c_s, s2) | node51(c_s, s2, s3) | (~node52(c_s, s2, s3)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9317,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node50(c_s, s2) | node49(c_s, s2) | (~node52(c_s, s2, s3)) | node51(c_s, s2, s3)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 12.18/8.45 tff(9318,plain,
% 12.18/8.45 (node49(c_s, s2) | node51(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9317, 7575, 9311, 9307])).
% 12.18/8.45 tff(9319,plain,
% 12.18/8.45 (node51(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9318, 9303])).
% 12.18/8.45 tff(9320,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9321,plain,
% 12.18/8.45 ((m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3))) <=> ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9322,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3))))),
% 12.18/8.45 inference(monotonicity,[status(thm)],[9321])).
% 12.18/8.45 tff(9323,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)))),
% 12.18/8.45 inference(transitivity,[status(thm)],[9322, 9320])).
% 12.18/8.45 tff(9324,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3)) | (~m_state_v_topPosP(c_s, s3)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9325,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s3)) | m_state_v_topPosP(c_s, s2) | (~node51(c_s, s2, s3))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 12.18/8.45 tff(9326,plain,
% 12.18/8.45 (~m_state_v_topPosP(c_s, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9325, 7592, 7955, 9319])).
% 12.18/8.45 tff(9327,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node117(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node117(c_s, s3)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9328,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node117(c_s, s3)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9329,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node117(c_s, s3))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 12.18/8.45 tff(9330,plain,
% 12.18/8.45 (~node117(c_s, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9329, 7606, 9326])).
% 12.18/8.45 tff(9331,plain,
% 12.18/8.45 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))))),
% 12.18/8.45 inference(bind,[status(th)],[])).
% 12.18/8.45 tff(9332,plain,
% 12.18/8.45 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 12.18/8.45 inference(quant_intro,[status(thm)],[9331])).
% 12.18/8.45 tff(9333,plain,
% 12.18/8.45 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9334,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_188')).
% 12.18/8.45 tff(9335,plain,
% 12.18/8.45 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 12.18/8.45 tff(9336,plain,(
% 12.18/8.45 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 12.18/8.45 inference(skolemize,[status(sab)],[9335])).
% 12.18/8.45 tff(9337,plain,
% 12.18/8.45 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9336, 9332])).
% 12.18/8.45 tff(9338,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9339,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9340,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s2, c_retract) | (~node160(c_s, s2))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 12.18/8.45 tff(9341,plain,
% 12.18/8.45 (~node160(c_s, s2)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9340, 9337, 6904])).
% 12.18/8.45 tff(9342,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node161(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node161(c_s, s2)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9343,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node161(c_s, s2)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9344,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node161(c_s, s2))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 12.18/8.45 tff(9345,plain,
% 12.18/8.45 (~node161(c_s, s2)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9344, 8003, 6933])).
% 12.18/8.45 tff(9346,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9347,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9348,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s2, s3)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 12.18/8.45 tff(9349,plain,
% 12.18/8.45 (node163(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9348, 2729, 7193, 480])).
% 12.18/8.45 tff(9350,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9351,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9352,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3) | (~node163(c_s, s2, s3))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9351, 9350])).
% 12.18/8.45 tff(9353,plain,
% 12.18/8.45 (node161(c_s, s2) | node160(c_s, s2) | node162(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9352, 7229, 9349])).
% 12.18/8.45 tff(9354,plain,
% 12.18/8.45 (node162(c_s, s2, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9353, 9345, 9341])).
% 12.18/8.45 tff(9355,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9356,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9357,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s2)) | (~node162(c_s, s2, s3)) | m_state_v_pl(c_s, s3)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9356, 9355])).
% 12.18/8.45 tff(9358,plain,
% 12.18/8.45 (m_state_v_pl(c_s, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9357, 7246, 8018, 9354])).
% 12.18/8.45 tff(9359,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9360,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9361,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s3)) | (~node114(c_s, s3))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 12.18/8.45 tff(9362,plain,
% 12.18/8.45 (~node114(c_s, s3)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9361, 7257, 9358])).
% 12.18/8.45 tff(9363,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9364,plain,
% 12.18/8.45 (((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9365,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4)))),
% 12.18/8.45 inference(monotonicity,[status(thm)],[9364])).
% 12.18/8.45 tff(9366,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4))),
% 12.18/8.45 inference(transitivity,[status(thm)],[9365, 9363])).
% 12.18/8.45 tff(9367,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s3, s4)) | node121(c_s, s3, s4) | (~m_Press_v_s(c_PR, c_s)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9368,plain,
% 12.18/8.45 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s3, s4)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s3, s4)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9367, 9366])).
% 12.18/8.45 tff(9369,plain,
% 12.18/8.45 (node121(c_s, s3, s4)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9368, 7176, 7173, 911])).
% 12.18/8.45 tff(9370,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9371,plain,
% 12.18/8.45 ((node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4))) <=> (node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9372,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4)))),
% 12.18/8.45 inference(monotonicity,[status(thm)],[9371])).
% 12.18/8.45 tff(9373,plain,
% 12.18/8.45 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4))),
% 12.18/8.45 inference(transitivity,[status(thm)],[9372, 9370])).
% 12.18/8.45 tff(9374,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s3) | node115(c_s, s3) | node116(c_s, s3) | node117(c_s, s3) | node118(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4) | (~node121(c_s, s3, s4)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9375,plain,
% 12.18/8.45 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | (~node121(c_s, s3, s4)) | node120(c_s, s3, s4)),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 12.18/8.45 tff(9376,plain,
% 12.18/8.45 (node118(c_s, s3) | node117(c_s, s3) | node116(c_s, s3) | node115(c_s, s3) | node114(c_s, s3) | node119(c_s, s3) | node120(c_s, s3, s4)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9375, 7393, 9369])).
% 12.18/8.45 tff(9377,plain,
% 12.18/8.45 (node120(c_s, s3, s4)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9376, 9362, 9330, 9299, 9288, 9284, 9254])).
% 12.18/8.45 tff(9378,plain,
% 12.18/8.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9379,plain,
% 12.18/8.45 (((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up))) <=> (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9380,plain,
% 12.18/8.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4))))),
% 12.18/8.45 inference(monotonicity,[status(thm)],[9379])).
% 12.18/8.45 tff(9381,plain,
% 12.18/8.45 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4)))),
% 12.18/8.45 inference(transitivity,[status(thm)],[9380, 9378])).
% 12.18/8.45 tff(9382,plain,
% 12.18/8.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9383,plain,
% 12.18/8.45 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s3, c_up) | (~m_state_v_PM(c_s, s4, c_up)) | (~node120(c_s, s3, s4))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 12.18/8.45 tff(9384,plain,
% 12.18/8.45 (~m_state_v_PM(c_s, s4, c_up)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9383, 7410, 8162, 9377])).
% 12.18/8.45 tff(9385,plain,
% 12.18/8.45 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))),
% 12.18/8.45 inference(rewrite,[status(thm)],[])).
% 12.18/8.45 tff(9386,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4)))),
% 12.18/8.45 inference(quant_inst,[status(thm)],[])).
% 12.18/8.45 tff(9387,plain,
% 12.18/8.45 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s4, c_up) | (~node53(c_s, s4))),
% 12.18/8.45 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 12.18/8.45 tff(9388,plain,
% 12.18/8.45 (~node53(c_s, s4)),
% 12.18/8.45 inference(unit_resolution,[status(thm)],[9387, 7442, 9384])).
% 12.18/8.45 tff(9389,plain,
% 12.18/8.45 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9390,plain,
% 12.18/8.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9391,plain,
% 12.18/8.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s4, s5)),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 12.18/8.46 tff(9392,plain,
% 12.18/8.46 (node56(c_s, s4, s5)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9391, 62, 7431, 1043])).
% 12.18/8.46 tff(9393,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9394,plain,
% 12.18/8.46 ((node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5))) <=> (node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9395,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5)))),
% 12.18/8.46 inference(monotonicity,[status(thm)],[9394])).
% 12.18/8.46 tff(9396,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5))),
% 12.18/8.46 inference(transitivity,[status(thm)],[9395, 9393])).
% 12.18/8.46 tff(9397,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s4) | node54(c_s, s4) | node55(c_s, s4, s5) | (~node56(c_s, s4, s5)))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9398,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s4) | node53(c_s, s4) | (~node56(c_s, s4, s5)) | node55(c_s, s4, s5)),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9397, 9396])).
% 12.18/8.46 tff(9399,plain,
% 12.18/8.46 (node54(c_s, s4) | node53(c_s, s4) | node55(c_s, s4, s5)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9398, 7487, 9392])).
% 12.18/8.46 tff(9400,plain,
% 12.18/8.46 (node55(c_s, s4, s5)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9399, 9388, 9243])).
% 12.18/8.46 tff(9401,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9402,plain,
% 12.18/8.46 ((m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5))) <=> ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9403,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5))))),
% 12.18/8.46 inference(monotonicity,[status(thm)],[9402])).
% 12.18/8.46 tff(9404,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)))),
% 12.18/8.46 inference(transitivity,[status(thm)],[9403, 9401])).
% 12.18/8.46 tff(9405,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5)) | (~m_state_v_midPosP(c_s, s5)))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9406,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s5)) | m_state_v_midPosP(c_s, s4) | (~node55(c_s, s4, s5))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9405, 9404])).
% 12.18/8.46 tff(9407,plain,
% 12.18/8.46 (~m_state_v_midPosP(c_s, s5)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9406, 7504, 8182, 9400])).
% 12.18/8.46 tff(9408,plain,
% 12.18/8.46 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node123(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node123(c_s, s5)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9409,plain,
% 12.18/8.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node123(c_s, s5)))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9410,plain,
% 12.18/8.46 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node123(c_s, s5))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9409, 9408])).
% 12.18/8.46 tff(9411,plain,
% 12.18/8.46 (~node123(c_s, s5)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9410, 7857, 9407])).
% 12.18/8.46 tff(9412,plain,
% 12.18/8.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9413,plain,
% 12.18/8.46 (((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9414,plain,
% 12.18/8.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6)))),
% 12.18/8.46 inference(monotonicity,[status(thm)],[9413])).
% 12.18/8.46 tff(9415,plain,
% 12.18/8.46 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6))),
% 12.18/8.46 inference(transitivity,[status(thm)],[9414, 9412])).
% 12.18/8.46 tff(9416,plain,
% 12.18/8.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s5, s6)) | node131(c_s, s5, s6) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9417,plain,
% 12.18/8.46 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s5, s6)),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 12.18/8.46 tff(9418,plain,
% 12.18/8.46 (node131(c_s, s5, s6)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9417, 2729, 2726, 14])).
% 12.18/8.46 tff(9419,plain,
% 12.18/8.46 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)))),
% 12.18/8.46 inference(bind,[status(th)],[])).
% 12.18/8.46 tff(9420,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(quant_intro,[status(thm)],[9419])).
% 12.18/8.46 tff(9421,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9422,plain,
% 12.18/8.46 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))))),
% 12.18/8.46 inference(bind,[status(th)],[])).
% 12.18/8.46 tff(9423,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(quant_intro,[status(thm)],[9422])).
% 12.18/8.46 tff(9424,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_ot))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A1Mag(J0, X, c_on))) | m_state_v_A1M(J0, Y, c_retract)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_49')).
% 12.18/8.46 tff(9425,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 12.18/8.46 tff(9426,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9425, 9421])).
% 12.18/8.46 tff(9427,plain,(
% 12.18/8.46 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(skolemize,[status(sab)],[9426])).
% 12.18/8.46 tff(9428,plain,
% 12.18/8.46 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9427, 9420])).
% 12.18/8.46 tff(9429,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9430,plain,
% 12.18/8.46 (((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract)) <=> ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9431,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on))))),
% 12.18/8.46 inference(monotonicity,[status(thm)],[9430])).
% 12.18/8.46 tff(9432,plain,
% 12.18/8.46 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)))),
% 12.18/8.46 inference(transitivity,[status(thm)],[9431, 9429])).
% 12.18/8.46 tff(9433,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | node122(c_s, s5) | node123(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1M(c_s, s6, c_retract))),
% 12.18/8.46 inference(quant_inst,[status(thm)],[])).
% 12.18/8.46 tff(9434,plain,
% 12.18/8.46 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | (~m_state_v_a1ext(J0, X, c_ot)) | (~node131(J0, X, Y)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | m_state_v_A1M(J0, Y, c_retract))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~node131(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 12.18/8.46 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 12.18/8.46 tff(9435,plain,
% 12.18/8.46 ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | node123(c_s, s5) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9434, 9428, 9418])).
% 12.18/8.46 tff(9436,plain,
% 12.18/8.46 ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_A1M(c_s, s6, c_retract) | node122(c_s, s5) | node124(c_s, s5) | node125(c_s, s5) | (~m_state_v_A1M(c_s, s5, c_idle)) | (~m_state_v_a1ext(c_s, s5, c_ot)) | (~m_state_v_A1Mag(c_s, s5, c_on))),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9435, 9411])).
% 12.18/8.46 tff(9437,plain,
% 12.18/8.46 (m_state_v_A1M(c_s, s6, c_retract)),
% 12.18/8.46 inference(unit_resolution,[status(thm)],[9436, 9239, 8212, 9221, 8659, 9199, 9187, 9183])).
% 12.18/8.46 tff(9438,plain,
% 12.18/8.46 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9439,plain,
% 12.18/8.46 (((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle))) <=> ((~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.18/8.46 inference(rewrite,[status(thm)],[])).
% 12.18/8.46 tff(9440,plain,
% 12.18/8.46 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9439])).
% 12.18/8.47 tff(9441,plain,
% 12.18/8.47 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9440, 9438])).
% 12.18/8.47 tff(9442,plain,
% 12.18/8.47 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | (~m_state_v_A1M(c_s, s6, c_idle)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9443,plain,
% 12.18/8.47 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s6, c_idle)) | (~m_state_v_A1M(c_s, s6, c_retract))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9442, 9441])).
% 12.18/8.47 tff(9444,plain,
% 12.18/8.47 (~m_state_v_A1M(c_s, s6, c_idle)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9443, 1383, 9437])).
% 12.18/8.47 tff(9445,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9446,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9447,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_idle) | (~node126(J0, X)))) | m_state_v_A1M(c_s, s6, c_idle) | (~node126(c_s, s6))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 12.18/8.47 tff(9448,plain,
% 12.18/8.47 (~node126(c_s, s6)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9447, 7113, 9444])).
% 12.18/8.47 tff(9449,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9450,plain,
% 12.18/8.47 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9451,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9450])).
% 12.18/8.47 tff(9452,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9451, 9449])).
% 12.18/8.47 tff(9453,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9454,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s2, c_arm2todepbelt)) | m_state_v_angle(c_s, s1, c_arm2todepbelt) | (~node41(c_s, s1, s2))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 12.18/8.47 tff(9455,plain,
% 12.18/8.47 (~m_state_v_angle(c_s, s2, c_arm2todepbelt)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9454, 2567, 5198, 5266])).
% 12.18/8.47 tff(9456,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9457,plain,
% 12.18/8.47 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9458,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9457])).
% 12.18/8.47 tff(9459,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9458, 9456])).
% 12.18/8.47 tff(9460,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9461,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s2, c_arm2todepbelt) | (~m_state_v_angle(c_s, s3, c_arm2todepbelt)) | (~node41(c_s, s2, s3))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 12.18/8.47 tff(9462,plain,
% 12.18/8.47 (~m_state_v_angle(c_s, s3, c_arm2todepbelt)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9461, 2567, 9455, 6416])).
% 12.18/8.47 tff(9463,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9464,plain,
% 12.18/8.47 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9465,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9464])).
% 12.18/8.47 tff(9466,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9465, 9463])).
% 12.18/8.47 tff(9467,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9468,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2todepbelt) | (~m_state_v_angle(c_s, s4, c_arm2todepbelt)) | (~node41(c_s, s3, s4))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 12.18/8.47 tff(9469,plain,
% 12.18/8.47 (~m_state_v_angle(c_s, s4, c_arm2todepbelt)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9468, 2567, 9462, 7044])).
% 12.18/8.47 tff(9470,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9471,plain,
% 12.18/8.47 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9472,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9471])).
% 12.18/8.47 tff(9473,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9472, 9470])).
% 12.18/8.47 tff(9474,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9475,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2todepbelt)) | m_state_v_angle(c_s, s4, c_arm2todepbelt) | (~node41(c_s, s4, s5))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 12.18/8.47 tff(9476,plain,
% 12.18/8.47 (~m_state_v_angle(c_s, s5, c_arm2todepbelt)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9475, 2567, 9469, 8625])).
% 12.18/8.47 tff(9477,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node39(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node39(c_s, s5)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9478,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node39(c_s, s5)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9479,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node39(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node39(c_s, s5))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9478, 9477])).
% 12.18/8.47 tff(9480,plain,
% 12.18/8.47 (~node39(c_s, s5)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9479, 2514, 9476])).
% 12.18/8.47 tff(9481,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9482,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9483,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node157(c_s, s4))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 12.18/8.47 tff(9484,plain,
% 12.18/8.47 (~node157(c_s, s4)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9483, 3387, 8566])).
% 12.18/8.47 tff(9485,plain,
% 12.18/8.47 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))))),
% 12.18/8.47 inference(bind,[status(th)],[])).
% 12.18/8.47 tff(9486,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 12.18/8.47 inference(quant_intro,[status(thm)],[9485])).
% 12.18/8.47 tff(9487,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9488,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_133')).
% 12.18/8.47 tff(9489,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 12.18/8.47 tff(9490,plain,(
% 12.18/8.47 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 12.18/8.47 inference(skolemize,[status(sab)],[9489])).
% 12.18/8.47 tff(9491,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9490, 9486])).
% 12.18/8.47 tff(9492,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9493,plain,
% 12.18/8.47 ((m_state_v_a1ext(c_s, s4, c_retracted) | (~node150(c_s, s4))) <=> ((~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9494,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node150(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9493])).
% 12.18/8.47 tff(9495,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node150(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9494, 9492])).
% 12.18/8.47 tff(9496,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node150(c_s, s4)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9497,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 12.18/8.47 tff(9498,plain,
% 12.18/8.47 (~node150(c_s, s4)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9497, 9491, 6439])).
% 12.18/8.47 tff(9499,plain,
% 12.18/8.47 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))))),
% 12.18/8.47 inference(bind,[status(th)],[])).
% 12.18/8.47 tff(9500,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 12.18/8.47 inference(quant_intro,[status(thm)],[9499])).
% 12.18/8.47 tff(9501,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9502,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_142')).
% 12.18/8.47 tff(9503,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9502, 9501])).
% 12.18/8.47 tff(9504,plain,(
% 12.18/8.47 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 12.18/8.47 inference(skolemize,[status(sab)],[9503])).
% 12.18/8.47 tff(9505,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9504, 9500])).
% 12.18/8.47 tff(9506,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | ((~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9507,plain,
% 12.18/8.47 ((m_state_v_a1ext(c_s, s4, c_retracted) | (~node153(c_s, s4))) <=> ((~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9508,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node153(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | ((~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9507])).
% 12.18/8.47 tff(9509,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node153(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9508, 9506])).
% 12.18/8.47 tff(9510,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node153(c_s, s4)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9511,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node153(J0, X)))) | (~node153(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 12.18/8.47 tff(9512,plain,
% 12.18/8.47 (~node153(c_s, s4)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9511, 9505, 6439])).
% 12.18/8.47 tff(9513,plain,
% 12.18/8.47 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))))),
% 12.18/8.47 inference(bind,[status(th)],[])).
% 12.18/8.47 tff(9514,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 12.18/8.47 inference(quant_intro,[status(thm)],[9513])).
% 12.18/8.47 tff(9515,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9516,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_163')).
% 12.18/8.47 tff(9517,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 12.18/8.47 tff(9518,plain,(
% 12.18/8.47 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 12.18/8.47 inference(skolemize,[status(sab)],[9517])).
% 12.18/8.47 tff(9519,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9518, 9514])).
% 12.18/8.47 tff(9520,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9521,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9522,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node156(c_s, s4))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9521, 9520])).
% 12.18/8.47 tff(9523,plain,
% 12.18/8.47 (~node156(c_s, s4)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9522, 9519, 8587])).
% 12.18/8.47 tff(9524,assumption,(node132(c_s, s3)), introduced(assumption)).
% 12.18/8.47 tff(9525,plain,
% 12.18/8.47 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s3, c_on) | (~node132(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s3, c_on) | (~node132(c_s, s3)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9526,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | (m_state_v_A1Mag(c_s, s3, c_on) | (~node132(c_s, s3)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9527,plain,
% 12.18/8.47 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_on) | (~node132(J0, X)))) | m_state_v_A1Mag(c_s, s3, c_on) | (~node132(c_s, s3))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9526, 9525])).
% 12.18/8.47 tff(9528,plain,
% 12.18/8.47 (m_state_v_A1Mag(c_s, s3, c_on)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9527, 8474, 9524])).
% 12.18/8.47 tff(9529,plain,
% 12.18/8.47 (((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s3, c_off)) | (~m_state_v_A1Mag(c_s, s3, c_on)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s3, c_off)) | (~m_state_v_A1Mag(c_s, s3, c_on)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9530,plain,
% 12.18/8.47 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | ((~m_state_v_A1Mag(c_s, s3, c_off)) | (~m_state_v_A1Mag(c_s, s3, c_on)))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9531,plain,
% 12.18/8.47 ((~![I0: $i, X: $i] : ((~m_state_v_A1Mag(I0, X, c_off)) | (~m_state_v_A1Mag(I0, X, c_on)))) | (~m_state_v_A1Mag(c_s, s3, c_off)) | (~m_state_v_A1Mag(c_s, s3, c_on))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 12.18/8.47 tff(9532,plain,
% 12.18/8.47 (~m_state_v_A1Mag(c_s, s3, c_off)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9531, 6947, 9528])).
% 12.18/8.47 tff(9533,assumption,(node144(c_s, s2, s3)), introduced(assumption)).
% 12.18/8.47 tff(9534,assumption,(m_state_v_A1Mag(c_s, s2, c_off)), introduced(assumption)).
% 12.18/8.47 tff(9535,assumption,(~m_state_v_A1Mag(c_s, s3, c_off)), introduced(assumption)).
% 12.18/8.47 tff(9536,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9537,plain,
% 12.18/8.47 (((~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | m_state_v_A1Mag(c_s, s3, c_off)) <=> (m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)))),
% 12.18/8.47 inference(rewrite,[status(thm)],[])).
% 12.18/8.47 tff(9538,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | m_state_v_A1Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off))))),
% 12.18/8.47 inference(monotonicity,[status(thm)],[9537])).
% 12.18/8.47 tff(9539,plain,
% 12.18/8.47 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | m_state_v_A1Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)))),
% 12.18/8.47 inference(transitivity,[status(thm)],[9538, 9536])).
% 12.18/8.47 tff(9540,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off)) | m_state_v_A1Mag(c_s, s3, c_off))),
% 12.18/8.47 inference(quant_inst,[status(thm)],[])).
% 12.18/8.47 tff(9541,plain,
% 12.18/8.47 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s3, c_off) | (~node144(c_s, s2, s3)) | (~m_state_v_A1Mag(c_s, s2, c_off))),
% 12.18/8.47 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 12.18/8.47 tff(9542,plain,
% 12.18/8.47 ($false),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9541, 3562, 9535, 9534, 9533])).
% 12.18/8.47 tff(9543,plain,((~node144(c_s, s2, s3)) | m_state_v_A1Mag(c_s, s3, c_off) | (~m_state_v_A1Mag(c_s, s2, c_off))), inference(lemma,lemma(discharge,[]))).
% 12.18/8.47 tff(9544,plain,
% 12.18/8.47 ((~node144(c_s, s2, s3)) | m_state_v_A1Mag(c_s, s3, c_off)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9543, 5531])).
% 12.18/8.47 tff(9545,plain,
% 12.18/8.47 (~node144(c_s, s2, s3)),
% 12.18/8.47 inference(unit_resolution,[status(thm)],[9544, 9532])).
% 12.18/8.47 tff(9546,plain,
% 12.18/8.47 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))))),
% 12.18/8.47 inference(bind,[status(th)],[])).
% 12.18/8.47 tff(9547,plain,
% 12.18/8.47 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 12.18/8.47 inference(quant_intro,[status(thm)],[9546])).
% 12.18/8.47 tff(9548,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9549,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_110')).
% 12.18/8.48 tff(9550,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 12.18/8.48 tff(9551,plain,(
% 12.18/8.48 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 12.18/8.48 inference(skolemize,[status(sab)],[9550])).
% 12.18/8.48 tff(9552,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9551, 9547])).
% 12.18/8.48 tff(9553,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node143(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node143(c_s, s2)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9554,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s2, c_arm1topress) | (~node143(c_s, s2)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9555,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s2, c_arm1topress) | (~node143(c_s, s2))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 12.18/8.48 tff(9556,plain,
% 12.18/8.48 (~node143(c_s, s2)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9555, 9552, 6933])).
% 12.18/8.48 tff(9557,plain,
% 12.18/8.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s2, s3))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9558,plain,
% 12.18/8.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s2, s3))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9559,plain,
% 12.18/8.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s2, s3)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s2, s3)),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9558, 9557])).
% 12.18/8.48 tff(9560,plain,
% 12.18/8.48 (node145(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9559, 2729, 3512, 480])).
% 12.18/8.48 tff(9561,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s2) | node142(c_s, s2) | node144(c_s, s2, s3) | (~node145(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s2) | node142(c_s, s2) | node144(c_s, s2, s3) | (~node145(c_s, s2, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9562,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s2) | node142(c_s, s2) | node144(c_s, s2, s3) | (~node145(c_s, s2, s3)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9563,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s2) | node142(c_s, s2) | node144(c_s, s2, s3) | (~node145(c_s, s2, s3))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9562, 9561])).
% 12.18/8.48 tff(9564,plain,
% 12.18/8.48 (node143(c_s, s2) | node142(c_s, s2) | node144(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9563, 3548, 9560])).
% 12.18/8.48 tff(9565,plain,
% 12.18/8.48 (node142(c_s, s2) | node144(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9564, 9556])).
% 12.18/8.48 tff(9566,plain,
% 12.18/8.48 (node142(c_s, s2)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9565, 9545])).
% 12.18/8.48 tff(9567,plain,
% 12.18/8.48 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))))),
% 12.18/8.48 inference(bind,[status(th)],[])).
% 12.18/8.48 tff(9568,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 12.18/8.48 inference(quant_intro,[status(thm)],[9567])).
% 12.18/8.48 tff(9569,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9570,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_56')).
% 12.18/8.48 tff(9571,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9570, 9569])).
% 12.18/8.48 tff(9572,plain,(
% 12.18/8.48 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 12.18/8.48 inference(skolemize,[status(sab)],[9571])).
% 12.18/8.48 tff(9573,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9572, 9568])).
% 12.18/8.48 tff(9574,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_retracted) | (~node132(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | m_state_v_a1ext(c_s, s3, c_retracted) | (~node132(c_s, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9575,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s3, c_retracted) | (~node132(c_s, s3)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9576,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | m_state_v_a1ext(c_s, s3, c_retracted) | (~node132(c_s, s3))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 12.18/8.48 tff(9577,plain,
% 12.18/8.48 (m_state_v_a1ext(c_s, s3, c_retracted)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9576, 9573, 9524])).
% 12.18/8.48 tff(9578,plain,
% 12.18/8.48 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s3, c_ot)) | (~m_state_v_a1ext(c_s, s3, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s3, c_ot)) | (~m_state_v_a1ext(c_s, s3, c_retracted)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9579,plain,
% 12.18/8.48 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s3, c_ot)) | (~m_state_v_a1ext(c_s, s3, c_retracted)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9580,plain,
% 12.18/8.48 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s3, c_ot)) | (~m_state_v_a1ext(c_s, s3, c_retracted))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 12.18/8.48 tff(9581,plain,
% 12.18/8.48 (~m_state_v_a1ext(c_s, s3, c_ot)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9580, 2652, 9577])).
% 12.18/8.48 tff(9582,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9583,plain,
% 12.18/8.48 (((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_A1M(c_s, s2, c_extend))) <=> (m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9584,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | (m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3))))),
% 12.18/8.48 inference(monotonicity,[status(thm)],[9583])).
% 12.18/8.48 tff(9585,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_A1M(c_s, s2, c_extend)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3)))),
% 12.18/8.48 inference(transitivity,[status(thm)],[9584, 9582])).
% 12.18/8.48 tff(9586,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | ((~m_state_v_angle(c_s, s2, c_arm1totable)) | (~node32(c_s, s2, s3)) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_A1M(c_s, s2, c_extend)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9587,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_ot) | (~m_state_v_A1M(J0, X, c_extend)))) | m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend)) | (~node32(c_s, s2, s3))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 12.18/8.48 tff(9588,plain,
% 12.18/8.48 (m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_angle(c_s, s2, c_arm1totable)) | (~m_state_v_A1M(c_s, s2, c_extend))),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9587, 2683, 7136])).
% 12.18/8.48 tff(9589,plain,
% 12.18/8.48 (m_state_v_a1ext(c_s, s3, c_ot) | (~m_state_v_A1M(c_s, s2, c_extend))),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9588, 5273])).
% 12.18/8.48 tff(9590,plain,
% 12.18/8.48 (~m_state_v_A1M(c_s, s2, c_extend)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9589, 9581])).
% 12.18/8.48 tff(9591,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node142(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node142(c_s, s2)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9592,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s2, c_extend) | (~node142(c_s, s2)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9593,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s2, c_extend) | (~node142(c_s, s2))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 12.18/8.48 tff(9594,plain,
% 12.18/8.48 ($false),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9593, 3523, 9590, 9566])).
% 12.18/8.48 tff(9595,plain,(~node132(c_s, s3)), inference(lemma,lemma(discharge,[]))).
% 12.18/8.48 tff(9596,plain,
% 12.18/8.48 (^[X: $i, J0: $i] : refl(((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)))),
% 12.18/8.48 inference(bind,[status(th)],[])).
% 12.18/8.48 tff(9597,plain,
% 12.18/8.48 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(quant_intro,[status(thm)],[9596])).
% 12.18/8.48 tff(9598,plain,
% 12.18/8.48 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9599,plain,
% 12.18/8.48 (^[X: $i, J0: $i] : rewrite((m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X))) <=> ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend)))),
% 12.18/8.48 inference(bind,[status(th)],[])).
% 12.18/8.48 tff(9600,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X))) <=> ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(quant_intro,[status(thm)],[9599])).
% 12.18/8.48 tff(9601,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node33(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_47')).
% 12.18/8.48 tff(9602,plain,
% 12.18/8.48 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 12.18/8.48 tff(9603,plain,
% 12.18/8.48 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9602, 9598])).
% 12.18/8.48 tff(9604,plain,(
% 12.18/8.48 ![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(skolemize,[status(sab)],[9603])).
% 12.18/8.48 tff(9605,plain,
% 12.18/8.48 (![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9604, 9597])).
% 12.18/8.48 tff(9606,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9607,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9608,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s2)) | m_state_v_A2M(c_s, s2, c_extend)),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 12.18/8.48 tff(9609,plain,
% 12.18/8.48 (~node33(c_s, s2)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9608, 9605, 8386])).
% 12.18/8.48 tff(9610,plain,
% 12.18/8.48 (^[X: $i, J0: $i] : refl((m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))))),
% 12.18/8.48 inference(bind,[status(th)],[])).
% 12.18/8.48 tff(9611,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 12.18/8.48 inference(quant_intro,[status(thm)],[9610])).
% 12.18/8.48 tff(9612,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9613,axiom,(![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_49')).
% 12.18/8.48 tff(9614,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9613, 9612])).
% 12.18/8.48 tff(9615,plain,(
% 12.18/8.48 ![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 12.18/8.48 inference(skolemize,[status(sab)],[9614])).
% 12.18/8.48 tff(9616,plain,
% 12.18/8.48 (![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9615, 9611])).
% 12.18/8.48 tff(9617,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9618,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9619,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s2, c_extend) | (~node34(c_s, s2))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 12.18/8.48 tff(9620,plain,
% 12.18/8.48 (~node34(c_s, s2)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9619, 9616, 8386])).
% 12.18/8.48 tff(9621,plain,
% 12.18/8.48 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9622,plain,
% 12.18/8.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9623,plain,
% 12.18/8.48 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s2, s3)),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 12.18/8.48 tff(9624,plain,
% 12.18/8.48 (node36(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9623, 62, 3579, 480])).
% 12.18/8.48 tff(9625,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9626,plain,
% 12.18/8.48 ((m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3))) <=> (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9627,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3)))),
% 12.18/8.48 inference(monotonicity,[status(thm)],[9626])).
% 12.18/8.48 tff(9628,plain,
% 12.18/8.48 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3))),
% 12.18/8.48 inference(transitivity,[status(thm)],[9627, 9625])).
% 12.18/8.48 tff(9629,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s2, c_retract) | node34(c_s, s2) | node33(c_s, s2) | node35(c_s, s2, s3) | (~node36(c_s, s2, s3)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9630,plain,
% 12.18/8.48 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | (~node36(c_s, s2, s3)) | node35(c_s, s2, s3)),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 12.18/8.48 tff(9631,plain,
% 12.18/8.48 (m_state_v_A2M(c_s, s2, c_retract) | node33(c_s, s2) | node34(c_s, s2) | node35(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9630, 3629, 9624])).
% 12.18/8.48 tff(9632,plain,
% 12.18/8.48 (node35(c_s, s2, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9631, 9620, 6904, 9609])).
% 12.18/8.48 tff(9633,plain,
% 12.18/8.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9634,plain,
% 12.18/8.48 (((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_ob) | (~m_state_v_a2ext(c_s, s3, c_ob))) <=> ((~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9635,plain,
% 12.18/8.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_ob) | (~m_state_v_a2ext(c_s, s3, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3))))),
% 12.18/8.48 inference(monotonicity,[status(thm)],[9634])).
% 12.18/8.48 tff(9636,plain,
% 12.18/8.48 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_ob) | (~m_state_v_a2ext(c_s, s3, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3)))),
% 12.18/8.48 inference(transitivity,[status(thm)],[9635, 9633])).
% 12.18/8.48 tff(9637,plain,
% 12.18/8.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_ob) | (~m_state_v_a2ext(c_s, s3, c_ob)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9638,plain,
% 12.18/8.48 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_ob)) | m_state_v_a2ext(c_s, s2, c_ob) | (~node35(c_s, s2, s3))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 12.18/8.48 tff(9639,plain,
% 12.18/8.48 (~m_state_v_a2ext(c_s, s3, c_ob)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9638, 5294, 8518, 9632])).
% 12.18/8.48 tff(9640,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9641,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3)))),
% 12.18/8.48 inference(quant_inst,[status(thm)],[])).
% 12.18/8.48 tff(9642,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s3, c_ob) | (~node137(c_s, s3))),
% 12.18/8.48 inference(modus_ponens,[status(thm)],[9641, 9640])).
% 12.18/8.48 tff(9643,plain,
% 12.18/8.48 (~node137(c_s, s3)),
% 12.18/8.48 inference(unit_resolution,[status(thm)],[9642, 5345, 9639])).
% 12.18/8.48 tff(9644,plain,
% 12.18/8.48 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 12.18/8.48 inference(rewrite,[status(thm)],[])).
% 12.18/8.48 tff(9645,plain,
% 12.18/8.48 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9646,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s3)) | m_state_v_A2Mag(c_s, s3, c_on)),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9645, 9644])).
% 12.18/8.49 tff(9647,plain,
% 12.18/8.49 (~node133(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9646, 8463, 8427])).
% 12.18/8.49 tff(9648,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9649,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9650,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node138(c_s, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 12.18/8.49 tff(9651,plain,
% 12.18/8.49 (~node138(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9650, 8485, 8541])).
% 12.18/8.49 tff(9652,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9653,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9654,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node139(c_s, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 12.18/8.49 tff(9655,plain,
% 12.18/8.49 (~node139(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9654, 8449, 8541])).
% 12.18/8.49 tff(9656,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9657,plain,
% 12.18/8.49 (((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip))) <=> (m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9658,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2))))),
% 12.18/8.49 inference(monotonicity,[status(thm)],[9657])).
% 12.18/8.49 tff(9659,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2)))),
% 12.18/8.49 inference(transitivity,[status(thm)],[9658, 9656])).
% 12.18/8.49 tff(9660,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s1, s2)) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9661,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s1, c_a2ip) | (~m_state_v_a2ext(c_s, s2, c_a2ip)) | (~node35(c_s, s1, s2))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 12.18/8.49 tff(9662,plain,
% 12.18/8.49 (~m_state_v_a2ext(c_s, s2, c_a2ip)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9661, 5294, 5301, 5569])).
% 12.18/8.49 tff(9663,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9664,plain,
% 12.18/8.49 (((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~m_state_v_a2ext(c_s, s3, c_a2ip))) <=> ((~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9665,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~m_state_v_a2ext(c_s, s3, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3))))),
% 12.18/8.49 inference(monotonicity,[status(thm)],[9664])).
% 12.18/8.49 tff(9666,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~m_state_v_a2ext(c_s, s3, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3)))),
% 12.18/8.49 inference(transitivity,[status(thm)],[9665, 9663])).
% 12.18/8.49 tff(9667,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s2, s3)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~m_state_v_a2ext(c_s, s3, c_a2ip)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9668,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s3, c_a2ip)) | m_state_v_a2ext(c_s, s2, c_a2ip) | (~node35(c_s, s2, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9667, 9666])).
% 12.18/8.49 tff(9669,plain,
% 12.18/8.49 (~m_state_v_a2ext(c_s, s3, c_a2ip)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9668, 5294, 9662, 9632])).
% 12.18/8.49 tff(9670,plain,
% 12.18/8.49 (^[X: $i, J0: $i] : refl(((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)))),
% 12.18/8.49 inference(bind,[status(th)],[])).
% 12.18/8.49 tff(9671,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(quant_intro,[status(thm)],[9670])).
% 12.18/8.49 tff(9672,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9673,plain,
% 12.18/8.49 (^[X: $i, J0: $i] : rewrite((m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X))) <=> ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip)))),
% 12.18/8.49 inference(bind,[status(th)],[])).
% 12.18/8.49 tff(9674,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X))) <=> ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(quant_intro,[status(thm)],[9673])).
% 12.18/8.49 tff(9675,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node134(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_77')).
% 12.18/8.49 tff(9676,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 12.18/8.49 tff(9677,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9676, 9672])).
% 12.18/8.49 tff(9678,plain,(
% 12.18/8.49 ![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(skolemize,[status(sab)],[9677])).
% 12.18/8.49 tff(9679,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9678, 9671])).
% 12.18/8.49 tff(9680,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_a2ip))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9681,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_a2ip))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9682,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_a2ip)),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 12.18/8.49 tff(9683,plain,
% 12.18/8.49 (~node134(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9682, 9679, 9669])).
% 12.18/8.49 tff(9684,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9685,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9686,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node136(c_s, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9685, 9684])).
% 12.18/8.49 tff(9687,plain,
% 12.18/8.49 (~node136(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9686, 8496, 8427])).
% 12.18/8.49 tff(9688,plain,
% 12.18/8.49 (^[X: $i, J0: $i] : refl(((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)))),
% 12.18/8.49 inference(bind,[status(th)],[])).
% 12.18/8.49 tff(9689,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(quant_intro,[status(thm)],[9688])).
% 12.18/8.49 tff(9690,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9691,plain,
% 12.18/8.49 (^[X: $i, J0: $i] : rewrite((m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X))) <=> ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob)))),
% 12.18/8.49 inference(bind,[status(th)],[])).
% 12.18/8.49 tff(9692,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X))) <=> ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(quant_intro,[status(thm)],[9691])).
% 12.18/8.49 tff(9693,axiom,(![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node135(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_80')).
% 12.18/8.49 tff(9694,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9693, 9692])).
% 12.18/8.49 tff(9695,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9694, 9690])).
% 12.18/8.49 tff(9696,plain,(
% 12.18/8.49 ![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(skolemize,[status(sab)],[9695])).
% 12.18/8.49 tff(9697,plain,
% 12.18/8.49 (![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9696, 9689])).
% 12.18/8.49 tff(9698,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9699,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9700,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s3)) | m_state_v_a2ext(c_s, s3, c_ob)),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 12.18/8.49 tff(9701,plain,
% 12.18/8.49 (~node135(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9700, 9697, 9639])).
% 12.18/8.49 tff(9702,plain,
% 12.18/8.49 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9703,plain,
% 12.18/8.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9704,plain,
% 12.18/8.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s3, s4)),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 12.18/8.49 tff(9705,plain,
% 12.18/8.49 (node141(c_s, s3, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9704, 2729, 3159, 911])).
% 12.18/8.49 tff(9706,plain,
% 12.18/8.49 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9707,plain,
% 12.18/8.49 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9708,plain,
% 12.18/8.49 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4) | (~node141(c_s, s3, s4))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 12.18/8.49 tff(9709,plain,
% 12.18/8.49 (node132(c_s, s3) | node133(c_s, s3) | node134(c_s, s3) | node135(c_s, s3) | node136(c_s, s3) | node137(c_s, s3) | node138(c_s, s3) | node139(c_s, s3) | node140(c_s, s3, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9708, 3261, 9705])).
% 12.18/8.49 tff(9710,plain,
% 12.18/8.49 (node132(c_s, s3) | node140(c_s, s3, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9709, 9701, 9687, 9683, 9655, 9651, 9647, 9643])).
% 12.18/8.49 tff(9711,plain,
% 12.18/8.49 (node140(c_s, s3, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9710, 9595])).
% 12.18/8.49 tff(9712,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9713,plain,
% 12.18/8.49 (((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract))) <=> (m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9714,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract))))),
% 12.18/8.49 inference(monotonicity,[status(thm)],[9713])).
% 12.18/8.49 tff(9715,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract)))),
% 12.18/8.49 inference(transitivity,[status(thm)],[9714, 9712])).
% 12.18/8.49 tff(9716,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | (~m_state_v_A2M(c_s, s4, c_retract)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9717,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_retract))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 12.18/8.49 tff(9718,plain,
% 12.18/8.49 (~m_state_v_A2M(c_s, s4, c_retract)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9717, 5541, 8541, 9711])).
% 12.18/8.49 tff(9719,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9720,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9721,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node151(c_s, s4))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 12.18/8.49 tff(9722,plain,
% 12.18/8.49 (~node151(c_s, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9721, 6993, 9718])).
% 12.18/8.49 tff(9723,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9724,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9725,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node152(c_s, s4))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 12.18/8.49 tff(9726,plain,
% 12.18/8.49 (~node152(c_s, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9725, 6911, 9718])).
% 12.18/8.49 tff(9727,plain,
% 12.18/8.49 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))))),
% 12.18/8.49 inference(bind,[status(th)],[])).
% 12.18/8.49 tff(9728,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 12.18/8.49 inference(quant_intro,[status(thm)],[9727])).
% 12.18/8.49 tff(9729,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9730,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_147')).
% 12.18/8.49 tff(9731,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 12.18/8.49 tff(9732,plain,(
% 12.18/8.49 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 12.18/8.49 inference(skolemize,[status(sab)],[9731])).
% 12.18/8.49 tff(9733,plain,
% 12.18/8.49 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9732, 9728])).
% 12.18/8.49 tff(9734,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9735,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9736,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node154(c_s, s4))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 12.18/8.49 tff(9737,plain,
% 12.18/8.49 (~node154(c_s, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9736, 9733, 8587])).
% 12.18/8.49 tff(9738,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9739,plain,
% 12.18/8.49 (((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_extend) | (~m_state_v_A2M(c_s, s3, c_extend))) <=> ((~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9740,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_extend) | (~m_state_v_A2M(c_s, s3, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3))))),
% 12.18/8.49 inference(monotonicity,[status(thm)],[9739])).
% 12.18/8.49 tff(9741,plain,
% 12.18/8.49 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_extend) | (~m_state_v_A2M(c_s, s3, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3)))),
% 12.18/8.49 inference(transitivity,[status(thm)],[9740, 9738])).
% 12.18/8.49 tff(9742,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s2, s3)) | m_state_v_A2M(c_s, s2, c_extend) | (~m_state_v_A2M(c_s, s3, c_extend)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9743,plain,
% 12.18/8.49 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s3, c_extend)) | m_state_v_A2M(c_s, s2, c_extend) | (~node140(c_s, s2, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 12.18/8.49 tff(9744,plain,
% 12.18/8.49 (~m_state_v_A2M(c_s, s3, c_extend)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9743, 5541, 8386, 8534])).
% 12.18/8.49 tff(9745,assumption,(~node148(c_s, s3, s4)), introduced(assumption)).
% 12.18/8.49 tff(9746,assumption,(~m_state_v_A2M(c_s, s3, c_extend)), introduced(assumption)).
% 12.18/8.49 tff(9747,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9748,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9749,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node147(c_s, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 12.18/8.49 tff(9750,plain,
% 12.18/8.49 (~node147(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9749, 8393, 9746])).
% 12.18/8.49 tff(9751,plain,
% 12.18/8.49 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9752,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3)))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9753,plain,
% 12.18/8.49 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node146(c_s, s3))),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9752, 9751])).
% 12.18/8.49 tff(9754,plain,
% 12.18/8.49 (~node146(c_s, s3)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9753, 8404, 9746])).
% 12.18/8.49 tff(9755,plain,
% 12.18/8.49 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))),
% 12.18/8.49 inference(rewrite,[status(thm)],[])).
% 12.18/8.49 tff(9756,plain,
% 12.18/8.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4))),
% 12.18/8.49 inference(quant_inst,[status(thm)],[])).
% 12.18/8.49 tff(9757,plain,
% 12.18/8.49 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s3, s4)),
% 12.18/8.49 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 12.18/8.49 tff(9758,plain,
% 12.18/8.49 (node149(c_s, s3, s4)),
% 12.18/8.49 inference(unit_resolution,[status(thm)],[9757, 2729, 3295, 911])).
% 12.18/8.49 tff(9759,plain,
% 12.18/8.49 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9760,plain,
% 12.18/8.50 ((node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))) <=> (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9761,plain,
% 12.18/8.50 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9760])).
% 12.18/8.50 tff(9762,plain,
% 12.18/8.50 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9761, 9759])).
% 12.18/8.50 tff(9763,plain,
% 12.18/8.50 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s3) | node147(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9764,plain,
% 12.18/8.50 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4) | (~node149(c_s, s3, s4))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 12.18/8.50 tff(9765,plain,
% 12.18/8.50 (node147(c_s, s3) | node146(c_s, s3) | node148(c_s, s3, s4)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9764, 3331, 9758])).
% 12.18/8.50 tff(9766,plain,
% 12.18/8.50 ($false),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9765, 9754, 9750, 9745])).
% 12.18/8.50 tff(9767,plain,(m_state_v_A2M(c_s, s3, c_extend) | node148(c_s, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 12.18/8.50 tff(9768,plain,
% 12.18/8.50 (node148(c_s, s3, s4)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9767, 9744])).
% 12.18/8.50 tff(9769,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9770,plain,
% 12.18/8.50 (((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on))) <=> (m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9771,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9770])).
% 12.18/8.50 tff(9772,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9771, 9769])).
% 12.18/8.50 tff(9773,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s3, s4)) | m_state_v_A2Mag(c_s, s3, c_on) | (~m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9774,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s3, c_on) | (~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s4, c_on))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 12.18/8.50 tff(9775,plain,
% 12.18/8.50 (~m_state_v_A2Mag(c_s, s4, c_on)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9774, 5430, 8427, 9768])).
% 12.18/8.50 tff(9776,plain,
% 12.18/8.50 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9777,plain,
% 12.18/8.50 ((m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4))) <=> ((~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9778,plain,
% 12.18/8.50 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9777])).
% 12.18/8.50 tff(9779,plain,
% 12.18/8.50 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9778, 9776])).
% 12.18/8.50 tff(9780,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node155(c_s, s4)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9781,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 12.18/8.50 tff(9782,plain,
% 12.18/8.50 (~node155(c_s, s4)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9781, 6922, 9775])).
% 12.18/8.50 tff(9783,plain,
% 12.18/8.50 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9784,plain,
% 12.18/8.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9785,plain,
% 12.18/8.50 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s4, s5)),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 12.18/8.50 tff(9786,plain,
% 12.18/8.50 (node159(c_s, s4, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9785, 2729, 3365, 1043])).
% 12.18/8.50 tff(9787,plain,
% 12.18/8.50 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9788,plain,
% 12.18/8.50 ((node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5))) <=> (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9789,plain,
% 12.18/8.50 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5)))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9788])).
% 12.18/8.50 tff(9790,plain,
% 12.18/8.50 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9789, 9787])).
% 12.18/8.50 tff(9791,plain,
% 12.18/8.50 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s4) | node151(c_s, s4) | node152(c_s, s4) | node153(c_s, s4) | node154(c_s, s4) | node155(c_s, s4) | node156(c_s, s4) | node157(c_s, s4) | node158(c_s, s4, s5) | (~node159(c_s, s4, s5)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9792,plain,
% 12.18/8.50 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | (~node159(c_s, s4, s5)) | node158(c_s, s4, s5)),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 12.18/8.50 tff(9793,plain,
% 12.18/8.50 (node157(c_s, s4) | node156(c_s, s4) | node155(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9792, 3478, 9786])).
% 12.18/8.50 tff(9794,plain,
% 12.18/8.50 (node157(c_s, s4) | node156(c_s, s4) | node154(c_s, s4) | node152(c_s, s4) | node151(c_s, s4) | node153(c_s, s4) | node150(c_s, s4) | node158(c_s, s4, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9793, 9782])).
% 12.18/8.50 tff(9795,plain,
% 12.18/8.50 (node158(c_s, s4, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9794, 9737, 9726, 9722, 9523, 9512, 9498, 9484])).
% 12.18/8.50 tff(9796,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9797,plain,
% 12.18/8.50 (((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9798,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9797])).
% 12.18/8.50 tff(9799,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9798, 9796])).
% 12.18/8.50 tff(9800,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~m_state_v_RRM(c_s, s5, c_counterclock)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9801,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_counterclock)) | m_state_v_RRM(c_s, s4, c_counterclock) | (~node158(c_s, s4, s5))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9800, 9799])).
% 12.18/8.50 tff(9802,plain,
% 12.18/8.50 (~m_state_v_RRM(c_s, s5, c_counterclock)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9801, 5151, 8587, 9795])).
% 12.18/8.50 tff(9803,plain,
% 12.18/8.50 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9804,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9805,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s5)) | m_state_v_RRM(c_s, s5, c_counterclock)),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 12.18/8.50 tff(9806,plain,
% 12.18/8.50 (~node37(c_s, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9805, 2461, 9802])).
% 12.18/8.50 tff(9807,plain,
% 12.18/8.50 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node40(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node40(c_s, s5)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9808,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node40(c_s, s5)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9809,plain,
% 12.18/8.50 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node40(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node40(c_s, s5))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 12.18/8.50 tff(9810,plain,
% 12.18/8.50 (~node40(c_s, s5)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9809, 2536, 8639])).
% 12.18/8.50 tff(9811,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9812,plain,
% 12.18/8.50 (((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress))) <=> (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9813,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9812])).
% 12.18/8.50 tff(9814,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9813, 9811])).
% 12.18/8.50 tff(9815,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s1, s2)) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9816,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s1, c_arm2topress) | (~m_state_v_angle(c_s, s2, c_arm2topress)) | (~node41(c_s, s1, s2))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9815, 9814])).
% 12.18/8.50 tff(9817,plain,
% 12.18/8.50 (~m_state_v_angle(c_s, s2, c_arm2topress)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9816, 2567, 5187, 5266])).
% 12.18/8.50 tff(9818,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9819,plain,
% 12.18/8.50 (((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress))) <=> ((~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9820,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9819])).
% 12.18/8.50 tff(9821,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9820, 9818])).
% 12.18/8.50 tff(9822,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s2, s3)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~m_state_v_angle(c_s, s3, c_arm2topress)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9823,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s3, c_arm2topress)) | m_state_v_angle(c_s, s2, c_arm2topress) | (~node41(c_s, s2, s3))),
% 12.18/8.50 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 12.18/8.50 tff(9824,plain,
% 12.18/8.50 (~m_state_v_angle(c_s, s3, c_arm2topress)),
% 12.18/8.50 inference(unit_resolution,[status(thm)],[9823, 2567, 9817, 6416])).
% 12.18/8.50 tff(9825,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9826,plain,
% 12.18/8.50 (((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress))) <=> (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 12.18/8.50 inference(rewrite,[status(thm)],[])).
% 12.18/8.50 tff(9827,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4))))),
% 12.18/8.50 inference(monotonicity,[status(thm)],[9826])).
% 12.18/8.50 tff(9828,plain,
% 12.18/8.50 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4)))),
% 12.18/8.50 inference(transitivity,[status(thm)],[9827, 9825])).
% 12.18/8.50 tff(9829,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s3, s4)) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)))),
% 12.18/8.50 inference(quant_inst,[status(thm)],[])).
% 12.18/8.50 tff(9830,plain,
% 12.18/8.50 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s3, c_arm2topress) | (~m_state_v_angle(c_s, s4, c_arm2topress)) | (~node41(c_s, s3, s4))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 12.18/8.51 tff(9831,plain,
% 12.18/8.51 (~m_state_v_angle(c_s, s4, c_arm2topress)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9830, 2567, 9824, 7044])).
% 12.18/8.51 tff(9832,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9833,plain,
% 12.18/8.51 (((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress))) <=> ((~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9834,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5))))),
% 12.18/8.51 inference(monotonicity,[status(thm)],[9833])).
% 12.18/8.51 tff(9835,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5)))),
% 12.18/8.51 inference(transitivity,[status(thm)],[9834, 9832])).
% 12.18/8.51 tff(9836,plain,
% 12.18/8.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s4, s5)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~m_state_v_angle(c_s, s5, c_arm2topress)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9837,plain,
% 12.18/8.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (~m_state_v_angle(c_s, s5, c_arm2topress)) | m_state_v_angle(c_s, s4, c_arm2topress) | (~node41(c_s, s4, s5))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9836, 9835])).
% 12.18/8.51 tff(9838,plain,
% 12.18/8.51 (~m_state_v_angle(c_s, s5, c_arm2topress)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9837, 2567, 9831, 8625])).
% 12.18/8.51 tff(9839,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node38(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node38(c_s, s5)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9840,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node38(c_s, s5)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9841,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node38(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node38(c_s, s5))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 12.18/8.51 tff(9842,plain,
% 12.18/8.51 (~node38(c_s, s5)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9841, 2492, 9838])).
% 12.18/8.51 tff(9843,plain,
% 12.18/8.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9844,plain,
% 12.18/8.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9845,plain,
% 12.18/8.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s5, s6)),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9844, 9843])).
% 12.18/8.51 tff(9846,plain,
% 12.18/8.51 (node42(c_s, s5, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9845, 62, 2427, 14])).
% 12.18/8.51 tff(9847,plain,
% 12.18/8.51 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9848,plain,
% 12.18/8.51 ((node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6))) <=> (node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9849,plain,
% 12.18/8.51 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5)))),
% 12.18/8.51 inference(monotonicity,[status(thm)],[9848])).
% 12.18/8.51 tff(9850,plain,
% 12.18/8.51 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5))),
% 12.18/8.51 inference(transitivity,[status(thm)],[9849, 9847])).
% 12.18/8.51 tff(9851,plain,
% 12.18/8.51 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s5) | node38(c_s, s5) | node39(c_s, s5) | node40(c_s, s5) | node41(c_s, s5, s6) | (~node42(c_s, s5, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9852,plain,
% 12.18/8.51 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | (~node42(c_s, s5, s6)) | node39(c_s, s5) | node40(c_s, s5)),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 12.18/8.51 tff(9853,plain,
% 12.18/8.51 (node41(c_s, s5, s6) | node38(c_s, s5) | node37(c_s, s5) | node39(c_s, s5) | node40(c_s, s5)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9852, 2550, 9846])).
% 12.18/8.51 tff(9854,plain,
% 12.18/8.51 (node41(c_s, s5, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9853, 9842, 9810, 9806, 9480])).
% 12.18/8.51 tff(9855,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9856,plain,
% 12.18/8.51 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress))) <=> (m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9857,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress))))),
% 12.18/8.51 inference(monotonicity,[status(thm)],[9856])).
% 12.18/8.51 tff(9858,plain,
% 12.18/8.51 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 12.18/8.51 inference(transitivity,[status(thm)],[9857, 9855])).
% 12.18/8.51 tff(9859,plain,
% 12.18/8.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm1topress) | (~m_state_v_angle(c_s, s6, c_arm1topress)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9860,plain,
% 12.18/8.51 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm1topress))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 12.18/8.51 tff(9861,plain,
% 12.18/8.51 (~m_state_v_angle(c_s, s6, c_arm1topress)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9860, 2567, 9854, 8639])).
% 12.18/8.51 tff(9862,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9863,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9864,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node125(c_s, s6))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 12.18/8.51 tff(9865,plain,
% 12.18/8.51 (~node125(c_s, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9864, 7073, 9861])).
% 12.18/8.51 tff(9866,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9867,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9868,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node129(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node129(c_s, s6))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 12.18/8.51 tff(9869,plain,
% 12.18/8.51 (~node129(c_s, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9868, 3010, 9861])).
% 12.18/8.51 tff(9870,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9871,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | ((~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9872,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1M(J0, X, c_idle))) | (~node122(c_s, s6)) | m_state_v_A1M(c_s, s6, c_idle)),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 12.18/8.51 tff(9873,plain,
% 12.18/8.51 (~node122(c_s, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9872, 7102, 9444])).
% 12.18/8.51 tff(9874,plain,
% 12.18/8.51 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9875,plain,
% 12.18/8.51 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | ((~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9876,plain,
% 12.18/8.51 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_retract)))) | (~m_state_v_A1M(c_s, s6, c_extend)) | (~m_state_v_A1M(c_s, s6, c_retract))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 12.18/8.51 tff(9877,plain,
% 12.18/8.51 (~m_state_v_A1M(c_s, s6, c_extend)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9876, 2639, 9437])).
% 12.18/8.51 tff(9878,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9879,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9880,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node124(c_s, s6))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 12.18/8.51 tff(9881,plain,
% 12.18/8.51 (~node124(c_s, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9880, 2845, 9877])).
% 12.18/8.51 tff(9882,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9883,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9884,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node127(c_s, s6))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 12.18/8.51 tff(9885,plain,
% 12.18/8.51 (~node127(c_s, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9884, 2823, 9861])).
% 12.18/8.51 tff(9886,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9887,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9888,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node161(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node161(c_s, s5))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 12.18/8.51 tff(9889,plain,
% 12.18/8.51 (~node161(c_s, s5)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9888, 8003, 8639])).
% 12.18/8.51 tff(9890,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node160(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node160(c_s, s5)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9891,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node160(c_s, s5)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9892,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node160(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node160(c_s, s5))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 12.18/8.51 tff(9893,plain,
% 12.18/8.51 (~node160(c_s, s5)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9892, 7204, 9838])).
% 12.18/8.51 tff(9894,plain,
% 12.18/8.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9895,plain,
% 12.18/8.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9896,plain,
% 12.18/8.51 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s5, s6)),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 12.18/8.51 tff(9897,plain,
% 12.18/8.51 (node163(c_s, s5, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9896, 2729, 7193, 14])).
% 12.18/8.51 tff(9898,plain,
% 12.18/8.51 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9899,plain,
% 12.18/8.51 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9900,plain,
% 12.18/8.51 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6) | (~node163(c_s, s5, s6))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9899, 9898])).
% 12.18/8.51 tff(9901,plain,
% 12.18/8.51 (node161(c_s, s5) | node160(c_s, s5) | node162(c_s, s5, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9900, 7229, 9897])).
% 12.18/8.51 tff(9902,plain,
% 12.18/8.51 (node162(c_s, s5, s6)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9901, 9893, 9889])).
% 12.18/8.51 tff(9903,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9904,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9905,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node160(c_s, s4))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 12.18/8.51 tff(9906,plain,
% 12.18/8.51 (~node160(c_s, s4)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9905, 9337, 9718])).
% 12.18/8.51 tff(9907,plain,
% 12.18/8.51 (^[X: $i, J0: $i] : refl((m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))))),
% 12.18/8.51 inference(bind,[status(th)],[])).
% 12.18/8.51 tff(9908,plain,
% 12.18/8.51 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.18/8.51 inference(quant_intro,[status(thm)],[9907])).
% 12.18/8.51 tff(9909,plain,
% 12.18/8.51 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9910,axiom,(![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_192')).
% 12.18/8.51 tff(9911,plain,
% 12.18/8.51 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 12.18/8.51 tff(9912,plain,(
% 12.18/8.51 ![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.18/8.51 inference(skolemize,[status(sab)],[9911])).
% 12.18/8.51 tff(9913,plain,
% 12.18/8.51 (![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9912, 9908])).
% 12.18/8.51 tff(9914,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | ((~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9915,plain,
% 12.18/8.51 ((m_state_v_a1ext(c_s, s4, c_retracted) | (~node161(c_s, s4))) <=> ((~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.51 inference(rewrite,[status(thm)],[])).
% 12.18/8.51 tff(9916,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node161(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | ((~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)))),
% 12.18/8.51 inference(monotonicity,[status(thm)],[9915])).
% 12.18/8.51 tff(9917,plain,
% 12.18/8.51 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node161(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.18/8.51 inference(transitivity,[status(thm)],[9916, 9914])).
% 12.18/8.51 tff(9918,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node161(c_s, s4)))),
% 12.18/8.51 inference(quant_inst,[status(thm)],[])).
% 12.18/8.51 tff(9919,plain,
% 12.18/8.51 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node161(J0, X)))) | (~node161(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 12.18/8.51 inference(modus_ponens,[status(thm)],[9918, 9917])).
% 12.18/8.51 tff(9920,plain,
% 12.18/8.51 (~node161(c_s, s4)),
% 12.18/8.51 inference(unit_resolution,[status(thm)],[9919, 9913, 6439])).
% 12.18/8.51 tff(9921,plain,
% 12.18/8.51 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9922,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9923,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s4, s5)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 12.18/8.52 tff(9924,plain,
% 12.18/8.52 (node163(c_s, s4, s5)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9923, 2729, 7193, 1043])).
% 12.18/8.52 tff(9925,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9926,plain,
% 12.18/8.52 ((node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))) <=> (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9927,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[9926])).
% 12.18/8.52 tff(9928,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 12.18/8.52 inference(transitivity,[status(thm)],[9927, 9925])).
% 12.18/8.52 tff(9929,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s4) | node160(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9930,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5) | (~node163(c_s, s4, s5))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 12.18/8.52 tff(9931,plain,
% 12.18/8.52 (node160(c_s, s4) | node161(c_s, s4) | node162(c_s, s4, s5)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9930, 7229, 9924])).
% 12.18/8.52 tff(9932,plain,
% 12.18/8.52 (node162(c_s, s4, s5)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9931, 9920, 9906])).
% 12.18/8.52 tff(9933,plain,
% 12.18/8.52 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9934,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | (m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9935,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node161(J0, X)))) | m_state_v_A1M(c_s, s3, c_retract) | (~node161(c_s, s3))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 12.18/8.52 tff(9936,plain,
% 12.18/8.52 (~node161(c_s, s3)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9935, 7215, 5627])).
% 12.18/8.52 tff(9937,plain,
% 12.18/8.52 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9938,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | (m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9939,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node160(J0, X)))) | m_state_v_A2M(c_s, s3, c_retract) | (~node160(c_s, s3))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 12.18/8.52 tff(9940,plain,
% 12.18/8.52 (~node160(c_s, s3)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9939, 9337, 8541])).
% 12.18/8.52 tff(9941,plain,
% 12.18/8.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9942,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9943,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node163(J0, X, Y))) | (~trans(s3, s4)) | (~m_Robot_v_s(c_RB, c_s)) | node163(c_s, s3, s4)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 12.18/8.52 tff(9944,plain,
% 12.18/8.52 (node163(c_s, s3, s4)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9943, 2729, 7193, 911])).
% 12.18/8.52 tff(9945,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9946,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9947,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node161(J0, X) | node160(J0, X) | node162(J0, X, Y) | (~node163(J0, X, Y)))) | node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4) | (~node163(c_s, s3, s4))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 12.18/8.52 tff(9948,plain,
% 12.18/8.52 (node161(c_s, s3) | node160(c_s, s3) | node162(c_s, s3, s4)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9947, 7229, 9944])).
% 12.18/8.52 tff(9949,plain,
% 12.18/8.52 (node161(c_s, s3) | node162(c_s, s3, s4)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9948, 9940])).
% 12.18/8.52 tff(9950,plain,
% 12.18/8.52 (node162(c_s, s3, s4)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9949, 9936])).
% 12.18/8.52 tff(9951,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9952,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9953,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s3)) | (~node162(c_s, s3, s4)) | m_state_v_pl(c_s, s4)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 12.18/8.52 tff(9954,plain,
% 12.18/8.52 (m_state_v_pl(c_s, s4)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9953, 7246, 9358, 9950])).
% 12.18/8.52 tff(9955,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9956,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9957,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s4)) | (~node162(c_s, s4, s5)) | m_state_v_pl(c_s, s5)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 12.18/8.52 tff(9958,plain,
% 12.18/8.52 (m_state_v_pl(c_s, s5)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9957, 7246, 9954, 9932])).
% 12.18/8.52 tff(9959,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9960,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | ((~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9961,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node162(J0, X, Y)) | m_state_v_pl(J0, Y))) | (~m_state_v_pl(c_s, s5)) | (~node162(c_s, s5, s6)) | m_state_v_pl(c_s, s6)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9960, 9959])).
% 12.18/8.52 tff(9962,plain,
% 12.18/8.52 (m_state_v_pl(c_s, s6)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9961, 7246, 9958, 9902])).
% 12.18/8.52 tff(9963,plain,
% 12.18/8.52 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9964,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9965,plain,
% 12.18/8.52 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node123(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node123(c_s, s6))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 12.18/8.52 tff(9966,plain,
% 12.18/8.52 (~node123(c_s, s6)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9965, 2898, 9962])).
% 12.18/8.52 tff(9967,plain,
% 12.18/8.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9968,plain,
% 12.18/8.52 (((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9969,plain,
% 12.18/8.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7)))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[9968])).
% 12.18/8.52 tff(9970,plain,
% 12.18/8.52 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7))),
% 12.18/8.52 inference(transitivity,[status(thm)],[9969, 9967])).
% 12.18/8.52 tff(9971,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s6, s7)) | node131(c_s, s6, s7) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9972,plain,
% 12.18/8.52 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s6, s7)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 12.18/8.52 tff(9973,plain,
% 12.18/8.52 (node131(c_s, s6, s7)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9972, 2729, 2726, 2095])).
% 12.18/8.52 tff(9974,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9975,plain,
% 12.18/8.52 ((node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7))) <=> (node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9976,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7)))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[9975])).
% 12.18/8.52 tff(9977,plain,
% 12.18/8.52 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7))),
% 12.18/8.52 inference(transitivity,[status(thm)],[9976, 9974])).
% 12.18/8.52 tff(9978,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s6) | node123(c_s, s6) | node124(c_s, s6) | node125(c_s, s6) | node126(c_s, s6) | node127(c_s, s6) | node128(c_s, s6) | node129(c_s, s6) | node130(c_s, s6, s7) | (~node131(c_s, s6, s7)))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9979,plain,
% 12.18/8.52 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | (~node131(c_s, s6, s7)) | node130(c_s, s6, s7)),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 12.18/8.52 tff(9980,plain,
% 12.18/8.52 (node122(c_s, s6) | node123(c_s, s6) | node128(c_s, s6) | node126(c_s, s6) | node124(c_s, s6) | node129(c_s, s6) | node127(c_s, s6) | node125(c_s, s6) | node130(c_s, s6, s7)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9979, 2912, 9973])).
% 12.18/8.52 tff(9981,plain,
% 12.18/8.52 (node128(c_s, s6) | node130(c_s, s6, s7)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9980, 9966, 9885, 9881, 9873, 9869, 9865, 9448])).
% 12.18/8.52 tff(9982,plain,
% 12.18/8.52 (node130(c_s, s6, s7)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9981, 9179])).
% 12.18/8.52 tff(9983,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9984,plain,
% 12.18/8.52 (((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract)) <=> (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9985,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7))))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[9984])).
% 12.18/8.52 tff(9986,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7)))),
% 12.18/8.52 inference(transitivity,[status(thm)],[9985, 9983])).
% 12.18/8.52 tff(9987,plain,
% 12.18/8.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s6, s7)) | (~m_state_v_A1M(c_s, s6, c_retract)) | m_state_v_A1M(c_s, s7, c_retract))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9988,plain,
% 12.18/8.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | m_state_v_A1M(c_s, s7, c_retract) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node130(c_s, s6, s7))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 12.18/8.52 tff(9989,plain,
% 12.18/8.52 (m_state_v_A1M(c_s, s7, c_retract)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9988, 2963, 9437, 9982])).
% 12.18/8.52 tff(9990,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9991,plain,
% 12.18/8.52 (((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle)) <=> (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(9992,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3))))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[9991])).
% 12.18/8.52 tff(9993,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3)))),
% 12.18/8.52 inference(transitivity,[status(thm)],[9992, 9990])).
% 12.18/8.52 tff(9994,plain,
% 12.18/8.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s2, s3)) | (~m_state_v_RRM(c_s, s2, c_idle)) | m_state_v_RRM(c_s, s3, c_idle))),
% 12.18/8.52 inference(quant_inst,[status(thm)],[])).
% 12.18/8.52 tff(9995,plain,
% 12.18/8.52 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s3, c_idle) | (~m_state_v_RRM(c_s, s2, c_idle)) | (~node158(c_s, s2, s3))),
% 12.18/8.52 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 12.18/8.52 tff(9996,plain,
% 12.18/8.52 (m_state_v_RRM(c_s, s3, c_idle)),
% 12.18/8.52 inference(unit_resolution,[status(thm)],[9995, 3495, 5231, 7021])).
% 12.18/8.52 tff(9997,assumption,(~m_state_v_RRM(c_s, s4, c_idle)), introduced(assumption)).
% 12.18/8.52 tff(9998,assumption,(node158(c_s, s3, s4)), introduced(assumption)).
% 12.18/8.52 tff(9999,assumption,(m_state_v_RRM(c_s, s3, c_idle)), introduced(assumption)).
% 12.18/8.52 tff(10000,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(10001,plain,
% 12.18/8.52 (((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle)) <=> ((~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4)))),
% 12.18/8.52 inference(rewrite,[status(thm)],[])).
% 12.18/8.52 tff(10002,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4))))),
% 12.18/8.52 inference(monotonicity,[status(thm)],[10001])).
% 12.18/8.52 tff(10003,plain,
% 12.18/8.52 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4)))),
% 12.18/8.53 inference(transitivity,[status(thm)],[10002, 10000])).
% 12.18/8.53 tff(10004,plain,
% 12.18/8.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle))),
% 12.18/8.53 inference(quant_inst,[status(thm)],[])).
% 12.18/8.53 tff(10005,plain,
% 12.18/8.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle) | (~node158(c_s, s3, s4))),
% 12.18/8.53 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 12.18/8.53 tff(10006,plain,
% 12.18/8.53 ($false),
% 12.18/8.53 inference(unit_resolution,[status(thm)],[10005, 3495, 9999, 9998, 9997])).
% 12.18/8.53 tff(10007,plain,((~node158(c_s, s3, s4)) | (~m_state_v_RRM(c_s, s3, c_idle)) | m_state_v_RRM(c_s, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.18/8.53 tff(10008,plain,
% 12.18/8.53 (m_state_v_RRM(c_s, s4, c_idle)),
% 12.18/8.53 inference(unit_resolution,[status(thm)],[10007, 9996, 8559])).
% 12.18/8.53 tff(10009,plain,
% 12.18/8.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5)))),
% 12.18/8.53 inference(rewrite,[status(thm)],[])).
% 12.18/8.53 tff(10010,plain,
% 12.18/8.53 (((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle)) <=> (m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5)))),
% 12.18/8.53 inference(rewrite,[status(thm)],[])).
% 12.18/8.53 tff(10011,plain,
% 12.18/8.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5))))),
% 12.18/8.53 inference(monotonicity,[status(thm)],[10010])).
% 12.18/8.53 tff(10012,plain,
% 12.18/8.53 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5)))),
% 12.18/8.53 inference(transitivity,[status(thm)],[10011, 10009])).
% 12.18/8.53 tff(10013,plain,
% 12.18/8.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s4, s5)) | (~m_state_v_RRM(c_s, s4, c_idle)) | m_state_v_RRM(c_s, s5, c_idle))),
% 12.18/8.53 inference(quant_inst,[status(thm)],[])).
% 12.18/8.53 tff(10014,plain,
% 12.18/8.53 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s5, c_idle) | (~m_state_v_RRM(c_s, s4, c_idle)) | (~node158(c_s, s4, s5))),
% 12.18/8.53 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 12.18/8.53 tff(10015,plain,
% 12.18/8.53 (m_state_v_RRM(c_s, s5, c_idle)),
% 12.18/8.53 inference(unit_resolution,[status(thm)],[10014, 3495, 10008, 9795])).
% 12.18/8.53 tff(10016,plain,
% 12.18/8.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10017,plain,
% 12.27/8.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10018,plain,
% 12.27/8.53 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s5, s6)),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 12.27/8.53 tff(10019,plain,
% 12.27/8.53 (node48(c_s, s5, s6)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10018, 62, 6300, 14])).
% 12.27/8.53 tff(10020,plain,
% 12.27/8.53 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10021,plain,
% 12.27/8.53 (((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle))) <=> ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10022,plain,
% 12.27/8.53 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6))))),
% 12.27/8.53 inference(monotonicity,[status(thm)],[10021])).
% 12.27/8.53 tff(10023,plain,
% 12.27/8.53 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6)))),
% 12.27/8.53 inference(transitivity,[status(thm)],[10022, 10020])).
% 12.27/8.53 tff(10024,plain,
% 12.27/8.53 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node48(c_s, s5, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10025,plain,
% 12.27/8.53 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node48(c_s, s5, s6))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 12.27/8.53 tff(10026,plain,
% 12.27/8.53 ((~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s5, c_idle))),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10025, 6314, 10019])).
% 12.27/8.53 tff(10027,plain,
% 12.27/8.53 (m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10026, 10015, 9199])).
% 12.27/8.53 tff(10028,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10029,plain,
% 12.27/8.53 (((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10030,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))))),
% 12.27/8.53 inference(monotonicity,[status(thm)],[10029])).
% 12.27/8.53 tff(10031,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)))),
% 12.27/8.53 inference(transitivity,[status(thm)],[10030, 10028])).
% 12.27/8.53 tff(10032,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10033,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 12.27/8.53 tff(10034,plain,
% 12.27/8.53 (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10033, 6329, 10027])).
% 12.27/8.53 tff(10035,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10036,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10037,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatpress)),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 12.27/8.53 tff(10038,plain,
% 12.27/8.53 (~node38(c_s, s6)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10037, 6346, 10034])).
% 12.27/8.53 tff(10039,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10040,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10041,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 12.27/8.53 tff(10042,plain,
% 12.27/8.53 (~m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10041, 6385, 10027])).
% 12.27/8.53 tff(10043,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10044,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10045,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm1stoppedatpress)),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 12.27/8.53 tff(10046,plain,
% 12.27/8.53 (~node40(c_s, s6)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10045, 6399, 10042])).
% 12.27/8.53 tff(10047,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10048,plain,
% 12.27/8.53 (((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10049,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))))),
% 12.27/8.53 inference(monotonicity,[status(thm)],[10048])).
% 12.27/8.53 tff(10050,plain,
% 12.27/8.53 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)))),
% 12.27/8.53 inference(transitivity,[status(thm)],[10049, 10047])).
% 12.27/8.53 tff(10051,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10052,plain,
% 12.27/8.53 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s6, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10051, 10050])).
% 12.27/8.53 tff(10053,plain,
% 12.27/8.53 (~m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10052, 6357, 10027])).
% 12.27/8.53 tff(10054,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10055,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10056,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s6)) | m_state_v_angle_status(c_s, s6, c_arm2stoppedatbelt)),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10055, 10054])).
% 12.27/8.53 tff(10057,plain,
% 12.27/8.53 (~node39(c_s, s6)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10056, 6374, 10053])).
% 12.27/8.53 tff(10058,plain,
% 12.27/8.53 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))))),
% 12.27/8.53 inference(bind,[status(th)],[])).
% 12.27/8.53 tff(10059,plain,
% 12.27/8.53 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.27/8.53 inference(quant_intro,[status(thm)],[10058])).
% 12.27/8.53 tff(10060,plain,
% 12.27/8.53 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10061,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_172')).
% 12.27/8.53 tff(10062,plain,
% 12.27/8.53 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 12.27/8.53 tff(10063,plain,(
% 12.27/8.53 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.27/8.53 inference(skolemize,[status(sab)],[10062])).
% 12.27/8.53 tff(10064,plain,
% 12.27/8.53 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10063, 10059])).
% 12.27/8.53 tff(10065,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~node157(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~node157(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10066,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~node157(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10067,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~node157(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 12.27/8.53 tff(10068,plain,
% 12.27/8.53 (~node157(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10067, 10064, 9225])).
% 12.27/8.53 tff(10069,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node152(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node152(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10070,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node152(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10071,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node152(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10070, 10069])).
% 12.27/8.53 tff(10072,plain,
% 12.27/8.53 (~node152(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10071, 3420, 9476])).
% 12.27/8.53 tff(10073,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node154(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node154(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10074,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node154(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10075,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node154(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 12.27/8.53 tff(10076,plain,
% 12.27/8.53 (~node154(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10075, 3409, 9838])).
% 12.27/8.53 tff(10077,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node153(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node153(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10078,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node153(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10079,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node153(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10078, 10077])).
% 12.27/8.53 tff(10080,plain,
% 12.27/8.53 (~node153(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10079, 5176, 8639])).
% 12.27/8.53 tff(10081,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s5, c_retract) | (~node150(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s5, c_retract) | (~node150(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10082,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s5, c_retract) | (~node150(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10083,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | m_state_v_A1M(c_s, s5, c_retract) | (~node150(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10082, 10081])).
% 12.27/8.53 tff(10084,plain,
% 12.27/8.53 (~node150(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10083, 3453, 8219])).
% 12.27/8.53 tff(10085,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node156(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node156(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10086,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node156(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10087,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node156(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10086, 10085])).
% 12.27/8.53 tff(10088,plain,
% 12.27/8.53 (~node156(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10087, 3442, 8639])).
% 12.27/8.53 tff(10089,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node151(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node151(c_s, s5)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10090,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node151(c_s, s5)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10091,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node151(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node151(c_s, s5))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 12.27/8.53 tff(10092,plain,
% 12.27/8.53 (~node151(c_s, s5)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10091, 3398, 9838])).
% 12.27/8.53 tff(10093,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10094,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10095,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s3)) | m_state_v_A2M(c_s, s3, c_extend)),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 12.27/8.53 tff(10096,plain,
% 12.27/8.53 (~node33(c_s, s3)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10095, 9605, 9744])).
% 12.27/8.53 tff(10097,plain,
% 12.27/8.53 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.53 tff(10098,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3)))),
% 12.27/8.53 inference(quant_inst,[status(thm)],[])).
% 12.27/8.53 tff(10099,plain,
% 12.27/8.53 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node34(c_s, s3))),
% 12.27/8.53 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 12.27/8.53 tff(10100,plain,
% 12.27/8.53 (~node34(c_s, s3)),
% 12.27/8.53 inference(unit_resolution,[status(thm)],[10099, 9616, 9744])).
% 12.27/8.53 tff(10101,plain,
% 12.27/8.53 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))),
% 12.27/8.53 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10102,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10103,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s3, s4)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10102, 10101])).
% 12.27/8.54 tff(10104,plain,
% 12.27/8.54 (node36(c_s, s3, s4)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10103, 62, 3579, 911])).
% 12.27/8.54 tff(10105,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10106,plain,
% 12.27/8.54 ((m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4))) <=> (node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10107,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4)))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10106])).
% 12.27/8.54 tff(10108,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10107, 10105])).
% 12.27/8.54 tff(10109,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s3, c_retract) | node34(c_s, s3) | node33(c_s, s3) | node35(c_s, s3, s4) | (~node36(c_s, s3, s4)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10110,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s3) | (~node36(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 12.27/8.54 tff(10111,plain,
% 12.27/8.54 (node34(c_s, s3) | m_state_v_A2M(c_s, s3, c_retract) | node33(c_s, s3) | node35(c_s, s3, s4)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10110, 3629, 10104])).
% 12.27/8.54 tff(10112,plain,
% 12.27/8.54 (node35(c_s, s3, s4)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10111, 10100, 8541, 10096])).
% 12.27/8.54 tff(10113,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10114,plain,
% 12.27/8.54 (((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_ob) | (~m_state_v_a2ext(c_s, s4, c_ob))) <=> (m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10115,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_ob) | (~m_state_v_a2ext(c_s, s4, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob))))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10114])).
% 12.27/8.54 tff(10116,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_ob) | (~m_state_v_a2ext(c_s, s4, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob)))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10115, 10113])).
% 12.27/8.54 tff(10117,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_ob) | (~m_state_v_a2ext(c_s, s4, c_ob)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10118,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_ob) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_ob))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 12.27/8.54 tff(10119,plain,
% 12.27/8.54 (~m_state_v_a2ext(c_s, s4, c_ob)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10118, 5294, 10112, 9639])).
% 12.27/8.54 tff(10120,plain,
% 12.27/8.54 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10121,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10122,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node147(c_s, s4))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 12.27/8.54 tff(10123,plain,
% 12.27/8.54 (~node147(c_s, s4)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10122, 5444, 10119])).
% 12.27/8.54 tff(10124,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10125,plain,
% 12.27/8.54 (((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip))) <=> (m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10126,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip))))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10125])).
% 12.27/8.54 tff(10127,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10126, 10124])).
% 12.27/8.54 tff(10128,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s3, s4)) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~m_state_v_a2ext(c_s, s4, c_a2ip)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10129,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s3, c_a2ip) | (~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s4, c_a2ip))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 12.27/8.54 tff(10130,plain,
% 12.27/8.54 (~m_state_v_a2ext(c_s, s4, c_a2ip)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10129, 5294, 10112, 9669])).
% 12.27/8.54 tff(10131,plain,
% 12.27/8.54 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10132,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10133,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node146(c_s, s4))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 12.27/8.54 tff(10134,plain,
% 12.27/8.54 (~node146(c_s, s4)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10133, 5455, 10130])).
% 12.27/8.54 tff(10135,plain,
% 12.27/8.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10136,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10137,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s4, s5)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 12.27/8.54 tff(10138,plain,
% 12.27/8.54 (node149(c_s, s4, s5)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10137, 2729, 3295, 1043])).
% 12.27/8.54 tff(10139,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10140,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10141,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5) | (~node149(c_s, s4, s5))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 12.27/8.54 tff(10142,plain,
% 12.27/8.54 (node146(c_s, s4) | node147(c_s, s4) | node148(c_s, s4, s5)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10141, 3331, 10138])).
% 12.27/8.54 tff(10143,plain,
% 12.27/8.54 (node148(c_s, s4, s5)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10142, 10134, 10123])).
% 12.27/8.54 tff(10144,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10145,plain,
% 12.27/8.54 (((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on))) <=> (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10146,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5))))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10145])).
% 12.27/8.54 tff(10147,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5)))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10146, 10144])).
% 12.27/8.54 tff(10148,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s4, s5)) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10149,plain,
% 12.27/8.54 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s4, c_on) | (~m_state_v_A2Mag(c_s, s5, c_on)) | (~node148(c_s, s4, s5))),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 12.27/8.54 tff(10150,plain,
% 12.27/8.54 (~m_state_v_A2Mag(c_s, s5, c_on)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10149, 5430, 9775, 10143])).
% 12.27/8.54 tff(10151,plain,
% 12.27/8.54 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10152,plain,
% 12.27/8.54 ((m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5))) <=> ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10153,plain,
% 12.27/8.54 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | ((~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10152])).
% 12.27/8.54 tff(10154,plain,
% 12.27/8.54 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10153, 10151])).
% 12.27/8.54 tff(10155,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node155(c_s, s5)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10156,plain,
% 12.27/8.54 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (~node155(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10155, 10154])).
% 12.27/8.54 tff(10157,plain,
% 12.27/8.54 (~node155(c_s, s5)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10156, 6922, 10150])).
% 12.27/8.54 tff(10158,plain,
% 12.27/8.54 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10159,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10160,plain,
% 12.27/8.54 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s5, s6)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 12.27/8.54 tff(10161,plain,
% 12.27/8.54 (node159(c_s, s5, s6)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10160, 2729, 3365, 14])).
% 12.27/8.54 tff(10162,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10163,plain,
% 12.27/8.54 ((node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6))) <=> (node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10164,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6)))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10163])).
% 12.27/8.54 tff(10165,plain,
% 12.27/8.54 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6))),
% 12.27/8.54 inference(transitivity,[status(thm)],[10164, 10162])).
% 12.27/8.54 tff(10166,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node153(c_s, s5) | node154(c_s, s5) | node155(c_s, s5) | node156(c_s, s5) | node157(c_s, s5) | node158(c_s, s5, s6) | (~node159(c_s, s5, s6)))),
% 12.27/8.54 inference(quant_inst,[status(thm)],[])).
% 12.27/8.54 tff(10167,plain,
% 12.27/8.54 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | (~node159(c_s, s5, s6)) | node158(c_s, s5, s6)),
% 12.27/8.54 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 12.27/8.54 tff(10168,plain,
% 12.27/8.54 (node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node155(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node158(c_s, s5, s6)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10167, 3478, 10161])).
% 12.27/8.54 tff(10169,plain,
% 12.27/8.54 (node157(c_s, s5) | node150(c_s, s5) | node156(c_s, s5) | node154(c_s, s5) | node153(c_s, s5) | node151(c_s, s5) | node152(c_s, s5) | node158(c_s, s5, s6)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10168, 10157])).
% 12.27/8.54 tff(10170,plain,
% 12.27/8.54 (node158(c_s, s5, s6)),
% 12.27/8.54 inference(unit_resolution,[status(thm)],[10169, 10092, 10088, 10084, 10080, 10076, 10072, 10068])).
% 12.27/8.54 tff(10171,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10172,plain,
% 12.27/8.54 (((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock))) <=> (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 12.27/8.54 inference(rewrite,[status(thm)],[])).
% 12.27/8.54 tff(10173,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6))))),
% 12.27/8.54 inference(monotonicity,[status(thm)],[10172])).
% 12.27/8.54 tff(10174,plain,
% 12.27/8.54 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6)))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10173, 10171])).
% 12.27/8.55 tff(10175,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10176,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_counterclock) | (~m_state_v_RRM(c_s, s6, c_counterclock)) | (~node158(c_s, s5, s6))),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 12.27/8.55 tff(10177,plain,
% 12.27/8.55 (~m_state_v_RRM(c_s, s6, c_counterclock)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10176, 5151, 9802, 10170])).
% 12.27/8.55 tff(10178,plain,
% 12.27/8.55 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10179,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10180,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s6)) | m_state_v_RRM(c_s, s6, c_counterclock)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 12.27/8.55 tff(10181,plain,
% 12.27/8.55 (~node37(c_s, s6)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10180, 2461, 10177])).
% 12.27/8.55 tff(10182,plain,
% 12.27/8.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10183,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10184,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s6, s7)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 12.27/8.55 tff(10185,plain,
% 12.27/8.55 (node42(c_s, s6, s7)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10184, 62, 2427, 2095])).
% 12.27/8.55 tff(10186,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10187,plain,
% 12.27/8.55 ((node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7))) <=> (node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10188,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7)))),
% 12.27/8.55 inference(monotonicity,[status(thm)],[10187])).
% 12.27/8.55 tff(10189,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10188, 10186])).
% 12.27/8.55 tff(10190,plain,
% 12.27/8.55 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node40(c_s, s6) | node41(c_s, s6, s7) | (~node42(c_s, s6, s7)))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10191,plain,
% 12.27/8.55 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | (~node42(c_s, s6, s7)) | node41(c_s, s6, s7)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 12.27/8.55 tff(10192,plain,
% 12.27/8.55 (node37(c_s, s6) | node40(c_s, s6) | node38(c_s, s6) | node39(c_s, s6) | node41(c_s, s6, s7)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10191, 2550, 10185])).
% 12.27/8.55 tff(10193,plain,
% 12.27/8.55 (node41(c_s, s6, s7)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10192, 10181, 10057, 10046, 10038])).
% 12.27/8.55 tff(10194,assumption,(m_state_v_angle(c_s, s5, c_arm1totable)), introduced(assumption)).
% 12.27/8.55 tff(10195,assumption,(~m_state_v_angle(c_s, s6, c_arm1totable)), introduced(assumption)).
% 12.27/8.55 tff(10196,assumption,(node41(c_s, s5, s6)), introduced(assumption)).
% 12.27/8.55 tff(10197,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10198,plain,
% 12.27/8.55 (((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable)) <=> (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10199,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6))))),
% 12.27/8.55 inference(monotonicity,[status(thm)],[10198])).
% 12.27/8.55 tff(10200,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6)))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10199, 10197])).
% 12.27/8.55 tff(10201,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | m_state_v_angle(c_s, s6, c_arm1totable))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10202,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable)) | (~node41(c_s, s5, s6))),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 12.27/8.55 tff(10203,plain,
% 12.27/8.55 ($false),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10202, 2666, 10196, 10195, 10194])).
% 12.27/8.55 tff(10204,plain,((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s6, c_arm1totable) | (~m_state_v_angle(c_s, s5, c_arm1totable))), inference(lemma,lemma(discharge,[]))).
% 12.27/8.55 tff(10205,plain,
% 12.27/8.55 (m_state_v_angle(c_s, s6, c_arm1totable)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10204, 9854, 9199])).
% 12.27/8.55 tff(10206,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10207,plain,
% 12.27/8.55 (((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable)) <=> (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10208,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7))))),
% 12.27/8.55 inference(monotonicity,[status(thm)],[10207])).
% 12.27/8.55 tff(10209,plain,
% 12.27/8.55 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7)))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10208, 10206])).
% 12.27/8.55 tff(10210,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s6, s7)) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | m_state_v_angle(c_s, s7, c_arm1totable))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10211,plain,
% 12.27/8.55 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | m_state_v_angle(c_s, s7, c_arm1totable) | (~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node41(c_s, s6, s7))),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10210, 10209])).
% 12.27/8.55 tff(10212,plain,
% 12.27/8.55 (m_state_v_angle(c_s, s7, c_arm1totable)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10211, 2666, 10205, 10193])).
% 12.27/8.55 tff(10213,plain,
% 12.27/8.55 (((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))) <=> ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10214,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | ((~node30(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10215,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : ((~node30(J0, X)) | m_state_v_angle(J0, X, c_arm1topress))) | (~node30(c_s, s6)) | m_state_v_angle(c_s, s6, c_arm1topress)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 12.27/8.55 tff(10216,plain,
% 12.27/8.55 (~node30(c_s, s6)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10215, 2584, 9861])).
% 12.27/8.55 tff(10217,plain,
% 12.27/8.55 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10218,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6)))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10219,plain,
% 12.27/8.55 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node29(c_s, s6))),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 12.27/8.55 tff(10220,plain,
% 12.27/8.55 (~node29(c_s, s6)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10219, 2628, 9877])).
% 12.27/8.55 tff(10221,plain,
% 12.27/8.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10222,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10223,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s6, s7)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 12.27/8.55 tff(10224,plain,
% 12.27/8.55 (node32(c_s, s6, s7)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10223, 62, 2598, 2095])).
% 12.27/8.55 tff(10225,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10226,plain,
% 12.27/8.55 (((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted)) <=> (m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10227,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7))))),
% 12.27/8.55 inference(monotonicity,[status(thm)],[10226])).
% 12.27/8.55 tff(10228,plain,
% 12.27/8.55 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7)))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10227, 10225])).
% 12.27/8.55 tff(10229,plain,
% 12.27/8.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s6, c_retract)) | node29(c_s, s6) | node30(c_s, s6) | (~node32(c_s, s6, s7)) | m_state_v_a1ext(c_s, s7, c_retracted))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10230,plain,
% 12.27/8.55 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract)) | (~node32(c_s, s6, s7))),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 12.27/8.55 tff(10231,plain,
% 12.27/8.55 (m_state_v_a1ext(c_s, s7, c_retracted) | node29(c_s, s6) | node30(c_s, s6) | (~m_state_v_A1M(c_s, s6, c_retract))),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10230, 2612, 10224])).
% 12.27/8.55 tff(10232,plain,
% 12.27/8.55 (m_state_v_a1ext(c_s, s7, c_retracted)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10231, 10220, 9437, 10216])).
% 12.27/8.55 tff(10233,plain,
% 12.27/8.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10234,plain,
% 12.27/8.55 ((node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8))) <=> ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10235,plain,
% 12.27/8.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | ((~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8)))),
% 12.27/8.55 inference(monotonicity,[status(thm)],[10234])).
% 12.27/8.55 tff(10236,plain,
% 12.27/8.55 (((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8))),
% 12.27/8.55 inference(transitivity,[status(thm)],[10235, 10233])).
% 12.27/8.55 tff(10237,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (node4(c_s, s7, s8) | (~m_Communication_v_s(c_COM, c_s)) | (~trans(s7, s8)))),
% 12.27/8.55 inference(quant_inst,[status(thm)],[])).
% 12.27/8.55 tff(10238,plain,
% 12.27/8.55 ((~![Y: $i, I0: $i, X: $i, J0: $i] : (node4(J0, X, Y) | (~m_Communication_v_s(I0, J0)) | (~trans(X, Y)))) | (~trans(s7, s8)) | (~m_Communication_v_s(c_COM, c_s)) | node4(c_s, s7, s8)),
% 12.27/8.55 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 12.27/8.55 tff(10239,plain,
% 12.27/8.55 (node4(c_s, s7, s8)),
% 12.27/8.55 inference(unit_resolution,[status(thm)],[10238, 1360, 1357, 4830])).
% 12.27/8.55 tff(10240,plain,
% 12.27/8.55 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))),
% 12.27/8.55 inference(bind,[status(th)],[])).
% 12.27/8.55 tff(10241,plain,
% 12.27/8.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.55 inference(quant_intro,[status(thm)],[10240])).
% 12.27/8.55 tff(10242,plain,
% 12.27/8.55 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.55 inference(rewrite,[status(thm)],[])).
% 12.27/8.55 tff(10243,plain,
% 12.27/8.55 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_tl(J0, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_tl(J0, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> (((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~node4(J0, X, Y))))), rewrite((((~m_state_v_tl(J0, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~node4(J0, X, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))))),
% 12.27/8.55 inference(bind,[status(th)],[])).
% 12.27/8.56 tff(10244,plain,
% 12.27/8.56 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.56 inference(quant_intro,[status(thm)],[10243])).
% 12.27/8.56 tff(10245,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_tl(J0, Y))) | (~node4(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Communication_9')).
% 12.27/8.56 tff(10246,plain,
% 12.27/8.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 12.27/8.56 tff(10247,plain,
% 12.27/8.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10246, 10242])).
% 12.27/8.56 tff(10248,plain,(
% 12.27/8.56 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.56 inference(skolemize,[status(sab)],[10247])).
% 12.27/8.56 tff(10249,plain,
% 12.27/8.56 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10248, 10241])).
% 12.27/8.56 tff(10250,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10251,plain,
% 12.27/8.56 (((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10252,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8))))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10251])).
% 12.27/8.56 tff(10253,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10252, 10250])).
% 12.27/8.56 tff(10254,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | ((~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10255,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_tl(J0, Y)) | (~node4(J0, X, Y)) | (~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8)) | (~node4(c_s, s7, s8))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 12.27/8.56 tff(10256,plain,
% 12.27/8.56 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_tl(c_s, s8))),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10255, 10249, 10239])).
% 12.27/8.56 tff(10257,plain,
% 12.27/8.56 ((~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_tl(c_s, s8))),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10256, 10232, 10212])).
% 12.27/8.56 tff(10258,plain,
% 12.27/8.56 (~m_state_v_tl(c_s, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10257, 9989])).
% 12.27/8.56 tff(10259,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10260,plain,
% 12.27/8.56 (((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up))) <=> (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10261,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | (m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8))))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10260])).
% 12.27/8.56 tff(10262,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8)))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10261, 10259])).
% 12.27/8.56 tff(10263,plain,
% 12.27/8.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | ((~node174(c_s, s7, s8)) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10264,plain,
% 12.27/8.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node174(J0, X, Y)) | m_state_v_TEM(J0, X, V) | (~m_state_v_TEM(J0, Y, V)))) | m_state_v_TEM(c_s, s7, c_up) | (~m_state_v_TEM(c_s, s8, c_up)) | (~node174(c_s, s7, s8))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 12.27/8.56 tff(10265,plain,
% 12.27/8.56 (~m_state_v_TEM(c_s, s8, c_up)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10264, 6115, 8275, 9125])).
% 12.27/8.56 tff(10266,plain,
% 12.27/8.56 (((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10267,plain,
% 12.27/8.56 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | (m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10268,plain,
% 12.27/8.56 ((~![X: $i, J0: $i] : (m_state_v_TEM(J0, X, c_up) | (~node171(J0, X)))) | m_state_v_TEM(c_s, s8, c_up) | (~node171(c_s, s8))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10267, 10266])).
% 12.27/8.56 tff(10269,plain,
% 12.27/8.56 (~node171(c_s, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10268, 6173, 10265])).
% 12.27/8.56 tff(10270,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10271,plain,
% 12.27/8.56 (((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise))) <=> (m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10272,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7))))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10271])).
% 12.27/8.56 tff(10273,plain,
% 12.27/8.56 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7)))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10272, 10270])).
% 12.27/8.56 tff(10274,plain,
% 12.27/8.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | ((~node168(c_s, s6, s7)) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10275,plain,
% 12.27/8.56 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node168(J0, X, Y)) | m_state_v_TRM(J0, X, V) | (~m_state_v_TRM(J0, Y, V)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | (~m_state_v_TRM(c_s, s7, c_counterclockwise)) | (~node168(c_s, s6, s7))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 12.27/8.56 tff(10276,plain,
% 12.27/8.56 (~m_state_v_TRM(c_s, s7, c_counterclockwise)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10275, 4184, 8830, 8812])).
% 12.27/8.56 tff(10277,plain,
% 12.27/8.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10278,plain,
% 12.27/8.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10279,plain,
% 12.27/8.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node26(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node26(c_s, s7, s8)),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 12.27/8.56 tff(10280,plain,
% 12.27/8.56 (node26(c_s, s7, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10279, 62, 4201, 4830])).
% 12.27/8.56 tff(10281,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10282,plain,
% 12.27/8.56 ((node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise)) <=> (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10283,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8)))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10282])).
% 12.27/8.56 tff(10284,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))) <=> ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10283, 10281])).
% 12.27/8.56 tff(10285,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | (node25(c_s, s7, s8) | (~node26(c_s, s7, s8)) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10286,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (node25(J0, X, Y) | (~node26(J0, X, Y)) | m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise))) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node26(c_s, s7, s8)) | node25(c_s, s7, s8)),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 12.27/8.56 tff(10287,plain,
% 12.27/8.56 (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node25(c_s, s7, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10286, 4304, 10280])).
% 12.27/8.56 tff(10288,plain,
% 12.27/8.56 (node25(c_s, s7, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10287, 10276, 8819])).
% 12.27/8.56 tff(10289,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10290,plain,
% 12.27/8.56 ((m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8))) <=> ((~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10291,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | ((~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8))))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10290])).
% 12.27/8.56 tff(10292,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10291, 10289])).
% 12.27/8.56 tff(10293,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8)) | (~m_state_v_minRot(c_s, s8)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10294,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node25(J0, X, Y)) | (~m_state_v_minRot(J0, Y)))) | (~m_state_v_minRot(c_s, s8)) | m_state_v_minRot(c_s, s7) | (~node25(c_s, s7, s8))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 12.27/8.56 tff(10295,plain,
% 12.27/8.56 (~m_state_v_minRot(c_s, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10294, 4322, 10288, 8849])).
% 12.27/8.56 tff(10296,plain,
% 12.27/8.56 (((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s8) | (~node170(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s8) | (~node170(c_s, s8)))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10297,plain,
% 12.27/8.56 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | (m_state_v_minRot(c_s, s8) | (~node170(c_s, s8)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10298,plain,
% 12.27/8.56 ((~![X: $i, J0: $i] : (m_state_v_minRot(J0, X) | (~node170(J0, X)))) | m_state_v_minRot(c_s, s8) | (~node170(c_s, s8))),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 12.27/8.56 tff(10299,plain,
% 12.27/8.56 (~node170(c_s, s8)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10298, 6184, 10295])).
% 12.27/8.56 tff(10300,plain,
% 12.27/8.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10301,plain,
% 12.27/8.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10302,plain,
% 12.27/8.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s6, s7)),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 12.27/8.56 tff(10303,plain,
% 12.27/8.56 (node28(c_s, s6, s7)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10302, 62, 3968, 2095])).
% 12.27/8.56 tff(10304,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10305,plain,
% 12.27/8.56 ((m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7))) <=> (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10306,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7)))),
% 12.27/8.56 inference(monotonicity,[status(thm)],[10305])).
% 12.27/8.56 tff(10307,plain,
% 12.27/8.56 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7))),
% 12.27/8.56 inference(transitivity,[status(thm)],[10306, 10304])).
% 12.27/8.56 tff(10308,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7) | (~node28(c_s, s6, s7)))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10309,plain,
% 12.27/8.56 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | (~node28(c_s, s6, s7)) | node27(c_s, s6, s7)),
% 12.27/8.56 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 12.27/8.56 tff(10310,plain,
% 12.27/8.56 (m_state_v_TRM(c_s, s6, c_counterclockwise) | m_state_v_TRM(c_s, s6, c_clockwise) | node27(c_s, s6, s7)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10309, 4004, 10303])).
% 12.27/8.56 tff(10311,plain,
% 12.27/8.56 (node27(c_s, s6, s7)),
% 12.27/8.56 inference(unit_resolution,[status(thm)],[10310, 8793, 8830])).
% 12.27/8.56 tff(10312,plain,
% 12.27/8.56 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))),
% 12.27/8.56 inference(rewrite,[status(thm)],[])).
% 12.27/8.56 tff(10313,plain,
% 12.27/8.56 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5))),
% 12.27/8.56 inference(quant_inst,[status(thm)],[])).
% 12.27/8.56 tff(10314,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s4, s5)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 12.27/8.57 tff(10315,plain,
% 12.27/8.57 (node28(c_s, s4, s5)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10314, 62, 3968, 1043])).
% 12.27/8.57 tff(10316,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10317,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5)))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10318,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5) | (~node28(c_s, s4, s5))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10317, 10316])).
% 12.27/8.57 tff(10319,plain,
% 12.27/8.57 (m_state_v_TRM(c_s, s4, c_counterclockwise) | m_state_v_TRM(c_s, s4, c_clockwise) | node27(c_s, s4, s5)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10318, 4004, 10315])).
% 12.27/8.57 tff(10320,plain,
% 12.27/8.57 (node27(c_s, s4, s5)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10319, 4697, 4690])).
% 12.27/8.57 tff(10321,plain,
% 12.27/8.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10322,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10323,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s3, s4)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 12.27/8.57 tff(10324,plain,
% 12.27/8.57 (node28(c_s, s3, s4)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10323, 62, 3968, 911])).
% 12.27/8.57 tff(10325,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10326,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4)))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10327,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4) | (~node28(c_s, s3, s4))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 12.27/8.57 tff(10328,plain,
% 12.27/8.57 (m_state_v_TRM(c_s, s3, c_counterclockwise) | m_state_v_TRM(c_s, s3, c_clockwise) | node27(c_s, s3, s4)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10327, 4004, 10324])).
% 12.27/8.57 tff(10329,plain,
% 12.27/8.57 (node27(c_s, s3, s4)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10328, 4290, 4286])).
% 12.27/8.57 tff(10330,plain,
% 12.27/8.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10331,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10332,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s2, s3)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 12.27/8.57 tff(10333,plain,
% 12.27/8.57 (node28(c_s, s2, s3)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10332, 62, 3968, 480])).
% 12.27/8.57 tff(10334,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10335,plain,
% 12.27/8.57 (((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3))) <=> (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10336,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10335])).
% 12.27/8.57 tff(10337,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10336, 10334])).
% 12.27/8.57 tff(10338,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | ((~m_state_v_TRM(c_s, s2, c_clockwise)) | m_state_v_maxRot(c_s, s3) | (~node28(c_s, s2, s3)))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10339,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_TRM(J0, X, c_clockwise)) | m_state_v_maxRot(J0, Y) | (~node28(J0, X, Y)))) | m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise)) | (~node28(c_s, s2, s3))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 12.27/8.57 tff(10340,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s3) | (~m_state_v_TRM(c_s, s2, c_clockwise))),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10339, 4248, 10333])).
% 12.27/8.57 tff(10341,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s3)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10340, 4174])).
% 12.27/8.57 tff(10342,plain,
% 12.27/8.57 (^[Y: $i, X: $i, J0: $i] : refl(((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)))),
% 12.27/8.57 inference(bind,[status(th)],[])).
% 12.27/8.57 tff(10343,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(quant_intro,[status(thm)],[10342])).
% 12.27/8.57 tff(10344,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10345,plain,
% 12.27/8.57 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(rewrite((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))), (((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> (((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) | (~node27(J0, X, Y))))), rewrite((((~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y)) | (~node27(J0, X, Y))) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))), (((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))))),
% 12.27/8.57 inference(bind,[status(th)],[])).
% 12.27/8.57 tff(10346,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(quant_intro,[status(thm)],[10345])).
% 12.27/8.57 tff(10347,axiom,(![Y: $i, X: $i, J0: $i] : ((m_state_v_maxRot(J0, Y) | (~m_state_v_maxRot(J0, X))) | (~node27(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_30')).
% 12.27/8.57 tff(10348,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 12.27/8.57 tff(10349,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10348, 10344])).
% 12.27/8.57 tff(10350,plain,(
% 12.27/8.57 ![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(skolemize,[status(sab)],[10349])).
% 12.27/8.57 tff(10351,plain,
% 12.27/8.57 (![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10350, 10343])).
% 12.27/8.57 tff(10352,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10353,plain,
% 12.27/8.57 (((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4)) <=> ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10354,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10353])).
% 12.27/8.57 tff(10355,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10354, 10352])).
% 12.27/8.57 tff(10356,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s3, s4)) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10357,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s3)) | m_state_v_maxRot(c_s, s4) | (~node27(c_s, s3, s4))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 12.27/8.57 tff(10358,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s4)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10357, 10351, 10341, 10329])).
% 12.27/8.57 tff(10359,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10360,plain,
% 12.27/8.57 (((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5)) <=> ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10361,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10360])).
% 12.27/8.57 tff(10362,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10361, 10359])).
% 12.27/8.57 tff(10363,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s4, s5)) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10364,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s4)) | m_state_v_maxRot(c_s, s5) | (~node27(c_s, s4, s5))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 12.27/8.57 tff(10365,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s5)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10364, 10351, 10358, 10320])).
% 12.27/8.57 tff(10366,plain,
% 12.27/8.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10367,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10368,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s5, s6)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 12.27/8.57 tff(10369,plain,
% 12.27/8.57 (node28(c_s, s5, s6)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10368, 62, 3968, 14])).
% 12.27/8.57 tff(10370,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10371,plain,
% 12.27/8.57 ((m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6))) <=> (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10372,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6)))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10371])).
% 12.27/8.57 tff(10373,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10372, 10370])).
% 12.27/8.57 tff(10374,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6) | (~node28(c_s, s5, s6)))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10375,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | (~node28(c_s, s5, s6)) | node27(c_s, s5, s6)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 12.27/8.57 tff(10376,plain,
% 12.27/8.57 (m_state_v_TRM(c_s, s5, c_counterclockwise) | m_state_v_TRM(c_s, s5, c_clockwise) | node27(c_s, s5, s6)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10375, 4004, 10369])).
% 12.27/8.57 tff(10377,plain,
% 12.27/8.57 (node27(c_s, s5, s6)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10376, 5740, 5733])).
% 12.27/8.57 tff(10378,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10379,plain,
% 12.27/8.57 (((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6)) <=> (m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10380,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10379])).
% 12.27/8.57 tff(10381,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10380, 10378])).
% 12.27/8.57 tff(10382,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5)) | m_state_v_maxRot(c_s, s6))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10383,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s6) | (~node27(c_s, s5, s6)) | (~m_state_v_maxRot(c_s, s5))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 12.27/8.57 tff(10384,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s6)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10383, 10351, 10377, 10365])).
% 12.27/8.57 tff(10385,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10386,plain,
% 12.27/8.57 (((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7)) <=> ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10387,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10386])).
% 12.27/8.57 tff(10388,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10387, 10385])).
% 12.27/8.57 tff(10389,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s6, s7)) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10390,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (~m_state_v_maxRot(c_s, s6)) | m_state_v_maxRot(c_s, s7) | (~node27(c_s, s6, s7))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 12.27/8.57 tff(10391,plain,
% 12.27/8.57 (m_state_v_maxRot(c_s, s7)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10390, 10351, 10384, 10311])).
% 12.27/8.57 tff(10392,plain,
% 12.27/8.57 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10393,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10394,plain,
% 12.27/8.57 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node28(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node28(c_s, s7, s8)),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 12.27/8.57 tff(10395,plain,
% 12.27/8.57 (node28(c_s, s7, s8)),
% 12.27/8.57 inference(unit_resolution,[status(thm)],[10394, 62, 3968, 4830])).
% 12.27/8.57 tff(10396,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10397,plain,
% 12.27/8.57 ((m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8))) <=> (node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8)))),
% 12.27/8.57 inference(rewrite,[status(thm)],[])).
% 12.27/8.57 tff(10398,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8))))),
% 12.27/8.57 inference(monotonicity,[status(thm)],[10397])).
% 12.27/8.57 tff(10399,plain,
% 12.27/8.57 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8)))),
% 12.27/8.57 inference(transitivity,[status(thm)],[10398, 10396])).
% 12.27/8.57 tff(10400,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | (m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | node27(c_s, s7, s8) | (~node28(c_s, s7, s8)))),
% 12.27/8.57 inference(quant_inst,[status(thm)],[])).
% 12.27/8.57 tff(10401,plain,
% 12.27/8.57 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_TRM(J0, X, c_counterclockwise) | m_state_v_TRM(J0, X, c_clockwise) | node27(J0, X, Y) | (~node28(J0, X, Y)))) | node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise) | (~node28(c_s, s7, s8))),
% 12.27/8.57 inference(modus_ponens,[status(thm)],[10400, 10399])).
% 12.27/8.57 tff(10402,plain,
% 12.27/8.57 (node27(c_s, s7, s8) | m_state_v_TRM(c_s, s7, c_counterclockwise) | m_state_v_TRM(c_s, s7, c_clockwise)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10401, 4004, 10395])).
% 12.27/8.58 tff(10403,plain,
% 12.27/8.58 (node27(c_s, s7, s8)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10402, 10276, 8819])).
% 12.27/8.58 tff(10404,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10405,plain,
% 12.27/8.58 (((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8)) <=> (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10406,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | (m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8))))),
% 12.27/8.58 inference(monotonicity,[status(thm)],[10405])).
% 12.27/8.58 tff(10407,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8)))),
% 12.27/8.58 inference(transitivity,[status(thm)],[10406, 10404])).
% 12.27/8.58 tff(10408,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | ((~node27(c_s, s7, s8)) | (~m_state_v_maxRot(c_s, s7)) | m_state_v_maxRot(c_s, s8))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10409,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : ((~node27(J0, X, Y)) | (~m_state_v_maxRot(J0, X)) | m_state_v_maxRot(J0, Y))) | m_state_v_maxRot(c_s, s8) | (~m_state_v_maxRot(c_s, s7)) | (~node27(c_s, s7, s8))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 12.27/8.58 tff(10410,plain,
% 12.27/8.58 (m_state_v_maxRot(c_s, s8)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10409, 10351, 10403, 10391])).
% 12.27/8.58 tff(10411,plain,
% 12.27/8.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10412,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | ((~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10413,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_ERTable_v_s(I0, J0)) | node175(J0, X, Y))) | (~trans(s8, s9)) | (~m_ERTable_v_s(c_ERT, c_s)) | node175(c_s, s8, s9)),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 12.27/8.58 tff(10414,plain,
% 12.27/8.58 (node175(c_s, s8, s9)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10413, 1505, 1502, 4962])).
% 12.27/8.58 tff(10415,plain,
% 12.27/8.58 (^[Y: $i, X: $i, J0: $i] : refl((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)))),
% 12.27/8.58 inference(bind,[status(th)],[])).
% 12.27/8.58 tff(10416,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(quant_intro,[status(thm)],[10415])).
% 12.27/8.58 tff(10417,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down)) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10418,plain,
% 12.27/8.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> (((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_maxRot(J0, X))))), rewrite((((~m_state_v_topPos(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X))), ((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)))), (((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | node171(J0, X)) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), (((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), ((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | (~m_state_v_TRM(J0, X, c_idle))))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), ((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) <=> ((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), (((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_tl(J0, X)))), rewrite((((~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X))), (((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)))), ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_TEM(J0, Y, c_down)))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down))), ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)))), (((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> ((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))))), rewrite(((m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))), (((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))))),
% 12.27/8.58 inference(bind,[status(th)],[])).
% 12.27/8.58 tff(10419,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(quant_intro,[status(thm)],[10418])).
% 12.27/8.58 tff(10420,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((node170(J0, X) | node171(J0, X)) | (~m_state_v_topPos(J0, X))) | (~m_state_v_maxRot(J0, X))) | (~m_state_v_TEM(J0, X, c_idle))) | (~m_state_v_TRM(J0, X, c_idle))) | m_state_v_tl(J0, X)) | m_state_v_TEM(J0, Y, c_down)) | (~node175(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_ERTable_41')).
% 12.27/8.58 tff(10421,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 12.27/8.58 tff(10422,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10421, 10417])).
% 12.27/8.58 tff(10423,plain,(
% 12.27/8.58 ![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(skolemize,[status(sab)],[10422])).
% 12.27/8.58 tff(10424,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10423, 10416])).
% 12.27/8.58 tff(10425,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10426,plain,
% 12.27/8.58 ((m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down)) <=> ((~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10427,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | ((~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9))))),
% 12.27/8.58 inference(monotonicity,[status(thm)],[10426])).
% 12.27/8.58 tff(10428,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9)))),
% 12.27/8.58 inference(transitivity,[status(thm)],[10427, 10425])).
% 12.27/8.58 tff(10429,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_maxRot(c_s, s8)) | node170(c_s, s8) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | node171(c_s, s8) | (~node175(c_s, s8, s9)) | m_state_v_TEM(c_s, s9, c_down))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10430,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_tl(J0, X) | (~m_state_v_topPos(J0, X)) | (~m_state_v_maxRot(J0, X)) | node170(J0, X) | (~m_state_v_TRM(J0, X, c_idle)) | (~m_state_v_TEM(J0, X, c_idle)) | node171(J0, X) | (~node175(J0, X, Y)) | m_state_v_TEM(J0, Y, c_down))) | (~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8) | (~node175(c_s, s8, s9))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 12.27/8.58 tff(10431,plain,
% 12.27/8.58 ((~m_state_v_maxRot(c_s, s8)) | m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node170(c_s, s8) | node171(c_s, s8)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10430, 10424, 10414])).
% 12.27/8.58 tff(10432,plain,
% 12.27/8.58 (m_state_v_tl(c_s, s8) | (~m_state_v_topPos(c_s, s8)) | (~m_state_v_TRM(c_s, s8, c_idle)) | (~m_state_v_TEM(c_s, s8, c_idle)) | m_state_v_TEM(c_s, s9, c_down) | node171(c_s, s8)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10431, 10410, 10299])).
% 12.27/8.58 tff(10433,plain,
% 12.27/8.58 (m_state_v_TEM(c_s, s9, c_down)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10432, 10269, 10258, 9165, 9077, 8301])).
% 12.27/8.58 tff(10434,plain,
% 12.27/8.58 (((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10435,plain,
% 12.27/8.58 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | ((~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up)))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10436,plain,
% 12.27/8.58 ((~![I0: $i, X: $i] : ((~m_state_v_TEM(I0, X, c_down)) | (~m_state_v_TEM(I0, X, c_up)))) | (~m_state_v_TEM(c_s, s9, c_down)) | (~m_state_v_TEM(c_s, s9, c_up))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 12.27/8.58 tff(10437,plain,
% 12.27/8.58 (~m_state_v_TEM(c_s, s9, c_up)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10436, 1572, 10433])).
% 12.27/8.58 tff(10438,plain,
% 12.27/8.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))))),
% 12.27/8.58 inference(bind,[status(th)],[])).
% 12.27/8.58 tff(10439,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(quant_intro,[status(thm)],[10438])).
% 12.27/8.58 tff(10440,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10441,plain,
% 12.27/8.58 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) <=> (m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))))), rewrite(((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) <=> ((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))))), ((((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> (((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~node22(J0, X, Y))))), rewrite((((~m_state_v_topPos(J0, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~node22(J0, X, Y))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))), ((((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))))),
% 12.27/8.58 inference(bind,[status(th)],[])).
% 12.27/8.58 tff(10442,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(quant_intro,[status(thm)],[10441])).
% 12.27/8.58 tff(10443,axiom,(![Y: $i, X: $i, J0: $i] : (((m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down))) | (~m_state_v_topPos(J0, Y))) | (~node22(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_15')).
% 12.27/8.58 tff(10444,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 12.27/8.58 tff(10445,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10444, 10440])).
% 12.27/8.58 tff(10446,plain,(
% 12.27/8.58 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(skolemize,[status(sab)],[10445])).
% 12.27/8.58 tff(10447,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10446, 10439])).
% 12.27/8.58 tff(10448,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10449,plain,
% 12.27/8.58 (((~m_state_v_topPos(c_s, s3)) | (~node22(c_s, s9, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3)))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10450,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s3)) | (~node22(c_s, s9, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3))))),
% 12.27/8.58 inference(monotonicity,[status(thm)],[10449])).
% 12.27/8.58 tff(10451,plain,
% 12.27/8.58 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s3)) | (~node22(c_s, s9, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3)))),
% 12.27/8.58 inference(transitivity,[status(thm)],[10450, 10448])).
% 12.27/8.58 tff(10452,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s3)) | (~node22(c_s, s9, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10453,plain,
% 12.27/8.58 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s3)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s3))),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 12.27/8.58 tff(10454,plain,
% 12.27/8.58 ($false),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10453, 10447, 6709, 10433, 10437, 5882])).
% 12.27/8.58 tff(10455,plain,(~node22(c_s, s9, s3)), inference(lemma,lemma(discharge,[]))).
% 12.27/8.58 tff(10456,plain,
% 12.27/8.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10457,plain,
% 12.27/8.58 (((~trans(s9, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s3)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10458,plain,
% 12.27/8.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3)))),
% 12.27/8.58 inference(monotonicity,[status(thm)],[10457])).
% 12.27/8.58 tff(10459,plain,
% 12.27/8.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3))),
% 12.27/8.58 inference(transitivity,[status(thm)],[10458, 10456])).
% 12.27/8.58 tff(10460,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s3))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10461,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s3)) | node22(c_s, s9, s3)),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 12.27/8.58 tff(10462,plain,
% 12.27/8.58 ((~trans(s9, s3)) | node22(c_s, s9, s3)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10461, 62, 5593])).
% 12.27/8.58 tff(10463,plain,
% 12.27/8.58 (~trans(s9, s3)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10462, 10455])).
% 12.27/8.58 tff(10464,plain,
% 12.27/8.58 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))),
% 12.27/8.58 inference(rewrite,[status(thm)],[])).
% 12.27/8.58 tff(10465,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8))),
% 12.27/8.58 inference(quant_inst,[status(thm)],[])).
% 12.27/8.58 tff(10466,plain,
% 12.27/8.58 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s7, s8)),
% 12.27/8.58 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 12.27/8.58 tff(10467,plain,
% 12.27/8.58 (node159(c_s, s7, s8)),
% 12.27/8.58 inference(unit_resolution,[status(thm)],[10466, 2729, 3365, 4830])).
% 12.27/8.58 tff(10468,plain,
% 12.27/8.58 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)))),
% 12.27/8.58 inference(bind,[status(th)],[])).
% 12.27/8.58 tff(10469,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.58 inference(quant_intro,[status(thm)],[10468])).
% 12.27/8.58 tff(10470,plain,
% 12.27/8.58 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10471,plain,
% 12.27/8.59 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_counterclock)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))))),
% 12.27/8.59 inference(bind,[status(th)],[])).
% 12.27/8.59 tff(10472,plain,
% 12.27/8.59 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(quant_intro,[status(thm)],[10471])).
% 12.27/8.59 tff(10473,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_RRM(J0, Y, c_counterclock)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_177')).
% 12.27/8.59 tff(10474,plain,
% 12.27/8.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 12.27/8.59 tff(10475,plain,
% 12.27/8.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10474, 10470])).
% 12.27/8.59 tff(10476,plain,(
% 12.27/8.59 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(skolemize,[status(sab)],[10475])).
% 12.27/8.59 tff(10477,plain,
% 12.27/8.59 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10476, 10469])).
% 12.27/8.59 tff(10478,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8)))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10479,plain,
% 12.27/8.59 (((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock)) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8)))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10480,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8))))),
% 12.27/8.59 inference(monotonicity,[status(thm)],[10479])).
% 12.27/8.59 tff(10481,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8)))),
% 12.27/8.59 inference(transitivity,[status(thm)],[10480, 10478])).
% 12.27/8.59 tff(10482,plain,
% 12.27/8.59 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node159(c_s, s7, s8)) | m_state_v_RRM(c_s, s8, c_counterclock))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10483,plain,
% 12.27/8.59 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_counterclock))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock) | (~node159(c_s, s7, s8))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 12.27/8.59 tff(10484,plain,
% 12.27/8.59 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | m_state_v_RRM(c_s, s8, c_counterclock)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10483, 10477, 10467])).
% 12.27/8.59 tff(10485,plain,
% 12.27/8.59 ((~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_RRM(c_s, s8, c_counterclock)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10484, 10232, 10212])).
% 12.27/8.59 tff(10486,plain,
% 12.27/8.59 (m_state_v_RRM(c_s, s8, c_counterclock)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10485, 9989])).
% 12.27/8.59 tff(10487,plain,
% 12.27/8.59 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10488,plain,
% 12.27/8.59 ((m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6))) <=> ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10489,plain,
% 12.27/8.59 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | ((~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)))),
% 12.27/8.59 inference(monotonicity,[status(thm)],[10488])).
% 12.27/8.59 tff(10490,plain,
% 12.27/8.59 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted))),
% 12.27/8.59 inference(transitivity,[status(thm)],[10489, 10487])).
% 12.27/8.59 tff(10491,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (m_state_v_a1ext(c_s, s6, c_retracted) | (~node150(c_s, s6)))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10492,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node150(J0, X)))) | (~node150(c_s, s6)) | m_state_v_a1ext(c_s, s6, c_retracted)),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 12.27/8.59 tff(10493,plain,
% 12.27/8.59 (~node150(c_s, s6)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10492, 9491, 8670])).
% 12.27/8.59 tff(10494,plain,
% 12.27/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend)))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10495,plain,
% 12.27/8.59 (((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s4, c_extend))) <=> (m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend)))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10496,plain,
% 12.27/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s4, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend))))),
% 12.27/8.59 inference(monotonicity,[status(thm)],[10495])).
% 12.27/8.59 tff(10497,plain,
% 12.27/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s4, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend)))),
% 12.27/8.59 inference(transitivity,[status(thm)],[10496, 10494])).
% 12.27/8.59 tff(10498,plain,
% 12.27/8.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s3, s4)) | m_state_v_A2M(c_s, s3, c_extend) | (~m_state_v_A2M(c_s, s4, c_extend)))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10499,plain,
% 12.27/8.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s3, c_extend) | (~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s4, c_extend))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 12.27/8.59 tff(10500,plain,
% 12.27/8.59 (~m_state_v_A2M(c_s, s4, c_extend)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10499, 5541, 9744, 9711])).
% 12.27/8.59 tff(10501,plain,
% 12.27/8.59 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10502,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10503,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s4)) | m_state_v_A2M(c_s, s4, c_extend)),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10502, 10501])).
% 12.27/8.59 tff(10504,plain,
% 12.27/8.59 (~node33(c_s, s4)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10503, 9605, 10500])).
% 12.27/8.59 tff(10505,plain,
% 12.27/8.59 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10506,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4)))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10507,plain,
% 12.27/8.59 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s4, c_extend) | (~node34(c_s, s4))),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 12.27/8.59 tff(10508,plain,
% 12.27/8.59 (~node34(c_s, s4)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10507, 9616, 10500])).
% 12.27/8.59 tff(10509,plain,
% 12.27/8.59 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10510,plain,
% 12.27/8.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10511,plain,
% 12.27/8.59 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s4, s5)),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10510, 10509])).
% 12.27/8.59 tff(10512,plain,
% 12.27/8.59 (node36(c_s, s4, s5)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10511, 62, 3579, 1043])).
% 12.27/8.59 tff(10513,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10514,plain,
% 12.27/8.59 ((m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5))) <=> (m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4))),
% 12.27/8.59 inference(rewrite,[status(thm)],[])).
% 12.27/8.59 tff(10515,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4)))),
% 12.27/8.59 inference(monotonicity,[status(thm)],[10514])).
% 12.27/8.59 tff(10516,plain,
% 12.27/8.59 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4))),
% 12.27/8.59 inference(transitivity,[status(thm)],[10515, 10513])).
% 12.27/8.59 tff(10517,plain,
% 12.27/8.59 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s4, c_retract) | node34(c_s, s4) | node33(c_s, s4) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)))),
% 12.27/8.59 inference(quant_inst,[status(thm)],[])).
% 12.27/8.59 tff(10518,plain,
% 12.27/8.59 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | (~node36(c_s, s4, s5)) | node33(c_s, s4) | node34(c_s, s4)),
% 12.27/8.59 inference(modus_ponens,[status(thm)],[10517, 10516])).
% 12.27/8.59 tff(10519,plain,
% 12.27/8.59 (m_state_v_A2M(c_s, s4, c_retract) | node35(c_s, s4, s5) | node33(c_s, s4) | node34(c_s, s4)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10518, 3629, 10512])).
% 12.27/8.59 tff(10520,plain,
% 12.27/8.59 (node35(c_s, s4, s5)),
% 12.27/8.59 inference(unit_resolution,[status(thm)],[10519, 10508, 9718, 10504])).
% 12.27/8.59 tff(10521,plain,
% 12.27/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5)))),
% 12.34/8.59 inference(rewrite,[status(thm)],[])).
% 12.34/8.59 tff(10522,plain,
% 12.34/8.59 (((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob))) <=> (m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5)))),
% 12.34/8.59 inference(rewrite,[status(thm)],[])).
% 12.34/8.59 tff(10523,plain,
% 12.34/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5))))),
% 12.34/8.59 inference(monotonicity,[status(thm)],[10522])).
% 12.34/8.59 tff(10524,plain,
% 12.34/8.59 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5)))),
% 12.34/8.59 inference(transitivity,[status(thm)],[10523, 10521])).
% 12.34/8.59 tff(10525,plain,
% 12.34/8.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)))),
% 12.34/8.59 inference(quant_inst,[status(thm)],[])).
% 12.34/8.59 tff(10526,plain,
% 12.34/8.59 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~m_state_v_a2ext(c_s, s5, c_ob)) | (~node35(c_s, s4, s5))),
% 12.34/8.59 inference(modus_ponens,[status(thm)],[10525, 10524])).
% 12.34/8.59 tff(10527,plain,
% 12.34/8.59 (~m_state_v_a2ext(c_s, s5, c_ob)),
% 12.34/8.59 inference(unit_resolution,[status(thm)],[10526, 5294, 10119, 10520])).
% 12.34/8.59 tff(10528,plain,
% 12.34/8.59 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 12.34/8.59 inference(rewrite,[status(thm)],[])).
% 12.34/8.59 tff(10529,plain,
% 12.34/8.59 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob))),
% 12.34/8.59 inference(quant_inst,[status(thm)],[])).
% 12.34/8.59 tff(10530,plain,
% 12.34/8.59 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_ob)),
% 12.34/8.59 inference(modus_ponens,[status(thm)],[10529, 10528])).
% 12.34/8.59 tff(10531,plain,
% 12.34/8.59 (~node135(c_s, s5)),
% 12.34/8.59 inference(unit_resolution,[status(thm)],[10530, 9697, 10527])).
% 12.34/8.59 tff(10532,plain,
% 12.34/8.59 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))),
% 12.34/8.59 inference(rewrite,[status(thm)],[])).
% 12.34/8.59 tff(10533,plain,
% 12.34/8.59 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5)))),
% 12.34/8.59 inference(quant_inst,[status(thm)],[])).
% 12.34/8.59 tff(10534,plain,
% 12.34/8.59 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node132(c_s, s5))),
% 12.34/8.59 inference(modus_ponens,[status(thm)],[10533, 10532])).
% 12.34/8.59 tff(10535,plain,
% 12.34/8.59 (~node132(c_s, s5)),
% 12.34/8.59 inference(unit_resolution,[status(thm)],[10534, 3170, 9838])).
% 12.34/8.60 tff(10536,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node139(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node139(c_s, s5)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10537,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node139(c_s, s5)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10538,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node139(c_s, s5))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 12.34/8.60 tff(10539,plain,
% 12.34/8.60 (~node139(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10538, 3247, 9476])).
% 12.34/8.60 tff(10540,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10541,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10542,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~node137(c_s, s5))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10541, 10540])).
% 12.34/8.60 tff(10543,plain,
% 12.34/8.60 (~node137(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10542, 5345, 10527])).
% 12.34/8.60 tff(10544,plain,
% 12.34/8.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10545,plain,
% 12.34/8.60 (((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip))) <=> (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10546,plain,
% 12.34/8.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip))))),
% 12.34/8.60 inference(monotonicity,[status(thm)],[10545])).
% 12.34/8.60 tff(10547,plain,
% 12.34/8.60 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))),
% 12.34/8.60 inference(transitivity,[status(thm)],[10546, 10544])).
% 12.34/8.60 tff(10548,plain,
% 12.34/8.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s4, s5)) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~m_state_v_a2ext(c_s, s5, c_a2ip)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10549,plain,
% 12.34/8.60 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s4, c_a2ip) | (~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s5, c_a2ip))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 12.34/8.60 tff(10550,plain,
% 12.34/8.60 (~m_state_v_a2ext(c_s, s5, c_a2ip)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10549, 5294, 10130, 10520])).
% 12.34/8.60 tff(10551,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10552,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10553,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s5)) | m_state_v_a2ext(c_s, s5, c_a2ip)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10552, 10551])).
% 12.34/8.60 tff(10554,plain,
% 12.34/8.60 (~node134(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10553, 9679, 10550])).
% 12.34/8.60 tff(10555,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node138(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node138(c_s, s5)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10556,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node138(c_s, s5)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10557,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node138(c_s, s5))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10556, 10555])).
% 12.34/8.60 tff(10558,plain,
% 12.34/8.60 (~node138(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10557, 3203, 9838])).
% 12.34/8.60 tff(10559,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10560,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10561,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 12.34/8.60 tff(10562,plain,
% 12.34/8.60 (~node133(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10561, 8463, 10150])).
% 12.34/8.60 tff(10563,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10564,plain,
% 12.34/8.60 ((m_state_v_A2Mag(c_s, s5, c_on) | (~node136(c_s, s5))) <=> ((~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10565,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node136(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)))),
% 12.34/8.60 inference(monotonicity,[status(thm)],[10564])).
% 12.34/8.60 tff(10566,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node136(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on))),
% 12.34/8.60 inference(transitivity,[status(thm)],[10565, 10563])).
% 12.34/8.60 tff(10567,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s5, c_on) | (~node136(c_s, s5)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10568,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s5)) | m_state_v_A2Mag(c_s, s5, c_on)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 12.34/8.60 tff(10569,plain,
% 12.34/8.60 (~node136(c_s, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10568, 8496, 10150])).
% 12.34/8.60 tff(10570,plain,
% 12.34/8.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10571,plain,
% 12.34/8.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10572,plain,
% 12.34/8.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s5, s6)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 12.34/8.60 tff(10573,plain,
% 12.34/8.60 (node141(c_s, s5, s6)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10572, 2729, 3159, 14])).
% 12.34/8.60 tff(10574,plain,
% 12.34/8.60 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10575,plain,
% 12.34/8.60 ((node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))) <=> (node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10576,plain,
% 12.34/8.60 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))))),
% 12.34/8.60 inference(monotonicity,[status(thm)],[10575])).
% 12.34/8.60 tff(10577,plain,
% 12.34/8.60 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 12.34/8.60 inference(transitivity,[status(thm)],[10576, 10574])).
% 12.34/8.60 tff(10578,plain,
% 12.34/8.60 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s5) | node133(c_s, s5) | node134(c_s, s5) | node135(c_s, s5) | node136(c_s, s5) | node137(c_s, s5) | node138(c_s, s5) | node139(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10579,plain,
% 12.34/8.60 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6) | (~node141(c_s, s5, s6))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 12.34/8.60 tff(10580,plain,
% 12.34/8.60 (node132(c_s, s5) | node133(c_s, s5) | node138(c_s, s5) | node136(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10579, 3261, 10573])).
% 12.34/8.60 tff(10581,plain,
% 12.34/8.60 (node132(c_s, s5) | node138(c_s, s5) | node134(c_s, s5) | node139(c_s, s5) | node137(c_s, s5) | node135(c_s, s5) | node140(c_s, s5, s6)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10580, 10569, 10562])).
% 12.34/8.60 tff(10582,plain,
% 12.34/8.60 (node140(c_s, s5, s6)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10581, 10558, 10554, 10543, 10539, 10535, 10531])).
% 12.34/8.60 tff(10583,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10584,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10585,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node139(c_s, s4))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 12.34/8.60 tff(10586,plain,
% 12.34/8.60 (~node139(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10585, 8449, 9718])).
% 12.34/8.60 tff(10587,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10588,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10589,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s4, c_retract) | (~node138(c_s, s4))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 12.34/8.60 tff(10590,plain,
% 12.34/8.60 (~node138(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10589, 8485, 9718])).
% 12.34/8.60 tff(10591,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | ((~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10592,plain,
% 12.34/8.60 ((m_state_v_a1ext(c_s, s4, c_retracted) | (~node132(c_s, s4))) <=> ((~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10593,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node132(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | ((~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)))),
% 12.34/8.60 inference(monotonicity,[status(thm)],[10592])).
% 12.34/8.60 tff(10594,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node132(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted))),
% 12.34/8.60 inference(transitivity,[status(thm)],[10593, 10591])).
% 12.34/8.60 tff(10595,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (m_state_v_a1ext(c_s, s4, c_retracted) | (~node132(c_s, s4)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10596,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_retracted) | (~node132(J0, X)))) | (~node132(c_s, s4)) | m_state_v_a1ext(c_s, s4, c_retracted)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10595, 10594])).
% 12.34/8.60 tff(10597,plain,
% 12.34/8.60 (~node132(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10596, 9573, 6439])).
% 12.34/8.60 tff(10598,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))) <=> ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10599,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | ((~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10600,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node135(J0, X)) | m_state_v_a2ext(J0, X, c_ob))) | (~node135(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_ob)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 12.34/8.60 tff(10601,plain,
% 12.34/8.60 (~node135(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10600, 9697, 10119])).
% 12.34/8.60 tff(10602,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10603,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10604,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s4, c_ob) | (~node137(c_s, s4))),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 12.34/8.60 tff(10605,plain,
% 12.34/8.60 (~node137(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10604, 5345, 10119])).
% 12.34/8.60 tff(10606,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10607,plain,
% 12.34/8.60 ((m_state_v_A2Mag(c_s, s4, c_on) | (~node136(c_s, s4))) <=> ((~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10608,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node136(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | ((~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)))),
% 12.34/8.60 inference(monotonicity,[status(thm)],[10607])).
% 12.34/8.60 tff(10609,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node136(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.34/8.60 inference(transitivity,[status(thm)],[10608, 10606])).
% 12.34/8.60 tff(10610,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s4, c_on) | (~node136(c_s, s4)))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10611,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (~node136(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 12.34/8.60 tff(10612,plain,
% 12.34/8.60 (~node136(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10611, 8496, 9775])).
% 12.34/8.60 tff(10613,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))) <=> ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10614,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | ((~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10615,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node134(J0, X)) | m_state_v_a2ext(J0, X, c_a2ip))) | (~node134(c_s, s4)) | m_state_v_a2ext(c_s, s4, c_a2ip)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 12.34/8.60 tff(10616,plain,
% 12.34/8.60 (~node134(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10615, 9679, 10130])).
% 12.34/8.60 tff(10617,plain,
% 12.34/8.60 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10618,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10619,plain,
% 12.34/8.60 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s4)) | m_state_v_A2Mag(c_s, s4, c_on)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 12.34/8.60 tff(10620,plain,
% 12.34/8.60 (~node133(c_s, s4)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10619, 8463, 9775])).
% 12.34/8.60 tff(10621,plain,
% 12.34/8.60 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))),
% 12.34/8.60 inference(rewrite,[status(thm)],[])).
% 12.34/8.60 tff(10622,plain,
% 12.34/8.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5))),
% 12.34/8.60 inference(quant_inst,[status(thm)],[])).
% 12.34/8.60 tff(10623,plain,
% 12.34/8.60 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s4, s5)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s4, s5)),
% 12.34/8.60 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 12.34/8.60 tff(10624,plain,
% 12.34/8.60 (node141(c_s, s4, s5)),
% 12.34/8.60 inference(unit_resolution,[status(thm)],[10623, 2729, 3159, 1043])).
% 12.34/8.60 tff(10625,plain,
% 12.34/8.60 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10626,plain,
% 12.34/8.61 ((node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))) <=> (node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10627,plain,
% 12.34/8.61 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10626])).
% 12.34/8.61 tff(10628,plain,
% 12.34/8.61 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10627, 10625])).
% 12.34/8.61 tff(10629,plain,
% 12.34/8.61 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node135(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node138(c_s, s4) | node139(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10630,plain,
% 12.34/8.61 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5) | (~node141(c_s, s4, s5))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10629, 10628])).
% 12.34/8.61 tff(10631,plain,
% 12.34/8.61 (node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node133(c_s, s4) | node134(c_s, s4) | node136(c_s, s4) | node137(c_s, s4) | node135(c_s, s4) | node140(c_s, s4, s5)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10630, 3261, 10624])).
% 12.34/8.61 tff(10632,plain,
% 12.34/8.61 (node132(c_s, s4) | node139(c_s, s4) | node138(c_s, s4) | node140(c_s, s4, s5)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10631, 10620, 10616, 10612, 10605, 10601])).
% 12.34/8.61 tff(10633,plain,
% 12.34/8.61 (node140(c_s, s4, s5)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10632, 10597, 10590, 10586])).
% 12.34/8.61 tff(10634,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10635,plain,
% 12.34/8.61 (((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract))) <=> (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10636,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10635])).
% 12.34/8.61 tff(10637,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10636, 10634])).
% 12.34/8.61 tff(10638,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10639,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_retract) | (~m_state_v_A2M(c_s, s5, c_retract)) | (~node140(c_s, s4, s5))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 12.34/8.61 tff(10640,plain,
% 12.34/8.61 (~m_state_v_A2M(c_s, s5, c_retract)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10639, 5541, 9718, 10633])).
% 12.34/8.61 tff(10641,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10642,plain,
% 12.34/8.61 (((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract))) <=> (m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10643,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10642])).
% 12.34/8.61 tff(10644,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10643, 10641])).
% 12.34/8.61 tff(10645,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10646,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s5, c_retract) | (~m_state_v_A2M(c_s, s6, c_retract)) | (~node140(c_s, s5, s6))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 12.34/8.61 tff(10647,plain,
% 12.34/8.61 (~m_state_v_A2M(c_s, s6, c_retract)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10646, 5541, 10640, 10582])).
% 12.34/8.61 tff(10648,plain,
% 12.34/8.61 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10649,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10650,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node151(c_s, s6))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 12.34/8.61 tff(10651,plain,
% 12.34/8.61 (~node151(c_s, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10650, 6993, 10647])).
% 12.34/8.61 tff(10652,plain,
% 12.34/8.61 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10653,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10654,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node152(c_s, s6))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 12.34/8.61 tff(10655,plain,
% 12.34/8.61 (~node152(c_s, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10654, 6911, 10647])).
% 12.34/8.61 tff(10656,plain,
% 12.34/8.61 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10657,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10658,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node147(J0, X)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~node147(c_s, s5))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 12.34/8.61 tff(10659,plain,
% 12.34/8.61 (~node147(c_s, s5)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10658, 5444, 10527])).
% 12.34/8.61 tff(10660,plain,
% 12.34/8.61 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10661,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | (m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10662,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_a2ip) | (~node146(J0, X)))) | m_state_v_a2ext(c_s, s5, c_a2ip) | (~node146(c_s, s5))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 12.34/8.61 tff(10663,plain,
% 12.34/8.61 (~node146(c_s, s5)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10662, 5455, 10550])).
% 12.34/8.61 tff(10664,plain,
% 12.34/8.61 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10665,plain,
% 12.34/8.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10666,plain,
% 12.34/8.61 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s5, s6)),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10665, 10664])).
% 12.34/8.61 tff(10667,plain,
% 12.34/8.61 (node149(c_s, s5, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10666, 2729, 3295, 14])).
% 12.34/8.61 tff(10668,plain,
% 12.34/8.61 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10669,plain,
% 12.34/8.61 ((node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6))) <=> (node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10670,plain,
% 12.34/8.61 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6)))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10669])).
% 12.34/8.61 tff(10671,plain,
% 12.34/8.61 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10670, 10668])).
% 12.34/8.61 tff(10672,plain,
% 12.34/8.61 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6) | (~node149(c_s, s5, s6)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10673,plain,
% 12.34/8.61 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s5) | node147(c_s, s5) | (~node149(c_s, s5, s6)) | node148(c_s, s5, s6)),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10672, 10671])).
% 12.34/8.61 tff(10674,plain,
% 12.34/8.61 (node146(c_s, s5) | node147(c_s, s5) | node148(c_s, s5, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10673, 3331, 10667])).
% 12.34/8.61 tff(10675,plain,
% 12.34/8.61 (node148(c_s, s5, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10674, 10663, 10659])).
% 12.34/8.61 tff(10676,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10677,plain,
% 12.34/8.61 (((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on))) <=> ((~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10678,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10677])).
% 12.34/8.61 tff(10679,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10678, 10676])).
% 12.34/8.61 tff(10680,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s5, s6)) | m_state_v_A2Mag(c_s, s5, c_on) | (~m_state_v_A2Mag(c_s, s6, c_on)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10681,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (~m_state_v_A2Mag(c_s, s6, c_on)) | m_state_v_A2Mag(c_s, s5, c_on) | (~node148(c_s, s5, s6))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 12.34/8.61 tff(10682,plain,
% 12.34/8.61 (~m_state_v_A2Mag(c_s, s6, c_on)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10681, 5430, 10150, 10675])).
% 12.34/8.61 tff(10683,plain,
% 12.34/8.61 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10684,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10685,plain,
% 12.34/8.61 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~node155(c_s, s6))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 12.34/8.61 tff(10686,plain,
% 12.34/8.61 (~node155(c_s, s6)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10685, 6922, 10682])).
% 12.34/8.61 tff(10687,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10688,plain,
% 12.34/8.61 (((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise))) <=> ((~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10689,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10688])).
% 12.34/8.61 tff(10690,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10689, 10687])).
% 12.34/8.61 tff(10691,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s4, s5)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~m_state_v_RRM(c_s, s5, c_clockwise)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.61 tff(10692,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~m_state_v_RRM(c_s, s5, c_clockwise)) | m_state_v_RRM(c_s, s4, c_clockwise) | (~node158(c_s, s4, s5))),
% 12.34/8.61 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 12.34/8.61 tff(10693,plain,
% 12.34/8.61 (~m_state_v_RRM(c_s, s5, c_clockwise)),
% 12.34/8.61 inference(unit_resolution,[status(thm)],[10692, 5151, 8566, 9795])).
% 12.34/8.61 tff(10694,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10695,plain,
% 12.34/8.61 (((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise))) <=> (m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6)))),
% 12.34/8.61 inference(rewrite,[status(thm)],[])).
% 12.34/8.61 tff(10696,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6))))),
% 12.34/8.61 inference(monotonicity,[status(thm)],[10695])).
% 12.34/8.61 tff(10697,plain,
% 12.34/8.61 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6)))),
% 12.34/8.61 inference(transitivity,[status(thm)],[10696, 10694])).
% 12.34/8.61 tff(10698,plain,
% 12.34/8.61 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s5, s6)) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)))),
% 12.34/8.61 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10699,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s5, c_clockwise) | (~m_state_v_RRM(c_s, s6, c_clockwise)) | (~node158(c_s, s5, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10698, 10697])).
% 12.34/8.62 tff(10700,plain,
% 12.34/8.62 (~m_state_v_RRM(c_s, s6, c_clockwise)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10699, 5151, 10693, 10170])).
% 12.34/8.62 tff(10701,plain,
% 12.34/8.62 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s6, c_clockwise) | (~node157(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s6, c_clockwise) | (~node157(c_s, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10702,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | (m_state_v_RRM(c_s, s6, c_clockwise) | (~node157(c_s, s6)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10703,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_clockwise) | (~node157(J0, X)))) | m_state_v_RRM(c_s, s6, c_clockwise) | (~node157(c_s, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 12.34/8.62 tff(10704,plain,
% 12.34/8.62 (~node157(c_s, s6)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10703, 3387, 10700])).
% 12.34/8.62 tff(10705,plain,
% 12.34/8.62 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10706,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10707,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node153(c_s, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 12.34/8.62 tff(10708,plain,
% 12.34/8.62 (~node153(c_s, s6)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10707, 5176, 9861])).
% 12.34/8.62 tff(10709,plain,
% 12.34/8.62 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~node154(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~node154(c_s, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10710,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~node154(c_s, s6)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10711,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node154(J0, X)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~node154(c_s, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10710, 10709])).
% 12.34/8.62 tff(10712,plain,
% 12.34/8.62 (~node154(c_s, s6)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10711, 9733, 10177])).
% 12.34/8.62 tff(10713,plain,
% 12.34/8.62 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~node156(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~node156(c_s, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10714,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~node156(c_s, s6)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10715,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_counterclock) | (~node156(J0, X)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~node156(c_s, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 12.34/8.62 tff(10716,plain,
% 12.34/8.62 (~node156(c_s, s6)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10715, 9519, 10177])).
% 12.34/8.62 tff(10717,plain,
% 12.34/8.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10718,plain,
% 12.34/8.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10719,plain,
% 12.34/8.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s6, s7)),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 12.34/8.62 tff(10720,plain,
% 12.34/8.62 (node159(c_s, s6, s7)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10719, 2729, 3365, 2095])).
% 12.34/8.62 tff(10721,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10722,plain,
% 12.34/8.62 ((node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7))) <=> (node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10723,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7)))),
% 12.34/8.62 inference(monotonicity,[status(thm)],[10722])).
% 12.34/8.62 tff(10724,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7))),
% 12.34/8.62 inference(transitivity,[status(thm)],[10723, 10721])).
% 12.34/8.62 tff(10725,plain,
% 12.34/8.62 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s6) | node151(c_s, s6) | node152(c_s, s6) | node153(c_s, s6) | node154(c_s, s6) | node155(c_s, s6) | node156(c_s, s6) | node157(c_s, s6) | node158(c_s, s6, s7) | (~node159(c_s, s6, s7)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10726,plain,
% 12.34/8.62 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | (~node159(c_s, s6, s7)) | node158(c_s, s6, s7)),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 12.34/8.62 tff(10727,plain,
% 12.34/8.62 (node157(c_s, s6) | node156(c_s, s6) | node154(c_s, s6) | node150(c_s, s6) | node153(c_s, s6) | node151(c_s, s6) | node155(c_s, s6) | node152(c_s, s6) | node158(c_s, s6, s7)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10726, 3478, 10720])).
% 12.34/8.62 tff(10728,plain,
% 12.34/8.62 (node150(c_s, s6) | node158(c_s, s6, s7)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10727, 10716, 10712, 10708, 10704, 10686, 10655, 10651])).
% 12.34/8.62 tff(10729,plain,
% 12.34/8.62 (node158(c_s, s6, s7)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10728, 10493])).
% 12.34/8.62 tff(10730,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10731,plain,
% 12.34/8.62 (((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle)) <=> (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10732,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6))))),
% 12.34/8.62 inference(monotonicity,[status(thm)],[10731])).
% 12.34/8.62 tff(10733,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6)))),
% 12.34/8.62 inference(transitivity,[status(thm)],[10732, 10730])).
% 12.34/8.62 tff(10734,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s5, s6)) | (~m_state_v_RRM(c_s, s5, c_idle)) | m_state_v_RRM(c_s, s6, c_idle))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10735,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | m_state_v_RRM(c_s, s6, c_idle) | (~m_state_v_RRM(c_s, s5, c_idle)) | (~node158(c_s, s5, s6))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 12.34/8.62 tff(10736,plain,
% 12.34/8.62 (m_state_v_RRM(c_s, s6, c_idle)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10735, 3495, 10015, 10170])).
% 12.34/8.62 tff(10737,assumption,(node158(c_s, s6, s7)), introduced(assumption)).
% 12.34/8.62 tff(10738,assumption,(~m_state_v_RRM(c_s, s7, c_idle)), introduced(assumption)).
% 12.34/8.62 tff(10739,assumption,(m_state_v_RRM(c_s, s6, c_idle)), introduced(assumption)).
% 12.34/8.62 tff(10740,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10741,plain,
% 12.34/8.62 (((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle)) <=> ((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10742,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))))),
% 12.34/8.62 inference(monotonicity,[status(thm)],[10741])).
% 12.34/8.62 tff(10743,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(transitivity,[status(thm)],[10742, 10740])).
% 12.34/8.62 tff(10744,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10745,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 12.34/8.62 tff(10746,plain,
% 12.34/8.62 ($false),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10745, 3495, 10739, 10738, 10737])).
% 12.34/8.62 tff(10747,plain,((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 12.34/8.62 tff(10748,plain,
% 12.34/8.62 (m_state_v_RRM(c_s, s7, c_idle) | (~node158(c_s, s6, s7))),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10747, 10736])).
% 12.34/8.62 tff(10749,plain,
% 12.34/8.62 (m_state_v_RRM(c_s, s7, c_idle)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10748, 10729])).
% 12.34/8.62 tff(10750,plain,
% 12.34/8.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10751,plain,
% 12.34/8.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10752,plain,
% 12.34/8.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s7, s8)),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 12.34/8.62 tff(10753,plain,
% 12.34/8.62 (node48(c_s, s7, s8)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10752, 62, 6300, 4830])).
% 12.34/8.62 tff(10754,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10755,plain,
% 12.34/8.62 (((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10756,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8))))),
% 12.34/8.62 inference(monotonicity,[status(thm)],[10755])).
% 12.34/8.62 tff(10757,plain,
% 12.34/8.62 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8)))),
% 12.34/8.62 inference(transitivity,[status(thm)],[10756, 10754])).
% 12.34/8.62 tff(10758,plain,
% 12.34/8.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~node48(c_s, s7, s8)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s7, c_idle)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10759,plain,
% 12.34/8.62 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable) | (~node48(c_s, s7, s8))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 12.34/8.62 tff(10760,plain,
% 12.34/8.62 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10759, 6314, 10753])).
% 12.34/8.62 tff(10761,plain,
% 12.34/8.62 ((~m_state_v_RRM(c_s, s7, c_idle)) | m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10760, 10212])).
% 12.34/8.62 tff(10762,plain,
% 12.34/8.62 (m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10761, 10749])).
% 12.34/8.62 tff(10763,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10764,plain,
% 12.34/8.62 (((~node158(c_s, s6, s7)) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock))) <=> (m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10765,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s6, s7)) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7))))),
% 12.34/8.62 inference(monotonicity,[status(thm)],[10764])).
% 12.34/8.62 tff(10766,plain,
% 12.34/8.62 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s6, s7)) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7)))),
% 12.34/8.62 inference(transitivity,[status(thm)],[10765, 10763])).
% 12.34/8.62 tff(10767,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s6, s7)) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10768,plain,
% 12.34/8.62 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | m_state_v_RRM(c_s, s6, c_counterclock) | (~m_state_v_RRM(c_s, s7, c_counterclock)) | (~node158(c_s, s6, s7))),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 12.34/8.62 tff(10769,plain,
% 12.34/8.62 (~m_state_v_RRM(c_s, s7, c_counterclock)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10768, 5151, 10177, 10729])).
% 12.34/8.62 tff(10770,plain,
% 12.34/8.62 (((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))) <=> ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10771,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | ((~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock))),
% 12.34/8.62 inference(quant_inst,[status(thm)],[])).
% 12.34/8.62 tff(10772,plain,
% 12.34/8.62 ((~![X: $i, J0: $i] : ((~node37(J0, X)) | m_state_v_RRM(J0, X, c_counterclock))) | (~node37(c_s, s7)) | m_state_v_RRM(c_s, s7, c_counterclock)),
% 12.34/8.62 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 12.34/8.62 tff(10773,plain,
% 12.34/8.62 (~node37(c_s, s7)),
% 12.34/8.62 inference(unit_resolution,[status(thm)],[10772, 2461, 10769])).
% 12.34/8.62 tff(10774,plain,
% 12.34/8.62 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))),
% 12.34/8.62 inference(rewrite,[status(thm)],[])).
% 12.34/8.62 tff(10775,plain,
% 12.34/8.62 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10776,plain,
% 12.34/8.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node48(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node48(c_s, s6, s7)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 12.34/8.63 tff(10777,plain,
% 12.34/8.63 (node48(c_s, s6, s7)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10776, 62, 6300, 2095])).
% 12.34/8.63 tff(10778,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10779,plain,
% 12.34/8.63 (((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle))) <=> ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10780,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))))),
% 12.34/8.63 inference(monotonicity,[status(thm)],[10779])).
% 12.34/8.63 tff(10781,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable)))),
% 12.34/8.63 inference(transitivity,[status(thm)],[10780, 10778])).
% 12.34/8.63 tff(10782,plain,
% 12.34/8.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | ((~m_state_v_angle(c_s, s6, c_arm1totable)) | (~node48(c_s, s6, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_RRM(c_s, s6, c_idle)))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10783,plain,
% 12.34/8.63 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node48(J0, X, Y)) | m_state_v_angle_status(J0, Y, c_arm1stoppedattable) | (~m_state_v_RRM(J0, X, c_idle)))) | (~node48(c_s, s6, s7)) | (~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 12.34/8.63 tff(10784,plain,
% 12.34/8.63 ((~m_state_v_RRM(c_s, s6, c_idle)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedattable) | (~m_state_v_angle(c_s, s6, c_arm1totable))),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10783, 6314, 10777])).
% 12.34/8.63 tff(10785,plain,
% 12.34/8.63 (m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10784, 10736, 10205])).
% 12.34/8.63 tff(10786,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10787,plain,
% 12.34/8.63 (((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10788,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt))))),
% 12.34/8.63 inference(monotonicity,[status(thm)],[10787])).
% 12.34/8.63 tff(10789,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)))),
% 12.34/8.63 inference(transitivity,[status(thm)],[10788, 10786])).
% 12.34/8.63 tff(10790,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10791,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatbelt)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 12.34/8.63 tff(10792,plain,
% 12.34/8.63 (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10791, 6357, 10785])).
% 12.34/8.63 tff(10793,plain,
% 12.34/8.63 (((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt))) <=> ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10794,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | ((~node39(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10795,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node39(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatbelt))) | (~node39(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatbelt)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 12.34/8.63 tff(10796,plain,
% 12.34/8.63 (~node39(c_s, s7)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10795, 6374, 10792])).
% 12.34/8.63 tff(10797,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10798,plain,
% 12.34/8.63 (((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))) <=> ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10799,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))))),
% 12.34/8.63 inference(monotonicity,[status(thm)],[10798])).
% 12.34/8.63 tff(10800,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)))),
% 12.34/8.63 inference(transitivity,[status(thm)],[10799, 10797])).
% 12.34/8.63 tff(10801,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10802,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm2stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)) | (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10801, 10800])).
% 12.34/8.63 tff(10803,plain,
% 12.34/8.63 (~m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10802, 6329, 10785])).
% 12.34/8.63 tff(10804,plain,
% 12.34/8.63 (((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10805,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | ((~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10806,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node38(J0, X)) | m_state_v_angle_status(J0, X, c_arm2stoppedatpress))) | (~node38(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm2stoppedatpress)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 12.34/8.63 tff(10807,plain,
% 12.34/8.63 (~node38(c_s, s7)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10806, 6346, 10803])).
% 12.34/8.63 tff(10808,plain,
% 12.34/8.63 (((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10809,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | ((~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable)))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10810,plain,
% 12.34/8.63 ((~![I0: $i, X: $i] : ((~m_state_v_angle_status(I0, X, c_arm1stoppedatpress)) | (~m_state_v_angle_status(I0, X, c_arm1stoppedattable)))) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)) | (~m_state_v_angle_status(c_s, s7, c_arm1stoppedattable))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 12.34/8.63 tff(10811,plain,
% 12.34/8.63 (~m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10810, 6385, 10785])).
% 12.34/8.63 tff(10812,plain,
% 12.34/8.63 (((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))) <=> ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10813,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | ((~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10814,plain,
% 12.34/8.63 ((~![X: $i, J0: $i] : ((~node40(J0, X)) | m_state_v_angle_status(J0, X, c_arm1stoppedatpress))) | (~node40(c_s, s7)) | m_state_v_angle_status(c_s, s7, c_arm1stoppedatpress)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 12.34/8.63 tff(10815,plain,
% 12.34/8.63 (~node40(c_s, s7)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10814, 6399, 10811])).
% 12.34/8.63 tff(10816,plain,
% 12.34/8.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10817,plain,
% 12.34/8.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10818,plain,
% 12.34/8.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s7, s8)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10817, 10816])).
% 12.34/8.63 tff(10819,plain,
% 12.34/8.63 (node42(c_s, s7, s8)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10818, 62, 2427, 4830])).
% 12.34/8.63 tff(10820,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10821,plain,
% 12.34/8.63 ((node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))) <=> (node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10822,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))))),
% 12.34/8.63 inference(monotonicity,[status(thm)],[10821])).
% 12.34/8.63 tff(10823,plain,
% 12.34/8.63 (((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 12.34/8.63 inference(transitivity,[status(thm)],[10822, 10820])).
% 12.34/8.63 tff(10824,plain,
% 12.34/8.63 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | (node37(c_s, s7) | node38(c_s, s7) | node39(c_s, s7) | node40(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8)))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10825,plain,
% 12.34/8.63 ((~![Y: $i, X: $i, J0: $i] : (node37(J0, X) | node38(J0, X) | node39(J0, X) | node40(J0, X) | node41(J0, X, Y) | (~node42(J0, X, Y)))) | node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8) | (~node42(c_s, s7, s8))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10824, 10823])).
% 12.34/8.63 tff(10826,plain,
% 12.34/8.63 (node40(c_s, s7) | node39(c_s, s7) | node38(c_s, s7) | node37(c_s, s7) | node41(c_s, s7, s8)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10825, 2550, 10819])).
% 12.34/8.63 tff(10827,plain,
% 12.34/8.63 (node37(c_s, s7) | node41(c_s, s7, s8)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10826, 10815, 10807, 10796])).
% 12.34/8.63 tff(10828,plain,
% 12.34/8.63 (node41(c_s, s7, s8)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10827, 10773])).
% 12.34/8.63 tff(10829,plain,
% 12.34/8.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10830,plain,
% 12.34/8.63 (((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable)) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10831,plain,
% 12.34/8.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8))))),
% 12.34/8.63 inference(monotonicity,[status(thm)],[10830])).
% 12.34/8.63 tff(10832,plain,
% 12.34/8.63 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8)))),
% 12.34/8.63 inference(transitivity,[status(thm)],[10831, 10829])).
% 12.34/8.63 tff(10833,plain,
% 12.34/8.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | ((~node41(c_s, s7, s8)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10834,plain,
% 12.34/8.63 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | (~m_state_v_angle(J0, X, V)) | m_state_v_angle(J0, Y, V))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | m_state_v_angle(c_s, s8, c_arm1totable) | (~node41(c_s, s7, s8))),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10833, 10832])).
% 12.34/8.63 tff(10835,plain,
% 12.34/8.63 (m_state_v_angle(c_s, s8, c_arm1totable)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10834, 2666, 10212, 10828])).
% 12.34/8.63 tff(10836,plain,
% 12.34/8.63 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10837,plain,
% 12.34/8.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9))),
% 12.34/8.63 inference(quant_inst,[status(thm)],[])).
% 12.34/8.63 tff(10838,plain,
% 12.34/8.63 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node42(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node42(c_s, s8, s9)),
% 12.34/8.63 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 12.34/8.63 tff(10839,plain,
% 12.34/8.63 (node42(c_s, s8, s9)),
% 12.34/8.63 inference(unit_resolution,[status(thm)],[10838, 62, 2427, 4962])).
% 12.34/8.63 tff(10840,plain,
% 12.34/8.63 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))),
% 12.34/8.63 inference(bind,[status(th)],[])).
% 12.34/8.63 tff(10841,plain,
% 12.34/8.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.63 inference(quant_intro,[status(thm)],[10840])).
% 12.34/8.63 tff(10842,plain,
% 12.34/8.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.63 inference(rewrite,[status(thm)],[])).
% 12.34/8.63 tff(10843,plain,
% 12.34/8.63 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | m_state_v_angle(J0, Y, c_arm2topress)))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~node42(J0, X, Y))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~node42(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))), ((((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))))),
% 12.34/8.63 inference(bind,[status(th)],[])).
% 12.34/8.63 tff(10844,plain,
% 12.34/8.63 (![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.63 inference(quant_intro,[status(thm)],[10843])).
% 12.34/8.63 tff(10845,axiom,(![Y: $i, X: $i, J0: $i] : (((((~m_state_v_angle(J0, X, c_arm1totable)) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable))) | m_state_v_angle(J0, Y, c_arm2topress)) | (~node42(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_72')).
% 12.34/8.63 tff(10846,plain,
% 12.34/8.63 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 12.34/8.64 tff(10847,plain,
% 12.34/8.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10846, 10842])).
% 12.34/8.64 tff(10848,plain,(
% 12.34/8.64 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.64 inference(skolemize,[status(sab)],[10847])).
% 12.34/8.64 tff(10849,plain,
% 12.34/8.64 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10848, 10841])).
% 12.34/8.64 tff(10850,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10851,plain,
% 12.34/8.64 (((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock))) <=> ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10852,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable))))),
% 12.34/8.64 inference(monotonicity,[status(thm)],[10851])).
% 12.34/8.64 tff(10853,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)))),
% 12.34/8.64 inference(transitivity,[status(thm)],[10852, 10850])).
% 12.34/8.64 tff(10854,plain,
% 12.34/8.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~node42(c_s, s8, s9)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10855,plain,
% 12.34/8.64 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_angle(J0, X, c_arm1totable)) | (~node42(J0, X, Y)) | m_state_v_angle(J0, Y, c_arm2topress) | (~m_state_v_angle_status(J0, X, c_arm1stoppedattable)) | (~m_state_v_RRM(J0, X, c_counterclock)))) | (~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~node42(c_s, s8, s9)) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 12.34/8.64 tff(10856,plain,
% 12.34/8.64 ((~m_state_v_angle(c_s, s8, c_arm1totable)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_angle(c_s, s9, c_arm2topress) | (~m_state_v_angle_status(c_s, s8, c_arm1stoppedattable))),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10855, 10849, 10839])).
% 12.34/8.64 tff(10857,plain,
% 12.34/8.64 (m_state_v_angle(c_s, s9, c_arm2topress)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10856, 10835, 10762, 10486])).
% 12.34/8.64 tff(10858,plain,
% 12.34/8.64 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10859,plain,
% 12.34/8.64 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10860,plain,
% 12.34/8.64 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm1totable)) | (~m_state_v_angle(I0, X, c_arm2topress)))) | (~m_state_v_angle(c_s, s9, c_arm1totable)) | (~m_state_v_angle(c_s, s9, c_arm2topress))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 12.34/8.64 tff(10861,plain,
% 12.34/8.64 (~m_state_v_angle(c_s, s9, c_arm1totable)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10860, 2481, 10857])).
% 12.34/8.64 tff(10862,plain,
% 12.34/8.64 (^[X: $i, J0: $i] : refl((m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))))),
% 12.34/8.64 inference(bind,[status(th)],[])).
% 12.34/8.64 tff(10863,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.34/8.64 inference(quant_intro,[status(thm)],[10862])).
% 12.34/8.64 tff(10864,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10865,axiom,(![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_131')).
% 12.34/8.64 tff(10866,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 12.34/8.64 tff(10867,plain,(
% 12.34/8.64 ![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.34/8.64 inference(skolemize,[status(sab)],[10866])).
% 12.34/8.64 tff(10868,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10867, 10863])).
% 12.34/8.64 tff(10869,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1totable) | (~node150(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1totable) | (~node150(c_s, s9)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10870,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1totable) | (~node150(c_s, s9)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10871,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1totable) | (~node150(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1totable) | (~node150(c_s, s9))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 12.34/8.64 tff(10872,plain,
% 12.34/8.64 (~node150(c_s, s9)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10871, 10868, 10861])).
% 12.34/8.64 tff(10873,plain,
% 12.34/8.64 (((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_RRM(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_RRM(c_s, s8, c_idle)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10874,plain,
% 12.34/8.64 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | ((~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_RRM(c_s, s8, c_idle)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10875,plain,
% 12.34/8.64 ((~![I0: $i, X: $i] : ((~m_state_v_RRM(I0, X, c_counterclock)) | (~m_state_v_RRM(I0, X, c_idle)))) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | (~m_state_v_RRM(c_s, s8, c_idle))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 12.34/8.64 tff(10876,plain,
% 12.34/8.64 (~m_state_v_RRM(c_s, s8, c_idle)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10875, 2447, 10486])).
% 12.34/8.64 tff(10877,plain,
% 12.34/8.64 (^[X: $i, J0: $i] : refl((m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))))),
% 12.34/8.64 inference(bind,[status(th)],[])).
% 12.34/8.64 tff(10878,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.34/8.64 inference(quant_intro,[status(thm)],[10877])).
% 12.34/8.64 tff(10879,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10880,axiom,(![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_58')).
% 12.34/8.64 tff(10881,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 12.34/8.64 tff(10882,plain,(
% 12.34/8.64 ![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.34/8.64 inference(skolemize,[status(sab)],[10881])).
% 12.34/8.64 tff(10883,plain,
% 12.34/8.64 (![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10882, 10878])).
% 12.34/8.64 tff(10884,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10885,plain,
% 12.34/8.64 ((m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8))) <=> ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10886,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | ((~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle)))),
% 12.34/8.64 inference(monotonicity,[status(thm)],[10885])).
% 12.34/8.64 tff(10887,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle))),
% 12.34/8.64 inference(transitivity,[status(thm)],[10886, 10884])).
% 12.34/8.64 tff(10888,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (m_state_v_RRM(c_s, s8, c_idle) | (~node132(c_s, s8)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10889,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_RRM(J0, X, c_idle) | (~node132(J0, X)))) | (~node132(c_s, s8)) | m_state_v_RRM(c_s, s8, c_idle)),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 12.34/8.64 tff(10890,plain,
% 12.34/8.64 (~node132(c_s, s8)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10889, 10883, 10876])).
% 12.34/8.64 tff(10891,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10892,plain,
% 12.34/8.64 (((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend))) <=> (m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10893,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5))))),
% 12.34/8.64 inference(monotonicity,[status(thm)],[10892])).
% 12.34/8.64 tff(10894,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5)))),
% 12.34/8.64 inference(transitivity,[status(thm)],[10893, 10891])).
% 12.34/8.64 tff(10895,plain,
% 12.34/8.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s4, s5)) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10896,plain,
% 12.34/8.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s4, c_extend) | (~m_state_v_A2M(c_s, s5, c_extend)) | (~node140(c_s, s4, s5))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 12.34/8.64 tff(10897,plain,
% 12.34/8.64 (~m_state_v_A2M(c_s, s5, c_extend)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10896, 5541, 10500, 10633])).
% 12.34/8.64 tff(10898,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10899,plain,
% 12.34/8.64 (((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_extend) | (~m_state_v_A2M(c_s, s6, c_extend))) <=> ((~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10900,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_extend) | (~m_state_v_A2M(c_s, s6, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6))))),
% 12.34/8.64 inference(monotonicity,[status(thm)],[10899])).
% 12.34/8.64 tff(10901,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_extend) | (~m_state_v_A2M(c_s, s6, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6)))),
% 12.34/8.64 inference(transitivity,[status(thm)],[10900, 10898])).
% 12.34/8.64 tff(10902,plain,
% 12.34/8.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s5, s6)) | m_state_v_A2M(c_s, s5, c_extend) | (~m_state_v_A2M(c_s, s6, c_extend)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10903,plain,
% 12.34/8.64 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s6, c_extend)) | m_state_v_A2M(c_s, s5, c_extend) | (~node140(c_s, s5, s6))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10902, 10901])).
% 12.34/8.64 tff(10904,plain,
% 12.34/8.64 (~m_state_v_A2M(c_s, s6, c_extend)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10903, 5541, 10897, 10582])).
% 12.34/8.64 tff(10905,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node147(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node147(c_s, s6)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10906,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node147(c_s, s6)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10907,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node147(c_s, s6))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 12.34/8.64 tff(10908,plain,
% 12.34/8.64 (~node147(c_s, s6)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10907, 8393, 10904])).
% 12.34/8.64 tff(10909,plain,
% 12.34/8.64 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node146(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node146(c_s, s6)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10910,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node146(c_s, s6)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10911,plain,
% 12.34/8.64 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node146(c_s, s6))),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10910, 10909])).
% 12.34/8.64 tff(10912,plain,
% 12.34/8.64 (~node146(c_s, s6)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10911, 8404, 10904])).
% 12.34/8.64 tff(10913,plain,
% 12.34/8.64 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10914,plain,
% 12.34/8.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10915,plain,
% 12.34/8.64 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s6, s7)),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 12.34/8.64 tff(10916,plain,
% 12.34/8.64 (node149(c_s, s6, s7)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10915, 2729, 3295, 2095])).
% 12.34/8.64 tff(10917,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10918,plain,
% 12.34/8.64 ((node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7))) <=> (node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10919,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6)))),
% 12.34/8.64 inference(monotonicity,[status(thm)],[10918])).
% 12.34/8.64 tff(10920,plain,
% 12.34/8.64 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6))),
% 12.34/8.64 inference(transitivity,[status(thm)],[10919, 10917])).
% 12.34/8.64 tff(10921,plain,
% 12.34/8.64 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s6) | node147(c_s, s6) | node148(c_s, s6, s7) | (~node149(c_s, s6, s7)))),
% 12.34/8.64 inference(quant_inst,[status(thm)],[])).
% 12.34/8.64 tff(10922,plain,
% 12.34/8.64 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node148(c_s, s6, s7) | node147(c_s, s6) | (~node149(c_s, s6, s7)) | node146(c_s, s6)),
% 12.34/8.64 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 12.34/8.64 tff(10923,plain,
% 12.34/8.64 (node148(c_s, s6, s7) | node147(c_s, s6) | node146(c_s, s6)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10922, 3331, 10916])).
% 12.34/8.64 tff(10924,plain,
% 12.34/8.64 (node148(c_s, s6, s7)),
% 12.34/8.64 inference(unit_resolution,[status(thm)],[10923, 10912, 10908])).
% 12.34/8.64 tff(10925,plain,
% 12.34/8.64 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10926,plain,
% 12.34/8.64 (((~node148(c_s, s6, s7)) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on))) <=> (m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7)))),
% 12.34/8.64 inference(rewrite,[status(thm)],[])).
% 12.34/8.64 tff(10927,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s6, s7)) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10926])).
% 12.34/8.65 tff(10928,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s6, s7)) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10927, 10925])).
% 12.34/8.65 tff(10929,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s6, s7)) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10930,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~m_state_v_A2Mag(c_s, s7, c_on)) | (~node148(c_s, s6, s7))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 12.34/8.65 tff(10931,plain,
% 12.34/8.65 (~m_state_v_A2Mag(c_s, s7, c_on)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10930, 5430, 10682, 10924])).
% 12.34/8.65 tff(10932,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10933,plain,
% 12.34/8.65 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10934,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10933])).
% 12.34/8.65 tff(10935,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10934, 10932])).
% 12.34/8.65 tff(10936,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10937,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2todepbelt))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10936, 10935])).
% 12.34/8.65 tff(10938,plain,
% 12.34/8.65 (~m_state_v_angle(c_s, s6, c_arm2todepbelt)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10937, 2567, 9854, 9476])).
% 12.34/8.65 tff(10939,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10940,plain,
% 12.34/8.65 (((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt))) <=> (m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10941,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10940])).
% 12.34/8.65 tff(10942,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10941, 10939])).
% 12.34/8.65 tff(10943,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10944,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2todepbelt) | (~m_state_v_angle(c_s, s7, c_arm2todepbelt)) | (~node41(c_s, s6, s7))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 12.34/8.65 tff(10945,plain,
% 12.34/8.65 (~m_state_v_angle(c_s, s7, c_arm2todepbelt)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10944, 2567, 10938, 10193])).
% 12.34/8.65 tff(10946,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10947,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10948,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node147(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node147(c_s, s7))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 12.34/8.65 tff(10949,plain,
% 12.34/8.65 (~node147(c_s, s7)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10948, 3317, 10945])).
% 12.34/8.65 tff(10950,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10951,plain,
% 12.34/8.65 (((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress))) <=> (m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10952,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10951])).
% 12.34/8.65 tff(10953,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10952, 10950])).
% 12.34/8.65 tff(10954,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s5, s6)) | m_state_v_angle(c_s, s5, c_arm2topress) | (~m_state_v_angle(c_s, s6, c_arm2topress)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10955,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s5, c_arm2topress) | (~node41(c_s, s5, s6)) | (~m_state_v_angle(c_s, s6, c_arm2topress))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 12.34/8.65 tff(10956,plain,
% 12.34/8.65 (~m_state_v_angle(c_s, s6, c_arm2topress)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10955, 2567, 9854, 9838])).
% 12.34/8.65 tff(10957,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10958,plain,
% 12.34/8.65 (((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress))) <=> (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10959,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10958])).
% 12.34/8.65 tff(10960,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10959, 10957])).
% 12.34/8.65 tff(10961,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10962,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~m_state_v_angle(c_s, s7, c_arm2topress)) | (~node41(c_s, s6, s7))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 12.34/8.65 tff(10963,plain,
% 12.34/8.65 (~m_state_v_angle(c_s, s7, c_arm2topress)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10962, 2567, 10956, 10193])).
% 12.34/8.65 tff(10964,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node146(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node146(c_s, s7)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10965,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node146(c_s, s7)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10966,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node146(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node146(c_s, s7))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 12.34/8.65 tff(10967,plain,
% 12.34/8.65 (~node146(c_s, s7)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10966, 3306, 10963])).
% 12.34/8.65 tff(10968,plain,
% 12.34/8.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10969,plain,
% 12.34/8.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10970,plain,
% 12.34/8.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s7, s8)),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10969, 10968])).
% 12.34/8.65 tff(10971,plain,
% 12.34/8.65 (node149(c_s, s7, s8)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10970, 2729, 3295, 4830])).
% 12.34/8.65 tff(10972,plain,
% 12.34/8.65 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10973,plain,
% 12.34/8.65 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10974,plain,
% 12.34/8.65 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8) | (~node149(c_s, s7, s8))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 12.34/8.65 tff(10975,plain,
% 12.34/8.65 (node146(c_s, s7) | node147(c_s, s7) | node148(c_s, s7, s8)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10974, 3331, 10971])).
% 12.34/8.65 tff(10976,plain,
% 12.34/8.65 (node148(c_s, s7, s8)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10975, 10967, 10949])).
% 12.34/8.65 tff(10977,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10978,plain,
% 12.34/8.65 (((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on))) <=> (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10979,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | (m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8))))),
% 12.34/8.65 inference(monotonicity,[status(thm)],[10978])).
% 12.34/8.65 tff(10980,plain,
% 12.34/8.65 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8)))),
% 12.34/8.65 inference(transitivity,[status(thm)],[10979, 10977])).
% 12.34/8.65 tff(10981,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | ((~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10982,plain,
% 12.34/8.65 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | m_state_v_A2Mag(J0, X, V) | (~m_state_v_A2Mag(J0, Y, V)))) | m_state_v_A2Mag(c_s, s7, c_on) | (~m_state_v_A2Mag(c_s, s8, c_on)) | (~node148(c_s, s7, s8))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10981, 10980])).
% 12.34/8.65 tff(10983,plain,
% 12.34/8.65 (~m_state_v_A2Mag(c_s, s8, c_on)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10982, 5430, 10976, 10931])).
% 12.34/8.65 tff(10984,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s8, c_on) | (~node136(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s8, c_on) | (~node136(c_s, s8)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10985,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s8, c_on) | (~node136(c_s, s8)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10986,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s8, c_on) | (~node136(c_s, s8))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10985, 10984])).
% 12.34/8.65 tff(10987,plain,
% 12.34/8.65 (~node136(c_s, s8)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10986, 8496, 10983])).
% 12.34/8.65 tff(10988,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10989,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10990,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node139(c_s, s6))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 12.34/8.65 tff(10991,plain,
% 12.34/8.65 (~node139(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10990, 8449, 10647])).
% 12.34/8.65 tff(10992,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10993,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10994,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s6)) | m_state_v_A2Mag(c_s, s6, c_on)),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10993, 10992])).
% 12.34/8.65 tff(10995,plain,
% 12.34/8.65 (~node133(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10994, 8463, 10682])).
% 12.34/8.65 tff(10996,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node135(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node135(c_s, s6)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(10997,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node135(c_s, s6)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(10998,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node135(c_s, s6))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 12.34/8.65 tff(10999,plain,
% 12.34/8.65 (~node135(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[10998, 8438, 10904])).
% 12.34/8.65 tff(11000,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~node132(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~node132(c_s, s6)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11001,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm2topress) | (~node132(c_s, s6)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11002,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s6, c_arm2topress) | (~node132(c_s, s6))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 12.34/8.65 tff(11003,plain,
% 12.34/8.65 (~node132(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11002, 3170, 10956])).
% 12.34/8.65 tff(11004,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node134(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node134(c_s, s6)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11005,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node134(c_s, s6)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11006,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node134(c_s, s6))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 12.34/8.65 tff(11007,plain,
% 12.34/8.65 (~node134(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11006, 8507, 10904])).
% 12.34/8.65 tff(11008,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11009,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | (m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11010,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node136(J0, X)))) | m_state_v_A2Mag(c_s, s6, c_on) | (~node136(c_s, s6))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 12.34/8.65 tff(11011,plain,
% 12.34/8.65 (~node136(c_s, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11010, 8496, 10682])).
% 12.34/8.65 tff(11012,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node34(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node34(c_s, s5)))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11013,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node34(c_s, s5)))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11014,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s5, c_arm2todepbelt) | (~node34(c_s, s5))),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 12.34/8.65 tff(11015,plain,
% 12.34/8.65 (~node34(c_s, s5)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11014, 3604, 9476])).
% 12.34/8.65 tff(11016,plain,
% 12.34/8.65 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm2topress))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11017,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm2topress))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11018,plain,
% 12.34/8.65 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s5)) | m_state_v_angle(c_s, s5, c_arm2topress)),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 12.34/8.65 tff(11019,plain,
% 12.34/8.65 (~node33(c_s, s5)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11018, 3593, 9838])).
% 12.34/8.65 tff(11020,plain,
% 12.34/8.65 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))),
% 12.34/8.65 inference(rewrite,[status(thm)],[])).
% 12.34/8.65 tff(11021,plain,
% 12.34/8.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6))),
% 12.34/8.65 inference(quant_inst,[status(thm)],[])).
% 12.34/8.65 tff(11022,plain,
% 12.34/8.65 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s5, s6)),
% 12.34/8.65 inference(modus_ponens,[status(thm)],[11021, 11020])).
% 12.34/8.65 tff(11023,plain,
% 12.34/8.65 (node36(c_s, s5, s6)),
% 12.34/8.65 inference(unit_resolution,[status(thm)],[11022, 62, 3579, 14])).
% 12.34/8.65 tff(11024,plain,
% 12.34/8.65 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11025,plain,
% 12.34/8.66 ((m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6))) <=> (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11026,plain,
% 12.34/8.66 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6)))),
% 12.34/8.66 inference(monotonicity,[status(thm)],[11025])).
% 12.34/8.66 tff(11027,plain,
% 12.34/8.66 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6))),
% 12.34/8.66 inference(transitivity,[status(thm)],[11026, 11024])).
% 12.34/8.66 tff(11028,plain,
% 12.34/8.66 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s5, c_retract) | node34(c_s, s5) | node33(c_s, s5) | node35(c_s, s5, s6) | (~node36(c_s, s5, s6)))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11029,plain,
% 12.34/8.66 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | (~node36(c_s, s5, s6)) | node35(c_s, s5, s6)),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 12.34/8.66 tff(11030,plain,
% 12.34/8.66 (m_state_v_A2M(c_s, s5, c_retract) | node33(c_s, s5) | node34(c_s, s5) | node35(c_s, s5, s6)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11029, 3629, 11023])).
% 12.34/8.66 tff(11031,plain,
% 12.34/8.66 (node35(c_s, s5, s6)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11030, 11019, 11015, 10640])).
% 12.34/8.66 tff(11032,plain,
% 12.34/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6)))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11033,plain,
% 12.34/8.66 (((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob))) <=> (m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6)))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11034,plain,
% 12.34/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6))))),
% 12.34/8.66 inference(monotonicity,[status(thm)],[11033])).
% 12.34/8.66 tff(11035,plain,
% 12.34/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6)))),
% 12.34/8.66 inference(transitivity,[status(thm)],[11034, 11032])).
% 12.34/8.66 tff(11036,plain,
% 12.34/8.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s5, s6)) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11037,plain,
% 12.34/8.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s5, c_ob) | (~m_state_v_a2ext(c_s, s6, c_ob)) | (~node35(c_s, s5, s6))),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 12.34/8.66 tff(11038,plain,
% 12.34/8.66 (~m_state_v_a2ext(c_s, s6, c_ob)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11037, 5294, 10527, 11031])).
% 12.34/8.66 tff(11039,plain,
% 12.34/8.66 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11040,plain,
% 12.34/8.66 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6)))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11041,plain,
% 12.34/8.66 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s6, c_ob) | (~node137(c_s, s6))),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 12.34/8.66 tff(11042,plain,
% 12.34/8.66 (~node137(c_s, s6)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11041, 5345, 11038])).
% 12.34/8.66 tff(11043,plain,
% 12.34/8.66 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11044,plain,
% 12.34/8.66 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6)))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11045,plain,
% 12.34/8.66 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s6, c_retract) | (~node138(c_s, s6))),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 12.34/8.66 tff(11046,plain,
% 12.34/8.66 (~node138(c_s, s6)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11045, 8485, 10647])).
% 12.34/8.66 tff(11047,plain,
% 12.34/8.66 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11048,plain,
% 12.34/8.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11049,plain,
% 12.34/8.66 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s6, s7)),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 12.34/8.66 tff(11050,plain,
% 12.34/8.66 (node141(c_s, s6, s7)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11049, 2729, 3159, 2095])).
% 12.34/8.66 tff(11051,plain,
% 12.34/8.66 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11052,plain,
% 12.34/8.66 ((node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7))) <=> (node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7))),
% 12.34/8.66 inference(rewrite,[status(thm)],[])).
% 12.34/8.66 tff(11053,plain,
% 12.34/8.66 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7)))),
% 12.34/8.66 inference(monotonicity,[status(thm)],[11052])).
% 12.34/8.66 tff(11054,plain,
% 12.34/8.66 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7))),
% 12.34/8.66 inference(transitivity,[status(thm)],[11053, 11051])).
% 12.34/8.66 tff(11055,plain,
% 12.34/8.66 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s6) | node133(c_s, s6) | node134(c_s, s6) | node135(c_s, s6) | node136(c_s, s6) | node137(c_s, s6) | node138(c_s, s6) | node139(c_s, s6) | node140(c_s, s6, s7) | (~node141(c_s, s6, s7)))),
% 12.34/8.66 inference(quant_inst,[status(thm)],[])).
% 12.34/8.66 tff(11056,plain,
% 12.34/8.66 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | (~node141(c_s, s6, s7)) | node140(c_s, s6, s7)),
% 12.34/8.66 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 12.34/8.66 tff(11057,plain,
% 12.34/8.66 (node137(c_s, s6) | node132(c_s, s6) | node138(c_s, s6) | node136(c_s, s6) | node134(c_s, s6) | node139(c_s, s6) | node135(c_s, s6) | node133(c_s, s6) | node140(c_s, s6, s7)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11056, 3261, 11050])).
% 12.34/8.66 tff(11058,plain,
% 12.34/8.66 (node140(c_s, s6, s7)),
% 12.34/8.66 inference(unit_resolution,[status(thm)],[11057, 11046, 11042, 11011, 11007, 11003, 10999, 10995, 10991])).
% 12.41/8.66 tff(11059,plain,
% 12.41/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11060,plain,
% 12.41/8.66 (((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract))) <=> (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11061,plain,
% 12.41/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7))))),
% 12.41/8.66 inference(monotonicity,[status(thm)],[11060])).
% 12.41/8.66 tff(11062,plain,
% 12.41/8.66 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7)))),
% 12.41/8.66 inference(transitivity,[status(thm)],[11061, 11059])).
% 12.41/8.66 tff(11063,plain,
% 12.41/8.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11064,plain,
% 12.41/8.66 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s6, c_retract) | (~m_state_v_A2M(c_s, s7, c_retract)) | (~node140(c_s, s6, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 12.41/8.66 tff(11065,plain,
% 12.41/8.66 (~m_state_v_A2M(c_s, s7, c_retract)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11064, 5541, 10647, 11058])).
% 12.41/8.66 tff(11066,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node133(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node133(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11067,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node133(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11068,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node133(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node133(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 12.41/8.66 tff(11069,plain,
% 12.41/8.66 (~node133(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11068, 3214, 10945])).
% 12.41/8.66 tff(11070,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11071,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11072,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node137(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node137(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 12.41/8.66 tff(11073,plain,
% 12.41/8.66 (~node137(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11072, 3236, 10945])).
% 12.41/8.66 tff(11074,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11075,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11076,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node135(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node135(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11075, 11074])).
% 12.41/8.66 tff(11077,plain,
% 12.41/8.66 (~node135(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11076, 3225, 10945])).
% 12.41/8.66 tff(11078,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node138(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node138(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11079,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node138(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11080,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node138(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node138(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11079, 11078])).
% 12.41/8.66 tff(11081,plain,
% 12.41/8.66 (~node138(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11080, 3203, 10963])).
% 12.41/8.66 tff(11082,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node139(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node139(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11083,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node139(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11084,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node139(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node139(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11083, 11082])).
% 12.41/8.66 tff(11085,plain,
% 12.41/8.66 (~node139(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11084, 3247, 10945])).
% 12.41/8.66 tff(11086,plain,
% 12.41/8.66 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))),
% 12.41/8.66 inference(rewrite,[status(thm)],[])).
% 12.41/8.66 tff(11087,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7)))),
% 12.41/8.66 inference(quant_inst,[status(thm)],[])).
% 12.41/8.66 tff(11088,plain,
% 12.41/8.66 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node132(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node132(c_s, s7))),
% 12.41/8.66 inference(modus_ponens,[status(thm)],[11087, 11086])).
% 12.41/8.66 tff(11089,plain,
% 12.41/8.66 (~node132(c_s, s7)),
% 12.41/8.66 inference(unit_resolution,[status(thm)],[11088, 3170, 10963])).
% 12.41/8.67 tff(11090,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node136(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node136(c_s, s7)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11091,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node136(c_s, s7)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11092,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node136(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node136(c_s, s7))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 12.41/8.67 tff(11093,plain,
% 12.41/8.67 (~node136(c_s, s7)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11092, 3192, 10963])).
% 12.41/8.67 tff(11094,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node134(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node134(c_s, s7)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11095,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~node134(c_s, s7)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11096,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node134(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~node134(c_s, s7))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11095, 11094])).
% 12.41/8.67 tff(11097,plain,
% 12.41/8.67 (~node134(c_s, s7)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11096, 3181, 10963])).
% 12.41/8.67 tff(11098,plain,
% 12.41/8.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11099,plain,
% 12.41/8.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11100,plain,
% 12.41/8.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s7, s8)),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11099, 11098])).
% 12.41/8.67 tff(11101,plain,
% 12.41/8.67 (node141(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11100, 2729, 3159, 4830])).
% 12.41/8.67 tff(11102,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11103,plain,
% 12.41/8.67 ((node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))) <=> (node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11104,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))))),
% 12.41/8.67 inference(monotonicity,[status(thm)],[11103])).
% 12.41/8.67 tff(11105,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.41/8.67 inference(transitivity,[status(thm)],[11104, 11102])).
% 12.41/8.67 tff(11106,plain,
% 12.41/8.67 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s7) | node133(c_s, s7) | node134(c_s, s7) | node135(c_s, s7) | node136(c_s, s7) | node137(c_s, s7) | node138(c_s, s7) | node139(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11107,plain,
% 12.41/8.67 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8) | (~node141(c_s, s7, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 12.41/8.67 tff(11108,plain,
% 12.41/8.67 (node133(c_s, s7) | node132(c_s, s7) | node139(c_s, s7) | node137(c_s, s7) | node135(c_s, s7) | node138(c_s, s7) | node136(c_s, s7) | node134(c_s, s7) | node140(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11107, 3261, 11101])).
% 12.41/8.67 tff(11109,plain,
% 12.41/8.67 (node140(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11108, 11097, 11093, 11089, 11085, 11081, 11077, 11073, 11069])).
% 12.41/8.67 tff(11110,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11111,plain,
% 12.41/8.67 (((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract))) <=> (m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11112,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8))))),
% 12.41/8.67 inference(monotonicity,[status(thm)],[11111])).
% 12.41/8.67 tff(11113,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8)))),
% 12.41/8.67 inference(transitivity,[status(thm)],[11112, 11110])).
% 12.41/8.67 tff(11114,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11115,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 12.41/8.67 tff(11116,plain,
% 12.41/8.67 (m_state_v_A2M(c_s, s7, c_retract) | (~m_state_v_A2M(c_s, s8, c_retract)) | (~node140(c_s, s7, s8))),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11115, 5541])).
% 12.41/8.67 tff(11117,plain,
% 12.41/8.67 (~m_state_v_A2M(c_s, s8, c_retract)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11116, 11109, 11065])).
% 12.41/8.67 tff(11118,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11119,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11120,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node138(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node138(c_s, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11119, 11118])).
% 12.41/8.67 tff(11121,plain,
% 12.41/8.67 (~node138(c_s, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11120, 8485, 11117])).
% 12.41/8.67 tff(11122,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11123,plain,
% 12.41/8.67 (((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2M(c_s, s7, c_extend))) <=> ((~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11124,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2M(c_s, s7, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7))))),
% 12.41/8.67 inference(monotonicity,[status(thm)],[11123])).
% 12.41/8.67 tff(11125,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2M(c_s, s7, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7)))),
% 12.41/8.67 inference(transitivity,[status(thm)],[11124, 11122])).
% 12.41/8.67 tff(11126,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s6, s7)) | m_state_v_A2M(c_s, s6, c_extend) | (~m_state_v_A2M(c_s, s7, c_extend)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11127,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (~m_state_v_A2M(c_s, s7, c_extend)) | m_state_v_A2M(c_s, s6, c_extend) | (~node140(c_s, s6, s7))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 12.41/8.67 tff(11128,plain,
% 12.41/8.67 (~m_state_v_A2M(c_s, s7, c_extend)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11127, 5541, 10904, 11058])).
% 12.41/8.67 tff(11129,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11130,plain,
% 12.41/8.67 (((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_extend) | (~m_state_v_A2M(c_s, s8, c_extend))) <=> (m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11131,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_extend) | (~m_state_v_A2M(c_s, s8, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend))))),
% 12.41/8.67 inference(monotonicity,[status(thm)],[11130])).
% 12.41/8.67 tff(11132,plain,
% 12.41/8.67 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_extend) | (~m_state_v_A2M(c_s, s8, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend)))),
% 12.41/8.67 inference(transitivity,[status(thm)],[11131, 11129])).
% 12.41/8.67 tff(11133,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s7, s8)) | m_state_v_A2M(c_s, s7, c_extend) | (~m_state_v_A2M(c_s, s8, c_extend)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11134,plain,
% 12.41/8.67 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s7, c_extend) | (~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s8, c_extend))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 12.41/8.67 tff(11135,plain,
% 12.41/8.67 (~m_state_v_A2M(c_s, s8, c_extend)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11134, 5541, 11128, 11109])).
% 12.41/8.67 tff(11136,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node135(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node135(c_s, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11137,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node135(c_s, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11138,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node135(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node135(c_s, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 12.41/8.67 tff(11139,plain,
% 12.41/8.67 (~node135(c_s, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11138, 8438, 11135])).
% 12.41/8.67 tff(11140,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node134(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node134(c_s, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11141,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node134(c_s, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11142,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node134(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node134(c_s, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11141, 11140])).
% 12.41/8.67 tff(11143,plain,
% 12.41/8.67 (~node134(c_s, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11142, 8507, 11135])).
% 12.41/8.67 tff(11144,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11145,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11146,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node139(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node139(c_s, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 12.41/8.67 tff(11147,plain,
% 12.41/8.67 (~node139(c_s, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11146, 8449, 11117])).
% 12.41/8.67 tff(11148,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11149,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11150,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node34(J0, X)))) | m_state_v_angle(c_s, s7, c_arm2todepbelt) | (~node34(c_s, s7))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 12.41/8.67 tff(11151,plain,
% 12.41/8.67 (~node34(c_s, s7)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11150, 3604, 10945])).
% 12.41/8.67 tff(11152,plain,
% 12.41/8.67 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm2topress))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm2topress))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11153,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | ((~node33(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm2topress))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11154,plain,
% 12.41/8.67 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_angle(J0, X, c_arm2topress))) | (~node33(c_s, s7)) | m_state_v_angle(c_s, s7, c_arm2topress)),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 12.41/8.67 tff(11155,plain,
% 12.41/8.67 (~node33(c_s, s7)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11154, 3593, 10963])).
% 12.41/8.67 tff(11156,plain,
% 12.41/8.67 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11157,plain,
% 12.41/8.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11158,plain,
% 12.41/8.67 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s7, s8)),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11157, 11156])).
% 12.41/8.67 tff(11159,plain,
% 12.41/8.67 (node36(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11158, 62, 3579, 4830])).
% 12.41/8.67 tff(11160,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11161,plain,
% 12.41/8.67 ((m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))) <=> (node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.41/8.67 inference(rewrite,[status(thm)],[])).
% 12.41/8.67 tff(11162,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))))),
% 12.41/8.67 inference(monotonicity,[status(thm)],[11161])).
% 12.41/8.67 tff(11163,plain,
% 12.41/8.67 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.41/8.67 inference(transitivity,[status(thm)],[11162, 11160])).
% 12.41/8.67 tff(11164,plain,
% 12.41/8.67 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s7, c_retract) | node34(c_s, s7) | node33(c_s, s7) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8)))),
% 12.41/8.67 inference(quant_inst,[status(thm)],[])).
% 12.41/8.67 tff(11165,plain,
% 12.41/8.67 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8) | (~node36(c_s, s7, s8))),
% 12.41/8.67 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 12.41/8.67 tff(11166,plain,
% 12.41/8.67 (node34(c_s, s7) | node33(c_s, s7) | m_state_v_A2M(c_s, s7, c_retract) | node35(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11165, 3629, 11159])).
% 12.41/8.67 tff(11167,plain,
% 12.41/8.67 (node35(c_s, s7, s8)),
% 12.41/8.67 inference(unit_resolution,[status(thm)],[11166, 11155, 11065, 11151])).
% 12.41/8.68 tff(11168,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node34(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node34(c_s, s6)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11169,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s6, c_extend) | (~node34(c_s, s6)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11170,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s6, c_extend) | (~node34(c_s, s6))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 12.41/8.68 tff(11171,plain,
% 12.41/8.68 (~node34(c_s, s6)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11170, 9616, 10904])).
% 12.41/8.68 tff(11172,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s6)) | m_state_v_A2M(c_s, s6, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s6)) | m_state_v_A2M(c_s, s6, c_extend))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11173,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s6)) | m_state_v_A2M(c_s, s6, c_extend))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11174,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s6)) | m_state_v_A2M(c_s, s6, c_extend)),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 12.41/8.68 tff(11175,plain,
% 12.41/8.68 (~node33(c_s, s6)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11174, 9605, 10904])).
% 12.41/8.68 tff(11176,plain,
% 12.41/8.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11177,plain,
% 12.41/8.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11178,plain,
% 12.41/8.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s6, s7)),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 12.41/8.68 tff(11179,plain,
% 12.41/8.68 (node36(c_s, s6, s7)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11178, 62, 3579, 2095])).
% 12.41/8.68 tff(11180,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11181,plain,
% 12.41/8.68 ((m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7))) <=> (m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11182,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7))))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11181])).
% 12.41/8.68 tff(11183,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11182, 11180])).
% 12.41/8.68 tff(11184,plain,
% 12.41/8.68 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s6, c_retract) | node34(c_s, s6) | node33(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11185,plain,
% 12.41/8.68 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7) | (~node36(c_s, s6, s7))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11184, 11183])).
% 12.41/8.68 tff(11186,plain,
% 12.41/8.68 (m_state_v_A2M(c_s, s6, c_retract) | node33(c_s, s6) | node34(c_s, s6) | node35(c_s, s6, s7)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11185, 3629, 11179])).
% 12.41/8.68 tff(11187,plain,
% 12.41/8.68 (node35(c_s, s6, s7)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11186, 11175, 10647, 11171])).
% 12.41/8.68 tff(11188,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11189,plain,
% 12.41/8.68 (((~node35(c_s, s6, s7)) | m_state_v_a2ext(c_s, s6, c_ob) | (~m_state_v_a2ext(c_s, s7, c_ob))) <=> ((~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11190,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s6, s7)) | m_state_v_a2ext(c_s, s6, c_ob) | (~m_state_v_a2ext(c_s, s7, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7))))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11189])).
% 12.41/8.68 tff(11191,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s6, s7)) | m_state_v_a2ext(c_s, s6, c_ob) | (~m_state_v_a2ext(c_s, s7, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7)))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11190, 11188])).
% 12.41/8.68 tff(11192,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s6, s7)) | m_state_v_a2ext(c_s, s6, c_ob) | (~m_state_v_a2ext(c_s, s7, c_ob)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11193,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (~m_state_v_a2ext(c_s, s7, c_ob)) | m_state_v_a2ext(c_s, s6, c_ob) | (~node35(c_s, s6, s7))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 12.41/8.68 tff(11194,plain,
% 12.41/8.68 (~m_state_v_a2ext(c_s, s7, c_ob)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11193, 5294, 11038, 11187])).
% 12.41/8.68 tff(11195,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11196,plain,
% 12.41/8.68 (((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob))) <=> (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11197,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | (m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8))))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11196])).
% 12.41/8.68 tff(11198,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8)))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11197, 11195])).
% 12.41/8.68 tff(11199,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | ((~node35(c_s, s7, s8)) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11200,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | m_state_v_a2ext(J0, X, V) | (~m_state_v_a2ext(J0, Y, V)))) | m_state_v_a2ext(c_s, s7, c_ob) | (~m_state_v_a2ext(c_s, s8, c_ob)) | (~node35(c_s, s7, s8))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 12.41/8.68 tff(11201,plain,
% 12.41/8.68 (~m_state_v_a2ext(c_s, s8, c_ob)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11200, 5294, 11194, 11167])).
% 12.41/8.68 tff(11202,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11203,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | (m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11204,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_a2ext(J0, X, c_ob) | (~node137(J0, X)))) | m_state_v_a2ext(c_s, s8, c_ob) | (~node137(c_s, s8))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 12.41/8.68 tff(11205,plain,
% 12.41/8.68 (~node137(c_s, s8)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11204, 5345, 11201])).
% 12.41/8.68 tff(11206,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))) <=> ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11207,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | ((~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11208,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : ((~node133(J0, X)) | m_state_v_A2Mag(J0, X, c_on))) | (~node133(c_s, s8)) | m_state_v_A2Mag(c_s, s8, c_on)),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 12.41/8.68 tff(11209,plain,
% 12.41/8.68 (~node133(c_s, s8)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11208, 8463, 10983])).
% 12.41/8.68 tff(11210,plain,
% 12.41/8.68 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11211,plain,
% 12.41/8.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11212,plain,
% 12.41/8.68 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node141(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node141(c_s, s8, s9)),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 12.41/8.68 tff(11213,plain,
% 12.41/8.68 (node141(c_s, s8, s9)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11212, 2729, 3159, 4962])).
% 12.41/8.68 tff(11214,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11215,plain,
% 12.41/8.68 ((node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9))) <=> (node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11216,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8)))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11215])).
% 12.41/8.68 tff(11217,plain,
% 12.41/8.68 (((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11216, 11214])).
% 12.41/8.68 tff(11218,plain,
% 12.41/8.68 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | (node132(c_s, s8) | node133(c_s, s8) | node134(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node137(c_s, s8) | node138(c_s, s8) | node139(c_s, s8) | node140(c_s, s8, s9) | (~node141(c_s, s8, s9)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11219,plain,
% 12.41/8.68 ((~![Y: $i, X: $i, J0: $i] : (node132(J0, X) | node133(J0, X) | node134(J0, X) | node135(J0, X) | node136(J0, X) | node137(J0, X) | node138(J0, X) | node139(J0, X) | node140(J0, X, Y) | (~node141(J0, X, Y)))) | node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | (~node141(c_s, s8, s9)) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8)),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 12.41/8.68 tff(11220,plain,
% 12.41/8.68 (node133(c_s, s8) | node132(c_s, s8) | node137(c_s, s8) | node140(c_s, s8, s9) | node139(c_s, s8) | node138(c_s, s8) | node135(c_s, s8) | node136(c_s, s8) | node134(c_s, s8)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11219, 3261, 11213])).
% 12.41/8.68 tff(11221,plain,
% 12.41/8.68 (node132(c_s, s8) | node140(c_s, s8, s9)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11220, 11209, 11205, 11147, 11143, 11139, 11121, 10987])).
% 12.41/8.68 tff(11222,plain,
% 12.41/8.68 (node140(c_s, s8, s9)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11221, 10890])).
% 12.41/8.68 tff(11223,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11224,plain,
% 12.41/8.68 (((~node140(c_s, s8, s9)) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract))) <=> (m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11225,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s8, s9)) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9))))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11224])).
% 12.41/8.68 tff(11226,plain,
% 12.41/8.68 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s8, s9)) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9)))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11225, 11223])).
% 12.41/8.68 tff(11227,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | ((~node140(c_s, s8, s9)) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11228,plain,
% 12.41/8.68 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | m_state_v_A2M(J0, X, V) | (~m_state_v_A2M(J0, Y, V)))) | m_state_v_A2M(c_s, s8, c_retract) | (~m_state_v_A2M(c_s, s9, c_retract)) | (~node140(c_s, s8, s9))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 12.41/8.68 tff(11229,plain,
% 12.41/8.68 (~m_state_v_A2M(c_s, s9, c_retract)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11228, 5541, 11117, 11222])).
% 12.41/8.68 tff(11230,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s9, c_retract) | (~node151(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s9, c_retract) | (~node151(c_s, s9)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11231,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s9, c_retract) | (~node151(c_s, s9)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11232,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s9, c_retract) | (~node151(c_s, s9))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 12.41/8.68 tff(11233,plain,
% 12.41/8.68 (~node151(c_s, s9)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11232, 6993, 11229])).
% 12.41/8.68 tff(11234,plain,
% 12.41/8.68 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))))),
% 12.41/8.68 inference(bind,[status(th)],[])).
% 12.41/8.68 tff(11235,plain,
% 12.41/8.68 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 12.41/8.68 inference(quant_intro,[status(thm)],[11234])).
% 12.41/8.68 tff(11236,plain,
% 12.41/8.68 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11237,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_55')).
% 12.41/8.68 tff(11238,plain,
% 12.41/8.68 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11237, 11236])).
% 12.41/8.68 tff(11239,plain,(
% 12.41/8.68 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 12.41/8.68 inference(skolemize,[status(sab)],[11238])).
% 12.41/8.68 tff(11240,plain,
% 12.41/8.68 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11239, 11235])).
% 12.41/8.68 tff(11241,plain,
% 12.41/8.68 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11242,plain,
% 12.41/8.68 (((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt))) <=> ((~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11243,plain,
% 12.41/8.68 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress))))),
% 12.41/8.68 inference(monotonicity,[status(thm)],[11242])).
% 12.41/8.68 tff(11244,plain,
% 12.41/8.68 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.68 inference(transitivity,[status(thm)],[11243, 11241])).
% 12.41/8.68 tff(11245,plain,
% 12.41/8.68 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11246,plain,
% 12.41/8.68 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm2todepbelt)))) | (~m_state_v_angle(c_s, s9, c_arm2todepbelt)) | (~m_state_v_angle(c_s, s9, c_arm2topress))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11245, 11244])).
% 12.41/8.68 tff(11247,plain,
% 12.41/8.68 (~m_state_v_angle(c_s, s9, c_arm2todepbelt)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11246, 11240, 10857])).
% 12.41/8.68 tff(11248,plain,
% 12.41/8.68 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm2todepbelt) | (~node152(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s9, c_arm2todepbelt) | (~node152(c_s, s9)))),
% 12.41/8.68 inference(rewrite,[status(thm)],[])).
% 12.41/8.68 tff(11249,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm2todepbelt) | (~node152(c_s, s9)))),
% 12.41/8.68 inference(quant_inst,[status(thm)],[])).
% 12.41/8.68 tff(11250,plain,
% 12.41/8.68 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2todepbelt) | (~node152(J0, X)))) | m_state_v_angle(c_s, s9, c_arm2todepbelt) | (~node152(c_s, s9))),
% 12.41/8.68 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 12.41/8.68 tff(11251,plain,
% 12.41/8.68 (~node152(c_s, s9)),
% 12.41/8.68 inference(unit_resolution,[status(thm)],[11250, 3420, 11247])).
% 12.41/8.69 tff(11252,plain,
% 12.41/8.69 (^[I0: $i, X: $i] : refl(((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))))),
% 12.41/8.69 inference(bind,[status(th)],[])).
% 12.41/8.69 tff(11253,plain,
% 12.41/8.69 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 12.41/8.69 inference(quant_intro,[status(thm)],[11252])).
% 12.41/8.69 tff(11254,plain,
% 12.41/8.69 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress))) <=> ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11255,axiom,(![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_56')).
% 12.41/8.69 tff(11256,plain,
% 12.41/8.69 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 12.41/8.69 tff(11257,plain,(
% 12.41/8.69 ![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 12.41/8.69 inference(skolemize,[status(sab)],[11256])).
% 12.41/8.69 tff(11258,plain,
% 12.41/8.69 (![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11257, 11253])).
% 12.41/8.69 tff(11259,plain,
% 12.41/8.69 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11260,plain,
% 12.41/8.69 (((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress))) <=> ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11261,plain,
% 12.41/8.69 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress))))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11260])).
% 12.41/8.69 tff(11262,plain,
% 12.41/8.69 (((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress)))),
% 12.41/8.69 inference(transitivity,[status(thm)],[11261, 11259])).
% 12.41/8.69 tff(11263,plain,
% 12.41/8.69 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | ((~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_angle(c_s, s9, c_arm1topress)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11264,plain,
% 12.41/8.69 ((~![I0: $i, X: $i] : ((~m_state_v_angle(I0, X, c_arm2topress)) | (~m_state_v_angle(I0, X, c_arm1topress)))) | (~m_state_v_angle(c_s, s9, c_arm1topress)) | (~m_state_v_angle(c_s, s9, c_arm2topress))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 12.41/8.69 tff(11265,plain,
% 12.41/8.69 (~m_state_v_angle(c_s, s9, c_arm1topress)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11264, 11258, 10857])).
% 12.41/8.69 tff(11266,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1topress) | (~node153(c_s, s9)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1topress) | (~node153(c_s, s9)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11267,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | (m_state_v_angle(c_s, s9, c_arm1topress) | (~node153(c_s, s9)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11268,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node153(J0, X)))) | m_state_v_angle(c_s, s9, c_arm1topress) | (~node153(c_s, s9))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11267, 11266])).
% 12.41/8.69 tff(11269,plain,
% 12.41/8.69 (~node153(c_s, s9)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11268, 5176, 11265])).
% 12.41/8.69 tff(11270,plain,
% 12.41/8.69 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11271,plain,
% 12.41/8.69 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11272,plain,
% 12.41/8.69 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s7, c_ot)) | (~m_state_v_a1ext(c_s, s7, c_retracted))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 12.41/8.69 tff(11273,plain,
% 12.41/8.69 (~m_state_v_a1ext(c_s, s7, c_ot)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11272, 2652, 10232])).
% 12.41/8.69 tff(11274,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))) <=> ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11275,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | ((~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11276,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : ((~node124(J0, X)) | m_state_v_a1ext(J0, X, c_ot))) | (~node124(c_s, s7)) | m_state_v_a1ext(c_s, s7, c_ot)),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 12.41/8.69 tff(11277,plain,
% 12.41/8.69 (~node124(c_s, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11276, 3121, 11273])).
% 12.41/8.69 tff(11278,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11279,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11280,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node126(c_s, s7))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 12.41/8.69 tff(11281,plain,
% 12.41/8.69 (~node126(c_s, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11280, 2812, 11273])).
% 12.41/8.69 tff(11282,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11283,plain,
% 12.41/8.69 (((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress))) <=> (m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11284,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7))))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11283])).
% 12.41/8.69 tff(11285,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7)))),
% 12.41/8.69 inference(transitivity,[status(thm)],[11284, 11282])).
% 12.41/8.69 tff(11286,plain,
% 12.41/8.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s6, s7)) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11287,plain,
% 12.41/8.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~m_state_v_angle(c_s, s7, c_arm1topress)) | (~node41(c_s, s6, s7))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 12.41/8.69 tff(11288,plain,
% 12.41/8.69 (~m_state_v_angle(c_s, s7, c_arm1topress)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11287, 2567, 9861, 10193])).
% 12.41/8.69 tff(11289,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node127(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node127(c_s, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11290,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node127(c_s, s7)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11291,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node127(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node127(c_s, s7))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 12.41/8.69 tff(11292,plain,
% 12.41/8.69 (~node127(c_s, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11291, 2823, 11288])).
% 12.41/8.69 tff(11293,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node125(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node125(c_s, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11294,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node125(c_s, s7)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11295,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node125(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node125(c_s, s7))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 12.41/8.69 tff(11296,plain,
% 12.41/8.69 (~node125(c_s, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11295, 7073, 11288])).
% 12.41/8.69 tff(11297,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11298,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11299,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s6, c_arm1topress) | (~node143(c_s, s6))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 12.41/8.69 tff(11300,plain,
% 12.41/8.69 (~node143(c_s, s6)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11299, 9552, 9861])).
% 12.41/8.69 tff(11301,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11302,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11303,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s6, c_extend) | (~node142(c_s, s6))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 12.41/8.69 tff(11304,plain,
% 12.41/8.69 (~node142(c_s, s6)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11303, 3523, 9877])).
% 12.41/8.69 tff(11305,plain,
% 12.41/8.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11306,plain,
% 12.41/8.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11307,plain,
% 12.41/8.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s6, s7)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s6, s7)),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11306, 11305])).
% 12.41/8.69 tff(11308,plain,
% 12.41/8.69 (node145(c_s, s6, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11307, 2729, 3512, 2095])).
% 12.41/8.69 tff(11309,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11310,plain,
% 12.41/8.69 ((node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7))) <=> (node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11311,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7)))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11310])).
% 12.41/8.69 tff(11312,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7))),
% 12.41/8.69 inference(transitivity,[status(thm)],[11311, 11309])).
% 12.41/8.69 tff(11313,plain,
% 12.41/8.69 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s6) | node142(c_s, s6) | node144(c_s, s6, s7) | (~node145(c_s, s6, s7)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11314,plain,
% 12.41/8.69 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s6) | node143(c_s, s6) | (~node145(c_s, s6, s7)) | node144(c_s, s6, s7)),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 12.41/8.69 tff(11315,plain,
% 12.41/8.69 (node142(c_s, s6) | node143(c_s, s6) | node144(c_s, s6, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11314, 3548, 11308])).
% 12.41/8.69 tff(11316,plain,
% 12.41/8.69 (node144(c_s, s6, s7)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11315, 11304, 11300])).
% 12.41/8.69 tff(11317,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11318,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11319,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s5, c_arm1topress) | (~node143(c_s, s5))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 12.41/8.69 tff(11320,plain,
% 12.41/8.69 (~node143(c_s, s5)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11319, 9552, 8639])).
% 12.41/8.69 tff(11321,plain,
% 12.41/8.69 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11322,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11323,plain,
% 12.41/8.69 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s5, c_extend) | (~node142(c_s, s5))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 12.41/8.69 tff(11324,plain,
% 12.41/8.69 (~node142(c_s, s5)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11323, 3523, 8309])).
% 12.41/8.69 tff(11325,plain,
% 12.41/8.69 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11326,plain,
% 12.41/8.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11327,plain,
% 12.41/8.69 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s5, s6)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s5, s6)),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 12.41/8.69 tff(11328,plain,
% 12.41/8.69 (node145(c_s, s5, s6)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11327, 2729, 3512, 14])).
% 12.41/8.69 tff(11329,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11330,plain,
% 12.41/8.69 ((node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))) <=> (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11331,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11330])).
% 12.41/8.69 tff(11332,plain,
% 12.41/8.69 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.41/8.69 inference(transitivity,[status(thm)],[11331, 11329])).
% 12.41/8.69 tff(11333,plain,
% 12.41/8.69 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s5) | node142(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11334,plain,
% 12.41/8.69 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6) | (~node145(c_s, s5, s6))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 12.41/8.69 tff(11335,plain,
% 12.41/8.69 (node142(c_s, s5) | node143(c_s, s5) | node144(c_s, s5, s6)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11334, 3548, 11328])).
% 12.41/8.69 tff(11336,plain,
% 12.41/8.69 (node144(c_s, s5, s6)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11335, 11324, 11320])).
% 12.41/8.69 tff(11337,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11338,plain,
% 12.41/8.69 (((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off))) <=> (m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11339,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6))))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11338])).
% 12.41/8.69 tff(11340,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6)))),
% 12.41/8.69 inference(transitivity,[status(thm)],[11339, 11337])).
% 12.41/8.69 tff(11341,plain,
% 12.41/8.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s5, s6)) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)))),
% 12.41/8.69 inference(quant_inst,[status(thm)],[])).
% 12.41/8.69 tff(11342,plain,
% 12.41/8.69 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s5, c_off) | (~m_state_v_A1Mag(c_s, s6, c_off)) | (~node144(c_s, s5, s6))),
% 12.41/8.69 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 12.41/8.69 tff(11343,plain,
% 12.41/8.69 (~m_state_v_A1Mag(c_s, s6, c_off)),
% 12.41/8.69 inference(unit_resolution,[status(thm)],[11342, 6961, 9225, 11336])).
% 12.41/8.69 tff(11344,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11345,plain,
% 12.41/8.69 (((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off))) <=> (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.41/8.69 inference(rewrite,[status(thm)],[])).
% 12.41/8.69 tff(11346,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7))))),
% 12.41/8.69 inference(monotonicity,[status(thm)],[11345])).
% 12.41/8.69 tff(11347,plain,
% 12.41/8.69 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7)))),
% 12.41/8.70 inference(transitivity,[status(thm)],[11346, 11344])).
% 12.41/8.70 tff(11348,plain,
% 12.41/8.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s6, s7)) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.41/8.70 inference(quant_inst,[status(thm)],[])).
% 12.41/8.70 tff(11349,plain,
% 12.41/8.70 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | m_state_v_A1Mag(c_s, s6, c_off) | (~m_state_v_A1Mag(c_s, s7, c_off)) | (~node144(c_s, s6, s7))),
% 12.41/8.70 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 12.41/8.70 tff(11350,plain,
% 12.41/8.70 (~m_state_v_A1Mag(c_s, s7, c_off)),
% 12.41/8.70 inference(unit_resolution,[status(thm)],[11349, 6961, 11343, 11316])).
% 12.41/8.70 tff(11351,plain,
% 12.41/8.70 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.41/8.70 inference(rewrite,[status(thm)],[])).
% 12.41/8.70 tff(11352,plain,
% 12.41/8.70 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.41/8.70 inference(quant_inst,[status(thm)],[])).
% 12.41/8.70 tff(11353,plain,
% 12.41/8.70 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s7)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.41/8.70 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 12.41/8.70 tff(11354,plain,
% 12.41/8.70 (~node122(c_s, s7)),
% 12.41/8.70 inference(unit_resolution,[status(thm)],[11353, 9235, 11350])).
% 12.41/8.70 tff(11355,plain,
% 12.41/8.70 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node123(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node123(c_s, s7)))),
% 12.41/8.70 inference(rewrite,[status(thm)],[])).
% 12.41/8.70 tff(11356,plain,
% 12.41/8.70 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node123(c_s, s7)))),
% 12.41/8.70 inference(quant_inst,[status(thm)],[])).
% 12.41/8.70 tff(11357,plain,
% 12.41/8.70 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node123(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node123(c_s, s7))),
% 12.41/8.70 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 12.41/8.70 tff(11358,plain,
% 12.41/8.70 (~node123(c_s, s7)),
% 12.41/8.70 inference(unit_resolution,[status(thm)],[11357, 2999, 11288])).
% 12.41/8.70 tff(11359,plain,
% 12.41/8.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.41/8.70 inference(rewrite,[status(thm)],[])).
% 12.41/8.70 tff(11360,plain,
% 12.41/8.70 (((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.41/8.70 inference(rewrite,[status(thm)],[])).
% 12.41/8.70 tff(11361,plain,
% 12.41/8.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8)))),
% 12.41/8.70 inference(monotonicity,[status(thm)],[11360])).
% 12.41/8.70 tff(11362,plain,
% 12.41/8.70 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8))),
% 12.41/8.70 inference(transitivity,[status(thm)],[11361, 11359])).
% 12.41/8.70 tff(11363,plain,
% 12.41/8.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s7, s8)) | node131(c_s, s7, s8) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.41/8.70 inference(quant_inst,[status(thm)],[])).
% 12.41/8.70 tff(11364,plain,
% 12.41/8.70 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s7, s8)),
% 12.41/8.70 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 12.41/8.70 tff(11365,plain,
% 12.41/8.70 (node131(c_s, s7, s8)),
% 12.41/8.70 inference(unit_resolution,[status(thm)],[11364, 2729, 2726, 4830])).
% 12.41/8.70 tff(11366,plain,
% 12.41/8.70 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))))),
% 12.41/8.70 inference(bind,[status(th)],[])).
% 12.41/8.70 tff(11367,plain,
% 12.41/8.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.41/8.70 inference(quant_intro,[status(thm)],[11366])).
% 12.41/8.70 tff(11368,plain,
% 12.41/8.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.41/8.70 inference(rewrite,[status(thm)],[])).
% 12.41/8.70 tff(11369,plain,
% 12.41/8.70 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node122(J0, X) | node123(J0, X)) | node124(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X))), ((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X))), (((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) <=> (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))))), rewrite(((node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), (((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) <=> ((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) <=> (((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))))), rewrite((((~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), ((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) <=> ((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> (((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite((((~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X))), (((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | m_state_v_A1M(J0, Y, c_idle)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X)) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle))), ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)))), (((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))), (((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))))),
% 12.45/8.70 inference(bind,[status(th)],[])).
% 12.45/8.70 tff(11370,plain,
% 12.45/8.70 (![Y: $i, X: $i, J0: $i] : ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.45/8.70 inference(quant_intro,[status(thm)],[11369])).
% 12.45/8.70 tff(11371,axiom,(![Y: $i, X: $i, J0: $i] : ((((((((((node122(J0, X) | node123(J0, X)) | node124(J0, X)) | node125(J0, X)) | node126(J0, X)) | node127(J0, X)) | (~m_state_v_angle(J0, X, c_arm1totable))) | (~m_state_v_A1M(J0, X, c_retract))) | (~m_state_v_a1ext(J0, X, c_retracted))) | m_state_v_A1M(J0, Y, c_idle)) | (~node131(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_51')).
% 12.45/8.70 tff(11372,plain,
% 12.45/8.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11371, 11370])).
% 12.45/8.70 tff(11373,plain,
% 12.45/8.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11372, 11368])).
% 12.45/8.70 tff(11374,plain,(
% 12.45/8.70 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.45/8.70 inference(skolemize,[status(sab)],[11373])).
% 12.45/8.70 tff(11375,plain,
% 12.45/8.70 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11374, 11367])).
% 12.45/8.70 tff(11376,plain,
% 12.45/8.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11377,plain,
% 12.45/8.70 (((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8))) <=> ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11378,plain,
% 12.45/8.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8))))),
% 12.45/8.70 inference(monotonicity,[status(thm)],[11377])).
% 12.45/8.70 tff(11379,plain,
% 12.45/8.70 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8)))),
% 12.45/8.70 inference(transitivity,[status(thm)],[11378, 11376])).
% 12.45/8.70 tff(11380,plain,
% 12.45/8.70 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | ((~m_state_v_a1ext(c_s, s7, c_retracted)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | node122(c_s, s7) | node123(c_s, s7) | node124(c_s, s7) | node125(c_s, s7) | node126(c_s, s7) | node127(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | (~node131(c_s, s7, s8)))),
% 12.45/8.70 inference(quant_inst,[status(thm)],[])).
% 12.45/8.70 tff(11381,plain,
% 12.45/8.70 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_retract)) | (~m_state_v_angle(J0, X, c_arm1totable)) | node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | m_state_v_A1M(J0, Y, c_idle) | (~node131(J0, X, Y)))) | (~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7) | (~node131(c_s, s7, s8))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 12.45/8.70 tff(11382,plain,
% 12.45/8.70 ((~m_state_v_angle(c_s, s7, c_arm1totable)) | (~m_state_v_A1M(c_s, s7, c_retract)) | (~m_state_v_a1ext(c_s, s7, c_retracted)) | node123(c_s, s7) | node122(c_s, s7) | node125(c_s, s7) | node127(c_s, s7) | node126(c_s, s7) | m_state_v_A1M(c_s, s8, c_idle) | node124(c_s, s7)),
% 12.45/8.70 inference(unit_resolution,[status(thm)],[11381, 11375, 11365])).
% 12.45/8.70 tff(11383,plain,
% 12.45/8.70 ((~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_A1M(c_s, s8, c_idle)),
% 12.45/8.70 inference(unit_resolution,[status(thm)],[11382, 10232, 10212, 11358, 11354, 11296, 11292, 11281, 11277])).
% 12.45/8.70 tff(11384,plain,
% 12.45/8.70 (m_state_v_A1M(c_s, s8, c_idle)),
% 12.45/8.70 inference(unit_resolution,[status(thm)],[11383, 9989])).
% 12.45/8.70 tff(11385,plain,
% 12.45/8.70 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11386,plain,
% 12.45/8.70 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 12.45/8.70 inference(quant_inst,[status(thm)],[])).
% 12.45/8.70 tff(11387,plain,
% 12.45/8.70 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_extend)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_extend)) | (~m_state_v_A1M(c_s, s8, c_idle))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11386, 11385])).
% 12.45/8.70 tff(11388,plain,
% 12.45/8.70 (~m_state_v_A1M(c_s, s8, c_extend)),
% 12.45/8.70 inference(unit_resolution,[status(thm)],[11387, 2834, 11384])).
% 12.45/8.70 tff(11389,plain,
% 12.45/8.70 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11390,plain,
% 12.45/8.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8)))),
% 12.45/8.70 inference(quant_inst,[status(thm)],[])).
% 12.45/8.70 tff(11391,plain,
% 12.45/8.70 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node124(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node124(c_s, s8))),
% 12.45/8.70 inference(modus_ponens,[status(thm)],[11390, 11389])).
% 12.45/8.70 tff(11392,plain,
% 12.45/8.70 (~node124(c_s, s8)),
% 12.45/8.70 inference(unit_resolution,[status(thm)],[11391, 2845, 11388])).
% 12.45/8.70 tff(11393,plain,
% 12.45/8.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11394,plain,
% 12.45/8.70 (((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_extend) | (~m_state_v_A1M(c_s, s7, c_extend))) <=> ((~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7)))),
% 12.45/8.70 inference(rewrite,[status(thm)],[])).
% 12.45/8.70 tff(11395,plain,
% 12.45/8.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_extend) | (~m_state_v_A1M(c_s, s7, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7))))),
% 12.45/8.70 inference(monotonicity,[status(thm)],[11394])).
% 12.45/8.70 tff(11396,plain,
% 12.45/8.70 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_extend) | (~m_state_v_A1M(c_s, s7, c_extend)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7)))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11395, 11393])).
% 12.45/8.71 tff(11397,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_extend) | (~m_state_v_A1M(c_s, s7, c_extend)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11398,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (~m_state_v_A1M(c_s, s7, c_extend)) | m_state_v_A1M(c_s, s6, c_extend) | (~node130(c_s, s6, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 12.45/8.71 tff(11399,plain,
% 12.45/8.71 (~m_state_v_A1M(c_s, s7, c_extend)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11398, 2930, 9877, 9982])).
% 12.45/8.71 tff(11400,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11401,plain,
% 12.45/8.71 (((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle))) <=> (m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11402,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | (m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7))))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11401])).
% 12.45/8.71 tff(11403,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7)))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11402, 11400])).
% 12.45/8.71 tff(11404,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | ((~node130(c_s, s6, s7)) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11405,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | m_state_v_A1M(J0, X, V) | (~m_state_v_A1M(J0, Y, V)))) | m_state_v_A1M(c_s, s6, c_idle) | (~m_state_v_A1M(c_s, s7, c_idle)) | (~node130(c_s, s6, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 12.45/8.71 tff(11406,plain,
% 12.45/8.71 (~m_state_v_A1M(c_s, s7, c_idle)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11405, 2930, 9444, 9982])).
% 12.45/8.71 tff(11407,assumption,(~m_state_v_A1M(c_s, s7, c_extend)), introduced(assumption)).
% 12.45/8.71 tff(11408,assumption,(~m_state_v_A1M(c_s, s7, c_idle)), introduced(assumption)).
% 12.45/8.71 tff(11409,assumption,(~m_state_v_a1ext(c_s, s8, c_retracted)), introduced(assumption)).
% 12.45/8.71 tff(11410,assumption,(~node29(c_s, s7)), introduced(assumption)).
% 12.45/8.71 tff(11411,plain,
% 12.45/8.71 (^[I0: $i, X: $i] : refl((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)))),
% 12.45/8.71 inference(bind,[status(th)],[])).
% 12.45/8.71 tff(11412,plain,
% 12.45/8.71 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(quant_intro,[status(thm)],[11411])).
% 12.45/8.71 tff(11413,plain,
% 12.45/8.71 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11414,plain,
% 12.45/8.71 (^[I0: $i, X: $i] : rewrite(((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle)) <=> (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle)))),
% 12.45/8.71 inference(bind,[status(th)],[])).
% 12.45/8.71 tff(11415,plain,
% 12.45/8.71 (![I0: $i, X: $i] : ((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(quant_intro,[status(thm)],[11414])).
% 12.45/8.71 tff(11416,axiom,(![I0: $i, X: $i] : ((m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract)) | m_state_v_A1M(I0, X, c_idle))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_1')).
% 12.45/8.71 tff(11417,plain,
% 12.45/8.71 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 12.45/8.71 tff(11418,plain,
% 12.45/8.71 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11417, 11413])).
% 12.45/8.71 tff(11419,plain,(
% 12.45/8.71 ![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(skolemize,[status(sab)],[11418])).
% 12.45/8.71 tff(11420,plain,
% 12.45/8.71 (![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11419, 11412])).
% 12.45/8.71 tff(11421,plain,
% 12.45/8.71 (((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s7, c_extend) | m_state_v_A1M(c_s, s7, c_retract) | m_state_v_A1M(c_s, s7, c_idle))) <=> ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | m_state_v_A1M(c_s, s7, c_extend) | m_state_v_A1M(c_s, s7, c_retract) | m_state_v_A1M(c_s, s7, c_idle))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11422,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | (m_state_v_A1M(c_s, s7, c_extend) | m_state_v_A1M(c_s, s7, c_retract) | m_state_v_A1M(c_s, s7, c_idle))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11423,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : (m_state_v_A1M(I0, X, c_extend) | m_state_v_A1M(I0, X, c_retract) | m_state_v_A1M(I0, X, c_idle))) | m_state_v_A1M(c_s, s7, c_extend) | m_state_v_A1M(c_s, s7, c_retract) | m_state_v_A1M(c_s, s7, c_idle)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11422, 11421])).
% 12.45/8.71 tff(11424,plain,
% 12.45/8.71 (m_state_v_A1M(c_s, s7, c_retract)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11423, 11420, 11407, 11408])).
% 12.45/8.71 tff(11425,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node30(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node30(c_s, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11426,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node30(c_s, s7)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11427,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node30(c_s, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 12.45/8.71 tff(11428,plain,
% 12.45/8.71 (~node30(c_s, s7)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11427, 3025, 11407])).
% 12.45/8.71 tff(11429,plain,
% 12.45/8.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11430,plain,
% 12.45/8.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11431,plain,
% 12.45/8.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s7, s8)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 12.45/8.71 tff(11432,plain,
% 12.45/8.71 (node32(c_s, s7, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11431, 62, 2598, 4830])).
% 12.45/8.71 tff(11433,plain,
% 12.45/8.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11434,plain,
% 12.45/8.71 (((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted)) <=> (node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11435,plain,
% 12.45/8.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | (node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11434])).
% 12.45/8.71 tff(11436,plain,
% 12.45/8.71 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11435, 11433])).
% 12.45/8.71 tff(11437,plain,
% 12.45/8.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | ((~m_state_v_A1M(c_s, s7, c_retract)) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11438,plain,
% 12.45/8.71 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_A1M(J0, X, c_retract)) | node29(J0, X) | node30(J0, X) | (~node32(J0, X, Y)) | m_state_v_a1ext(J0, Y, c_retracted))) | node29(c_s, s7) | node30(c_s, s7) | (~node32(c_s, s7, s8)) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11437, 11436])).
% 12.45/8.71 tff(11439,plain,
% 12.45/8.71 (node29(c_s, s7) | node30(c_s, s7) | (~m_state_v_A1M(c_s, s7, c_retract)) | m_state_v_a1ext(c_s, s8, c_retracted)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11438, 2612, 11432])).
% 12.45/8.71 tff(11440,plain,
% 12.45/8.71 ($false),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11439, 11428, 11424, 11410, 11409])).
% 12.45/8.71 tff(11441,plain,(m_state_v_A1M(c_s, s7, c_extend) | node29(c_s, s7) | m_state_v_a1ext(c_s, s8, c_retracted) | m_state_v_A1M(c_s, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.45/8.71 tff(11442,plain,
% 12.45/8.71 (node29(c_s, s7)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11441, 11407, 11409, 11408])).
% 12.45/8.71 tff(11443,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11444,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11445,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s7, c_extend) | (~node29(c_s, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 12.45/8.71 tff(11446,plain,
% 12.45/8.71 ($false),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11445, 2628, 11442, 11407])).
% 12.45/8.71 tff(11447,plain,(m_state_v_A1M(c_s, s7, c_extend) | m_state_v_a1ext(c_s, s8, c_retracted) | m_state_v_A1M(c_s, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 12.45/8.71 tff(11448,plain,
% 12.45/8.71 (m_state_v_a1ext(c_s, s8, c_retracted)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11447, 11406, 11399])).
% 12.45/8.71 tff(11449,plain,
% 12.45/8.71 (((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11450,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | ((~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11451,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : ((~m_state_v_a1ext(I0, X, c_ot)) | (~m_state_v_a1ext(I0, X, c_retracted)))) | (~m_state_v_a1ext(c_s, s8, c_ot)) | (~m_state_v_a1ext(c_s, s8, c_retracted))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11450, 11449])).
% 12.45/8.71 tff(11452,plain,
% 12.45/8.71 (~m_state_v_a1ext(c_s, s8, c_ot)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11451, 2652, 11448])).
% 12.45/8.71 tff(11453,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11454,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | (m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11455,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node126(J0, X)))) | m_state_v_a1ext(c_s, s8, c_ot) | (~node126(c_s, s8))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 12.45/8.71 tff(11456,plain,
% 12.45/8.71 (~node126(c_s, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11455, 2812, 11452])).
% 12.45/8.71 tff(11457,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | ((~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11458,plain,
% 12.45/8.71 ((m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8))) <=> ((~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11459,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | ((~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend)))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11458])).
% 12.45/8.71 tff(11460,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11459, 11457])).
% 12.45/8.71 tff(11461,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node125(c_s, s8)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11462,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node125(J0, X)))) | (~node125(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11461, 11460])).
% 12.45/8.71 tff(11463,plain,
% 12.45/8.71 (~node125(c_s, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11462, 2856, 11388])).
% 12.45/8.71 tff(11464,plain,
% 12.45/8.71 (((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11465,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | ((~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11466,plain,
% 12.45/8.71 ((~![I0: $i, X: $i] : ((~m_state_v_A1M(I0, X, c_retract)) | (~m_state_v_A1M(I0, X, c_idle)))) | (~m_state_v_A1M(c_s, s8, c_retract)) | (~m_state_v_A1M(c_s, s8, c_idle))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11465, 11464])).
% 12.45/8.71 tff(11467,plain,
% 12.45/8.71 (~m_state_v_A1M(c_s, s8, c_retract)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11466, 1383, 11384])).
% 12.45/8.71 tff(11468,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11469,plain,
% 12.45/8.71 ((m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8))) <=> ((~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11470,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | ((~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11469])).
% 12.45/8.71 tff(11471,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11470, 11468])).
% 12.45/8.71 tff(11472,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node129(c_s, s8)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11473,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node129(J0, X)))) | (~node129(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 12.45/8.71 tff(11474,plain,
% 12.45/8.71 (~node129(c_s, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11473, 2878, 11467])).
% 12.45/8.71 tff(11475,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11476,plain,
% 12.45/8.71 ((m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8))) <=> ((~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11477,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | ((~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11476])).
% 12.45/8.71 tff(11478,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11477, 11475])).
% 12.45/8.71 tff(11479,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node128(c_s, s8)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11480,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node128(J0, X)))) | (~node128(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 12.45/8.71 tff(11481,plain,
% 12.45/8.71 (~node128(c_s, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11480, 2867, 11467])).
% 12.45/8.71 tff(11482,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node143(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node143(c_s, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11483,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~node143(c_s, s7)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11484,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node143(J0, X)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~node143(c_s, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 12.45/8.71 tff(11485,plain,
% 12.45/8.71 (~node143(c_s, s7)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11484, 9552, 11288])).
% 12.45/8.71 tff(11486,plain,
% 12.45/8.71 (((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11487,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | (m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11488,plain,
% 12.45/8.71 ((~![X: $i, J0: $i] : (m_state_v_a1ext(J0, X, c_ot) | (~node142(J0, X)))) | m_state_v_a1ext(c_s, s7, c_ot) | (~node142(c_s, s7))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 12.45/8.71 tff(11489,plain,
% 12.45/8.71 (~node142(c_s, s7)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11488, 5513, 11273])).
% 12.45/8.71 tff(11490,plain,
% 12.45/8.71 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11491,plain,
% 12.45/8.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11492,plain,
% 12.45/8.71 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s7, s8)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s7, s8)),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 12.45/8.71 tff(11493,plain,
% 12.45/8.71 (node145(c_s, s7, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11492, 2729, 3512, 4830])).
% 12.45/8.71 tff(11494,plain,
% 12.45/8.71 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11495,plain,
% 12.45/8.71 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11496,plain,
% 12.45/8.71 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8) | (~node145(c_s, s7, s8))),
% 12.45/8.71 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 12.45/8.71 tff(11497,plain,
% 12.45/8.71 (node143(c_s, s7) | node142(c_s, s7) | node144(c_s, s7, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11496, 3548, 11493])).
% 12.45/8.71 tff(11498,plain,
% 12.45/8.71 (node144(c_s, s7, s8)),
% 12.45/8.71 inference(unit_resolution,[status(thm)],[11497, 11489, 11485])).
% 12.45/8.71 tff(11499,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11500,plain,
% 12.45/8.71 (((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off))) <=> ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.45/8.71 inference(rewrite,[status(thm)],[])).
% 12.45/8.71 tff(11501,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off)))),
% 12.45/8.71 inference(monotonicity,[status(thm)],[11500])).
% 12.45/8.71 tff(11502,plain,
% 12.45/8.71 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off))),
% 12.45/8.71 inference(transitivity,[status(thm)],[11501, 11499])).
% 12.45/8.71 tff(11503,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | ((~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off) | (~m_state_v_A1Mag(c_s, s8, c_off)))),
% 12.45/8.71 inference(quant_inst,[status(thm)],[])).
% 12.45/8.71 tff(11504,plain,
% 12.45/8.71 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | m_state_v_A1Mag(J0, X, V) | (~m_state_v_A1Mag(J0, Y, V)))) | (~m_state_v_A1Mag(c_s, s8, c_off)) | (~node144(c_s, s7, s8)) | m_state_v_A1Mag(c_s, s7, c_off)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 12.45/8.72 tff(11505,plain,
% 12.45/8.72 (~m_state_v_A1Mag(c_s, s8, c_off)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11504, 6961, 11498, 11350])).
% 12.45/8.72 tff(11506,plain,
% 12.45/8.72 (^[X: $i, J0: $i] : refl((m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))))),
% 12.45/8.72 inference(bind,[status(th)],[])).
% 12.45/8.72 tff(11507,plain,
% 12.45/8.72 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.45/8.72 inference(quant_intro,[status(thm)],[11506])).
% 12.45/8.72 tff(11508,plain,
% 12.45/8.72 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11509,axiom,(![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_36')).
% 12.45/8.72 tff(11510,plain,
% 12.45/8.72 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 12.45/8.72 tff(11511,plain,(
% 12.45/8.72 ![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.45/8.72 inference(skolemize,[status(sab)],[11510])).
% 12.45/8.72 tff(11512,plain,
% 12.45/8.72 (![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11511, 11507])).
% 12.45/8.72 tff(11513,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11514,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11515,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node127(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node127(c_s, s8))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11514, 11513])).
% 12.45/8.72 tff(11516,plain,
% 12.45/8.72 (~node127(c_s, s8)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11515, 11512, 11505])).
% 12.45/8.72 tff(11517,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))) <=> ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11518,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | ((~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11519,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~node122(J0, X)) | m_state_v_A1Mag(J0, X, c_off))) | (~node122(c_s, s8)) | m_state_v_A1Mag(c_s, s8, c_off)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11518, 11517])).
% 12.45/8.72 tff(11520,plain,
% 12.45/8.72 (~node122(c_s, s8)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11519, 9235, 11505])).
% 12.45/8.72 tff(11521,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11522,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11523,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s4)) | (~node114(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 12.45/8.72 tff(11524,plain,
% 12.45/8.72 (~node114(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11523, 7257, 9954])).
% 12.45/8.72 tff(11525,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11526,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11527,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node115(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 12.45/8.72 tff(11528,plain,
% 12.45/8.72 (~node115(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11527, 7518, 8182])).
% 12.45/8.72 tff(11529,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11530,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11531,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node116(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11530, 11529])).
% 12.45/8.72 tff(11532,plain,
% 12.45/8.72 (~node116(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11531, 7286, 8182])).
% 12.45/8.72 tff(11533,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11534,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11535,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s3)) | m_state_v_press_status(c_s, s3, c_pressatmid)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 12.45/8.72 tff(11536,plain,
% 12.45/8.72 (~node50(c_s, s3)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11535, 7561, 7980])).
% 12.45/8.72 tff(11537,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node49(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node49(c_s, s3)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11538,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node49(c_s, s3)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11539,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node49(c_s, s3))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 12.45/8.72 tff(11540,plain,
% 12.45/8.72 (~node49(c_s, s3)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11539, 7940, 9326])).
% 12.45/8.72 tff(11541,plain,
% 12.45/8.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11542,plain,
% 12.45/8.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11543,plain,
% 12.45/8.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s3, s4)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 12.45/8.72 tff(11544,plain,
% 12.45/8.72 (node52(c_s, s3, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11543, 62, 7536, 911])).
% 12.45/8.72 tff(11545,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11546,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11547,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4) | (~node52(c_s, s3, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 12.45/8.72 tff(11548,plain,
% 12.45/8.72 (node49(c_s, s3) | node50(c_s, s3) | node51(c_s, s3, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11547, 7575, 11544])).
% 12.45/8.72 tff(11549,plain,
% 12.45/8.72 (node51(c_s, s3, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11548, 11540, 11536])).
% 12.45/8.72 tff(11550,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11551,plain,
% 12.45/8.72 ((m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4))) <=> ((~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11552,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4))))),
% 12.45/8.72 inference(monotonicity,[status(thm)],[11551])).
% 12.45/8.72 tff(11553,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)))),
% 12.45/8.72 inference(transitivity,[status(thm)],[11552, 11550])).
% 12.45/8.72 tff(11554,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4)) | (~m_state_v_topPosP(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11555,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s4)) | m_state_v_topPosP(c_s, s3) | (~node51(c_s, s3, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11554, 11553])).
% 12.45/8.72 tff(11556,plain,
% 12.45/8.72 (~m_state_v_topPosP(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11555, 7592, 9326, 11549])).
% 12.45/8.72 tff(11557,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11558,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11559,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node118(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 12.45/8.72 tff(11560,plain,
% 12.45/8.72 (~node118(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11559, 7308, 11556])).
% 12.45/8.72 tff(11561,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11562,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11563,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node117(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11562, 11561])).
% 12.45/8.72 tff(11564,plain,
% 12.45/8.72 (~node117(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11563, 7606, 11556])).
% 12.45/8.72 tff(11565,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11566,plain,
% 12.45/8.72 (((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down))) <=> ((~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11567,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4))))),
% 12.45/8.72 inference(monotonicity,[status(thm)],[11566])).
% 12.45/8.72 tff(11568,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4)))),
% 12.45/8.72 inference(transitivity,[status(thm)],[11567, 11565])).
% 12.45/8.72 tff(11569,plain,
% 12.45/8.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s3, c_down) | (~m_state_v_PM(c_s, s4, c_down)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11570,plain,
% 12.45/8.72 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s4, c_down)) | m_state_v_PM(c_s, s3, c_down) | (~node120(c_s, s3, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11569, 11568])).
% 12.45/8.72 tff(11571,plain,
% 12.45/8.72 (~m_state_v_PM(c_s, s4, c_down)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11570, 7410, 9295, 9377])).
% 12.45/8.72 tff(11572,plain,
% 12.45/8.72 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11573,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11574,plain,
% 12.45/8.72 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s4, c_down) | (~node119(c_s, s4))),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11573, 11572])).
% 12.45/8.72 tff(11575,plain,
% 12.45/8.72 (~node119(c_s, s4)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11574, 7364, 11571])).
% 12.45/8.72 tff(11576,plain,
% 12.45/8.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11577,plain,
% 12.45/8.72 (((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11578,plain,
% 12.45/8.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5)))),
% 12.45/8.72 inference(monotonicity,[status(thm)],[11577])).
% 12.45/8.72 tff(11579,plain,
% 12.45/8.72 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5))),
% 12.45/8.72 inference(transitivity,[status(thm)],[11578, 11576])).
% 12.45/8.72 tff(11580,plain,
% 12.45/8.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s4, s5)) | node121(c_s, s4, s5) | (~m_Press_v_s(c_PR, c_s)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11581,plain,
% 12.45/8.72 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s4, s5)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s4, s5)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 12.45/8.72 tff(11582,plain,
% 12.45/8.72 (node121(c_s, s4, s5)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11581, 7176, 7173, 1043])).
% 12.45/8.72 tff(11583,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11584,plain,
% 12.45/8.72 ((node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5))) <=> (node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11585,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5)))),
% 12.45/8.72 inference(monotonicity,[status(thm)],[11584])).
% 12.45/8.72 tff(11586,plain,
% 12.45/8.72 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5))),
% 12.45/8.72 inference(transitivity,[status(thm)],[11585, 11583])).
% 12.45/8.72 tff(11587,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s4) | node115(c_s, s4) | node116(c_s, s4) | node117(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node120(c_s, s4, s5) | (~node121(c_s, s4, s5)))),
% 12.45/8.72 inference(quant_inst,[status(thm)],[])).
% 12.45/8.72 tff(11588,plain,
% 12.45/8.72 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | (~node121(c_s, s4, s5)) | node120(c_s, s4, s5)),
% 12.45/8.72 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 12.45/8.72 tff(11589,plain,
% 12.45/8.72 (node117(c_s, s4) | node116(c_s, s4) | node115(c_s, s4) | node118(c_s, s4) | node119(c_s, s4) | node114(c_s, s4) | node120(c_s, s4, s5)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11588, 7393, 11582])).
% 12.45/8.72 tff(11590,plain,
% 12.45/8.72 (node114(c_s, s4) | node120(c_s, s4, s5)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11589, 11575, 11564, 11560, 11532, 11528])).
% 12.45/8.72 tff(11591,plain,
% 12.45/8.72 (node120(c_s, s4, s5)),
% 12.45/8.72 inference(unit_resolution,[status(thm)],[11590, 11524])).
% 12.45/8.72 tff(11592,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11593,plain,
% 12.45/8.72 (((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down))) <=> ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.45/8.72 inference(rewrite,[status(thm)],[])).
% 12.45/8.72 tff(11594,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5))))),
% 12.45/8.72 inference(monotonicity,[status(thm)],[11593])).
% 12.45/8.72 tff(11595,plain,
% 12.45/8.72 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5)))),
% 12.45/8.73 inference(transitivity,[status(thm)],[11594, 11592])).
% 12.45/8.73 tff(11596,plain,
% 12.45/8.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_down) | (~m_state_v_PM(c_s, s5, c_down)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11597,plain,
% 12.45/8.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_down)) | m_state_v_PM(c_s, s4, c_down) | (~node120(c_s, s4, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 12.45/8.73 tff(11598,plain,
% 12.45/8.73 (~m_state_v_PM(c_s, s5, c_down)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11597, 7410, 11571, 11591])).
% 12.45/8.73 tff(11599,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11600,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11601,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s5, c_down) | (~node119(c_s, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 12.45/8.73 tff(11602,plain,
% 12.45/8.73 (~node119(c_s, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11601, 7364, 11598])).
% 12.45/8.73 tff(11603,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11604,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11605,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s5)) | (~node114(c_s, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 12.45/8.73 tff(11606,plain,
% 12.45/8.73 (~node114(c_s, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11605, 7257, 9958])).
% 12.45/8.73 tff(11607,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11608,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | ((~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11609,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_midPosP(J0, X))) | (~node50(c_s, s4)) | m_state_v_midPosP(c_s, s4)),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 12.45/8.73 tff(11610,plain,
% 12.45/8.73 (~node50(c_s, s4)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11609, 7929, 8182])).
% 12.45/8.73 tff(11611,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11612,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11613,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node49(c_s, s4))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 12.45/8.73 tff(11614,plain,
% 12.45/8.73 (~node49(c_s, s4)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11613, 7940, 11556])).
% 12.45/8.73 tff(11615,plain,
% 12.45/8.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11616,plain,
% 12.45/8.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11617,plain,
% 12.45/8.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s4, s5)),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 12.45/8.73 tff(11618,plain,
% 12.45/8.73 (node52(c_s, s4, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11617, 62, 7536, 1043])).
% 12.45/8.73 tff(11619,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11620,plain,
% 12.45/8.73 ((node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5))) <=> (node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11621,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4)))),
% 12.45/8.73 inference(monotonicity,[status(thm)],[11620])).
% 12.45/8.73 tff(11622,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4))),
% 12.45/8.73 inference(transitivity,[status(thm)],[11621, 11619])).
% 12.45/8.73 tff(11623,plain,
% 12.45/8.73 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s4) | node50(c_s, s4) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11624,plain,
% 12.45/8.73 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node51(c_s, s4, s5) | (~node52(c_s, s4, s5)) | node50(c_s, s4) | node49(c_s, s4)),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 12.45/8.73 tff(11625,plain,
% 12.45/8.73 (node51(c_s, s4, s5) | node50(c_s, s4) | node49(c_s, s4)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11624, 7575, 11618])).
% 12.45/8.73 tff(11626,plain,
% 12.45/8.73 (node51(c_s, s4, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11625, 11614, 11610])).
% 12.45/8.73 tff(11627,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11628,plain,
% 12.45/8.73 ((m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5))) <=> ((~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11629,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | ((~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5))))),
% 12.45/8.73 inference(monotonicity,[status(thm)],[11628])).
% 12.45/8.73 tff(11630,plain,
% 12.45/8.73 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)))),
% 12.45/8.73 inference(transitivity,[status(thm)],[11629, 11627])).
% 12.45/8.73 tff(11631,plain,
% 12.45/8.73 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5)) | (~m_state_v_topPosP(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11632,plain,
% 12.45/8.73 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (~m_state_v_topPosP(c_s, s5)) | m_state_v_topPosP(c_s, s4) | (~node51(c_s, s4, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 12.45/8.73 tff(11633,plain,
% 12.45/8.73 (~m_state_v_topPosP(c_s, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11632, 7592, 11556, 11626])).
% 12.45/8.73 tff(11634,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11635,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11636,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node118(c_s, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 12.45/8.73 tff(11637,plain,
% 12.45/8.73 (~node118(c_s, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11636, 7308, 11633])).
% 12.45/8.73 tff(11638,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node115(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node115(c_s, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11639,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node115(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11640,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node115(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node115(c_s, s5))),
% 12.45/8.73 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 12.45/8.73 tff(11641,plain,
% 12.45/8.73 (~node115(c_s, s5)),
% 12.45/8.73 inference(unit_resolution,[status(thm)],[11640, 7518, 9407])).
% 12.45/8.73 tff(11642,plain,
% 12.45/8.73 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))),
% 12.45/8.73 inference(rewrite,[status(thm)],[])).
% 12.45/8.73 tff(11643,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5)))),
% 12.45/8.73 inference(quant_inst,[status(thm)],[])).
% 12.45/8.73 tff(11644,plain,
% 12.45/8.73 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node117(c_s, s5))),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 12.48/8.73 tff(11645,plain,
% 12.48/8.73 (~node117(c_s, s5)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11644, 7606, 11633])).
% 12.48/8.73 tff(11646,plain,
% 12.48/8.73 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11647,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11648,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s5) | (~node116(c_s, s5))),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 12.48/8.73 tff(11649,plain,
% 12.48/8.73 (~node116(c_s, s5)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11648, 7286, 9407])).
% 12.48/8.73 tff(11650,plain,
% 12.48/8.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11651,plain,
% 12.48/8.73 (((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11652,plain,
% 12.48/8.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6)))),
% 12.48/8.73 inference(monotonicity,[status(thm)],[11651])).
% 12.48/8.73 tff(11653,plain,
% 12.48/8.73 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6))),
% 12.48/8.73 inference(transitivity,[status(thm)],[11652, 11650])).
% 12.48/8.73 tff(11654,plain,
% 12.48/8.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s5, s6)) | node121(c_s, s5, s6) | (~m_Press_v_s(c_PR, c_s)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11655,plain,
% 12.48/8.73 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s5, s6)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s5, s6)),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11654, 11653])).
% 12.48/8.73 tff(11656,plain,
% 12.48/8.73 (node121(c_s, s5, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11655, 7176, 7173, 14])).
% 12.48/8.73 tff(11657,plain,
% 12.48/8.73 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11658,plain,
% 12.48/8.73 ((node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6))) <=> (node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11659,plain,
% 12.48/8.73 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6)))),
% 12.48/8.73 inference(monotonicity,[status(thm)],[11658])).
% 12.48/8.73 tff(11660,plain,
% 12.48/8.73 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6))),
% 12.48/8.73 inference(transitivity,[status(thm)],[11659, 11657])).
% 12.48/8.73 tff(11661,plain,
% 12.48/8.73 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node117(c_s, s5) | node118(c_s, s5) | node119(c_s, s5) | node120(c_s, s5, s6) | (~node121(c_s, s5, s6)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11662,plain,
% 12.48/8.73 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | (~node121(c_s, s5, s6)) | node120(c_s, s5, s6)),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 12.48/8.73 tff(11663,plain,
% 12.48/8.73 (node118(c_s, s5) | node119(c_s, s5) | node114(c_s, s5) | node117(c_s, s5) | node115(c_s, s5) | node116(c_s, s5) | node120(c_s, s5, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11662, 7393, 11656])).
% 12.48/8.73 tff(11664,plain,
% 12.48/8.73 (node119(c_s, s5) | node114(c_s, s5) | node120(c_s, s5, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11663, 11649, 11645, 11641, 11637])).
% 12.48/8.73 tff(11665,plain,
% 12.48/8.73 (node120(c_s, s5, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11664, 11606, 11602])).
% 12.48/8.73 tff(11666,plain,
% 12.48/8.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11667,plain,
% 12.48/8.73 (((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down))) <=> (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11668,plain,
% 12.48/8.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6))))),
% 12.48/8.73 inference(monotonicity,[status(thm)],[11667])).
% 12.48/8.73 tff(11669,plain,
% 12.48/8.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6)))),
% 12.48/8.73 inference(transitivity,[status(thm)],[11668, 11666])).
% 12.48/8.73 tff(11670,plain,
% 12.48/8.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11671,plain,
% 12.48/8.73 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_down) | (~m_state_v_PM(c_s, s6, c_down)) | (~node120(c_s, s5, s6))),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 12.48/8.73 tff(11672,plain,
% 12.48/8.73 (~m_state_v_PM(c_s, s6, c_down)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11671, 7410, 11598, 11665])).
% 12.48/8.73 tff(11673,plain,
% 12.48/8.73 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11674,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | (m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11675,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_down) | (~node119(J0, X)))) | m_state_v_PM(c_s, s6, c_down) | (~node119(c_s, s6))),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 12.48/8.73 tff(11676,plain,
% 12.48/8.73 (~node119(c_s, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11675, 7364, 11672])).
% 12.48/8.73 tff(11677,plain,
% 12.48/8.73 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11678,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6)))),
% 12.48/8.73 inference(quant_inst,[status(thm)],[])).
% 12.48/8.73 tff(11679,plain,
% 12.48/8.73 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node115(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node115(c_s, s6))),
% 12.48/8.73 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 12.48/8.73 tff(11680,plain,
% 12.48/8.73 (~node115(c_s, s6)),
% 12.48/8.73 inference(unit_resolution,[status(thm)],[11679, 7379, 9962])).
% 12.48/8.73 tff(11681,plain,
% 12.48/8.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11682,plain,
% 12.48/8.73 (((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up))) <=> ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.48/8.73 inference(rewrite,[status(thm)],[])).
% 12.48/8.73 tff(11683,plain,
% 12.48/8.73 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5))))),
% 12.48/8.74 inference(monotonicity,[status(thm)],[11682])).
% 12.48/8.74 tff(11684,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5)))),
% 12.48/8.74 inference(transitivity,[status(thm)],[11683, 11681])).
% 12.48/8.74 tff(11685,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s4, s5)) | m_state_v_PM(c_s, s4, c_up) | (~m_state_v_PM(c_s, s5, c_up)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11686,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (~m_state_v_PM(c_s, s5, c_up)) | m_state_v_PM(c_s, s4, c_up) | (~node120(c_s, s4, s5))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 12.48/8.74 tff(11687,plain,
% 12.48/8.74 (~m_state_v_PM(c_s, s5, c_up)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11686, 7410, 9384, 11591])).
% 12.48/8.74 tff(11688,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11689,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11690,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s5, c_up) | (~node53(c_s, s5))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 12.48/8.74 tff(11691,plain,
% 12.48/8.74 (~node53(c_s, s5)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11690, 7442, 11687])).
% 12.48/8.74 tff(11692,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11693,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | (m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11694,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node64(J0, X)))) | m_state_v_topPosP(c_s, s4) | (~node64(c_s, s4))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 12.48/8.74 tff(11695,plain,
% 12.48/8.74 (~node64(c_s, s4)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11694, 7754, 11556])).
% 12.48/8.74 tff(11696,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11697,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | (m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11698,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node65(J0, X)))) | m_state_v_midPosP(c_s, s4) | (~node65(c_s, s4))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 12.48/8.74 tff(11699,plain,
% 12.48/8.74 (~node65(c_s, s4)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11698, 7650, 8182])).
% 12.48/8.74 tff(11700,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11701,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11702,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s3, c_up) | (~node57(c_s, s3))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 12.48/8.74 tff(11703,plain,
% 12.48/8.74 (~node57(c_s, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11702, 7692, 8162])).
% 12.48/8.74 tff(11704,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node58(c_s, s3)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node58(c_s, s3)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11705,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s3) | (~node58(c_s, s3)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11706,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s3) | (~node58(c_s, s3))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 12.48/8.74 tff(11707,plain,
% 12.48/8.74 (~node58(c_s, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11706, 7900, 9326])).
% 12.48/8.74 tff(11708,plain,
% 12.48/8.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11709,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11710,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s3, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s3, s4)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 12.48/8.74 tff(11711,plain,
% 12.48/8.74 (node60(c_s, s3, s4)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11710, 62, 7681, 911])).
% 12.48/8.74 tff(11712,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11713,plain,
% 12.48/8.74 ((node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4))) <=> (node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11714,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3)))),
% 12.48/8.74 inference(monotonicity,[status(thm)],[11713])).
% 12.48/8.74 tff(11715,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3))),
% 12.48/8.74 inference(transitivity,[status(thm)],[11714, 11712])).
% 12.48/8.74 tff(11716,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s3) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11717,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node58(c_s, s3) | node59(c_s, s3, s4) | (~node60(c_s, s3, s4)) | node57(c_s, s3)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 12.48/8.74 tff(11718,plain,
% 12.48/8.74 (node58(c_s, s3) | node59(c_s, s3, s4) | node57(c_s, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11717, 7717, 11711])).
% 12.48/8.74 tff(11719,plain,
% 12.48/8.74 (node59(c_s, s3, s4)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11718, 11707, 11703])).
% 12.48/8.74 tff(11720,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11721,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | (m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11722,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node57(J0, X)))) | m_state_v_PM(c_s, s2, c_up) | (~node57(c_s, s2))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 12.48/8.74 tff(11723,plain,
% 12.48/8.74 (~node57(c_s, s2)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11722, 7692, 7635])).
% 12.48/8.74 tff(11724,plain,
% 12.48/8.74 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11725,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | (m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11726,plain,
% 12.48/8.74 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node58(J0, X)))) | m_state_v_topPosP(c_s, s2) | (~node58(c_s, s2))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 12.48/8.74 tff(11727,plain,
% 12.48/8.74 (~node58(c_s, s2)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11726, 7900, 7955])).
% 12.48/8.74 tff(11728,plain,
% 12.48/8.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11729,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | ((~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11730,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node60(J0, X, Y))) | (~trans(s2, s3)) | (~m_Sensor_v_s(c_SEN, c_s)) | node60(c_s, s2, s3)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 12.48/8.74 tff(11731,plain,
% 12.48/8.74 (node60(c_s, s2, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11730, 62, 7681, 480])).
% 12.48/8.74 tff(11732,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11733,plain,
% 12.48/8.74 ((node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3))) <=> (node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11734,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3)))),
% 12.48/8.74 inference(monotonicity,[status(thm)],[11733])).
% 12.48/8.74 tff(11735,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3))),
% 12.48/8.74 inference(transitivity,[status(thm)],[11734, 11732])).
% 12.48/8.74 tff(11736,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3) | (~node60(c_s, s2, s3)))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11737,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : (node57(J0, X) | node58(J0, X) | node59(J0, X, Y) | (~node60(J0, X, Y)))) | node57(c_s, s2) | node58(c_s, s2) | (~node60(c_s, s2, s3)) | node59(c_s, s2, s3)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 12.48/8.74 tff(11738,plain,
% 12.48/8.74 (node57(c_s, s2) | node58(c_s, s2) | node59(c_s, s2, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11737, 7717, 11731])).
% 12.48/8.74 tff(11739,plain,
% 12.48/8.74 (node59(c_s, s2, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11738, 11727, 11723])).
% 12.48/8.74 tff(11740,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11741,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11742,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s2)) | (~node59(c_s, s2, s3)) | m_state_v_botPosP(c_s, s3)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 12.48/8.74 tff(11743,plain,
% 12.48/8.74 (m_state_v_botPosP(c_s, s3)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11742, 7743, 7915, 11739])).
% 12.48/8.74 tff(11744,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11745,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | ((~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11746,plain,
% 12.48/8.74 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | (~node59(J0, X, Y)) | m_state_v_botPosP(J0, Y))) | (~m_state_v_botPosP(c_s, s3)) | (~node59(c_s, s3, s4)) | m_state_v_botPosP(c_s, s4)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 12.48/8.74 tff(11747,plain,
% 12.48/8.74 (m_state_v_botPosP(c_s, s4)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11746, 7743, 11743, 11719])).
% 12.48/8.74 tff(11748,assumption,(m_state_v_PM(c_s, s2, c_idle)), introduced(assumption)).
% 12.48/8.74 tff(11749,assumption,(node120(c_s, s2, s3)), introduced(assumption)).
% 12.48/8.74 tff(11750,assumption,(~m_state_v_PM(c_s, s3, c_idle)), introduced(assumption)).
% 12.48/8.74 tff(11751,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11752,plain,
% 12.48/8.74 (((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle)) <=> (m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11753,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3))))),
% 12.48/8.74 inference(monotonicity,[status(thm)],[11752])).
% 12.48/8.74 tff(11754,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3)))),
% 12.48/8.74 inference(transitivity,[status(thm)],[11753, 11751])).
% 12.48/8.74 tff(11755,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s2, s3)) | (~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11756,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s3, c_idle) | (~m_state_v_PM(c_s, s2, c_idle)) | (~node120(c_s, s2, s3))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 12.48/8.74 tff(11757,plain,
% 12.48/8.74 ($false),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11756, 7664, 11750, 11749, 11748])).
% 12.48/8.74 tff(11758,plain,((~m_state_v_PM(c_s, s2, c_idle)) | m_state_v_PM(c_s, s3, c_idle) | (~node120(c_s, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 12.48/8.74 tff(11759,plain,
% 12.48/8.74 (m_state_v_PM(c_s, s3, c_idle)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11758, 8155, 7885])).
% 12.48/8.74 tff(11760,assumption,(node120(c_s, s3, s4)), introduced(assumption)).
% 12.48/8.74 tff(11761,assumption,(m_state_v_PM(c_s, s3, c_idle)), introduced(assumption)).
% 12.48/8.74 tff(11762,assumption,(~m_state_v_PM(c_s, s4, c_idle)), introduced(assumption)).
% 12.48/8.74 tff(11763,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11764,plain,
% 12.48/8.74 (((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle)) <=> (m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11765,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | (m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4))))),
% 12.48/8.74 inference(monotonicity,[status(thm)],[11764])).
% 12.48/8.74 tff(11766,plain,
% 12.48/8.74 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4)))),
% 12.48/8.74 inference(transitivity,[status(thm)],[11765, 11763])).
% 12.48/8.74 tff(11767,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | ((~node120(c_s, s3, s4)) | (~m_state_v_PM(c_s, s3, c_idle)) | m_state_v_PM(c_s, s4, c_idle))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11768,plain,
% 12.48/8.74 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | (~m_state_v_PM(J0, X, V)) | m_state_v_PM(J0, Y, V))) | m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle)) | (~node120(c_s, s3, s4))),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 12.48/8.74 tff(11769,plain,
% 12.48/8.74 ($false),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11768, 7664, 11762, 11761, 11760])).
% 12.48/8.74 tff(11770,plain,((~node120(c_s, s3, s4)) | m_state_v_PM(c_s, s4, c_idle) | (~m_state_v_PM(c_s, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 12.48/8.74 tff(11771,plain,
% 12.48/8.74 (m_state_v_PM(c_s, s4, c_idle)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11770, 9377, 11759])).
% 12.48/8.74 tff(11772,plain,
% 12.48/8.74 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11773,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | ((~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5))),
% 12.48/8.74 inference(quant_inst,[status(thm)],[])).
% 12.48/8.74 tff(11774,plain,
% 12.48/8.74 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node68(J0, X, Y))) | (~trans(s4, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node68(c_s, s4, s5)),
% 12.48/8.74 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 12.48/8.74 tff(11775,plain,
% 12.48/8.74 (node68(c_s, s4, s5)),
% 12.48/8.74 inference(unit_resolution,[status(thm)],[11774, 62, 7768, 1043])).
% 12.48/8.74 tff(11776,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11777,plain,
% 12.48/8.74 (((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot)) <=> ((~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5)))),
% 12.48/8.74 inference(rewrite,[status(thm)],[])).
% 12.48/8.74 tff(11778,plain,
% 12.48/8.74 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5))))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11777])).
% 12.48/8.75 tff(11779,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5)))),
% 12.48/8.75 inference(transitivity,[status(thm)],[11778, 11776])).
% 12.48/8.75 tff(11780,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | ((~m_state_v_botPosP(c_s, s4)) | node64(c_s, s4) | (~m_state_v_PM(c_s, s4, c_idle)) | node65(c_s, s4) | (~node68(c_s, s4, s5)) | m_state_v_press_status(c_s, s5, c_pressatbot))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11781,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_botPosP(J0, X)) | node64(J0, X) | (~m_state_v_PM(J0, X, c_idle)) | node65(J0, X) | (~node68(J0, X, Y)) | m_state_v_press_status(J0, Y, c_pressatbot))) | (~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4) | (~node68(c_s, s4, s5))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 12.48/8.75 tff(11782,plain,
% 12.48/8.75 ((~m_state_v_botPosP(c_s, s4)) | (~m_state_v_PM(c_s, s4, c_idle)) | m_state_v_press_status(c_s, s5, c_pressatbot) | node65(c_s, s4) | node64(c_s, s4)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11781, 7782, 11775])).
% 12.48/8.75 tff(11783,plain,
% 12.48/8.75 (m_state_v_press_status(c_s, s5, c_pressatbot)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11782, 11771, 11747, 11699, 11695])).
% 12.48/8.75 tff(11784,plain,
% 12.48/8.75 (((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11785,plain,
% 12.48/8.75 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | ((~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11786,plain,
% 12.48/8.75 ((~![I0: $i, X: $i] : ((~m_state_v_press_status(I0, X, c_pressatmid)) | (~m_state_v_press_status(I0, X, c_pressatbot)))) | (~m_state_v_press_status(c_s, s5, c_pressatmid)) | (~m_state_v_press_status(c_s, s5, c_pressatbot))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 12.48/8.75 tff(11787,plain,
% 12.48/8.75 (~m_state_v_press_status(c_s, s5, c_pressatmid)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11786, 7462, 11783])).
% 12.48/8.75 tff(11788,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11789,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | (m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11790,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_press_status(J0, X, c_pressatmid) | (~node54(J0, X)))) | m_state_v_press_status(c_s, s5, c_pressatmid) | (~node54(c_s, s5))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 12.48/8.75 tff(11791,plain,
% 12.48/8.75 (~node54(c_s, s5)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11790, 7473, 11787])).
% 12.48/8.75 tff(11792,plain,
% 12.48/8.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11793,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11794,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s5, s6)),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 12.48/8.75 tff(11795,plain,
% 12.48/8.75 (node56(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11794, 62, 7431, 14])).
% 12.48/8.75 tff(11796,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11797,plain,
% 12.48/8.75 ((node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6))) <=> (node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11798,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6))))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11797])).
% 12.48/8.75 tff(11799,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))),
% 12.48/8.75 inference(transitivity,[status(thm)],[11798, 11796])).
% 12.48/8.75 tff(11800,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s5) | node54(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11801,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6) | (~node56(c_s, s5, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11800, 11799])).
% 12.48/8.75 tff(11802,plain,
% 12.48/8.75 (node54(c_s, s5) | node53(c_s, s5) | node55(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11801, 7487, 11795])).
% 12.48/8.75 tff(11803,plain,
% 12.48/8.75 (node53(c_s, s5) | node55(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11802, 11791])).
% 12.48/8.75 tff(11804,plain,
% 12.48/8.75 (node55(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11803, 11691])).
% 12.48/8.75 tff(11805,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11806,plain,
% 12.48/8.75 ((m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6))) <=> (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11807,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6))))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11806])).
% 12.48/8.75 tff(11808,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6)))),
% 12.48/8.75 inference(transitivity,[status(thm)],[11807, 11805])).
% 12.48/8.75 tff(11809,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s5) | (~node55(c_s, s5, s6)) | (~m_state_v_midPosP(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11810,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s5) | (~m_state_v_midPosP(c_s, s6)) | (~node55(c_s, s5, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 12.48/8.75 tff(11811,plain,
% 12.48/8.75 (~m_state_v_midPosP(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11810, 7504, 9407, 11804])).
% 12.48/8.75 tff(11812,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11813,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | (m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11814,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node116(J0, X)))) | m_state_v_midPosP(c_s, s6) | (~node116(c_s, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11813, 11812])).
% 12.48/8.75 tff(11815,plain,
% 12.48/8.75 (~node116(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11814, 7286, 11811])).
% 12.48/8.75 tff(11816,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))) <=> ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11817,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | ((~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11818,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : ((~m_state_v_pl(J0, X)) | (~node114(J0, X)))) | (~m_state_v_pl(c_s, s6)) | (~node114(c_s, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 12.48/8.75 tff(11819,plain,
% 12.48/8.75 (~node114(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11818, 7257, 9962])).
% 12.48/8.75 tff(11820,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))) <=> ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11821,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | ((~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11822,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : ((~node50(J0, X)) | m_state_v_press_status(J0, X, c_pressatmid))) | (~node50(c_s, s5)) | m_state_v_press_status(c_s, s5, c_pressatmid)),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 12.48/8.75 tff(11823,plain,
% 12.48/8.75 (~node50(c_s, s5)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11822, 7561, 11787])).
% 12.48/8.75 tff(11824,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11825,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | (m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11826,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node49(J0, X)))) | m_state_v_topPosP(c_s, s5) | (~node49(c_s, s5))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 12.48/8.75 tff(11827,plain,
% 12.48/8.75 (~node49(c_s, s5)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11826, 7940, 11633])).
% 12.48/8.75 tff(11828,plain,
% 12.48/8.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11829,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | ((~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11830,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node52(J0, X, Y))) | (~trans(s5, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node52(c_s, s5, s6)),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 12.48/8.75 tff(11831,plain,
% 12.48/8.75 (node52(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11830, 62, 7536, 14])).
% 12.48/8.75 tff(11832,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11833,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11834,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (node49(J0, X) | node50(J0, X) | node51(J0, X, Y) | (~node52(J0, X, Y)))) | node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6) | (~node52(c_s, s5, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 12.48/8.75 tff(11835,plain,
% 12.48/8.75 (node49(c_s, s5) | node50(c_s, s5) | node51(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11834, 7575, 11831])).
% 12.48/8.75 tff(11836,plain,
% 12.48/8.75 (node51(c_s, s5, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11835, 11827, 11823])).
% 12.48/8.75 tff(11837,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11838,plain,
% 12.48/8.75 ((m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6))) <=> (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11839,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6))))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11838])).
% 12.48/8.75 tff(11840,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6)))),
% 12.48/8.75 inference(transitivity,[status(thm)],[11839, 11837])).
% 12.48/8.75 tff(11841,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | (m_state_v_topPosP(c_s, s5) | (~node51(c_s, s5, s6)) | (~m_state_v_topPosP(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11842,plain,
% 12.48/8.75 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node51(J0, X, Y)) | (~m_state_v_topPosP(J0, Y)))) | m_state_v_topPosP(c_s, s5) | (~m_state_v_topPosP(c_s, s6)) | (~node51(c_s, s5, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 12.48/8.75 tff(11843,plain,
% 12.48/8.75 (~m_state_v_topPosP(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11842, 7592, 11836, 11633])).
% 12.48/8.75 tff(11844,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11845,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11846,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node117(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node117(c_s, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 12.48/8.75 tff(11847,plain,
% 12.48/8.75 (~node117(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11846, 7606, 11843])).
% 12.48/8.75 tff(11848,plain,
% 12.48/8.75 (((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11849,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | (m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11850,plain,
% 12.48/8.75 ((~![X: $i, J0: $i] : (m_state_v_topPosP(J0, X) | (~node118(J0, X)))) | m_state_v_topPosP(c_s, s6) | (~node118(c_s, s6))),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 12.48/8.75 tff(11851,plain,
% 12.48/8.75 (~node118(c_s, s6)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11850, 7308, 11843])).
% 12.48/8.75 tff(11852,plain,
% 12.48/8.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11853,plain,
% 12.48/8.75 (((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s))) <=> ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11854,plain,
% 12.48/8.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7)))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11853])).
% 12.48/8.75 tff(11855,plain,
% 12.48/8.75 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7))),
% 12.48/8.75 inference(transitivity,[status(thm)],[11854, 11852])).
% 12.48/8.75 tff(11856,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | ((~trans(s6, s7)) | node121(c_s, s6, s7) | (~m_Press_v_s(c_PR, c_s)))),
% 12.48/8.75 inference(quant_inst,[status(thm)],[])).
% 12.48/8.75 tff(11857,plain,
% 12.48/8.75 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node121(J0, X, Y) | (~m_Press_v_s(I0, J0)))) | (~trans(s6, s7)) | (~m_Press_v_s(c_PR, c_s)) | node121(c_s, s6, s7)),
% 12.48/8.75 inference(modus_ponens,[status(thm)],[11856, 11855])).
% 12.48/8.75 tff(11858,plain,
% 12.48/8.75 (node121(c_s, s6, s7)),
% 12.48/8.75 inference(unit_resolution,[status(thm)],[11857, 7176, 7173, 2095])).
% 12.48/8.75 tff(11859,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11860,plain,
% 12.48/8.75 ((node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7))) <=> (node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.48/8.75 inference(rewrite,[status(thm)],[])).
% 12.48/8.75 tff(11861,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7))))),
% 12.48/8.75 inference(monotonicity,[status(thm)],[11860])).
% 12.48/8.75 tff(11862,plain,
% 12.48/8.75 (((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11861, 11859])).
% 12.48/8.76 tff(11863,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | (node114(c_s, s6) | node115(c_s, s6) | node116(c_s, s6) | node117(c_s, s6) | node118(c_s, s6) | node119(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11864,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node114(J0, X) | node115(J0, X) | node116(J0, X) | node117(J0, X) | node118(J0, X) | node119(J0, X) | node120(J0, X, Y) | (~node121(J0, X, Y)))) | node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7) | (~node121(c_s, s6, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11863, 11862])).
% 12.48/8.76 tff(11865,plain,
% 12.48/8.76 (node118(c_s, s6) | node117(c_s, s6) | node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11864, 7393, 11858])).
% 12.48/8.76 tff(11866,plain,
% 12.48/8.76 (node116(c_s, s6) | node114(c_s, s6) | node119(c_s, s6) | node115(c_s, s6) | node120(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11865, 11851, 11847])).
% 12.48/8.76 tff(11867,plain,
% 12.48/8.76 (node120(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11866, 11819, 11815, 11680, 11676])).
% 12.48/8.76 tff(11868,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11869,plain,
% 12.48/8.76 (((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up))) <=> (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11870,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6))))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11869])).
% 12.48/8.76 tff(11871,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11870, 11868])).
% 12.48/8.76 tff(11872,plain,
% 12.48/8.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s5, s6)) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11873,plain,
% 12.48/8.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s5, c_up) | (~m_state_v_PM(c_s, s6, c_up)) | (~node120(c_s, s5, s6))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 12.48/8.76 tff(11874,plain,
% 12.48/8.76 (~m_state_v_PM(c_s, s6, c_up)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11873, 7410, 11687, 11665])).
% 12.48/8.76 tff(11875,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11876,plain,
% 12.48/8.76 (((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up))) <=> (m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11877,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | (m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7))))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11876])).
% 12.48/8.76 tff(11878,plain,
% 12.48/8.76 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11877, 11875])).
% 12.48/8.76 tff(11879,plain,
% 12.48/8.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | ((~node120(c_s, s6, s7)) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11880,plain,
% 12.48/8.76 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node120(J0, X, Y)) | m_state_v_PM(J0, X, V) | (~m_state_v_PM(J0, Y, V)))) | m_state_v_PM(c_s, s6, c_up) | (~m_state_v_PM(c_s, s7, c_up)) | (~node120(c_s, s6, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 12.48/8.76 tff(11881,plain,
% 12.48/8.76 (~m_state_v_PM(c_s, s7, c_up)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11880, 7410, 11874, 11867])).
% 12.48/8.76 tff(11882,plain,
% 12.48/8.76 (^[X: $i, J0: $i] : refl((m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))))),
% 12.48/8.76 inference(bind,[status(th)],[])).
% 12.48/8.76 tff(11883,plain,
% 12.48/8.76 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.48/8.76 inference(quant_intro,[status(thm)],[11882])).
% 12.48/8.76 tff(11884,plain,
% 12.48/8.76 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X))) <=> ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11885,axiom,(![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Sensor_108')).
% 12.48/8.76 tff(11886,plain,
% 12.48/8.76 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 12.48/8.76 tff(11887,plain,(
% 12.48/8.76 ![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.48/8.76 inference(skolemize,[status(sab)],[11886])).
% 12.48/8.76 tff(11888,plain,
% 12.48/8.76 (![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11887, 11883])).
% 12.48/8.76 tff(11889,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node54(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node54(c_s, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11890,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node54(c_s, s7)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11891,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node54(c_s, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 12.48/8.76 tff(11892,plain,
% 12.48/8.76 (~node54(c_s, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11891, 11888, 11881])).
% 12.48/8.76 tff(11893,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11894,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11895,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s7, c_up) | (~node53(c_s, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 12.48/8.76 tff(11896,plain,
% 12.48/8.76 (~node53(c_s, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11895, 7442, 11881])).
% 12.48/8.76 tff(11897,plain,
% 12.48/8.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11898,plain,
% 12.48/8.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11899,plain,
% 12.48/8.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s7, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s7, s8)),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 12.48/8.76 tff(11900,plain,
% 12.48/8.76 (node56(c_s, s7, s8)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11899, 62, 7431, 4830])).
% 12.48/8.76 tff(11901,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11902,plain,
% 12.48/8.76 ((node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8))) <=> (node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11903,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7)))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11902])).
% 12.48/8.76 tff(11904,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11903, 11901])).
% 12.48/8.76 tff(11905,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s7) | node54(c_s, s7) | node55(c_s, s7, s8) | (~node56(c_s, s7, s8)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11906,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s7) | (~node56(c_s, s7, s8)) | node55(c_s, s7, s8) | node53(c_s, s7)),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 12.48/8.76 tff(11907,plain,
% 12.48/8.76 (node54(c_s, s7) | node55(c_s, s7, s8) | node53(c_s, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11906, 7487, 11900])).
% 12.48/8.76 tff(11908,plain,
% 12.48/8.76 (node55(c_s, s7, s8)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11907, 11896, 11892])).
% 12.48/8.76 tff(11909,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11910,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11911,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node54(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node54(c_s, s6))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 12.48/8.76 tff(11912,plain,
% 12.48/8.76 (~node54(c_s, s6)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11911, 11888, 11874])).
% 12.48/8.76 tff(11913,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))) <=> ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11914,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | (m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11915,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_PM(J0, X, c_up) | (~node53(J0, X)))) | m_state_v_PM(c_s, s6, c_up) | (~node53(c_s, s6))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 12.48/8.76 tff(11916,plain,
% 12.48/8.76 (~node53(c_s, s6)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11915, 7442, 11874])).
% 12.48/8.76 tff(11917,plain,
% 12.48/8.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11918,plain,
% 12.48/8.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | ((~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11919,plain,
% 12.48/8.76 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node56(J0, X, Y))) | (~trans(s6, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node56(c_s, s6, s7)),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 12.48/8.76 tff(11920,plain,
% 12.48/8.76 (node56(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11919, 62, 7431, 2095])).
% 12.48/8.76 tff(11921,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11922,plain,
% 12.48/8.76 ((node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))) <=> (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11923,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11922])).
% 12.48/8.76 tff(11924,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11923, 11921])).
% 12.48/8.76 tff(11925,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | (node53(c_s, s6) | node54(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11926,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (node53(J0, X) | node54(J0, X) | node55(J0, X, Y) | (~node56(J0, X, Y)))) | node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7) | (~node56(c_s, s6, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11925, 11924])).
% 12.48/8.76 tff(11927,plain,
% 12.48/8.76 (node54(c_s, s6) | node53(c_s, s6) | node55(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11926, 7487, 11920])).
% 12.48/8.76 tff(11928,plain,
% 12.48/8.76 (node55(c_s, s6, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11927, 11916, 11912])).
% 12.48/8.76 tff(11929,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11930,plain,
% 12.48/8.76 ((m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7))) <=> (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11931,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7))))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11930])).
% 12.48/8.76 tff(11932,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11931, 11929])).
% 12.48/8.76 tff(11933,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s6) | (~node55(c_s, s6, s7)) | (~m_state_v_midPosP(c_s, s7)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11934,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | m_state_v_midPosP(c_s, s6) | (~m_state_v_midPosP(c_s, s7)) | (~node55(c_s, s6, s7))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 12.48/8.76 tff(11935,plain,
% 12.48/8.76 (~m_state_v_midPosP(c_s, s7)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11934, 7504, 11811, 11928])).
% 12.48/8.76 tff(11936,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11937,plain,
% 12.48/8.76 ((m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8))) <=> ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11938,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | ((~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8))))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11937])).
% 12.48/8.76 tff(11939,plain,
% 12.48/8.76 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11938, 11936])).
% 12.48/8.76 tff(11940,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8)) | (~m_state_v_midPosP(c_s, s8)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11941,plain,
% 12.48/8.76 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node55(J0, X, Y)) | (~m_state_v_midPosP(J0, Y)))) | (~m_state_v_midPosP(c_s, s8)) | m_state_v_midPosP(c_s, s7) | (~node55(c_s, s7, s8))),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 12.48/8.76 tff(11942,plain,
% 12.48/8.76 (~m_state_v_midPosP(c_s, s8)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11941, 7504, 11935, 11908])).
% 12.48/8.76 tff(11943,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11944,plain,
% 12.48/8.76 ((m_state_v_midPosP(c_s, s8) | (~node123(c_s, s8))) <=> ((~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8))),
% 12.48/8.76 inference(rewrite,[status(thm)],[])).
% 12.48/8.76 tff(11945,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s8) | (~node123(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | ((~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8)))),
% 12.48/8.76 inference(monotonicity,[status(thm)],[11944])).
% 12.48/8.76 tff(11946,plain,
% 12.48/8.76 (((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s8) | (~node123(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8))),
% 12.48/8.76 inference(transitivity,[status(thm)],[11945, 11943])).
% 12.48/8.76 tff(11947,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (m_state_v_midPosP(c_s, s8) | (~node123(c_s, s8)))),
% 12.48/8.76 inference(quant_inst,[status(thm)],[])).
% 12.48/8.76 tff(11948,plain,
% 12.48/8.76 ((~![X: $i, J0: $i] : (m_state_v_midPosP(J0, X) | (~node123(J0, X)))) | (~node123(c_s, s8)) | m_state_v_midPosP(c_s, s8)),
% 12.48/8.76 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 12.48/8.76 tff(11949,plain,
% 12.48/8.76 (~node123(c_s, s8)),
% 12.48/8.76 inference(unit_resolution,[status(thm)],[11948, 7857, 11942])).
% 12.48/8.76 tff(11950,plain,
% 12.48/8.76 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11951,plain,
% 12.48/8.77 (((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s))) <=> ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11952,plain,
% 12.48/8.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9)))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[11951])).
% 12.48/8.77 tff(11953,plain,
% 12.48/8.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9))),
% 12.48/8.77 inference(transitivity,[status(thm)],[11952, 11950])).
% 12.48/8.77 tff(11954,plain,
% 12.48/8.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | ((~trans(s8, s9)) | node131(c_s, s8, s9) | (~m_Robot_v_s(c_RB, c_s)))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11955,plain,
% 12.48/8.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | node131(J0, X, Y) | (~m_Robot_v_s(I0, J0)))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node131(c_s, s8, s9)),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 12.48/8.77 tff(11956,plain,
% 12.48/8.77 (node131(c_s, s8, s9)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11955, 2729, 2726, 4962])).
% 12.48/8.77 tff(11957,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11958,plain,
% 12.48/8.77 ((node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9))) <=> (node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11959,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8)))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[11958])).
% 12.48/8.77 tff(11960,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8))),
% 12.48/8.77 inference(transitivity,[status(thm)],[11959, 11957])).
% 12.48/8.77 tff(11961,plain,
% 12.48/8.77 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | (node122(c_s, s8) | node123(c_s, s8) | node124(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node127(c_s, s8) | node128(c_s, s8) | node129(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11962,plain,
% 12.48/8.77 ((~![Y: $i, X: $i, J0: $i] : (node122(J0, X) | node123(J0, X) | node124(J0, X) | node125(J0, X) | node126(J0, X) | node127(J0, X) | node128(J0, X) | node129(J0, X) | node130(J0, X, Y) | (~node131(J0, X, Y)))) | node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | (~node131(c_s, s8, s9)) | node124(c_s, s8)),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 12.48/8.77 tff(11963,plain,
% 12.48/8.77 (node129(c_s, s8) | node128(c_s, s8) | node123(c_s, s8) | node122(c_s, s8) | node125(c_s, s8) | node127(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | node124(c_s, s8)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11962, 2912, 11956])).
% 12.48/8.77 tff(11964,plain,
% 12.48/8.77 (node129(c_s, s8) | node128(c_s, s8) | node125(c_s, s8) | node126(c_s, s8) | node130(c_s, s8, s9) | node124(c_s, s8)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11963, 11949, 11520, 11516])).
% 12.48/8.77 tff(11965,plain,
% 12.48/8.77 (node130(c_s, s8, s9)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11964, 11481, 11474, 11463, 11456, 11392])).
% 12.48/8.77 tff(11966,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11967,plain,
% 12.48/8.77 (((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle)) <=> ((~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11968,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[11967])).
% 12.48/8.77 tff(11969,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[11968, 11966])).
% 12.48/8.77 tff(11970,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | ((~node130(c_s, s8, s9)) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11971,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node130(J0, X, Y)) | (~m_state_v_A1M(J0, X, V)) | m_state_v_A1M(J0, Y, V))) | (~m_state_v_A1M(c_s, s8, c_idle)) | m_state_v_A1M(c_s, s9, c_idle) | (~node130(c_s, s8, s9))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 12.48/8.77 tff(11972,plain,
% 12.48/8.77 (m_state_v_A1M(c_s, s9, c_idle)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11971, 2963, 11384, 11965])).
% 12.48/8.77 tff(11973,plain,
% 12.48/8.77 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11974,plain,
% 12.48/8.77 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8)))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11975,plain,
% 12.48/8.77 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node34(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node34(c_s, s8))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11974, 11973])).
% 12.48/8.77 tff(11976,plain,
% 12.48/8.77 (~node34(c_s, s8)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11975, 9616, 11135])).
% 12.48/8.77 tff(11977,plain,
% 12.48/8.77 (((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))) <=> ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11978,plain,
% 12.48/8.77 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | ((~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11979,plain,
% 12.48/8.77 ((~![X: $i, J0: $i] : ((~node33(J0, X)) | m_state_v_A2M(J0, X, c_extend))) | (~node33(c_s, s8)) | m_state_v_A2M(c_s, s8, c_extend)),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 12.48/8.77 tff(11980,plain,
% 12.48/8.77 (~node33(c_s, s8)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11979, 9605, 11135])).
% 12.48/8.77 tff(11981,plain,
% 12.48/8.77 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11982,plain,
% 12.48/8.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11983,plain,
% 12.48/8.77 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node36(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node36(c_s, s8, s9)),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 12.48/8.77 tff(11984,plain,
% 12.48/8.77 (node36(c_s, s8, s9)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11983, 62, 3579, 4962])).
% 12.48/8.77 tff(11985,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11986,plain,
% 12.48/8.77 ((m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))) <=> (m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11987,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[11986])).
% 12.48/8.77 tff(11988,plain,
% 12.48/8.77 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[11987, 11985])).
% 12.48/8.77 tff(11989,plain,
% 12.48/8.77 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | (m_state_v_A2M(c_s, s8, c_retract) | node34(c_s, s8) | node33(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9)))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11990,plain,
% 12.48/8.77 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | node34(J0, X) | node33(J0, X) | node35(J0, X, Y) | (~node36(J0, X, Y)))) | m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9) | (~node36(c_s, s8, s9))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 12.48/8.77 tff(11991,plain,
% 12.48/8.77 (m_state_v_A2M(c_s, s8, c_retract) | node33(c_s, s8) | node34(c_s, s8) | node35(c_s, s8, s9)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11990, 3629, 11984])).
% 12.48/8.77 tff(11992,plain,
% 12.48/8.77 (node35(c_s, s8, s9)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11991, 11980, 11117, 11976])).
% 12.48/8.77 tff(11993,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11994,plain,
% 12.48/8.77 (((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(11995,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[11994])).
% 12.48/8.77 tff(11996,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[11995, 11993])).
% 12.48/8.77 tff(11997,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s2, s3)) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(11998,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s2, c_retracted)) | m_state_v_a2ext(c_s, s3, c_retracted) | (~node35(c_s, s2, s3))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 12.48/8.77 tff(11999,plain,
% 12.48/8.77 (m_state_v_a2ext(c_s, s3, c_retracted)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[11998, 3643, 5576, 9632])).
% 12.48/8.77 tff(12000,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12001,plain,
% 12.48/8.77 (((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted)) <=> (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12002,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[12001])).
% 12.48/8.77 tff(12003,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[12002, 12000])).
% 12.48/8.77 tff(12004,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s3, s4)) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | m_state_v_a2ext(c_s, s4, c_retracted))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(12005,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s4, c_retracted) | (~m_state_v_a2ext(c_s, s3, c_retracted)) | (~node35(c_s, s3, s4))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 12.48/8.77 tff(12006,plain,
% 12.48/8.77 (m_state_v_a2ext(c_s, s4, c_retracted)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[12005, 3643, 10112, 11999])).
% 12.48/8.77 tff(12007,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12008,plain,
% 12.48/8.77 (((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted)) <=> (m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12009,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[12008])).
% 12.48/8.77 tff(12010,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[12009, 12007])).
% 12.48/8.77 tff(12011,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s4, s5)) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | m_state_v_a2ext(c_s, s5, c_retracted))),
% 12.48/8.77 inference(quant_inst,[status(thm)],[])).
% 12.48/8.77 tff(12012,plain,
% 12.48/8.77 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s5, c_retracted) | (~m_state_v_a2ext(c_s, s4, c_retracted)) | (~node35(c_s, s4, s5))),
% 12.48/8.77 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 12.48/8.77 tff(12013,plain,
% 12.48/8.77 (m_state_v_a2ext(c_s, s5, c_retracted)),
% 12.48/8.77 inference(unit_resolution,[status(thm)],[12012, 3643, 12006, 10520])).
% 12.48/8.77 tff(12014,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12015,plain,
% 12.48/8.77 (((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted)) <=> (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.48/8.77 inference(rewrite,[status(thm)],[])).
% 12.48/8.77 tff(12016,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6))))),
% 12.48/8.77 inference(monotonicity,[status(thm)],[12015])).
% 12.48/8.77 tff(12017,plain,
% 12.48/8.77 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6)))),
% 12.48/8.77 inference(transitivity,[status(thm)],[12016, 12014])).
% 12.48/8.78 tff(12018,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s5, s6)) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | m_state_v_a2ext(c_s, s6, c_retracted))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12019,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s6, c_retracted) | (~m_state_v_a2ext(c_s, s5, c_retracted)) | (~node35(c_s, s5, s6))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12018, 12017])).
% 12.48/8.78 tff(12020,plain,
% 12.48/8.78 (m_state_v_a2ext(c_s, s6, c_retracted)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12019, 3643, 12013, 11031])).
% 12.48/8.78 tff(12021,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12022,plain,
% 12.48/8.78 (((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted)) <=> (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12023,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12022])).
% 12.48/8.78 tff(12024,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12023, 12021])).
% 12.48/8.78 tff(12025,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s6, s7)) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | m_state_v_a2ext(c_s, s7, c_retracted))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12026,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s7, c_retracted) | (~m_state_v_a2ext(c_s, s6, c_retracted)) | (~node35(c_s, s6, s7))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 12.48/8.78 tff(12027,plain,
% 12.48/8.78 (m_state_v_a2ext(c_s, s7, c_retracted)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12026, 3643, 12020, 11187])).
% 12.48/8.78 tff(12028,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12029,plain,
% 12.48/8.78 (((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted)) <=> (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12030,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12029])).
% 12.48/8.78 tff(12031,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12030, 12028])).
% 12.48/8.78 tff(12032,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s7, s8)) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | m_state_v_a2ext(c_s, s8, c_retracted))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12033,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | m_state_v_a2ext(c_s, s8, c_retracted) | (~m_state_v_a2ext(c_s, s7, c_retracted)) | (~node35(c_s, s7, s8))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 12.48/8.78 tff(12034,plain,
% 12.48/8.78 (m_state_v_a2ext(c_s, s8, c_retracted)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12033, 3643, 12027, 11167])).
% 12.48/8.78 tff(12035,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12036,plain,
% 12.48/8.78 (((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted)) <=> ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12037,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12036])).
% 12.48/8.78 tff(12038,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12037, 12035])).
% 12.48/8.78 tff(12039,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | ((~node35(c_s, s8, s9)) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12040,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node35(J0, X, Y)) | (~m_state_v_a2ext(J0, X, V)) | m_state_v_a2ext(J0, Y, V))) | (~m_state_v_a2ext(c_s, s8, c_retracted)) | m_state_v_a2ext(c_s, s9, c_retracted) | (~node35(c_s, s8, s9))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 12.48/8.78 tff(12041,plain,
% 12.48/8.78 (m_state_v_a2ext(c_s, s9, c_retracted)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12040, 3643, 12034, 11992])).
% 12.48/8.78 tff(12042,plain,
% 12.48/8.78 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12043,plain,
% 12.48/8.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12044,plain,
% 12.48/8.78 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node149(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node149(c_s, s8, s9)),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12043, 12042])).
% 12.48/8.78 tff(12045,plain,
% 12.48/8.78 (node149(c_s, s8, s9)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12044, 2729, 3295, 4962])).
% 12.48/8.78 tff(12046,plain,
% 12.48/8.78 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node146(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node146(c_s, s8)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12047,plain,
% 12.48/8.78 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node146(c_s, s8)))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12048,plain,
% 12.48/8.78 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node146(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node146(c_s, s8))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 12.48/8.78 tff(12049,plain,
% 12.48/8.78 (~node146(c_s, s8)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12048, 8404, 11135])).
% 12.48/8.78 tff(12050,plain,
% 12.48/8.78 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node147(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node147(c_s, s8)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12051,plain,
% 12.48/8.78 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | (m_state_v_A2M(c_s, s8, c_extend) | (~node147(c_s, s8)))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12052,plain,
% 12.48/8.78 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_extend) | (~node147(J0, X)))) | m_state_v_A2M(c_s, s8, c_extend) | (~node147(c_s, s8))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 12.48/8.78 tff(12053,plain,
% 12.48/8.78 (~node147(c_s, s8)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12052, 8393, 11135])).
% 12.48/8.78 tff(12054,plain,
% 12.48/8.78 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12055,plain,
% 12.48/8.78 ((node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9))) <=> (node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12056,plain,
% 12.48/8.78 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12055])).
% 12.48/8.78 tff(12057,plain,
% 12.48/8.78 (((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12056, 12054])).
% 12.48/8.78 tff(12058,plain,
% 12.48/8.78 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | (node146(c_s, s8) | node147(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9)))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12059,plain,
% 12.48/8.78 ((~![Y: $i, X: $i, J0: $i] : (node146(J0, X) | node147(J0, X) | node148(J0, X, Y) | (~node149(J0, X, Y)))) | node147(c_s, s8) | node146(c_s, s8) | node148(c_s, s8, s9) | (~node149(c_s, s8, s9))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 12.48/8.78 tff(12060,plain,
% 12.48/8.78 (node148(c_s, s8, s9)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12059, 3331, 12053, 12049, 12045])).
% 12.48/8.78 tff(12061,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12062,plain,
% 12.48/8.78 (((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off)) <=> (m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12063,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12062])).
% 12.48/8.78 tff(12064,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12063, 12061])).
% 12.48/8.78 tff(12065,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s2, s3)) | (~m_state_v_A2Mag(c_s, s2, c_off)) | m_state_v_A2Mag(c_s, s3, c_off))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12066,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s3, c_off) | (~m_state_v_A2Mag(c_s, s2, c_off)) | (~node148(c_s, s2, s3))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 12.48/8.78 tff(12067,plain,
% 12.48/8.78 (m_state_v_A2Mag(c_s, s3, c_off)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12066, 3348, 5491, 8420])).
% 12.48/8.78 tff(12068,assumption,(node148(c_s, s3, s4)), introduced(assumption)).
% 12.48/8.78 tff(12069,assumption,(~m_state_v_A2Mag(c_s, s4, c_off)), introduced(assumption)).
% 12.48/8.78 tff(12070,assumption,(m_state_v_A2Mag(c_s, s3, c_off)), introduced(assumption)).
% 12.48/8.78 tff(12071,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12072,plain,
% 12.48/8.78 (((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off)) <=> ((~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12073,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12072])).
% 12.48/8.78 tff(12074,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12073, 12071])).
% 12.48/8.78 tff(12075,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s3, s4)) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12076,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 12.48/8.78 tff(12077,plain,
% 12.48/8.78 ($false),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12076, 3348, 12070, 12069, 12068])).
% 12.48/8.78 tff(12078,plain,((~m_state_v_A2Mag(c_s, s3, c_off)) | m_state_v_A2Mag(c_s, s4, c_off) | (~node148(c_s, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 12.48/8.78 tff(12079,plain,
% 12.48/8.78 (m_state_v_A2Mag(c_s, s4, c_off)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12078, 9768, 12067])).
% 12.48/8.78 tff(12080,assumption,(node148(c_s, s4, s5)), introduced(assumption)).
% 12.48/8.78 tff(12081,assumption,(~m_state_v_A2Mag(c_s, s5, c_off)), introduced(assumption)).
% 12.48/8.78 tff(12082,assumption,(m_state_v_A2Mag(c_s, s4, c_off)), introduced(assumption)).
% 12.48/8.78 tff(12083,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12084,plain,
% 12.48/8.78 (((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off)) <=> ((~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12085,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12084])).
% 12.48/8.78 tff(12086,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12085, 12083])).
% 12.48/8.78 tff(12087,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s4, s5)) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12088,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5))),
% 12.48/8.78 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 12.48/8.78 tff(12089,plain,
% 12.48/8.78 ($false),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12088, 3348, 12082, 12081, 12080])).
% 12.48/8.78 tff(12090,plain,((~m_state_v_A2Mag(c_s, s4, c_off)) | m_state_v_A2Mag(c_s, s5, c_off) | (~node148(c_s, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 12.48/8.78 tff(12091,plain,
% 12.48/8.78 (m_state_v_A2Mag(c_s, s5, c_off)),
% 12.48/8.78 inference(unit_resolution,[status(thm)],[12090, 10143, 12079])).
% 12.48/8.78 tff(12092,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12093,plain,
% 12.48/8.78 (((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off)) <=> (m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6)))),
% 12.48/8.78 inference(rewrite,[status(thm)],[])).
% 12.48/8.78 tff(12094,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6))))),
% 12.48/8.78 inference(monotonicity,[status(thm)],[12093])).
% 12.48/8.78 tff(12095,plain,
% 12.48/8.78 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6)))),
% 12.48/8.78 inference(transitivity,[status(thm)],[12094, 12092])).
% 12.48/8.78 tff(12096,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s5, s6)) | (~m_state_v_A2Mag(c_s, s5, c_off)) | m_state_v_A2Mag(c_s, s6, c_off))),
% 12.48/8.78 inference(quant_inst,[status(thm)],[])).
% 12.48/8.78 tff(12097,plain,
% 12.48/8.78 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s6, c_off) | (~m_state_v_A2Mag(c_s, s5, c_off)) | (~node148(c_s, s5, s6))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 12.48/8.79 tff(12098,plain,
% 12.48/8.79 (m_state_v_A2Mag(c_s, s6, c_off)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12097, 3348, 12091, 10675])).
% 12.48/8.79 tff(12099,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12100,plain,
% 12.48/8.79 (((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off)) <=> ((~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12101,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12100])).
% 12.48/8.79 tff(12102,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12101, 12099])).
% 12.48/8.79 tff(12103,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s6, s7)) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12104,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s6, c_off)) | m_state_v_A2Mag(c_s, s7, c_off) | (~node148(c_s, s6, s7))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 12.48/8.79 tff(12105,plain,
% 12.48/8.79 (m_state_v_A2Mag(c_s, s7, c_off)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12104, 3348, 12098, 10924])).
% 12.48/8.79 tff(12106,assumption,(m_state_v_A2Mag(c_s, s7, c_off)), introduced(assumption)).
% 12.48/8.79 tff(12107,assumption,(~m_state_v_A2Mag(c_s, s8, c_off)), introduced(assumption)).
% 12.48/8.79 tff(12108,assumption,(node148(c_s, s7, s8)), introduced(assumption)).
% 12.48/8.79 tff(12109,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12110,plain,
% 12.48/8.79 (((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off)) <=> (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12111,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12110])).
% 12.48/8.79 tff(12112,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12111, 12109])).
% 12.48/8.79 tff(12113,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s7, s8)) | (~m_state_v_A2Mag(c_s, s7, c_off)) | m_state_v_A2Mag(c_s, s8, c_off))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12114,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | m_state_v_A2Mag(c_s, s8, c_off) | (~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 12.48/8.79 tff(12115,plain,
% 12.48/8.79 ($false),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12114, 3348, 12108, 12107, 12106])).
% 12.48/8.79 tff(12116,plain,((~m_state_v_A2Mag(c_s, s7, c_off)) | (~node148(c_s, s7, s8)) | m_state_v_A2Mag(c_s, s8, c_off)), inference(lemma,lemma(discharge,[]))).
% 12.48/8.79 tff(12117,plain,
% 12.48/8.79 (m_state_v_A2Mag(c_s, s8, c_off)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12116, 10976, 12105])).
% 12.48/8.79 tff(12118,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12119,plain,
% 12.48/8.79 (((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off)) <=> ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12120,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12119])).
% 12.48/8.79 tff(12121,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12120, 12118])).
% 12.48/8.79 tff(12122,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | ((~node148(c_s, s8, s9)) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12123,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node148(J0, X, Y)) | (~m_state_v_A2Mag(J0, X, V)) | m_state_v_A2Mag(J0, Y, V))) | (~m_state_v_A2Mag(c_s, s8, c_off)) | m_state_v_A2Mag(c_s, s9, c_off) | (~node148(c_s, s8, s9))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 12.48/8.79 tff(12124,plain,
% 12.48/8.79 (m_state_v_A2Mag(c_s, s9, c_off)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12123, 3348, 12117, 12060])).
% 12.48/8.79 tff(12125,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12126,plain,
% 12.48/8.79 (((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle)) <=> (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12127,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12126])).
% 12.48/8.79 tff(12128,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12127, 12125])).
% 12.48/8.79 tff(12129,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s2, s3)) | (~m_state_v_A2M(c_s, s2, c_idle)) | m_state_v_A2M(c_s, s3, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12130,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s3, c_idle) | (~m_state_v_A2M(c_s, s2, c_idle)) | (~node140(c_s, s2, s3))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 12.48/8.79 tff(12131,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s3, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12130, 3278, 5406, 8534])).
% 12.48/8.79 tff(12132,assumption,(node140(c_s, s3, s4)), introduced(assumption)).
% 12.48/8.79 tff(12133,assumption,(m_state_v_A2M(c_s, s3, c_idle)), introduced(assumption)).
% 12.48/8.79 tff(12134,assumption,(~m_state_v_A2M(c_s, s4, c_idle)), introduced(assumption)).
% 12.48/8.79 tff(12135,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12136,plain,
% 12.48/8.79 (((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle)) <=> (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12137,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12136])).
% 12.48/8.79 tff(12138,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12137, 12135])).
% 12.48/8.79 tff(12139,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s3, s4)) | (~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12140,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s4, c_idle) | (~m_state_v_A2M(c_s, s3, c_idle)) | (~node140(c_s, s3, s4))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 12.48/8.79 tff(12141,plain,
% 12.48/8.79 ($false),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12140, 3278, 12134, 12133, 12132])).
% 12.48/8.79 tff(12142,plain,((~m_state_v_A2M(c_s, s3, c_idle)) | m_state_v_A2M(c_s, s4, c_idle) | (~node140(c_s, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 12.48/8.79 tff(12143,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s4, c_idle) | (~node140(c_s, s3, s4))),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12142, 12131])).
% 12.48/8.79 tff(12144,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s4, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12143, 9711])).
% 12.48/8.79 tff(12145,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12146,plain,
% 12.48/8.79 (((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle)) <=> ((~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12147,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12146])).
% 12.48/8.79 tff(12148,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12147, 12145])).
% 12.48/8.79 tff(12149,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s4, s5)) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12150,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s4, c_idle)) | m_state_v_A2M(c_s, s5, c_idle) | (~node140(c_s, s4, s5))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 12.48/8.79 tff(12151,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s5, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12150, 3278, 12144, 10633])).
% 12.48/8.79 tff(12152,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12153,plain,
% 12.48/8.79 (((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle)) <=> (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12154,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12153])).
% 12.48/8.79 tff(12155,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12154, 12152])).
% 12.48/8.79 tff(12156,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s5, s6)) | (~m_state_v_A2M(c_s, s5, c_idle)) | m_state_v_A2M(c_s, s6, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12157,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s6, c_idle) | (~m_state_v_A2M(c_s, s5, c_idle)) | (~node140(c_s, s5, s6))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 12.48/8.79 tff(12158,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s6, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12157, 3278, 12151, 10582])).
% 12.48/8.79 tff(12159,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12160,plain,
% 12.48/8.79 (((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle)) <=> (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12161,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12160])).
% 12.48/8.79 tff(12162,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12161, 12159])).
% 12.48/8.79 tff(12163,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s6, s7)) | (~m_state_v_A2M(c_s, s6, c_idle)) | m_state_v_A2M(c_s, s7, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12164,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s7, c_idle) | (~m_state_v_A2M(c_s, s6, c_idle)) | (~node140(c_s, s6, s7))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 12.48/8.79 tff(12165,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s7, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12164, 3278, 12158, 11058])).
% 12.48/8.79 tff(12166,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12167,plain,
% 12.48/8.79 (((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle)) <=> (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12168,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8))))),
% 12.48/8.79 inference(monotonicity,[status(thm)],[12167])).
% 12.48/8.79 tff(12169,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8)))),
% 12.48/8.79 inference(transitivity,[status(thm)],[12168, 12166])).
% 12.48/8.79 tff(12170,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s7, s8)) | (~m_state_v_A2M(c_s, s7, c_idle)) | m_state_v_A2M(c_s, s8, c_idle))),
% 12.48/8.79 inference(quant_inst,[status(thm)],[])).
% 12.48/8.79 tff(12171,plain,
% 12.48/8.79 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | m_state_v_A2M(c_s, s8, c_idle) | (~m_state_v_A2M(c_s, s7, c_idle)) | (~node140(c_s, s7, s8))),
% 12.48/8.79 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 12.48/8.79 tff(12172,plain,
% 12.48/8.79 (m_state_v_A2M(c_s, s8, c_idle)),
% 12.48/8.79 inference(unit_resolution,[status(thm)],[12171, 3278, 11109, 12165])).
% 12.48/8.79 tff(12173,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12174,plain,
% 12.48/8.79 (((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle)) <=> ((~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9)))),
% 12.48/8.79 inference(rewrite,[status(thm)],[])).
% 12.48/8.79 tff(12175,plain,
% 12.48/8.79 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12174])).
% 12.48/8.80 tff(12176,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12175, 12173])).
% 12.48/8.80 tff(12177,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | ((~node140(c_s, s8, s9)) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12178,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node140(J0, X, Y)) | (~m_state_v_A2M(J0, X, V)) | m_state_v_A2M(J0, Y, V))) | (~m_state_v_A2M(c_s, s8, c_idle)) | m_state_v_A2M(c_s, s9, c_idle) | (~node140(c_s, s8, s9))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 12.48/8.80 tff(12179,plain,
% 12.48/8.80 (m_state_v_A2M(c_s, s9, c_idle)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12178, 3278, 12172, 11222])).
% 12.48/8.80 tff(12180,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | ((~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12181,plain,
% 12.48/8.80 ((m_state_v_A1M(c_s, s8, c_extend) | (~node143(c_s, s8))) <=> ((~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12182,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node143(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | ((~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend)))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12181])).
% 12.48/8.80 tff(12183,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node143(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12182, 12180])).
% 12.48/8.80 tff(12184,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node143(c_s, s8)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12185,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node143(J0, X)))) | (~node143(c_s, s8)) | m_state_v_A1M(c_s, s8, c_extend)),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 12.48/8.80 tff(12186,plain,
% 12.48/8.80 (~node143(c_s, s8)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12185, 3534, 11388])).
% 12.48/8.80 tff(12187,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node142(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node142(c_s, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12188,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node142(c_s, s8)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12189,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node142(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node142(c_s, s8))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 12.48/8.80 tff(12190,plain,
% 12.48/8.80 (~node142(c_s, s8)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12189, 3523, 11388])).
% 12.48/8.80 tff(12191,plain,
% 12.48/8.80 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12192,plain,
% 12.48/8.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12193,plain,
% 12.48/8.80 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node145(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node145(c_s, s8, s9)),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12192, 12191])).
% 12.48/8.80 tff(12194,plain,
% 12.48/8.80 (node145(c_s, s8, s9)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12193, 2729, 3512, 4962])).
% 12.48/8.80 tff(12195,plain,
% 12.48/8.80 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12196,plain,
% 12.48/8.80 ((node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9))) <=> (node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12197,plain,
% 12.48/8.80 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9)))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12196])).
% 12.48/8.80 tff(12198,plain,
% 12.48/8.80 (((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12197, 12195])).
% 12.48/8.80 tff(12199,plain,
% 12.48/8.80 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9) | (~node145(c_s, s8, s9)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12200,plain,
% 12.48/8.80 ((~![Y: $i, X: $i, J0: $i] : (node143(J0, X) | node142(J0, X) | node144(J0, X, Y) | (~node145(J0, X, Y)))) | node143(c_s, s8) | node142(c_s, s8) | (~node145(c_s, s8, s9)) | node144(c_s, s8, s9)),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 12.48/8.80 tff(12201,plain,
% 12.48/8.80 (node143(c_s, s8) | node142(c_s, s8) | node144(c_s, s8, s9)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12200, 3548, 12194])).
% 12.48/8.80 tff(12202,plain,
% 12.48/8.80 (node144(c_s, s8, s9)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12201, 12190, 12186])).
% 12.48/8.80 tff(12203,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12204,plain,
% 12.48/8.80 (((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1Mag(c_s, s6, c_on)) <=> (m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12205,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1Mag(c_s, s6, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12204])).
% 12.48/8.80 tff(12206,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1Mag(c_s, s6, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12205, 12203])).
% 12.48/8.80 tff(12207,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s5, s6)) | (~m_state_v_A1Mag(c_s, s5, c_on)) | m_state_v_A1Mag(c_s, s6, c_on))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12208,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s6, c_on) | (~m_state_v_A1Mag(c_s, s5, c_on)) | (~node144(c_s, s5, s6))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12207, 12206])).
% 12.48/8.80 tff(12209,plain,
% 12.48/8.80 (m_state_v_A1Mag(c_s, s6, c_on)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12208, 3562, 9221, 11336])).
% 12.48/8.80 tff(12210,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12211,plain,
% 12.48/8.80 (((~node144(c_s, s6, s7)) | (~m_state_v_A1Mag(c_s, s6, c_on)) | m_state_v_A1Mag(c_s, s7, c_on)) <=> (m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12212,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s6, s7)) | (~m_state_v_A1Mag(c_s, s6, c_on)) | m_state_v_A1Mag(c_s, s7, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12211])).
% 12.48/8.80 tff(12213,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s6, s7)) | (~m_state_v_A1Mag(c_s, s6, c_on)) | m_state_v_A1Mag(c_s, s7, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12212, 12210])).
% 12.48/8.80 tff(12214,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s6, s7)) | (~m_state_v_A1Mag(c_s, s6, c_on)) | m_state_v_A1Mag(c_s, s7, c_on))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12215,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s7, c_on) | (~m_state_v_A1Mag(c_s, s6, c_on)) | (~node144(c_s, s6, s7))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12214, 12213])).
% 12.48/8.80 tff(12216,plain,
% 12.48/8.80 (m_state_v_A1Mag(c_s, s7, c_on)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12215, 3562, 12209, 11316])).
% 12.48/8.80 tff(12217,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12218,plain,
% 12.48/8.80 (((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on)) <=> (m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12219,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12218])).
% 12.48/8.80 tff(12220,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12219, 12217])).
% 12.48/8.80 tff(12221,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s7, s8)) | (~m_state_v_A1Mag(c_s, s7, c_on)) | m_state_v_A1Mag(c_s, s8, c_on))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12222,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | m_state_v_A1Mag(c_s, s8, c_on) | (~m_state_v_A1Mag(c_s, s7, c_on)) | (~node144(c_s, s7, s8))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 12.48/8.80 tff(12223,plain,
% 12.48/8.80 (m_state_v_A1Mag(c_s, s8, c_on)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12222, 3562, 11498, 12216])).
% 12.48/8.80 tff(12224,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12225,plain,
% 12.48/8.80 (((~node144(c_s, s8, s9)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on)) <=> ((~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12226,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s8, s9)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12225])).
% 12.48/8.80 tff(12227,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s8, s9)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12226, 12224])).
% 12.48/8.80 tff(12228,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | ((~node144(c_s, s8, s9)) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12229,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node144(J0, X, Y)) | (~m_state_v_A1Mag(J0, X, V)) | m_state_v_A1Mag(J0, Y, V))) | (~m_state_v_A1Mag(c_s, s8, c_on)) | m_state_v_A1Mag(c_s, s9, c_on) | (~node144(c_s, s8, s9))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 12.48/8.80 tff(12230,plain,
% 12.48/8.80 (m_state_v_A1Mag(c_s, s9, c_on)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12229, 3562, 12223, 12202])).
% 12.48/8.80 tff(12231,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12232,plain,
% 12.48/8.80 ((m_state_v_A1M(c_s, s8, c_retract) | (~node150(c_s, s8))) <=> ((~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12233,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node150(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | ((~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12232])).
% 12.48/8.80 tff(12234,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node150(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12233, 12231])).
% 12.48/8.80 tff(12235,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node150(c_s, s8)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12236,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node150(J0, X)))) | (~node150(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 12.48/8.80 tff(12237,plain,
% 12.48/8.80 (~node150(c_s, s8)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12236, 3453, 11467])).
% 12.48/8.80 tff(12238,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12239,plain,
% 12.48/8.80 ((m_state_v_A1M(c_s, s8, c_retract) | (~node153(c_s, s8))) <=> ((~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12240,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node153(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | ((~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12239])).
% 12.48/8.80 tff(12241,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node153(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12240, 12238])).
% 12.48/8.80 tff(12242,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (m_state_v_A1M(c_s, s8, c_retract) | (~node153(c_s, s8)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12243,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | (~node153(J0, X)))) | (~node153(c_s, s8)) | m_state_v_A1M(c_s, s8, c_retract)),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12242, 12241])).
% 12.48/8.80 tff(12244,plain,
% 12.48/8.80 (~node153(c_s, s8)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12243, 3464, 11467])).
% 12.48/8.80 tff(12245,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12246,plain,
% 12.48/8.80 (((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress))) <=> (m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12247,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8))))),
% 12.48/8.80 inference(monotonicity,[status(thm)],[12246])).
% 12.48/8.80 tff(12248,plain,
% 12.48/8.80 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.80 inference(transitivity,[status(thm)],[12247, 12245])).
% 12.48/8.80 tff(12249,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)))),
% 12.48/8.80 inference(quant_inst,[status(thm)],[])).
% 12.48/8.80 tff(12250,plain,
% 12.48/8.80 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm1topress) | (~m_state_v_angle(c_s, s8, c_arm1topress)) | (~node41(c_s, s7, s8))),
% 12.48/8.80 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 12.48/8.80 tff(12251,plain,
% 12.48/8.80 (~m_state_v_angle(c_s, s8, c_arm1topress)),
% 12.48/8.80 inference(unit_resolution,[status(thm)],[12250, 2567, 11288, 10828])).
% 12.48/8.80 tff(12252,plain,
% 12.48/8.80 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node156(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node156(c_s, s8)))),
% 12.48/8.80 inference(rewrite,[status(thm)],[])).
% 12.48/8.80 tff(12253,plain,
% 12.48/8.80 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm1topress) | (~node156(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12254,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm1topress) | (~node156(J0, X)))) | m_state_v_angle(c_s, s8, c_arm1topress) | (~node156(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12253, 12252])).
% 12.48/8.81 tff(12255,plain,
% 12.48/8.81 (~node156(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12254, 3442, 12251])).
% 12.48/8.81 tff(12256,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12257,plain,
% 12.48/8.81 (((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress))) <=> (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12258,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | (m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8))))),
% 12.48/8.81 inference(monotonicity,[status(thm)],[12257])).
% 12.48/8.81 tff(12259,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8)))),
% 12.48/8.81 inference(transitivity,[status(thm)],[12258, 12256])).
% 12.48/8.81 tff(12260,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | ((~node41(c_s, s7, s8)) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12261,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node41(J0, X, Y)) | m_state_v_angle(J0, X, V) | (~m_state_v_angle(J0, Y, V)))) | m_state_v_angle(c_s, s7, c_arm2topress) | (~m_state_v_angle(c_s, s8, c_arm2topress)) | (~node41(c_s, s7, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 12.48/8.81 tff(12262,plain,
% 12.48/8.81 (~m_state_v_angle(c_s, s8, c_arm2topress)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12261, 2567, 10963, 10828])).
% 12.48/8.81 tff(12263,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm2topress) | (~node154(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s8, c_arm2topress) | (~node154(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12264,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | (m_state_v_angle(c_s, s8, c_arm2topress) | (~node154(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12265,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_angle(J0, X, c_arm2topress) | (~node154(J0, X)))) | m_state_v_angle(c_s, s8, c_arm2topress) | (~node154(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 12.48/8.81 tff(12266,plain,
% 12.48/8.81 (~node154(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12265, 3409, 12262])).
% 12.48/8.81 tff(12267,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12268,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12269,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node152(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node152(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 12.48/8.81 tff(12270,plain,
% 12.48/8.81 (~node152(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12269, 6911, 11117])).
% 12.48/8.81 tff(12271,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12272,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | (m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12273,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2M(J0, X, c_retract) | (~node151(J0, X)))) | m_state_v_A2M(c_s, s8, c_retract) | (~node151(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12272, 12271])).
% 12.48/8.81 tff(12274,plain,
% 12.48/8.81 (~node151(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12273, 6993, 11117])).
% 12.48/8.81 tff(12275,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node157(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node157(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12276,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | (m_state_v_A1Mag(c_s, s8, c_off) | (~node157(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12277,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1Mag(J0, X, c_off) | (~node157(J0, X)))) | m_state_v_A1Mag(c_s, s8, c_off) | (~node157(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 12.48/8.81 tff(12278,plain,
% 12.48/8.81 (~node157(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12277, 10064, 11505])).
% 12.48/8.81 tff(12279,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s8, c_on) | (~node155(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s8, c_on) | (~node155(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12280,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | (m_state_v_A2Mag(c_s, s8, c_on) | (~node155(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12281,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A2Mag(J0, X, c_on) | (~node155(J0, X)))) | m_state_v_A2Mag(c_s, s8, c_on) | (~node155(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 12.48/8.81 tff(12282,plain,
% 12.48/8.81 (~node155(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12281, 6922, 10983])).
% 12.48/8.81 tff(12283,plain,
% 12.48/8.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12284,plain,
% 12.48/8.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12285,plain,
% 12.48/8.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~trans(s8, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s8, s9)),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12284, 12283])).
% 12.48/8.81 tff(12286,plain,
% 12.48/8.81 (node159(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12285, 2729, 3365, 4962])).
% 12.48/8.81 tff(12287,plain,
% 12.48/8.81 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12288,plain,
% 12.48/8.81 ((node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | node154(c_s, s8) | node155(c_s, s8) | node156(c_s, s8) | node157(c_s, s8) | node158(c_s, s8, s9) | (~node159(c_s, s8, s9))) <=> (node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12289,plain,
% 12.48/8.81 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | node154(c_s, s8) | node155(c_s, s8) | node156(c_s, s8) | node157(c_s, s8) | node158(c_s, s8, s9) | (~node159(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9)))),
% 12.48/8.81 inference(monotonicity,[status(thm)],[12288])).
% 12.48/8.81 tff(12290,plain,
% 12.48/8.81 (((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | node154(c_s, s8) | node155(c_s, s8) | node156(c_s, s8) | node157(c_s, s8) | node158(c_s, s8, s9) | (~node159(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9))),
% 12.48/8.81 inference(transitivity,[status(thm)],[12289, 12287])).
% 12.48/8.81 tff(12291,plain,
% 12.48/8.81 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | (node150(c_s, s8) | node151(c_s, s8) | node152(c_s, s8) | node153(c_s, s8) | node154(c_s, s8) | node155(c_s, s8) | node156(c_s, s8) | node157(c_s, s8) | node158(c_s, s8, s9) | (~node159(c_s, s8, s9)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12292,plain,
% 12.48/8.81 ((~![Y: $i, X: $i, J0: $i] : (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | node154(J0, X) | node155(J0, X) | node156(J0, X) | node157(J0, X) | node158(J0, X, Y) | (~node159(J0, X, Y)))) | node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | (~node159(c_s, s8, s9)) | node158(c_s, s8, s9)),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12291, 12290])).
% 12.48/8.81 tff(12293,plain,
% 12.48/8.81 (node157(c_s, s8) | node156(c_s, s8) | node155(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node152(c_s, s8) | node151(c_s, s8) | node158(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12292, 3478, 12286])).
% 12.48/8.81 tff(12294,plain,
% 12.48/8.81 (node156(c_s, s8) | node154(c_s, s8) | node153(c_s, s8) | node150(c_s, s8) | node158(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12293, 12282, 12278, 12274, 12270])).
% 12.48/8.81 tff(12295,plain,
% 12.48/8.81 (node158(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12294, 12266, 12255, 12244, 12237])).
% 12.48/8.81 tff(12296,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12297,plain,
% 12.48/8.81 (((~node158(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock)) <=> ((~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12298,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9))))),
% 12.48/8.81 inference(monotonicity,[status(thm)],[12297])).
% 12.48/8.81 tff(12299,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9)))),
% 12.48/8.81 inference(transitivity,[status(thm)],[12298, 12296])).
% 12.48/8.81 tff(12300,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | ((~node158(c_s, s8, s9)) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12301,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | (~m_state_v_RRM(J0, X, V)) | m_state_v_RRM(J0, Y, V))) | (~m_state_v_RRM(c_s, s8, c_counterclock)) | m_state_v_RRM(c_s, s9, c_counterclock) | (~node158(c_s, s8, s9))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 12.48/8.81 tff(12302,plain,
% 12.48/8.81 (m_state_v_RRM(c_s, s9, c_counterclock)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12301, 3495, 12295, 10486])).
% 12.48/8.81 tff(12303,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s8, s9)) | m_state_v_RRM(c_s, s8, c_idle) | (~m_state_v_RRM(c_s, s9, c_idle)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~node158(c_s, s8, s9)) | m_state_v_RRM(c_s, s8, c_idle) | (~m_state_v_RRM(c_s, s9, c_idle)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12304,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | ((~node158(c_s, s8, s9)) | m_state_v_RRM(c_s, s8, c_idle) | (~m_state_v_RRM(c_s, s9, c_idle)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12305,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node158(J0, X, Y)) | m_state_v_RRM(J0, X, V) | (~m_state_v_RRM(J0, Y, V)))) | (~node158(c_s, s8, s9)) | m_state_v_RRM(c_s, s8, c_idle) | (~m_state_v_RRM(c_s, s9, c_idle))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 12.48/8.81 tff(12306,plain,
% 12.48/8.81 ((~node158(c_s, s8, s9)) | m_state_v_RRM(c_s, s8, c_idle) | (~m_state_v_RRM(c_s, s9, c_idle))),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12305, 5151])).
% 12.48/8.81 tff(12307,plain,
% 12.48/8.81 (~m_state_v_RRM(c_s, s9, c_idle)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12306, 12295, 10876])).
% 12.48/8.81 tff(12308,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12309,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12310,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node30(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node30(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12309, 12308])).
% 12.48/8.81 tff(12311,plain,
% 12.48/8.81 (~node30(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12310, 3025, 11388])).
% 12.48/8.81 tff(12312,plain,
% 12.48/8.81 (((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))) <=> ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12313,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | (m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12314,plain,
% 12.48/8.81 ((~![X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_extend) | (~node29(J0, X)))) | m_state_v_A1M(c_s, s8, c_extend) | (~node29(c_s, s8))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 12.48/8.81 tff(12315,plain,
% 12.48/8.81 (~node29(c_s, s8)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12314, 2628, 11388])).
% 12.48/8.81 tff(12316,plain,
% 12.48/8.81 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12317,plain,
% 12.48/8.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | ((~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12318,plain,
% 12.48/8.81 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node32(J0, X, Y))) | (~trans(s8, s9)) | (~m_Sensor_v_s(c_SEN, c_s)) | node32(c_s, s8, s9)),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 12.48/8.81 tff(12319,plain,
% 12.48/8.81 (node32(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12318, 62, 2598, 4962])).
% 12.48/8.81 tff(12320,plain,
% 12.48/8.81 (((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))) <=> ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12321,plain,
% 12.48/8.81 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9)))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12322,plain,
% 12.48/8.81 ((~![Y: $i, X: $i, J0: $i] : (m_state_v_A1M(J0, X, c_retract) | node29(J0, X) | node30(J0, X) | node31(J0, X, Y) | (~node32(J0, X, Y)))) | m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9) | (~node32(c_s, s8, s9))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 12.48/8.81 tff(12323,plain,
% 12.48/8.81 (m_state_v_A1M(c_s, s8, c_retract) | node29(c_s, s8) | node30(c_s, s8) | node31(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12322, 3043, 12319])).
% 12.48/8.81 tff(12324,plain,
% 12.48/8.81 (node31(c_s, s8, s9)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12323, 12315, 11467, 12311])).
% 12.48/8.81 tff(12325,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12326,plain,
% 12.48/8.81 (((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted)) <=> ((~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9)))),
% 12.48/8.81 inference(rewrite,[status(thm)],[])).
% 12.48/8.81 tff(12327,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9))))),
% 12.48/8.81 inference(monotonicity,[status(thm)],[12326])).
% 12.48/8.81 tff(12328,plain,
% 12.48/8.81 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9)))),
% 12.48/8.81 inference(transitivity,[status(thm)],[12327, 12325])).
% 12.48/8.81 tff(12329,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | ((~node31(c_s, s8, s9)) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted))),
% 12.48/8.81 inference(quant_inst,[status(thm)],[])).
% 12.48/8.81 tff(12330,plain,
% 12.48/8.81 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node31(J0, X, Y)) | (~m_state_v_a1ext(J0, X, V)) | m_state_v_a1ext(J0, Y, V))) | (~m_state_v_a1ext(c_s, s8, c_retracted)) | m_state_v_a1ext(c_s, s9, c_retracted) | (~node31(c_s, s8, s9))),
% 12.48/8.81 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 12.48/8.81 tff(12331,plain,
% 12.48/8.81 (m_state_v_a1ext(c_s, s9, c_retracted)),
% 12.48/8.81 inference(unit_resolution,[status(thm)],[12330, 3660, 11448, 12324])).
% 12.48/8.81 tff(12332,assumption,(node159(c_s, s9, s9)), introduced(assumption)).
% 12.48/8.81 tff(12333,plain,
% 12.48/8.81 (^[Y: $i, X: $i, J0: $i] : refl(((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)))),
% 12.48/8.82 inference(bind,[status(th)],[])).
% 12.48/8.82 tff(12334,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(quant_intro,[status(thm)],[12333])).
% 12.48/8.82 tff(12335,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle)) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(rewrite,[status(thm)],[])).
% 12.48/8.82 tff(12336,plain,
% 12.48/8.82 (^[Y: $i, X: $i, J0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node150(J0, X) | node151(J0, X)) | node152(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) <=> (node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))))), rewrite(((node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_RRM(J0, X, c_counterclock))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1Mag(J0, X, c_on))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), (((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_angle(J0, X, c_arm2topress))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X))), ((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | m_state_v_RRM(J0, Y, c_idle)))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X)) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle))), (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> (((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))))), rewrite((((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))), ((((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))))),
% 12.48/8.82 inference(bind,[status(th)],[])).
% 12.48/8.82 tff(12337,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y))) <=> ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(quant_intro,[status(thm)],[12336])).
% 12.48/8.82 tff(12338,axiom,(![Y: $i, X: $i, J0: $i] : (((((((((((((node150(J0, X) | node151(J0, X)) | node152(J0, X)) | node153(J0, X)) | (~m_state_v_a1ext(J0, X, c_retracted))) | (~m_state_v_a2ext(J0, X, c_retracted))) | (~m_state_v_A1M(J0, X, c_idle))) | (~m_state_v_A2M(J0, X, c_idle))) | (~m_state_v_RRM(J0, X, c_counterclock))) | (~m_state_v_A1Mag(J0, X, c_on))) | (~m_state_v_A2Mag(J0, X, c_off))) | (~m_state_v_angle(J0, X, c_arm2topress))) | m_state_v_RRM(J0, Y, c_idle)) | (~node159(J0, X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_Robot_181')).
% 12.48/8.82 tff(12339,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 12.48/8.82 tff(12340,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(modus_ponens,[status(thm)],[12339, 12335])).
% 12.48/8.82 tff(12341,plain,(
% 12.48/8.82 ![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(skolemize,[status(sab)],[12340])).
% 12.48/8.82 tff(12342,plain,
% 12.48/8.82 (![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))),
% 12.48/8.82 inference(modus_ponens,[status(thm)],[12341, 12334])).
% 12.48/8.82 tff(12343,plain,
% 12.48/8.82 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on)))),
% 12.48/8.82 inference(rewrite,[status(thm)],[])).
% 12.48/8.82 tff(12344,plain,
% 12.48/8.82 (((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | m_state_v_RRM(c_s, s9, c_idle)) <=> (m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on)))),
% 12.48/8.82 inference(rewrite,[status(thm)],[])).
% 12.48/8.82 tff(12345,plain,
% 12.48/8.82 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | m_state_v_RRM(c_s, s9, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | (m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on))))),
% 12.48/8.82 inference(monotonicity,[status(thm)],[12344])).
% 12.48/8.82 tff(12346,plain,
% 12.48/8.82 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | m_state_v_RRM(c_s, s9, c_idle))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on)))),
% 12.48/8.82 inference(transitivity,[status(thm)],[12345, 12343])).
% 12.48/8.82 tff(12347,plain,
% 12.48/8.82 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | ((~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_A1Mag(c_s, s9, c_on)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | m_state_v_RRM(c_s, s9, c_idle))),
% 12.48/8.82 inference(quant_inst,[status(thm)],[])).
% 12.48/8.82 tff(12348,plain,
% 12.48/8.82 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_a1ext(J0, X, c_retracted)) | (~m_state_v_a2ext(J0, X, c_retracted)) | (~m_state_v_angle(J0, X, c_arm2topress)) | (~m_state_v_RRM(J0, X, c_counterclock)) | (~m_state_v_A2Mag(J0, X, c_off)) | (~m_state_v_A2M(J0, X, c_idle)) | (~m_state_v_A1M(J0, X, c_idle)) | (~m_state_v_A1Mag(J0, X, c_on)) | node150(J0, X) | node151(J0, X) | node152(J0, X) | node153(J0, X) | (~node159(J0, X, Y)) | m_state_v_RRM(J0, Y, c_idle))) | m_state_v_RRM(c_s, s9, c_idle) | (~m_state_v_angle(c_s, s9, c_arm2topress)) | node150(c_s, s9) | node151(c_s, s9) | node152(c_s, s9) | node153(c_s, s9) | (~node159(c_s, s9, s9)) | (~m_state_v_a1ext(c_s, s9, c_retracted)) | (~m_state_v_a2ext(c_s, s9, c_retracted)) | (~m_state_v_A2Mag(c_s, s9, c_off)) | (~m_state_v_A2M(c_s, s9, c_idle)) | (~m_state_v_A1M(c_s, s9, c_idle)) | (~m_state_v_RRM(c_s, s9, c_counterclock)) | (~m_state_v_A1Mag(c_s, s9, c_on))),
% 12.48/8.83 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 12.48/8.83 tff(12349,plain,
% 12.48/8.83 ($false),
% 12.48/8.83 inference(unit_resolution,[status(thm)],[12348, 12342, 12332, 12331, 12307, 12302, 12230, 12179, 12124, 12041, 10857, 11972, 11269, 11251, 11233, 10872])).
% 12.48/8.83 tff(12350,plain,(~node159(c_s, s9, s9)), inference(lemma,lemma(discharge,[]))).
% 12.48/8.83 tff(12351,plain,
% 12.48/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9))),
% 12.48/8.83 inference(rewrite,[status(thm)],[])).
% 12.48/8.83 tff(12352,plain,
% 12.48/8.83 (((~trans(s9, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s9, s9)) <=> ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9))),
% 12.48/8.83 inference(rewrite,[status(thm)],[])).
% 12.48/8.83 tff(12353,plain,
% 12.48/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9)))),
% 12.48/8.83 inference(monotonicity,[status(thm)],[12352])).
% 12.48/8.83 tff(12354,plain,
% 12.48/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s9, s9))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9))),
% 12.48/8.83 inference(transitivity,[status(thm)],[12353, 12351])).
% 12.48/8.83 tff(12355,plain,
% 12.48/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | ((~trans(s9, s9)) | (~m_Robot_v_s(c_RB, c_s)) | node159(c_s, s9, s9))),
% 12.48/8.83 inference(quant_inst,[status(thm)],[])).
% 12.48/8.83 tff(12356,plain,
% 12.48/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Robot_v_s(I0, J0)) | node159(J0, X, Y))) | (~m_Robot_v_s(c_RB, c_s)) | (~trans(s9, s9)) | node159(c_s, s9, s9)),
% 12.48/8.83 inference(modus_ponens,[status(thm)],[12355, 12354])).
% 12.48/8.83 tff(12357,plain,
% 12.48/8.83 ((~trans(s9, s9)) | node159(c_s, s9, s9)),
% 12.48/8.83 inference(unit_resolution,[status(thm)],[12356, 2729, 3365])).
% 12.48/8.83 tff(12358,plain,
% 12.48/8.83 (~trans(s9, s9)),
% 12.48/8.83 inference(unit_resolution,[status(thm)],[12357, 12350])).
% 12.48/8.83 tff(12359,assumption,(node22(c_s, s9, s4)), introduced(assumption)).
% 12.48/8.83 tff(12360,plain,
% 12.48/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4)))),
% 12.48/8.83 inference(rewrite,[status(thm)],[])).
% 12.48/8.83 tff(12361,plain,
% 12.48/8.83 (((~m_state_v_topPos(c_s, s4)) | (~node22(c_s, s9, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4)))),
% 12.48/8.83 inference(rewrite,[status(thm)],[])).
% 12.48/8.83 tff(12362,plain,
% 12.48/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s4)) | (~node22(c_s, s9, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4))))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12361])).
% 12.57/8.83 tff(12363,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s4)) | (~node22(c_s, s9, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4)))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12362, 12360])).
% 12.57/8.83 tff(12364,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s4)) | (~node22(c_s, s9, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12365,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s4)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s4))),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 12.57/8.83 tff(12366,plain,
% 12.57/8.83 ($false),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12365, 10447, 6726, 10433, 10437, 12359])).
% 12.57/8.83 tff(12367,plain,(~node22(c_s, s9, s4)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.83 tff(12368,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12369,plain,
% 12.57/8.83 (((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s4)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12370,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4)))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12369])).
% 12.57/8.83 tff(12371,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s4))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12370, 12368])).
% 12.57/8.83 tff(12372,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s4)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s4))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12373,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s4)) | node22(c_s, s9, s4)),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 12.57/8.83 tff(12374,plain,
% 12.57/8.83 ((~trans(s9, s4)) | node22(c_s, s9, s4)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12373, 62, 5593])).
% 12.57/8.83 tff(12375,plain,
% 12.57/8.83 (~trans(s9, s4)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12374, 12367])).
% 12.57/8.83 tff(12376,assumption,(node22(c_s, s9, s7)), introduced(assumption)).
% 12.57/8.83 tff(12377,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12378,plain,
% 12.57/8.83 (((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> (m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12379,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down))))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12378])).
% 12.57/8.83 tff(12380,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12379, 12377])).
% 12.57/8.83 tff(12381,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12382,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s7)) | (~node22(c_s, s9, s7)) | (~m_state_v_TEM(c_s, s9, c_down))),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 12.57/8.83 tff(12383,plain,
% 12.57/8.83 ($false),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12382, 10447, 10433, 10437, 6759, 12376])).
% 12.57/8.83 tff(12384,plain,(~node22(c_s, s9, s7)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.83 tff(12385,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12386,plain,
% 12.57/8.83 (((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12387,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7)))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12386])).
% 12.57/8.83 tff(12388,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12387, 12385])).
% 12.57/8.83 tff(12389,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s7)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s7))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12390,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s7)) | node22(c_s, s9, s7)),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 12.57/8.83 tff(12391,plain,
% 12.57/8.83 ((~trans(s9, s7)) | node22(c_s, s9, s7)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12390, 62, 5593])).
% 12.57/8.83 tff(12392,plain,
% 12.57/8.83 (~trans(s9, s7)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12391, 12384])).
% 12.57/8.83 tff(12393,assumption,(node22(c_s, s9, s8)), introduced(assumption)).
% 12.57/8.83 tff(12394,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12395,plain,
% 12.57/8.83 (((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12396,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12395])).
% 12.57/8.83 tff(12397,plain,
% 12.57/8.83 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8)))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12396, 12394])).
% 12.57/8.83 tff(12398,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s8)) | (~node22(c_s, s9, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12399,plain,
% 12.57/8.83 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s8)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s8))),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 12.57/8.83 tff(12400,plain,
% 12.57/8.83 ($false),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12399, 10447, 8301, 10433, 10437, 12393])).
% 12.57/8.83 tff(12401,plain,(~node22(c_s, s9, s8)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.83 tff(12402,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12403,plain,
% 12.57/8.83 (((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12404,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8)))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12403])).
% 12.57/8.83 tff(12405,plain,
% 12.57/8.83 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12404, 12402])).
% 12.57/8.83 tff(12406,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s8)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s8))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12407,plain,
% 12.57/8.83 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s8)) | node22(c_s, s9, s8)),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 12.57/8.83 tff(12408,plain,
% 12.57/8.83 ((~trans(s9, s8)) | node22(c_s, s9, s8)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12407, 62, 5593])).
% 12.57/8.83 tff(12409,plain,
% 12.57/8.83 (~trans(s9, s8)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12408, 12401])).
% 12.57/8.83 tff(12410,assumption,(node87(c_s, s9, s0)), introduced(assumption)).
% 12.57/8.83 tff(12411,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12412,plain,
% 12.57/8.83 (((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd)) <=> (m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12413,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7))))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12412])).
% 12.57/8.83 tff(12414,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7)))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12413, 12411])).
% 12.57/8.83 tff(12415,plain,
% 12.57/8.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s6, s7)) | (~m_state_v_gvp(c_s, s6, c_sd)) | m_state_v_gvp(c_s, s7, c_sd))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12416,plain,
% 12.57/8.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s7, c_sd) | (~m_state_v_gvp(c_s, s6, c_sd)) | (~node81(c_s, s6, s7))),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12415, 12414])).
% 12.57/8.83 tff(12417,plain,
% 12.57/8.83 (m_state_v_gvp(c_s, s7, c_sd)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12416, 697, 4883, 4622])).
% 12.57/8.83 tff(12418,assumption,(m_state_v_gvp(c_s, s7, c_sd)), introduced(assumption)).
% 12.57/8.83 tff(12419,assumption,(~m_state_v_gvp(c_s, s8, c_sd)), introduced(assumption)).
% 12.57/8.83 tff(12420,assumption,(node81(c_s, s7, s8)), introduced(assumption)).
% 12.57/8.83 tff(12421,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12422,plain,
% 12.57/8.83 (((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd)) <=> (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12423,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8))))),
% 12.57/8.83 inference(monotonicity,[status(thm)],[12422])).
% 12.57/8.83 tff(12424,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)))),
% 12.57/8.83 inference(transitivity,[status(thm)],[12423, 12421])).
% 12.57/8.83 tff(12425,plain,
% 12.57/8.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s7, s8)) | (~m_state_v_gvp(c_s, s7, c_sd)) | m_state_v_gvp(c_s, s8, c_sd))),
% 12.57/8.83 inference(quant_inst,[status(thm)],[])).
% 12.57/8.83 tff(12426,plain,
% 12.57/8.83 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | m_state_v_gvp(c_s, s8, c_sd) | (~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8))),
% 12.57/8.83 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 12.57/8.83 tff(12427,plain,
% 12.57/8.83 ($false),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12426, 697, 12420, 12419, 12418])).
% 12.57/8.83 tff(12428,plain,((~m_state_v_gvp(c_s, s7, c_sd)) | (~node81(c_s, s7, s8)) | m_state_v_gvp(c_s, s8, c_sd)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.83 tff(12429,plain,
% 12.57/8.83 (m_state_v_gvp(c_s, s8, c_sd)),
% 12.57/8.83 inference(unit_resolution,[status(thm)],[12428, 12417, 4929])).
% 12.57/8.83 tff(12430,plain,
% 12.57/8.83 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9)))),
% 12.57/8.83 inference(rewrite,[status(thm)],[])).
% 12.57/8.83 tff(12431,plain,
% 12.57/8.83 (((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd)) <=> ((~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12432,plain,
% 12.57/8.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9))))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12431])).
% 12.57/8.84 tff(12433,plain,
% 12.57/8.84 (((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))) <=> ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9)))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12432, 12430])).
% 12.57/8.84 tff(12434,plain,
% 12.57/8.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | ((~node81(c_s, s8, s9)) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12435,plain,
% 12.57/8.84 ((~![V: $i, Y: $i, X: $i, J0: $i] : ((~node81(J0, X, Y)) | (~m_state_v_gvp(J0, X, V)) | m_state_v_gvp(J0, Y, V))) | (~m_state_v_gvp(c_s, s8, c_sd)) | m_state_v_gvp(c_s, s9, c_sd) | (~node81(c_s, s8, s9))),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12434, 12433])).
% 12.57/8.84 tff(12436,plain,
% 12.57/8.84 (m_state_v_gvp(c_s, s9, c_sd)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12435, 697, 12429, 4975])).
% 12.57/8.84 tff(12437,plain,
% 12.57/8.84 (^[I0: $i] : refl(m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb) <=> m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb))),
% 12.57/8.84 inference(bind,[status(th)],[])).
% 12.57/8.84 tff(12438,plain,
% 12.57/8.84 (![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb) <=> ![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(quant_intro,[status(thm)],[12437])).
% 12.57/8.84 tff(12439,plain,
% 12.57/8.84 (![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb) <=> ![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12440,axiom,(![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_state_110')).
% 12.57/8.84 tff(12441,plain,
% 12.57/8.84 (![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 12.57/8.84 tff(12442,plain,(
% 12.57/8.84 ![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(skolemize,[status(sab)],[12441])).
% 12.57/8.84 tff(12443,plain,
% 12.57/8.84 (![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12442, 12438])).
% 12.57/8.84 tff(12444,plain,
% 12.57/8.84 ((~![I0: $i] : m_state_v_gripper_status(I0, s0, c_gripperstoppedat_ovb)) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12445,plain,
% 12.57/8.84 (m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12444, 12443])).
% 12.57/8.84 tff(12446,plain,
% 12.57/8.84 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12447,plain,
% 12.57/8.84 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd)))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12448,plain,
% 12.57/8.84 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd))),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12447, 12446])).
% 12.57/8.84 tff(12449,plain,
% 12.57/8.84 (~m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12448, 3834, 12445])).
% 12.57/8.84 tff(12450,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12451,plain,
% 12.57/8.84 (((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s0)) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12452,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s0)) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0))))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12451])).
% 12.57/8.84 tff(12453,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s0)) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0)))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12452, 12450])).
% 12.57/8.84 tff(12454,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s0)) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12455,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s0, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s0))),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 12.57/8.84 tff(12456,plain,
% 12.57/8.84 ($false),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12455, 3783, 12449, 12436, 5881, 4997, 4986, 12410])).
% 12.57/8.84 tff(12457,plain,(~node87(c_s, s9, s0)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.84 tff(12458,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12459,plain,
% 12.57/8.84 (((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s0)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12460,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0)))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12459])).
% 12.57/8.84 tff(12461,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s0))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12460, 12458])).
% 12.57/8.84 tff(12462,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s0)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s0))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12463,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s0)) | node87(c_s, s9, s0)),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 12.57/8.84 tff(12464,plain,
% 12.57/8.84 ((~trans(s9, s0)) | node87(c_s, s9, s0)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12463, 62, 714])).
% 12.57/8.84 tff(12465,plain,
% 12.57/8.84 (~trans(s9, s0)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12464, 12457])).
% 12.57/8.84 tff(12466,assumption,(node22(c_s, s9, s6)), introduced(assumption)).
% 12.57/8.84 tff(12467,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12468,plain,
% 12.57/8.84 (((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s9, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12469,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s9, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6))))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12468])).
% 12.57/8.84 tff(12470,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s9, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6)))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12469, 12467])).
% 12.57/8.84 tff(12471,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s6)) | (~node22(c_s, s9, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12472,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~m_state_v_topPos(c_s, s6)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)) | (~node22(c_s, s9, s6))),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12471, 12470])).
% 12.57/8.84 tff(12473,plain,
% 12.57/8.84 ($false),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12472, 10447, 6752, 10433, 10437, 12466])).
% 12.57/8.84 tff(12474,plain,(~node22(c_s, s9, s6)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.84 tff(12475,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12476,plain,
% 12.57/8.84 (((~trans(s9, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s6)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12477,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6)))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12476])).
% 12.57/8.84 tff(12478,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s6))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12477, 12475])).
% 12.57/8.84 tff(12479,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s6)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s6))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12480,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s6)) | node22(c_s, s9, s6)),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 12.57/8.84 tff(12481,plain,
% 12.57/8.84 ((~trans(s9, s6)) | node22(c_s, s9, s6)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12480, 62, 5593])).
% 12.57/8.84 tff(12482,plain,
% 12.57/8.84 (~trans(s9, s6)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12481, 12474])).
% 12.57/8.84 tff(12483,assumption,(node22(c_s, s9, s5)), introduced(assumption)).
% 12.57/8.84 tff(12484,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12485,plain,
% 12.57/8.84 (((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12486,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down))))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12485])).
% 12.57/8.84 tff(12487,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12486, 12484])).
% 12.57/8.84 tff(12488,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s5)) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12489,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s5)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_topPos(c_s, s5)) | (~m_state_v_TEM(c_s, s9, c_down))),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12488, 12487])).
% 12.57/8.84 tff(12490,plain,
% 12.57/8.84 ($false),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12489, 10447, 10433, 10437, 6733, 12483])).
% 12.57/8.84 tff(12491,plain,(~node22(c_s, s9, s5)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.84 tff(12492,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12493,plain,
% 12.57/8.84 (((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s5)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12494,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5)))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12493])).
% 12.57/8.84 tff(12495,plain,
% 12.57/8.84 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s5))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12494, 12492])).
% 12.57/8.84 tff(12496,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s5)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s5))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.84 tff(12497,plain,
% 12.57/8.84 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s5)) | node22(c_s, s9, s5)),
% 12.57/8.84 inference(modus_ponens,[status(thm)],[12496, 12495])).
% 12.57/8.84 tff(12498,plain,
% 12.57/8.84 ((~trans(s9, s5)) | node22(c_s, s9, s5)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12497, 62, 5593])).
% 12.57/8.84 tff(12499,plain,
% 12.57/8.84 (~trans(s9, s5)),
% 12.57/8.84 inference(unit_resolution,[status(thm)],[12498, 12491])).
% 12.57/8.84 tff(12500,assumption,(node22(c_s, s9, s2)), introduced(assumption)).
% 12.57/8.84 tff(12501,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12502,plain,
% 12.57/8.84 (((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))) <=> ((~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(rewrite,[status(thm)],[])).
% 12.57/8.84 tff(12503,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))))),
% 12.57/8.84 inference(monotonicity,[status(thm)],[12502])).
% 12.57/8.84 tff(12504,plain,
% 12.57/8.84 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(transitivity,[status(thm)],[12503, 12501])).
% 12.57/8.84 tff(12505,plain,
% 12.57/8.84 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | ((~m_state_v_topPos(c_s, s2)) | (~node22(c_s, s9, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down)))),
% 12.57/8.84 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12506,plain,
% 12.57/8.85 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_topPos(J0, Y)) | (~node22(J0, X, Y)) | m_state_v_TEM(J0, X, c_up) | (~m_state_v_TEM(J0, X, c_down)))) | (~node22(c_s, s9, s2)) | (~m_state_v_topPos(c_s, s2)) | m_state_v_TEM(c_s, s9, c_up) | (~m_state_v_TEM(c_s, s9, c_down))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 12.57/8.85 tff(12507,plain,
% 12.57/8.85 ($false),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12506, 10447, 5614, 10433, 10437, 12500])).
% 12.57/8.85 tff(12508,plain,(~node22(c_s, s9, s2)), inference(lemma,lemma(discharge,[]))).
% 12.57/8.85 tff(12509,plain,
% 12.57/8.85 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12510,plain,
% 12.57/8.85 (((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12511,plain,
% 12.57/8.85 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2)))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12510])).
% 12.57/8.85 tff(12512,plain,
% 12.57/8.85 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12511, 12509])).
% 12.57/8.85 tff(12513,plain,
% 12.57/8.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | ((~trans(s9, s2)) | (~m_Sensor_v_s(c_SEN, c_s)) | node22(c_s, s9, s2))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12514,plain,
% 12.57/8.85 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node22(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s2)) | node22(c_s, s9, s2)),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12513, 12512])).
% 12.57/8.85 tff(12515,plain,
% 12.57/8.85 ((~trans(s9, s2)) | node22(c_s, s9, s2)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12514, 62, 5593])).
% 12.57/8.85 tff(12516,plain,
% 12.57/8.85 (~trans(s9, s2)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12515, 12508])).
% 12.57/8.85 tff(12517,assumption,(~loop), introduced(assumption)).
% 12.57/8.85 tff(12518,plain,
% 12.57/8.85 (^[X: $i] : refl((loop | (~last(X)) | (~always212(X))) <=> (loop | (~last(X)) | (~always212(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12519,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always212(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12518])).
% 12.57/8.85 tff(12520,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always212(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12521,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((loop | (~always212(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always212(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12522,plain,
% 12.57/8.85 (![X: $i] : ((loop | (~always212(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12521])).
% 12.57/8.85 tff(12523,axiom,(![X: $i] : ((loop | (~always212(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty89')).
% 12.57/8.85 tff(12524,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12523, 12522])).
% 12.57/8.85 tff(12525,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12524, 12520])).
% 12.57/8.85 tff(12526,plain,(
% 12.57/8.85 ![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12525])).
% 12.57/8.85 tff(12527,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12526, 12519])).
% 12.57/8.85 tff(12528,plain,
% 12.57/8.85 (last(s9) <=> last(s9)),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12529,axiom,(last(s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 12.57/8.85 tff(12530,plain,
% 12.57/8.85 (last(s9)),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 12.57/8.85 tff(12531,plain,
% 12.57/8.85 (((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | (loop | (~last(s9)) | (~always212(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | loop | (~last(s9)) | (~always212(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12532,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | (loop | (~last(s9)) | (~always212(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12533,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~always212(X)))) | loop | (~last(s9)) | (~always212(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 12.57/8.85 tff(12534,plain,
% 12.57/8.85 (loop | (~always212(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12533, 12530, 12527])).
% 12.57/8.85 tff(12535,plain,
% 12.57/8.85 (~always212(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12534, 12517])).
% 12.57/8.85 tff(12536,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ((~trans(X, Y)) | always212(Y) | (~always212(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12537,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12536])).
% 12.57/8.85 tff(12538,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12539,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : rewrite(((always212(Y) | (~trans(X, Y))) | (~always212(X))) <=> ((~trans(X, Y)) | always212(Y) | (~always212(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12540,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((always212(Y) | (~trans(X, Y))) | (~always212(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12539])).
% 12.57/8.85 tff(12541,axiom,(![Y: $i, X: $i] : ((always212(Y) | (~trans(X, Y))) | (~always212(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty88')).
% 12.57/8.85 tff(12542,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12541, 12540])).
% 12.57/8.85 tff(12543,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12542, 12538])).
% 12.57/8.85 tff(12544,plain,(
% 12.57/8.85 ![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12543])).
% 12.57/8.85 tff(12545,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12544, 12537])).
% 12.57/8.85 tff(12546,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (always212(s9) | (~trans(s8, s9)) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12547,plain,
% 12.57/8.85 (((~trans(s8, s9)) | always212(s9) | (~always212(s8))) <=> (always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12548,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (always212(s9) | (~trans(s8, s9)) | (~always212(s8))))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12547])).
% 12.57/8.85 tff(12549,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8)))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12548, 12546])).
% 12.57/8.85 tff(12550,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s8, s9)) | always212(s9) | (~always212(s8)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12551,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | always212(s9) | (~trans(s8, s9)) | (~always212(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 12.57/8.85 tff(12552,plain,
% 12.57/8.85 (always212(s9) | (~always212(s8))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12551, 12545, 4962])).
% 12.57/8.85 tff(12553,plain,
% 12.57/8.85 (~always212(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12552, 12535])).
% 12.57/8.85 tff(12554,plain,
% 12.57/8.85 (^[X: $i] : refl((always212(X) | (~node213(X))) <=> (always212(X) | (~node213(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12555,plain,
% 12.57/8.85 (![X: $i] : (always212(X) | (~node213(X))) <=> ![X: $i] : (always212(X) | (~node213(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12554])).
% 12.57/8.85 tff(12556,plain,
% 12.57/8.85 (![X: $i] : (always212(X) | (~node213(X))) <=> ![X: $i] : (always212(X) | (~node213(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12557,axiom,(![X: $i] : (always212(X) | (~node213(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty96')).
% 12.57/8.85 tff(12558,plain,
% 12.57/8.85 (![X: $i] : (always212(X) | (~node213(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 12.57/8.85 tff(12559,plain,(
% 12.57/8.85 ![X: $i] : (always212(X) | (~node213(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12558])).
% 12.57/8.85 tff(12560,plain,
% 12.57/8.85 (![X: $i] : (always212(X) | (~node213(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12559, 12555])).
% 12.57/8.85 tff(12561,plain,
% 12.57/8.85 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s8) | (~node213(s8)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s8) | (~node213(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12562,plain,
% 12.57/8.85 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s8) | (~node213(s8)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12563,plain,
% 12.57/8.85 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s8) | (~node213(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 12.57/8.85 tff(12564,plain,
% 12.57/8.85 (~node213(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12563, 12560, 12553])).
% 12.57/8.85 tff(12565,plain,
% 12.57/8.85 (^[X: $i] : refl((loop | (~last(X)) | (~always214(X))) <=> (loop | (~last(X)) | (~always214(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12566,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always214(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12565])).
% 12.57/8.85 tff(12567,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always214(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12568,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((loop | (~always214(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always214(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12569,plain,
% 12.57/8.85 (![X: $i] : ((loop | (~always214(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12568])).
% 12.57/8.85 tff(12570,axiom,(![X: $i] : ((loop | (~always214(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty99')).
% 12.57/8.85 tff(12571,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 12.57/8.85 tff(12572,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12571, 12567])).
% 12.57/8.85 tff(12573,plain,(
% 12.57/8.85 ![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12572])).
% 12.57/8.85 tff(12574,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~always214(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12573, 12566])).
% 12.57/8.85 tff(12575,plain,
% 12.57/8.85 (((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | (loop | (~last(s9)) | (~always214(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | loop | (~last(s9)) | (~always214(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12576,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | (loop | (~last(s9)) | (~always214(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12577,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~always214(X)))) | loop | (~last(s9)) | (~always214(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12576, 12575])).
% 12.57/8.85 tff(12578,plain,
% 12.57/8.85 (loop | (~always214(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12577, 12530, 12574])).
% 12.57/8.85 tff(12579,plain,
% 12.57/8.85 (~always214(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12578, 12517])).
% 12.57/8.85 tff(12580,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ((~trans(X, Y)) | (~always214(X)) | always214(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12581,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12580])).
% 12.57/8.85 tff(12582,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12583,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : rewrite(((always214(Y) | (~trans(X, Y))) | (~always214(X))) <=> ((~trans(X, Y)) | (~always214(X)) | always214(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12584,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((always214(Y) | (~trans(X, Y))) | (~always214(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12583])).
% 12.57/8.85 tff(12585,axiom,(![Y: $i, X: $i] : ((always214(Y) | (~trans(X, Y))) | (~always214(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty98')).
% 12.57/8.85 tff(12586,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 12.57/8.85 tff(12587,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12586, 12582])).
% 12.57/8.85 tff(12588,plain,(
% 12.57/8.85 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12587])).
% 12.57/8.85 tff(12589,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12588, 12581])).
% 12.57/8.85 tff(12590,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (always214(s9) | (~trans(s8, s9)) | (~always214(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12591,plain,
% 12.57/8.85 (((~trans(s8, s9)) | (~always214(s8)) | always214(s9)) <=> (always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12592,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (always214(s9) | (~trans(s8, s9)) | (~always214(s8))))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12591])).
% 12.57/8.85 tff(12593,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8)))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12592, 12590])).
% 12.57/8.85 tff(12594,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s8, s9)) | (~always214(s8)) | always214(s9))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12595,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | always214(s9) | (~trans(s8, s9)) | (~always214(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12594, 12593])).
% 12.57/8.85 tff(12596,plain,
% 12.57/8.85 (always214(s9) | (~always214(s8))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12595, 12589, 4962])).
% 12.57/8.85 tff(12597,plain,
% 12.57/8.85 (~always214(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12596, 12579])).
% 12.57/8.85 tff(12598,plain,
% 12.57/8.85 (^[X: $i] : refl((always214(X) | (~node215(X))) <=> (always214(X) | (~node215(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12599,plain,
% 12.57/8.85 (![X: $i] : (always214(X) | (~node215(X))) <=> ![X: $i] : (always214(X) | (~node215(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12598])).
% 12.57/8.85 tff(12600,plain,
% 12.57/8.85 (![X: $i] : (always214(X) | (~node215(X))) <=> ![X: $i] : (always214(X) | (~node215(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12601,axiom,(![X: $i] : (always214(X) | (~node215(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty103')).
% 12.57/8.85 tff(12602,plain,
% 12.57/8.85 (![X: $i] : (always214(X) | (~node215(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 12.57/8.85 tff(12603,plain,(
% 12.57/8.85 ![X: $i] : (always214(X) | (~node215(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12602])).
% 12.57/8.85 tff(12604,plain,
% 12.57/8.85 (![X: $i] : (always214(X) | (~node215(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12603, 12599])).
% 12.57/8.85 tff(12605,plain,
% 12.57/8.85 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s8) | (~node215(s8)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s8) | (~node215(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12606,plain,
% 12.57/8.85 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s8) | (~node215(s8)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12607,plain,
% 12.57/8.85 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s8) | (~node215(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12606, 12605])).
% 12.57/8.85 tff(12608,plain,
% 12.57/8.85 (~node215(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12607, 12604, 12597])).
% 12.57/8.85 tff(12609,plain,
% 12.57/8.85 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s9) | (~node215(s9)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s9) | (~node215(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12610,plain,
% 12.57/8.85 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s9) | (~node215(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12611,plain,
% 12.57/8.85 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s9) | (~node215(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 12.57/8.85 tff(12612,plain,
% 12.57/8.85 (~node215(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12611, 12604, 12579])).
% 12.57/8.85 tff(12613,plain,
% 12.57/8.85 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil217(X))) <=> (loop | (~last(X)) | (~xuntil217(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12614,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12613])).
% 12.57/8.85 tff(12615,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12616,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil217(X))) <=> (loop | (~last(X)) | (~xuntil217(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12617,plain,
% 12.57/8.85 (![X: $i] : ((loop | (~last(X))) | (~xuntil217(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12616])).
% 12.57/8.85 tff(12618,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil217(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty106')).
% 12.57/8.85 tff(12619,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 12.57/8.85 tff(12620,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12619, 12615])).
% 12.57/8.85 tff(12621,plain,(
% 12.57/8.85 ![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12620])).
% 12.57/8.85 tff(12622,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12621, 12614])).
% 12.57/8.85 tff(12623,plain,
% 12.57/8.85 (((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | (loop | (~last(s9)) | (~xuntil217(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | loop | (~last(s9)) | (~xuntil217(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12624,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | (loop | (~last(s9)) | (~xuntil217(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12625,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~xuntil217(X)))) | loop | (~last(s9)) | (~xuntil217(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 12.57/8.85 tff(12626,plain,
% 12.57/8.85 (loop | (~xuntil217(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12625, 12530, 12622])).
% 12.57/8.85 tff(12627,plain,
% 12.57/8.85 (~xuntil217(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12626, 12517])).
% 12.57/8.85 tff(12628,plain,
% 12.57/8.85 (^[X: $i] : refl((node215(X) | (~until216(X)) | xuntil217(X)) <=> (node215(X) | (~until216(X)) | xuntil217(X)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12629,plain,
% 12.57/8.85 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X)) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12628])).
% 12.57/8.85 tff(12630,plain,
% 12.57/8.85 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X)) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12631,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((node215(X) | xuntil217(X)) | (~until216(X))) <=> (node215(X) | (~until216(X)) | xuntil217(X)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12632,plain,
% 12.57/8.85 (![X: $i] : ((node215(X) | xuntil217(X)) | (~until216(X))) <=> ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12631])).
% 12.57/8.85 tff(12633,axiom,(![X: $i] : ((node215(X) | xuntil217(X)) | (~until216(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty104')).
% 12.57/8.85 tff(12634,plain,
% 12.57/8.85 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 12.57/8.85 tff(12635,plain,
% 12.57/8.85 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12634, 12630])).
% 12.57/8.85 tff(12636,plain,(
% 12.57/8.85 ![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12635])).
% 12.57/8.85 tff(12637,plain,
% 12.57/8.85 (![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12636, 12629])).
% 12.57/8.85 tff(12638,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s9) | node215(s9) | (~until216(s9)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12639,plain,
% 12.57/8.85 ((node215(s9) | (~until216(s9)) | xuntil217(s9)) <=> (xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12640,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s9) | node215(s9) | (~until216(s9))))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12639])).
% 12.57/8.85 tff(12641,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9)))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12640, 12638])).
% 12.57/8.85 tff(12642,plain,
% 12.57/8.85 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s9) | (~until216(s9)) | xuntil217(s9))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12643,plain,
% 12.57/8.85 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s9) | node215(s9) | (~until216(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12642, 12641])).
% 12.57/8.85 tff(12644,plain,
% 12.57/8.85 (node215(s9) | (~until216(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12643, 12637, 12627])).
% 12.57/8.85 tff(12645,plain,
% 12.57/8.85 (~until216(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12644, 12612])).
% 12.57/8.85 tff(12646,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12647,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12646])).
% 12.57/8.85 tff(12648,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12649,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : rewrite(((until216(Y) | (~succ(X, Y))) | (~xuntil217(X))) <=> ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12650,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((until216(Y) | (~succ(X, Y))) | (~xuntil217(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12649])).
% 12.57/8.85 tff(12651,axiom,(![Y: $i, X: $i] : ((until216(Y) | (~succ(X, Y))) | (~xuntil217(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty105')).
% 12.57/8.85 tff(12652,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 12.57/8.85 tff(12653,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12652, 12648])).
% 12.57/8.85 tff(12654,plain,(
% 12.57/8.85 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12653])).
% 12.57/8.85 tff(12655,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12654, 12647])).
% 12.57/8.85 tff(12656,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12657,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12658,plain,
% 12.57/8.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s8, s9)) | (~xuntil217(s8)) | until216(s9)),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 12.57/8.85 tff(12659,plain,
% 12.57/8.85 ((~xuntil217(s8)) | until216(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12658, 4958, 12655])).
% 12.57/8.85 tff(12660,plain,
% 12.57/8.85 (~xuntil217(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12659, 12645])).
% 12.57/8.85 tff(12661,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s8) | node215(s8) | (~until216(s8)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12662,plain,
% 12.57/8.85 ((node215(s8) | (~until216(s8)) | xuntil217(s8)) <=> (xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12663,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s8) | node215(s8) | (~until216(s8))))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12662])).
% 12.57/8.85 tff(12664,plain,
% 12.57/8.85 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8)))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12663, 12661])).
% 12.57/8.85 tff(12665,plain,
% 12.57/8.85 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s8) | (~until216(s8)) | xuntil217(s8))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12666,plain,
% 12.57/8.85 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s8) | node215(s8) | (~until216(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 12.57/8.85 tff(12667,plain,
% 12.57/8.85 (~until216(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12666, 12637, 12660, 12608])).
% 12.57/8.85 tff(12668,plain,
% 12.57/8.85 (^[X: $i] : refl((node213(X) | until216(X) | (~node220(X))) <=> (node213(X) | until216(X) | (~node220(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12669,plain,
% 12.57/8.85 (![X: $i] : (node213(X) | until216(X) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12668])).
% 12.57/8.85 tff(12670,plain,
% 12.57/8.85 (![X: $i] : (node213(X) | until216(X) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12671,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((node213(X) | until216(X)) | (~node220(X))) <=> (node213(X) | until216(X) | (~node220(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12672,plain,
% 12.57/8.85 (![X: $i] : ((node213(X) | until216(X)) | (~node220(X))) <=> ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12671])).
% 12.57/8.85 tff(12673,axiom,(![X: $i] : ((node213(X) | until216(X)) | (~node220(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty111')).
% 12.57/8.85 tff(12674,plain,
% 12.57/8.85 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 12.57/8.85 tff(12675,plain,
% 12.57/8.85 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12674, 12670])).
% 12.57/8.85 tff(12676,plain,(
% 12.57/8.85 ![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12675])).
% 12.57/8.85 tff(12677,plain,
% 12.57/8.85 (![X: $i] : (node213(X) | until216(X) | (~node220(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12676, 12669])).
% 12.57/8.85 tff(12678,plain,
% 12.57/8.85 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s8) | until216(s8) | (~node220(s8)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s8) | until216(s8) | (~node220(s8)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12679,plain,
% 12.57/8.85 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s8) | until216(s8) | (~node220(s8)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12680,plain,
% 12.57/8.85 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s8) | until216(s8) | (~node220(s8))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 12.57/8.85 tff(12681,plain,
% 12.57/8.85 (~node220(s8)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12680, 12677, 12667, 12564])).
% 12.57/8.85 tff(12682,plain,
% 12.57/8.85 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s9) | (~node213(s9)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s9) | (~node213(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12683,plain,
% 12.57/8.85 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s9) | (~node213(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12684,plain,
% 12.57/8.85 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s9) | (~node213(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12683, 12682])).
% 12.57/8.85 tff(12685,plain,
% 12.57/8.85 (~node213(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12684, 12560, 12535])).
% 12.57/8.85 tff(12686,plain,
% 12.57/8.85 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s9) | until216(s9) | (~node220(s9)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s9) | until216(s9) | (~node220(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12687,plain,
% 12.57/8.85 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s9) | until216(s9) | (~node220(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12688,plain,
% 12.57/8.85 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s9) | until216(s9) | (~node220(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12687, 12686])).
% 12.57/8.85 tff(12689,plain,
% 12.57/8.85 (~node220(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12688, 12677, 12645, 12685])).
% 12.57/8.85 tff(12690,plain,
% 12.57/8.85 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil222(X))) <=> (loop | (~last(X)) | (~xuntil222(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12691,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12690])).
% 12.57/8.85 tff(12692,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12693,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil222(X))) <=> (loop | (~last(X)) | (~xuntil222(X))))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12694,plain,
% 12.57/8.85 (![X: $i] : ((loop | (~last(X))) | (~xuntil222(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12693])).
% 12.57/8.85 tff(12695,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil222(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty114')).
% 12.57/8.85 tff(12696,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 12.57/8.85 tff(12697,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12696, 12692])).
% 12.57/8.85 tff(12698,plain,(
% 12.57/8.85 ![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12697])).
% 12.57/8.85 tff(12699,plain,
% 12.57/8.85 (![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12698, 12691])).
% 12.57/8.85 tff(12700,plain,
% 12.57/8.85 (((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | (loop | (~last(s9)) | (~xuntil222(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | loop | (~last(s9)) | (~xuntil222(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12701,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | (loop | (~last(s9)) | (~xuntil222(s9)))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12702,plain,
% 12.57/8.85 ((~![X: $i] : (loop | (~last(X)) | (~xuntil222(X)))) | loop | (~last(s9)) | (~xuntil222(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12701, 12700])).
% 12.57/8.85 tff(12703,plain,
% 12.57/8.85 (loop | (~xuntil222(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12702, 12530, 12699])).
% 12.57/8.85 tff(12704,plain,
% 12.57/8.85 (~xuntil222(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12703, 12517])).
% 12.57/8.85 tff(12705,plain,
% 12.57/8.85 (^[X: $i] : refl((node220(X) | (~until221(X)) | xuntil222(X)) <=> (node220(X) | (~until221(X)) | xuntil222(X)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12706,plain,
% 12.57/8.85 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X)) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12705])).
% 12.57/8.85 tff(12707,plain,
% 12.57/8.85 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X)) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12708,plain,
% 12.57/8.85 (^[X: $i] : rewrite(((node220(X) | xuntil222(X)) | (~until221(X))) <=> (node220(X) | (~until221(X)) | xuntil222(X)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12709,plain,
% 12.57/8.85 (![X: $i] : ((node220(X) | xuntil222(X)) | (~until221(X))) <=> ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12708])).
% 12.57/8.85 tff(12710,axiom,(![X: $i] : ((node220(X) | xuntil222(X)) | (~until221(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty112')).
% 12.57/8.85 tff(12711,plain,
% 12.57/8.85 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 12.57/8.85 tff(12712,plain,
% 12.57/8.85 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12711, 12707])).
% 12.57/8.85 tff(12713,plain,(
% 12.57/8.85 ![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12712])).
% 12.57/8.85 tff(12714,plain,
% 12.57/8.85 (![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12713, 12706])).
% 12.57/8.85 tff(12715,plain,
% 12.57/8.85 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s9) | node220(s9) | (~until221(s9)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12716,plain,
% 12.57/8.85 ((node220(s9) | (~until221(s9)) | xuntil222(s9)) <=> (xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12717,plain,
% 12.57/8.85 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s9) | node220(s9) | (~until221(s9))))),
% 12.57/8.85 inference(monotonicity,[status(thm)],[12716])).
% 12.57/8.85 tff(12718,plain,
% 12.57/8.85 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9)))),
% 12.57/8.85 inference(transitivity,[status(thm)],[12717, 12715])).
% 12.57/8.85 tff(12719,plain,
% 12.57/8.85 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s9) | (~until221(s9)) | xuntil222(s9))),
% 12.57/8.85 inference(quant_inst,[status(thm)],[])).
% 12.57/8.85 tff(12720,plain,
% 12.57/8.85 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s9) | node220(s9) | (~until221(s9))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 12.57/8.85 tff(12721,plain,
% 12.57/8.85 (node220(s9) | (~until221(s9))),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12720, 12714, 12704])).
% 12.57/8.85 tff(12722,plain,
% 12.57/8.85 (~until221(s9)),
% 12.57/8.85 inference(unit_resolution,[status(thm)],[12721, 12689])).
% 12.57/8.85 tff(12723,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12724,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12723])).
% 12.57/8.85 tff(12725,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(rewrite,[status(thm)],[])).
% 12.57/8.85 tff(12726,plain,
% 12.57/8.85 (^[Y: $i, X: $i] : rewrite(((until221(Y) | (~succ(X, Y))) | (~xuntil222(X))) <=> ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y)))),
% 12.57/8.85 inference(bind,[status(th)],[])).
% 12.57/8.85 tff(12727,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((until221(Y) | (~succ(X, Y))) | (~xuntil222(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(quant_intro,[status(thm)],[12726])).
% 12.57/8.85 tff(12728,axiom,(![Y: $i, X: $i] : ((until221(Y) | (~succ(X, Y))) | (~xuntil222(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty113')).
% 12.57/8.85 tff(12729,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 12.57/8.85 tff(12730,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12729, 12725])).
% 12.57/8.85 tff(12731,plain,(
% 12.57/8.85 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(skolemize,[status(sab)],[12730])).
% 12.57/8.85 tff(12732,plain,
% 12.57/8.85 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))),
% 12.57/8.85 inference(modus_ponens,[status(thm)],[12731, 12724])).
% 12.57/8.85 tff(12733,plain,
% 12.57/8.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12734,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12735,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s8, s9)) | (~xuntil222(s8)) | until221(s9)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 12.57/8.86 tff(12736,plain,
% 12.57/8.86 ((~xuntil222(s8)) | until221(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12735, 4958, 12732])).
% 12.57/8.86 tff(12737,plain,
% 12.57/8.86 (~xuntil222(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12736, 12722])).
% 12.57/8.86 tff(12738,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s8) | node220(s8) | (~until221(s8)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12739,plain,
% 12.57/8.86 ((node220(s8) | (~until221(s8)) | xuntil222(s8)) <=> (xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12740,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s8) | node220(s8) | (~until221(s8))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12739])).
% 12.57/8.86 tff(12741,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12740, 12738])).
% 12.57/8.86 tff(12742,plain,
% 12.57/8.86 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s8) | (~until221(s8)) | xuntil222(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12743,plain,
% 12.57/8.86 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s8) | node220(s8) | (~until221(s8))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 12.57/8.86 tff(12744,plain,
% 12.57/8.86 (~until221(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12743, 12714, 12737, 12681])).
% 12.57/8.86 tff(12745,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12746,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12747,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s7, s8)) | (~xuntil222(s7)) | until221(s8)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 12.57/8.86 tff(12748,plain,
% 12.57/8.86 ((~xuntil222(s7)) | until221(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12747, 4826, 12732])).
% 12.57/8.86 tff(12749,plain,
% 12.57/8.86 (~xuntil222(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12748, 12744])).
% 12.57/8.86 tff(12750,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12751,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12752,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s7, s8)) | (~xuntil217(s7)) | until216(s8)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12751, 12750])).
% 12.57/8.86 tff(12753,plain,
% 12.57/8.86 ((~xuntil217(s7)) | until216(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12752, 4826, 12655])).
% 12.57/8.86 tff(12754,plain,
% 12.57/8.86 (~xuntil217(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12753, 12667])).
% 12.57/8.86 tff(12755,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s7, s8)) | (~always214(s7)) | always214(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s7, s8)) | (~always214(s7)) | always214(s8))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12756,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s7, s8)) | (~always214(s7)) | always214(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12757,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s7, s8)) | (~always214(s7)) | always214(s8)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 12.57/8.86 tff(12758,plain,
% 12.57/8.86 ((~always214(s7)) | always214(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12757, 12589, 4830])).
% 12.57/8.86 tff(12759,plain,
% 12.57/8.86 (~always214(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12758, 12597])).
% 12.57/8.86 tff(12760,plain,
% 12.57/8.86 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s7) | (~node215(s7)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s7) | (~node215(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12761,plain,
% 12.57/8.86 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s7) | (~node215(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12762,plain,
% 12.57/8.86 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s7) | (~node215(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 12.57/8.86 tff(12763,plain,
% 12.57/8.86 (~node215(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12762, 12604, 12759])).
% 12.57/8.86 tff(12764,plain,
% 12.57/8.86 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s7) | node215(s7) | (~until216(s7)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12765,plain,
% 12.57/8.86 ((node215(s7) | (~until216(s7)) | xuntil217(s7)) <=> (xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12766,plain,
% 12.57/8.86 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s7) | node215(s7) | (~until216(s7))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12765])).
% 12.57/8.86 tff(12767,plain,
% 12.57/8.86 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12766, 12764])).
% 12.57/8.86 tff(12768,plain,
% 12.57/8.86 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s7) | (~until216(s7)) | xuntil217(s7))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12769,plain,
% 12.57/8.86 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s7) | node215(s7) | (~until216(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12768, 12767])).
% 12.57/8.86 tff(12770,plain,
% 12.57/8.86 (xuntil217(s7) | (~until216(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12769, 12637, 12763])).
% 12.57/8.86 tff(12771,plain,
% 12.57/8.86 (~until216(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12770, 12754])).
% 12.57/8.86 tff(12772,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s7, s8)) | always212(s8) | (~always212(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s7, s8)) | always212(s8) | (~always212(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12773,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s7, s8)) | always212(s8) | (~always212(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12774,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s7, s8)) | always212(s8) | (~always212(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12773, 12772])).
% 12.57/8.86 tff(12775,plain,
% 12.57/8.86 (always212(s8) | (~always212(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12774, 12545, 4830])).
% 12.57/8.86 tff(12776,plain,
% 12.57/8.86 (~always212(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12775, 12553])).
% 12.57/8.86 tff(12777,plain,
% 12.57/8.86 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s7) | (~node213(s7)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s7) | (~node213(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12778,plain,
% 12.57/8.86 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s7) | (~node213(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12779,plain,
% 12.57/8.86 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s7) | (~node213(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12778, 12777])).
% 12.57/8.86 tff(12780,plain,
% 12.57/8.86 (~node213(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12779, 12560, 12776])).
% 12.57/8.86 tff(12781,plain,
% 12.57/8.86 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s7) | until216(s7) | (~node220(s7)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s7) | until216(s7) | (~node220(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12782,plain,
% 12.57/8.86 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s7) | until216(s7) | (~node220(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12783,plain,
% 12.57/8.86 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s7) | until216(s7) | (~node220(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 12.57/8.86 tff(12784,plain,
% 12.57/8.86 (until216(s7) | (~node220(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12783, 12677, 12780])).
% 12.57/8.86 tff(12785,plain,
% 12.57/8.86 (~node220(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12784, 12771])).
% 12.57/8.86 tff(12786,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s7) | node220(s7) | (~until221(s7)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12787,plain,
% 12.57/8.86 ((node220(s7) | (~until221(s7)) | xuntil222(s7)) <=> (xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12788,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s7) | node220(s7) | (~until221(s7))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12787])).
% 12.57/8.86 tff(12789,plain,
% 12.57/8.86 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12788, 12786])).
% 12.57/8.86 tff(12790,plain,
% 12.57/8.86 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s7) | (~until221(s7)) | xuntil222(s7))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12791,plain,
% 12.57/8.86 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s7) | node220(s7) | (~until221(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12790, 12789])).
% 12.57/8.86 tff(12792,plain,
% 12.57/8.86 (xuntil222(s7) | (~until221(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12791, 12714, 12785])).
% 12.57/8.86 tff(12793,plain,
% 12.57/8.86 (~until221(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12792, 12749])).
% 12.57/8.86 tff(12794,plain,
% 12.57/8.86 (^[X: $i] : refl((loop | (~last(X)) | (~always210(X))) <=> (loop | (~last(X)) | (~always210(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12795,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~always210(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12794])).
% 12.57/8.86 tff(12796,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~always210(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12797,plain,
% 12.57/8.86 (^[X: $i] : rewrite(((loop | (~always210(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always210(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12798,plain,
% 12.57/8.86 (![X: $i] : ((loop | (~always210(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12797])).
% 12.57/8.86 tff(12799,axiom,(![X: $i] : ((loop | (~always210(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty83')).
% 12.57/8.86 tff(12800,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12799, 12798])).
% 12.57/8.86 tff(12801,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12800, 12796])).
% 12.57/8.86 tff(12802,plain,(
% 12.57/8.86 ![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12801])).
% 12.57/8.86 tff(12803,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12802, 12795])).
% 12.57/8.86 tff(12804,plain,
% 12.57/8.86 (((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | (loop | (~last(s9)) | (~always210(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | loop | (~last(s9)) | (~always210(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12805,plain,
% 12.57/8.86 ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | (loop | (~last(s9)) | (~always210(s9)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12806,plain,
% 12.57/8.86 ((~![X: $i] : (loop | (~last(X)) | (~always210(X)))) | loop | (~last(s9)) | (~always210(s9))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 12.57/8.86 tff(12807,plain,
% 12.57/8.86 (loop | (~always210(s9))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12806, 12530, 12803])).
% 12.57/8.86 tff(12808,plain,
% 12.57/8.86 (~always210(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12807, 12517])).
% 12.57/8.86 tff(12809,plain,
% 12.57/8.86 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ((~trans(X, Y)) | always210(Y) | (~always210(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12810,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12809])).
% 12.57/8.86 tff(12811,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12812,plain,
% 12.57/8.86 (^[Y: $i, X: $i] : rewrite(((always210(Y) | (~trans(X, Y))) | (~always210(X))) <=> ((~trans(X, Y)) | always210(Y) | (~always210(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12813,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((always210(Y) | (~trans(X, Y))) | (~always210(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12812])).
% 12.57/8.86 tff(12814,axiom,(![Y: $i, X: $i] : ((always210(Y) | (~trans(X, Y))) | (~always210(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty82')).
% 12.57/8.86 tff(12815,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 12.57/8.86 tff(12816,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12815, 12811])).
% 12.57/8.86 tff(12817,plain,(
% 12.57/8.86 ![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12816])).
% 12.57/8.86 tff(12818,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12817, 12810])).
% 12.57/8.86 tff(12819,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (always210(s9) | (~trans(s8, s9)) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12820,plain,
% 12.57/8.86 (((~trans(s8, s9)) | always210(s9) | (~always210(s8))) <=> (always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12821,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (always210(s9) | (~trans(s8, s9)) | (~always210(s8))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12820])).
% 12.57/8.86 tff(12822,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12821, 12819])).
% 12.57/8.86 tff(12823,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s8, s9)) | always210(s9) | (~always210(s8)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12824,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | always210(s9) | (~trans(s8, s9)) | (~always210(s8))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 12.57/8.86 tff(12825,plain,
% 12.57/8.86 (always210(s9) | (~always210(s8))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12824, 12818, 4962])).
% 12.57/8.86 tff(12826,plain,
% 12.57/8.86 (~always210(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12825, 12808])).
% 12.57/8.86 tff(12827,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s7, s8)) | always210(s8) | (~always210(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s7, s8)) | always210(s8) | (~always210(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12828,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s7, s8)) | always210(s8) | (~always210(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12829,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s7, s8)) | always210(s8) | (~always210(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12828, 12827])).
% 12.57/8.86 tff(12830,plain,
% 12.57/8.86 (always210(s8) | (~always210(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12829, 12818, 4830])).
% 12.57/8.86 tff(12831,plain,
% 12.57/8.86 (~always210(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12830, 12826])).
% 12.57/8.86 tff(12832,plain,
% 12.57/8.86 (^[X: $i] : refl((always210(X) | (~node211(X))) <=> (always210(X) | (~node211(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12833,plain,
% 12.57/8.86 (![X: $i] : (always210(X) | (~node211(X))) <=> ![X: $i] : (always210(X) | (~node211(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12832])).
% 12.57/8.86 tff(12834,plain,
% 12.57/8.86 (![X: $i] : (always210(X) | (~node211(X))) <=> ![X: $i] : (always210(X) | (~node211(X)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12835,axiom,(![X: $i] : (always210(X) | (~node211(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty86')).
% 12.57/8.86 tff(12836,plain,
% 12.57/8.86 (![X: $i] : (always210(X) | (~node211(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 12.57/8.86 tff(12837,plain,(
% 12.57/8.86 ![X: $i] : (always210(X) | (~node211(X)))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12836])).
% 12.57/8.86 tff(12838,plain,
% 12.57/8.86 (![X: $i] : (always210(X) | (~node211(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12837, 12833])).
% 12.57/8.86 tff(12839,plain,
% 12.57/8.86 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s7) | (~node211(s7)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s7) | (~node211(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12840,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s7) | (~node211(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12841,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s7) | (~node211(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12840, 12839])).
% 12.57/8.86 tff(12842,plain,
% 12.57/8.86 (~node211(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12841, 12838, 12831])).
% 12.57/8.86 tff(12843,plain,
% 12.57/8.86 (^[X: $i] : refl((node211(X) | until221(X) | (~node225(X))) <=> (node211(X) | until221(X) | (~node225(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12844,plain,
% 12.57/8.86 (![X: $i] : (node211(X) | until221(X) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12843])).
% 12.57/8.86 tff(12845,plain,
% 12.57/8.86 (![X: $i] : (node211(X) | until221(X) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12846,plain,
% 12.57/8.86 (^[X: $i] : rewrite(((node211(X) | until221(X)) | (~node225(X))) <=> (node211(X) | until221(X) | (~node225(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12847,plain,
% 12.57/8.86 (![X: $i] : ((node211(X) | until221(X)) | (~node225(X))) <=> ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12846])).
% 12.57/8.86 tff(12848,axiom,(![X: $i] : ((node211(X) | until221(X)) | (~node225(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty119')).
% 12.57/8.86 tff(12849,plain,
% 12.57/8.86 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12848, 12847])).
% 12.57/8.86 tff(12850,plain,
% 12.57/8.86 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12849, 12845])).
% 12.57/8.86 tff(12851,plain,(
% 12.57/8.86 ![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12850])).
% 12.57/8.86 tff(12852,plain,
% 12.57/8.86 (![X: $i] : (node211(X) | until221(X) | (~node225(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12851, 12844])).
% 12.57/8.86 tff(12853,plain,
% 12.57/8.86 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s7) | until221(s7) | (~node225(s7)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s7) | until221(s7) | (~node225(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12854,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s7) | until221(s7) | (~node225(s7)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12855,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s7) | until221(s7) | (~node225(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 12.57/8.86 tff(12856,plain,
% 12.57/8.86 (until221(s7) | (~node225(s7))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12855, 12852, 12842])).
% 12.57/8.86 tff(12857,plain,
% 12.57/8.86 (~node225(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12856, 12793])).
% 12.57/8.86 tff(12858,plain,
% 12.57/8.86 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s8) | (~node211(s8)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s8) | (~node211(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12859,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s8) | (~node211(s8)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12860,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s8) | (~node211(s8))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 12.57/8.86 tff(12861,plain,
% 12.57/8.86 (~node211(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12860, 12838, 12826])).
% 12.57/8.86 tff(12862,plain,
% 12.57/8.86 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s8) | until221(s8) | (~node225(s8)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s8) | until221(s8) | (~node225(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12863,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s8) | until221(s8) | (~node225(s8)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12864,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s8) | until221(s8) | (~node225(s8))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 12.57/8.86 tff(12865,plain,
% 12.57/8.86 (until221(s8) | (~node225(s8))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12864, 12852, 12861])).
% 12.57/8.86 tff(12866,plain,
% 12.57/8.86 (~node225(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12865, 12744])).
% 12.57/8.86 tff(12867,plain,
% 12.57/8.86 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s9) | (~node211(s9)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s9) | (~node211(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12868,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s9) | (~node211(s9)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12869,plain,
% 12.57/8.86 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s9) | (~node211(s9))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 12.57/8.86 tff(12870,plain,
% 12.57/8.86 (~node211(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12869, 12838, 12808])).
% 12.57/8.86 tff(12871,plain,
% 12.57/8.86 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s9) | until221(s9) | (~node225(s9)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s9) | until221(s9) | (~node225(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12872,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s9) | until221(s9) | (~node225(s9)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12873,plain,
% 12.57/8.86 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s9) | until221(s9) | (~node225(s9))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 12.57/8.86 tff(12874,plain,
% 12.57/8.86 (until221(s9) | (~node225(s9))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12873, 12852, 12870])).
% 12.57/8.86 tff(12875,plain,
% 12.57/8.86 (~node225(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12874, 12722])).
% 12.57/8.86 tff(12876,plain,
% 12.57/8.86 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil227(X))) <=> (loop | (~last(X)) | (~xuntil227(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12877,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12876])).
% 12.57/8.86 tff(12878,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12879,plain,
% 12.57/8.86 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil227(X))) <=> (loop | (~last(X)) | (~xuntil227(X))))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12880,plain,
% 12.57/8.86 (![X: $i] : ((loop | (~last(X))) | (~xuntil227(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12879])).
% 12.57/8.86 tff(12881,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil227(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty122')).
% 12.57/8.86 tff(12882,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 12.57/8.86 tff(12883,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12882, 12878])).
% 12.57/8.86 tff(12884,plain,(
% 12.57/8.86 ![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12883])).
% 12.57/8.86 tff(12885,plain,
% 12.57/8.86 (![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12884, 12877])).
% 12.57/8.86 tff(12886,plain,
% 12.57/8.86 (((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | (loop | (~last(s9)) | (~xuntil227(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | loop | (~last(s9)) | (~xuntil227(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12887,plain,
% 12.57/8.86 ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | (loop | (~last(s9)) | (~xuntil227(s9)))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12888,plain,
% 12.57/8.86 ((~![X: $i] : (loop | (~last(X)) | (~xuntil227(X)))) | loop | (~last(s9)) | (~xuntil227(s9))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 12.57/8.86 tff(12889,plain,
% 12.57/8.86 (loop | (~xuntil227(s9))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12888, 12530, 12885])).
% 12.57/8.86 tff(12890,plain,
% 12.57/8.86 (~xuntil227(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12889, 12517])).
% 12.57/8.86 tff(12891,plain,
% 12.57/8.86 (^[X: $i] : refl((node225(X) | (~until226(X)) | xuntil227(X)) <=> (node225(X) | (~until226(X)) | xuntil227(X)))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12892,plain,
% 12.57/8.86 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X)) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12891])).
% 12.57/8.86 tff(12893,plain,
% 12.57/8.86 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X)) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12894,plain,
% 12.57/8.86 (^[X: $i] : rewrite(((node225(X) | xuntil227(X)) | (~until226(X))) <=> (node225(X) | (~until226(X)) | xuntil227(X)))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12895,plain,
% 12.57/8.86 (![X: $i] : ((node225(X) | xuntil227(X)) | (~until226(X))) <=> ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12894])).
% 12.57/8.86 tff(12896,axiom,(![X: $i] : ((node225(X) | xuntil227(X)) | (~until226(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty120')).
% 12.57/8.86 tff(12897,plain,
% 12.57/8.86 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 12.57/8.86 tff(12898,plain,
% 12.57/8.86 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12897, 12893])).
% 12.57/8.86 tff(12899,plain,(
% 12.57/8.86 ![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12898])).
% 12.57/8.86 tff(12900,plain,
% 12.57/8.86 (![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12899, 12892])).
% 12.57/8.86 tff(12901,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s9) | node225(s9) | (~until226(s9)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12902,plain,
% 12.57/8.86 ((node225(s9) | (~until226(s9)) | xuntil227(s9)) <=> (xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12903,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s9) | node225(s9) | (~until226(s9))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12902])).
% 12.57/8.86 tff(12904,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12903, 12901])).
% 12.57/8.86 tff(12905,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s9) | (~until226(s9)) | xuntil227(s9))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12906,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s9) | node225(s9) | (~until226(s9))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 12.57/8.86 tff(12907,plain,
% 12.57/8.86 (node225(s9) | (~until226(s9))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12906, 12900, 12890])).
% 12.57/8.86 tff(12908,plain,
% 12.57/8.86 (~until226(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12907, 12875])).
% 12.57/8.86 tff(12909,plain,
% 12.57/8.86 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12910,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12909])).
% 12.57/8.86 tff(12911,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12912,plain,
% 12.57/8.86 (^[Y: $i, X: $i] : rewrite(((until226(Y) | (~succ(X, Y))) | (~xuntil227(X))) <=> ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y)))),
% 12.57/8.86 inference(bind,[status(th)],[])).
% 12.57/8.86 tff(12913,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((until226(Y) | (~succ(X, Y))) | (~xuntil227(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(quant_intro,[status(thm)],[12912])).
% 12.57/8.86 tff(12914,axiom,(![Y: $i, X: $i] : ((until226(Y) | (~succ(X, Y))) | (~xuntil227(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty121')).
% 12.57/8.86 tff(12915,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12914, 12913])).
% 12.57/8.86 tff(12916,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12915, 12911])).
% 12.57/8.86 tff(12917,plain,(
% 12.57/8.86 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(skolemize,[status(sab)],[12916])).
% 12.57/8.86 tff(12918,plain,
% 12.57/8.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12917, 12910])).
% 12.57/8.86 tff(12919,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12920,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12921,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s8, s9)) | (~xuntil227(s8)) | until226(s9)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 12.57/8.86 tff(12922,plain,
% 12.57/8.86 ((~xuntil227(s8)) | until226(s9)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12921, 4958, 12918])).
% 12.57/8.86 tff(12923,plain,
% 12.57/8.86 (~xuntil227(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12922, 12908])).
% 12.57/8.86 tff(12924,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s8) | node225(s8) | (~until226(s8)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12925,plain,
% 12.57/8.86 ((node225(s8) | (~until226(s8)) | xuntil227(s8)) <=> (xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12926,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s8) | node225(s8) | (~until226(s8))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12925])).
% 12.57/8.86 tff(12927,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12926, 12924])).
% 12.57/8.86 tff(12928,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s8) | (~until226(s8)) | xuntil227(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12929,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s8) | node225(s8) | (~until226(s8))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12928, 12927])).
% 12.57/8.86 tff(12930,plain,
% 12.57/8.86 (node225(s8) | (~until226(s8))),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12929, 12900, 12923])).
% 12.57/8.86 tff(12931,plain,
% 12.57/8.86 (~until226(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12930, 12866])).
% 12.57/8.86 tff(12932,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12933,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12934,plain,
% 12.57/8.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s7, s8)) | (~xuntil227(s7)) | until226(s8)),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 12.57/8.86 tff(12935,plain,
% 12.57/8.86 ((~xuntil227(s7)) | until226(s8)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12934, 4826, 12918])).
% 12.57/8.86 tff(12936,plain,
% 12.57/8.86 (~xuntil227(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12935, 12931])).
% 12.57/8.86 tff(12937,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s7) | node225(s7) | (~until226(s7)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12938,plain,
% 12.57/8.86 ((node225(s7) | (~until226(s7)) | xuntil227(s7)) <=> (xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.57/8.86 inference(rewrite,[status(thm)],[])).
% 12.57/8.86 tff(12939,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s7) | node225(s7) | (~until226(s7))))),
% 12.57/8.86 inference(monotonicity,[status(thm)],[12938])).
% 12.57/8.86 tff(12940,plain,
% 12.57/8.86 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7)))),
% 12.57/8.86 inference(transitivity,[status(thm)],[12939, 12937])).
% 12.57/8.86 tff(12941,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s7) | (~until226(s7)) | xuntil227(s7))),
% 12.57/8.86 inference(quant_inst,[status(thm)],[])).
% 12.57/8.86 tff(12942,plain,
% 12.57/8.86 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s7) | node225(s7) | (~until226(s7))),
% 12.57/8.86 inference(modus_ponens,[status(thm)],[12941, 12940])).
% 12.57/8.86 tff(12943,plain,
% 12.57/8.86 (~until226(s7)),
% 12.57/8.86 inference(unit_resolution,[status(thm)],[12942, 12900, 12936, 12857])).
% 12.57/8.86 tff(12944,plain,
% 12.57/8.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12945,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12946,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s6, s7)) | (~xuntil227(s6)) | until226(s7)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 12.57/8.87 tff(12947,plain,
% 12.57/8.87 ((~xuntil227(s6)) | until226(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12946, 2091, 12918])).
% 12.57/8.87 tff(12948,plain,
% 12.57/8.87 (~xuntil227(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12947, 12943])).
% 12.57/8.87 tff(12949,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12950,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12951,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s6, s7)) | (~xuntil222(s6)) | until221(s7)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 12.57/8.87 tff(12952,plain,
% 12.57/8.87 ((~xuntil222(s6)) | until221(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12951, 2091, 12732])).
% 12.57/8.87 tff(12953,plain,
% 12.57/8.87 (~xuntil222(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12952, 12793])).
% 12.57/8.87 tff(12954,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12955,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12956,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s6, s7)) | (~xuntil217(s6)) | until216(s7)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12955, 12954])).
% 12.57/8.87 tff(12957,plain,
% 12.57/8.87 ((~xuntil217(s6)) | until216(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12956, 2091, 12655])).
% 12.57/8.87 tff(12958,plain,
% 12.57/8.87 (~xuntil217(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12957, 12771])).
% 12.57/8.87 tff(12959,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s6, s7)) | (~always214(s6)) | always214(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s6, s7)) | (~always214(s6)) | always214(s7))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12960,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s6, s7)) | (~always214(s6)) | always214(s7))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12961,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s6, s7)) | (~always214(s6)) | always214(s7)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12960, 12959])).
% 12.57/8.87 tff(12962,plain,
% 12.57/8.87 ((~always214(s6)) | always214(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12961, 12589, 2095])).
% 12.57/8.87 tff(12963,plain,
% 12.57/8.87 (~always214(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12962, 12759])).
% 12.57/8.87 tff(12964,plain,
% 12.57/8.87 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s6) | (~node215(s6)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s6) | (~node215(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12965,plain,
% 12.57/8.87 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s6) | (~node215(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12966,plain,
% 12.57/8.87 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s6) | (~node215(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 12.57/8.87 tff(12967,plain,
% 12.57/8.87 (~node215(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12966, 12604, 12963])).
% 12.57/8.87 tff(12968,plain,
% 12.57/8.87 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s6) | node215(s6) | (~until216(s6)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12969,plain,
% 12.57/8.87 ((node215(s6) | (~until216(s6)) | xuntil217(s6)) <=> (xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12970,plain,
% 12.57/8.87 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s6) | node215(s6) | (~until216(s6))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[12969])).
% 12.57/8.87 tff(12971,plain,
% 12.57/8.87 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[12970, 12968])).
% 12.57/8.87 tff(12972,plain,
% 12.57/8.87 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s6) | (~until216(s6)) | xuntil217(s6))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12973,plain,
% 12.57/8.87 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s6) | node215(s6) | (~until216(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12972, 12971])).
% 12.57/8.87 tff(12974,plain,
% 12.57/8.87 (xuntil217(s6) | (~until216(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12973, 12637, 12967])).
% 12.57/8.87 tff(12975,plain,
% 12.57/8.87 (~until216(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12974, 12958])).
% 12.57/8.87 tff(12976,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s6, s7)) | always212(s7) | (~always212(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s6, s7)) | always212(s7) | (~always212(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12977,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s6, s7)) | always212(s7) | (~always212(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12978,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s6, s7)) | always212(s7) | (~always212(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 12.57/8.87 tff(12979,plain,
% 12.57/8.87 (always212(s7) | (~always212(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12978, 12545, 2095])).
% 12.57/8.87 tff(12980,plain,
% 12.57/8.87 (~always212(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12979, 12776])).
% 12.57/8.87 tff(12981,plain,
% 12.57/8.87 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s6) | (~node213(s6)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s6) | (~node213(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12982,plain,
% 12.57/8.87 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s6) | (~node213(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12983,plain,
% 12.57/8.87 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s6) | (~node213(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12982, 12981])).
% 12.57/8.87 tff(12984,plain,
% 12.57/8.87 (~node213(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12983, 12560, 12980])).
% 12.57/8.87 tff(12985,plain,
% 12.57/8.87 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s6) | until216(s6) | (~node220(s6)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s6) | until216(s6) | (~node220(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12986,plain,
% 12.57/8.87 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s6) | until216(s6) | (~node220(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12987,plain,
% 12.57/8.87 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s6) | until216(s6) | (~node220(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12986, 12985])).
% 12.57/8.87 tff(12988,plain,
% 12.57/8.87 (until216(s6) | (~node220(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12987, 12677, 12984])).
% 12.57/8.87 tff(12989,plain,
% 12.57/8.87 (~node220(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12988, 12975])).
% 12.57/8.87 tff(12990,plain,
% 12.57/8.87 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s6) | node220(s6) | (~until221(s6)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12991,plain,
% 12.57/8.87 ((node220(s6) | (~until221(s6)) | xuntil222(s6)) <=> (xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12992,plain,
% 12.57/8.87 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s6) | node220(s6) | (~until221(s6))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[12991])).
% 12.57/8.87 tff(12993,plain,
% 12.57/8.87 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[12992, 12990])).
% 12.57/8.87 tff(12994,plain,
% 12.57/8.87 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s6) | (~until221(s6)) | xuntil222(s6))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(12995,plain,
% 12.57/8.87 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s6) | node220(s6) | (~until221(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12994, 12993])).
% 12.57/8.87 tff(12996,plain,
% 12.57/8.87 (xuntil222(s6) | (~until221(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12995, 12714, 12989])).
% 12.57/8.87 tff(12997,plain,
% 12.57/8.87 (~until221(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[12996, 12953])).
% 12.57/8.87 tff(12998,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s6, s7)) | always210(s7) | (~always210(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s6, s7)) | always210(s7) | (~always210(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(12999,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s6, s7)) | always210(s7) | (~always210(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13000,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s6, s7)) | always210(s7) | (~always210(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[12999, 12998])).
% 12.57/8.87 tff(13001,plain,
% 12.57/8.87 (always210(s7) | (~always210(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13000, 12818, 2095])).
% 12.57/8.87 tff(13002,plain,
% 12.57/8.87 (~always210(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13001, 12831])).
% 12.57/8.87 tff(13003,plain,
% 12.57/8.87 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s6) | (~node211(s6)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s6) | (~node211(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13004,plain,
% 12.57/8.87 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s6) | (~node211(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13005,plain,
% 12.57/8.87 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s6) | (~node211(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 12.57/8.87 tff(13006,plain,
% 12.57/8.87 (~node211(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13005, 12838, 13002])).
% 12.57/8.87 tff(13007,plain,
% 12.57/8.87 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s6) | until221(s6) | (~node225(s6)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s6) | until221(s6) | (~node225(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13008,plain,
% 12.57/8.87 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s6) | until221(s6) | (~node225(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13009,plain,
% 12.57/8.87 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s6) | until221(s6) | (~node225(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 12.57/8.87 tff(13010,plain,
% 12.57/8.87 (until221(s6) | (~node225(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13009, 12852, 13006])).
% 12.57/8.87 tff(13011,plain,
% 12.57/8.87 (~node225(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13010, 12997])).
% 12.57/8.87 tff(13012,plain,
% 12.57/8.87 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s6) | node225(s6) | (~until226(s6)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13013,plain,
% 12.57/8.87 ((node225(s6) | (~until226(s6)) | xuntil227(s6)) <=> (xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13014,plain,
% 12.57/8.87 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s6) | node225(s6) | (~until226(s6))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[13013])).
% 12.57/8.87 tff(13015,plain,
% 12.57/8.87 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[13014, 13012])).
% 12.57/8.87 tff(13016,plain,
% 12.57/8.87 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s6) | (~until226(s6)) | xuntil227(s6))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13017,plain,
% 12.57/8.87 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s6) | node225(s6) | (~until226(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 12.57/8.87 tff(13018,plain,
% 12.57/8.87 (xuntil227(s6) | (~until226(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13017, 12900, 13011])).
% 12.57/8.87 tff(13019,plain,
% 12.57/8.87 (~until226(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13018, 12948])).
% 12.57/8.87 tff(13020,plain,
% 12.57/8.87 (^[X: $i] : refl((loop | (~last(X)) | (~always208(X))) <=> (loop | (~last(X)) | (~always208(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13021,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~always208(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13020])).
% 12.57/8.87 tff(13022,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~always208(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13023,plain,
% 12.57/8.87 (^[X: $i] : rewrite(((loop | (~always208(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always208(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13024,plain,
% 12.57/8.87 (![X: $i] : ((loop | (~always208(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13023])).
% 12.57/8.87 tff(13025,axiom,(![X: $i] : ((loop | (~always208(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty77')).
% 12.57/8.87 tff(13026,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13025, 13024])).
% 12.57/8.87 tff(13027,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13026, 13022])).
% 12.57/8.87 tff(13028,plain,(
% 12.57/8.87 ![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13027])).
% 12.57/8.87 tff(13029,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~always208(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13028, 13021])).
% 12.57/8.87 tff(13030,plain,
% 12.57/8.87 (((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | (loop | (~last(s9)) | (~always208(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | loop | (~last(s9)) | (~always208(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13031,plain,
% 12.57/8.87 ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | (loop | (~last(s9)) | (~always208(s9)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13032,plain,
% 12.57/8.87 ((~![X: $i] : (loop | (~last(X)) | (~always208(X)))) | loop | (~last(s9)) | (~always208(s9))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13031, 13030])).
% 12.57/8.87 tff(13033,plain,
% 12.57/8.87 (loop | (~always208(s9))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13032, 12530, 13029])).
% 12.57/8.87 tff(13034,plain,
% 12.57/8.87 (~always208(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13033, 12517])).
% 12.57/8.87 tff(13035,plain,
% 12.57/8.87 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ((~trans(X, Y)) | (~always208(X)) | always208(Y)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13036,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13035])).
% 12.57/8.87 tff(13037,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13038,plain,
% 12.57/8.87 (^[Y: $i, X: $i] : rewrite(((always208(Y) | (~trans(X, Y))) | (~always208(X))) <=> ((~trans(X, Y)) | (~always208(X)) | always208(Y)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13039,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((always208(Y) | (~trans(X, Y))) | (~always208(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13038])).
% 12.57/8.87 tff(13040,axiom,(![Y: $i, X: $i] : ((always208(Y) | (~trans(X, Y))) | (~always208(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty76')).
% 12.57/8.87 tff(13041,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 12.57/8.87 tff(13042,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13041, 13037])).
% 12.57/8.87 tff(13043,plain,(
% 12.57/8.87 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13042])).
% 12.57/8.87 tff(13044,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13043, 13036])).
% 12.57/8.87 tff(13045,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (always208(s9) | (~trans(s8, s9)) | (~always208(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13046,plain,
% 12.57/8.87 (((~trans(s8, s9)) | (~always208(s8)) | always208(s9)) <=> (always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13047,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (always208(s9) | (~trans(s8, s9)) | (~always208(s8))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[13046])).
% 12.57/8.87 tff(13048,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[13047, 13045])).
% 12.57/8.87 tff(13049,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s8, s9)) | (~always208(s8)) | always208(s9))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13050,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | always208(s9) | (~trans(s8, s9)) | (~always208(s8))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 12.57/8.87 tff(13051,plain,
% 12.57/8.87 (always208(s9) | (~always208(s8))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13050, 13044, 4962])).
% 12.57/8.87 tff(13052,plain,
% 12.57/8.87 (~always208(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13051, 13034])).
% 12.57/8.87 tff(13053,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s7, s8)) | (~always208(s7)) | always208(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s7, s8)) | (~always208(s7)) | always208(s8))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13054,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s7, s8)) | (~always208(s7)) | always208(s8))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13055,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s7, s8)) | (~always208(s7)) | always208(s8)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 12.57/8.87 tff(13056,plain,
% 12.57/8.87 ((~always208(s7)) | always208(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13055, 13044, 4830])).
% 12.57/8.87 tff(13057,plain,
% 12.57/8.87 (~always208(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13056, 13052])).
% 12.57/8.87 tff(13058,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s6, s7)) | (~always208(s6)) | always208(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s6, s7)) | (~always208(s6)) | always208(s7))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13059,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s6, s7)) | (~always208(s6)) | always208(s7))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13060,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s6, s7)) | (~always208(s6)) | always208(s7)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 12.57/8.87 tff(13061,plain,
% 12.57/8.87 ((~always208(s6)) | always208(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13060, 13044, 2095])).
% 12.57/8.87 tff(13062,plain,
% 12.57/8.87 (~always208(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13061, 13057])).
% 12.57/8.87 tff(13063,plain,
% 12.57/8.87 (^[X: $i] : refl((always208(X) | (~node209(X))) <=> (always208(X) | (~node209(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13064,plain,
% 12.57/8.87 (![X: $i] : (always208(X) | (~node209(X))) <=> ![X: $i] : (always208(X) | (~node209(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13063])).
% 12.57/8.87 tff(13065,plain,
% 12.57/8.87 (![X: $i] : (always208(X) | (~node209(X))) <=> ![X: $i] : (always208(X) | (~node209(X)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13066,axiom,(![X: $i] : (always208(X) | (~node209(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty80')).
% 12.57/8.87 tff(13067,plain,
% 12.57/8.87 (![X: $i] : (always208(X) | (~node209(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 12.57/8.87 tff(13068,plain,(
% 12.57/8.87 ![X: $i] : (always208(X) | (~node209(X)))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13067])).
% 12.57/8.87 tff(13069,plain,
% 12.57/8.87 (![X: $i] : (always208(X) | (~node209(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13068, 13064])).
% 12.57/8.87 tff(13070,plain,
% 12.57/8.87 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s6) | (~node209(s6)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s6) | (~node209(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13071,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s6) | (~node209(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13072,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s6) | (~node209(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13071, 13070])).
% 12.57/8.87 tff(13073,plain,
% 12.57/8.87 (~node209(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13072, 13069, 13062])).
% 12.57/8.87 tff(13074,plain,
% 12.57/8.87 (^[X: $i] : refl((node209(X) | until226(X) | (~node230(X))) <=> (node209(X) | until226(X) | (~node230(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13075,plain,
% 12.57/8.87 (![X: $i] : (node209(X) | until226(X) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13074])).
% 12.57/8.87 tff(13076,plain,
% 12.57/8.87 (![X: $i] : (node209(X) | until226(X) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13077,plain,
% 12.57/8.87 (^[X: $i] : rewrite(((node209(X) | until226(X)) | (~node230(X))) <=> (node209(X) | until226(X) | (~node230(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13078,plain,
% 12.57/8.87 (![X: $i] : ((node209(X) | until226(X)) | (~node230(X))) <=> ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13077])).
% 12.57/8.87 tff(13079,axiom,(![X: $i] : ((node209(X) | until226(X)) | (~node230(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty127')).
% 12.57/8.87 tff(13080,plain,
% 12.57/8.87 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13079, 13078])).
% 12.57/8.87 tff(13081,plain,
% 12.57/8.87 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13080, 13076])).
% 12.57/8.87 tff(13082,plain,(
% 12.57/8.87 ![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13081])).
% 12.57/8.87 tff(13083,plain,
% 12.57/8.87 (![X: $i] : (node209(X) | until226(X) | (~node230(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13082, 13075])).
% 12.57/8.87 tff(13084,plain,
% 12.57/8.87 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s6) | until226(s6) | (~node230(s6)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s6) | until226(s6) | (~node230(s6)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13085,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s6) | until226(s6) | (~node230(s6)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13086,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s6) | until226(s6) | (~node230(s6))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 12.57/8.87 tff(13087,plain,
% 12.57/8.87 (until226(s6) | (~node230(s6))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13086, 13083, 13073])).
% 12.57/8.87 tff(13088,plain,
% 12.57/8.87 (~node230(s6)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13087, 13019])).
% 12.57/8.87 tff(13089,plain,
% 12.57/8.87 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s7) | (~node209(s7)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s7) | (~node209(s7)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13090,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s7) | (~node209(s7)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13091,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s7) | (~node209(s7))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 12.57/8.87 tff(13092,plain,
% 12.57/8.87 (~node209(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13091, 13069, 13057])).
% 12.57/8.87 tff(13093,plain,
% 12.57/8.87 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s7) | until226(s7) | (~node230(s7)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s7) | until226(s7) | (~node230(s7)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13094,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s7) | until226(s7) | (~node230(s7)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13095,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s7) | until226(s7) | (~node230(s7))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 12.57/8.87 tff(13096,plain,
% 12.57/8.87 (until226(s7) | (~node230(s7))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13095, 13083, 13092])).
% 12.57/8.87 tff(13097,plain,
% 12.57/8.87 (~node230(s7)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13096, 12943])).
% 12.57/8.87 tff(13098,plain,
% 12.57/8.87 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s8) | (~node209(s8)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s8) | (~node209(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13099,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s8) | (~node209(s8)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13100,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s8) | (~node209(s8))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13099, 13098])).
% 12.57/8.87 tff(13101,plain,
% 12.57/8.87 (~node209(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13100, 13069, 13052])).
% 12.57/8.87 tff(13102,plain,
% 12.57/8.87 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s8) | until226(s8) | (~node230(s8)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s8) | until226(s8) | (~node230(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13103,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s8) | until226(s8) | (~node230(s8)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13104,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s8) | until226(s8) | (~node230(s8))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 12.57/8.87 tff(13105,plain,
% 12.57/8.87 (until226(s8) | (~node230(s8))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13104, 13083, 13101])).
% 12.57/8.87 tff(13106,plain,
% 12.57/8.87 (~node230(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13105, 12931])).
% 12.57/8.87 tff(13107,plain,
% 12.57/8.87 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s9) | (~node209(s9)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s9) | (~node209(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13108,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s9) | (~node209(s9)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13109,plain,
% 12.57/8.87 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s9) | (~node209(s9))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13108, 13107])).
% 12.57/8.87 tff(13110,plain,
% 12.57/8.87 (~node209(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13109, 13069, 13034])).
% 12.57/8.87 tff(13111,plain,
% 12.57/8.87 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s9) | until226(s9) | (~node230(s9)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s9) | until226(s9) | (~node230(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13112,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s9) | until226(s9) | (~node230(s9)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13113,plain,
% 12.57/8.87 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s9) | until226(s9) | (~node230(s9))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13112, 13111])).
% 12.57/8.87 tff(13114,plain,
% 12.57/8.87 (until226(s9) | (~node230(s9))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13113, 13083, 13110])).
% 12.57/8.87 tff(13115,plain,
% 12.57/8.87 (~node230(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13114, 12908])).
% 12.57/8.87 tff(13116,plain,
% 12.57/8.87 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil232(X))) <=> (loop | (~last(X)) | (~xuntil232(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13117,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13116])).
% 12.57/8.87 tff(13118,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13119,plain,
% 12.57/8.87 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil232(X))) <=> (loop | (~last(X)) | (~xuntil232(X))))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13120,plain,
% 12.57/8.87 (![X: $i] : ((loop | (~last(X))) | (~xuntil232(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13119])).
% 12.57/8.87 tff(13121,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil232(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty130')).
% 12.57/8.87 tff(13122,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 12.57/8.87 tff(13123,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13122, 13118])).
% 12.57/8.87 tff(13124,plain,(
% 12.57/8.87 ![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13123])).
% 12.57/8.87 tff(13125,plain,
% 12.57/8.87 (![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13124, 13117])).
% 12.57/8.87 tff(13126,plain,
% 12.57/8.87 (((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | (loop | (~last(s9)) | (~xuntil232(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | loop | (~last(s9)) | (~xuntil232(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13127,plain,
% 12.57/8.87 ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | (loop | (~last(s9)) | (~xuntil232(s9)))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13128,plain,
% 12.57/8.87 ((~![X: $i] : (loop | (~last(X)) | (~xuntil232(X)))) | loop | (~last(s9)) | (~xuntil232(s9))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 12.57/8.87 tff(13129,plain,
% 12.57/8.87 (loop | (~xuntil232(s9))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13128, 12530, 13125])).
% 12.57/8.87 tff(13130,plain,
% 12.57/8.87 (~xuntil232(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13129, 12517])).
% 12.57/8.87 tff(13131,plain,
% 12.57/8.87 (^[X: $i] : refl((node230(X) | (~until231(X)) | xuntil232(X)) <=> (node230(X) | (~until231(X)) | xuntil232(X)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13132,plain,
% 12.57/8.87 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X)) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13131])).
% 12.57/8.87 tff(13133,plain,
% 12.57/8.87 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X)) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13134,plain,
% 12.57/8.87 (^[X: $i] : rewrite(((node230(X) | xuntil232(X)) | (~until231(X))) <=> (node230(X) | (~until231(X)) | xuntil232(X)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13135,plain,
% 12.57/8.87 (![X: $i] : ((node230(X) | xuntil232(X)) | (~until231(X))) <=> ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13134])).
% 12.57/8.87 tff(13136,axiom,(![X: $i] : ((node230(X) | xuntil232(X)) | (~until231(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty128')).
% 12.57/8.87 tff(13137,plain,
% 12.57/8.87 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13136, 13135])).
% 12.57/8.87 tff(13138,plain,
% 12.57/8.87 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13137, 13133])).
% 12.57/8.87 tff(13139,plain,(
% 12.57/8.87 ![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13138])).
% 12.57/8.87 tff(13140,plain,
% 12.57/8.87 (![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13139, 13132])).
% 12.57/8.87 tff(13141,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s9) | node230(s9) | (~until231(s9)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13142,plain,
% 12.57/8.87 ((node230(s9) | (~until231(s9)) | xuntil232(s9)) <=> (xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13143,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s9) | node230(s9) | (~until231(s9))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[13142])).
% 12.57/8.87 tff(13144,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[13143, 13141])).
% 12.57/8.87 tff(13145,plain,
% 12.57/8.87 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s9) | (~until231(s9)) | xuntil232(s9))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13146,plain,
% 12.57/8.87 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s9) | node230(s9) | (~until231(s9))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 12.57/8.87 tff(13147,plain,
% 12.57/8.87 (node230(s9) | (~until231(s9))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13146, 13140, 13130])).
% 12.57/8.87 tff(13148,plain,
% 12.57/8.87 (~until231(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13147, 13115])).
% 12.57/8.87 tff(13149,plain,
% 12.57/8.87 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13150,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13149])).
% 12.57/8.87 tff(13151,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13152,plain,
% 12.57/8.87 (^[Y: $i, X: $i] : rewrite(((until231(Y) | (~succ(X, Y))) | (~xuntil232(X))) <=> ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y)))),
% 12.57/8.87 inference(bind,[status(th)],[])).
% 12.57/8.87 tff(13153,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((until231(Y) | (~succ(X, Y))) | (~xuntil232(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(quant_intro,[status(thm)],[13152])).
% 12.57/8.87 tff(13154,axiom,(![Y: $i, X: $i] : ((until231(Y) | (~succ(X, Y))) | (~xuntil232(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty129')).
% 12.57/8.87 tff(13155,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13154, 13153])).
% 12.57/8.87 tff(13156,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13155, 13151])).
% 12.57/8.87 tff(13157,plain,(
% 12.57/8.87 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(skolemize,[status(sab)],[13156])).
% 12.57/8.87 tff(13158,plain,
% 12.57/8.87 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13157, 13150])).
% 12.57/8.87 tff(13159,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13160,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13161,plain,
% 12.57/8.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s8, s9)) | (~xuntil232(s8)) | until231(s9)),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 12.57/8.87 tff(13162,plain,
% 12.57/8.87 ((~xuntil232(s8)) | until231(s9)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13161, 4958, 13158])).
% 12.57/8.87 tff(13163,plain,
% 12.57/8.87 (~xuntil232(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13162, 13148])).
% 12.57/8.87 tff(13164,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s8) | node230(s8) | (~until231(s8)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13165,plain,
% 12.57/8.87 ((node230(s8) | (~until231(s8)) | xuntil232(s8)) <=> (xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.87 tff(13166,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s8) | node230(s8) | (~until231(s8))))),
% 12.57/8.87 inference(monotonicity,[status(thm)],[13165])).
% 12.57/8.87 tff(13167,plain,
% 12.57/8.87 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8)))),
% 12.57/8.87 inference(transitivity,[status(thm)],[13166, 13164])).
% 12.57/8.87 tff(13168,plain,
% 12.57/8.87 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s8) | (~until231(s8)) | xuntil232(s8))),
% 12.57/8.87 inference(quant_inst,[status(thm)],[])).
% 12.57/8.87 tff(13169,plain,
% 12.57/8.87 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s8) | node230(s8) | (~until231(s8))),
% 12.57/8.87 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 12.57/8.87 tff(13170,plain,
% 12.57/8.87 (node230(s8) | (~until231(s8))),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13169, 13140, 13163])).
% 12.57/8.87 tff(13171,plain,
% 12.57/8.87 (~until231(s8)),
% 12.57/8.87 inference(unit_resolution,[status(thm)],[13170, 13106])).
% 12.57/8.87 tff(13172,plain,
% 12.57/8.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))),
% 12.57/8.87 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13173,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13174,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s7, s8)) | (~xuntil232(s7)) | until231(s8)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 12.57/8.88 tff(13175,plain,
% 12.57/8.88 ((~xuntil232(s7)) | until231(s8)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13174, 4826, 13158])).
% 12.57/8.88 tff(13176,plain,
% 12.57/8.88 (~xuntil232(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13175, 13171])).
% 12.57/8.88 tff(13177,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s7) | node230(s7) | (~until231(s7)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13178,plain,
% 12.57/8.88 ((node230(s7) | (~until231(s7)) | xuntil232(s7)) <=> (xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13179,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s7) | node230(s7) | (~until231(s7))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13178])).
% 12.57/8.88 tff(13180,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13179, 13177])).
% 12.57/8.88 tff(13181,plain,
% 12.57/8.88 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s7) | (~until231(s7)) | xuntil232(s7))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13182,plain,
% 12.57/8.88 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s7) | node230(s7) | (~until231(s7))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 12.57/8.88 tff(13183,plain,
% 12.57/8.88 (node230(s7) | (~until231(s7))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13182, 13140, 13176])).
% 12.57/8.88 tff(13184,plain,
% 12.57/8.88 (~until231(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13183, 13097])).
% 12.57/8.88 tff(13185,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13186,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13187,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s6, s7)) | (~xuntil232(s6)) | until231(s7)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 12.57/8.88 tff(13188,plain,
% 12.57/8.88 ((~xuntil232(s6)) | until231(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13187, 2091, 13158])).
% 12.57/8.88 tff(13189,plain,
% 12.57/8.88 (~xuntil232(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13188, 13184])).
% 12.57/8.88 tff(13190,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s6) | node230(s6) | (~until231(s6)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13191,plain,
% 12.57/8.88 ((node230(s6) | (~until231(s6)) | xuntil232(s6)) <=> (xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13192,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s6) | node230(s6) | (~until231(s6))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13191])).
% 12.57/8.88 tff(13193,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13192, 13190])).
% 12.57/8.88 tff(13194,plain,
% 12.57/8.88 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s6) | (~until231(s6)) | xuntil232(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13195,plain,
% 12.57/8.88 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s6) | node230(s6) | (~until231(s6))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13194, 13193])).
% 12.57/8.88 tff(13196,plain,
% 12.57/8.88 (~until231(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13195, 13140, 13189, 13088])).
% 12.57/8.88 tff(13197,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13198,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13199,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s5, s6)) | (~xuntil232(s5)) | until231(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 12.57/8.88 tff(13200,plain,
% 12.57/8.88 ((~xuntil232(s5)) | until231(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13199, 10, 13158])).
% 12.57/8.88 tff(13201,plain,
% 12.57/8.88 (~xuntil232(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13200, 13196])).
% 12.57/8.88 tff(13202,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13203,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13204,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s5, s6)) | (~xuntil227(s5)) | until226(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 12.57/8.88 tff(13205,plain,
% 12.57/8.88 ((~xuntil227(s5)) | until226(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13204, 10, 12918])).
% 12.57/8.88 tff(13206,plain,
% 12.57/8.88 (~xuntil227(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13205, 13019])).
% 12.57/8.88 tff(13207,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13208,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13209,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s5, s6)) | (~xuntil222(s5)) | until221(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 12.57/8.88 tff(13210,plain,
% 12.57/8.88 ((~xuntil222(s5)) | until221(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13209, 10, 12732])).
% 12.57/8.88 tff(13211,plain,
% 12.57/8.88 (~xuntil222(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13210, 12997])).
% 12.57/8.88 tff(13212,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13213,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13214,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s5, s6)) | (~xuntil217(s5)) | until216(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 12.57/8.88 tff(13215,plain,
% 12.57/8.88 ((~xuntil217(s5)) | until216(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13214, 10, 12655])).
% 12.57/8.88 tff(13216,plain,
% 12.57/8.88 (~xuntil217(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13215, 12975])).
% 12.57/8.88 tff(13217,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s5, s6)) | (~always214(s5)) | always214(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s5, s6)) | (~always214(s5)) | always214(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13218,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s5, s6)) | (~always214(s5)) | always214(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13219,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s5, s6)) | (~always214(s5)) | always214(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13218, 13217])).
% 12.57/8.88 tff(13220,plain,
% 12.57/8.88 ((~always214(s5)) | always214(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13219, 12589, 14])).
% 12.57/8.88 tff(13221,plain,
% 12.57/8.88 (~always214(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13220, 12963])).
% 12.57/8.88 tff(13222,plain,
% 12.57/8.88 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s5) | (~node215(s5)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s5) | (~node215(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13223,plain,
% 12.57/8.88 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s5) | (~node215(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13224,plain,
% 12.57/8.88 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s5) | (~node215(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13223, 13222])).
% 12.57/8.88 tff(13225,plain,
% 12.57/8.88 (~node215(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13224, 12604, 13221])).
% 12.57/8.88 tff(13226,plain,
% 12.57/8.88 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s5) | node215(s5) | (~until216(s5)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13227,plain,
% 12.57/8.88 ((node215(s5) | (~until216(s5)) | xuntil217(s5)) <=> (xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13228,plain,
% 12.57/8.88 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s5) | node215(s5) | (~until216(s5))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13227])).
% 12.57/8.88 tff(13229,plain,
% 12.57/8.88 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13228, 13226])).
% 12.57/8.88 tff(13230,plain,
% 12.57/8.88 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s5) | (~until216(s5)) | xuntil217(s5))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13231,plain,
% 12.57/8.88 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s5) | node215(s5) | (~until216(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 12.57/8.88 tff(13232,plain,
% 12.57/8.88 (xuntil217(s5) | (~until216(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13231, 12637, 13225])).
% 12.57/8.88 tff(13233,plain,
% 12.57/8.88 (~until216(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13232, 13216])).
% 12.57/8.88 tff(13234,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s5, s6)) | always212(s6) | (~always212(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s5, s6)) | always212(s6) | (~always212(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13235,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s5, s6)) | always212(s6) | (~always212(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13236,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s5, s6)) | always212(s6) | (~always212(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 12.57/8.88 tff(13237,plain,
% 12.57/8.88 (always212(s6) | (~always212(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13236, 12545, 14])).
% 12.57/8.88 tff(13238,plain,
% 12.57/8.88 (~always212(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13237, 12980])).
% 12.57/8.88 tff(13239,plain,
% 12.57/8.88 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s5) | (~node213(s5)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s5) | (~node213(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13240,plain,
% 12.57/8.88 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s5) | (~node213(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13241,plain,
% 12.57/8.88 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s5) | (~node213(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 12.57/8.88 tff(13242,plain,
% 12.57/8.88 (~node213(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13241, 12560, 13238])).
% 12.57/8.88 tff(13243,plain,
% 12.57/8.88 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s5) | until216(s5) | (~node220(s5)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s5) | until216(s5) | (~node220(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13244,plain,
% 12.57/8.88 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s5) | until216(s5) | (~node220(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13245,plain,
% 12.57/8.88 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s5) | until216(s5) | (~node220(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 12.57/8.88 tff(13246,plain,
% 12.57/8.88 (until216(s5) | (~node220(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13245, 12677, 13242])).
% 12.57/8.88 tff(13247,plain,
% 12.57/8.88 (~node220(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13246, 13233])).
% 12.57/8.88 tff(13248,plain,
% 12.57/8.88 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s5) | node220(s5) | (~until221(s5)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13249,plain,
% 12.57/8.88 ((node220(s5) | (~until221(s5)) | xuntil222(s5)) <=> (xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13250,plain,
% 12.57/8.88 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s5) | node220(s5) | (~until221(s5))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13249])).
% 12.57/8.88 tff(13251,plain,
% 12.57/8.88 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13250, 13248])).
% 12.57/8.88 tff(13252,plain,
% 12.57/8.88 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s5) | (~until221(s5)) | xuntil222(s5))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13253,plain,
% 12.57/8.88 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s5) | node220(s5) | (~until221(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 12.57/8.88 tff(13254,plain,
% 12.57/8.88 (xuntil222(s5) | (~until221(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13253, 12714, 13247])).
% 12.57/8.88 tff(13255,plain,
% 12.57/8.88 (~until221(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13254, 13211])).
% 12.57/8.88 tff(13256,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s5, s6)) | always210(s6) | (~always210(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s5, s6)) | always210(s6) | (~always210(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13257,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s5, s6)) | always210(s6) | (~always210(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13258,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s5, s6)) | always210(s6) | (~always210(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13257, 13256])).
% 12.57/8.88 tff(13259,plain,
% 12.57/8.88 (always210(s6) | (~always210(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13258, 12818, 14])).
% 12.57/8.88 tff(13260,plain,
% 12.57/8.88 (~always210(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13259, 13002])).
% 12.57/8.88 tff(13261,plain,
% 12.57/8.88 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s5) | (~node211(s5)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s5) | (~node211(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13262,plain,
% 12.57/8.88 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s5) | (~node211(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13263,plain,
% 12.57/8.88 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s5) | (~node211(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13262, 13261])).
% 12.57/8.88 tff(13264,plain,
% 12.57/8.88 (~node211(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13263, 12838, 13260])).
% 12.57/8.88 tff(13265,plain,
% 12.57/8.88 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s5) | until221(s5) | (~node225(s5)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s5) | until221(s5) | (~node225(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13266,plain,
% 12.57/8.88 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s5) | until221(s5) | (~node225(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13267,plain,
% 12.57/8.88 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s5) | until221(s5) | (~node225(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13266, 13265])).
% 12.57/8.88 tff(13268,plain,
% 12.57/8.88 (until221(s5) | (~node225(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13267, 12852, 13264])).
% 12.57/8.88 tff(13269,plain,
% 12.57/8.88 (~node225(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13268, 13255])).
% 12.57/8.88 tff(13270,plain,
% 12.57/8.88 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s5) | node225(s5) | (~until226(s5)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13271,plain,
% 12.57/8.88 ((node225(s5) | (~until226(s5)) | xuntil227(s5)) <=> (xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13272,plain,
% 12.57/8.88 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s5) | node225(s5) | (~until226(s5))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13271])).
% 12.57/8.88 tff(13273,plain,
% 12.57/8.88 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13272, 13270])).
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% 12.57/8.88 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s5) | (~until226(s5)) | xuntil227(s5))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13275,plain,
% 12.57/8.88 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s5) | node225(s5) | (~until226(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 12.57/8.88 tff(13276,plain,
% 12.57/8.88 (xuntil227(s5) | (~until226(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13275, 12900, 13269])).
% 12.57/8.88 tff(13277,plain,
% 12.57/8.88 (~until226(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13276, 13206])).
% 12.57/8.88 tff(13278,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s5, s6)) | (~always208(s5)) | always208(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s5, s6)) | (~always208(s5)) | always208(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13279,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s5, s6)) | (~always208(s5)) | always208(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13280,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s5, s6)) | (~always208(s5)) | always208(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 12.57/8.88 tff(13281,plain,
% 12.57/8.88 ((~always208(s5)) | always208(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13280, 13044, 14])).
% 12.57/8.88 tff(13282,plain,
% 12.57/8.88 (~always208(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13281, 13062])).
% 12.57/8.88 tff(13283,plain,
% 12.57/8.88 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s5) | (~node209(s5)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s5) | (~node209(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13284,plain,
% 12.57/8.88 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s5) | (~node209(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13285,plain,
% 12.57/8.88 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s5) | (~node209(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 12.57/8.88 tff(13286,plain,
% 12.57/8.88 (~node209(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13285, 13069, 13282])).
% 12.57/8.88 tff(13287,plain,
% 12.57/8.88 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s5) | until226(s5) | (~node230(s5)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s5) | until226(s5) | (~node230(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13288,plain,
% 12.57/8.88 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s5) | until226(s5) | (~node230(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13289,plain,
% 12.57/8.88 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s5) | until226(s5) | (~node230(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 12.57/8.88 tff(13290,plain,
% 12.57/8.88 (until226(s5) | (~node230(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13289, 13083, 13286])).
% 12.57/8.88 tff(13291,plain,
% 12.57/8.88 (~node230(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13290, 13277])).
% 12.57/8.88 tff(13292,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s5) | node230(s5) | (~until231(s5)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13293,plain,
% 12.57/8.88 ((node230(s5) | (~until231(s5)) | xuntil232(s5)) <=> (xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13294,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s5) | (~until231(s5)) | xuntil232(s5))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s5) | node230(s5) | (~until231(s5))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13293])).
% 12.57/8.88 tff(13295,plain,
% 12.57/8.88 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s5) | (~until231(s5)) | xuntil232(s5))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13294, 13292])).
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% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13297,plain,
% 12.57/8.88 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s5) | node230(s5) | (~until231(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 12.57/8.88 tff(13298,plain,
% 12.57/8.88 (xuntil232(s5) | (~until231(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13297, 13140, 13291])).
% 12.57/8.88 tff(13299,plain,
% 12.57/8.88 (~until231(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13298, 13201])).
% 12.57/8.88 tff(13300,plain,
% 12.57/8.88 (^[X: $i] : refl((loop | (~last(X)) | (~always206(X))) <=> (loop | (~last(X)) | (~always206(X))))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13301,plain,
% 12.57/8.88 (![X: $i] : (loop | (~last(X)) | (~always206(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13300])).
% 12.57/8.88 tff(13302,plain,
% 12.57/8.88 (![X: $i] : (loop | (~last(X)) | (~always206(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13303,plain,
% 12.57/8.88 (^[X: $i] : rewrite(((loop | (~always206(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always206(X))))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13304,plain,
% 12.57/8.88 (![X: $i] : ((loop | (~always206(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13303])).
% 12.57/8.88 tff(13305,axiom,(![X: $i] : ((loop | (~always206(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty70')).
% 12.57/8.88 tff(13306,plain,
% 12.57/8.88 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 12.57/8.88 tff(13307,plain,
% 12.57/8.88 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13306, 13302])).
% 12.57/8.88 tff(13308,plain,(
% 12.57/8.88 ![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(skolemize,[status(sab)],[13307])).
% 12.57/8.88 tff(13309,plain,
% 12.57/8.88 (![X: $i] : (loop | (~last(X)) | (~always206(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13308, 13301])).
% 12.57/8.88 tff(13310,plain,
% 12.57/8.88 (((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | (loop | (~last(s9)) | (~always206(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | loop | (~last(s9)) | (~always206(s9)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13311,plain,
% 12.57/8.88 ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | (loop | (~last(s9)) | (~always206(s9)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13312,plain,
% 12.57/8.88 ((~![X: $i] : (loop | (~last(X)) | (~always206(X)))) | loop | (~last(s9)) | (~always206(s9))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 12.57/8.88 tff(13313,plain,
% 12.57/8.88 (loop | (~always206(s9))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13312, 12530, 13309])).
% 12.57/8.88 tff(13314,plain,
% 12.57/8.88 (~always206(s9)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13313, 12517])).
% 12.57/8.88 tff(13315,plain,
% 12.57/8.88 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ((~trans(X, Y)) | (~always206(X)) | always206(Y)))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13316,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13315])).
% 12.57/8.88 tff(13317,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13318,plain,
% 12.57/8.88 (^[Y: $i, X: $i] : rewrite(((always206(Y) | (~trans(X, Y))) | (~always206(X))) <=> ((~trans(X, Y)) | (~always206(X)) | always206(Y)))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13319,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((always206(Y) | (~trans(X, Y))) | (~always206(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13318])).
% 12.57/8.88 tff(13320,axiom,(![Y: $i, X: $i] : ((always206(Y) | (~trans(X, Y))) | (~always206(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty69')).
% 12.57/8.88 tff(13321,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 12.57/8.88 tff(13322,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13321, 13317])).
% 12.57/8.88 tff(13323,plain,(
% 12.57/8.88 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(skolemize,[status(sab)],[13322])).
% 12.57/8.88 tff(13324,plain,
% 12.57/8.88 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13323, 13316])).
% 12.57/8.88 tff(13325,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (always206(s9) | (~trans(s8, s9)) | (~always206(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13326,plain,
% 12.57/8.88 (((~trans(s8, s9)) | (~always206(s8)) | always206(s9)) <=> (always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13327,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (always206(s9) | (~trans(s8, s9)) | (~always206(s8))))),
% 12.57/8.88 inference(monotonicity,[status(thm)],[13326])).
% 12.57/8.88 tff(13328,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8)))),
% 12.57/8.88 inference(transitivity,[status(thm)],[13327, 13325])).
% 12.57/8.88 tff(13329,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s8, s9)) | (~always206(s8)) | always206(s9))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13330,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | always206(s9) | (~trans(s8, s9)) | (~always206(s8))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13329, 13328])).
% 12.57/8.88 tff(13331,plain,
% 12.57/8.88 (always206(s9) | (~always206(s8))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13330, 13324, 4962])).
% 12.57/8.88 tff(13332,plain,
% 12.57/8.88 (~always206(s8)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13331, 13314])).
% 12.57/8.88 tff(13333,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s7, s8)) | (~always206(s7)) | always206(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s7, s8)) | (~always206(s7)) | always206(s8))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13334,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s7, s8)) | (~always206(s7)) | always206(s8))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13335,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s7, s8)) | (~always206(s7)) | always206(s8)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 12.57/8.88 tff(13336,plain,
% 12.57/8.88 ((~always206(s7)) | always206(s8)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13335, 13324, 4830])).
% 12.57/8.88 tff(13337,plain,
% 12.57/8.88 (~always206(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13336, 13332])).
% 12.57/8.88 tff(13338,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s6, s7)) | (~always206(s6)) | always206(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s6, s7)) | (~always206(s6)) | always206(s7))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13339,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s6, s7)) | (~always206(s6)) | always206(s7))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13340,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s6, s7)) | (~always206(s6)) | always206(s7)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13339, 13338])).
% 12.57/8.88 tff(13341,plain,
% 12.57/8.88 ((~always206(s6)) | always206(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13340, 13324, 2095])).
% 12.57/8.88 tff(13342,plain,
% 12.57/8.88 (~always206(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13341, 13337])).
% 12.57/8.88 tff(13343,plain,
% 12.57/8.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s5, s6)) | (~always206(s5)) | always206(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s5, s6)) | (~always206(s5)) | always206(s6))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13344,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s5, s6)) | (~always206(s5)) | always206(s6))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13345,plain,
% 12.57/8.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s5, s6)) | (~always206(s5)) | always206(s6)),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 12.57/8.88 tff(13346,plain,
% 12.57/8.88 ((~always206(s5)) | always206(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13345, 13324, 14])).
% 12.57/8.88 tff(13347,plain,
% 12.57/8.88 (~always206(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13346, 13342])).
% 12.57/8.88 tff(13348,plain,
% 12.57/8.88 (^[X: $i] : refl((always206(X) | (~node207(X))) <=> (always206(X) | (~node207(X))))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13349,plain,
% 12.57/8.88 (![X: $i] : (always206(X) | (~node207(X))) <=> ![X: $i] : (always206(X) | (~node207(X)))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13348])).
% 12.57/8.88 tff(13350,plain,
% 12.57/8.88 (![X: $i] : (always206(X) | (~node207(X))) <=> ![X: $i] : (always206(X) | (~node207(X)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13351,axiom,(![X: $i] : (always206(X) | (~node207(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty74')).
% 12.57/8.88 tff(13352,plain,
% 12.57/8.88 (![X: $i] : (always206(X) | (~node207(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13351, 13350])).
% 12.57/8.88 tff(13353,plain,(
% 12.57/8.88 ![X: $i] : (always206(X) | (~node207(X)))),
% 12.57/8.88 inference(skolemize,[status(sab)],[13352])).
% 12.57/8.88 tff(13354,plain,
% 12.57/8.88 (![X: $i] : (always206(X) | (~node207(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13353, 13349])).
% 12.57/8.88 tff(13355,plain,
% 12.57/8.88 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s5) | (~node207(s5)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s5) | (~node207(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13356,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s5) | (~node207(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13357,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s5) | (~node207(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 12.57/8.88 tff(13358,plain,
% 12.57/8.88 (~node207(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13357, 13354, 13347])).
% 12.57/8.88 tff(13359,plain,
% 12.57/8.88 (^[X: $i] : refl((node207(X) | until231(X) | (~node235(X))) <=> (node207(X) | until231(X) | (~node235(X))))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13360,plain,
% 12.57/8.88 (![X: $i] : (node207(X) | until231(X) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13359])).
% 12.57/8.88 tff(13361,plain,
% 12.57/8.88 (![X: $i] : (node207(X) | until231(X) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13362,plain,
% 12.57/8.88 (^[X: $i] : rewrite(((node207(X) | until231(X)) | (~node235(X))) <=> (node207(X) | until231(X) | (~node235(X))))),
% 12.57/8.88 inference(bind,[status(th)],[])).
% 12.57/8.88 tff(13363,plain,
% 12.57/8.88 (![X: $i] : ((node207(X) | until231(X)) | (~node235(X))) <=> ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(quant_intro,[status(thm)],[13362])).
% 12.57/8.88 tff(13364,axiom,(![X: $i] : ((node207(X) | until231(X)) | (~node235(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty135')).
% 12.57/8.88 tff(13365,plain,
% 12.57/8.88 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 12.57/8.88 tff(13366,plain,
% 12.57/8.88 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13365, 13361])).
% 12.57/8.88 tff(13367,plain,(
% 12.57/8.88 ![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(skolemize,[status(sab)],[13366])).
% 12.57/8.88 tff(13368,plain,
% 12.57/8.88 (![X: $i] : (node207(X) | until231(X) | (~node235(X)))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13367, 13360])).
% 12.57/8.88 tff(13369,plain,
% 12.57/8.88 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s5) | until231(s5) | (~node235(s5)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s5) | until231(s5) | (~node235(s5)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13370,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s5) | until231(s5) | (~node235(s5)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13371,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s5) | until231(s5) | (~node235(s5))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 12.57/8.88 tff(13372,plain,
% 12.57/8.88 (until231(s5) | (~node235(s5))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13371, 13368, 13358])).
% 12.57/8.88 tff(13373,plain,
% 12.57/8.88 (~node235(s5)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13372, 13299])).
% 12.57/8.88 tff(13374,plain,
% 12.57/8.88 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s6) | (~node207(s6)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s6) | (~node207(s6)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13375,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s6) | (~node207(s6)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13376,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s6) | (~node207(s6))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 12.57/8.88 tff(13377,plain,
% 12.57/8.88 (~node207(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13376, 13354, 13342])).
% 12.57/8.88 tff(13378,plain,
% 12.57/8.88 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s6) | until231(s6) | (~node235(s6)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s6) | until231(s6) | (~node235(s6)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13379,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s6) | until231(s6) | (~node235(s6)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13380,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s6) | until231(s6) | (~node235(s6))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 12.57/8.88 tff(13381,plain,
% 12.57/8.88 (until231(s6) | (~node235(s6))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13380, 13368, 13377])).
% 12.57/8.88 tff(13382,plain,
% 12.57/8.88 (~node235(s6)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13381, 13196])).
% 12.57/8.88 tff(13383,plain,
% 12.57/8.88 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s7) | (~node207(s7)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s7) | (~node207(s7)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13384,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s7) | (~node207(s7)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13385,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s7) | (~node207(s7))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 12.57/8.88 tff(13386,plain,
% 12.57/8.88 (~node207(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13385, 13354, 13337])).
% 12.57/8.88 tff(13387,plain,
% 12.57/8.88 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s7) | until231(s7) | (~node235(s7)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s7) | until231(s7) | (~node235(s7)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13388,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s7) | until231(s7) | (~node235(s7)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13389,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s7) | until231(s7) | (~node235(s7))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 12.57/8.88 tff(13390,plain,
% 12.57/8.88 (until231(s7) | (~node235(s7))),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13389, 13368, 13386])).
% 12.57/8.88 tff(13391,plain,
% 12.57/8.88 (~node235(s7)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13390, 13184])).
% 12.57/8.88 tff(13392,plain,
% 12.57/8.88 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s8) | (~node207(s8)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s8) | (~node207(s8)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13393,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s8) | (~node207(s8)))),
% 12.57/8.88 inference(quant_inst,[status(thm)],[])).
% 12.57/8.88 tff(13394,plain,
% 12.57/8.88 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s8) | (~node207(s8))),
% 12.57/8.88 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 12.57/8.88 tff(13395,plain,
% 12.57/8.88 (~node207(s8)),
% 12.57/8.88 inference(unit_resolution,[status(thm)],[13394, 13354, 13332])).
% 12.57/8.88 tff(13396,plain,
% 12.57/8.88 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s8) | until231(s8) | (~node235(s8)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s8) | until231(s8) | (~node235(s8)))),
% 12.57/8.88 inference(rewrite,[status(thm)],[])).
% 12.57/8.88 tff(13397,plain,
% 12.57/8.88 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s8) | until231(s8) | (~node235(s8)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13398,plain,
% 12.57/8.89 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s8) | until231(s8) | (~node235(s8))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 12.57/8.89 tff(13399,plain,
% 12.57/8.89 (until231(s8) | (~node235(s8))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13398, 13368, 13395])).
% 12.57/8.89 tff(13400,plain,
% 12.57/8.89 (~node235(s8)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13399, 13171])).
% 12.57/8.89 tff(13401,plain,
% 12.57/8.89 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s9) | (~node207(s9)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s9) | (~node207(s9)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13402,plain,
% 12.57/8.89 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s9) | (~node207(s9)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13403,plain,
% 12.57/8.89 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s9) | (~node207(s9))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 12.57/8.89 tff(13404,plain,
% 12.57/8.89 (~node207(s9)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13403, 13354, 13314])).
% 12.57/8.89 tff(13405,plain,
% 12.57/8.89 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s9) | until231(s9) | (~node235(s9)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s9) | until231(s9) | (~node235(s9)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13406,plain,
% 12.57/8.89 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s9) | until231(s9) | (~node235(s9)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13407,plain,
% 12.57/8.89 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s9) | until231(s9) | (~node235(s9))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13406, 13405])).
% 12.57/8.89 tff(13408,plain,
% 12.57/8.89 (until231(s9) | (~node235(s9))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13407, 13368, 13404])).
% 12.57/8.89 tff(13409,plain,
% 12.57/8.89 (~node235(s9)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13408, 13148])).
% 12.57/8.89 tff(13410,plain,
% 12.57/8.89 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil237(X))) <=> (loop | (~last(X)) | (~xuntil237(X))))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13411,plain,
% 12.57/8.89 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13410])).
% 12.57/8.89 tff(13412,plain,
% 12.57/8.89 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13413,plain,
% 12.57/8.89 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil237(X))) <=> (loop | (~last(X)) | (~xuntil237(X))))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13414,plain,
% 12.57/8.89 (![X: $i] : ((loop | (~last(X))) | (~xuntil237(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13413])).
% 12.57/8.89 tff(13415,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil237(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty138')).
% 12.57/8.89 tff(13416,plain,
% 12.57/8.89 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13415, 13414])).
% 12.57/8.89 tff(13417,plain,
% 12.57/8.89 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13416, 13412])).
% 12.57/8.89 tff(13418,plain,(
% 12.57/8.89 ![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(skolemize,[status(sab)],[13417])).
% 12.57/8.89 tff(13419,plain,
% 12.57/8.89 (![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13418, 13411])).
% 12.57/8.89 tff(13420,plain,
% 12.57/8.89 (((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | (loop | (~last(s9)) | (~xuntil237(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | loop | (~last(s9)) | (~xuntil237(s9)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13421,plain,
% 12.57/8.89 ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | (loop | (~last(s9)) | (~xuntil237(s9)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13422,plain,
% 12.57/8.89 ((~![X: $i] : (loop | (~last(X)) | (~xuntil237(X)))) | loop | (~last(s9)) | (~xuntil237(s9))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 12.57/8.89 tff(13423,plain,
% 12.57/8.89 (loop | (~xuntil237(s9))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13422, 12530, 13419])).
% 12.57/8.89 tff(13424,plain,
% 12.57/8.89 (~xuntil237(s9)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13423, 12517])).
% 12.57/8.89 tff(13425,plain,
% 12.57/8.89 (^[X: $i] : refl((node235(X) | (~until236(X)) | xuntil237(X)) <=> (node235(X) | (~until236(X)) | xuntil237(X)))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13426,plain,
% 12.57/8.89 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X)) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13425])).
% 12.57/8.89 tff(13427,plain,
% 12.57/8.89 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X)) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13428,plain,
% 12.57/8.89 (^[X: $i] : rewrite(((node235(X) | xuntil237(X)) | (~until236(X))) <=> (node235(X) | (~until236(X)) | xuntil237(X)))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13429,plain,
% 12.57/8.89 (![X: $i] : ((node235(X) | xuntil237(X)) | (~until236(X))) <=> ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13428])).
% 12.57/8.89 tff(13430,axiom,(![X: $i] : ((node235(X) | xuntil237(X)) | (~until236(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty136')).
% 12.57/8.89 tff(13431,plain,
% 12.57/8.89 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 12.57/8.89 tff(13432,plain,
% 12.57/8.89 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13431, 13427])).
% 12.57/8.89 tff(13433,plain,(
% 12.57/8.89 ![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(skolemize,[status(sab)],[13432])).
% 12.57/8.89 tff(13434,plain,
% 12.57/8.89 (![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13433, 13426])).
% 12.57/8.89 tff(13435,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s9) | node235(s9) | (~until236(s9)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13436,plain,
% 12.57/8.89 ((node235(s9) | (~until236(s9)) | xuntil237(s9)) <=> (xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13437,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s9) | node235(s9) | (~until236(s9))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13436])).
% 12.57/8.89 tff(13438,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13437, 13435])).
% 12.57/8.89 tff(13439,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s9) | (~until236(s9)) | xuntil237(s9))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13440,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s9) | node235(s9) | (~until236(s9))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 12.57/8.89 tff(13441,plain,
% 12.57/8.89 (node235(s9) | (~until236(s9))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13440, 13434, 13424])).
% 12.57/8.89 tff(13442,plain,
% 12.57/8.89 (~until236(s9)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13441, 13409])).
% 12.57/8.89 tff(13443,plain,
% 12.57/8.89 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13444,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13443])).
% 12.57/8.89 tff(13445,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13446,plain,
% 12.57/8.89 (^[Y: $i, X: $i] : rewrite(((until236(Y) | (~succ(X, Y))) | (~xuntil237(X))) <=> ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y)))),
% 12.57/8.89 inference(bind,[status(th)],[])).
% 12.57/8.89 tff(13447,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((until236(Y) | (~succ(X, Y))) | (~xuntil237(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(quant_intro,[status(thm)],[13446])).
% 12.57/8.89 tff(13448,axiom,(![Y: $i, X: $i] : ((until236(Y) | (~succ(X, Y))) | (~xuntil237(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty137')).
% 12.57/8.89 tff(13449,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 12.57/8.89 tff(13450,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13449, 13445])).
% 12.57/8.89 tff(13451,plain,(
% 12.57/8.89 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(skolemize,[status(sab)],[13450])).
% 12.57/8.89 tff(13452,plain,
% 12.57/8.89 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13451, 13444])).
% 12.57/8.89 tff(13453,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13454,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13455,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s8, s9)) | (~xuntil237(s8)) | until236(s9)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13454, 13453])).
% 12.57/8.89 tff(13456,plain,
% 12.57/8.89 ((~xuntil237(s8)) | until236(s9)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13455, 4958, 13452])).
% 12.57/8.89 tff(13457,plain,
% 12.57/8.89 (~xuntil237(s8)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13456, 13442])).
% 12.57/8.89 tff(13458,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s8) | node235(s8) | (~until236(s8)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13459,plain,
% 12.57/8.89 ((node235(s8) | (~until236(s8)) | xuntil237(s8)) <=> (xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13460,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s8) | node235(s8) | (~until236(s8))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13459])).
% 12.57/8.89 tff(13461,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13460, 13458])).
% 12.57/8.89 tff(13462,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s8) | (~until236(s8)) | xuntil237(s8))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13463,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s8) | node235(s8) | (~until236(s8))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13462, 13461])).
% 12.57/8.89 tff(13464,plain,
% 12.57/8.89 (node235(s8) | (~until236(s8))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13463, 13434, 13457])).
% 12.57/8.89 tff(13465,plain,
% 12.57/8.89 (~until236(s8)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13464, 13400])).
% 12.57/8.89 tff(13466,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13467,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13468,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s7, s8)) | (~xuntil237(s7)) | until236(s8)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 12.57/8.89 tff(13469,plain,
% 12.57/8.89 ((~xuntil237(s7)) | until236(s8)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13468, 4826, 13452])).
% 12.57/8.89 tff(13470,plain,
% 12.57/8.89 (~xuntil237(s7)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13469, 13465])).
% 12.57/8.89 tff(13471,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s7) | node235(s7) | (~until236(s7)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13472,plain,
% 12.57/8.89 ((node235(s7) | (~until236(s7)) | xuntil237(s7)) <=> (xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13473,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s7) | node235(s7) | (~until236(s7))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13472])).
% 12.57/8.89 tff(13474,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13473, 13471])).
% 12.57/8.89 tff(13475,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s7) | (~until236(s7)) | xuntil237(s7))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13476,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s7) | node235(s7) | (~until236(s7))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 12.57/8.89 tff(13477,plain,
% 12.57/8.89 (node235(s7) | (~until236(s7))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13476, 13434, 13470])).
% 12.57/8.89 tff(13478,plain,
% 12.57/8.89 (~until236(s7)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13477, 13391])).
% 12.57/8.89 tff(13479,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13480,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13481,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s6, s7)) | (~xuntil237(s6)) | until236(s7)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 12.57/8.89 tff(13482,plain,
% 12.57/8.89 ((~xuntil237(s6)) | until236(s7)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13481, 2091, 13452])).
% 12.57/8.89 tff(13483,plain,
% 12.57/8.89 (~xuntil237(s6)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13482, 13478])).
% 12.57/8.89 tff(13484,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s6) | node235(s6) | (~until236(s6)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13485,plain,
% 12.57/8.89 ((node235(s6) | (~until236(s6)) | xuntil237(s6)) <=> (xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13486,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s6) | node235(s6) | (~until236(s6))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13485])).
% 12.57/8.89 tff(13487,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13486, 13484])).
% 12.57/8.89 tff(13488,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s6) | (~until236(s6)) | xuntil237(s6))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13489,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s6) | node235(s6) | (~until236(s6))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 12.57/8.89 tff(13490,plain,
% 12.57/8.89 (node235(s6) | (~until236(s6))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13489, 13434, 13483])).
% 12.57/8.89 tff(13491,plain,
% 12.57/8.89 (~until236(s6)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13490, 13382])).
% 12.57/8.89 tff(13492,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13493,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13494,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s5, s6)) | (~xuntil237(s5)) | until236(s6)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13493, 13492])).
% 12.57/8.89 tff(13495,plain,
% 12.57/8.89 ((~xuntil237(s5)) | until236(s6)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13494, 10, 13452])).
% 12.57/8.89 tff(13496,plain,
% 12.57/8.89 (~xuntil237(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13495, 13491])).
% 12.57/8.89 tff(13497,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s5) | node235(s5) | (~until236(s5)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13498,plain,
% 12.57/8.89 ((node235(s5) | (~until236(s5)) | xuntil237(s5)) <=> (xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13499,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s5) | node235(s5) | (~until236(s5))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13498])).
% 12.57/8.89 tff(13500,plain,
% 12.57/8.89 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13499, 13497])).
% 12.57/8.89 tff(13501,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s5) | (~until236(s5)) | xuntil237(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13502,plain,
% 12.57/8.89 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s5) | node235(s5) | (~until236(s5))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13501, 13500])).
% 12.57/8.89 tff(13503,plain,
% 12.57/8.89 (~until236(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13502, 13434, 13496, 13373])).
% 12.57/8.89 tff(13504,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13505,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13506,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s4, s5)) | (~xuntil237(s4)) | until236(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 12.57/8.89 tff(13507,plain,
% 12.57/8.89 ((~xuntil237(s4)) | until236(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13506, 1039, 13452])).
% 12.57/8.89 tff(13508,plain,
% 12.57/8.89 (~xuntil237(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13507, 13503])).
% 12.57/8.89 tff(13509,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13510,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13511,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s4, s5)) | (~xuntil232(s4)) | until231(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 12.57/8.89 tff(13512,plain,
% 12.57/8.89 ((~xuntil232(s4)) | until231(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13511, 1039, 13158])).
% 12.57/8.89 tff(13513,plain,
% 12.57/8.89 (~xuntil232(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13512, 13299])).
% 12.57/8.89 tff(13514,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13515,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13516,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s4, s5)) | (~xuntil227(s4)) | until226(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 12.57/8.89 tff(13517,plain,
% 12.57/8.89 ((~xuntil227(s4)) | until226(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13516, 1039, 12918])).
% 12.57/8.89 tff(13518,plain,
% 12.57/8.89 (~xuntil227(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13517, 13277])).
% 12.57/8.89 tff(13519,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13520,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13521,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s4, s5)) | (~xuntil222(s4)) | until221(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13520, 13519])).
% 12.57/8.89 tff(13522,plain,
% 12.57/8.89 ((~xuntil222(s4)) | until221(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13521, 1039, 12732])).
% 12.57/8.89 tff(13523,plain,
% 12.57/8.89 (~xuntil222(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13522, 13255])).
% 12.57/8.89 tff(13524,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13525,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13526,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s4, s5)) | (~xuntil217(s4)) | until216(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 12.57/8.89 tff(13527,plain,
% 12.57/8.89 ((~xuntil217(s4)) | until216(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13526, 1039, 12655])).
% 12.57/8.89 tff(13528,plain,
% 12.57/8.89 (~xuntil217(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13527, 13233])).
% 12.57/8.89 tff(13529,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s4, s5)) | (~always214(s4)) | always214(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s4, s5)) | (~always214(s4)) | always214(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13530,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s4, s5)) | (~always214(s4)) | always214(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13531,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s4, s5)) | (~always214(s4)) | always214(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 12.57/8.89 tff(13532,plain,
% 12.57/8.89 ((~always214(s4)) | always214(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13531, 12589, 1043])).
% 12.57/8.89 tff(13533,plain,
% 12.57/8.89 (~always214(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13532, 13221])).
% 12.57/8.89 tff(13534,plain,
% 12.57/8.89 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s4) | (~node215(s4)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s4) | (~node215(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13535,plain,
% 12.57/8.89 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s4) | (~node215(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13536,plain,
% 12.57/8.89 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s4) | (~node215(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 12.57/8.89 tff(13537,plain,
% 12.57/8.89 (~node215(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13536, 12604, 13533])).
% 12.57/8.89 tff(13538,plain,
% 12.57/8.89 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s4) | node215(s4) | (~until216(s4)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13539,plain,
% 12.57/8.89 ((node215(s4) | (~until216(s4)) | xuntil217(s4)) <=> (xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13540,plain,
% 12.57/8.89 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s4) | node215(s4) | (~until216(s4))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13539])).
% 12.57/8.89 tff(13541,plain,
% 12.57/8.89 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13540, 13538])).
% 12.57/8.89 tff(13542,plain,
% 12.57/8.89 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s4) | (~until216(s4)) | xuntil217(s4))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13543,plain,
% 12.57/8.89 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s4) | node215(s4) | (~until216(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 12.57/8.89 tff(13544,plain,
% 12.57/8.89 (xuntil217(s4) | (~until216(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13543, 12637, 13537])).
% 12.57/8.89 tff(13545,plain,
% 12.57/8.89 (~until216(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13544, 13528])).
% 12.57/8.89 tff(13546,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s4, s5)) | always212(s5) | (~always212(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s4, s5)) | always212(s5) | (~always212(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13547,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s4, s5)) | always212(s5) | (~always212(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13548,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s4, s5)) | always212(s5) | (~always212(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 12.57/8.89 tff(13549,plain,
% 12.57/8.89 (always212(s5) | (~always212(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13548, 12545, 1043])).
% 12.57/8.89 tff(13550,plain,
% 12.57/8.89 (~always212(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13549, 13238])).
% 12.57/8.89 tff(13551,plain,
% 12.57/8.89 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s4) | (~node213(s4)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s4) | (~node213(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13552,plain,
% 12.57/8.89 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s4) | (~node213(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13553,plain,
% 12.57/8.89 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s4) | (~node213(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 12.57/8.89 tff(13554,plain,
% 12.57/8.89 (~node213(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13553, 12560, 13550])).
% 12.57/8.89 tff(13555,plain,
% 12.57/8.89 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s4) | until216(s4) | (~node220(s4)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s4) | until216(s4) | (~node220(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13556,plain,
% 12.57/8.89 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s4) | until216(s4) | (~node220(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13557,plain,
% 12.57/8.89 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s4) | until216(s4) | (~node220(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 12.57/8.89 tff(13558,plain,
% 12.57/8.89 (until216(s4) | (~node220(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13557, 12677, 13554])).
% 12.57/8.89 tff(13559,plain,
% 12.57/8.89 (~node220(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13558, 13545])).
% 12.57/8.89 tff(13560,plain,
% 12.57/8.89 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s4) | node220(s4) | (~until221(s4)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13561,plain,
% 12.57/8.89 ((node220(s4) | (~until221(s4)) | xuntil222(s4)) <=> (xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13562,plain,
% 12.57/8.89 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s4) | node220(s4) | (~until221(s4))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13561])).
% 12.57/8.89 tff(13563,plain,
% 12.57/8.89 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13562, 13560])).
% 12.57/8.89 tff(13564,plain,
% 12.57/8.89 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s4) | (~until221(s4)) | xuntil222(s4))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13565,plain,
% 12.57/8.89 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s4) | node220(s4) | (~until221(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13564, 13563])).
% 12.57/8.89 tff(13566,plain,
% 12.57/8.89 (xuntil222(s4) | (~until221(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13565, 12714, 13559])).
% 12.57/8.89 tff(13567,plain,
% 12.57/8.89 (~until221(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13566, 13523])).
% 12.57/8.89 tff(13568,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s4, s5)) | always210(s5) | (~always210(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s4, s5)) | always210(s5) | (~always210(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13569,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s4, s5)) | always210(s5) | (~always210(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13570,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s4, s5)) | always210(s5) | (~always210(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 12.57/8.89 tff(13571,plain,
% 12.57/8.89 (always210(s5) | (~always210(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13570, 12818, 1043])).
% 12.57/8.89 tff(13572,plain,
% 12.57/8.89 (~always210(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13571, 13260])).
% 12.57/8.89 tff(13573,plain,
% 12.57/8.89 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s4) | (~node211(s4)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s4) | (~node211(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13574,plain,
% 12.57/8.89 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s4) | (~node211(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13575,plain,
% 12.57/8.89 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s4) | (~node211(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 12.57/8.89 tff(13576,plain,
% 12.57/8.89 (~node211(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13575, 12838, 13572])).
% 12.57/8.89 tff(13577,plain,
% 12.57/8.89 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s4) | until221(s4) | (~node225(s4)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s4) | until221(s4) | (~node225(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13578,plain,
% 12.57/8.89 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s4) | until221(s4) | (~node225(s4)))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13579,plain,
% 12.57/8.89 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s4) | until221(s4) | (~node225(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 12.57/8.89 tff(13580,plain,
% 12.57/8.89 (until221(s4) | (~node225(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13579, 12852, 13576])).
% 12.57/8.89 tff(13581,plain,
% 12.57/8.89 (~node225(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13580, 13567])).
% 12.57/8.89 tff(13582,plain,
% 12.57/8.89 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s4) | node225(s4) | (~until226(s4)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13583,plain,
% 12.57/8.89 ((node225(s4) | (~until226(s4)) | xuntil227(s4)) <=> (xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13584,plain,
% 12.57/8.89 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s4) | node225(s4) | (~until226(s4))))),
% 12.57/8.89 inference(monotonicity,[status(thm)],[13583])).
% 12.57/8.89 tff(13585,plain,
% 12.57/8.89 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4)))),
% 12.57/8.89 inference(transitivity,[status(thm)],[13584, 13582])).
% 12.57/8.89 tff(13586,plain,
% 12.57/8.89 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s4) | (~until226(s4)) | xuntil227(s4))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13587,plain,
% 12.57/8.89 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s4) | node225(s4) | (~until226(s4))),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 12.57/8.89 tff(13588,plain,
% 12.57/8.89 (xuntil227(s4) | (~until226(s4))),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13587, 12900, 13581])).
% 12.57/8.89 tff(13589,plain,
% 12.57/8.89 (~until226(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13588, 13518])).
% 12.57/8.89 tff(13590,plain,
% 12.57/8.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s4, s5)) | (~always208(s4)) | always208(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s4, s5)) | (~always208(s4)) | always208(s5))),
% 12.57/8.89 inference(rewrite,[status(thm)],[])).
% 12.57/8.89 tff(13591,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s4, s5)) | (~always208(s4)) | always208(s5))),
% 12.57/8.89 inference(quant_inst,[status(thm)],[])).
% 12.57/8.89 tff(13592,plain,
% 12.57/8.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s4, s5)) | (~always208(s4)) | always208(s5)),
% 12.57/8.89 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 12.57/8.89 tff(13593,plain,
% 12.57/8.89 ((~always208(s4)) | always208(s5)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13592, 13044, 1043])).
% 12.57/8.89 tff(13594,plain,
% 12.57/8.89 (~always208(s4)),
% 12.57/8.89 inference(unit_resolution,[status(thm)],[13593, 13282])).
% 12.57/8.89 tff(13595,plain,
% 12.57/8.89 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s4) | (~node209(s4)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s4) | (~node209(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13596,plain,
% 12.57/8.90 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s4) | (~node209(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13597,plain,
% 12.57/8.90 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s4) | (~node209(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 12.57/8.90 tff(13598,plain,
% 12.57/8.90 (~node209(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13597, 13069, 13594])).
% 12.57/8.90 tff(13599,plain,
% 12.57/8.90 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s4) | until226(s4) | (~node230(s4)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s4) | until226(s4) | (~node230(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13600,plain,
% 12.57/8.90 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s4) | until226(s4) | (~node230(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13601,plain,
% 12.57/8.90 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s4) | until226(s4) | (~node230(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13600, 13599])).
% 12.57/8.90 tff(13602,plain,
% 12.57/8.90 (until226(s4) | (~node230(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13601, 13083, 13598])).
% 12.57/8.90 tff(13603,plain,
% 12.57/8.90 (~node230(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13602, 13589])).
% 12.57/8.90 tff(13604,plain,
% 12.57/8.90 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s4) | node230(s4) | (~until231(s4)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13605,plain,
% 12.57/8.90 ((node230(s4) | (~until231(s4)) | xuntil232(s4)) <=> (xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13606,plain,
% 12.57/8.90 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s4) | node230(s4) | (~until231(s4))))),
% 12.57/8.90 inference(monotonicity,[status(thm)],[13605])).
% 12.57/8.90 tff(13607,plain,
% 12.57/8.90 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4)))),
% 12.57/8.90 inference(transitivity,[status(thm)],[13606, 13604])).
% 12.57/8.90 tff(13608,plain,
% 12.57/8.90 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s4) | (~until231(s4)) | xuntil232(s4))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13609,plain,
% 12.57/8.90 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s4) | node230(s4) | (~until231(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 12.57/8.90 tff(13610,plain,
% 12.57/8.90 (xuntil232(s4) | (~until231(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13609, 13140, 13603])).
% 12.57/8.90 tff(13611,plain,
% 12.57/8.90 (~until231(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13610, 13513])).
% 12.57/8.90 tff(13612,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s4, s5)) | (~always206(s4)) | always206(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s4, s5)) | (~always206(s4)) | always206(s5))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13613,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s4, s5)) | (~always206(s4)) | always206(s5))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13614,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s4, s5)) | (~always206(s4)) | always206(s5)),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 12.57/8.90 tff(13615,plain,
% 12.57/8.90 ((~always206(s4)) | always206(s5)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13614, 13324, 1043])).
% 12.57/8.90 tff(13616,plain,
% 12.57/8.90 (~always206(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13615, 13347])).
% 12.57/8.90 tff(13617,plain,
% 12.57/8.90 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s4) | (~node207(s4)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s4) | (~node207(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13618,plain,
% 12.57/8.90 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s4) | (~node207(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13619,plain,
% 12.57/8.90 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s4) | (~node207(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 12.57/8.90 tff(13620,plain,
% 12.57/8.90 (~node207(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13619, 13354, 13616])).
% 12.57/8.90 tff(13621,plain,
% 12.57/8.90 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s4) | until231(s4) | (~node235(s4)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s4) | until231(s4) | (~node235(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13622,plain,
% 12.57/8.90 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s4) | until231(s4) | (~node235(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13623,plain,
% 12.57/8.90 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s4) | until231(s4) | (~node235(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 12.57/8.90 tff(13624,plain,
% 12.57/8.90 (until231(s4) | (~node235(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13623, 13368, 13620])).
% 12.57/8.90 tff(13625,plain,
% 12.57/8.90 (~node235(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13624, 13611])).
% 12.57/8.90 tff(13626,plain,
% 12.57/8.90 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s4) | node235(s4) | (~until236(s4)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13627,plain,
% 12.57/8.90 ((node235(s4) | (~until236(s4)) | xuntil237(s4)) <=> (xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13628,plain,
% 12.57/8.90 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s4) | node235(s4) | (~until236(s4))))),
% 12.57/8.90 inference(monotonicity,[status(thm)],[13627])).
% 12.57/8.90 tff(13629,plain,
% 12.57/8.90 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4)))),
% 12.57/8.90 inference(transitivity,[status(thm)],[13628, 13626])).
% 12.57/8.90 tff(13630,plain,
% 12.57/8.90 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s4) | (~until236(s4)) | xuntil237(s4))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13631,plain,
% 12.57/8.90 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s4) | node235(s4) | (~until236(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 12.57/8.90 tff(13632,plain,
% 12.57/8.90 (xuntil237(s4) | (~until236(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13631, 13434, 13625])).
% 12.57/8.90 tff(13633,plain,
% 12.57/8.90 (~until236(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13632, 13508])).
% 12.57/8.90 tff(13634,plain,
% 12.57/8.90 (^[X: $i] : refl((loop | (~last(X)) | (~always204(X))) <=> (loop | (~last(X)) | (~always204(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13635,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~always204(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13634])).
% 12.57/8.90 tff(13636,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~always204(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13637,plain,
% 12.57/8.90 (^[X: $i] : rewrite(((loop | (~always204(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always204(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13638,plain,
% 12.57/8.90 (![X: $i] : ((loop | (~always204(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13637])).
% 12.57/8.90 tff(13639,axiom,(![X: $i] : ((loop | (~always204(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty63')).
% 12.57/8.90 tff(13640,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 12.57/8.90 tff(13641,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13640, 13636])).
% 12.57/8.90 tff(13642,plain,(
% 12.57/8.90 ![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13641])).
% 12.57/8.90 tff(13643,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13642, 13635])).
% 12.57/8.90 tff(13644,plain,
% 12.57/8.90 (((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | (loop | (~last(s9)) | (~always204(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | loop | (~last(s9)) | (~always204(s9)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13645,plain,
% 12.57/8.90 ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | (loop | (~last(s9)) | (~always204(s9)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13646,plain,
% 12.57/8.90 ((~![X: $i] : (loop | (~last(X)) | (~always204(X)))) | loop | (~last(s9)) | (~always204(s9))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 12.57/8.90 tff(13647,plain,
% 12.57/8.90 (loop | (~always204(s9))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13646, 12530, 13643])).
% 12.57/8.90 tff(13648,plain,
% 12.57/8.90 (~always204(s9)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13647, 12517])).
% 12.57/8.90 tff(13649,plain,
% 12.57/8.90 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ((~trans(X, Y)) | always204(Y) | (~always204(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13650,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13649])).
% 12.57/8.90 tff(13651,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13652,plain,
% 12.57/8.90 (^[Y: $i, X: $i] : rewrite(((always204(Y) | (~trans(X, Y))) | (~always204(X))) <=> ((~trans(X, Y)) | always204(Y) | (~always204(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13653,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((always204(Y) | (~trans(X, Y))) | (~always204(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13652])).
% 12.57/8.90 tff(13654,axiom,(![Y: $i, X: $i] : ((always204(Y) | (~trans(X, Y))) | (~always204(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty62')).
% 12.57/8.90 tff(13655,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13654, 13653])).
% 12.57/8.90 tff(13656,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13655, 13651])).
% 12.57/8.90 tff(13657,plain,(
% 12.57/8.90 ![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13656])).
% 12.57/8.90 tff(13658,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13657, 13650])).
% 12.57/8.90 tff(13659,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (always204(s9) | (~trans(s8, s9)) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13660,plain,
% 12.57/8.90 (((~trans(s8, s9)) | always204(s9) | (~always204(s8))) <=> (always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13661,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (always204(s9) | (~trans(s8, s9)) | (~always204(s8))))),
% 12.57/8.90 inference(monotonicity,[status(thm)],[13660])).
% 12.57/8.90 tff(13662,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8)))),
% 12.57/8.90 inference(transitivity,[status(thm)],[13661, 13659])).
% 12.57/8.90 tff(13663,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s8, s9)) | always204(s9) | (~always204(s8)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13664,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | always204(s9) | (~trans(s8, s9)) | (~always204(s8))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13663, 13662])).
% 12.57/8.90 tff(13665,plain,
% 12.57/8.90 (always204(s9) | (~always204(s8))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13664, 13658, 4962])).
% 12.57/8.90 tff(13666,plain,
% 12.57/8.90 (~always204(s8)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13665, 13648])).
% 12.57/8.90 tff(13667,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s7, s8)) | always204(s8) | (~always204(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s7, s8)) | always204(s8) | (~always204(s7)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13668,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s7, s8)) | always204(s8) | (~always204(s7)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13669,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s7, s8)) | always204(s8) | (~always204(s7))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13668, 13667])).
% 12.57/8.90 tff(13670,plain,
% 12.57/8.90 (always204(s8) | (~always204(s7))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13669, 13658, 4830])).
% 12.57/8.90 tff(13671,plain,
% 12.57/8.90 (~always204(s7)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13670, 13666])).
% 12.57/8.90 tff(13672,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s6, s7)) | always204(s7) | (~always204(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s6, s7)) | always204(s7) | (~always204(s6)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13673,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s6, s7)) | always204(s7) | (~always204(s6)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13674,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s6, s7)) | always204(s7) | (~always204(s6))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 12.57/8.90 tff(13675,plain,
% 12.57/8.90 (always204(s7) | (~always204(s6))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13674, 13658, 2095])).
% 12.57/8.90 tff(13676,plain,
% 12.57/8.90 (~always204(s6)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13675, 13671])).
% 12.57/8.90 tff(13677,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s5, s6)) | always204(s6) | (~always204(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s5, s6)) | always204(s6) | (~always204(s5)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13678,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s5, s6)) | always204(s6) | (~always204(s5)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13679,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s5, s6)) | always204(s6) | (~always204(s5))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 12.57/8.90 tff(13680,plain,
% 12.57/8.90 (always204(s6) | (~always204(s5))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13679, 13658, 14])).
% 12.57/8.90 tff(13681,plain,
% 12.57/8.90 (~always204(s5)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13680, 13676])).
% 12.57/8.90 tff(13682,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s4, s5)) | always204(s5) | (~always204(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s4, s5)) | always204(s5) | (~always204(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13683,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s4, s5)) | always204(s5) | (~always204(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13684,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s4, s5)) | always204(s5) | (~always204(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 12.57/8.90 tff(13685,plain,
% 12.57/8.90 (always204(s5) | (~always204(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13684, 13658, 1043])).
% 12.57/8.90 tff(13686,plain,
% 12.57/8.90 (~always204(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13685, 13681])).
% 12.57/8.90 tff(13687,plain,
% 12.57/8.90 (^[X: $i] : refl((always204(X) | (~node205(X))) <=> (always204(X) | (~node205(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13688,plain,
% 12.57/8.90 (![X: $i] : (always204(X) | (~node205(X))) <=> ![X: $i] : (always204(X) | (~node205(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13687])).
% 12.57/8.90 tff(13689,plain,
% 12.57/8.90 (![X: $i] : (always204(X) | (~node205(X))) <=> ![X: $i] : (always204(X) | (~node205(X)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13690,axiom,(![X: $i] : (always204(X) | (~node205(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty67')).
% 12.57/8.90 tff(13691,plain,
% 12.57/8.90 (![X: $i] : (always204(X) | (~node205(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 12.57/8.90 tff(13692,plain,(
% 12.57/8.90 ![X: $i] : (always204(X) | (~node205(X)))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13691])).
% 12.57/8.90 tff(13693,plain,
% 12.57/8.90 (![X: $i] : (always204(X) | (~node205(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13692, 13688])).
% 12.57/8.90 tff(13694,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s4) | (~node205(s4)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s4) | (~node205(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13695,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s4) | (~node205(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13696,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s4) | (~node205(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 12.57/8.90 tff(13697,plain,
% 12.57/8.90 (~node205(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13696, 13693, 13686])).
% 12.57/8.90 tff(13698,plain,
% 12.57/8.90 (^[X: $i] : refl((node205(X) | until236(X) | (~node240(X))) <=> (node205(X) | until236(X) | (~node240(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13699,plain,
% 12.57/8.90 (![X: $i] : (node205(X) | until236(X) | (~node240(X))) <=> ![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13698])).
% 12.57/8.90 tff(13700,plain,
% 12.57/8.90 (![X: $i] : (node205(X) | until236(X) | (~node240(X))) <=> ![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13701,plain,
% 12.57/8.90 (^[X: $i] : rewrite(((node205(X) | until236(X)) | (~node240(X))) <=> (node205(X) | until236(X) | (~node240(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13702,plain,
% 12.57/8.90 (![X: $i] : ((node205(X) | until236(X)) | (~node240(X))) <=> ![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13701])).
% 12.57/8.90 tff(13703,axiom,(![X: $i] : ((node205(X) | until236(X)) | (~node240(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty143')).
% 12.57/8.90 tff(13704,plain,
% 12.57/8.90 (![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13703, 13702])).
% 12.57/8.90 tff(13705,plain,
% 12.57/8.90 (![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13704, 13700])).
% 12.57/8.90 tff(13706,plain,(
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% 12.57/8.90 inference(skolemize,[status(sab)],[13705])).
% 12.57/8.90 tff(13707,plain,
% 12.57/8.90 (![X: $i] : (node205(X) | until236(X) | (~node240(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13706, 13699])).
% 12.57/8.90 tff(13708,plain,
% 12.57/8.90 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s4) | until236(s4) | (~node240(s4)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s4) | until236(s4) | (~node240(s4)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13709,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s4) | until236(s4) | (~node240(s4)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13710,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s4) | until236(s4) | (~node240(s4))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13709, 13708])).
% 12.57/8.90 tff(13711,plain,
% 12.57/8.90 (until236(s4) | (~node240(s4))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13710, 13707, 13697])).
% 12.57/8.90 tff(13712,plain,
% 12.57/8.90 (~node240(s4)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13711, 13633])).
% 12.57/8.90 tff(13713,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s5) | (~node205(s5)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s5) | (~node205(s5)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13714,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s5) | (~node205(s5)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13715,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s5) | (~node205(s5))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 12.57/8.90 tff(13716,plain,
% 12.57/8.90 (~node205(s5)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13715, 13693, 13681])).
% 12.57/8.90 tff(13717,plain,
% 12.57/8.90 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s5) | until236(s5) | (~node240(s5)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s5) | until236(s5) | (~node240(s5)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13718,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s5) | until236(s5) | (~node240(s5)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13719,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s5) | until236(s5) | (~node240(s5))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 12.57/8.90 tff(13720,plain,
% 12.57/8.90 (until236(s5) | (~node240(s5))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13719, 13707, 13716])).
% 12.57/8.90 tff(13721,plain,
% 12.57/8.90 (~node240(s5)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13720, 13503])).
% 12.57/8.90 tff(13722,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s6) | (~node205(s6)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s6) | (~node205(s6)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13723,plain,
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% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13724,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s6) | (~node205(s6))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 12.57/8.90 tff(13725,plain,
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% 12.57/8.90 inference(unit_resolution,[status(thm)],[13724, 13693, 13676])).
% 12.57/8.90 tff(13726,plain,
% 12.57/8.90 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s6) | until236(s6) | (~node240(s6)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s6) | until236(s6) | (~node240(s6)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13727,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s6) | until236(s6) | (~node240(s6)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13728,plain,
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% 12.57/8.90 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 12.57/8.90 tff(13729,plain,
% 12.57/8.90 (until236(s6) | (~node240(s6))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13728, 13707, 13725])).
% 12.57/8.90 tff(13730,plain,
% 12.57/8.90 (~node240(s6)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13729, 13491])).
% 12.57/8.90 tff(13731,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s7) | (~node205(s7)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s7) | (~node205(s7)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13732,plain,
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% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13733,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s7) | (~node205(s7))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 12.57/8.90 tff(13734,plain,
% 12.57/8.90 (~node205(s7)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13733, 13693, 13671])).
% 12.57/8.90 tff(13735,plain,
% 12.57/8.90 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s7) | until236(s7) | (~node240(s7)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s7) | until236(s7) | (~node240(s7)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13736,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s7) | until236(s7) | (~node240(s7)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13737,plain,
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% 12.57/8.90 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 12.57/8.90 tff(13738,plain,
% 12.57/8.90 (until236(s7) | (~node240(s7))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13737, 13707, 13734])).
% 12.57/8.90 tff(13739,plain,
% 12.57/8.90 (~node240(s7)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13738, 13478])).
% 12.57/8.90 tff(13740,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s8) | (~node205(s8)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s8) | (~node205(s8)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13741,plain,
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% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13742,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s8) | (~node205(s8))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 12.57/8.90 tff(13743,plain,
% 12.57/8.90 (~node205(s8)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13742, 13693, 13666])).
% 12.57/8.90 tff(13744,plain,
% 12.57/8.90 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s8) | until236(s8) | (~node240(s8)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s8) | until236(s8) | (~node240(s8)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13745,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s8) | until236(s8) | (~node240(s8)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13746,plain,
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% 12.57/8.90 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 12.57/8.90 tff(13747,plain,
% 12.57/8.90 (until236(s8) | (~node240(s8))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13746, 13707, 13743])).
% 12.57/8.90 tff(13748,plain,
% 12.57/8.90 (~node240(s8)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13747, 13465])).
% 12.57/8.90 tff(13749,plain,
% 12.57/8.90 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s9) | (~node205(s9)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s9) | (~node205(s9)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13750,plain,
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% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13751,plain,
% 12.57/8.90 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s9) | (~node205(s9))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 12.57/8.90 tff(13752,plain,
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% 12.57/8.90 inference(unit_resolution,[status(thm)],[13751, 13693, 13648])).
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% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13754,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s9) | until236(s9) | (~node240(s9)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13755,plain,
% 12.57/8.90 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s9) | until236(s9) | (~node240(s9))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 12.57/8.90 tff(13756,plain,
% 12.57/8.90 (until236(s9) | (~node240(s9))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13755, 13707, 13752])).
% 12.57/8.90 tff(13757,plain,
% 12.57/8.90 (~node240(s9)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13756, 13442])).
% 12.57/8.90 tff(13758,plain,
% 12.57/8.90 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil242(X))) <=> (loop | (~last(X)) | (~xuntil242(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13759,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13758])).
% 12.57/8.90 tff(13760,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13761,plain,
% 12.57/8.90 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil242(X))) <=> (loop | (~last(X)) | (~xuntil242(X))))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13762,plain,
% 12.57/8.90 (![X: $i] : ((loop | (~last(X))) | (~xuntil242(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13761])).
% 12.57/8.90 tff(13763,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil242(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty146')).
% 12.57/8.90 tff(13764,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13763, 13762])).
% 12.57/8.90 tff(13765,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13764, 13760])).
% 12.57/8.90 tff(13766,plain,(
% 12.57/8.90 ![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13765])).
% 12.57/8.90 tff(13767,plain,
% 12.57/8.90 (![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13766, 13759])).
% 12.57/8.90 tff(13768,plain,
% 12.57/8.90 (((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | (loop | (~last(s9)) | (~xuntil242(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | loop | (~last(s9)) | (~xuntil242(s9)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13769,plain,
% 12.57/8.90 ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | (loop | (~last(s9)) | (~xuntil242(s9)))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13770,plain,
% 12.57/8.90 ((~![X: $i] : (loop | (~last(X)) | (~xuntil242(X)))) | loop | (~last(s9)) | (~xuntil242(s9))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 12.57/8.90 tff(13771,plain,
% 12.57/8.90 (loop | (~xuntil242(s9))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13770, 12530, 13767])).
% 12.57/8.90 tff(13772,plain,
% 12.57/8.90 (~xuntil242(s9)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13771, 12517])).
% 12.57/8.90 tff(13773,plain,
% 12.57/8.90 (^[X: $i] : refl((node240(X) | (~until241(X)) | xuntil242(X)) <=> (node240(X) | (~until241(X)) | xuntil242(X)))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13774,plain,
% 12.57/8.90 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X)) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13773])).
% 12.57/8.90 tff(13775,plain,
% 12.57/8.90 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X)) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13776,plain,
% 12.57/8.90 (^[X: $i] : rewrite(((node240(X) | xuntil242(X)) | (~until241(X))) <=> (node240(X) | (~until241(X)) | xuntil242(X)))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13777,plain,
% 12.57/8.90 (![X: $i] : ((node240(X) | xuntil242(X)) | (~until241(X))) <=> ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13776])).
% 12.57/8.90 tff(13778,axiom,(![X: $i] : ((node240(X) | xuntil242(X)) | (~until241(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty144')).
% 12.57/8.90 tff(13779,plain,
% 12.57/8.90 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 12.57/8.90 tff(13780,plain,
% 12.57/8.90 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13779, 13775])).
% 12.57/8.90 tff(13781,plain,(
% 12.57/8.90 ![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13780])).
% 12.57/8.90 tff(13782,plain,
% 12.57/8.90 (![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13781, 13774])).
% 12.57/8.90 tff(13783,plain,
% 12.57/8.90 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s9) | node240(s9) | (~until241(s9)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13784,plain,
% 12.57/8.90 ((node240(s9) | (~until241(s9)) | xuntil242(s9)) <=> (xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13785,plain,
% 12.57/8.90 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s9) | node240(s9) | (~until241(s9))))),
% 12.57/8.90 inference(monotonicity,[status(thm)],[13784])).
% 12.57/8.90 tff(13786,plain,
% 12.57/8.90 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9)))),
% 12.57/8.90 inference(transitivity,[status(thm)],[13785, 13783])).
% 12.57/8.90 tff(13787,plain,
% 12.57/8.90 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s9) | (~until241(s9)) | xuntil242(s9))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13788,plain,
% 12.57/8.90 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s9) | node240(s9) | (~until241(s9))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 12.57/8.90 tff(13789,plain,
% 12.57/8.90 (node240(s9) | (~until241(s9))),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13788, 13782, 13772])).
% 12.57/8.90 tff(13790,plain,
% 12.57/8.90 (~until241(s9)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13789, 13757])).
% 12.57/8.90 tff(13791,plain,
% 12.57/8.90 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13792,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13791])).
% 12.57/8.90 tff(13793,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13794,plain,
% 12.57/8.90 (^[Y: $i, X: $i] : rewrite(((until241(Y) | (~succ(X, Y))) | (~xuntil242(X))) <=> ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y)))),
% 12.57/8.90 inference(bind,[status(th)],[])).
% 12.57/8.90 tff(13795,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((until241(Y) | (~succ(X, Y))) | (~xuntil242(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(quant_intro,[status(thm)],[13794])).
% 12.57/8.90 tff(13796,axiom,(![Y: $i, X: $i] : ((until241(Y) | (~succ(X, Y))) | (~xuntil242(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty145')).
% 12.57/8.90 tff(13797,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13796, 13795])).
% 12.57/8.90 tff(13798,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13797, 13793])).
% 12.57/8.90 tff(13799,plain,(
% 12.57/8.90 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(skolemize,[status(sab)],[13798])).
% 12.57/8.90 tff(13800,plain,
% 12.57/8.90 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13799, 13792])).
% 12.57/8.90 tff(13801,plain,
% 12.57/8.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))),
% 12.57/8.90 inference(rewrite,[status(thm)],[])).
% 12.57/8.90 tff(13802,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9))),
% 12.57/8.90 inference(quant_inst,[status(thm)],[])).
% 12.57/8.90 tff(13803,plain,
% 12.57/8.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s8, s9)) | (~xuntil242(s8)) | until241(s9)),
% 12.57/8.90 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 12.57/8.90 tff(13804,plain,
% 12.57/8.90 ((~xuntil242(s8)) | until241(s9)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13803, 4958, 13800])).
% 12.57/8.90 tff(13805,plain,
% 12.57/8.90 (~xuntil242(s8)),
% 12.57/8.90 inference(unit_resolution,[status(thm)],[13804, 13790])).
% 12.57/8.91 tff(13806,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s8) | node240(s8) | (~until241(s8)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13807,plain,
% 12.57/8.91 ((node240(s8) | (~until241(s8)) | xuntil242(s8)) <=> (xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13808,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s8) | node240(s8) | (~until241(s8))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13807])).
% 12.57/8.91 tff(13809,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13808, 13806])).
% 12.57/8.91 tff(13810,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s8) | (~until241(s8)) | xuntil242(s8))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13811,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s8) | node240(s8) | (~until241(s8))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 12.57/8.91 tff(13812,plain,
% 12.57/8.91 (node240(s8) | (~until241(s8))),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13811, 13782, 13805])).
% 12.57/8.91 tff(13813,plain,
% 12.57/8.91 (~until241(s8)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13812, 13748])).
% 12.57/8.91 tff(13814,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13815,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13816,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s7, s8)) | (~xuntil242(s7)) | until241(s8)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13815, 13814])).
% 12.57/8.91 tff(13817,plain,
% 12.57/8.91 ((~xuntil242(s7)) | until241(s8)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13816, 4826, 13800])).
% 12.57/8.91 tff(13818,plain,
% 12.57/8.91 (~xuntil242(s7)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13817, 13813])).
% 12.57/8.91 tff(13819,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s7) | node240(s7) | (~until241(s7)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13820,plain,
% 12.57/8.91 ((node240(s7) | (~until241(s7)) | xuntil242(s7)) <=> (xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13821,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s7) | node240(s7) | (~until241(s7))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13820])).
% 12.57/8.91 tff(13822,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13821, 13819])).
% 12.57/8.91 tff(13823,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s7) | (~until241(s7)) | xuntil242(s7))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13824,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s7) | node240(s7) | (~until241(s7))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 12.57/8.91 tff(13825,plain,
% 12.57/8.91 (node240(s7) | (~until241(s7))),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13824, 13782, 13818])).
% 12.57/8.91 tff(13826,plain,
% 12.57/8.91 (~until241(s7)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13825, 13739])).
% 12.57/8.91 tff(13827,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13828,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13829,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s6, s7)) | (~xuntil242(s6)) | until241(s7)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 12.57/8.91 tff(13830,plain,
% 12.57/8.91 ((~xuntil242(s6)) | until241(s7)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13829, 2091, 13800])).
% 12.57/8.91 tff(13831,plain,
% 12.57/8.91 (~xuntil242(s6)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13830, 13826])).
% 12.57/8.91 tff(13832,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s6) | node240(s6) | (~until241(s6)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13833,plain,
% 12.57/8.91 ((node240(s6) | (~until241(s6)) | xuntil242(s6)) <=> (xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13834,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s6) | node240(s6) | (~until241(s6))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13833])).
% 12.57/8.91 tff(13835,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13834, 13832])).
% 12.57/8.91 tff(13836,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s6) | (~until241(s6)) | xuntil242(s6))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13837,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s6) | node240(s6) | (~until241(s6))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 12.57/8.91 tff(13838,plain,
% 12.57/8.91 (node240(s6) | (~until241(s6))),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13837, 13782, 13831])).
% 12.57/8.91 tff(13839,plain,
% 12.57/8.91 (~until241(s6)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13838, 13730])).
% 12.57/8.91 tff(13840,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13841,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13842,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s5, s6)) | (~xuntil242(s5)) | until241(s6)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13841, 13840])).
% 12.57/8.91 tff(13843,plain,
% 12.57/8.91 ((~xuntil242(s5)) | until241(s6)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13842, 10, 13800])).
% 12.57/8.91 tff(13844,plain,
% 12.57/8.91 (~xuntil242(s5)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13843, 13839])).
% 12.57/8.91 tff(13845,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s5) | node240(s5) | (~until241(s5)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13846,plain,
% 12.57/8.91 ((node240(s5) | (~until241(s5)) | xuntil242(s5)) <=> (xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13847,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s5) | node240(s5) | (~until241(s5))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13846])).
% 12.57/8.91 tff(13848,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13847, 13845])).
% 12.57/8.91 tff(13849,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s5) | (~until241(s5)) | xuntil242(s5))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13850,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s5) | node240(s5) | (~until241(s5))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 12.57/8.91 tff(13851,plain,
% 12.57/8.91 (node240(s5) | (~until241(s5))),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13850, 13782, 13844])).
% 12.57/8.91 tff(13852,plain,
% 12.57/8.91 (~until241(s5)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13851, 13721])).
% 12.57/8.91 tff(13853,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13854,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13855,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s4, s5)) | (~xuntil242(s4)) | until241(s5)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 12.57/8.91 tff(13856,plain,
% 12.57/8.91 ((~xuntil242(s4)) | until241(s5)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13855, 1039, 13800])).
% 12.57/8.91 tff(13857,plain,
% 12.57/8.91 (~xuntil242(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13856, 13852])).
% 12.57/8.91 tff(13858,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s4) | node240(s4) | (~until241(s4)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13859,plain,
% 12.57/8.91 ((node240(s4) | (~until241(s4)) | xuntil242(s4)) <=> (xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13860,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s4) | node240(s4) | (~until241(s4))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13859])).
% 12.57/8.91 tff(13861,plain,
% 12.57/8.91 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13860, 13858])).
% 12.57/8.91 tff(13862,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s4) | (~until241(s4)) | xuntil242(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13863,plain,
% 12.57/8.91 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s4) | node240(s4) | (~until241(s4))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13862, 13861])).
% 12.57/8.91 tff(13864,plain,
% 12.57/8.91 (~until241(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13863, 13782, 13857, 13712])).
% 12.57/8.91 tff(13865,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13866,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13867,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s3, s4)) | (~xuntil242(s3)) | until241(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 12.57/8.91 tff(13868,plain,
% 12.57/8.91 ((~xuntil242(s3)) | until241(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13867, 907, 13800])).
% 12.57/8.91 tff(13869,plain,
% 12.57/8.91 (~xuntil242(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13868, 13864])).
% 12.57/8.91 tff(13870,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13871,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13872,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s3, s4)) | (~xuntil237(s3)) | until236(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 12.57/8.91 tff(13873,plain,
% 12.57/8.91 ((~xuntil237(s3)) | until236(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13872, 907, 13452])).
% 12.57/8.91 tff(13874,plain,
% 12.57/8.91 (~xuntil237(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13873, 13633])).
% 12.57/8.91 tff(13875,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13876,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13877,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s3, s4)) | (~xuntil232(s3)) | until231(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 12.57/8.91 tff(13878,plain,
% 12.57/8.91 ((~xuntil232(s3)) | until231(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13877, 907, 13158])).
% 12.57/8.91 tff(13879,plain,
% 12.57/8.91 (~xuntil232(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13878, 13611])).
% 12.57/8.91 tff(13880,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13881,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13882,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s3, s4)) | (~xuntil227(s3)) | until226(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 12.57/8.91 tff(13883,plain,
% 12.57/8.91 ((~xuntil227(s3)) | until226(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13882, 907, 12918])).
% 12.57/8.91 tff(13884,plain,
% 12.57/8.91 (~xuntil227(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13883, 13589])).
% 12.57/8.91 tff(13885,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13886,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13887,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s3, s4)) | (~xuntil222(s3)) | until221(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 12.57/8.91 tff(13888,plain,
% 12.57/8.91 ((~xuntil222(s3)) | until221(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13887, 907, 12732])).
% 12.57/8.91 tff(13889,plain,
% 12.57/8.91 (~xuntil222(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13888, 13567])).
% 12.57/8.91 tff(13890,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13891,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13892,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s3, s4)) | (~xuntil217(s3)) | until216(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 12.57/8.91 tff(13893,plain,
% 12.57/8.91 ((~xuntil217(s3)) | until216(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13892, 907, 12655])).
% 12.57/8.91 tff(13894,plain,
% 12.57/8.91 (~xuntil217(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13893, 13545])).
% 12.57/8.91 tff(13895,plain,
% 12.57/8.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s3, s4)) | (~always214(s3)) | always214(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s3, s4)) | (~always214(s3)) | always214(s4))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13896,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s3, s4)) | (~always214(s3)) | always214(s4))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13897,plain,
% 12.57/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s3, s4)) | (~always214(s3)) | always214(s4)),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 12.57/8.91 tff(13898,plain,
% 12.57/8.91 ((~always214(s3)) | always214(s4)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13897, 12589, 911])).
% 12.57/8.91 tff(13899,plain,
% 12.57/8.91 (~always214(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13898, 13533])).
% 12.57/8.91 tff(13900,plain,
% 12.57/8.91 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s3) | (~node215(s3)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s3) | (~node215(s3)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13901,plain,
% 12.57/8.91 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s3) | (~node215(s3)))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13902,plain,
% 12.57/8.91 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s3) | (~node215(s3))),
% 12.57/8.91 inference(modus_ponens,[status(thm)],[13901, 13900])).
% 12.57/8.91 tff(13903,plain,
% 12.57/8.91 (~node215(s3)),
% 12.57/8.91 inference(unit_resolution,[status(thm)],[13902, 12604, 13899])).
% 12.57/8.91 tff(13904,plain,
% 12.57/8.91 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s3) | node215(s3) | (~until216(s3)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13905,plain,
% 12.57/8.91 ((node215(s3) | (~until216(s3)) | xuntil217(s3)) <=> (xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.57/8.91 inference(rewrite,[status(thm)],[])).
% 12.57/8.91 tff(13906,plain,
% 12.57/8.91 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s3) | node215(s3) | (~until216(s3))))),
% 12.57/8.91 inference(monotonicity,[status(thm)],[13905])).
% 12.57/8.91 tff(13907,plain,
% 12.57/8.91 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3)))),
% 12.57/8.91 inference(transitivity,[status(thm)],[13906, 13904])).
% 12.57/8.91 tff(13908,plain,
% 12.57/8.91 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s3) | (~until216(s3)) | xuntil217(s3))),
% 12.57/8.91 inference(quant_inst,[status(thm)],[])).
% 12.57/8.91 tff(13909,plain,
% 12.57/8.91 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s3) | node215(s3) | (~until216(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 12.66/8.91 tff(13910,plain,
% 12.66/8.91 (xuntil217(s3) | (~until216(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13909, 12637, 13903])).
% 12.66/8.91 tff(13911,plain,
% 12.66/8.91 (~until216(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13910, 13894])).
% 12.66/8.91 tff(13912,plain,
% 12.66/8.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s3, s4)) | always212(s4) | (~always212(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s3, s4)) | always212(s4) | (~always212(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13913,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s3, s4)) | always212(s4) | (~always212(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13914,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s3, s4)) | always212(s4) | (~always212(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13913, 13912])).
% 12.66/8.91 tff(13915,plain,
% 12.66/8.91 (always212(s4) | (~always212(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13914, 12545, 911])).
% 12.66/8.91 tff(13916,plain,
% 12.66/8.91 (~always212(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13915, 13550])).
% 12.66/8.91 tff(13917,plain,
% 12.66/8.91 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s3) | (~node213(s3)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s3) | (~node213(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13918,plain,
% 12.66/8.91 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s3) | (~node213(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13919,plain,
% 12.66/8.91 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s3) | (~node213(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 12.66/8.91 tff(13920,plain,
% 12.66/8.91 (~node213(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13919, 12560, 13916])).
% 12.66/8.91 tff(13921,plain,
% 12.66/8.91 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s3) | until216(s3) | (~node220(s3)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s3) | until216(s3) | (~node220(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13922,plain,
% 12.66/8.91 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s3) | until216(s3) | (~node220(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13923,plain,
% 12.66/8.91 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s3) | until216(s3) | (~node220(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 12.66/8.91 tff(13924,plain,
% 12.66/8.91 (until216(s3) | (~node220(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13923, 12677, 13920])).
% 12.66/8.91 tff(13925,plain,
% 12.66/8.91 (~node220(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13924, 13911])).
% 12.66/8.91 tff(13926,plain,
% 12.66/8.91 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s3) | node220(s3) | (~until221(s3)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13927,plain,
% 12.66/8.91 ((node220(s3) | (~until221(s3)) | xuntil222(s3)) <=> (xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13928,plain,
% 12.66/8.91 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s3) | node220(s3) | (~until221(s3))))),
% 12.66/8.91 inference(monotonicity,[status(thm)],[13927])).
% 12.66/8.91 tff(13929,plain,
% 12.66/8.91 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3)))),
% 12.66/8.91 inference(transitivity,[status(thm)],[13928, 13926])).
% 12.66/8.91 tff(13930,plain,
% 12.66/8.91 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s3) | (~until221(s3)) | xuntil222(s3))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13931,plain,
% 12.66/8.91 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s3) | node220(s3) | (~until221(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 12.66/8.91 tff(13932,plain,
% 12.66/8.91 (xuntil222(s3) | (~until221(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13931, 12714, 13925])).
% 12.66/8.91 tff(13933,plain,
% 12.66/8.91 (~until221(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13932, 13889])).
% 12.66/8.91 tff(13934,plain,
% 12.66/8.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s3, s4)) | always210(s4) | (~always210(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s3, s4)) | always210(s4) | (~always210(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13935,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s3, s4)) | always210(s4) | (~always210(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13936,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s3, s4)) | always210(s4) | (~always210(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 12.66/8.91 tff(13937,plain,
% 12.66/8.91 (always210(s4) | (~always210(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13936, 12818, 911])).
% 12.66/8.91 tff(13938,plain,
% 12.66/8.91 (~always210(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13937, 13572])).
% 12.66/8.91 tff(13939,plain,
% 12.66/8.91 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s3) | (~node211(s3)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s3) | (~node211(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13940,plain,
% 12.66/8.91 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s3) | (~node211(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13941,plain,
% 12.66/8.91 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s3) | (~node211(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13940, 13939])).
% 12.66/8.91 tff(13942,plain,
% 12.66/8.91 (~node211(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13941, 12838, 13938])).
% 12.66/8.91 tff(13943,plain,
% 12.66/8.91 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s3) | until221(s3) | (~node225(s3)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s3) | until221(s3) | (~node225(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13944,plain,
% 12.66/8.91 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s3) | until221(s3) | (~node225(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13945,plain,
% 12.66/8.91 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s3) | until221(s3) | (~node225(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 12.66/8.91 tff(13946,plain,
% 12.66/8.91 (until221(s3) | (~node225(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13945, 12852, 13942])).
% 12.66/8.91 tff(13947,plain,
% 12.66/8.91 (~node225(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13946, 13933])).
% 12.66/8.91 tff(13948,plain,
% 12.66/8.91 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s3) | node225(s3) | (~until226(s3)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13949,plain,
% 12.66/8.91 ((node225(s3) | (~until226(s3)) | xuntil227(s3)) <=> (xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13950,plain,
% 12.66/8.91 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s3) | node225(s3) | (~until226(s3))))),
% 12.66/8.91 inference(monotonicity,[status(thm)],[13949])).
% 12.66/8.91 tff(13951,plain,
% 12.66/8.91 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3)))),
% 12.66/8.91 inference(transitivity,[status(thm)],[13950, 13948])).
% 12.66/8.91 tff(13952,plain,
% 12.66/8.91 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s3) | (~until226(s3)) | xuntil227(s3))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13953,plain,
% 12.66/8.91 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s3) | node225(s3) | (~until226(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 12.66/8.91 tff(13954,plain,
% 12.66/8.91 (xuntil227(s3) | (~until226(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13953, 12900, 13947])).
% 12.66/8.91 tff(13955,plain,
% 12.66/8.91 (~until226(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13954, 13884])).
% 12.66/8.91 tff(13956,plain,
% 12.66/8.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s3, s4)) | (~always208(s3)) | always208(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s3, s4)) | (~always208(s3)) | always208(s4))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13957,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s3, s4)) | (~always208(s3)) | always208(s4))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13958,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s3, s4)) | (~always208(s3)) | always208(s4)),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 12.66/8.91 tff(13959,plain,
% 12.66/8.91 ((~always208(s3)) | always208(s4)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13958, 13044, 911])).
% 12.66/8.91 tff(13960,plain,
% 12.66/8.91 (~always208(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13959, 13594])).
% 12.66/8.91 tff(13961,plain,
% 12.66/8.91 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s3) | (~node209(s3)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s3) | (~node209(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13962,plain,
% 12.66/8.91 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s3) | (~node209(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13963,plain,
% 12.66/8.91 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s3) | (~node209(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13962, 13961])).
% 12.66/8.91 tff(13964,plain,
% 12.66/8.91 (~node209(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13963, 13069, 13960])).
% 12.66/8.91 tff(13965,plain,
% 12.66/8.91 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s3) | until226(s3) | (~node230(s3)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s3) | until226(s3) | (~node230(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13966,plain,
% 12.66/8.91 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s3) | until226(s3) | (~node230(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13967,plain,
% 12.66/8.91 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s3) | until226(s3) | (~node230(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 12.66/8.91 tff(13968,plain,
% 12.66/8.91 (until226(s3) | (~node230(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13967, 13083, 13964])).
% 12.66/8.91 tff(13969,plain,
% 12.66/8.91 (~node230(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13968, 13955])).
% 12.66/8.91 tff(13970,plain,
% 12.66/8.91 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s3) | node230(s3) | (~until231(s3)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13971,plain,
% 12.66/8.91 ((node230(s3) | (~until231(s3)) | xuntil232(s3)) <=> (xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13972,plain,
% 12.66/8.91 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s3) | (~until231(s3)) | xuntil232(s3))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s3) | node230(s3) | (~until231(s3))))),
% 12.66/8.91 inference(monotonicity,[status(thm)],[13971])).
% 12.66/8.91 tff(13973,plain,
% 12.66/8.91 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s3) | (~until231(s3)) | xuntil232(s3))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3)))),
% 12.66/8.91 inference(transitivity,[status(thm)],[13972, 13970])).
% 12.66/8.91 tff(13974,plain,
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% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13975,plain,
% 12.66/8.91 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s3) | node230(s3) | (~until231(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 12.66/8.91 tff(13976,plain,
% 12.66/8.91 (xuntil232(s3) | (~until231(s3))),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13975, 13140, 13969])).
% 12.66/8.91 tff(13977,plain,
% 12.66/8.91 (~until231(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13976, 13879])).
% 12.66/8.91 tff(13978,plain,
% 12.66/8.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s3, s4)) | (~always206(s3)) | always206(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s3, s4)) | (~always206(s3)) | always206(s4))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13979,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s3, s4)) | (~always206(s3)) | always206(s4))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13980,plain,
% 12.66/8.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s3, s4)) | (~always206(s3)) | always206(s4)),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13979, 13978])).
% 12.66/8.91 tff(13981,plain,
% 12.66/8.91 ((~always206(s3)) | always206(s4)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13980, 13324, 911])).
% 12.66/8.91 tff(13982,plain,
% 12.66/8.91 (~always206(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13981, 13616])).
% 12.66/8.91 tff(13983,plain,
% 12.66/8.91 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s3) | (~node207(s3)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s3) | (~node207(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13984,plain,
% 12.66/8.91 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s3) | (~node207(s3)))),
% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13985,plain,
% 12.66/8.91 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s3) | (~node207(s3))),
% 12.66/8.91 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 12.66/8.91 tff(13986,plain,
% 12.66/8.91 (~node207(s3)),
% 12.66/8.91 inference(unit_resolution,[status(thm)],[13985, 13354, 13982])).
% 12.66/8.91 tff(13987,plain,
% 12.66/8.91 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s3) | until231(s3) | (~node235(s3)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s3) | until231(s3) | (~node235(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13988,plain,
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% 12.66/8.91 inference(quant_inst,[status(thm)],[])).
% 12.66/8.91 tff(13989,plain,
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% 12.66/8.91 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 12.66/8.91 tff(13990,plain,
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% 12.66/8.91 inference(unit_resolution,[status(thm)],[13989, 13368, 13986])).
% 12.66/8.91 tff(13991,plain,
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% 12.66/8.91 inference(unit_resolution,[status(thm)],[13990, 13977])).
% 12.66/8.91 tff(13992,plain,
% 12.66/8.91 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s3) | node235(s3) | (~until236(s3)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s3) | node235(s3) | (~until236(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
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% 12.66/8.91 ((node235(s3) | (~until236(s3)) | xuntil237(s3)) <=> (xuntil237(s3) | node235(s3) | (~until236(s3)))),
% 12.66/8.91 inference(rewrite,[status(thm)],[])).
% 12.66/8.91 tff(13994,plain,
% 12.66/8.91 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s3) | (~until236(s3)) | xuntil237(s3))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s3) | node235(s3) | (~until236(s3))))),
% 12.66/8.91 inference(monotonicity,[status(thm)],[13993])).
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% 12.66/8.91 inference(transitivity,[status(thm)],[13994, 13992])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(13997,plain,
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[13996, 13995])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[13997, 13434, 13991])).
% 12.66/8.92 tff(13999,plain,
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[13998, 13874])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s3, s4)) | always204(s4) | (~always204(s3)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14002,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s3, s4)) | always204(s4) | (~always204(s3))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14001, 14000])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14002, 13658, 911])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14003, 13686])).
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% 12.66/8.92 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s3) | (~node205(s3)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s3) | (~node205(s3)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14007,plain,
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14006, 14005])).
% 12.66/8.92 tff(14008,plain,
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14007, 13693, 14004])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 12.66/8.92 tff(14012,plain,
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14011, 13707, 14008])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14012, 13999])).
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% 12.66/8.92 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s3) | node240(s3) | (~until241(s3)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s3) | node240(s3) | (~until241(s3)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 ((node240(s3) | (~until241(s3)) | xuntil242(s3)) <=> (xuntil242(s3) | node240(s3) | (~until241(s3)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(transitivity,[status(thm)],[14016, 14014])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14018, 14017])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14019, 13782, 14013])).
% 12.66/8.92 tff(14021,plain,
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14020, 13869])).
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% 12.66/8.92 tff(14027,axiom,(![X: $i] : ((loop | (~always202(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty57')).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_intro,[status(thm)],[14040])).
% 12.66/8.92 tff(14042,axiom,(![Y: $i, X: $i] : ((always202(Y) | (~trans(X, Y))) | (~always202(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty56')).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(monotonicity,[status(thm)],[14048])).
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% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s8, s9)) | always202(s9) | (~always202(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | always202(s9) | (~trans(s8, s9)) | (~always202(s8)))),
% 12.66/8.92 inference(transitivity,[status(thm)],[14049, 14047])).
% 12.66/8.92 tff(14051,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s8, s9)) | always202(s9) | (~always202(s8)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14052,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | always202(s9) | (~trans(s8, s9)) | (~always202(s8))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 12.66/8.92 tff(14053,plain,
% 12.66/8.92 (always202(s9) | (~always202(s8))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14052, 14046, 4962])).
% 12.66/8.92 tff(14054,plain,
% 12.66/8.92 (~always202(s8)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14053, 14036])).
% 12.66/8.92 tff(14055,plain,
% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s7, s8)) | always202(s8) | (~always202(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s7, s8)) | always202(s8) | (~always202(s7)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14056,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s7, s8)) | always202(s8) | (~always202(s7)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14057,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s7, s8)) | always202(s8) | (~always202(s7))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14056, 14055])).
% 12.66/8.92 tff(14058,plain,
% 12.66/8.92 (always202(s8) | (~always202(s7))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14057, 14046, 4830])).
% 12.66/8.92 tff(14059,plain,
% 12.66/8.92 (~always202(s7)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14058, 14054])).
% 12.66/8.92 tff(14060,plain,
% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s6, s7)) | always202(s7) | (~always202(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s6, s7)) | always202(s7) | (~always202(s6)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14061,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s6, s7)) | always202(s7) | (~always202(s6)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14062,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s6, s7)) | always202(s7) | (~always202(s6))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 12.66/8.92 tff(14063,plain,
% 12.66/8.92 (always202(s7) | (~always202(s6))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14062, 14046, 2095])).
% 12.66/8.92 tff(14064,plain,
% 12.66/8.92 (~always202(s6)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14063, 14059])).
% 12.66/8.92 tff(14065,plain,
% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s5, s6)) | always202(s6) | (~always202(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s5, s6)) | always202(s6) | (~always202(s5)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14066,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s5, s6)) | always202(s6) | (~always202(s5)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14067,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s5, s6)) | always202(s6) | (~always202(s5))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14066, 14065])).
% 12.66/8.92 tff(14068,plain,
% 12.66/8.92 (always202(s6) | (~always202(s5))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14067, 14046, 14])).
% 12.66/8.92 tff(14069,plain,
% 12.66/8.92 (~always202(s5)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14068, 14064])).
% 12.66/8.92 tff(14070,plain,
% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s4, s5)) | always202(s5) | (~always202(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s4, s5)) | always202(s5) | (~always202(s4)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14071,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s4, s5)) | always202(s5) | (~always202(s4)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14072,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s4, s5)) | always202(s5) | (~always202(s4))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14071, 14070])).
% 12.66/8.92 tff(14073,plain,
% 12.66/8.92 (always202(s5) | (~always202(s4))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14072, 14046, 1043])).
% 12.66/8.92 tff(14074,plain,
% 12.66/8.92 (~always202(s4)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14073, 14069])).
% 12.66/8.92 tff(14075,plain,
% 12.66/8.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s3, s4)) | always202(s4) | (~always202(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s3, s4)) | always202(s4) | (~always202(s3)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14076,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s3, s4)) | always202(s4) | (~always202(s3)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14077,plain,
% 12.66/8.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s3, s4)) | always202(s4) | (~always202(s3))),
% 12.66/8.92 inference(modus_ponens,[status(thm)],[14076, 14075])).
% 12.66/8.92 tff(14078,plain,
% 12.66/8.92 (always202(s4) | (~always202(s3))),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14077, 14046, 911])).
% 12.66/8.92 tff(14079,plain,
% 12.66/8.92 (~always202(s3)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14078, 14074])).
% 12.66/8.92 tff(14080,plain,
% 12.66/8.92 (^[X: $i] : refl((always202(X) | (~node203(X))) <=> (always202(X) | (~node203(X))))),
% 12.66/8.92 inference(bind,[status(th)],[])).
% 12.66/8.92 tff(14081,plain,
% 12.66/8.92 (![X: $i] : (always202(X) | (~node203(X))) <=> ![X: $i] : (always202(X) | (~node203(X)))),
% 12.66/8.92 inference(quant_intro,[status(thm)],[14080])).
% 12.66/8.92 tff(14082,plain,
% 12.66/8.92 (![X: $i] : (always202(X) | (~node203(X))) <=> ![X: $i] : (always202(X) | (~node203(X)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14083,axiom,(![X: $i] : (always202(X) | (~node203(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty60')).
% 12.66/8.92 tff(14084,plain,
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 12.66/8.92 tff(14085,plain,(
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% 12.66/8.92 inference(skolemize,[status(sab)],[14084])).
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14085, 14081])).
% 12.66/8.92 tff(14087,plain,
% 12.66/8.92 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s3) | (~node203(s3)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s3) | (~node203(s3)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14088,plain,
% 12.66/8.92 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s3) | (~node203(s3)))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.92 tff(14089,plain,
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 12.66/8.92 tff(14090,plain,
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14089, 14086, 14079])).
% 12.66/8.92 tff(14091,plain,
% 12.66/8.92 (^[X: $i] : refl((node203(X) | until241(X) | (~node245(X))) <=> (node203(X) | until241(X) | (~node245(X))))),
% 12.66/8.92 inference(bind,[status(th)],[])).
% 12.66/8.92 tff(14092,plain,
% 12.66/8.92 (![X: $i] : (node203(X) | until241(X) | (~node245(X))) <=> ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.66/8.92 inference(quant_intro,[status(thm)],[14091])).
% 12.66/8.92 tff(14093,plain,
% 12.66/8.92 (![X: $i] : (node203(X) | until241(X) | (~node245(X))) <=> ![X: $i] : (node203(X) | until241(X) | (~node245(X)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(bind,[status(th)],[])).
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% 12.66/8.92 inference(quant_intro,[status(thm)],[14094])).
% 12.66/8.92 tff(14096,axiom,(![X: $i] : ((node203(X) | until241(X)) | (~node245(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty151')).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(modus_ponens,[status(thm)],[14102, 14101])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14103, 14100, 14090])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14108, 14086, 14074])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(unit_resolution,[status(thm)],[14148, 14100, 14145])).
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% 12.66/8.92 inference(rewrite,[status(thm)],[])).
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% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.92 inference(quant_intro,[status(thm)],[14163])).
% 12.66/8.92 tff(14165,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil247(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty154')).
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% 12.66/8.92 tff(14180,axiom,(![X: $i] : ((node245(X) | xuntil247(X)) | (~until246(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty152')).
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% 12.66/8.92 (~xuntil247(s8)),
% 12.66/8.92 inference(unit_resolution,[status(thm)],[14206, 14192])).
% 12.66/8.92 tff(14208,plain,
% 12.66/8.92 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s8) | node245(s8) | (~until246(s8)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14209,plain,
% 12.66/8.92 ((node245(s8) | (~until246(s8)) | xuntil247(s8)) <=> (xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.66/8.92 inference(rewrite,[status(thm)],[])).
% 12.66/8.92 tff(14210,plain,
% 12.66/8.92 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s8) | node245(s8) | (~until246(s8))))),
% 12.66/8.92 inference(monotonicity,[status(thm)],[14209])).
% 12.66/8.92 tff(14211,plain,
% 12.66/8.92 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8)))),
% 12.66/8.92 inference(transitivity,[status(thm)],[14210, 14208])).
% 12.66/8.92 tff(14212,plain,
% 12.66/8.92 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s8) | (~until246(s8)) | xuntil247(s8))),
% 12.66/8.92 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14213,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s8) | node245(s8) | (~until246(s8))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14212, 14211])).
% 12.66/8.93 tff(14214,plain,
% 12.66/8.93 (node245(s8) | (~until246(s8))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14213, 14184, 14207])).
% 12.66/8.93 tff(14215,plain,
% 12.66/8.93 (~until246(s8)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14214, 14150])).
% 12.66/8.93 tff(14216,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14217,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14218,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s7, s8)) | (~xuntil247(s7)) | until246(s8)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 12.66/8.93 tff(14219,plain,
% 12.66/8.93 ((~xuntil247(s7)) | until246(s8)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14218, 4826, 14202])).
% 12.66/8.93 tff(14220,plain,
% 12.66/8.93 (~xuntil247(s7)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14219, 14215])).
% 12.66/8.93 tff(14221,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s7) | node245(s7) | (~until246(s7)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14222,plain,
% 12.66/8.93 ((node245(s7) | (~until246(s7)) | xuntil247(s7)) <=> (xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14223,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s7) | node245(s7) | (~until246(s7))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14222])).
% 12.66/8.93 tff(14224,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14223, 14221])).
% 12.66/8.93 tff(14225,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s7) | (~until246(s7)) | xuntil247(s7))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14226,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s7) | node245(s7) | (~until246(s7))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 12.66/8.93 tff(14227,plain,
% 12.66/8.93 (node245(s7) | (~until246(s7))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14226, 14184, 14220])).
% 12.66/8.93 tff(14228,plain,
% 12.66/8.93 (~until246(s7)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14227, 14141])).
% 12.66/8.93 tff(14229,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14230,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14231,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s6, s7)) | (~xuntil247(s6)) | until246(s7)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 12.66/8.93 tff(14232,plain,
% 12.66/8.93 ((~xuntil247(s6)) | until246(s7)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14231, 2091, 14202])).
% 12.66/8.93 tff(14233,plain,
% 12.66/8.93 (~xuntil247(s6)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14232, 14228])).
% 12.66/8.93 tff(14234,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s6) | node245(s6) | (~until246(s6)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14235,plain,
% 12.66/8.93 ((node245(s6) | (~until246(s6)) | xuntil247(s6)) <=> (xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14236,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s6) | node245(s6) | (~until246(s6))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14235])).
% 12.66/8.93 tff(14237,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14236, 14234])).
% 12.66/8.93 tff(14238,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s6) | (~until246(s6)) | xuntil247(s6))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14239,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s6) | node245(s6) | (~until246(s6))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14238, 14237])).
% 12.66/8.93 tff(14240,plain,
% 12.66/8.93 (node245(s6) | (~until246(s6))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14239, 14184, 14233])).
% 12.66/8.93 tff(14241,plain,
% 12.66/8.93 (~until246(s6)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14240, 14132])).
% 12.66/8.93 tff(14242,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14243,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14244,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s5, s6)) | (~xuntil247(s5)) | until246(s6)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 12.66/8.93 tff(14245,plain,
% 12.66/8.93 ((~xuntil247(s5)) | until246(s6)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14244, 10, 14202])).
% 12.66/8.93 tff(14246,plain,
% 12.66/8.93 (~xuntil247(s5)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14245, 14241])).
% 12.66/8.93 tff(14247,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s5) | node245(s5) | (~until246(s5)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14248,plain,
% 12.66/8.93 ((node245(s5) | (~until246(s5)) | xuntil247(s5)) <=> (xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14249,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s5) | node245(s5) | (~until246(s5))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14248])).
% 12.66/8.93 tff(14250,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14249, 14247])).
% 12.66/8.93 tff(14251,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s5) | (~until246(s5)) | xuntil247(s5))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14252,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s5) | node245(s5) | (~until246(s5))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14251, 14250])).
% 12.66/8.93 tff(14253,plain,
% 12.66/8.93 (node245(s5) | (~until246(s5))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14252, 14184, 14246])).
% 12.66/8.93 tff(14254,plain,
% 12.66/8.93 (~until246(s5)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14253, 14123])).
% 12.66/8.93 tff(14255,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14256,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14257,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s4, s5)) | (~xuntil247(s4)) | until246(s5)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 12.66/8.93 tff(14258,plain,
% 12.66/8.93 ((~xuntil247(s4)) | until246(s5)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14257, 1039, 14202])).
% 12.66/8.93 tff(14259,plain,
% 12.66/8.93 (~xuntil247(s4)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14258, 14254])).
% 12.66/8.93 tff(14260,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s4) | node245(s4) | (~until246(s4)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14261,plain,
% 12.66/8.93 ((node245(s4) | (~until246(s4)) | xuntil247(s4)) <=> (xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14262,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s4) | node245(s4) | (~until246(s4))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14261])).
% 12.66/8.93 tff(14263,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14262, 14260])).
% 12.66/8.93 tff(14264,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s4) | (~until246(s4)) | xuntil247(s4))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14265,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s4) | node245(s4) | (~until246(s4))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 12.66/8.93 tff(14266,plain,
% 12.66/8.93 (node245(s4) | (~until246(s4))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14265, 14184, 14259])).
% 12.66/8.93 tff(14267,plain,
% 12.66/8.93 (~until246(s4)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14266, 14114])).
% 12.66/8.93 tff(14268,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14269,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14270,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s3, s4)) | (~xuntil247(s3)) | until246(s4)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 12.66/8.93 tff(14271,plain,
% 12.66/8.93 ((~xuntil247(s3)) | until246(s4)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14270, 907, 14202])).
% 12.66/8.93 tff(14272,plain,
% 12.66/8.93 (~xuntil247(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14271, 14267])).
% 12.66/8.93 tff(14273,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s3) | node245(s3) | (~until246(s3)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14274,plain,
% 12.66/8.93 ((node245(s3) | (~until246(s3)) | xuntil247(s3)) <=> (xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14275,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s3) | node245(s3) | (~until246(s3))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14274])).
% 12.66/8.93 tff(14276,plain,
% 12.66/8.93 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14275, 14273])).
% 12.66/8.93 tff(14277,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s3) | (~until246(s3)) | xuntil247(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14278,plain,
% 12.66/8.93 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s3) | node245(s3) | (~until246(s3))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 12.66/8.93 tff(14279,plain,
% 12.66/8.93 (~until246(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14278, 14184, 14272, 14105])).
% 12.66/8.93 tff(14280,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14281,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14282,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s2, s3)) | (~xuntil247(s2)) | until246(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14281, 14280])).
% 12.66/8.93 tff(14283,plain,
% 12.66/8.93 ((~xuntil247(s2)) | until246(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14282, 476, 14202])).
% 12.66/8.93 tff(14284,plain,
% 12.66/8.93 (~xuntil247(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14283, 14279])).
% 12.66/8.93 tff(14285,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14286,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14287,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s2, s3)) | (~xuntil242(s2)) | until241(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 12.66/8.93 tff(14288,plain,
% 12.66/8.93 ((~xuntil242(s2)) | until241(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14287, 476, 13800])).
% 12.66/8.93 tff(14289,plain,
% 12.66/8.93 (~xuntil242(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14288, 14021])).
% 12.66/8.93 tff(14290,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14291,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14292,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s2, s3)) | (~xuntil237(s2)) | until236(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14291, 14290])).
% 12.66/8.93 tff(14293,plain,
% 12.66/8.93 ((~xuntil237(s2)) | until236(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14292, 476, 13452])).
% 12.66/8.93 tff(14294,plain,
% 12.66/8.93 (~xuntil237(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14293, 13999])).
% 12.66/8.93 tff(14295,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14296,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14297,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s2, s3)) | (~xuntil232(s2)) | until231(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 12.66/8.93 tff(14298,plain,
% 12.66/8.93 ((~xuntil232(s2)) | until231(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14297, 476, 13158])).
% 12.66/8.93 tff(14299,plain,
% 12.66/8.93 (~xuntil232(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14298, 13977])).
% 12.66/8.93 tff(14300,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14301,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14302,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s2, s3)) | (~xuntil227(s2)) | until226(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14301, 14300])).
% 12.66/8.93 tff(14303,plain,
% 12.66/8.93 ((~xuntil227(s2)) | until226(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14302, 476, 12918])).
% 12.66/8.93 tff(14304,plain,
% 12.66/8.93 (~xuntil227(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14303, 13955])).
% 12.66/8.93 tff(14305,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14306,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14307,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s2, s3)) | (~xuntil222(s2)) | until221(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 12.66/8.93 tff(14308,plain,
% 12.66/8.93 ((~xuntil222(s2)) | until221(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14307, 476, 12732])).
% 12.66/8.93 tff(14309,plain,
% 12.66/8.93 (~xuntil222(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14308, 13933])).
% 12.66/8.93 tff(14310,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14311,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14312,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s2, s3)) | (~xuntil217(s2)) | until216(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 12.66/8.93 tff(14313,plain,
% 12.66/8.93 ((~xuntil217(s2)) | until216(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14312, 476, 12655])).
% 12.66/8.93 tff(14314,plain,
% 12.66/8.93 (~xuntil217(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14313, 13911])).
% 12.66/8.93 tff(14315,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s2, s3)) | (~always214(s2)) | always214(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s2, s3)) | (~always214(s2)) | always214(s3))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14316,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s2, s3)) | (~always214(s2)) | always214(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14317,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s2, s3)) | (~always214(s2)) | always214(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14316, 14315])).
% 12.66/8.93 tff(14318,plain,
% 12.66/8.93 ((~always214(s2)) | always214(s3)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14317, 12589, 480])).
% 12.66/8.93 tff(14319,plain,
% 12.66/8.93 (~always214(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14318, 13899])).
% 12.66/8.93 tff(14320,plain,
% 12.66/8.93 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s2) | (~node215(s2)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s2) | (~node215(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14321,plain,
% 12.66/8.93 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s2) | (~node215(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14322,plain,
% 12.66/8.93 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s2) | (~node215(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14321, 14320])).
% 12.66/8.93 tff(14323,plain,
% 12.66/8.93 (~node215(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14322, 12604, 14319])).
% 12.66/8.93 tff(14324,plain,
% 12.66/8.93 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s2) | node215(s2) | (~until216(s2)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14325,plain,
% 12.66/8.93 ((node215(s2) | (~until216(s2)) | xuntil217(s2)) <=> (xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14326,plain,
% 12.66/8.93 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s2) | node215(s2) | (~until216(s2))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14325])).
% 12.66/8.93 tff(14327,plain,
% 12.66/8.93 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14326, 14324])).
% 12.66/8.93 tff(14328,plain,
% 12.66/8.93 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s2) | (~until216(s2)) | xuntil217(s2))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14329,plain,
% 12.66/8.93 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s2) | node215(s2) | (~until216(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 12.66/8.93 tff(14330,plain,
% 12.66/8.93 (xuntil217(s2) | (~until216(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14329, 12637, 14323])).
% 12.66/8.93 tff(14331,plain,
% 12.66/8.93 (~until216(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14330, 14314])).
% 12.66/8.93 tff(14332,plain,
% 12.66/8.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s2, s3)) | always212(s3) | (~always212(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s2, s3)) | always212(s3) | (~always212(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14333,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s2, s3)) | always212(s3) | (~always212(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14334,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s2, s3)) | always212(s3) | (~always212(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14333, 14332])).
% 12.66/8.93 tff(14335,plain,
% 12.66/8.93 (always212(s3) | (~always212(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14334, 12545, 480])).
% 12.66/8.93 tff(14336,plain,
% 12.66/8.93 (~always212(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14335, 13916])).
% 12.66/8.93 tff(14337,plain,
% 12.66/8.93 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s2) | (~node213(s2)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s2) | (~node213(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14338,plain,
% 12.66/8.93 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s2) | (~node213(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14339,plain,
% 12.66/8.93 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s2) | (~node213(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 12.66/8.93 tff(14340,plain,
% 12.66/8.93 (~node213(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14339, 12560, 14336])).
% 12.66/8.93 tff(14341,plain,
% 12.66/8.93 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s2) | until216(s2) | (~node220(s2)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s2) | until216(s2) | (~node220(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14342,plain,
% 12.66/8.93 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s2) | until216(s2) | (~node220(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14343,plain,
% 12.66/8.93 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s2) | until216(s2) | (~node220(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 12.66/8.93 tff(14344,plain,
% 12.66/8.93 (until216(s2) | (~node220(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14343, 12677, 14340])).
% 12.66/8.93 tff(14345,plain,
% 12.66/8.93 (~node220(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14344, 14331])).
% 12.66/8.93 tff(14346,plain,
% 12.66/8.93 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s2) | node220(s2) | (~until221(s2)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14347,plain,
% 12.66/8.93 ((node220(s2) | (~until221(s2)) | xuntil222(s2)) <=> (xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14348,plain,
% 12.66/8.93 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s2) | (~until221(s2)) | xuntil222(s2))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s2) | node220(s2) | (~until221(s2))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14347])).
% 12.66/8.93 tff(14349,plain,
% 12.66/8.93 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s2) | (~until221(s2)) | xuntil222(s2))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14348, 14346])).
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% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14351,plain,
% 12.66/8.93 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s2) | node220(s2) | (~until221(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 12.66/8.93 tff(14352,plain,
% 12.66/8.93 (xuntil222(s2) | (~until221(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14351, 12714, 14345])).
% 12.66/8.93 tff(14353,plain,
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14352, 14309])).
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% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14355,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s2, s3)) | always210(s3) | (~always210(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14356,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s2, s3)) | always210(s3) | (~always210(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 12.66/8.93 tff(14357,plain,
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14356, 12818, 480])).
% 12.66/8.93 tff(14358,plain,
% 12.66/8.93 (~always210(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14357, 13938])).
% 12.66/8.93 tff(14359,plain,
% 12.66/8.93 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s2) | (~node211(s2)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s2) | (~node211(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14360,plain,
% 12.66/8.93 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s2) | (~node211(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14361,plain,
% 12.66/8.93 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s2) | (~node211(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 12.66/8.93 tff(14362,plain,
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14361, 12838, 14358])).
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% 12.66/8.93 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s2) | until221(s2) | (~node225(s2)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s2) | until221(s2) | (~node225(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14364,plain,
% 12.66/8.93 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s2) | until221(s2) | (~node225(s2)))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14365,plain,
% 12.66/8.93 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s2) | until221(s2) | (~node225(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 12.66/8.93 tff(14366,plain,
% 12.66/8.93 (until221(s2) | (~node225(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14365, 12852, 14362])).
% 12.66/8.93 tff(14367,plain,
% 12.66/8.93 (~node225(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14366, 14353])).
% 12.66/8.93 tff(14368,plain,
% 12.66/8.93 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s2) | node225(s2) | (~until226(s2)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14369,plain,
% 12.66/8.93 ((node225(s2) | (~until226(s2)) | xuntil227(s2)) <=> (xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14370,plain,
% 12.66/8.93 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s2) | (~until226(s2)) | xuntil227(s2))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s2) | node225(s2) | (~until226(s2))))),
% 12.66/8.93 inference(monotonicity,[status(thm)],[14369])).
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% 12.66/8.93 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s2) | (~until226(s2)) | xuntil227(s2))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2)))),
% 12.66/8.93 inference(transitivity,[status(thm)],[14370, 14368])).
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% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14373,plain,
% 12.66/8.93 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s2) | node225(s2) | (~until226(s2))),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14372, 14371])).
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% 12.66/8.93 (xuntil227(s2) | (~until226(s2))),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14373, 12900, 14367])).
% 12.66/8.93 tff(14375,plain,
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14374, 14304])).
% 12.66/8.93 tff(14376,plain,
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% 12.66/8.93 inference(rewrite,[status(thm)],[])).
% 12.66/8.93 tff(14377,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s2, s3)) | (~always208(s2)) | always208(s3))),
% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
% 12.66/8.93 tff(14378,plain,
% 12.66/8.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s2, s3)) | (~always208(s2)) | always208(s3)),
% 12.66/8.93 inference(modus_ponens,[status(thm)],[14377, 14376])).
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14378, 13044, 480])).
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14379, 13960])).
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% 12.66/8.93 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s2) | (~node209(s2)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s2) | (~node209(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
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% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.93 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 12.66/8.93 tff(14384,plain,
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14383, 13069, 14380])).
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% 12.66/8.93 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s2) | until226(s2) | (~node230(s2)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s2) | until226(s2) | (~node230(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
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% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.93 inference(modus_ponens,[status(thm)],[14386, 14385])).
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14387, 13083, 14384])).
% 12.66/8.93 tff(14389,plain,
% 12.66/8.93 (~node230(s2)),
% 12.66/8.93 inference(unit_resolution,[status(thm)],[14388, 14375])).
% 12.66/8.93 tff(14390,plain,
% 12.66/8.93 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s2) | node230(s2) | (~until231(s2)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s2) | node230(s2) | (~until231(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
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% 12.66/8.93 ((node230(s2) | (~until231(s2)) | xuntil232(s2)) <=> (xuntil232(s2) | node230(s2) | (~until231(s2)))),
% 12.66/8.93 inference(rewrite,[status(thm)],[])).
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% 12.66/8.93 inference(monotonicity,[status(thm)],[14391])).
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% 12.66/8.93 inference(transitivity,[status(thm)],[14392, 14390])).
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% 12.66/8.93 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.93 inference(modus_ponens,[status(thm)],[14394, 14393])).
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% 12.66/8.93 inference(unit_resolution,[status(thm)],[14395, 13140, 14389])).
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% 12.66/8.93 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14400, 13324, 480])).
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14401, 13982])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14404, 14403])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14408, 14407])).
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14409, 13368, 14406])).
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14410, 14397])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 ((node235(s2) | (~until236(s2)) | xuntil237(s2)) <=> (xuntil237(s2) | node235(s2) | (~until236(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(monotonicity,[status(thm)],[14413])).
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% 12.66/8.94 inference(transitivity,[status(thm)],[14414, 14412])).
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14416, 14415])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14421,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s2, s3)) | always204(s3) | (~always204(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14422,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s2, s3)) | always204(s3) | (~always204(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 12.66/8.94 tff(14423,plain,
% 12.66/8.94 (always204(s3) | (~always204(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14422, 13658, 480])).
% 12.66/8.94 tff(14424,plain,
% 12.66/8.94 (~always204(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14423, 14004])).
% 12.66/8.94 tff(14425,plain,
% 12.66/8.94 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s2) | (~node205(s2)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s2) | (~node205(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14426,plain,
% 12.66/8.94 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s2) | (~node205(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14427,plain,
% 12.66/8.94 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s2) | (~node205(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 12.66/8.94 tff(14428,plain,
% 12.66/8.94 (~node205(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14427, 13693, 14424])).
% 12.66/8.94 tff(14429,plain,
% 12.66/8.94 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s2) | until236(s2) | (~node240(s2)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s2) | until236(s2) | (~node240(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14430,plain,
% 12.66/8.94 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s2) | until236(s2) | (~node240(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14431,plain,
% 12.66/8.94 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s2) | until236(s2) | (~node240(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 12.66/8.94 tff(14432,plain,
% 12.66/8.94 (until236(s2) | (~node240(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14431, 13707, 14428])).
% 12.66/8.94 tff(14433,plain,
% 12.66/8.94 (~node240(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14432, 14419])).
% 12.66/8.94 tff(14434,plain,
% 12.66/8.94 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s2) | node240(s2) | (~until241(s2)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14435,plain,
% 12.66/8.94 ((node240(s2) | (~until241(s2)) | xuntil242(s2)) <=> (xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14436,plain,
% 12.66/8.94 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s2) | node240(s2) | (~until241(s2))))),
% 12.66/8.94 inference(monotonicity,[status(thm)],[14435])).
% 12.66/8.94 tff(14437,plain,
% 12.66/8.94 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2)))),
% 12.66/8.94 inference(transitivity,[status(thm)],[14436, 14434])).
% 12.66/8.94 tff(14438,plain,
% 12.66/8.94 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s2) | (~until241(s2)) | xuntil242(s2))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14439,plain,
% 12.66/8.94 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s2) | node240(s2) | (~until241(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14438, 14437])).
% 12.66/8.94 tff(14440,plain,
% 12.66/8.94 (xuntil242(s2) | (~until241(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14439, 13782, 14433])).
% 12.66/8.94 tff(14441,plain,
% 12.66/8.94 (~until241(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14440, 14289])).
% 12.66/8.94 tff(14442,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s2, s3)) | always202(s3) | (~always202(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s2, s3)) | always202(s3) | (~always202(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14443,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s2, s3)) | always202(s3) | (~always202(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14444,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s2, s3)) | always202(s3) | (~always202(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14443, 14442])).
% 12.66/8.94 tff(14445,plain,
% 12.66/8.94 (always202(s3) | (~always202(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14444, 14046, 480])).
% 12.66/8.94 tff(14446,plain,
% 12.66/8.94 (~always202(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14445, 14079])).
% 12.66/8.94 tff(14447,plain,
% 12.66/8.94 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s2) | (~node203(s2)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s2) | (~node203(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14448,plain,
% 12.66/8.94 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s2) | (~node203(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14449,plain,
% 12.66/8.94 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s2) | (~node203(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 12.66/8.94 tff(14450,plain,
% 12.66/8.94 (~node203(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14449, 14086, 14446])).
% 12.66/8.94 tff(14451,plain,
% 12.66/8.94 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s2) | until241(s2) | (~node245(s2)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s2) | until241(s2) | (~node245(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14452,plain,
% 12.66/8.94 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s2) | until241(s2) | (~node245(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14453,plain,
% 12.66/8.94 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s2) | until241(s2) | (~node245(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 12.66/8.94 tff(14454,plain,
% 12.66/8.94 (until241(s2) | (~node245(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14453, 14100, 14450])).
% 12.66/8.94 tff(14455,plain,
% 12.66/8.94 (~node245(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14454, 14441])).
% 12.66/8.94 tff(14456,plain,
% 12.66/8.94 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s2) | node245(s2) | (~until246(s2)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14457,plain,
% 12.66/8.94 ((node245(s2) | (~until246(s2)) | xuntil247(s2)) <=> (xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14458,plain,
% 12.66/8.94 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s2) | node245(s2) | (~until246(s2))))),
% 12.66/8.94 inference(monotonicity,[status(thm)],[14457])).
% 12.66/8.94 tff(14459,plain,
% 12.66/8.94 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2)))),
% 12.66/8.94 inference(transitivity,[status(thm)],[14458, 14456])).
% 12.66/8.94 tff(14460,plain,
% 12.66/8.94 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s2) | (~until246(s2)) | xuntil247(s2))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14461,plain,
% 12.66/8.94 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s2) | node245(s2) | (~until246(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14460, 14459])).
% 12.66/8.94 tff(14462,plain,
% 12.66/8.94 (xuntil247(s2) | (~until246(s2))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14461, 14184, 14455])).
% 12.66/8.94 tff(14463,plain,
% 12.66/8.94 (~until246(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14462, 14284])).
% 12.66/8.94 tff(14464,plain,
% 12.66/8.94 (^[X: $i] : refl((loop | (~last(X)) | (~always200(X))) <=> (loop | (~last(X)) | (~always200(X))))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14465,plain,
% 12.66/8.94 (![X: $i] : (loop | (~last(X)) | (~always200(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14464])).
% 12.66/8.94 tff(14466,plain,
% 12.66/8.94 (![X: $i] : (loop | (~last(X)) | (~always200(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14467,plain,
% 12.66/8.94 (^[X: $i] : rewrite(((loop | (~always200(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always200(X))))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14468,plain,
% 12.66/8.94 (![X: $i] : ((loop | (~always200(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14467])).
% 12.66/8.94 tff(14469,axiom,(![X: $i] : ((loop | (~always200(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty51')).
% 12.66/8.94 tff(14470,plain,
% 12.66/8.94 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14469, 14468])).
% 12.66/8.94 tff(14471,plain,
% 12.66/8.94 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14470, 14466])).
% 12.66/8.94 tff(14472,plain,(
% 12.66/8.94 ![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(skolemize,[status(sab)],[14471])).
% 12.66/8.94 tff(14473,plain,
% 12.66/8.94 (![X: $i] : (loop | (~last(X)) | (~always200(X)))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14472, 14465])).
% 12.66/8.94 tff(14474,plain,
% 12.66/8.94 (((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | (loop | (~last(s9)) | (~always200(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | loop | (~last(s9)) | (~always200(s9)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14475,plain,
% 12.66/8.94 ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | (loop | (~last(s9)) | (~always200(s9)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14476,plain,
% 12.66/8.94 ((~![X: $i] : (loop | (~last(X)) | (~always200(X)))) | loop | (~last(s9)) | (~always200(s9))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 12.66/8.94 tff(14477,plain,
% 12.66/8.94 (loop | (~always200(s9))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14476, 12530, 14473])).
% 12.66/8.94 tff(14478,plain,
% 12.66/8.94 (~always200(s9)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14477, 12517])).
% 12.66/8.94 tff(14479,plain,
% 12.66/8.94 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ((~trans(X, Y)) | (~always200(X)) | always200(Y)))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14480,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14479])).
% 12.66/8.94 tff(14481,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14482,plain,
% 12.66/8.94 (^[Y: $i, X: $i] : rewrite(((always200(Y) | (~trans(X, Y))) | (~always200(X))) <=> ((~trans(X, Y)) | (~always200(X)) | always200(Y)))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14483,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((always200(Y) | (~trans(X, Y))) | (~always200(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14482])).
% 12.66/8.94 tff(14484,axiom,(![Y: $i, X: $i] : ((always200(Y) | (~trans(X, Y))) | (~always200(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty50')).
% 12.66/8.94 tff(14485,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14484, 14483])).
% 12.66/8.94 tff(14486,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14485, 14481])).
% 12.66/8.94 tff(14487,plain,(
% 12.66/8.94 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(skolemize,[status(sab)],[14486])).
% 12.66/8.94 tff(14488,plain,
% 12.66/8.94 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14487, 14480])).
% 12.66/8.94 tff(14489,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (always200(s9) | (~trans(s8, s9)) | (~always200(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14490,plain,
% 12.66/8.94 (((~trans(s8, s9)) | (~always200(s8)) | always200(s9)) <=> (always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14491,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (always200(s9) | (~trans(s8, s9)) | (~always200(s8))))),
% 12.66/8.94 inference(monotonicity,[status(thm)],[14490])).
% 12.66/8.94 tff(14492,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8)))),
% 12.66/8.94 inference(transitivity,[status(thm)],[14491, 14489])).
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% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s8, s9)) | (~always200(s8)) | always200(s9))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14494,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | always200(s9) | (~trans(s8, s9)) | (~always200(s8))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 12.66/8.94 tff(14495,plain,
% 12.66/8.94 (always200(s9) | (~always200(s8))),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14494, 14488, 4962])).
% 12.66/8.94 tff(14496,plain,
% 12.66/8.94 (~always200(s8)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14495, 14478])).
% 12.66/8.94 tff(14497,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s7, s8)) | (~always200(s7)) | always200(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s7, s8)) | (~always200(s7)) | always200(s8))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14498,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s7, s8)) | (~always200(s7)) | always200(s8))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14499,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s7, s8)) | (~always200(s7)) | always200(s8)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 12.66/8.94 tff(14500,plain,
% 12.66/8.94 ((~always200(s7)) | always200(s8)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14499, 14488, 4830])).
% 12.66/8.94 tff(14501,plain,
% 12.66/8.94 (~always200(s7)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14500, 14496])).
% 12.66/8.94 tff(14502,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s6, s7)) | (~always200(s6)) | always200(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s6, s7)) | (~always200(s6)) | always200(s7))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14503,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s6, s7)) | (~always200(s6)) | always200(s7))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14504,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s6, s7)) | (~always200(s6)) | always200(s7)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14503, 14502])).
% 12.66/8.94 tff(14505,plain,
% 12.66/8.94 ((~always200(s6)) | always200(s7)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14504, 14488, 2095])).
% 12.66/8.94 tff(14506,plain,
% 12.66/8.94 (~always200(s6)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14505, 14501])).
% 12.66/8.94 tff(14507,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s5, s6)) | (~always200(s5)) | always200(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s5, s6)) | (~always200(s5)) | always200(s6))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14508,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s5, s6)) | (~always200(s5)) | always200(s6))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14509,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s5, s6)) | (~always200(s5)) | always200(s6)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 12.66/8.94 tff(14510,plain,
% 12.66/8.94 ((~always200(s5)) | always200(s6)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14509, 14488, 14])).
% 12.66/8.94 tff(14511,plain,
% 12.66/8.94 (~always200(s5)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14510, 14506])).
% 12.66/8.94 tff(14512,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s4, s5)) | (~always200(s4)) | always200(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s4, s5)) | (~always200(s4)) | always200(s5))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14513,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s4, s5)) | (~always200(s4)) | always200(s5))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14514,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s4, s5)) | (~always200(s4)) | always200(s5)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 12.66/8.94 tff(14515,plain,
% 12.66/8.94 ((~always200(s4)) | always200(s5)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14514, 14488, 1043])).
% 12.66/8.94 tff(14516,plain,
% 12.66/8.94 (~always200(s4)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14515, 14511])).
% 12.66/8.94 tff(14517,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s3, s4)) | (~always200(s3)) | always200(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s3, s4)) | (~always200(s3)) | always200(s4))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14518,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s3, s4)) | (~always200(s3)) | always200(s4))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14519,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s3, s4)) | (~always200(s3)) | always200(s4)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14518, 14517])).
% 12.66/8.94 tff(14520,plain,
% 12.66/8.94 ((~always200(s3)) | always200(s4)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14519, 14488, 911])).
% 12.66/8.94 tff(14521,plain,
% 12.66/8.94 (~always200(s3)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14520, 14516])).
% 12.66/8.94 tff(14522,plain,
% 12.66/8.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s2, s3)) | (~always200(s2)) | always200(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s2, s3)) | (~always200(s2)) | always200(s3))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14523,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s2, s3)) | (~always200(s2)) | always200(s3))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14524,plain,
% 12.66/8.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s2, s3)) | (~always200(s2)) | always200(s3)),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 12.66/8.94 tff(14525,plain,
% 12.66/8.94 ((~always200(s2)) | always200(s3)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14524, 14488, 480])).
% 12.66/8.94 tff(14526,plain,
% 12.66/8.94 (~always200(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14525, 14521])).
% 12.66/8.94 tff(14527,plain,
% 12.66/8.94 (^[X: $i] : refl((always200(X) | (~node201(X))) <=> (always200(X) | (~node201(X))))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14528,plain,
% 12.66/8.94 (![X: $i] : (always200(X) | (~node201(X))) <=> ![X: $i] : (always200(X) | (~node201(X)))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14527])).
% 12.66/8.94 tff(14529,plain,
% 12.66/8.94 (![X: $i] : (always200(X) | (~node201(X))) <=> ![X: $i] : (always200(X) | (~node201(X)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14530,axiom,(![X: $i] : (always200(X) | (~node201(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty54')).
% 12.66/8.94 tff(14531,plain,
% 12.66/8.94 (![X: $i] : (always200(X) | (~node201(X)))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14530, 14529])).
% 12.66/8.94 tff(14532,plain,(
% 12.66/8.94 ![X: $i] : (always200(X) | (~node201(X)))),
% 12.66/8.94 inference(skolemize,[status(sab)],[14531])).
% 12.66/8.94 tff(14533,plain,
% 12.66/8.94 (![X: $i] : (always200(X) | (~node201(X)))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14532, 14528])).
% 12.66/8.94 tff(14534,plain,
% 12.66/8.94 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s2) | (~node201(s2)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s2) | (~node201(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14535,plain,
% 12.66/8.94 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s2) | (~node201(s2)))),
% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14536,plain,
% 12.66/8.94 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s2) | (~node201(s2))),
% 12.66/8.94 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 12.66/8.94 tff(14537,plain,
% 12.66/8.94 (~node201(s2)),
% 12.66/8.94 inference(unit_resolution,[status(thm)],[14536, 14533, 14526])).
% 12.66/8.94 tff(14538,plain,
% 12.66/8.94 (^[X: $i] : refl((node201(X) | until246(X) | (~node250(X))) <=> (node201(X) | until246(X) | (~node250(X))))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14539,plain,
% 12.66/8.94 (![X: $i] : (node201(X) | until246(X) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14538])).
% 12.66/8.94 tff(14540,plain,
% 12.66/8.94 (![X: $i] : (node201(X) | until246(X) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
% 12.66/8.94 tff(14541,plain,
% 12.66/8.94 (^[X: $i] : rewrite(((node201(X) | until246(X)) | (~node250(X))) <=> (node201(X) | until246(X) | (~node250(X))))),
% 12.66/8.94 inference(bind,[status(th)],[])).
% 12.66/8.94 tff(14542,plain,
% 12.66/8.94 (![X: $i] : ((node201(X) | until246(X)) | (~node250(X))) <=> ![X: $i] : (node201(X) | until246(X) | (~node250(X)))),
% 12.66/8.94 inference(quant_intro,[status(thm)],[14541])).
% 12.66/8.94 tff(14543,axiom,(![X: $i] : ((node201(X) | until246(X)) | (~node250(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty159')).
% 12.66/8.94 tff(14544,plain,
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 12.66/8.94 tff(14545,plain,
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14544, 14540])).
% 12.66/8.94 tff(14546,plain,(
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% 12.66/8.94 inference(skolemize,[status(sab)],[14545])).
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14546, 14539])).
% 12.66/8.94 tff(14548,plain,
% 12.66/8.94 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s2) | until246(s2) | (~node250(s2)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s2) | until246(s2) | (~node250(s2)))),
% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14550,plain,
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% 12.66/8.94 inference(modus_ponens,[status(thm)],[14549, 14548])).
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14550, 14547, 14537])).
% 12.66/8.94 tff(14552,plain,
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% 12.66/8.94 inference(unit_resolution,[status(thm)],[14551, 14463])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
% 12.66/8.94 tff(14555,plain,
% 12.66/8.94 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s3) | (~node201(s3))),
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 tff(14564,plain,
% 12.66/8.94 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s4) | (~node201(s4))),
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.94 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.94 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14655, 14651])).
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% 12.66/8.95 inference(skolemize,[status(sab)],[14656])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14657, 14650])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14660, 14659])).
% 12.66/8.95 tff(14662,plain,
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14661, 4958, 14658])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14662, 14648])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((node250(s8) | (~until251(s8)) | xuntil252(s8)) <=> (xuntil252(s8) | node250(s8) | (~until251(s8)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14666,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s8) | (~until251(s8)) | xuntil252(s8))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s8) | node250(s8) | (~until251(s8))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14665])).
% 12.66/8.95 tff(14667,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s8) | (~until251(s8)) | xuntil252(s8))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s8) | node250(s8) | (~until251(s8)))),
% 12.66/8.95 inference(transitivity,[status(thm)],[14666, 14664])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14669,plain,
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 12.66/8.95 tff(14670,plain,
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14669, 14640, 14663])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14670, 14606])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s7, s8)) | (~xuntil252(s7)) | until251(s8)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 12.66/8.95 tff(14675,plain,
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14674, 4826, 14658])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14675, 14671])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((node250(s7) | (~until251(s7)) | xuntil252(s7)) <=> (xuntil252(s7) | node250(s7) | (~until251(s7)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14679,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s7) | (~until251(s7)) | xuntil252(s7))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s7) | node250(s7) | (~until251(s7))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14678])).
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% 12.66/8.95 inference(transitivity,[status(thm)],[14679, 14677])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14682,plain,
% 12.66/8.95 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s7) | node250(s7) | (~until251(s7))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14681, 14680])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14682, 14640, 14676])).
% 12.66/8.95 tff(14684,plain,
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14683, 14597])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14687,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s6, s7)) | (~xuntil252(s6)) | until251(s7)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 12.66/8.95 tff(14688,plain,
% 12.66/8.95 ((~xuntil252(s6)) | until251(s7)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14687, 2091, 14658])).
% 12.66/8.95 tff(14689,plain,
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14688, 14684])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((node250(s6) | (~until251(s6)) | xuntil252(s6)) <=> (xuntil252(s6) | node250(s6) | (~until251(s6)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14692,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s6) | (~until251(s6)) | xuntil252(s6))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s6) | node250(s6) | (~until251(s6))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14691])).
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% 12.66/8.95 inference(transitivity,[status(thm)],[14692, 14690])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14694, 14693])).
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% 12.66/8.95 (node250(s6) | (~until251(s6))),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14695, 14640, 14689])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14696, 14588])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14699, 14698])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14700, 10, 14658])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14701, 14697])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((node250(s5) | (~until251(s5)) | xuntil252(s5)) <=> (xuntil252(s5) | node250(s5) | (~until251(s5)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s5) | (~until251(s5)) | xuntil252(s5))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s5) | node250(s5) | (~until251(s5))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14704])).
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% 12.66/8.95 inference(transitivity,[status(thm)],[14705, 14703])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14708, 14640, 14702])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14709, 14579])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(modus_ponens,[status(thm)],[14712, 14711])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14713, 1039, 14658])).
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% 12.66/8.95 (~xuntil252(s4)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14714, 14710])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 ((node250(s4) | (~until251(s4)) | xuntil252(s4)) <=> (xuntil252(s4) | node250(s4) | (~until251(s4)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
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% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s4) | (~until251(s4)) | xuntil252(s4))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s4) | node250(s4) | (~until251(s4))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14717])).
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% 12.66/8.95 inference(transitivity,[status(thm)],[14718, 14716])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.95 inference(unit_resolution,[status(thm)],[14721, 14640, 14715])).
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% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14725,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14726,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s3, s4)) | (~xuntil252(s3)) | until251(s4)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14725, 14724])).
% 12.66/8.95 tff(14727,plain,
% 12.66/8.95 ((~xuntil252(s3)) | until251(s4)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14726, 907, 14658])).
% 12.66/8.95 tff(14728,plain,
% 12.66/8.95 (~xuntil252(s3)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14727, 14723])).
% 12.66/8.95 tff(14729,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s3) | node250(s3) | (~until251(s3)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14730,plain,
% 12.66/8.95 ((node250(s3) | (~until251(s3)) | xuntil252(s3)) <=> (xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14731,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s3) | node250(s3) | (~until251(s3))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14730])).
% 12.66/8.95 tff(14732,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3)))),
% 12.66/8.95 inference(transitivity,[status(thm)],[14731, 14729])).
% 12.66/8.95 tff(14733,plain,
% 12.66/8.95 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s3) | (~until251(s3)) | xuntil252(s3))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14734,plain,
% 12.66/8.95 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s3) | node250(s3) | (~until251(s3))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 12.66/8.95 tff(14735,plain,
% 12.66/8.95 (node250(s3) | (~until251(s3))),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14734, 14640, 14728])).
% 12.66/8.95 tff(14736,plain,
% 12.66/8.95 (~until251(s3)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14735, 14561])).
% 12.66/8.95 tff(14737,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14738,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14739,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s2, s3)) | (~xuntil252(s2)) | until251(s3)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 12.66/8.95 tff(14740,plain,
% 12.66/8.95 ((~xuntil252(s2)) | until251(s3)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14739, 476, 14658])).
% 12.66/8.95 tff(14741,plain,
% 12.66/8.95 (~xuntil252(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14740, 14736])).
% 12.66/8.95 tff(14742,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s2) | node250(s2) | (~until251(s2)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14743,plain,
% 12.66/8.95 ((node250(s2) | (~until251(s2)) | xuntil252(s2)) <=> (xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14744,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s2) | node250(s2) | (~until251(s2))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14743])).
% 12.66/8.95 tff(14745,plain,
% 12.66/8.95 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2)))),
% 12.66/8.95 inference(transitivity,[status(thm)],[14744, 14742])).
% 12.66/8.95 tff(14746,plain,
% 12.66/8.95 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s2) | (~until251(s2)) | xuntil252(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14747,plain,
% 12.66/8.95 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s2) | node250(s2) | (~until251(s2))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 12.66/8.95 tff(14748,plain,
% 12.66/8.95 (~until251(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14747, 14640, 14741, 14552])).
% 12.66/8.95 tff(14749,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14750,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | ((~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14751,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s1, s2)) | (~xuntil252(s1)) | until251(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 12.66/8.95 tff(14752,plain,
% 12.66/8.95 ((~xuntil252(s1)) | until251(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14751, 267, 14658])).
% 12.66/8.95 tff(14753,plain,
% 12.66/8.95 (~xuntil252(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14752, 14748])).
% 12.66/8.95 tff(14754,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14755,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14756,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s1, s2)) | (~xuntil247(s1)) | until246(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 12.66/8.95 tff(14757,plain,
% 12.66/8.95 ((~xuntil247(s1)) | until246(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14756, 267, 14202])).
% 12.66/8.95 tff(14758,plain,
% 12.66/8.95 (~xuntil247(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14757, 14463])).
% 12.66/8.95 tff(14759,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14760,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14761,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s1, s2)) | (~xuntil242(s1)) | until241(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 12.66/8.95 tff(14762,plain,
% 12.66/8.95 ((~xuntil242(s1)) | until241(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14761, 267, 13800])).
% 12.66/8.95 tff(14763,plain,
% 12.66/8.95 (~xuntil242(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14762, 14441])).
% 12.66/8.95 tff(14764,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14765,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14766,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s1, s2)) | (~xuntil237(s1)) | until236(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 12.66/8.95 tff(14767,plain,
% 12.66/8.95 ((~xuntil237(s1)) | until236(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14766, 267, 13452])).
% 12.66/8.95 tff(14768,plain,
% 12.66/8.95 (~xuntil237(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14767, 14419])).
% 12.66/8.95 tff(14769,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14770,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14771,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s1, s2)) | (~xuntil232(s1)) | until231(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14770, 14769])).
% 12.66/8.95 tff(14772,plain,
% 12.66/8.95 ((~xuntil232(s1)) | until231(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14771, 267, 13158])).
% 12.66/8.95 tff(14773,plain,
% 12.66/8.95 (~xuntil232(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14772, 14397])).
% 12.66/8.95 tff(14774,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14775,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14776,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s1, s2)) | (~xuntil227(s1)) | until226(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 12.66/8.95 tff(14777,plain,
% 12.66/8.95 ((~xuntil227(s1)) | until226(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14776, 267, 12918])).
% 12.66/8.95 tff(14778,plain,
% 12.66/8.95 (~xuntil227(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14777, 14375])).
% 12.66/8.95 tff(14779,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14780,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14781,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s1, s2)) | (~xuntil222(s1)) | until221(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 12.66/8.95 tff(14782,plain,
% 12.66/8.95 ((~xuntil222(s1)) | until221(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14781, 267, 12732])).
% 12.66/8.95 tff(14783,plain,
% 12.66/8.95 (~xuntil222(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14782, 14353])).
% 12.66/8.95 tff(14784,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14785,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14786,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s1, s2)) | (~xuntil217(s1)) | until216(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14785, 14784])).
% 12.66/8.95 tff(14787,plain,
% 12.66/8.95 ((~xuntil217(s1)) | until216(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14786, 267, 12655])).
% 12.66/8.95 tff(14788,plain,
% 12.66/8.95 (~xuntil217(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14787, 14331])).
% 12.66/8.95 tff(14789,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s1, s2)) | (~always214(s1)) | always214(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s1, s2)) | (~always214(s1)) | always214(s2))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14790,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s1, s2)) | (~always214(s1)) | always214(s2))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14791,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s1, s2)) | (~always214(s1)) | always214(s2)),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14790, 14789])).
% 12.66/8.95 tff(14792,plain,
% 12.66/8.95 ((~always214(s1)) | always214(s2)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14791, 12589, 271])).
% 12.66/8.95 tff(14793,plain,
% 12.66/8.95 (~always214(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14792, 14319])).
% 12.66/8.95 tff(14794,plain,
% 12.66/8.95 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s1) | (~node215(s1)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s1) | (~node215(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14795,plain,
% 12.66/8.95 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s1) | (~node215(s1)))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14796,plain,
% 12.66/8.95 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s1) | (~node215(s1))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14795, 14794])).
% 12.66/8.95 tff(14797,plain,
% 12.66/8.95 (~node215(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14796, 12604, 14793])).
% 12.66/8.95 tff(14798,plain,
% 12.66/8.95 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s1) | node215(s1) | (~until216(s1)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s1) | node215(s1) | (~until216(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14799,plain,
% 12.66/8.95 ((node215(s1) | (~until216(s1)) | xuntil217(s1)) <=> (xuntil217(s1) | node215(s1) | (~until216(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14800,plain,
% 12.66/8.95 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s1) | (~until216(s1)) | xuntil217(s1))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s1) | node215(s1) | (~until216(s1))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14799])).
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% 12.66/8.95 inference(transitivity,[status(thm)],[14800, 14798])).
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% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14803,plain,
% 12.66/8.95 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s1) | node215(s1) | (~until216(s1))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 12.66/8.95 tff(14804,plain,
% 12.66/8.95 (xuntil217(s1) | (~until216(s1))),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14803, 12637, 14797])).
% 12.66/8.95 tff(14805,plain,
% 12.66/8.95 (~until216(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14804, 14788])).
% 12.66/8.95 tff(14806,plain,
% 12.66/8.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s1, s2)) | always212(s2) | (~always212(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s1, s2)) | always212(s2) | (~always212(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14807,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s1, s2)) | always212(s2) | (~always212(s1)))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14808,plain,
% 12.66/8.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s1, s2)) | always212(s2) | (~always212(s1))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14807, 14806])).
% 12.66/8.95 tff(14809,plain,
% 12.66/8.95 (always212(s2) | (~always212(s1))),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14808, 12545, 271])).
% 12.66/8.95 tff(14810,plain,
% 12.66/8.95 (~always212(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14809, 14336])).
% 12.66/8.95 tff(14811,plain,
% 12.66/8.95 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s1) | (~node213(s1)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s1) | (~node213(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14812,plain,
% 12.66/8.95 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s1) | (~node213(s1)))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14813,plain,
% 12.66/8.95 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s1) | (~node213(s1))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14812, 14811])).
% 12.66/8.95 tff(14814,plain,
% 12.66/8.95 (~node213(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14813, 12560, 14810])).
% 12.66/8.95 tff(14815,plain,
% 12.66/8.95 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s1) | until216(s1) | (~node220(s1)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s1) | until216(s1) | (~node220(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14816,plain,
% 12.66/8.95 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s1) | until216(s1) | (~node220(s1)))),
% 12.66/8.95 inference(quant_inst,[status(thm)],[])).
% 12.66/8.95 tff(14817,plain,
% 12.66/8.95 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s1) | until216(s1) | (~node220(s1))),
% 12.66/8.95 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 12.66/8.95 tff(14818,plain,
% 12.66/8.95 (until216(s1) | (~node220(s1))),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14817, 12677, 14814])).
% 12.66/8.95 tff(14819,plain,
% 12.66/8.95 (~node220(s1)),
% 12.66/8.95 inference(unit_resolution,[status(thm)],[14818, 14805])).
% 12.66/8.95 tff(14820,plain,
% 12.66/8.95 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s1) | node220(s1) | (~until221(s1)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14821,plain,
% 12.66/8.95 ((node220(s1) | (~until221(s1)) | xuntil222(s1)) <=> (xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.66/8.95 inference(rewrite,[status(thm)],[])).
% 12.66/8.95 tff(14822,plain,
% 12.66/8.95 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s1) | node220(s1) | (~until221(s1))))),
% 12.66/8.95 inference(monotonicity,[status(thm)],[14821])).
% 12.66/8.95 tff(14823,plain,
% 12.66/8.95 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14822, 14820])).
% 12.66/8.96 tff(14824,plain,
% 12.66/8.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s1) | (~until221(s1)) | xuntil222(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14825,plain,
% 12.66/8.96 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s1) | node220(s1) | (~until221(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 12.66/8.96 tff(14826,plain,
% 12.66/8.96 (xuntil222(s1) | (~until221(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14825, 12714, 14819])).
% 12.66/8.96 tff(14827,plain,
% 12.66/8.96 (~until221(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14826, 14783])).
% 12.66/8.96 tff(14828,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s1, s2)) | always210(s2) | (~always210(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s1, s2)) | always210(s2) | (~always210(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14829,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s1, s2)) | always210(s2) | (~always210(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14830,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s1, s2)) | always210(s2) | (~always210(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14829, 14828])).
% 12.66/8.96 tff(14831,plain,
% 12.66/8.96 (always210(s2) | (~always210(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14830, 12818, 271])).
% 12.66/8.96 tff(14832,plain,
% 12.66/8.96 (~always210(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14831, 14358])).
% 12.66/8.96 tff(14833,plain,
% 12.66/8.96 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s1) | (~node211(s1)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s1) | (~node211(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14834,plain,
% 12.66/8.96 ((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s1) | (~node211(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14835,plain,
% 12.66/8.96 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s1) | (~node211(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 12.66/8.96 tff(14836,plain,
% 12.66/8.96 (~node211(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14835, 12838, 14832])).
% 12.66/8.96 tff(14837,plain,
% 12.66/8.96 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s1) | until221(s1) | (~node225(s1)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s1) | until221(s1) | (~node225(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14838,plain,
% 12.66/8.96 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s1) | until221(s1) | (~node225(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14839,plain,
% 12.66/8.96 ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s1) | until221(s1) | (~node225(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 12.66/8.96 tff(14840,plain,
% 12.66/8.96 (until221(s1) | (~node225(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14839, 12852, 14836])).
% 12.66/8.96 tff(14841,plain,
% 12.66/8.96 (~node225(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14840, 14827])).
% 12.66/8.96 tff(14842,plain,
% 12.66/8.96 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s1) | node225(s1) | (~until226(s1)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14843,plain,
% 12.66/8.96 ((node225(s1) | (~until226(s1)) | xuntil227(s1)) <=> (xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14844,plain,
% 12.66/8.96 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s1) | node225(s1) | (~until226(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14843])).
% 12.66/8.96 tff(14845,plain,
% 12.66/8.96 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14844, 14842])).
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% 12.66/8.96 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s1) | (~until226(s1)) | xuntil227(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14847,plain,
% 12.66/8.96 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s1) | node225(s1) | (~until226(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14846, 14845])).
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% 12.66/8.96 (xuntil227(s1) | (~until226(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14847, 12900, 14841])).
% 12.66/8.96 tff(14849,plain,
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% 12.66/8.96 inference(unit_resolution,[status(thm)],[14848, 14778])).
% 12.66/8.96 tff(14850,plain,
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% 12.66/8.96 inference(rewrite,[status(thm)],[])).
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% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s1, s2)) | (~always208(s1)) | always208(s2))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14852,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s1, s2)) | (~always208(s1)) | always208(s2)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 12.66/8.96 tff(14853,plain,
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% 12.66/8.96 inference(unit_resolution,[status(thm)],[14852, 13044, 271])).
% 12.66/8.96 tff(14854,plain,
% 12.66/8.96 (~always208(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14853, 14380])).
% 12.66/8.96 tff(14855,plain,
% 12.66/8.96 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s1) | (~node209(s1)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s1) | (~node209(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14856,plain,
% 12.66/8.96 ((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s1) | (~node209(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14857,plain,
% 12.66/8.96 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s1) | (~node209(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 12.66/8.96 tff(14858,plain,
% 12.66/8.96 (~node209(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14857, 13069, 14854])).
% 12.66/8.96 tff(14859,plain,
% 12.66/8.96 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s1) | until226(s1) | (~node230(s1)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s1) | until226(s1) | (~node230(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14860,plain,
% 12.66/8.96 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s1) | until226(s1) | (~node230(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14861,plain,
% 12.66/8.96 ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s1) | until226(s1) | (~node230(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 12.66/8.96 tff(14862,plain,
% 12.66/8.96 (until226(s1) | (~node230(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14861, 13083, 14858])).
% 12.66/8.96 tff(14863,plain,
% 12.66/8.96 (~node230(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14862, 14849])).
% 12.66/8.96 tff(14864,plain,
% 12.66/8.96 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s1) | node230(s1) | (~until231(s1)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14865,plain,
% 12.66/8.96 ((node230(s1) | (~until231(s1)) | xuntil232(s1)) <=> (xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14866,plain,
% 12.66/8.96 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s1) | (~until231(s1)) | xuntil232(s1))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s1) | node230(s1) | (~until231(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14865])).
% 12.66/8.96 tff(14867,plain,
% 12.66/8.96 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s1) | (~until231(s1)) | xuntil232(s1))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14866, 14864])).
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% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14869,plain,
% 12.66/8.96 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s1) | node230(s1) | (~until231(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 12.66/8.96 tff(14870,plain,
% 12.66/8.96 (xuntil232(s1) | (~until231(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14869, 13140, 14863])).
% 12.66/8.96 tff(14871,plain,
% 12.66/8.96 (~until231(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14870, 14773])).
% 12.66/8.96 tff(14872,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s1, s2)) | (~always206(s1)) | always206(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s1, s2)) | (~always206(s1)) | always206(s2))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14873,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | ((~trans(s1, s2)) | (~always206(s1)) | always206(s2))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14874,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always206(X)) | always206(Y))) | (~trans(s1, s2)) | (~always206(s1)) | always206(s2)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 12.66/8.96 tff(14875,plain,
% 12.66/8.96 ((~always206(s1)) | always206(s2)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14874, 13324, 271])).
% 12.66/8.96 tff(14876,plain,
% 12.66/8.96 (~always206(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14875, 14402])).
% 12.66/8.96 tff(14877,plain,
% 12.66/8.96 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s1) | (~node207(s1)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s1) | (~node207(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14878,plain,
% 12.66/8.96 ((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s1) | (~node207(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14879,plain,
% 12.66/8.96 ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s1) | (~node207(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 12.66/8.96 tff(14880,plain,
% 12.66/8.96 (~node207(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14879, 13354, 14876])).
% 12.66/8.96 tff(14881,plain,
% 12.66/8.96 (((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s1) | until231(s1) | (~node235(s1)))) <=> ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s1) | until231(s1) | (~node235(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14882,plain,
% 12.66/8.96 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | (node207(s1) | until231(s1) | (~node235(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14883,plain,
% 12.66/8.96 ((~![X: $i] : (node207(X) | until231(X) | (~node235(X)))) | node207(s1) | until231(s1) | (~node235(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 12.66/8.96 tff(14884,plain,
% 12.66/8.96 (until231(s1) | (~node235(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14883, 13368, 14880])).
% 12.66/8.96 tff(14885,plain,
% 12.66/8.96 (~node235(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14884, 14871])).
% 12.66/8.96 tff(14886,plain,
% 12.66/8.96 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s1) | node235(s1) | (~until236(s1)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14887,plain,
% 12.66/8.96 ((node235(s1) | (~until236(s1)) | xuntil237(s1)) <=> (xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14888,plain,
% 12.66/8.96 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s1) | node235(s1) | (~until236(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14887])).
% 12.66/8.96 tff(14889,plain,
% 12.66/8.96 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14888, 14886])).
% 12.66/8.96 tff(14890,plain,
% 12.66/8.96 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s1) | (~until236(s1)) | xuntil237(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14891,plain,
% 12.66/8.96 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s1) | node235(s1) | (~until236(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 12.66/8.96 tff(14892,plain,
% 12.66/8.96 (xuntil237(s1) | (~until236(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14891, 13434, 14885])).
% 12.66/8.96 tff(14893,plain,
% 12.66/8.96 (~until236(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14892, 14768])).
% 12.66/8.96 tff(14894,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s1, s2)) | always204(s2) | (~always204(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s1, s2)) | always204(s2) | (~always204(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14895,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s1, s2)) | always204(s2) | (~always204(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14896,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s1, s2)) | always204(s2) | (~always204(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 12.66/8.96 tff(14897,plain,
% 12.66/8.96 (always204(s2) | (~always204(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14896, 13658, 271])).
% 12.66/8.96 tff(14898,plain,
% 12.66/8.96 (~always204(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14897, 14424])).
% 12.66/8.96 tff(14899,plain,
% 12.66/8.96 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s1) | (~node205(s1)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s1) | (~node205(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14900,plain,
% 12.66/8.96 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s1) | (~node205(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14901,plain,
% 12.66/8.96 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s1) | (~node205(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14900, 14899])).
% 12.66/8.96 tff(14902,plain,
% 12.66/8.96 (~node205(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14901, 13693, 14898])).
% 12.66/8.96 tff(14903,plain,
% 12.66/8.96 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s1) | until236(s1) | (~node240(s1)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s1) | until236(s1) | (~node240(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14904,plain,
% 12.66/8.96 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s1) | until236(s1) | (~node240(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14905,plain,
% 12.66/8.96 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s1) | until236(s1) | (~node240(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14904, 14903])).
% 12.66/8.96 tff(14906,plain,
% 12.66/8.96 (until236(s1) | (~node240(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14905, 13707, 14902])).
% 12.66/8.96 tff(14907,plain,
% 12.66/8.96 (~node240(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14906, 14893])).
% 12.66/8.96 tff(14908,plain,
% 12.66/8.96 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s1) | node240(s1) | (~until241(s1)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14909,plain,
% 12.66/8.96 ((node240(s1) | (~until241(s1)) | xuntil242(s1)) <=> (xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14910,plain,
% 12.66/8.96 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s1) | node240(s1) | (~until241(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14909])).
% 12.66/8.96 tff(14911,plain,
% 12.66/8.96 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14910, 14908])).
% 12.66/8.96 tff(14912,plain,
% 12.66/8.96 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s1) | (~until241(s1)) | xuntil242(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14913,plain,
% 12.66/8.96 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s1) | node240(s1) | (~until241(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 12.66/8.96 tff(14914,plain,
% 12.66/8.96 (xuntil242(s1) | (~until241(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14913, 13782, 14907])).
% 12.66/8.96 tff(14915,plain,
% 12.66/8.96 (~until241(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14914, 14763])).
% 12.66/8.96 tff(14916,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s1, s2)) | always202(s2) | (~always202(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s1, s2)) | always202(s2) | (~always202(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14917,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s1, s2)) | always202(s2) | (~always202(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14918,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s1, s2)) | always202(s2) | (~always202(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 12.66/8.96 tff(14919,plain,
% 12.66/8.96 (always202(s2) | (~always202(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14918, 14046, 271])).
% 12.66/8.96 tff(14920,plain,
% 12.66/8.96 (~always202(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14919, 14446])).
% 12.66/8.96 tff(14921,plain,
% 12.66/8.96 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s1) | (~node203(s1)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s1) | (~node203(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14922,plain,
% 12.66/8.96 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s1) | (~node203(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14923,plain,
% 12.66/8.96 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s1) | (~node203(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 12.66/8.96 tff(14924,plain,
% 12.66/8.96 (~node203(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14923, 14086, 14920])).
% 12.66/8.96 tff(14925,plain,
% 12.66/8.96 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s1) | until241(s1) | (~node245(s1)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s1) | until241(s1) | (~node245(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14926,plain,
% 12.66/8.96 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s1) | until241(s1) | (~node245(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14927,plain,
% 12.66/8.96 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s1) | until241(s1) | (~node245(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 12.66/8.96 tff(14928,plain,
% 12.66/8.96 (until241(s1) | (~node245(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14927, 14100, 14924])).
% 12.66/8.96 tff(14929,plain,
% 12.66/8.96 (~node245(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14928, 14915])).
% 12.66/8.96 tff(14930,plain,
% 12.66/8.96 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s1) | node245(s1) | (~until246(s1)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14931,plain,
% 12.66/8.96 ((node245(s1) | (~until246(s1)) | xuntil247(s1)) <=> (xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14932,plain,
% 12.66/8.96 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s1) | node245(s1) | (~until246(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14931])).
% 12.66/8.96 tff(14933,plain,
% 12.66/8.96 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14932, 14930])).
% 12.66/8.96 tff(14934,plain,
% 12.66/8.96 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s1) | (~until246(s1)) | xuntil247(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14935,plain,
% 12.66/8.96 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s1) | node245(s1) | (~until246(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 12.66/8.96 tff(14936,plain,
% 12.66/8.96 (xuntil247(s1) | (~until246(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14935, 14184, 14929])).
% 12.66/8.96 tff(14937,plain,
% 12.66/8.96 (~until246(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14936, 14758])).
% 12.66/8.96 tff(14938,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s1, s2)) | (~always200(s1)) | always200(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s1, s2)) | (~always200(s1)) | always200(s2))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14939,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s1, s2)) | (~always200(s1)) | always200(s2))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14940,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s1, s2)) | (~always200(s1)) | always200(s2)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 12.66/8.96 tff(14941,plain,
% 12.66/8.96 ((~always200(s1)) | always200(s2)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14940, 14488, 271])).
% 12.66/8.96 tff(14942,plain,
% 12.66/8.96 (~always200(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14941, 14526])).
% 12.66/8.96 tff(14943,plain,
% 12.66/8.96 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s1) | (~node201(s1)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s1) | (~node201(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14944,plain,
% 12.66/8.96 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s1) | (~node201(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14945,plain,
% 12.66/8.96 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s1) | (~node201(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14944, 14943])).
% 12.66/8.96 tff(14946,plain,
% 12.66/8.96 (~node201(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14945, 14533, 14942])).
% 12.66/8.96 tff(14947,plain,
% 12.66/8.96 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s1) | until246(s1) | (~node250(s1)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s1) | until246(s1) | (~node250(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14948,plain,
% 12.66/8.96 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s1) | until246(s1) | (~node250(s1)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14949,plain,
% 12.66/8.96 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s1) | until246(s1) | (~node250(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 12.66/8.96 tff(14950,plain,
% 12.66/8.96 (until246(s1) | (~node250(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14949, 14547, 14946])).
% 12.66/8.96 tff(14951,plain,
% 12.66/8.96 (~node250(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14950, 14937])).
% 12.66/8.96 tff(14952,plain,
% 12.66/8.96 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s1) | node250(s1) | (~until251(s1)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14953,plain,
% 12.66/8.96 ((node250(s1) | (~until251(s1)) | xuntil252(s1)) <=> (xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14954,plain,
% 12.66/8.96 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s1) | node250(s1) | (~until251(s1))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14953])).
% 12.66/8.96 tff(14955,plain,
% 12.66/8.96 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14954, 14952])).
% 12.66/8.96 tff(14956,plain,
% 12.66/8.96 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s1) | (~until251(s1)) | xuntil252(s1))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14957,plain,
% 12.66/8.96 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s1) | node250(s1) | (~until251(s1))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 12.66/8.96 tff(14958,plain,
% 12.66/8.96 (xuntil252(s1) | (~until251(s1))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14957, 14640, 14951])).
% 12.66/8.96 tff(14959,plain,
% 12.66/8.96 (~until251(s1)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14958, 14753])).
% 12.66/8.96 tff(14960,plain,
% 12.66/8.96 (^[X: $i] : refl((loop | (~last(X)) | (~always198(X))) <=> (loop | (~last(X)) | (~always198(X))))),
% 12.66/8.96 inference(bind,[status(th)],[])).
% 12.66/8.96 tff(14961,plain,
% 12.66/8.96 (![X: $i] : (loop | (~last(X)) | (~always198(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(quant_intro,[status(thm)],[14960])).
% 12.66/8.96 tff(14962,plain,
% 12.66/8.96 (![X: $i] : (loop | (~last(X)) | (~always198(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14963,plain,
% 12.66/8.96 (^[X: $i] : rewrite(((loop | (~always198(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always198(X))))),
% 12.66/8.96 inference(bind,[status(th)],[])).
% 12.66/8.96 tff(14964,plain,
% 12.66/8.96 (![X: $i] : ((loop | (~always198(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(quant_intro,[status(thm)],[14963])).
% 12.66/8.96 tff(14965,axiom,(![X: $i] : ((loop | (~always198(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty45')).
% 12.66/8.96 tff(14966,plain,
% 12.66/8.96 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 12.66/8.96 tff(14967,plain,
% 12.66/8.96 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14966, 14962])).
% 12.66/8.96 tff(14968,plain,(
% 12.66/8.96 ![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(skolemize,[status(sab)],[14967])).
% 12.66/8.96 tff(14969,plain,
% 12.66/8.96 (![X: $i] : (loop | (~last(X)) | (~always198(X)))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14968, 14961])).
% 12.66/8.96 tff(14970,plain,
% 12.66/8.96 (((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | (loop | (~last(s9)) | (~always198(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | loop | (~last(s9)) | (~always198(s9)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14971,plain,
% 12.66/8.96 ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | (loop | (~last(s9)) | (~always198(s9)))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14972,plain,
% 12.66/8.96 ((~![X: $i] : (loop | (~last(X)) | (~always198(X)))) | loop | (~last(s9)) | (~always198(s9))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14971, 14970])).
% 12.66/8.96 tff(14973,plain,
% 12.66/8.96 (loop | (~always198(s9))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14972, 12530, 14969])).
% 12.66/8.96 tff(14974,plain,
% 12.66/8.96 (~always198(s9)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14973, 12517])).
% 12.66/8.96 tff(14975,plain,
% 12.66/8.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ((~trans(X, Y)) | (~always198(X)) | always198(Y)))),
% 12.66/8.96 inference(bind,[status(th)],[])).
% 12.66/8.96 tff(14976,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(quant_intro,[status(thm)],[14975])).
% 12.66/8.96 tff(14977,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14978,plain,
% 12.66/8.96 (^[Y: $i, X: $i] : rewrite(((always198(Y) | (~trans(X, Y))) | (~always198(X))) <=> ((~trans(X, Y)) | (~always198(X)) | always198(Y)))),
% 12.66/8.96 inference(bind,[status(th)],[])).
% 12.66/8.96 tff(14979,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((always198(Y) | (~trans(X, Y))) | (~always198(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(quant_intro,[status(thm)],[14978])).
% 12.66/8.96 tff(14980,axiom,(![Y: $i, X: $i] : ((always198(Y) | (~trans(X, Y))) | (~always198(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty44')).
% 12.66/8.96 tff(14981,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14980, 14979])).
% 12.66/8.96 tff(14982,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14981, 14977])).
% 12.66/8.96 tff(14983,plain,(
% 12.66/8.96 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(skolemize,[status(sab)],[14982])).
% 12.66/8.96 tff(14984,plain,
% 12.66/8.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14983, 14976])).
% 12.66/8.96 tff(14985,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (always198(s9) | (~trans(s8, s9)) | (~always198(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14986,plain,
% 12.66/8.96 (((~trans(s8, s9)) | (~always198(s8)) | always198(s9)) <=> (always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14987,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (always198(s9) | (~trans(s8, s9)) | (~always198(s8))))),
% 12.66/8.96 inference(monotonicity,[status(thm)],[14986])).
% 12.66/8.96 tff(14988,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8)))),
% 12.66/8.96 inference(transitivity,[status(thm)],[14987, 14985])).
% 12.66/8.96 tff(14989,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s8, s9)) | (~always198(s8)) | always198(s9))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14990,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | always198(s9) | (~trans(s8, s9)) | (~always198(s8))),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 12.66/8.96 tff(14991,plain,
% 12.66/8.96 (always198(s9) | (~always198(s8))),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14990, 14984, 4962])).
% 12.66/8.96 tff(14992,plain,
% 12.66/8.96 (~always198(s8)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14991, 14974])).
% 12.66/8.96 tff(14993,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s7, s8)) | (~always198(s7)) | always198(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s7, s8)) | (~always198(s7)) | always198(s8))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14994,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s7, s8)) | (~always198(s7)) | always198(s8))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(14995,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s7, s8)) | (~always198(s7)) | always198(s8)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 12.66/8.96 tff(14996,plain,
% 12.66/8.96 ((~always198(s7)) | always198(s8)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14995, 14984, 4830])).
% 12.66/8.96 tff(14997,plain,
% 12.66/8.96 (~always198(s7)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[14996, 14992])).
% 12.66/8.96 tff(14998,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s6, s7)) | (~always198(s6)) | always198(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s6, s7)) | (~always198(s6)) | always198(s7))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(14999,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s6, s7)) | (~always198(s6)) | always198(s7))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(15000,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s6, s7)) | (~always198(s6)) | always198(s7)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 12.66/8.96 tff(15001,plain,
% 12.66/8.96 ((~always198(s6)) | always198(s7)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15000, 14984, 2095])).
% 12.66/8.96 tff(15002,plain,
% 12.66/8.96 (~always198(s6)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15001, 14997])).
% 12.66/8.96 tff(15003,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s5, s6)) | (~always198(s5)) | always198(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s5, s6)) | (~always198(s5)) | always198(s6))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(15004,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s5, s6)) | (~always198(s5)) | always198(s6))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(15005,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s5, s6)) | (~always198(s5)) | always198(s6)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 12.66/8.96 tff(15006,plain,
% 12.66/8.96 ((~always198(s5)) | always198(s6)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15005, 14984, 14])).
% 12.66/8.96 tff(15007,plain,
% 12.66/8.96 (~always198(s5)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15006, 15002])).
% 12.66/8.96 tff(15008,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s4, s5)) | (~always198(s4)) | always198(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s4, s5)) | (~always198(s4)) | always198(s5))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(15009,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s4, s5)) | (~always198(s4)) | always198(s5))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(15010,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s4, s5)) | (~always198(s4)) | always198(s5)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 12.66/8.96 tff(15011,plain,
% 12.66/8.96 ((~always198(s4)) | always198(s5)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15010, 14984, 1043])).
% 12.66/8.96 tff(15012,plain,
% 12.66/8.96 (~always198(s4)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15011, 15007])).
% 12.66/8.96 tff(15013,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s3, s4)) | (~always198(s3)) | always198(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s3, s4)) | (~always198(s3)) | always198(s4))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(15014,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s3, s4)) | (~always198(s3)) | always198(s4))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(15015,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s3, s4)) | (~always198(s3)) | always198(s4)),
% 12.66/8.96 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 12.66/8.96 tff(15016,plain,
% 12.66/8.96 ((~always198(s3)) | always198(s4)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15015, 14984, 911])).
% 12.66/8.96 tff(15017,plain,
% 12.66/8.96 (~always198(s3)),
% 12.66/8.96 inference(unit_resolution,[status(thm)],[15016, 15012])).
% 12.66/8.96 tff(15018,plain,
% 12.66/8.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s2, s3)) | (~always198(s2)) | always198(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s2, s3)) | (~always198(s2)) | always198(s3))),
% 12.66/8.96 inference(rewrite,[status(thm)],[])).
% 12.66/8.96 tff(15019,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s2, s3)) | (~always198(s2)) | always198(s3))),
% 12.66/8.96 inference(quant_inst,[status(thm)],[])).
% 12.66/8.96 tff(15020,plain,
% 12.66/8.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s2, s3)) | (~always198(s2)) | always198(s3)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15019, 15018])).
% 12.66/8.97 tff(15021,plain,
% 12.66/8.97 ((~always198(s2)) | always198(s3)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15020, 14984, 480])).
% 12.66/8.97 tff(15022,plain,
% 12.66/8.97 (~always198(s2)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15021, 15017])).
% 12.66/8.97 tff(15023,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s1, s2)) | (~always198(s1)) | always198(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s1, s2)) | (~always198(s1)) | always198(s2))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15024,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s1, s2)) | (~always198(s1)) | always198(s2))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15025,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s1, s2)) | (~always198(s1)) | always198(s2)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 12.66/8.97 tff(15026,plain,
% 12.66/8.97 ((~always198(s1)) | always198(s2)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15025, 14984, 271])).
% 12.66/8.97 tff(15027,plain,
% 12.66/8.97 (~always198(s1)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15026, 15022])).
% 12.66/8.97 tff(15028,plain,
% 12.66/8.97 (^[X: $i] : refl((always198(X) | (~node199(X))) <=> (always198(X) | (~node199(X))))),
% 12.66/8.97 inference(bind,[status(th)],[])).
% 12.66/8.97 tff(15029,plain,
% 12.66/8.97 (![X: $i] : (always198(X) | (~node199(X))) <=> ![X: $i] : (always198(X) | (~node199(X)))),
% 12.66/8.97 inference(quant_intro,[status(thm)],[15028])).
% 12.66/8.97 tff(15030,plain,
% 12.66/8.97 (![X: $i] : (always198(X) | (~node199(X))) <=> ![X: $i] : (always198(X) | (~node199(X)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15031,axiom,(![X: $i] : (always198(X) | (~node199(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty48')).
% 12.66/8.97 tff(15032,plain,
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15031, 15030])).
% 12.66/8.97 tff(15033,plain,(
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% 12.66/8.97 inference(skolemize,[status(sab)],[15032])).
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15033, 15029])).
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% 12.66/8.97 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s1) | (~node199(s1)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s1) | (~node199(s1)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15036,plain,
% 12.66/8.97 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s1) | (~node199(s1)))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15037,plain,
% 12.66/8.97 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s1) | (~node199(s1))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 12.66/8.97 tff(15038,plain,
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15037, 15034, 15027])).
% 12.66/8.97 tff(15039,plain,
% 12.66/8.97 (^[X: $i] : refl((node199(X) | until251(X) | (~node255(X))) <=> (node199(X) | until251(X) | (~node255(X))))),
% 12.66/8.97 inference(bind,[status(th)],[])).
% 12.66/8.97 tff(15040,plain,
% 12.66/8.97 (![X: $i] : (node199(X) | until251(X) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.66/8.97 inference(quant_intro,[status(thm)],[15039])).
% 12.66/8.97 tff(15041,plain,
% 12.66/8.97 (![X: $i] : (node199(X) | until251(X) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15042,plain,
% 12.66/8.97 (^[X: $i] : rewrite(((node199(X) | until251(X)) | (~node255(X))) <=> (node199(X) | until251(X) | (~node255(X))))),
% 12.66/8.97 inference(bind,[status(th)],[])).
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% 12.66/8.97 (![X: $i] : ((node199(X) | until251(X)) | (~node255(X))) <=> ![X: $i] : (node199(X) | until251(X) | (~node255(X)))),
% 12.66/8.97 inference(quant_intro,[status(thm)],[15042])).
% 12.66/8.97 tff(15044,axiom,(![X: $i] : ((node199(X) | until251(X)) | (~node255(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty167')).
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15044, 15043])).
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15045, 15041])).
% 12.66/8.97 tff(15047,plain,(
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% 12.66/8.97 inference(skolemize,[status(sab)],[15046])).
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15047, 15040])).
% 12.66/8.97 tff(15049,plain,
% 12.66/8.97 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s1) | until251(s1) | (~node255(s1)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s1) | until251(s1) | (~node255(s1)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15050,plain,
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15051,plain,
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15050, 15049])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15051, 15048, 15038])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15052, 14959])).
% 12.66/8.97 tff(15054,plain,
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15056,plain,
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 12.66/8.97 tff(15057,plain,
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15056, 15034, 15022])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15059,plain,
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15060,plain,
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15059, 15058])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15060, 15048, 15057])).
% 12.66/8.97 tff(15062,plain,
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15061, 14748])).
% 12.66/8.97 tff(15063,plain,
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15065,plain,
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% 12.66/8.97 inference(modus_ponens,[status(thm)],[15064, 15063])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15065, 15034, 15017])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15070, 14736])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
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% 12.66/8.97 inference(quant_intro,[status(thm)],[15126])).
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% 12.66/8.97 inference(quant_intro,[status(thm)],[15129])).
% 12.66/8.97 tff(15131,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil257(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty170')).
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% 12.66/8.97 inference(bind,[status(th)],[])).
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% 12.66/8.97 tff(15146,axiom,(![X: $i] : ((node255(X) | xuntil257(X)) | (~until256(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty168')).
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% 12.66/8.97 inference(rewrite,[status(thm)],[])).
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% 12.66/8.97 inference(monotonicity,[status(thm)],[15175])).
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% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s8) | (~until256(s8)) | xuntil257(s8))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s8) | node255(s8) | (~until256(s8)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15176, 15174])).
% 12.66/8.97 tff(15178,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s8) | (~until256(s8)) | xuntil257(s8))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15179,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s8) | node255(s8) | (~until256(s8))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15178, 15177])).
% 12.66/8.97 tff(15180,plain,
% 12.66/8.97 (node255(s8) | (~until256(s8))),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15179, 15150, 15173])).
% 12.66/8.97 tff(15181,plain,
% 12.66/8.97 (~until256(s8)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15180, 15116])).
% 12.66/8.97 tff(15182,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15183,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15184,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s7, s8)) | (~xuntil257(s7)) | until256(s8)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15183, 15182])).
% 12.66/8.97 tff(15185,plain,
% 12.66/8.97 ((~xuntil257(s7)) | until256(s8)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15184, 4826, 15168])).
% 12.66/8.97 tff(15186,plain,
% 12.66/8.97 (~xuntil257(s7)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15185, 15181])).
% 12.66/8.97 tff(15187,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s7) | node255(s7) | (~until256(s7)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15188,plain,
% 12.66/8.97 ((node255(s7) | (~until256(s7)) | xuntil257(s7)) <=> (xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15189,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s7) | node255(s7) | (~until256(s7))))),
% 12.66/8.97 inference(monotonicity,[status(thm)],[15188])).
% 12.66/8.97 tff(15190,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15189, 15187])).
% 12.66/8.97 tff(15191,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s7) | (~until256(s7)) | xuntil257(s7))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15192,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s7) | node255(s7) | (~until256(s7))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 12.66/8.97 tff(15193,plain,
% 12.66/8.97 (node255(s7) | (~until256(s7))),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15192, 15150, 15186])).
% 12.66/8.97 tff(15194,plain,
% 12.66/8.97 (~until256(s7)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15193, 15107])).
% 12.66/8.97 tff(15195,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15196,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15197,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s6, s7)) | (~xuntil257(s6)) | until256(s7)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 12.66/8.97 tff(15198,plain,
% 12.66/8.97 ((~xuntil257(s6)) | until256(s7)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15197, 2091, 15168])).
% 12.66/8.97 tff(15199,plain,
% 12.66/8.97 (~xuntil257(s6)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15198, 15194])).
% 12.66/8.97 tff(15200,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s6) | node255(s6) | (~until256(s6)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15201,plain,
% 12.66/8.97 ((node255(s6) | (~until256(s6)) | xuntil257(s6)) <=> (xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15202,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s6) | node255(s6) | (~until256(s6))))),
% 12.66/8.97 inference(monotonicity,[status(thm)],[15201])).
% 12.66/8.97 tff(15203,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15202, 15200])).
% 12.66/8.97 tff(15204,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s6) | (~until256(s6)) | xuntil257(s6))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15205,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s6) | node255(s6) | (~until256(s6))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 12.66/8.97 tff(15206,plain,
% 12.66/8.97 (node255(s6) | (~until256(s6))),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15205, 15150, 15199])).
% 12.66/8.97 tff(15207,plain,
% 12.66/8.97 (~until256(s6)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15206, 15098])).
% 12.66/8.97 tff(15208,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15209,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15210,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s5, s6)) | (~xuntil257(s5)) | until256(s6)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15209, 15208])).
% 12.66/8.97 tff(15211,plain,
% 12.66/8.97 ((~xuntil257(s5)) | until256(s6)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15210, 10, 15168])).
% 12.66/8.97 tff(15212,plain,
% 12.66/8.97 (~xuntil257(s5)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15211, 15207])).
% 12.66/8.97 tff(15213,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s5) | node255(s5) | (~until256(s5)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15214,plain,
% 12.66/8.97 ((node255(s5) | (~until256(s5)) | xuntil257(s5)) <=> (xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15215,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s5) | node255(s5) | (~until256(s5))))),
% 12.66/8.97 inference(monotonicity,[status(thm)],[15214])).
% 12.66/8.97 tff(15216,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15215, 15213])).
% 12.66/8.97 tff(15217,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s5) | (~until256(s5)) | xuntil257(s5))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15218,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s5) | node255(s5) | (~until256(s5))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 12.66/8.97 tff(15219,plain,
% 12.66/8.97 (node255(s5) | (~until256(s5))),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15218, 15150, 15212])).
% 12.66/8.97 tff(15220,plain,
% 12.66/8.97 (~until256(s5)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15219, 15089])).
% 12.66/8.97 tff(15221,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15222,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15223,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s4, s5)) | (~xuntil257(s4)) | until256(s5)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15222, 15221])).
% 12.66/8.97 tff(15224,plain,
% 12.66/8.97 ((~xuntil257(s4)) | until256(s5)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15223, 1039, 15168])).
% 12.66/8.97 tff(15225,plain,
% 12.66/8.97 (~xuntil257(s4)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15224, 15220])).
% 12.66/8.97 tff(15226,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s4) | node255(s4) | (~until256(s4)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15227,plain,
% 12.66/8.97 ((node255(s4) | (~until256(s4)) | xuntil257(s4)) <=> (xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15228,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s4) | node255(s4) | (~until256(s4))))),
% 12.66/8.97 inference(monotonicity,[status(thm)],[15227])).
% 12.66/8.97 tff(15229,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15228, 15226])).
% 12.66/8.97 tff(15230,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s4) | (~until256(s4)) | xuntil257(s4))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15231,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s4) | node255(s4) | (~until256(s4))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 12.66/8.97 tff(15232,plain,
% 12.66/8.97 (node255(s4) | (~until256(s4))),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15231, 15150, 15225])).
% 12.66/8.97 tff(15233,plain,
% 12.66/8.97 (~until256(s4)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15232, 15080])).
% 12.66/8.97 tff(15234,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15235,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15236,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s3, s4)) | (~xuntil257(s3)) | until256(s4)),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 12.66/8.97 tff(15237,plain,
% 12.66/8.97 ((~xuntil257(s3)) | until256(s4)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15236, 907, 15168])).
% 12.66/8.97 tff(15238,plain,
% 12.66/8.97 (~xuntil257(s3)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15237, 15233])).
% 12.66/8.97 tff(15239,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s3) | node255(s3) | (~until256(s3)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15240,plain,
% 12.66/8.97 ((node255(s3) | (~until256(s3)) | xuntil257(s3)) <=> (xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15241,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s3) | (~until256(s3)) | xuntil257(s3))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s3) | node255(s3) | (~until256(s3))))),
% 12.66/8.97 inference(monotonicity,[status(thm)],[15240])).
% 12.66/8.97 tff(15242,plain,
% 12.66/8.97 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s3) | (~until256(s3)) | xuntil257(s3))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3)))),
% 12.66/8.97 inference(transitivity,[status(thm)],[15241, 15239])).
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% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15244,plain,
% 12.66/8.97 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s3) | node255(s3) | (~until256(s3))),
% 12.66/8.97 inference(modus_ponens,[status(thm)],[15243, 15242])).
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% 12.66/8.97 inference(unit_resolution,[status(thm)],[15244, 15150, 15238])).
% 12.66/8.97 tff(15246,plain,
% 12.66/8.97 (~until256(s3)),
% 12.66/8.97 inference(unit_resolution,[status(thm)],[15245, 15071])).
% 12.66/8.97 tff(15247,plain,
% 12.66/8.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))),
% 12.66/8.97 inference(rewrite,[status(thm)],[])).
% 12.66/8.97 tff(15248,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3))),
% 12.66/8.97 inference(quant_inst,[status(thm)],[])).
% 12.66/8.97 tff(15249,plain,
% 12.66/8.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s2, s3)) | (~xuntil257(s2)) | until256(s3)),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 12.66/8.98 tff(15250,plain,
% 12.66/8.98 ((~xuntil257(s2)) | until256(s3)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15249, 476, 15168])).
% 12.66/8.98 tff(15251,plain,
% 12.66/8.98 (~xuntil257(s2)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15250, 15246])).
% 12.66/8.98 tff(15252,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s2) | node255(s2) | (~until256(s2)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15253,plain,
% 12.66/8.98 ((node255(s2) | (~until256(s2)) | xuntil257(s2)) <=> (xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15254,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s2) | node255(s2) | (~until256(s2))))),
% 12.66/8.98 inference(monotonicity,[status(thm)],[15253])).
% 12.66/8.98 tff(15255,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2)))),
% 12.66/8.98 inference(transitivity,[status(thm)],[15254, 15252])).
% 12.66/8.98 tff(15256,plain,
% 12.66/8.98 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s2) | (~until256(s2)) | xuntil257(s2))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15257,plain,
% 12.66/8.98 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s2) | node255(s2) | (~until256(s2))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 12.66/8.98 tff(15258,plain,
% 12.66/8.98 (node255(s2) | (~until256(s2))),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15257, 15150, 15251])).
% 12.66/8.98 tff(15259,plain,
% 12.66/8.98 (~until256(s2)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15258, 15062])).
% 12.66/8.98 tff(15260,plain,
% 12.66/8.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15261,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15262,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | (~succ(s1, s2)) | (~xuntil257(s1)) | until256(s2)),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 12.66/8.98 tff(15263,plain,
% 12.66/8.98 ((~xuntil257(s1)) | until256(s2)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15262, 267, 15168])).
% 12.66/8.98 tff(15264,plain,
% 12.66/8.98 (~xuntil257(s1)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15263, 15259])).
% 12.66/8.98 tff(15265,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s1) | node255(s1) | (~until256(s1)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15266,plain,
% 12.66/8.98 ((node255(s1) | (~until256(s1)) | xuntil257(s1)) <=> (xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15267,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s1) | node255(s1) | (~until256(s1))))),
% 12.66/8.98 inference(monotonicity,[status(thm)],[15266])).
% 12.66/8.98 tff(15268,plain,
% 12.66/8.98 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1)))),
% 12.66/8.98 inference(transitivity,[status(thm)],[15267, 15265])).
% 12.66/8.98 tff(15269,plain,
% 12.66/8.98 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s1) | (~until256(s1)) | xuntil257(s1))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15270,plain,
% 12.66/8.98 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s1) | node255(s1) | (~until256(s1))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 12.66/8.98 tff(15271,plain,
% 12.66/8.98 (~until256(s1)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15270, 15150, 15264, 15053])).
% 12.66/8.98 tff(15272,plain,
% 12.66/8.98 (^[X: $i] : refl((loop | (~last(X)) | (~always196(X))) <=> (loop | (~last(X)) | (~always196(X))))),
% 12.66/8.98 inference(bind,[status(th)],[])).
% 12.66/8.98 tff(15273,plain,
% 12.66/8.98 (![X: $i] : (loop | (~last(X)) | (~always196(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.66/8.98 inference(quant_intro,[status(thm)],[15272])).
% 12.66/8.98 tff(15274,plain,
% 12.66/8.98 (![X: $i] : (loop | (~last(X)) | (~always196(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15275,plain,
% 12.66/8.98 (^[X: $i] : rewrite(((loop | (~always196(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always196(X))))),
% 12.66/8.98 inference(bind,[status(th)],[])).
% 12.66/8.98 tff(15276,plain,
% 12.66/8.98 (![X: $i] : ((loop | (~always196(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.66/8.98 inference(quant_intro,[status(thm)],[15275])).
% 12.66/8.98 tff(15277,axiom,(![X: $i] : ((loop | (~always196(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty38')).
% 12.66/8.98 tff(15278,plain,
% 12.66/8.98 (![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15277, 15276])).
% 12.66/8.98 tff(15279,plain,
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% 12.66/8.98 inference(modus_ponens,[status(thm)],[15278, 15274])).
% 12.66/8.98 tff(15280,plain,(
% 12.66/8.98 ![X: $i] : (loop | (~last(X)) | (~always196(X)))),
% 12.66/8.98 inference(skolemize,[status(sab)],[15279])).
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% 12.66/8.98 inference(modus_ponens,[status(thm)],[15280, 15273])).
% 12.66/8.98 tff(15282,plain,
% 12.66/8.98 (((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | (loop | (~last(s9)) | (~always196(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | loop | (~last(s9)) | (~always196(s9)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
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% 12.66/8.98 ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | (loop | (~last(s9)) | (~always196(s9)))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15284,plain,
% 12.66/8.98 ((~![X: $i] : (loop | (~last(X)) | (~always196(X)))) | loop | (~last(s9)) | (~always196(s9))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15283, 15282])).
% 12.66/8.98 tff(15285,plain,
% 12.66/8.98 (loop | (~always196(s9))),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15284, 12530, 15281])).
% 12.66/8.98 tff(15286,plain,
% 12.66/8.98 (~always196(s9)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15285, 12517])).
% 12.66/8.98 tff(15287,plain,
% 12.66/8.98 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ((~trans(X, Y)) | (~always196(X)) | always196(Y)))),
% 12.66/8.98 inference(bind,[status(th)],[])).
% 12.66/8.98 tff(15288,plain,
% 12.66/8.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.66/8.98 inference(quant_intro,[status(thm)],[15287])).
% 12.66/8.98 tff(15289,plain,
% 12.66/8.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15290,plain,
% 12.66/8.98 (^[Y: $i, X: $i] : rewrite(((always196(Y) | (~trans(X, Y))) | (~always196(X))) <=> ((~trans(X, Y)) | (~always196(X)) | always196(Y)))),
% 12.66/8.98 inference(bind,[status(th)],[])).
% 12.66/8.98 tff(15291,plain,
% 12.66/8.98 (![Y: $i, X: $i] : ((always196(Y) | (~trans(X, Y))) | (~always196(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.66/8.98 inference(quant_intro,[status(thm)],[15290])).
% 12.66/8.98 tff(15292,axiom,(![Y: $i, X: $i] : ((always196(Y) | (~trans(X, Y))) | (~always196(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty37')).
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% 12.66/8.98 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 12.66/8.98 tff(15294,plain,
% 12.66/8.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15293, 15289])).
% 12.66/8.98 tff(15295,plain,(
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% 12.66/8.98 inference(skolemize,[status(sab)],[15294])).
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% 12.66/8.98 inference(modus_ponens,[status(thm)],[15295, 15288])).
% 12.66/8.98 tff(15297,plain,
% 12.66/8.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (always196(s9) | (~trans(s8, s9)) | (~always196(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
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% 12.66/8.98 (((~trans(s8, s9)) | (~always196(s8)) | always196(s9)) <=> (always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
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% 12.66/8.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s8, s9)) | (~always196(s8)) | always196(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (always196(s9) | (~trans(s8, s9)) | (~always196(s8))))),
% 12.66/8.98 inference(monotonicity,[status(thm)],[15298])).
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% 12.66/8.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s8, s9)) | (~always196(s8)) | always196(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8)))),
% 12.66/8.98 inference(transitivity,[status(thm)],[15299, 15297])).
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% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15302,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | always196(s9) | (~trans(s8, s9)) | (~always196(s8))),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15301, 15300])).
% 12.66/8.98 tff(15303,plain,
% 12.66/8.98 (always196(s9) | (~always196(s8))),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15302, 15296, 4962])).
% 12.66/8.98 tff(15304,plain,
% 12.66/8.98 (~always196(s8)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15303, 15286])).
% 12.66/8.98 tff(15305,plain,
% 12.66/8.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s7, s8)) | (~always196(s7)) | always196(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s7, s8)) | (~always196(s7)) | always196(s8))),
% 12.66/8.98 inference(rewrite,[status(thm)],[])).
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% 12.66/8.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s7, s8)) | (~always196(s7)) | always196(s8))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15307,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s7, s8)) | (~always196(s7)) | always196(s8)),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 12.66/8.98 tff(15308,plain,
% 12.66/8.98 ((~always196(s7)) | always196(s8)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15307, 15296, 4830])).
% 12.66/8.98 tff(15309,plain,
% 12.66/8.98 (~always196(s7)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15308, 15304])).
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% 12.66/8.98 inference(rewrite,[status(thm)],[])).
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% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15312,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s6, s7)) | (~always196(s6)) | always196(s7)),
% 12.66/8.98 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 12.66/8.98 tff(15313,plain,
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% 12.66/8.98 inference(unit_resolution,[status(thm)],[15312, 15296, 2095])).
% 12.66/8.98 tff(15314,plain,
% 12.66/8.98 (~always196(s6)),
% 12.66/8.98 inference(unit_resolution,[status(thm)],[15313, 15309])).
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% 12.66/8.98 inference(rewrite,[status(thm)],[])).
% 12.66/8.98 tff(15316,plain,
% 12.66/8.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s5, s6)) | (~always196(s5)) | always196(s6))),
% 12.66/8.98 inference(quant_inst,[status(thm)],[])).
% 12.66/8.98 tff(15317,plain,
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% 12.66/8.98 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 12.66/8.98 tff(15318,plain,
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% 12.66/8.98 inference(unit_resolution,[status(thm)],[15317, 15296, 14])).
% 12.66/8.98 tff(15319,plain,
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15399, 15360, 15396])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15400, 15220])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15403, 15402])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15404, 15346, 15314])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15407, 15406])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15408, 15360, 15405])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15409, 15207])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15412, 15411])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15413, 15346, 15309])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
% 12.73/8.98 tff(15416,plain,
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
% 12.73/8.98 tff(15417,plain,
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15416, 15415])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15417, 15360, 15414])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15418, 15194])).
% 12.73/8.98 tff(15420,plain,
% 12.73/8.98 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s8) | (~node197(s8)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s8) | (~node197(s8)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
% 12.73/8.98 tff(15421,plain,
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
% 12.73/8.98 tff(15422,plain,
% 12.73/8.98 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s8) | (~node197(s8))),
% 12.73/8.98 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 12.73/8.98 tff(15423,plain,
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15422, 15346, 15304])).
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% 12.73/8.98 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s8) | until256(s8) | (~node260(s8)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s8) | until256(s8) | (~node260(s8)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
% 12.73/8.98 tff(15425,plain,
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
% 12.73/8.98 tff(15426,plain,
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 12.73/8.98 tff(15427,plain,
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15426, 15360, 15423])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15427, 15181])).
% 12.73/8.98 tff(15429,plain,
% 12.73/8.98 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s9) | (~node197(s9)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s9) | (~node197(s9)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
% 12.73/8.98 tff(15431,plain,
% 12.73/8.98 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s9) | (~node197(s9))),
% 12.73/8.98 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 12.73/8.98 tff(15432,plain,
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15431, 15346, 15286])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
% 12.73/8.98 tff(15435,plain,
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 12.73/8.98 tff(15436,plain,
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15435, 15360, 15432])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15436, 15158])).
% 12.73/8.98 tff(15438,plain,
% 12.73/8.98 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil262(X))) <=> (loop | (~last(X)) | (~xuntil262(X))))),
% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.73/8.98 inference(quant_intro,[status(thm)],[15438])).
% 12.73/8.98 tff(15440,plain,
% 12.73/8.98 (![X: $i] : (loop | (~last(X)) | (~xuntil262(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil262(X)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil262(X))) <=> (loop | (~last(X)) | (~xuntil262(X))))),
% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 inference(quant_intro,[status(thm)],[15441])).
% 12.73/8.98 tff(15443,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil262(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty178')).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15444, 15440])).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15446, 15439])).
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% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15451, 12517])).
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% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X)) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.73/8.98 inference(quant_intro,[status(thm)],[15453])).
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% 12.73/8.98 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X)) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 (^[X: $i] : rewrite(((node260(X) | xuntil262(X)) | (~until261(X))) <=> (node260(X) | (~until261(X)) | xuntil262(X)))),
% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 (![X: $i] : ((node260(X) | xuntil262(X)) | (~until261(X))) <=> ![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
% 12.73/8.98 inference(quant_intro,[status(thm)],[15456])).
% 12.73/8.98 tff(15458,axiom,(![X: $i] : ((node260(X) | xuntil262(X)) | (~until261(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty176')).
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15458, 15457])).
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% 12.73/8.98 (![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))),
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% 12.73/8.98 inference(modus_ponens,[status(thm)],[15461, 15454])).
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% 12.73/8.98 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s9) | node260(s9) | (~until261(s9)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 ((node260(s9) | (~until261(s9)) | xuntil262(s9)) <=> (xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s9) | (~until261(s9)) | xuntil262(s9))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s9) | node260(s9) | (~until261(s9))))),
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% 12.73/8.98 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s9) | (~until261(s9)) | xuntil262(s9))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9)))),
% 12.73/8.98 inference(transitivity,[status(thm)],[15465, 15463])).
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% 12.73/8.98 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.98 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s9) | node260(s9) | (~until261(s9))),
% 12.73/8.98 inference(modus_ponens,[status(thm)],[15467, 15466])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15468, 15462, 15452])).
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% 12.73/8.98 inference(unit_resolution,[status(thm)],[15469, 15437])).
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% 12.73/8.98 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)) <=> ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)))),
% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 inference(quant_intro,[status(thm)],[15471])).
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% 12.73/8.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
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% 12.73/8.98 (^[Y: $i, X: $i] : rewrite(((until261(Y) | (~succ(X, Y))) | (~xuntil262(X))) <=> ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y)))),
% 12.73/8.98 inference(bind,[status(th)],[])).
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% 12.73/8.98 (![Y: $i, X: $i] : ((until261(Y) | (~succ(X, Y))) | (~xuntil262(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.73/8.98 inference(quant_intro,[status(thm)],[15474])).
% 12.73/8.98 tff(15476,axiom,(![Y: $i, X: $i] : ((until261(Y) | (~succ(X, Y))) | (~xuntil262(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty177')).
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% 12.73/8.98 inference(skolemize,[status(sab)],[15478])).
% 12.73/8.98 tff(15480,plain,
% 12.73/8.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))),
% 12.73/8.98 inference(modus_ponens,[status(thm)],[15479, 15472])).
% 12.73/8.98 tff(15481,plain,
% 12.73/8.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))),
% 12.73/8.98 inference(rewrite,[status(thm)],[])).
% 12.73/8.98 tff(15482,plain,
% 12.73/8.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15483,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s8, s9)) | (~xuntil262(s8)) | until261(s9)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 12.73/8.99 tff(15484,plain,
% 12.73/8.99 ((~xuntil262(s8)) | until261(s9)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15483, 4958, 15480])).
% 12.73/8.99 tff(15485,plain,
% 12.73/8.99 (~xuntil262(s8)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15484, 15470])).
% 12.73/8.99 tff(15486,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s8) | node260(s8) | (~until261(s8)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15487,plain,
% 12.73/8.99 ((node260(s8) | (~until261(s8)) | xuntil262(s8)) <=> (xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15488,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s8) | node260(s8) | (~until261(s8))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15487])).
% 12.73/8.99 tff(15489,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15488, 15486])).
% 12.73/8.99 tff(15490,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s8) | (~until261(s8)) | xuntil262(s8))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15491,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s8) | node260(s8) | (~until261(s8))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 12.73/8.99 tff(15492,plain,
% 12.73/8.99 (node260(s8) | (~until261(s8))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15491, 15462, 15485])).
% 12.73/8.99 tff(15493,plain,
% 12.73/8.99 (~until261(s8)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15492, 15428])).
% 12.73/8.99 tff(15494,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15495,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15496,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s7, s8)) | (~xuntil262(s7)) | until261(s8)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 12.73/8.99 tff(15497,plain,
% 12.73/8.99 ((~xuntil262(s7)) | until261(s8)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15496, 4826, 15480])).
% 12.73/8.99 tff(15498,plain,
% 12.73/8.99 (~xuntil262(s7)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15497, 15493])).
% 12.73/8.99 tff(15499,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s7) | node260(s7) | (~until261(s7)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15500,plain,
% 12.73/8.99 ((node260(s7) | (~until261(s7)) | xuntil262(s7)) <=> (xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15501,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s7) | node260(s7) | (~until261(s7))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15500])).
% 12.73/8.99 tff(15502,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15501, 15499])).
% 12.73/8.99 tff(15503,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s7) | (~until261(s7)) | xuntil262(s7))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15504,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s7) | node260(s7) | (~until261(s7))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 12.73/8.99 tff(15505,plain,
% 12.73/8.99 (node260(s7) | (~until261(s7))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15504, 15462, 15498])).
% 12.73/8.99 tff(15506,plain,
% 12.73/8.99 (~until261(s7)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15505, 15419])).
% 12.73/8.99 tff(15507,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15508,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15509,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s6, s7)) | (~xuntil262(s6)) | until261(s7)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 12.73/8.99 tff(15510,plain,
% 12.73/8.99 ((~xuntil262(s6)) | until261(s7)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15509, 2091, 15480])).
% 12.73/8.99 tff(15511,plain,
% 12.73/8.99 (~xuntil262(s6)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15510, 15506])).
% 12.73/8.99 tff(15512,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s6) | node260(s6) | (~until261(s6)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15513,plain,
% 12.73/8.99 ((node260(s6) | (~until261(s6)) | xuntil262(s6)) <=> (xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15514,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s6) | node260(s6) | (~until261(s6))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15513])).
% 12.73/8.99 tff(15515,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15514, 15512])).
% 12.73/8.99 tff(15516,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s6) | (~until261(s6)) | xuntil262(s6))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15517,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s6) | node260(s6) | (~until261(s6))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 12.73/8.99 tff(15518,plain,
% 12.73/8.99 (node260(s6) | (~until261(s6))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15517, 15462, 15511])).
% 12.73/8.99 tff(15519,plain,
% 12.73/8.99 (~until261(s6)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15518, 15410])).
% 12.73/8.99 tff(15520,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15521,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15522,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s5, s6)) | (~xuntil262(s5)) | until261(s6)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 12.73/8.99 tff(15523,plain,
% 12.73/8.99 ((~xuntil262(s5)) | until261(s6)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15522, 10, 15480])).
% 12.73/8.99 tff(15524,plain,
% 12.73/8.99 (~xuntil262(s5)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15523, 15519])).
% 12.73/8.99 tff(15525,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s5) | node260(s5) | (~until261(s5)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15526,plain,
% 12.73/8.99 ((node260(s5) | (~until261(s5)) | xuntil262(s5)) <=> (xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15527,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s5) | node260(s5) | (~until261(s5))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15526])).
% 12.73/8.99 tff(15528,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15527, 15525])).
% 12.73/8.99 tff(15529,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s5) | (~until261(s5)) | xuntil262(s5))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15530,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s5) | node260(s5) | (~until261(s5))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15529, 15528])).
% 12.73/8.99 tff(15531,plain,
% 12.73/8.99 (node260(s5) | (~until261(s5))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15530, 15462, 15524])).
% 12.73/8.99 tff(15532,plain,
% 12.73/8.99 (~until261(s5)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15531, 15401])).
% 12.73/8.99 tff(15533,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15534,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15535,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s4, s5)) | (~xuntil262(s4)) | until261(s5)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 12.73/8.99 tff(15536,plain,
% 12.73/8.99 ((~xuntil262(s4)) | until261(s5)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15535, 1039, 15480])).
% 12.73/8.99 tff(15537,plain,
% 12.73/8.99 (~xuntil262(s4)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15536, 15532])).
% 12.73/8.99 tff(15538,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s4) | node260(s4) | (~until261(s4)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15539,plain,
% 12.73/8.99 ((node260(s4) | (~until261(s4)) | xuntil262(s4)) <=> (xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15540,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s4) | node260(s4) | (~until261(s4))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15539])).
% 12.73/8.99 tff(15541,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15540, 15538])).
% 12.73/8.99 tff(15542,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s4) | (~until261(s4)) | xuntil262(s4))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15543,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s4) | node260(s4) | (~until261(s4))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 12.73/8.99 tff(15544,plain,
% 12.73/8.99 (node260(s4) | (~until261(s4))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15543, 15462, 15537])).
% 12.73/8.99 tff(15545,plain,
% 12.73/8.99 (~until261(s4)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15544, 15392])).
% 12.73/8.99 tff(15546,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15547,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15548,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s3, s4)) | (~xuntil262(s3)) | until261(s4)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 12.73/8.99 tff(15549,plain,
% 12.73/8.99 ((~xuntil262(s3)) | until261(s4)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15548, 907, 15480])).
% 12.73/8.99 tff(15550,plain,
% 12.73/8.99 (~xuntil262(s3)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15549, 15545])).
% 12.73/8.99 tff(15551,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s3) | node260(s3) | (~until261(s3)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15552,plain,
% 12.73/8.99 ((node260(s3) | (~until261(s3)) | xuntil262(s3)) <=> (xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15553,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s3) | node260(s3) | (~until261(s3))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15552])).
% 12.73/8.99 tff(15554,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15553, 15551])).
% 12.73/8.99 tff(15555,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s3) | (~until261(s3)) | xuntil262(s3))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15556,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s3) | node260(s3) | (~until261(s3))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 12.73/8.99 tff(15557,plain,
% 12.73/8.99 (node260(s3) | (~until261(s3))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15556, 15462, 15550])).
% 12.73/8.99 tff(15558,plain,
% 12.73/8.99 (~until261(s3)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15557, 15383])).
% 12.73/8.99 tff(15559,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15560,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15561,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s2, s3)) | (~xuntil262(s2)) | until261(s3)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 12.73/8.99 tff(15562,plain,
% 12.73/8.99 ((~xuntil262(s2)) | until261(s3)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15561, 476, 15480])).
% 12.73/8.99 tff(15563,plain,
% 12.73/8.99 (~xuntil262(s2)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15562, 15558])).
% 12.73/8.99 tff(15564,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s2) | node260(s2) | (~until261(s2)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15565,plain,
% 12.73/8.99 ((node260(s2) | (~until261(s2)) | xuntil262(s2)) <=> (xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15566,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s2) | node260(s2) | (~until261(s2))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15565])).
% 12.73/8.99 tff(15567,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15566, 15564])).
% 12.73/8.99 tff(15568,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s2) | (~until261(s2)) | xuntil262(s2))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15569,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s2) | node260(s2) | (~until261(s2))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 12.73/8.99 tff(15570,plain,
% 12.73/8.99 (node260(s2) | (~until261(s2))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15569, 15462, 15563])).
% 12.73/8.99 tff(15571,plain,
% 12.73/8.99 (~until261(s2)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15570, 15374])).
% 12.73/8.99 tff(15572,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15573,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15574,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s1, s2)) | (~xuntil262(s1)) | until261(s2)),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 12.73/8.99 tff(15575,plain,
% 12.73/8.99 ((~xuntil262(s1)) | until261(s2)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15574, 267, 15480])).
% 12.73/8.99 tff(15576,plain,
% 12.73/8.99 (~xuntil262(s1)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15575, 15571])).
% 12.73/8.99 tff(15577,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s1) | node260(s1) | (~until261(s1)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15578,plain,
% 12.73/8.99 ((node260(s1) | (~until261(s1)) | xuntil262(s1)) <=> (xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15579,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s1) | node260(s1) | (~until261(s1))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15578])).
% 12.73/8.99 tff(15580,plain,
% 12.73/8.99 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15579, 15577])).
% 12.73/8.99 tff(15581,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s1) | (~until261(s1)) | xuntil262(s1))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15582,plain,
% 12.73/8.99 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s1) | node260(s1) | (~until261(s1))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 12.73/8.99 tff(15583,plain,
% 12.73/8.99 (node260(s1) | (~until261(s1))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15582, 15462, 15576])).
% 12.73/8.99 tff(15584,plain,
% 12.73/8.99 (~until261(s1)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15583, 15365])).
% 12.73/8.99 tff(15585,plain,
% 12.73/8.99 (^[X: $i] : refl((loop | (~last(X)) | (~always194(X))) <=> (loop | (~last(X)) | (~always194(X))))),
% 12.73/8.99 inference(bind,[status(th)],[])).
% 12.73/8.99 tff(15586,plain,
% 12.73/8.99 (![X: $i] : (loop | (~last(X)) | (~always194(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(quant_intro,[status(thm)],[15585])).
% 12.73/8.99 tff(15587,plain,
% 12.73/8.99 (![X: $i] : (loop | (~last(X)) | (~always194(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15588,plain,
% 12.73/8.99 (^[X: $i] : rewrite(((loop | (~always194(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always194(X))))),
% 12.73/8.99 inference(bind,[status(th)],[])).
% 12.73/8.99 tff(15589,plain,
% 12.73/8.99 (![X: $i] : ((loop | (~always194(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(quant_intro,[status(thm)],[15588])).
% 12.73/8.99 tff(15590,axiom,(![X: $i] : ((loop | (~always194(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty31')).
% 12.73/8.99 tff(15591,plain,
% 12.73/8.99 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 12.73/8.99 tff(15592,plain,
% 12.73/8.99 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15591, 15587])).
% 12.73/8.99 tff(15593,plain,(
% 12.73/8.99 ![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(skolemize,[status(sab)],[15592])).
% 12.73/8.99 tff(15594,plain,
% 12.73/8.99 (![X: $i] : (loop | (~last(X)) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15593, 15586])).
% 12.73/8.99 tff(15595,plain,
% 12.73/8.99 (((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | (loop | (~last(s9)) | (~always194(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | loop | (~last(s9)) | (~always194(s9)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15596,plain,
% 12.73/8.99 ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | (loop | (~last(s9)) | (~always194(s9)))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15597,plain,
% 12.73/8.99 ((~![X: $i] : (loop | (~last(X)) | (~always194(X)))) | loop | (~last(s9)) | (~always194(s9))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15596, 15595])).
% 12.73/8.99 tff(15598,plain,
% 12.73/8.99 (loop | (~always194(s9))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15597, 12530, 15594])).
% 12.73/8.99 tff(15599,plain,
% 12.73/8.99 (~always194(s9)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15598, 12517])).
% 12.73/8.99 tff(15600,plain,
% 12.73/8.99 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ((~trans(X, Y)) | always194(Y) | (~always194(X))))),
% 12.73/8.99 inference(bind,[status(th)],[])).
% 12.73/8.99 tff(15601,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(quant_intro,[status(thm)],[15600])).
% 12.73/8.99 tff(15602,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15603,plain,
% 12.73/8.99 (^[Y: $i, X: $i] : rewrite(((always194(Y) | (~trans(X, Y))) | (~always194(X))) <=> ((~trans(X, Y)) | always194(Y) | (~always194(X))))),
% 12.73/8.99 inference(bind,[status(th)],[])).
% 12.73/8.99 tff(15604,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((always194(Y) | (~trans(X, Y))) | (~always194(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(quant_intro,[status(thm)],[15603])).
% 12.73/8.99 tff(15605,axiom,(![Y: $i, X: $i] : ((always194(Y) | (~trans(X, Y))) | (~always194(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty30')).
% 12.73/8.99 tff(15606,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 12.73/8.99 tff(15607,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15606, 15602])).
% 12.73/8.99 tff(15608,plain,(
% 12.73/8.99 ![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(skolemize,[status(sab)],[15607])).
% 12.73/8.99 tff(15609,plain,
% 12.73/8.99 (![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15608, 15601])).
% 12.73/8.99 tff(15610,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (always194(s9) | (~trans(s8, s9)) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15611,plain,
% 12.73/8.99 (((~trans(s8, s9)) | always194(s9) | (~always194(s8))) <=> (always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15612,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (always194(s9) | (~trans(s8, s9)) | (~always194(s8))))),
% 12.73/8.99 inference(monotonicity,[status(thm)],[15611])).
% 12.73/8.99 tff(15613,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8)))),
% 12.73/8.99 inference(transitivity,[status(thm)],[15612, 15610])).
% 12.73/8.99 tff(15614,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s8, s9)) | always194(s9) | (~always194(s8)))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15615,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | always194(s9) | (~trans(s8, s9)) | (~always194(s8))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 12.73/8.99 tff(15616,plain,
% 12.73/8.99 (always194(s9) | (~always194(s8))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15615, 15609, 4962])).
% 12.73/8.99 tff(15617,plain,
% 12.73/8.99 (~always194(s8)),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15616, 15599])).
% 12.73/8.99 tff(15618,plain,
% 12.73/8.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s7, s8)) | always194(s8) | (~always194(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s7, s8)) | always194(s8) | (~always194(s7)))),
% 12.73/8.99 inference(rewrite,[status(thm)],[])).
% 12.73/8.99 tff(15619,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s7, s8)) | always194(s8) | (~always194(s7)))),
% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
% 12.73/8.99 tff(15620,plain,
% 12.73/8.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s7, s8)) | always194(s8) | (~always194(s7))),
% 12.73/8.99 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 12.73/8.99 tff(15621,plain,
% 12.73/8.99 (always194(s8) | (~always194(s7))),
% 12.73/8.99 inference(unit_resolution,[status(thm)],[15620, 15609, 4830])).
% 12.73/8.99 tff(15622,plain,
% 12.73/8.99 (~always194(s7)),
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% 12.73/8.99 inference(rewrite,[status(thm)],[])).
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% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.99 inference(unit_resolution,[status(thm)],[15625, 15609, 2095])).
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% 12.73/8.99 inference(unit_resolution,[status(thm)],[15626, 15622])).
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% 12.73/8.99 inference(rewrite,[status(thm)],[])).
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% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.99 inference(unit_resolution,[status(thm)],[15631, 15627])).
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% 12.73/8.99 inference(rewrite,[status(thm)],[])).
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% 12.73/8.99 inference(quant_inst,[status(thm)],[])).
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% 12.73/8.99 inference(unit_resolution,[status(thm)],[15635, 15609, 1043])).
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% 12.73/8.99 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(quant_inst,[status(thm)],[])).
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% 12.73/9.00 inference(modus_ponens,[status(thm)],[15720, 15719])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(quant_inst,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(quant_inst,[status(thm)],[])).
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% 12.73/9.00 inference(modus_ponens,[status(thm)],[15729, 15728])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(quant_inst,[status(thm)],[])).
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% 12.73/9.00 inference(modus_ponens,[status(thm)],[15738, 15737])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(rewrite,[status(thm)],[])).
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% 12.73/9.00 inference(quant_intro,[status(thm)],[15754])).
% 12.73/9.00 tff(15756,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil267(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty186')).
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% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15781,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s9) | node265(s9) | (~until266(s9))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 12.75/9.00 tff(15782,plain,
% 12.75/9.00 (node265(s9) | (~until266(s9))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15781, 15775, 15765])).
% 12.75/9.00 tff(15783,plain,
% 12.75/9.00 (~until266(s9)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15782, 15750])).
% 12.75/9.00 tff(15784,plain,
% 12.75/9.00 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)))),
% 12.75/9.00 inference(bind,[status(th)],[])).
% 12.75/9.00 tff(15785,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(quant_intro,[status(thm)],[15784])).
% 12.75/9.00 tff(15786,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15787,plain,
% 12.75/9.00 (^[Y: $i, X: $i] : rewrite(((until266(Y) | (~succ(X, Y))) | (~xuntil267(X))) <=> ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y)))),
% 12.75/9.00 inference(bind,[status(th)],[])).
% 12.75/9.00 tff(15788,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((until266(Y) | (~succ(X, Y))) | (~xuntil267(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(quant_intro,[status(thm)],[15787])).
% 12.75/9.00 tff(15789,axiom,(![Y: $i, X: $i] : ((until266(Y) | (~succ(X, Y))) | (~xuntil267(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty185')).
% 12.75/9.00 tff(15790,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 12.75/9.00 tff(15791,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15790, 15786])).
% 12.75/9.00 tff(15792,plain,(
% 12.75/9.00 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(skolemize,[status(sab)],[15791])).
% 12.75/9.00 tff(15793,plain,
% 12.75/9.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15792, 15785])).
% 12.75/9.00 tff(15794,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15795,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15796,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s8, s9)) | (~xuntil267(s8)) | until266(s9)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 12.75/9.00 tff(15797,plain,
% 12.75/9.00 ((~xuntil267(s8)) | until266(s9)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15796, 4958, 15793])).
% 12.75/9.00 tff(15798,plain,
% 12.75/9.00 (~xuntil267(s8)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15797, 15783])).
% 12.75/9.00 tff(15799,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s8) | node265(s8) | (~until266(s8)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15800,plain,
% 12.75/9.00 ((node265(s8) | (~until266(s8)) | xuntil267(s8)) <=> (xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15801,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s8) | node265(s8) | (~until266(s8))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15800])).
% 12.75/9.00 tff(15802,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15801, 15799])).
% 12.75/9.00 tff(15803,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s8) | (~until266(s8)) | xuntil267(s8))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15804,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s8) | node265(s8) | (~until266(s8))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 12.75/9.00 tff(15805,plain,
% 12.75/9.00 (node265(s8) | (~until266(s8))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15804, 15775, 15798])).
% 12.75/9.00 tff(15806,plain,
% 12.75/9.00 (~until266(s8)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15805, 15741])).
% 12.75/9.00 tff(15807,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15808,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15809,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s7, s8)) | (~xuntil267(s7)) | until266(s8)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 12.75/9.00 tff(15810,plain,
% 12.75/9.00 ((~xuntil267(s7)) | until266(s8)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15809, 4826, 15793])).
% 12.75/9.00 tff(15811,plain,
% 12.75/9.00 (~xuntil267(s7)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15810, 15806])).
% 12.75/9.00 tff(15812,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s7) | node265(s7) | (~until266(s7)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15813,plain,
% 12.75/9.00 ((node265(s7) | (~until266(s7)) | xuntil267(s7)) <=> (xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15814,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s7) | node265(s7) | (~until266(s7))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15813])).
% 12.75/9.00 tff(15815,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15814, 15812])).
% 12.75/9.00 tff(15816,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s7) | (~until266(s7)) | xuntil267(s7))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15817,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s7) | node265(s7) | (~until266(s7))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15816, 15815])).
% 12.75/9.00 tff(15818,plain,
% 12.75/9.00 (node265(s7) | (~until266(s7))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15817, 15775, 15811])).
% 12.75/9.00 tff(15819,plain,
% 12.75/9.00 (~until266(s7)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15818, 15732])).
% 12.75/9.00 tff(15820,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15821,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15822,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s6, s7)) | (~xuntil267(s6)) | until266(s7)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15821, 15820])).
% 12.75/9.00 tff(15823,plain,
% 12.75/9.00 ((~xuntil267(s6)) | until266(s7)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15822, 2091, 15793])).
% 12.75/9.00 tff(15824,plain,
% 12.75/9.00 (~xuntil267(s6)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15823, 15819])).
% 12.75/9.00 tff(15825,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s6) | node265(s6) | (~until266(s6)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15826,plain,
% 12.75/9.00 ((node265(s6) | (~until266(s6)) | xuntil267(s6)) <=> (xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15827,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s6) | node265(s6) | (~until266(s6))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15826])).
% 12.75/9.00 tff(15828,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15827, 15825])).
% 12.75/9.00 tff(15829,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s6) | (~until266(s6)) | xuntil267(s6))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15830,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s6) | node265(s6) | (~until266(s6))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 12.75/9.00 tff(15831,plain,
% 12.75/9.00 (node265(s6) | (~until266(s6))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15830, 15775, 15824])).
% 12.75/9.00 tff(15832,plain,
% 12.75/9.00 (~until266(s6)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15831, 15723])).
% 12.75/9.00 tff(15833,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15834,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15835,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s5, s6)) | (~xuntil267(s5)) | until266(s6)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 12.75/9.00 tff(15836,plain,
% 12.75/9.00 ((~xuntil267(s5)) | until266(s6)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15835, 10, 15793])).
% 12.75/9.00 tff(15837,plain,
% 12.75/9.00 (~xuntil267(s5)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15836, 15832])).
% 12.75/9.00 tff(15838,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s5) | node265(s5) | (~until266(s5)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15839,plain,
% 12.75/9.00 ((node265(s5) | (~until266(s5)) | xuntil267(s5)) <=> (xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15840,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s5) | node265(s5) | (~until266(s5))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15839])).
% 12.75/9.00 tff(15841,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15840, 15838])).
% 12.75/9.00 tff(15842,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s5) | (~until266(s5)) | xuntil267(s5))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15843,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s5) | node265(s5) | (~until266(s5))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15842, 15841])).
% 12.75/9.00 tff(15844,plain,
% 12.75/9.00 (node265(s5) | (~until266(s5))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15843, 15775, 15837])).
% 12.75/9.00 tff(15845,plain,
% 12.75/9.00 (~until266(s5)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15844, 15714])).
% 12.75/9.00 tff(15846,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15847,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15848,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s4, s5)) | (~xuntil267(s4)) | until266(s5)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 12.75/9.00 tff(15849,plain,
% 12.75/9.00 ((~xuntil267(s4)) | until266(s5)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15848, 1039, 15793])).
% 12.75/9.00 tff(15850,plain,
% 12.75/9.00 (~xuntil267(s4)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15849, 15845])).
% 12.75/9.00 tff(15851,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s4) | node265(s4) | (~until266(s4)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15852,plain,
% 12.75/9.00 ((node265(s4) | (~until266(s4)) | xuntil267(s4)) <=> (xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15853,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s4) | node265(s4) | (~until266(s4))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15852])).
% 12.75/9.00 tff(15854,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15853, 15851])).
% 12.75/9.00 tff(15855,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s4) | (~until266(s4)) | xuntil267(s4))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15856,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s4) | node265(s4) | (~until266(s4))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 12.75/9.00 tff(15857,plain,
% 12.75/9.00 (node265(s4) | (~until266(s4))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15856, 15775, 15850])).
% 12.75/9.00 tff(15858,plain,
% 12.75/9.00 (~until266(s4)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15857, 15705])).
% 12.75/9.00 tff(15859,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15860,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15861,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s3, s4)) | (~xuntil267(s3)) | until266(s4)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 12.75/9.00 tff(15862,plain,
% 12.75/9.00 ((~xuntil267(s3)) | until266(s4)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15861, 907, 15793])).
% 12.75/9.00 tff(15863,plain,
% 12.75/9.00 (~xuntil267(s3)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15862, 15858])).
% 12.75/9.00 tff(15864,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s3) | node265(s3) | (~until266(s3)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15865,plain,
% 12.75/9.00 ((node265(s3) | (~until266(s3)) | xuntil267(s3)) <=> (xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15866,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s3) | node265(s3) | (~until266(s3))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15865])).
% 12.75/9.00 tff(15867,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3)))),
% 12.75/9.00 inference(transitivity,[status(thm)],[15866, 15864])).
% 12.75/9.00 tff(15868,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s3) | (~until266(s3)) | xuntil267(s3))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15869,plain,
% 12.75/9.00 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s3) | node265(s3) | (~until266(s3))),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 12.75/9.00 tff(15870,plain,
% 12.75/9.00 (node265(s3) | (~until266(s3))),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15869, 15775, 15863])).
% 12.75/9.00 tff(15871,plain,
% 12.75/9.00 (~until266(s3)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15870, 15696])).
% 12.75/9.00 tff(15872,plain,
% 12.75/9.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15873,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3))),
% 12.75/9.00 inference(quant_inst,[status(thm)],[])).
% 12.75/9.00 tff(15874,plain,
% 12.75/9.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s2, s3)) | (~xuntil267(s2)) | until266(s3)),
% 12.75/9.00 inference(modus_ponens,[status(thm)],[15873, 15872])).
% 12.75/9.00 tff(15875,plain,
% 12.75/9.00 ((~xuntil267(s2)) | until266(s3)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15874, 476, 15793])).
% 12.75/9.00 tff(15876,plain,
% 12.75/9.00 (~xuntil267(s2)),
% 12.75/9.00 inference(unit_resolution,[status(thm)],[15875, 15871])).
% 12.75/9.00 tff(15877,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s2) | node265(s2) | (~until266(s2)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15878,plain,
% 12.75/9.00 ((node265(s2) | (~until266(s2)) | xuntil267(s2)) <=> (xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.75/9.00 inference(rewrite,[status(thm)],[])).
% 12.75/9.00 tff(15879,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s2) | node265(s2) | (~until266(s2))))),
% 12.75/9.00 inference(monotonicity,[status(thm)],[15878])).
% 12.75/9.00 tff(15880,plain,
% 12.75/9.00 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2)))),
% 12.75/9.01 inference(transitivity,[status(thm)],[15879, 15877])).
% 12.75/9.01 tff(15881,plain,
% 12.75/9.01 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s2) | (~until266(s2)) | xuntil267(s2))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15882,plain,
% 12.75/9.01 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s2) | node265(s2) | (~until266(s2))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15881, 15880])).
% 12.75/9.01 tff(15883,plain,
% 12.75/9.01 (node265(s2) | (~until266(s2))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15882, 15775, 15876])).
% 12.75/9.01 tff(15884,plain,
% 12.75/9.01 (~until266(s2)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15883, 15687])).
% 12.75/9.01 tff(15885,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15886,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15887,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s1, s2)) | (~xuntil267(s1)) | until266(s2)),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 12.75/9.01 tff(15888,plain,
% 12.75/9.01 ((~xuntil267(s1)) | until266(s2)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15887, 267, 15793])).
% 12.75/9.01 tff(15889,plain,
% 12.75/9.01 (~xuntil267(s1)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15888, 15884])).
% 12.75/9.01 tff(15890,plain,
% 12.75/9.01 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s1) | node265(s1) | (~until266(s1)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15891,plain,
% 12.75/9.01 ((node265(s1) | (~until266(s1)) | xuntil267(s1)) <=> (xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15892,plain,
% 12.75/9.01 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s1) | node265(s1) | (~until266(s1))))),
% 12.75/9.01 inference(monotonicity,[status(thm)],[15891])).
% 12.75/9.01 tff(15893,plain,
% 12.75/9.01 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1)))),
% 12.75/9.01 inference(transitivity,[status(thm)],[15892, 15890])).
% 12.75/9.01 tff(15894,plain,
% 12.75/9.01 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s1) | (~until266(s1)) | xuntil267(s1))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15895,plain,
% 12.75/9.01 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s1) | node265(s1) | (~until266(s1))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 12.75/9.01 tff(15896,plain,
% 12.75/9.01 (node265(s1) | (~until266(s1))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15895, 15775, 15889])).
% 12.75/9.01 tff(15897,plain,
% 12.75/9.01 (~until266(s1)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15896, 15678])).
% 12.75/9.01 tff(15898,plain,
% 12.75/9.01 (^[X: $i] : refl((loop | (~last(X)) | (~always192(X))) <=> (loop | (~last(X)) | (~always192(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15899,plain,
% 12.75/9.01 (![X: $i] : (loop | (~last(X)) | (~always192(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15898])).
% 12.75/9.01 tff(15900,plain,
% 12.75/9.01 (![X: $i] : (loop | (~last(X)) | (~always192(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15901,plain,
% 12.75/9.01 (^[X: $i] : rewrite(((loop | (~always192(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always192(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15902,plain,
% 12.75/9.01 (![X: $i] : ((loop | (~always192(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15901])).
% 12.75/9.01 tff(15903,axiom,(![X: $i] : ((loop | (~always192(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty23')).
% 12.75/9.01 tff(15904,plain,
% 12.75/9.01 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 12.75/9.01 tff(15905,plain,
% 12.75/9.01 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15904, 15900])).
% 12.75/9.01 tff(15906,plain,(
% 12.75/9.01 ![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(skolemize,[status(sab)],[15905])).
% 12.75/9.01 tff(15907,plain,
% 12.75/9.01 (![X: $i] : (loop | (~last(X)) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15906, 15899])).
% 12.75/9.01 tff(15908,plain,
% 12.75/9.01 (((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | (loop | (~last(s9)) | (~always192(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | loop | (~last(s9)) | (~always192(s9)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15909,plain,
% 12.75/9.01 ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | (loop | (~last(s9)) | (~always192(s9)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15910,plain,
% 12.75/9.01 ((~![X: $i] : (loop | (~last(X)) | (~always192(X)))) | loop | (~last(s9)) | (~always192(s9))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 12.75/9.01 tff(15911,plain,
% 12.75/9.01 (loop | (~always192(s9))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15910, 12530, 15907])).
% 12.75/9.01 tff(15912,plain,
% 12.75/9.01 (~always192(s9)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15911, 12517])).
% 12.75/9.01 tff(15913,plain,
% 12.75/9.01 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ((~trans(X, Y)) | always192(Y) | (~always192(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15914,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15913])).
% 12.75/9.01 tff(15915,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15916,plain,
% 12.75/9.01 (^[Y: $i, X: $i] : rewrite(((always192(Y) | (~trans(X, Y))) | (~always192(X))) <=> ((~trans(X, Y)) | always192(Y) | (~always192(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15917,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((always192(Y) | (~trans(X, Y))) | (~always192(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15916])).
% 12.75/9.01 tff(15918,axiom,(![Y: $i, X: $i] : ((always192(Y) | (~trans(X, Y))) | (~always192(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty22')).
% 12.75/9.01 tff(15919,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 12.75/9.01 tff(15920,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15919, 15915])).
% 12.75/9.01 tff(15921,plain,(
% 12.75/9.01 ![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(skolemize,[status(sab)],[15920])).
% 12.75/9.01 tff(15922,plain,
% 12.75/9.01 (![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15921, 15914])).
% 12.75/9.01 tff(15923,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (always192(s9) | (~trans(s8, s9)) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15924,plain,
% 12.75/9.01 (((~trans(s8, s9)) | always192(s9) | (~always192(s8))) <=> (always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15925,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (always192(s9) | (~trans(s8, s9)) | (~always192(s8))))),
% 12.75/9.01 inference(monotonicity,[status(thm)],[15924])).
% 12.75/9.01 tff(15926,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8)))),
% 12.75/9.01 inference(transitivity,[status(thm)],[15925, 15923])).
% 12.75/9.01 tff(15927,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s8, s9)) | always192(s9) | (~always192(s8)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15928,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | always192(s9) | (~trans(s8, s9)) | (~always192(s8))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15927, 15926])).
% 12.75/9.01 tff(15929,plain,
% 12.75/9.01 (always192(s9) | (~always192(s8))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15928, 15922, 4962])).
% 12.75/9.01 tff(15930,plain,
% 12.75/9.01 (~always192(s8)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15929, 15912])).
% 12.75/9.01 tff(15931,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s7, s8)) | always192(s8) | (~always192(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s7, s8)) | always192(s8) | (~always192(s7)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15932,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s7, s8)) | always192(s8) | (~always192(s7)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15933,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s7, s8)) | always192(s8) | (~always192(s7))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 12.75/9.01 tff(15934,plain,
% 12.75/9.01 (always192(s8) | (~always192(s7))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15933, 15922, 4830])).
% 12.75/9.01 tff(15935,plain,
% 12.75/9.01 (~always192(s7)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15934, 15930])).
% 12.75/9.01 tff(15936,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s6, s7)) | always192(s7) | (~always192(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s6, s7)) | always192(s7) | (~always192(s6)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15937,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s6, s7)) | always192(s7) | (~always192(s6)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15938,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s6, s7)) | always192(s7) | (~always192(s6))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 12.75/9.01 tff(15939,plain,
% 12.75/9.01 (always192(s7) | (~always192(s6))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15938, 15922, 2095])).
% 12.75/9.01 tff(15940,plain,
% 12.75/9.01 (~always192(s6)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15939, 15935])).
% 12.75/9.01 tff(15941,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s5, s6)) | always192(s6) | (~always192(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s5, s6)) | always192(s6) | (~always192(s5)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15942,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s5, s6)) | always192(s6) | (~always192(s5)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15943,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s5, s6)) | always192(s6) | (~always192(s5))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15942, 15941])).
% 12.75/9.01 tff(15944,plain,
% 12.75/9.01 (always192(s6) | (~always192(s5))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15943, 15922, 14])).
% 12.75/9.01 tff(15945,plain,
% 12.75/9.01 (~always192(s5)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15944, 15940])).
% 12.75/9.01 tff(15946,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s4, s5)) | always192(s5) | (~always192(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s4, s5)) | always192(s5) | (~always192(s4)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15947,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s4, s5)) | always192(s5) | (~always192(s4)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15948,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s4, s5)) | always192(s5) | (~always192(s4))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 12.75/9.01 tff(15949,plain,
% 12.75/9.01 (always192(s5) | (~always192(s4))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15948, 15922, 1043])).
% 12.75/9.01 tff(15950,plain,
% 12.75/9.01 (~always192(s4)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15949, 15945])).
% 12.75/9.01 tff(15951,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s3, s4)) | always192(s4) | (~always192(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s3, s4)) | always192(s4) | (~always192(s3)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15952,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s3, s4)) | always192(s4) | (~always192(s3)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15953,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s3, s4)) | always192(s4) | (~always192(s3))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 12.75/9.01 tff(15954,plain,
% 12.75/9.01 (always192(s4) | (~always192(s3))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15953, 15922, 911])).
% 12.75/9.01 tff(15955,plain,
% 12.75/9.01 (~always192(s3)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15954, 15950])).
% 12.75/9.01 tff(15956,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s2, s3)) | always192(s3) | (~always192(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s2, s3)) | always192(s3) | (~always192(s2)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15957,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s2, s3)) | always192(s3) | (~always192(s2)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15958,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s2, s3)) | always192(s3) | (~always192(s2))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 12.75/9.01 tff(15959,plain,
% 12.75/9.01 (always192(s3) | (~always192(s2))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15958, 15922, 480])).
% 12.75/9.01 tff(15960,plain,
% 12.75/9.01 (~always192(s2)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15959, 15955])).
% 12.75/9.01 tff(15961,plain,
% 12.75/9.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s1, s2)) | always192(s2) | (~always192(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s1, s2)) | always192(s2) | (~always192(s1)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15962,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s1, s2)) | always192(s2) | (~always192(s1)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15963,plain,
% 12.75/9.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s1, s2)) | always192(s2) | (~always192(s1))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 12.75/9.01 tff(15964,plain,
% 12.75/9.01 (always192(s2) | (~always192(s1))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15963, 15922, 271])).
% 12.75/9.01 tff(15965,plain,
% 12.75/9.01 (~always192(s1)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15964, 15960])).
% 12.75/9.01 tff(15966,plain,
% 12.75/9.01 (^[X: $i] : refl((always192(X) | (~node193(X))) <=> (always192(X) | (~node193(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15967,plain,
% 12.75/9.01 (![X: $i] : (always192(X) | (~node193(X))) <=> ![X: $i] : (always192(X) | (~node193(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15966])).
% 12.75/9.01 tff(15968,plain,
% 12.75/9.01 (![X: $i] : (always192(X) | (~node193(X))) <=> ![X: $i] : (always192(X) | (~node193(X)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15969,axiom,(![X: $i] : (always192(X) | (~node193(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty28')).
% 12.75/9.01 tff(15970,plain,
% 12.75/9.01 (![X: $i] : (always192(X) | (~node193(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 12.75/9.01 tff(15971,plain,(
% 12.75/9.01 ![X: $i] : (always192(X) | (~node193(X)))),
% 12.75/9.01 inference(skolemize,[status(sab)],[15970])).
% 12.75/9.01 tff(15972,plain,
% 12.75/9.01 (![X: $i] : (always192(X) | (~node193(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15971, 15967])).
% 12.75/9.01 tff(15973,plain,
% 12.75/9.01 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s1) | (~node193(s1)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s1) | (~node193(s1)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15974,plain,
% 12.75/9.01 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s1) | (~node193(s1)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15975,plain,
% 12.75/9.01 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s1) | (~node193(s1))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 12.75/9.01 tff(15976,plain,
% 12.75/9.01 (~node193(s1)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15975, 15972, 15965])).
% 12.75/9.01 tff(15977,plain,
% 12.75/9.01 (^[X: $i] : refl((node193(X) | until266(X) | (~node270(X))) <=> (node193(X) | until266(X) | (~node270(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15978,plain,
% 12.75/9.01 (![X: $i] : (node193(X) | until266(X) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15977])).
% 12.75/9.01 tff(15979,plain,
% 12.75/9.01 (![X: $i] : (node193(X) | until266(X) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15980,plain,
% 12.75/9.01 (^[X: $i] : rewrite(((node193(X) | until266(X)) | (~node270(X))) <=> (node193(X) | until266(X) | (~node270(X))))),
% 12.75/9.01 inference(bind,[status(th)],[])).
% 12.75/9.01 tff(15981,plain,
% 12.75/9.01 (![X: $i] : ((node193(X) | until266(X)) | (~node270(X))) <=> ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(quant_intro,[status(thm)],[15980])).
% 12.75/9.01 tff(15982,axiom,(![X: $i] : ((node193(X) | until266(X)) | (~node270(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty191')).
% 12.75/9.01 tff(15983,plain,
% 12.75/9.01 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 12.75/9.01 tff(15984,plain,
% 12.75/9.01 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15983, 15979])).
% 12.75/9.01 tff(15985,plain,(
% 12.75/9.01 ![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(skolemize,[status(sab)],[15984])).
% 12.75/9.01 tff(15986,plain,
% 12.75/9.01 (![X: $i] : (node193(X) | until266(X) | (~node270(X)))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15985, 15978])).
% 12.75/9.01 tff(15987,plain,
% 12.75/9.01 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s1) | until266(s1) | (~node270(s1)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s1) | until266(s1) | (~node270(s1)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15988,plain,
% 12.75/9.01 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s1) | until266(s1) | (~node270(s1)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15989,plain,
% 12.75/9.01 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s1) | until266(s1) | (~node270(s1))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 12.75/9.01 tff(15990,plain,
% 12.75/9.01 (until266(s1) | (~node270(s1))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15989, 15986, 15976])).
% 12.75/9.01 tff(15991,plain,
% 12.75/9.01 (~node270(s1)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15990, 15897])).
% 12.75/9.01 tff(15992,plain,
% 12.75/9.01 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s2) | (~node193(s2)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s2) | (~node193(s2)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15993,plain,
% 12.75/9.01 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s2) | (~node193(s2)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15994,plain,
% 12.75/9.01 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s2) | (~node193(s2))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15993, 15992])).
% 12.75/9.01 tff(15995,plain,
% 12.75/9.01 (~node193(s2)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15994, 15972, 15960])).
% 12.75/9.01 tff(15996,plain,
% 12.75/9.01 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s2) | until266(s2) | (~node270(s2)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s2) | until266(s2) | (~node270(s2)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(15997,plain,
% 12.75/9.01 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s2) | until266(s2) | (~node270(s2)))),
% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
% 12.75/9.01 tff(15998,plain,
% 12.75/9.01 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s2) | until266(s2) | (~node270(s2))),
% 12.75/9.01 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 12.75/9.01 tff(15999,plain,
% 12.75/9.01 (until266(s2) | (~node270(s2))),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15998, 15986, 15995])).
% 12.75/9.01 tff(16000,plain,
% 12.75/9.01 (~node270(s2)),
% 12.75/9.01 inference(unit_resolution,[status(thm)],[15999, 15884])).
% 12.75/9.01 tff(16001,plain,
% 12.75/9.01 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s3) | (~node193(s3)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s3) | (~node193(s3)))),
% 12.75/9.01 inference(rewrite,[status(thm)],[])).
% 12.75/9.01 tff(16002,plain,
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% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.75/9.01 inference(rewrite,[status(thm)],[])).
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% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.75/9.01 inference(modus_ponens,[status(thm)],[16006, 16005])).
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% 12.75/9.01 inference(unit_resolution,[status(thm)],[16007, 15986, 16004])).
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% 12.75/9.01 inference(rewrite,[status(thm)],[])).
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% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.75/9.01 inference(modus_ponens,[status(thm)],[16011, 16010])).
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% 12.75/9.01 inference(rewrite,[status(thm)],[])).
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% 12.75/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.75/9.01 inference(modus_ponens,[status(thm)],[16015, 16014])).
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% 12.75/9.01 inference(unit_resolution,[status(thm)],[16016, 15986, 16013])).
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% 12.75/9.01 inference(unit_resolution,[status(thm)],[16017, 15858])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(modus_ponens,[status(thm)],[16020, 16019])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(modus_ponens,[status(thm)],[16024, 16023])).
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% 12.76/9.01 inference(unit_resolution,[status(thm)],[16025, 15986, 16022])).
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% 12.76/9.01 inference(unit_resolution,[status(thm)],[16026, 15845])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(modus_ponens,[status(thm)],[16033, 16032])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(modus_ponens,[status(thm)],[16042, 16041])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(rewrite,[status(thm)],[])).
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% 12.76/9.01 inference(bind,[status(th)],[])).
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% 12.76/9.01 (![X: $i] : ((node270(X) | xuntil272(X)) | (~until271(X))) <=> ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.76/9.01 inference(quant_intro,[status(thm)],[16082])).
% 12.76/9.01 tff(16084,axiom,(![X: $i] : ((node270(X) | xuntil272(X)) | (~until271(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty192')).
% 12.76/9.01 tff(16085,plain,
% 12.76/9.01 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 12.76/9.01 tff(16086,plain,
% 12.76/9.01 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16085, 16081])).
% 12.76/9.01 tff(16087,plain,(
% 12.76/9.01 ![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.76/9.01 inference(skolemize,[status(sab)],[16086])).
% 12.76/9.01 tff(16088,plain,
% 12.76/9.01 (![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16087, 16080])).
% 12.76/9.01 tff(16089,plain,
% 12.76/9.01 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s9) | node270(s9) | (~until271(s9)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16090,plain,
% 12.76/9.01 ((node270(s9) | (~until271(s9)) | xuntil272(s9)) <=> (xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16091,plain,
% 12.76/9.01 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s9) | node270(s9) | (~until271(s9))))),
% 12.76/9.01 inference(monotonicity,[status(thm)],[16090])).
% 12.76/9.01 tff(16092,plain,
% 12.76/9.01 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9)))),
% 12.76/9.01 inference(transitivity,[status(thm)],[16091, 16089])).
% 12.76/9.01 tff(16093,plain,
% 12.76/9.01 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s9) | (~until271(s9)) | xuntil272(s9))),
% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
% 12.76/9.01 tff(16094,plain,
% 12.76/9.01 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s9) | node270(s9) | (~until271(s9))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 12.76/9.01 tff(16095,plain,
% 12.76/9.01 (node270(s9) | (~until271(s9))),
% 12.76/9.01 inference(unit_resolution,[status(thm)],[16094, 16088, 16078])).
% 12.76/9.01 tff(16096,plain,
% 12.76/9.01 (~until271(s9)),
% 12.76/9.01 inference(unit_resolution,[status(thm)],[16095, 16063])).
% 12.76/9.01 tff(16097,plain,
% 12.76/9.01 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)))),
% 12.76/9.01 inference(bind,[status(th)],[])).
% 12.76/9.01 tff(16098,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(quant_intro,[status(thm)],[16097])).
% 12.76/9.01 tff(16099,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16100,plain,
% 12.76/9.01 (^[Y: $i, X: $i] : rewrite(((until271(Y) | (~succ(X, Y))) | (~xuntil272(X))) <=> ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y)))),
% 12.76/9.01 inference(bind,[status(th)],[])).
% 12.76/9.01 tff(16101,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((until271(Y) | (~succ(X, Y))) | (~xuntil272(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(quant_intro,[status(thm)],[16100])).
% 12.76/9.01 tff(16102,axiom,(![Y: $i, X: $i] : ((until271(Y) | (~succ(X, Y))) | (~xuntil272(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty193')).
% 12.76/9.01 tff(16103,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 12.76/9.01 tff(16104,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16103, 16099])).
% 12.76/9.01 tff(16105,plain,(
% 12.76/9.01 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(skolemize,[status(sab)],[16104])).
% 12.76/9.01 tff(16106,plain,
% 12.76/9.01 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16105, 16098])).
% 12.76/9.01 tff(16107,plain,
% 12.76/9.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16108,plain,
% 12.76/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9))),
% 12.76/9.01 inference(quant_inst,[status(thm)],[])).
% 12.76/9.01 tff(16109,plain,
% 12.76/9.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s8, s9)) | (~xuntil272(s8)) | until271(s9)),
% 12.76/9.01 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 12.76/9.01 tff(16110,plain,
% 12.76/9.01 ((~xuntil272(s8)) | until271(s9)),
% 12.76/9.01 inference(unit_resolution,[status(thm)],[16109, 4958, 16106])).
% 12.76/9.01 tff(16111,plain,
% 12.76/9.01 (~xuntil272(s8)),
% 12.76/9.01 inference(unit_resolution,[status(thm)],[16110, 16096])).
% 12.76/9.01 tff(16112,plain,
% 12.76/9.01 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s8) | node270(s8) | (~until271(s8)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16113,plain,
% 12.76/9.01 ((node270(s8) | (~until271(s8)) | xuntil272(s8)) <=> (xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.76/9.01 inference(rewrite,[status(thm)],[])).
% 12.76/9.01 tff(16114,plain,
% 12.76/9.01 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s8) | node270(s8) | (~until271(s8))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16113])).
% 12.76/9.02 tff(16115,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16114, 16112])).
% 12.76/9.02 tff(16116,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s8) | (~until271(s8)) | xuntil272(s8))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16117,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s8) | node270(s8) | (~until271(s8))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16116, 16115])).
% 12.76/9.02 tff(16118,plain,
% 12.76/9.02 (node270(s8) | (~until271(s8))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16117, 16088, 16111])).
% 12.76/9.02 tff(16119,plain,
% 12.76/9.02 (~until271(s8)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16118, 16054])).
% 12.76/9.02 tff(16120,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16121,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16122,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s7, s8)) | (~xuntil272(s7)) | until271(s8)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 12.76/9.02 tff(16123,plain,
% 12.76/9.02 ((~xuntil272(s7)) | until271(s8)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16122, 4826, 16106])).
% 12.76/9.02 tff(16124,plain,
% 12.76/9.02 (~xuntil272(s7)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16123, 16119])).
% 12.76/9.02 tff(16125,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s7) | node270(s7) | (~until271(s7)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16126,plain,
% 12.76/9.02 ((node270(s7) | (~until271(s7)) | xuntil272(s7)) <=> (xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16127,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s7) | node270(s7) | (~until271(s7))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16126])).
% 12.76/9.02 tff(16128,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16127, 16125])).
% 12.76/9.02 tff(16129,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s7) | (~until271(s7)) | xuntil272(s7))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16130,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s7) | node270(s7) | (~until271(s7))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16129, 16128])).
% 12.76/9.02 tff(16131,plain,
% 12.76/9.02 (node270(s7) | (~until271(s7))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16130, 16088, 16124])).
% 12.76/9.02 tff(16132,plain,
% 12.76/9.02 (~until271(s7)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16131, 16045])).
% 12.76/9.02 tff(16133,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16134,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16135,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s6, s7)) | (~xuntil272(s6)) | until271(s7)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 12.76/9.02 tff(16136,plain,
% 12.76/9.02 ((~xuntil272(s6)) | until271(s7)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16135, 2091, 16106])).
% 12.76/9.02 tff(16137,plain,
% 12.76/9.02 (~xuntil272(s6)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16136, 16132])).
% 12.76/9.02 tff(16138,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s6) | node270(s6) | (~until271(s6)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16139,plain,
% 12.76/9.02 ((node270(s6) | (~until271(s6)) | xuntil272(s6)) <=> (xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16140,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s6) | node270(s6) | (~until271(s6))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16139])).
% 12.76/9.02 tff(16141,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16140, 16138])).
% 12.76/9.02 tff(16142,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s6) | (~until271(s6)) | xuntil272(s6))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16143,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s6) | node270(s6) | (~until271(s6))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 12.76/9.02 tff(16144,plain,
% 12.76/9.02 (node270(s6) | (~until271(s6))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16143, 16088, 16137])).
% 12.76/9.02 tff(16145,plain,
% 12.76/9.02 (~until271(s6)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16144, 16036])).
% 12.76/9.02 tff(16146,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16147,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16148,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s5, s6)) | (~xuntil272(s5)) | until271(s6)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 12.76/9.02 tff(16149,plain,
% 12.76/9.02 ((~xuntil272(s5)) | until271(s6)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16148, 10, 16106])).
% 12.76/9.02 tff(16150,plain,
% 12.76/9.02 (~xuntil272(s5)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16149, 16145])).
% 12.76/9.02 tff(16151,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s5) | node270(s5) | (~until271(s5)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16152,plain,
% 12.76/9.02 ((node270(s5) | (~until271(s5)) | xuntil272(s5)) <=> (xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16153,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s5) | node270(s5) | (~until271(s5))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16152])).
% 12.76/9.02 tff(16154,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16153, 16151])).
% 12.76/9.02 tff(16155,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s5) | (~until271(s5)) | xuntil272(s5))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16156,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s5) | node270(s5) | (~until271(s5))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 12.76/9.02 tff(16157,plain,
% 12.76/9.02 (node270(s5) | (~until271(s5))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16156, 16088, 16150])).
% 12.76/9.02 tff(16158,plain,
% 12.76/9.02 (~until271(s5)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16157, 16027])).
% 12.76/9.02 tff(16159,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16160,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16161,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s4, s5)) | (~xuntil272(s4)) | until271(s5)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 12.76/9.02 tff(16162,plain,
% 12.76/9.02 ((~xuntil272(s4)) | until271(s5)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16161, 1039, 16106])).
% 12.76/9.02 tff(16163,plain,
% 12.76/9.02 (~xuntil272(s4)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16162, 16158])).
% 12.76/9.02 tff(16164,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s4) | node270(s4) | (~until271(s4)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16165,plain,
% 12.76/9.02 ((node270(s4) | (~until271(s4)) | xuntil272(s4)) <=> (xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16166,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s4) | node270(s4) | (~until271(s4))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16165])).
% 12.76/9.02 tff(16167,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16166, 16164])).
% 12.76/9.02 tff(16168,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s4) | (~until271(s4)) | xuntil272(s4))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16169,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s4) | node270(s4) | (~until271(s4))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 12.76/9.02 tff(16170,plain,
% 12.76/9.02 (node270(s4) | (~until271(s4))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16169, 16088, 16163])).
% 12.76/9.02 tff(16171,plain,
% 12.76/9.02 (~until271(s4)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16170, 16018])).
% 12.76/9.02 tff(16172,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16173,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16174,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s3, s4)) | (~xuntil272(s3)) | until271(s4)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16173, 16172])).
% 12.76/9.02 tff(16175,plain,
% 12.76/9.02 ((~xuntil272(s3)) | until271(s4)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16174, 907, 16106])).
% 12.76/9.02 tff(16176,plain,
% 12.76/9.02 (~xuntil272(s3)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16175, 16171])).
% 12.76/9.02 tff(16177,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s3) | node270(s3) | (~until271(s3)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16178,plain,
% 12.76/9.02 ((node270(s3) | (~until271(s3)) | xuntil272(s3)) <=> (xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16179,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s3) | node270(s3) | (~until271(s3))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16178])).
% 12.76/9.02 tff(16180,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16179, 16177])).
% 12.76/9.02 tff(16181,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s3) | (~until271(s3)) | xuntil272(s3))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16182,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s3) | node270(s3) | (~until271(s3))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 12.76/9.02 tff(16183,plain,
% 12.76/9.02 (node270(s3) | (~until271(s3))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16182, 16088, 16176])).
% 12.76/9.02 tff(16184,plain,
% 12.76/9.02 (~until271(s3)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16183, 16009])).
% 12.76/9.02 tff(16185,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16186,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16187,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s2, s3)) | (~xuntil272(s2)) | until271(s3)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 12.76/9.02 tff(16188,plain,
% 12.76/9.02 ((~xuntil272(s2)) | until271(s3)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16187, 476, 16106])).
% 12.76/9.02 tff(16189,plain,
% 12.76/9.02 (~xuntil272(s2)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16188, 16184])).
% 12.76/9.02 tff(16190,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s2) | node270(s2) | (~until271(s2)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16191,plain,
% 12.76/9.02 ((node270(s2) | (~until271(s2)) | xuntil272(s2)) <=> (xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16192,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s2) | node270(s2) | (~until271(s2))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16191])).
% 12.76/9.02 tff(16193,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16192, 16190])).
% 12.76/9.02 tff(16194,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s2) | (~until271(s2)) | xuntil272(s2))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16195,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s2) | node270(s2) | (~until271(s2))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16194, 16193])).
% 12.76/9.02 tff(16196,plain,
% 12.76/9.02 (node270(s2) | (~until271(s2))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16195, 16088, 16189])).
% 12.76/9.02 tff(16197,plain,
% 12.76/9.02 (~until271(s2)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16196, 16000])).
% 12.76/9.02 tff(16198,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16199,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16200,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s1, s2)) | (~xuntil272(s1)) | until271(s2)),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16199, 16198])).
% 12.76/9.02 tff(16201,plain,
% 12.76/9.02 ((~xuntil272(s1)) | until271(s2)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16200, 267, 16106])).
% 12.76/9.02 tff(16202,plain,
% 12.76/9.02 (~xuntil272(s1)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16201, 16197])).
% 12.76/9.02 tff(16203,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s1) | node270(s1) | (~until271(s1)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16204,plain,
% 12.76/9.02 ((node270(s1) | (~until271(s1)) | xuntil272(s1)) <=> (xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16205,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s1) | node270(s1) | (~until271(s1))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16204])).
% 12.76/9.02 tff(16206,plain,
% 12.76/9.02 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16205, 16203])).
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% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s1) | (~until271(s1)) | xuntil272(s1))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16208,plain,
% 12.76/9.02 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s1) | node270(s1) | (~until271(s1))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16207, 16206])).
% 12.76/9.02 tff(16209,plain,
% 12.76/9.02 (node270(s1) | (~until271(s1))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16208, 16088, 16202])).
% 12.76/9.02 tff(16210,plain,
% 12.76/9.02 (~until271(s1)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16209, 15991])).
% 12.76/9.02 tff(16211,plain,
% 12.76/9.02 (^[X: $i] : refl((loop | (~last(X)) | (~always190(X))) <=> (loop | (~last(X)) | (~always190(X))))),
% 12.76/9.02 inference(bind,[status(th)],[])).
% 12.76/9.02 tff(16212,plain,
% 12.76/9.02 (![X: $i] : (loop | (~last(X)) | (~always190(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(quant_intro,[status(thm)],[16211])).
% 12.76/9.02 tff(16213,plain,
% 12.76/9.02 (![X: $i] : (loop | (~last(X)) | (~always190(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16214,plain,
% 12.76/9.02 (^[X: $i] : rewrite(((loop | (~always190(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always190(X))))),
% 12.76/9.02 inference(bind,[status(th)],[])).
% 12.76/9.02 tff(16215,plain,
% 12.76/9.02 (![X: $i] : ((loop | (~always190(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(quant_intro,[status(thm)],[16214])).
% 12.76/9.02 tff(16216,axiom,(![X: $i] : ((loop | (~always190(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty15')).
% 12.76/9.02 tff(16217,plain,
% 12.76/9.02 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16216, 16215])).
% 12.76/9.02 tff(16218,plain,
% 12.76/9.02 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16217, 16213])).
% 12.76/9.02 tff(16219,plain,(
% 12.76/9.02 ![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(skolemize,[status(sab)],[16218])).
% 12.76/9.02 tff(16220,plain,
% 12.76/9.02 (![X: $i] : (loop | (~last(X)) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16219, 16212])).
% 12.76/9.02 tff(16221,plain,
% 12.76/9.02 (((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | (loop | (~last(s9)) | (~always190(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | loop | (~last(s9)) | (~always190(s9)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16222,plain,
% 12.76/9.02 ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | (loop | (~last(s9)) | (~always190(s9)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16223,plain,
% 12.76/9.02 ((~![X: $i] : (loop | (~last(X)) | (~always190(X)))) | loop | (~last(s9)) | (~always190(s9))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 12.76/9.02 tff(16224,plain,
% 12.76/9.02 (loop | (~always190(s9))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16223, 12530, 16220])).
% 12.76/9.02 tff(16225,plain,
% 12.76/9.02 (~always190(s9)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16224, 12517])).
% 12.76/9.02 tff(16226,plain,
% 12.76/9.02 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ((~trans(X, Y)) | always190(Y) | (~always190(X))))),
% 12.76/9.02 inference(bind,[status(th)],[])).
% 12.76/9.02 tff(16227,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(quant_intro,[status(thm)],[16226])).
% 12.76/9.02 tff(16228,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16229,plain,
% 12.76/9.02 (^[Y: $i, X: $i] : rewrite(((always190(Y) | (~trans(X, Y))) | (~always190(X))) <=> ((~trans(X, Y)) | always190(Y) | (~always190(X))))),
% 12.76/9.02 inference(bind,[status(th)],[])).
% 12.76/9.02 tff(16230,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((always190(Y) | (~trans(X, Y))) | (~always190(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(quant_intro,[status(thm)],[16229])).
% 12.76/9.02 tff(16231,axiom,(![Y: $i, X: $i] : ((always190(Y) | (~trans(X, Y))) | (~always190(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty14')).
% 12.76/9.02 tff(16232,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 12.76/9.02 tff(16233,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16232, 16228])).
% 12.76/9.02 tff(16234,plain,(
% 12.76/9.02 ![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(skolemize,[status(sab)],[16233])).
% 12.76/9.02 tff(16235,plain,
% 12.76/9.02 (![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16234, 16227])).
% 12.76/9.02 tff(16236,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (always190(s9) | (~trans(s8, s9)) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16237,plain,
% 12.76/9.02 (((~trans(s8, s9)) | always190(s9) | (~always190(s8))) <=> (always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16238,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (always190(s9) | (~trans(s8, s9)) | (~always190(s8))))),
% 12.76/9.02 inference(monotonicity,[status(thm)],[16237])).
% 12.76/9.02 tff(16239,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8)))),
% 12.76/9.02 inference(transitivity,[status(thm)],[16238, 16236])).
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% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s8, s9)) | always190(s9) | (~always190(s8)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16241,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | always190(s9) | (~trans(s8, s9)) | (~always190(s8))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16240, 16239])).
% 12.76/9.02 tff(16242,plain,
% 12.76/9.02 (always190(s9) | (~always190(s8))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16241, 16235, 4962])).
% 12.76/9.02 tff(16243,plain,
% 12.76/9.02 (~always190(s8)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16242, 16225])).
% 12.76/9.02 tff(16244,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s7, s8)) | always190(s8) | (~always190(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s7, s8)) | always190(s8) | (~always190(s7)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16245,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s7, s8)) | always190(s8) | (~always190(s7)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16246,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s7, s8)) | always190(s8) | (~always190(s7))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 12.76/9.02 tff(16247,plain,
% 12.76/9.02 (always190(s8) | (~always190(s7))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16246, 16235, 4830])).
% 12.76/9.02 tff(16248,plain,
% 12.76/9.02 (~always190(s7)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16247, 16243])).
% 12.76/9.02 tff(16249,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s6, s7)) | always190(s7) | (~always190(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s6, s7)) | always190(s7) | (~always190(s6)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16250,plain,
% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s6, s7)) | always190(s7) | (~always190(s6)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s6, s7)) | always190(s7) | (~always190(s6))),
% 12.76/9.02 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 12.76/9.02 tff(16252,plain,
% 12.76/9.02 (always190(s7) | (~always190(s6))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16251, 16235, 2095])).
% 12.76/9.02 tff(16253,plain,
% 12.76/9.02 (~always190(s6)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16252, 16248])).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s5, s6)) | always190(s6) | (~always190(s5)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16256,plain,
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% 12.76/9.02 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 12.76/9.02 tff(16257,plain,
% 12.76/9.02 (always190(s6) | (~always190(s5))),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16256, 16235, 14])).
% 12.76/9.02 tff(16258,plain,
% 12.76/9.02 (~always190(s5)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16257, 16253])).
% 12.76/9.02 tff(16259,plain,
% 12.76/9.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s4, s5)) | always190(s5) | (~always190(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s4, s5)) | always190(s5) | (~always190(s4)))),
% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.02 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 12.76/9.02 tff(16262,plain,
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% 12.76/9.02 inference(unit_resolution,[status(thm)],[16261, 16235, 1043])).
% 12.76/9.02 tff(16263,plain,
% 12.76/9.02 (~always190(s4)),
% 12.76/9.02 inference(unit_resolution,[status(thm)],[16262, 16258])).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s3, s4)) | always190(s4) | (~always190(s3)))),
% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
% 12.76/9.02 tff(16266,plain,
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% 12.76/9.02 inference(modus_ponens,[status(thm)],[16265, 16264])).
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% 12.76/9.02 inference(unit_resolution,[status(thm)],[16266, 16235, 911])).
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% 12.76/9.02 inference(unit_resolution,[status(thm)],[16267, 16263])).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.02 inference(modus_ponens,[status(thm)],[16270, 16269])).
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% 12.76/9.02 inference(unit_resolution,[status(thm)],[16271, 16235, 480])).
% 12.76/9.02 tff(16273,plain,
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% 12.76/9.02 inference(unit_resolution,[status(thm)],[16272, 16268])).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.02 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.02 inference(modus_ponens,[status(thm)],[16275, 16274])).
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% 12.76/9.02 inference(bind,[status(th)],[])).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
% 12.76/9.02 tff(16282,axiom,(![X: $i] : (always190(X) | (~node191(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty20')).
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% 12.76/9.02 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16383, 16379])).
% 12.76/9.03 tff(16385,plain,(
% 12.76/9.03 ![X: $i] : (loop | (~last(X)) | (~xuntil277(X)))),
% 12.76/9.03 inference(skolemize,[status(sab)],[16384])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16385, 16378])).
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% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16388, 16387])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16389, 12530, 16386])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16390, 12517])).
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% 12.76/9.03 inference(bind,[status(th)],[])).
% 12.76/9.03 tff(16393,plain,
% 12.76/9.03 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X)) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16392])).
% 12.76/9.03 tff(16394,plain,
% 12.76/9.03 (![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X)) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16395,plain,
% 12.76/9.03 (^[X: $i] : rewrite(((node275(X) | xuntil277(X)) | (~until276(X))) <=> (node275(X) | (~until276(X)) | xuntil277(X)))),
% 12.76/9.03 inference(bind,[status(th)],[])).
% 12.76/9.03 tff(16396,plain,
% 12.76/9.03 (![X: $i] : ((node275(X) | xuntil277(X)) | (~until276(X))) <=> ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16395])).
% 12.76/9.03 tff(16397,axiom,(![X: $i] : ((node275(X) | xuntil277(X)) | (~until276(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty200')).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16397, 16396])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16398, 16394])).
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% 12.76/9.03 ![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))),
% 12.76/9.03 inference(skolemize,[status(sab)],[16399])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16400, 16393])).
% 12.76/9.03 tff(16402,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s9) | node275(s9) | (~until276(s9)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 ((node275(s9) | (~until276(s9)) | xuntil277(s9)) <=> (xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16404,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s9) | node275(s9) | (~until276(s9))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16403])).
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% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16404, 16402])).
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% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s9) | (~until276(s9)) | xuntil277(s9))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16407,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s9) | node275(s9) | (~until276(s9))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16406, 16405])).
% 12.76/9.03 tff(16408,plain,
% 12.76/9.03 (node275(s9) | (~until276(s9))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16407, 16401, 16391])).
% 12.76/9.03 tff(16409,plain,
% 12.76/9.03 (~until276(s9)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16408, 16376])).
% 12.76/9.03 tff(16410,plain,
% 12.76/9.03 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)))),
% 12.76/9.03 inference(bind,[status(th)],[])).
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% 12.76/9.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16410])).
% 12.76/9.03 tff(16412,plain,
% 12.76/9.03 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16413,plain,
% 12.76/9.03 (^[Y: $i, X: $i] : rewrite(((until276(Y) | (~succ(X, Y))) | (~xuntil277(X))) <=> ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y)))),
% 12.76/9.03 inference(bind,[status(th)],[])).
% 12.76/9.03 tff(16414,plain,
% 12.76/9.03 (![Y: $i, X: $i] : ((until276(Y) | (~succ(X, Y))) | (~xuntil277(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16413])).
% 12.76/9.03 tff(16415,axiom,(![Y: $i, X: $i] : ((until276(Y) | (~succ(X, Y))) | (~xuntil277(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty201')).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 12.76/9.03 tff(16417,plain,
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16416, 16412])).
% 12.76/9.03 tff(16418,plain,(
% 12.76/9.03 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))),
% 12.76/9.03 inference(skolemize,[status(sab)],[16417])).
% 12.76/9.03 tff(16419,plain,
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16418, 16411])).
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% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16421,plain,
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16422,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s8, s9)) | (~xuntil277(s8)) | until276(s9)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 12.76/9.03 tff(16423,plain,
% 12.76/9.03 ((~xuntil277(s8)) | until276(s9)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16422, 4958, 16419])).
% 12.76/9.03 tff(16424,plain,
% 12.76/9.03 (~xuntil277(s8)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16423, 16409])).
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% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s8) | node275(s8) | (~until276(s8)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 ((node275(s8) | (~until276(s8)) | xuntil277(s8)) <=> (xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16427,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s8) | (~until276(s8)) | xuntil277(s8))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s8) | node275(s8) | (~until276(s8))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16426])).
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% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s8) | (~until276(s8)) | xuntil277(s8))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16427, 16425])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s8) | node275(s8) | (~until276(s8))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16429, 16428])).
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% 12.76/9.03 (node275(s8) | (~until276(s8))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16430, 16401, 16424])).
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% 12.76/9.03 (~until276(s8)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16431, 16367])).
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% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16434, 16433])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16435, 4826, 16419])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16436, 16432])).
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% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(monotonicity,[status(thm)],[16439])).
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% 12.76/9.03 inference(transitivity,[status(thm)],[16440, 16438])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16443, 16401, 16437])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16444, 16358])).
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% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16447, 16446])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16448, 2091, 16419])).
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% 12.76/9.03 inference(unit_resolution,[status(thm)],[16449, 16445])).
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% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s6) | node275(s6) | (~until276(s6)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s6) | node275(s6) | (~until276(s6)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 ((node275(s6) | (~until276(s6)) | xuntil277(s6)) <=> (xuntil277(s6) | node275(s6) | (~until276(s6)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
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% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s6) | (~until276(s6)) | xuntil277(s6))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s6) | node275(s6) | (~until276(s6))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16452])).
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% 12.76/9.03 inference(transitivity,[status(thm)],[16453, 16451])).
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% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16456,plain,
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% 12.76/9.03 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 12.76/9.03 tff(16457,plain,
% 12.76/9.03 (node275(s6) | (~until276(s6))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16456, 16401, 16450])).
% 12.76/9.03 tff(16458,plain,
% 12.76/9.03 (~until276(s6)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16457, 16349])).
% 12.76/9.03 tff(16459,plain,
% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16460,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16461,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s5, s6)) | (~xuntil277(s5)) | until276(s6)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 12.76/9.03 tff(16462,plain,
% 12.76/9.03 ((~xuntil277(s5)) | until276(s6)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16461, 10, 16419])).
% 12.76/9.03 tff(16463,plain,
% 12.76/9.03 (~xuntil277(s5)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16462, 16458])).
% 12.76/9.03 tff(16464,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s5) | node275(s5) | (~until276(s5)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16465,plain,
% 12.76/9.03 ((node275(s5) | (~until276(s5)) | xuntil277(s5)) <=> (xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16466,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s5) | node275(s5) | (~until276(s5))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16465])).
% 12.76/9.03 tff(16467,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16466, 16464])).
% 12.76/9.03 tff(16468,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s5) | (~until276(s5)) | xuntil277(s5))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16469,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s5) | node275(s5) | (~until276(s5))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16468, 16467])).
% 12.76/9.03 tff(16470,plain,
% 12.76/9.03 (node275(s5) | (~until276(s5))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16469, 16401, 16463])).
% 12.76/9.03 tff(16471,plain,
% 12.76/9.03 (~until276(s5)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16470, 16340])).
% 12.76/9.03 tff(16472,plain,
% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16473,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16474,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s4, s5)) | (~xuntil277(s4)) | until276(s5)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 12.76/9.03 tff(16475,plain,
% 12.76/9.03 ((~xuntil277(s4)) | until276(s5)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16474, 1039, 16419])).
% 12.76/9.03 tff(16476,plain,
% 12.76/9.03 (~xuntil277(s4)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16475, 16471])).
% 12.76/9.03 tff(16477,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s4) | node275(s4) | (~until276(s4)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16478,plain,
% 12.76/9.03 ((node275(s4) | (~until276(s4)) | xuntil277(s4)) <=> (xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16479,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s4) | node275(s4) | (~until276(s4))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16478])).
% 12.76/9.03 tff(16480,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16479, 16477])).
% 12.76/9.03 tff(16481,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s4) | (~until276(s4)) | xuntil277(s4))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16482,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s4) | node275(s4) | (~until276(s4))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 12.76/9.03 tff(16483,plain,
% 12.76/9.03 (node275(s4) | (~until276(s4))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16482, 16401, 16476])).
% 12.76/9.03 tff(16484,plain,
% 12.76/9.03 (~until276(s4)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16483, 16331])).
% 12.76/9.03 tff(16485,plain,
% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16486,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16487,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s3, s4)) | (~xuntil277(s3)) | until276(s4)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16486, 16485])).
% 12.76/9.03 tff(16488,plain,
% 12.76/9.03 ((~xuntil277(s3)) | until276(s4)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16487, 907, 16419])).
% 12.76/9.03 tff(16489,plain,
% 12.76/9.03 (~xuntil277(s3)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16488, 16484])).
% 12.76/9.03 tff(16490,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s3) | node275(s3) | (~until276(s3)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16491,plain,
% 12.76/9.03 ((node275(s3) | (~until276(s3)) | xuntil277(s3)) <=> (xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16492,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s3) | node275(s3) | (~until276(s3))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16491])).
% 12.76/9.03 tff(16493,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16492, 16490])).
% 12.76/9.03 tff(16494,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s3) | (~until276(s3)) | xuntil277(s3))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16495,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s3) | node275(s3) | (~until276(s3))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16494, 16493])).
% 12.76/9.03 tff(16496,plain,
% 12.76/9.03 (node275(s3) | (~until276(s3))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16495, 16401, 16489])).
% 12.76/9.03 tff(16497,plain,
% 12.76/9.03 (~until276(s3)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16496, 16322])).
% 12.76/9.03 tff(16498,plain,
% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16499,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16500,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s2, s3)) | (~xuntil277(s2)) | until276(s3)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 12.76/9.03 tff(16501,plain,
% 12.76/9.03 ((~xuntil277(s2)) | until276(s3)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16500, 476, 16419])).
% 12.76/9.03 tff(16502,plain,
% 12.76/9.03 (~xuntil277(s2)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16501, 16497])).
% 12.76/9.03 tff(16503,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s2) | node275(s2) | (~until276(s2)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16504,plain,
% 12.76/9.03 ((node275(s2) | (~until276(s2)) | xuntil277(s2)) <=> (xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16505,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s2) | node275(s2) | (~until276(s2))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16504])).
% 12.76/9.03 tff(16506,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16505, 16503])).
% 12.76/9.03 tff(16507,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s2) | (~until276(s2)) | xuntil277(s2))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16508,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s2) | node275(s2) | (~until276(s2))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 12.76/9.03 tff(16509,plain,
% 12.76/9.03 (node275(s2) | (~until276(s2))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16508, 16401, 16502])).
% 12.76/9.03 tff(16510,plain,
% 12.76/9.03 (~until276(s2)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16509, 16313])).
% 12.76/9.03 tff(16511,plain,
% 12.76/9.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16512,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16513,plain,
% 12.76/9.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s1, s2)) | (~xuntil277(s1)) | until276(s2)),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16512, 16511])).
% 12.76/9.03 tff(16514,plain,
% 12.76/9.03 ((~xuntil277(s1)) | until276(s2)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16513, 267, 16419])).
% 12.76/9.03 tff(16515,plain,
% 12.76/9.03 (~xuntil277(s1)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16514, 16510])).
% 12.76/9.03 tff(16516,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s1) | node275(s1) | (~until276(s1)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16517,plain,
% 12.76/9.03 ((node275(s1) | (~until276(s1)) | xuntil277(s1)) <=> (xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16518,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s1) | node275(s1) | (~until276(s1))))),
% 12.76/9.03 inference(monotonicity,[status(thm)],[16517])).
% 12.76/9.03 tff(16519,plain,
% 12.76/9.03 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1)))),
% 12.76/9.03 inference(transitivity,[status(thm)],[16518, 16516])).
% 12.76/9.03 tff(16520,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s1) | (~until276(s1)) | xuntil277(s1))),
% 12.76/9.03 inference(quant_inst,[status(thm)],[])).
% 12.76/9.03 tff(16521,plain,
% 12.76/9.03 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s1) | node275(s1) | (~until276(s1))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16520, 16519])).
% 12.76/9.03 tff(16522,plain,
% 12.76/9.03 (node275(s1) | (~until276(s1))),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16521, 16401, 16515])).
% 12.76/9.03 tff(16523,plain,
% 12.76/9.03 (~until276(s1)),
% 12.76/9.03 inference(unit_resolution,[status(thm)],[16522, 16304])).
% 12.76/9.03 tff(16524,plain,
% 12.76/9.03 (^[X: $i] : refl((loop | (~last(X)) | (~always188(X))) <=> (loop | (~last(X)) | (~always188(X))))),
% 12.76/9.03 inference(bind,[status(th)],[])).
% 12.76/9.03 tff(16525,plain,
% 12.76/9.03 (![X: $i] : (loop | (~last(X)) | (~always188(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16524])).
% 12.76/9.03 tff(16526,plain,
% 12.76/9.03 (![X: $i] : (loop | (~last(X)) | (~always188(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(rewrite,[status(thm)],[])).
% 12.76/9.03 tff(16527,plain,
% 12.76/9.03 (^[X: $i] : rewrite(((loop | (~always188(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always188(X))))),
% 12.76/9.03 inference(bind,[status(th)],[])).
% 12.76/9.03 tff(16528,plain,
% 12.76/9.03 (![X: $i] : ((loop | (~always188(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(quant_intro,[status(thm)],[16527])).
% 12.76/9.03 tff(16529,axiom,(![X: $i] : ((loop | (~always188(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 12.76/9.03 tff(16530,plain,
% 12.76/9.03 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 12.76/9.03 tff(16531,plain,
% 12.76/9.03 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16530, 16526])).
% 12.76/9.03 tff(16532,plain,(
% 12.76/9.03 ![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(skolemize,[status(sab)],[16531])).
% 12.76/9.03 tff(16533,plain,
% 12.76/9.03 (![X: $i] : (loop | (~last(X)) | (~always188(X)))),
% 12.76/9.03 inference(modus_ponens,[status(thm)],[16532, 16525])).
% 12.76/9.03 tff(16534,plain,
% 12.76/9.03 (((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | (loop | (~last(s9)) | (~always188(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | loop | (~last(s9)) | (~always188(s9)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16535,plain,
% 12.76/9.04 ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | (loop | (~last(s9)) | (~always188(s9)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16536,plain,
% 12.76/9.04 ((~![X: $i] : (loop | (~last(X)) | (~always188(X)))) | loop | (~last(s9)) | (~always188(s9))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16535, 16534])).
% 12.76/9.04 tff(16537,plain,
% 12.76/9.04 (loop | (~always188(s9))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16536, 12530, 16533])).
% 12.76/9.04 tff(16538,plain,
% 12.76/9.04 (~always188(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16537, 12517])).
% 12.76/9.04 tff(16539,plain,
% 12.76/9.04 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ((~trans(X, Y)) | always188(Y) | (~always188(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16540,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16539])).
% 12.76/9.04 tff(16541,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16542,plain,
% 12.76/9.04 (^[Y: $i, X: $i] : rewrite(((always188(Y) | (~trans(X, Y))) | (~always188(X))) <=> ((~trans(X, Y)) | always188(Y) | (~always188(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16543,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((always188(Y) | (~trans(X, Y))) | (~always188(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16542])).
% 12.76/9.04 tff(16544,axiom,(![Y: $i, X: $i] : ((always188(Y) | (~trans(X, Y))) | (~always188(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 12.76/9.04 tff(16545,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 12.76/9.04 tff(16546,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16545, 16541])).
% 12.76/9.04 tff(16547,plain,(
% 12.76/9.04 ![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(skolemize,[status(sab)],[16546])).
% 12.76/9.04 tff(16548,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16547, 16540])).
% 12.76/9.04 tff(16549,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (always188(s9) | (~trans(s8, s9)) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16550,plain,
% 12.76/9.04 (((~trans(s8, s9)) | always188(s9) | (~always188(s8))) <=> (always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16551,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (always188(s9) | (~trans(s8, s9)) | (~always188(s8))))),
% 12.76/9.04 inference(monotonicity,[status(thm)],[16550])).
% 12.76/9.04 tff(16552,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8)))),
% 12.76/9.04 inference(transitivity,[status(thm)],[16551, 16549])).
% 12.76/9.04 tff(16553,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s8, s9)) | always188(s9) | (~always188(s8)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16554,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | always188(s9) | (~trans(s8, s9)) | (~always188(s8))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 12.76/9.04 tff(16555,plain,
% 12.76/9.04 (always188(s9) | (~always188(s8))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16554, 16548, 4962])).
% 12.76/9.04 tff(16556,plain,
% 12.76/9.04 (~always188(s8)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16555, 16538])).
% 12.76/9.04 tff(16557,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s7, s8)) | always188(s8) | (~always188(s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s7, s8)) | always188(s8) | (~always188(s7)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16558,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s7, s8)) | always188(s8) | (~always188(s7)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16559,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s7, s8)) | always188(s8) | (~always188(s7))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16558, 16557])).
% 12.76/9.04 tff(16560,plain,
% 12.76/9.04 (always188(s8) | (~always188(s7))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16559, 16548, 4830])).
% 12.76/9.04 tff(16561,plain,
% 12.76/9.04 (~always188(s7)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16560, 16556])).
% 12.76/9.04 tff(16562,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s6, s7)) | always188(s7) | (~always188(s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s6, s7)) | always188(s7) | (~always188(s6)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16563,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s6, s7)) | always188(s7) | (~always188(s6)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16564,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s6, s7)) | always188(s7) | (~always188(s6))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 12.76/9.04 tff(16565,plain,
% 12.76/9.04 (always188(s7) | (~always188(s6))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16564, 16548, 2095])).
% 12.76/9.04 tff(16566,plain,
% 12.76/9.04 (~always188(s6)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16565, 16561])).
% 12.76/9.04 tff(16567,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s5, s6)) | always188(s6) | (~always188(s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s5, s6)) | always188(s6) | (~always188(s5)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16568,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s5, s6)) | always188(s6) | (~always188(s5)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16569,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s5, s6)) | always188(s6) | (~always188(s5))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 12.76/9.04 tff(16570,plain,
% 12.76/9.04 (always188(s6) | (~always188(s5))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16569, 16548, 14])).
% 12.76/9.04 tff(16571,plain,
% 12.76/9.04 (~always188(s5)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16570, 16566])).
% 12.76/9.04 tff(16572,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s4, s5)) | always188(s5) | (~always188(s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s4, s5)) | always188(s5) | (~always188(s4)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16573,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s4, s5)) | always188(s5) | (~always188(s4)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16574,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s4, s5)) | always188(s5) | (~always188(s4))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16573, 16572])).
% 12.76/9.04 tff(16575,plain,
% 12.76/9.04 (always188(s5) | (~always188(s4))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16574, 16548, 1043])).
% 12.76/9.04 tff(16576,plain,
% 12.76/9.04 (~always188(s4)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16575, 16571])).
% 12.76/9.04 tff(16577,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s3, s4)) | always188(s4) | (~always188(s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s3, s4)) | always188(s4) | (~always188(s3)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16578,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s3, s4)) | always188(s4) | (~always188(s3)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16579,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s3, s4)) | always188(s4) | (~always188(s3))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 12.76/9.04 tff(16580,plain,
% 12.76/9.04 (always188(s4) | (~always188(s3))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16579, 16548, 911])).
% 12.76/9.04 tff(16581,plain,
% 12.76/9.04 (~always188(s3)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16580, 16576])).
% 12.76/9.04 tff(16582,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s2, s3)) | always188(s3) | (~always188(s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s2, s3)) | always188(s3) | (~always188(s2)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16583,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s2, s3)) | always188(s3) | (~always188(s2)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16584,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s2, s3)) | always188(s3) | (~always188(s2))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16583, 16582])).
% 12.76/9.04 tff(16585,plain,
% 12.76/9.04 (always188(s3) | (~always188(s2))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16584, 16548, 480])).
% 12.76/9.04 tff(16586,plain,
% 12.76/9.04 (~always188(s2)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16585, 16581])).
% 12.76/9.04 tff(16587,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s1, s2)) | always188(s2) | (~always188(s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s1, s2)) | always188(s2) | (~always188(s1)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16588,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s1, s2)) | always188(s2) | (~always188(s1)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16589,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s1, s2)) | always188(s2) | (~always188(s1))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 12.76/9.04 tff(16590,plain,
% 12.76/9.04 (always188(s2) | (~always188(s1))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16589, 16548, 271])).
% 12.76/9.04 tff(16591,plain,
% 12.76/9.04 (~always188(s1)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16590, 16586])).
% 12.76/9.04 tff(16592,plain,
% 12.76/9.04 (^[X: $i] : refl((always188(X) | (~node189(X))) <=> (always188(X) | (~node189(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16593,plain,
% 12.76/9.04 (![X: $i] : (always188(X) | (~node189(X))) <=> ![X: $i] : (always188(X) | (~node189(X)))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16592])).
% 12.76/9.04 tff(16594,plain,
% 12.76/9.04 (![X: $i] : (always188(X) | (~node189(X))) <=> ![X: $i] : (always188(X) | (~node189(X)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16595,axiom,(![X: $i] : (always188(X) | (~node189(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 12.76/9.04 tff(16596,plain,
% 12.76/9.04 (![X: $i] : (always188(X) | (~node189(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16595, 16594])).
% 12.76/9.04 tff(16597,plain,(
% 12.76/9.04 ![X: $i] : (always188(X) | (~node189(X)))),
% 12.76/9.04 inference(skolemize,[status(sab)],[16596])).
% 12.76/9.04 tff(16598,plain,
% 12.76/9.04 (![X: $i] : (always188(X) | (~node189(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16597, 16593])).
% 12.76/9.04 tff(16599,plain,
% 12.76/9.04 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s1) | (~node189(s1)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s1) | (~node189(s1)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16600,plain,
% 12.76/9.04 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s1) | (~node189(s1)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16601,plain,
% 12.76/9.04 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s1) | (~node189(s1))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 12.76/9.04 tff(16602,plain,
% 12.76/9.04 (~node189(s1)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16601, 16598, 16591])).
% 12.76/9.04 tff(16603,plain,
% 12.76/9.04 (^[X: $i] : refl((node189(X) | until276(X) | (~node280(X))) <=> (node189(X) | until276(X) | (~node280(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
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% 12.76/9.04 inference(quant_intro,[status(thm)],[16603])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(bind,[status(th)],[])).
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% 12.76/9.04 inference(quant_intro,[status(thm)],[16606])).
% 12.76/9.04 tff(16608,axiom,(![X: $i] : ((node189(X) | until276(X)) | (~node280(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty207')).
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% 12.76/9.04 inference(modus_ponens,[status(thm)],[16608, 16607])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(modus_ponens,[status(thm)],[16614, 16613])).
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% 12.76/9.04 inference(unit_resolution,[status(thm)],[16615, 16612, 16602])).
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% 12.76/9.04 inference(unit_resolution,[status(thm)],[16616, 16523])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(rewrite,[status(thm)],[])).
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% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.04 (~node189(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16683, 16598, 16538])).
% 12.76/9.04 tff(16685,plain,
% 12.76/9.04 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s9) | until276(s9) | (~node280(s9)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s9) | until276(s9) | (~node280(s9)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16686,plain,
% 12.76/9.04 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s9) | until276(s9) | (~node280(s9)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16687,plain,
% 12.76/9.04 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s9) | until276(s9) | (~node280(s9))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 12.76/9.04 tff(16688,plain,
% 12.76/9.04 (until276(s9) | (~node280(s9))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16687, 16612, 16684])).
% 12.76/9.04 tff(16689,plain,
% 12.76/9.04 (~node280(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16688, 16409])).
% 12.76/9.04 tff(16690,plain,
% 12.76/9.04 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil282(X))) <=> (loop | (~last(X)) | (~xuntil282(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16691,plain,
% 12.76/9.04 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16690])).
% 12.76/9.04 tff(16692,plain,
% 12.76/9.04 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16693,plain,
% 12.76/9.04 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil282(X))) <=> (loop | (~last(X)) | (~xuntil282(X))))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16694,plain,
% 12.76/9.04 (![X: $i] : ((loop | (~last(X))) | (~xuntil282(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16693])).
% 12.76/9.04 tff(16695,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil282(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty210')).
% 12.76/9.04 tff(16696,plain,
% 12.76/9.04 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16695, 16694])).
% 12.76/9.04 tff(16697,plain,
% 12.76/9.04 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16696, 16692])).
% 12.76/9.04 tff(16698,plain,(
% 12.76/9.04 ![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(skolemize,[status(sab)],[16697])).
% 12.76/9.04 tff(16699,plain,
% 12.76/9.04 (![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16698, 16691])).
% 12.76/9.04 tff(16700,plain,
% 12.76/9.04 (((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | (loop | (~last(s9)) | (~xuntil282(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | loop | (~last(s9)) | (~xuntil282(s9)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16701,plain,
% 12.76/9.04 ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | (loop | (~last(s9)) | (~xuntil282(s9)))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16702,plain,
% 12.76/9.04 ((~![X: $i] : (loop | (~last(X)) | (~xuntil282(X)))) | loop | (~last(s9)) | (~xuntil282(s9))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16701, 16700])).
% 12.76/9.04 tff(16703,plain,
% 12.76/9.04 (loop | (~xuntil282(s9))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16702, 12530, 16699])).
% 12.76/9.04 tff(16704,plain,
% 12.76/9.04 (~xuntil282(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16703, 12517])).
% 12.76/9.04 tff(16705,plain,
% 12.76/9.04 (^[X: $i] : refl((node280(X) | (~until281(X)) | xuntil282(X)) <=> (node280(X) | (~until281(X)) | xuntil282(X)))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16706,plain,
% 12.76/9.04 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X)) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16705])).
% 12.76/9.04 tff(16707,plain,
% 12.76/9.04 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X)) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16708,plain,
% 12.76/9.04 (^[X: $i] : rewrite(((node280(X) | xuntil282(X)) | (~until281(X))) <=> (node280(X) | (~until281(X)) | xuntil282(X)))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16709,plain,
% 12.76/9.04 (![X: $i] : ((node280(X) | xuntil282(X)) | (~until281(X))) <=> ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16708])).
% 12.76/9.04 tff(16710,axiom,(![X: $i] : ((node280(X) | xuntil282(X)) | (~until281(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty208')).
% 12.76/9.04 tff(16711,plain,
% 12.76/9.04 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 12.76/9.04 tff(16712,plain,
% 12.76/9.04 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16711, 16707])).
% 12.76/9.04 tff(16713,plain,(
% 12.76/9.04 ![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(skolemize,[status(sab)],[16712])).
% 12.76/9.04 tff(16714,plain,
% 12.76/9.04 (![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16713, 16706])).
% 12.76/9.04 tff(16715,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s9) | node280(s9) | (~until281(s9)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16716,plain,
% 12.76/9.04 ((node280(s9) | (~until281(s9)) | xuntil282(s9)) <=> (xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16717,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s9) | node280(s9) | (~until281(s9))))),
% 12.76/9.04 inference(monotonicity,[status(thm)],[16716])).
% 12.76/9.04 tff(16718,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9)))),
% 12.76/9.04 inference(transitivity,[status(thm)],[16717, 16715])).
% 12.76/9.04 tff(16719,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s9) | (~until281(s9)) | xuntil282(s9))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16720,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s9) | node280(s9) | (~until281(s9))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 12.76/9.04 tff(16721,plain,
% 12.76/9.04 (node280(s9) | (~until281(s9))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16720, 16714, 16704])).
% 12.76/9.04 tff(16722,plain,
% 12.76/9.04 (~until281(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16721, 16689])).
% 12.76/9.04 tff(16723,plain,
% 12.76/9.04 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16724,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16723])).
% 12.76/9.04 tff(16725,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16726,plain,
% 12.76/9.04 (^[Y: $i, X: $i] : rewrite(((until281(Y) | (~succ(X, Y))) | (~xuntil282(X))) <=> ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y)))),
% 12.76/9.04 inference(bind,[status(th)],[])).
% 12.76/9.04 tff(16727,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((until281(Y) | (~succ(X, Y))) | (~xuntil282(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(quant_intro,[status(thm)],[16726])).
% 12.76/9.04 tff(16728,axiom,(![Y: $i, X: $i] : ((until281(Y) | (~succ(X, Y))) | (~xuntil282(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty209')).
% 12.76/9.04 tff(16729,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 12.76/9.04 tff(16730,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16729, 16725])).
% 12.76/9.04 tff(16731,plain,(
% 12.76/9.04 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(skolemize,[status(sab)],[16730])).
% 12.76/9.04 tff(16732,plain,
% 12.76/9.04 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16731, 16724])).
% 12.76/9.04 tff(16733,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16734,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16735,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s8, s9)) | (~xuntil282(s8)) | until281(s9)),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 12.76/9.04 tff(16736,plain,
% 12.76/9.04 ((~xuntil282(s8)) | until281(s9)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16735, 4958, 16732])).
% 12.76/9.04 tff(16737,plain,
% 12.76/9.04 (~xuntil282(s8)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16736, 16722])).
% 12.76/9.04 tff(16738,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s8) | node280(s8) | (~until281(s8)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16739,plain,
% 12.76/9.04 ((node280(s8) | (~until281(s8)) | xuntil282(s8)) <=> (xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16740,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s8) | node280(s8) | (~until281(s8))))),
% 12.76/9.04 inference(monotonicity,[status(thm)],[16739])).
% 12.76/9.04 tff(16741,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8)))),
% 12.76/9.04 inference(transitivity,[status(thm)],[16740, 16738])).
% 12.76/9.04 tff(16742,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s8) | (~until281(s8)) | xuntil282(s8))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16743,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s8) | node280(s8) | (~until281(s8))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 12.76/9.04 tff(16744,plain,
% 12.76/9.04 (node280(s8) | (~until281(s8))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16743, 16714, 16737])).
% 12.76/9.04 tff(16745,plain,
% 12.76/9.04 (~until281(s8)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16744, 16680])).
% 12.76/9.04 tff(16746,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16747,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16748,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s7, s8)) | (~xuntil282(s7)) | until281(s8)),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 12.76/9.04 tff(16749,plain,
% 12.76/9.04 ((~xuntil282(s7)) | until281(s8)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16748, 4826, 16732])).
% 12.76/9.04 tff(16750,plain,
% 12.76/9.04 (~xuntil282(s7)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16749, 16745])).
% 12.76/9.04 tff(16751,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s7) | node280(s7) | (~until281(s7)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16752,plain,
% 12.76/9.04 ((node280(s7) | (~until281(s7)) | xuntil282(s7)) <=> (xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16753,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s7) | node280(s7) | (~until281(s7))))),
% 12.76/9.04 inference(monotonicity,[status(thm)],[16752])).
% 12.76/9.04 tff(16754,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7)))),
% 12.76/9.04 inference(transitivity,[status(thm)],[16753, 16751])).
% 12.76/9.04 tff(16755,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s7) | (~until281(s7)) | xuntil282(s7))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16756,plain,
% 12.76/9.04 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s7) | node280(s7) | (~until281(s7))),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16755, 16754])).
% 12.76/9.04 tff(16757,plain,
% 12.76/9.04 (node280(s7) | (~until281(s7))),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16756, 16714, 16750])).
% 12.76/9.04 tff(16758,plain,
% 12.76/9.04 (~until281(s7)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16757, 16671])).
% 12.76/9.04 tff(16759,plain,
% 12.76/9.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16760,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7))),
% 12.76/9.04 inference(quant_inst,[status(thm)],[])).
% 12.76/9.04 tff(16761,plain,
% 12.76/9.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s6, s7)) | (~xuntil282(s6)) | until281(s7)),
% 12.76/9.04 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 12.76/9.04 tff(16762,plain,
% 12.76/9.04 ((~xuntil282(s6)) | until281(s7)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16761, 2091, 16732])).
% 12.76/9.04 tff(16763,plain,
% 12.76/9.04 (~xuntil282(s6)),
% 12.76/9.04 inference(unit_resolution,[status(thm)],[16762, 16758])).
% 12.76/9.04 tff(16764,plain,
% 12.76/9.04 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s6) | node280(s6) | (~until281(s6)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.04 tff(16765,plain,
% 12.76/9.04 ((node280(s6) | (~until281(s6)) | xuntil282(s6)) <=> (xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.76/9.04 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16766,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s6) | node280(s6) | (~until281(s6))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16765])).
% 12.76/9.05 tff(16767,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16766, 16764])).
% 12.76/9.05 tff(16768,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s6) | (~until281(s6)) | xuntil282(s6))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16769,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s6) | node280(s6) | (~until281(s6))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 12.76/9.05 tff(16770,plain,
% 12.76/9.05 (node280(s6) | (~until281(s6))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16769, 16714, 16763])).
% 12.76/9.05 tff(16771,plain,
% 12.76/9.05 (~until281(s6)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16770, 16662])).
% 12.76/9.05 tff(16772,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16773,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16774,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s5, s6)) | (~xuntil282(s5)) | until281(s6)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 12.76/9.05 tff(16775,plain,
% 12.76/9.05 ((~xuntil282(s5)) | until281(s6)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16774, 10, 16732])).
% 12.76/9.05 tff(16776,plain,
% 12.76/9.05 (~xuntil282(s5)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16775, 16771])).
% 12.76/9.05 tff(16777,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s5) | node280(s5) | (~until281(s5)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16778,plain,
% 12.76/9.05 ((node280(s5) | (~until281(s5)) | xuntil282(s5)) <=> (xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16779,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s5) | node280(s5) | (~until281(s5))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16778])).
% 12.76/9.05 tff(16780,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16779, 16777])).
% 12.76/9.05 tff(16781,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s5) | (~until281(s5)) | xuntil282(s5))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16782,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s5) | node280(s5) | (~until281(s5))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16781, 16780])).
% 12.76/9.05 tff(16783,plain,
% 12.76/9.05 (node280(s5) | (~until281(s5))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16782, 16714, 16776])).
% 12.76/9.05 tff(16784,plain,
% 12.76/9.05 (~until281(s5)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16783, 16653])).
% 12.76/9.05 tff(16785,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16786,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16787,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s4, s5)) | (~xuntil282(s4)) | until281(s5)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 12.76/9.05 tff(16788,plain,
% 12.76/9.05 ((~xuntil282(s4)) | until281(s5)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16787, 1039, 16732])).
% 12.76/9.05 tff(16789,plain,
% 12.76/9.05 (~xuntil282(s4)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16788, 16784])).
% 12.76/9.05 tff(16790,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s4) | node280(s4) | (~until281(s4)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16791,plain,
% 12.76/9.05 ((node280(s4) | (~until281(s4)) | xuntil282(s4)) <=> (xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16792,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s4) | node280(s4) | (~until281(s4))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16791])).
% 12.76/9.05 tff(16793,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16792, 16790])).
% 12.76/9.05 tff(16794,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s4) | (~until281(s4)) | xuntil282(s4))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16795,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s4) | node280(s4) | (~until281(s4))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 12.76/9.05 tff(16796,plain,
% 12.76/9.05 (node280(s4) | (~until281(s4))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16795, 16714, 16789])).
% 12.76/9.05 tff(16797,plain,
% 12.76/9.05 (~until281(s4)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16796, 16644])).
% 12.76/9.05 tff(16798,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16799,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16800,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s3, s4)) | (~xuntil282(s3)) | until281(s4)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16799, 16798])).
% 12.76/9.05 tff(16801,plain,
% 12.76/9.05 ((~xuntil282(s3)) | until281(s4)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16800, 907, 16732])).
% 12.76/9.05 tff(16802,plain,
% 12.76/9.05 (~xuntil282(s3)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16801, 16797])).
% 12.76/9.05 tff(16803,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s3) | node280(s3) | (~until281(s3)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16804,plain,
% 12.76/9.05 ((node280(s3) | (~until281(s3)) | xuntil282(s3)) <=> (xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16805,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s3) | node280(s3) | (~until281(s3))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16804])).
% 12.76/9.05 tff(16806,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16805, 16803])).
% 12.76/9.05 tff(16807,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s3) | (~until281(s3)) | xuntil282(s3))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16808,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s3) | node280(s3) | (~until281(s3))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16807, 16806])).
% 12.76/9.05 tff(16809,plain,
% 12.76/9.05 (node280(s3) | (~until281(s3))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16808, 16714, 16802])).
% 12.76/9.05 tff(16810,plain,
% 12.76/9.05 (~until281(s3)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16809, 16635])).
% 12.76/9.05 tff(16811,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16812,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16813,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s2, s3)) | (~xuntil282(s2)) | until281(s3)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 12.76/9.05 tff(16814,plain,
% 12.76/9.05 ((~xuntil282(s2)) | until281(s3)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16813, 476, 16732])).
% 12.76/9.05 tff(16815,plain,
% 12.76/9.05 (~xuntil282(s2)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16814, 16810])).
% 12.76/9.05 tff(16816,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s2) | node280(s2) | (~until281(s2)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16817,plain,
% 12.76/9.05 ((node280(s2) | (~until281(s2)) | xuntil282(s2)) <=> (xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16818,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s2) | node280(s2) | (~until281(s2))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16817])).
% 12.76/9.05 tff(16819,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16818, 16816])).
% 12.76/9.05 tff(16820,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s2) | (~until281(s2)) | xuntil282(s2))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16821,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s2) | node280(s2) | (~until281(s2))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16820, 16819])).
% 12.76/9.05 tff(16822,plain,
% 12.76/9.05 (node280(s2) | (~until281(s2))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16821, 16714, 16815])).
% 12.76/9.05 tff(16823,plain,
% 12.76/9.05 (~until281(s2)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16822, 16626])).
% 12.76/9.05 tff(16824,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16825,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16826,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s1, s2)) | (~xuntil282(s1)) | until281(s2)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16825, 16824])).
% 12.76/9.05 tff(16827,plain,
% 12.76/9.05 ((~xuntil282(s1)) | until281(s2)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16826, 267, 16732])).
% 12.76/9.05 tff(16828,plain,
% 12.76/9.05 (~xuntil282(s1)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16827, 16823])).
% 12.76/9.05 tff(16829,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s1) | node280(s1) | (~until281(s1)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16830,plain,
% 12.76/9.05 ((node280(s1) | (~until281(s1)) | xuntil282(s1)) <=> (xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16831,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s1) | node280(s1) | (~until281(s1))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16830])).
% 12.76/9.05 tff(16832,plain,
% 12.76/9.05 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16831, 16829])).
% 12.76/9.05 tff(16833,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s1) | (~until281(s1)) | xuntil282(s1))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16834,plain,
% 12.76/9.05 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s1) | node280(s1) | (~until281(s1))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16833, 16832])).
% 12.76/9.05 tff(16835,plain,
% 12.76/9.05 (node280(s1) | (~until281(s1))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16834, 16714, 16828])).
% 12.76/9.05 tff(16836,plain,
% 12.76/9.05 (~until281(s1)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16835, 16617])).
% 12.76/9.05 tff(16837,plain,
% 12.76/9.05 (^[X: $i] : refl((loop | (~last(X)) | (~always186(X))) <=> (loop | (~last(X)) | (~always186(X))))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16838,plain,
% 12.76/9.05 (![X: $i] : (loop | (~last(X)) | (~always186(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16837])).
% 12.76/9.05 tff(16839,plain,
% 12.76/9.05 (![X: $i] : (loop | (~last(X)) | (~always186(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16840,plain,
% 12.76/9.05 (^[X: $i] : rewrite(((loop | (~always186(X))) | (~last(X))) <=> (loop | (~last(X)) | (~always186(X))))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16841,plain,
% 12.76/9.05 (![X: $i] : ((loop | (~always186(X))) | (~last(X))) <=> ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16840])).
% 12.76/9.05 tff(16842,axiom,(![X: $i] : ((loop | (~always186(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 12.76/9.05 tff(16843,plain,
% 12.76/9.05 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 12.76/9.05 tff(16844,plain,
% 12.76/9.05 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16843, 16839])).
% 12.76/9.05 tff(16845,plain,(
% 12.76/9.05 ![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(skolemize,[status(sab)],[16844])).
% 12.76/9.05 tff(16846,plain,
% 12.76/9.05 (![X: $i] : (loop | (~last(X)) | (~always186(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16845, 16838])).
% 12.76/9.05 tff(16847,plain,
% 12.76/9.05 (((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | (loop | (~last(s9)) | (~always186(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | loop | (~last(s9)) | (~always186(s9)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16848,plain,
% 12.76/9.05 ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | (loop | (~last(s9)) | (~always186(s9)))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16849,plain,
% 12.76/9.05 ((~![X: $i] : (loop | (~last(X)) | (~always186(X)))) | loop | (~last(s9)) | (~always186(s9))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 12.76/9.05 tff(16850,plain,
% 12.76/9.05 (loop | (~always186(s9))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16849, 12530, 16846])).
% 12.76/9.05 tff(16851,plain,
% 12.76/9.05 (~always186(s9)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16850, 12517])).
% 12.76/9.05 tff(16852,plain,
% 12.76/9.05 (^[Y: $i, X: $i] : refl(((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ((~always186(X)) | (~trans(X, Y)) | always186(Y)))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16853,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16852])).
% 12.76/9.05 tff(16854,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y)) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16855,plain,
% 12.76/9.05 (^[Y: $i, X: $i] : rewrite(((always186(Y) | (~trans(X, Y))) | (~always186(X))) <=> ((~always186(X)) | (~trans(X, Y)) | always186(Y)))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16856,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((always186(Y) | (~trans(X, Y))) | (~always186(X))) <=> ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16855])).
% 12.76/9.05 tff(16857,axiom,(![Y: $i, X: $i] : ((always186(Y) | (~trans(X, Y))) | (~always186(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 12.76/9.05 tff(16858,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16857, 16856])).
% 12.76/9.05 tff(16859,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16858, 16854])).
% 12.76/9.05 tff(16860,plain,(
% 12.76/9.05 ![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(skolemize,[status(sab)],[16859])).
% 12.76/9.05 tff(16861,plain,
% 12.76/9.05 (![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16860, 16853])).
% 12.76/9.05 tff(16862,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (always186(s9) | (~trans(s8, s9)) | (~always186(s8)))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16863,plain,
% 12.76/9.05 (((~always186(s8)) | (~trans(s8, s9)) | always186(s9)) <=> (always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16864,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (always186(s9) | (~trans(s8, s9)) | (~always186(s8))))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16863])).
% 12.76/9.05 tff(16865,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8)))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16864, 16862])).
% 12.76/9.05 tff(16866,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s8)) | (~trans(s8, s9)) | always186(s9))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16867,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | always186(s9) | (~trans(s8, s9)) | (~always186(s8))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 12.76/9.05 tff(16868,plain,
% 12.76/9.05 (always186(s9) | (~always186(s8))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16867, 16861, 4962])).
% 12.76/9.05 tff(16869,plain,
% 12.76/9.05 (~always186(s8)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16868, 16851])).
% 12.76/9.05 tff(16870,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s7, s8)) | (~always186(s7)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16871,plain,
% 12.76/9.05 (((~always186(s7)) | (~trans(s7, s8)) | always186(s8)) <=> ((~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16872,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s7, s8)) | (~always186(s7)) | always186(s8)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16871])).
% 12.76/9.05 tff(16873,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16872, 16870])).
% 12.76/9.05 tff(16874,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s7)) | (~trans(s7, s8)) | always186(s8))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16875,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s7, s8)) | (~always186(s7)) | always186(s8)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 12.76/9.05 tff(16876,plain,
% 12.76/9.05 ((~always186(s7)) | always186(s8)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16875, 16861, 4830])).
% 12.76/9.05 tff(16877,plain,
% 12.76/9.05 (~always186(s7)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16876, 16869])).
% 12.76/9.05 tff(16878,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s6, s7)) | (~always186(s6)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16879,plain,
% 12.76/9.05 (((~always186(s6)) | (~trans(s6, s7)) | always186(s7)) <=> ((~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16880,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s6, s7)) | (~always186(s6)) | always186(s7)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16879])).
% 12.76/9.05 tff(16881,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16880, 16878])).
% 12.76/9.05 tff(16882,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s6)) | (~trans(s6, s7)) | always186(s7))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16883,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s6, s7)) | (~always186(s6)) | always186(s7)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16882, 16881])).
% 12.76/9.05 tff(16884,plain,
% 12.76/9.05 ((~always186(s6)) | always186(s7)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16883, 16861, 2095])).
% 12.76/9.05 tff(16885,plain,
% 12.76/9.05 (~always186(s6)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16884, 16877])).
% 12.76/9.05 tff(16886,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s5, s6)) | (~always186(s5)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16887,plain,
% 12.76/9.05 (((~always186(s5)) | (~trans(s5, s6)) | always186(s6)) <=> ((~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16888,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s5, s6)) | (~always186(s5)) | always186(s6)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16887])).
% 12.76/9.05 tff(16889,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16888, 16886])).
% 12.76/9.05 tff(16890,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s5)) | (~trans(s5, s6)) | always186(s6))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16891,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s5, s6)) | (~always186(s5)) | always186(s6)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 12.76/9.05 tff(16892,plain,
% 12.76/9.05 ((~always186(s5)) | always186(s6)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16891, 16861, 14])).
% 12.76/9.05 tff(16893,plain,
% 12.76/9.05 (~always186(s5)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16892, 16885])).
% 12.76/9.05 tff(16894,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s4, s5)) | (~always186(s4)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16895,plain,
% 12.76/9.05 (((~always186(s4)) | (~trans(s4, s5)) | always186(s5)) <=> ((~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16896,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s4, s5)) | (~always186(s4)) | always186(s5)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16895])).
% 12.76/9.05 tff(16897,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16896, 16894])).
% 12.76/9.05 tff(16898,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s4)) | (~trans(s4, s5)) | always186(s5))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16899,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s4, s5)) | (~always186(s4)) | always186(s5)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 12.76/9.05 tff(16900,plain,
% 12.76/9.05 ((~always186(s4)) | always186(s5)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16899, 16861, 1043])).
% 12.76/9.05 tff(16901,plain,
% 12.76/9.05 (~always186(s4)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16900, 16893])).
% 12.76/9.05 tff(16902,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s3, s4)) | (~always186(s3)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16903,plain,
% 12.76/9.05 (((~always186(s3)) | (~trans(s3, s4)) | always186(s4)) <=> ((~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16904,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s3, s4)) | (~always186(s3)) | always186(s4)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16903])).
% 12.76/9.05 tff(16905,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16904, 16902])).
% 12.76/9.05 tff(16906,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s3)) | (~trans(s3, s4)) | always186(s4))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16907,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s3, s4)) | (~always186(s3)) | always186(s4)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 12.76/9.05 tff(16908,plain,
% 12.76/9.05 ((~always186(s3)) | always186(s4)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16907, 16861, 911])).
% 12.76/9.05 tff(16909,plain,
% 12.76/9.05 (~always186(s3)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16908, 16901])).
% 12.76/9.05 tff(16910,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s2, s3)) | (~always186(s2)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16911,plain,
% 12.76/9.05 (((~always186(s2)) | (~trans(s2, s3)) | always186(s3)) <=> ((~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16912,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s2, s3)) | (~always186(s2)) | always186(s3)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16911])).
% 12.76/9.05 tff(16913,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16912, 16910])).
% 12.76/9.05 tff(16914,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s2)) | (~trans(s2, s3)) | always186(s3))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16915,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s2, s3)) | (~always186(s2)) | always186(s3)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 12.76/9.05 tff(16916,plain,
% 12.76/9.05 ((~always186(s2)) | always186(s3)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16915, 16861, 480])).
% 12.76/9.05 tff(16917,plain,
% 12.76/9.05 (~always186(s2)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16916, 16909])).
% 12.76/9.05 tff(16918,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s1, s2)) | (~always186(s1)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16919,plain,
% 12.76/9.05 (((~always186(s1)) | (~trans(s1, s2)) | always186(s2)) <=> ((~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16920,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s1, s2)) | (~always186(s1)) | always186(s2)))),
% 12.76/9.05 inference(monotonicity,[status(thm)],[16919])).
% 12.76/9.05 tff(16921,plain,
% 12.76/9.05 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2))),
% 12.76/9.05 inference(transitivity,[status(thm)],[16920, 16918])).
% 12.76/9.05 tff(16922,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s1)) | (~trans(s1, s2)) | always186(s2))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16923,plain,
% 12.76/9.05 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s1, s2)) | (~always186(s1)) | always186(s2)),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 12.76/9.05 tff(16924,plain,
% 12.76/9.05 ((~always186(s1)) | always186(s2)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16923, 16861, 271])).
% 12.76/9.05 tff(16925,plain,
% 12.76/9.05 (~always186(s1)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16924, 16917])).
% 12.76/9.05 tff(16926,plain,
% 12.76/9.05 (^[X: $i] : refl((always186(X) | (~node187(X))) <=> (always186(X) | (~node187(X))))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16927,plain,
% 12.76/9.05 (![X: $i] : (always186(X) | (~node187(X))) <=> ![X: $i] : (always186(X) | (~node187(X)))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16926])).
% 12.76/9.05 tff(16928,plain,
% 12.76/9.05 (![X: $i] : (always186(X) | (~node187(X))) <=> ![X: $i] : (always186(X) | (~node187(X)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16929,axiom,(![X: $i] : (always186(X) | (~node187(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 12.76/9.05 tff(16930,plain,
% 12.76/9.05 (![X: $i] : (always186(X) | (~node187(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 12.76/9.05 tff(16931,plain,(
% 12.76/9.05 ![X: $i] : (always186(X) | (~node187(X)))),
% 12.76/9.05 inference(skolemize,[status(sab)],[16930])).
% 12.76/9.05 tff(16932,plain,
% 12.76/9.05 (![X: $i] : (always186(X) | (~node187(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16931, 16927])).
% 12.76/9.05 tff(16933,plain,
% 12.76/9.05 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s1) | (~node187(s1)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s1) | (~node187(s1)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16934,plain,
% 12.76/9.05 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s1) | (~node187(s1)))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16935,plain,
% 12.76/9.05 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s1) | (~node187(s1))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 12.76/9.05 tff(16936,plain,
% 12.76/9.05 (~node187(s1)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16935, 16932, 16925])).
% 12.76/9.05 tff(16937,plain,
% 12.76/9.05 (^[X: $i] : refl((node187(X) | until281(X) | (~node285(X))) <=> (node187(X) | until281(X) | (~node285(X))))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16938,plain,
% 12.76/9.05 (![X: $i] : (node187(X) | until281(X) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16937])).
% 12.76/9.05 tff(16939,plain,
% 12.76/9.05 (![X: $i] : (node187(X) | until281(X) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16940,plain,
% 12.76/9.05 (^[X: $i] : rewrite(((node187(X) | until281(X)) | (~node285(X))) <=> (node187(X) | until281(X) | (~node285(X))))),
% 12.76/9.05 inference(bind,[status(th)],[])).
% 12.76/9.05 tff(16941,plain,
% 12.76/9.05 (![X: $i] : ((node187(X) | until281(X)) | (~node285(X))) <=> ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(quant_intro,[status(thm)],[16940])).
% 12.76/9.05 tff(16942,axiom,(![X: $i] : ((node187(X) | until281(X)) | (~node285(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty215')).
% 12.76/9.05 tff(16943,plain,
% 12.76/9.05 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16942, 16941])).
% 12.76/9.05 tff(16944,plain,
% 12.76/9.05 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16943, 16939])).
% 12.76/9.05 tff(16945,plain,(
% 12.76/9.05 ![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(skolemize,[status(sab)],[16944])).
% 12.76/9.05 tff(16946,plain,
% 12.76/9.05 (![X: $i] : (node187(X) | until281(X) | (~node285(X)))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16945, 16938])).
% 12.76/9.05 tff(16947,plain,
% 12.76/9.05 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s1) | until281(s1) | (~node285(s1)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s1) | until281(s1) | (~node285(s1)))),
% 12.76/9.05 inference(rewrite,[status(thm)],[])).
% 12.76/9.05 tff(16948,plain,
% 12.76/9.05 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s1) | until281(s1) | (~node285(s1)))),
% 12.76/9.05 inference(quant_inst,[status(thm)],[])).
% 12.76/9.05 tff(16949,plain,
% 12.76/9.05 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s1) | until281(s1) | (~node285(s1))),
% 12.76/9.05 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 12.76/9.05 tff(16950,plain,
% 12.76/9.05 (until281(s1) | (~node285(s1))),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16949, 16946, 16936])).
% 12.76/9.05 tff(16951,plain,
% 12.76/9.05 (~node285(s1)),
% 12.76/9.05 inference(unit_resolution,[status(thm)],[16950, 16836])).
% 12.76/9.05 tff(16952,plain,
% 12.76/9.06 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s2) | (~node187(s2)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s2) | (~node187(s2)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(16953,plain,
% 12.76/9.06 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s2) | (~node187(s2)))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(16954,plain,
% 12.76/9.06 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s2) | (~node187(s2))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 12.76/9.06 tff(16955,plain,
% 12.76/9.06 (~node187(s2)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16954, 16932, 16917])).
% 12.76/9.06 tff(16956,plain,
% 12.76/9.06 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s2) | until281(s2) | (~node285(s2)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s2) | until281(s2) | (~node285(s2)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(16957,plain,
% 12.76/9.06 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s2) | until281(s2) | (~node285(s2)))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(16958,plain,
% 12.76/9.06 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s2) | until281(s2) | (~node285(s2))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 12.76/9.06 tff(16959,plain,
% 12.76/9.06 (until281(s2) | (~node285(s2))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16958, 16946, 16955])).
% 12.76/9.06 tff(16960,plain,
% 12.76/9.06 (~node285(s2)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16959, 16823])).
% 12.76/9.06 tff(16961,plain,
% 12.76/9.06 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s3) | (~node187(s3)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s3) | (~node187(s3)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(16962,plain,
% 12.76/9.06 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s3) | (~node187(s3)))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(16963,plain,
% 12.76/9.06 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s3) | (~node187(s3))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 12.76/9.06 tff(16964,plain,
% 12.76/9.06 (~node187(s3)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16963, 16932, 16909])).
% 12.76/9.06 tff(16965,plain,
% 12.76/9.06 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s3) | until281(s3) | (~node285(s3)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s3) | until281(s3) | (~node285(s3)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(16966,plain,
% 12.76/9.06 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s3) | until281(s3) | (~node285(s3)))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(16967,plain,
% 12.76/9.06 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s3) | until281(s3) | (~node285(s3))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 12.76/9.06 tff(16968,plain,
% 12.76/9.06 (until281(s3) | (~node285(s3))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16967, 16946, 16964])).
% 12.76/9.06 tff(16969,plain,
% 12.76/9.06 (~node285(s3)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[16968, 16810])).
% 12.76/9.06 tff(16970,plain,
% 12.76/9.06 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s4) | (~node187(s4)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s4) | (~node187(s4)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(16971,plain,
% 12.76/9.06 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s4) | (~node187(s4)))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(16972,plain,
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% 12.76/9.06 inference(transitivity,[status(thm)],[17051, 17049])).
% 12.76/9.06 tff(17053,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s9) | (~until286(s9)) | xuntil287(s9))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17054,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s9) | node285(s9) | (~until286(s9))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 12.76/9.06 tff(17055,plain,
% 12.76/9.06 (node285(s9) | (~until286(s9))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17054, 17048, 17038])).
% 12.76/9.06 tff(17056,plain,
% 12.76/9.06 (~until286(s9)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17055, 17023])).
% 12.76/9.06 tff(17057,plain,
% 12.76/9.06 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)))),
% 12.76/9.06 inference(bind,[status(th)],[])).
% 12.76/9.06 tff(17058,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(quant_intro,[status(thm)],[17057])).
% 12.76/9.06 tff(17059,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17060,plain,
% 12.76/9.06 (^[Y: $i, X: $i] : rewrite(((until286(Y) | (~succ(X, Y))) | (~xuntil287(X))) <=> ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y)))),
% 12.76/9.06 inference(bind,[status(th)],[])).
% 12.76/9.06 tff(17061,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((until286(Y) | (~succ(X, Y))) | (~xuntil287(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(quant_intro,[status(thm)],[17060])).
% 12.76/9.06 tff(17062,axiom,(![Y: $i, X: $i] : ((until286(Y) | (~succ(X, Y))) | (~xuntil287(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty217')).
% 12.76/9.06 tff(17063,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 12.76/9.06 tff(17064,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17063, 17059])).
% 12.76/9.06 tff(17065,plain,(
% 12.76/9.06 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(skolemize,[status(sab)],[17064])).
% 12.76/9.06 tff(17066,plain,
% 12.76/9.06 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17065, 17058])).
% 12.76/9.06 tff(17067,plain,
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% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17068,plain,
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% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17069,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s8, s9)) | (~xuntil287(s8)) | until286(s9)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 12.76/9.06 tff(17070,plain,
% 12.76/9.06 ((~xuntil287(s8)) | until286(s9)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17069, 4958, 17066])).
% 12.76/9.06 tff(17071,plain,
% 12.76/9.06 (~xuntil287(s8)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17070, 17056])).
% 12.76/9.06 tff(17072,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s8) | node285(s8) | (~until286(s8)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17073,plain,
% 12.76/9.06 ((node285(s8) | (~until286(s8)) | xuntil287(s8)) <=> (xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17074,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s8) | node285(s8) | (~until286(s8))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17073])).
% 12.76/9.06 tff(17075,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17074, 17072])).
% 12.76/9.06 tff(17076,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s8) | (~until286(s8)) | xuntil287(s8))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17077,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s8) | node285(s8) | (~until286(s8))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17076, 17075])).
% 12.76/9.06 tff(17078,plain,
% 12.76/9.06 (node285(s8) | (~until286(s8))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17077, 17048, 17071])).
% 12.76/9.06 tff(17079,plain,
% 12.76/9.06 (~until286(s8)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17078, 17014])).
% 12.76/9.06 tff(17080,plain,
% 12.76/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17081,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17082,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s7, s8)) | (~xuntil287(s7)) | until286(s8)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 12.76/9.06 tff(17083,plain,
% 12.76/9.06 ((~xuntil287(s7)) | until286(s8)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17082, 4826, 17066])).
% 12.76/9.06 tff(17084,plain,
% 12.76/9.06 (~xuntil287(s7)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17083, 17079])).
% 12.76/9.06 tff(17085,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s7) | node285(s7) | (~until286(s7)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17086,plain,
% 12.76/9.06 ((node285(s7) | (~until286(s7)) | xuntil287(s7)) <=> (xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17087,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s7) | node285(s7) | (~until286(s7))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17086])).
% 12.76/9.06 tff(17088,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17087, 17085])).
% 12.76/9.06 tff(17089,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s7) | (~until286(s7)) | xuntil287(s7))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17090,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s7) | node285(s7) | (~until286(s7))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 12.76/9.06 tff(17091,plain,
% 12.76/9.06 (node285(s7) | (~until286(s7))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17090, 17048, 17084])).
% 12.76/9.06 tff(17092,plain,
% 12.76/9.06 (~until286(s7)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17091, 17005])).
% 12.76/9.06 tff(17093,plain,
% 12.76/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17094,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17095,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s6, s7)) | (~xuntil287(s6)) | until286(s7)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17094, 17093])).
% 12.76/9.06 tff(17096,plain,
% 12.76/9.06 ((~xuntil287(s6)) | until286(s7)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17095, 2091, 17066])).
% 12.76/9.06 tff(17097,plain,
% 12.76/9.06 (~xuntil287(s6)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17096, 17092])).
% 12.76/9.06 tff(17098,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s6) | node285(s6) | (~until286(s6)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17099,plain,
% 12.76/9.06 ((node285(s6) | (~until286(s6)) | xuntil287(s6)) <=> (xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17100,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s6) | node285(s6) | (~until286(s6))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17099])).
% 12.76/9.06 tff(17101,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17100, 17098])).
% 12.76/9.06 tff(17102,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s6) | (~until286(s6)) | xuntil287(s6))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17103,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s6) | node285(s6) | (~until286(s6))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 12.76/9.06 tff(17104,plain,
% 12.76/9.06 (node285(s6) | (~until286(s6))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17103, 17048, 17097])).
% 12.76/9.06 tff(17105,plain,
% 12.76/9.06 (~until286(s6)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17104, 16996])).
% 12.76/9.06 tff(17106,plain,
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% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17107,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17108,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s5, s6)) | (~xuntil287(s5)) | until286(s6)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 12.76/9.06 tff(17109,plain,
% 12.76/9.06 ((~xuntil287(s5)) | until286(s6)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17108, 10, 17066])).
% 12.76/9.06 tff(17110,plain,
% 12.76/9.06 (~xuntil287(s5)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17109, 17105])).
% 12.76/9.06 tff(17111,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s5) | node285(s5) | (~until286(s5)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17112,plain,
% 12.76/9.06 ((node285(s5) | (~until286(s5)) | xuntil287(s5)) <=> (xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17113,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s5) | node285(s5) | (~until286(s5))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17112])).
% 12.76/9.06 tff(17114,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17113, 17111])).
% 12.76/9.06 tff(17115,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s5) | (~until286(s5)) | xuntil287(s5))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17116,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s5) | node285(s5) | (~until286(s5))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17115, 17114])).
% 12.76/9.06 tff(17117,plain,
% 12.76/9.06 (node285(s5) | (~until286(s5))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17116, 17048, 17110])).
% 12.76/9.06 tff(17118,plain,
% 12.76/9.06 (~until286(s5)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17117, 16987])).
% 12.76/9.06 tff(17119,plain,
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% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17120,plain,
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% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17121,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s4, s5)) | (~xuntil287(s4)) | until286(s5)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 12.76/9.06 tff(17122,plain,
% 12.76/9.06 ((~xuntil287(s4)) | until286(s5)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17121, 1039, 17066])).
% 12.76/9.06 tff(17123,plain,
% 12.76/9.06 (~xuntil287(s4)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17122, 17118])).
% 12.76/9.06 tff(17124,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s4) | node285(s4) | (~until286(s4)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17125,plain,
% 12.76/9.06 ((node285(s4) | (~until286(s4)) | xuntil287(s4)) <=> (xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17126,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s4) | node285(s4) | (~until286(s4))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17125])).
% 12.76/9.06 tff(17127,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17126, 17124])).
% 12.76/9.06 tff(17128,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s4) | (~until286(s4)) | xuntil287(s4))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17129,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s4) | node285(s4) | (~until286(s4))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 12.76/9.06 tff(17130,plain,
% 12.76/9.06 (node285(s4) | (~until286(s4))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17129, 17048, 17123])).
% 12.76/9.06 tff(17131,plain,
% 12.76/9.06 (~until286(s4)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17130, 16978])).
% 12.76/9.06 tff(17132,plain,
% 12.76/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17133,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17134,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s3, s4)) | (~xuntil287(s3)) | until286(s4)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 12.76/9.06 tff(17135,plain,
% 12.76/9.06 ((~xuntil287(s3)) | until286(s4)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17134, 907, 17066])).
% 12.76/9.06 tff(17136,plain,
% 12.76/9.06 (~xuntil287(s3)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17135, 17131])).
% 12.76/9.06 tff(17137,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s3) | node285(s3) | (~until286(s3)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17138,plain,
% 12.76/9.06 ((node285(s3) | (~until286(s3)) | xuntil287(s3)) <=> (xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17139,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s3) | node285(s3) | (~until286(s3))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17138])).
% 12.76/9.06 tff(17140,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3)))),
% 12.76/9.06 inference(transitivity,[status(thm)],[17139, 17137])).
% 12.76/9.06 tff(17141,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s3) | (~until286(s3)) | xuntil287(s3))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17142,plain,
% 12.76/9.06 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s3) | node285(s3) | (~until286(s3))),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 12.76/9.06 tff(17143,plain,
% 12.76/9.06 (node285(s3) | (~until286(s3))),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17142, 17048, 17136])).
% 12.76/9.06 tff(17144,plain,
% 12.76/9.06 (~until286(s3)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17143, 16969])).
% 12.76/9.06 tff(17145,plain,
% 12.76/9.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17146,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3))),
% 12.76/9.06 inference(quant_inst,[status(thm)],[])).
% 12.76/9.06 tff(17147,plain,
% 12.76/9.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s2, s3)) | (~xuntil287(s2)) | until286(s3)),
% 12.76/9.06 inference(modus_ponens,[status(thm)],[17146, 17145])).
% 12.76/9.06 tff(17148,plain,
% 12.76/9.06 ((~xuntil287(s2)) | until286(s3)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17147, 476, 17066])).
% 12.76/9.06 tff(17149,plain,
% 12.76/9.06 (~xuntil287(s2)),
% 12.76/9.06 inference(unit_resolution,[status(thm)],[17148, 17144])).
% 12.76/9.06 tff(17150,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s2) | node285(s2) | (~until286(s2)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17151,plain,
% 12.76/9.06 ((node285(s2) | (~until286(s2)) | xuntil287(s2)) <=> (xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.76/9.06 inference(rewrite,[status(thm)],[])).
% 12.76/9.06 tff(17152,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s2) | node285(s2) | (~until286(s2))))),
% 12.76/9.06 inference(monotonicity,[status(thm)],[17151])).
% 12.76/9.06 tff(17153,plain,
% 12.76/9.06 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17152, 17150])).
% 12.76/9.07 tff(17154,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s2) | (~until286(s2)) | xuntil287(s2))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17155,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s2) | node285(s2) | (~until286(s2))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 12.76/9.07 tff(17156,plain,
% 12.76/9.07 (node285(s2) | (~until286(s2))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17155, 17048, 17149])).
% 12.76/9.07 tff(17157,plain,
% 12.76/9.07 (~until286(s2)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17156, 16960])).
% 12.76/9.07 tff(17158,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17159,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17160,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s1, s2)) | (~xuntil287(s1)) | until286(s2)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17159, 17158])).
% 12.76/9.07 tff(17161,plain,
% 12.76/9.07 ((~xuntil287(s1)) | until286(s2)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17160, 267, 17066])).
% 12.76/9.07 tff(17162,plain,
% 12.76/9.07 (~xuntil287(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17161, 17157])).
% 12.76/9.07 tff(17163,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s1) | node285(s1) | (~until286(s1)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17164,plain,
% 12.76/9.07 ((node285(s1) | (~until286(s1)) | xuntil287(s1)) <=> (xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17165,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s1) | node285(s1) | (~until286(s1))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17164])).
% 12.76/9.07 tff(17166,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17165, 17163])).
% 12.76/9.07 tff(17167,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s1) | (~until286(s1)) | xuntil287(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17168,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s1) | node285(s1) | (~until286(s1))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17167, 17166])).
% 12.76/9.07 tff(17169,plain,
% 12.76/9.07 (node285(s1) | (~until286(s1))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17168, 17048, 17162])).
% 12.76/9.07 tff(17170,plain,
% 12.76/9.07 (~until286(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17169, 16951])).
% 12.76/9.07 tff(17171,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17172,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | ((~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17173,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil287(X)) | until286(Y))) | (~succ(s0, s1)) | (~xuntil287(s0)) | until286(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 12.76/9.07 tff(17174,plain,
% 12.76/9.07 ((~xuntil287(s0)) | until286(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17173, 45, 17066])).
% 12.76/9.07 tff(17175,plain,
% 12.76/9.07 (~xuntil287(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17174, 17170])).
% 12.76/9.07 tff(17176,plain,
% 12.76/9.07 (until286(s0) <=> until286(s0)),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17177,axiom,(until286(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty223')).
% 12.76/9.07 tff(17178,plain,
% 12.76/9.07 (until286(s0)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17177, 17176])).
% 12.76/9.07 tff(17179,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s0) | node285(s0) | (~until286(s0)))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17180,plain,
% 12.76/9.07 ((node285(s0) | (~until286(s0)) | xuntil287(s0)) <=> (xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17181,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (xuntil287(s0) | node285(s0) | (~until286(s0))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17180])).
% 12.76/9.07 tff(17182,plain,
% 12.76/9.07 (((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))) <=> ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17181, 17179])).
% 12.76/9.07 tff(17183,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | (node285(s0) | (~until286(s0)) | xuntil287(s0))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17184,plain,
% 12.76/9.07 ((~![X: $i] : (node285(X) | (~until286(X)) | xuntil287(X))) | xuntil287(s0) | node285(s0) | (~until286(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 12.76/9.07 tff(17185,plain,
% 12.76/9.07 (xuntil287(s0) | node285(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17184, 17048, 17178])).
% 12.76/9.07 tff(17186,plain,
% 12.76/9.07 (node285(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17185, 17175])).
% 12.76/9.07 tff(17187,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s0, s1)) | (~always186(s0)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17188,plain,
% 12.76/9.07 (((~always186(s0)) | (~trans(s0, s1)) | always186(s1)) <=> ((~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17189,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~trans(s0, s1)) | (~always186(s0)) | always186(s1)))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17188])).
% 12.76/9.07 tff(17190,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))) <=> ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17189, 17187])).
% 12.76/9.07 tff(17191,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | ((~always186(s0)) | (~trans(s0, s1)) | always186(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17192,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~always186(X)) | (~trans(X, Y)) | always186(Y))) | (~trans(s0, s1)) | (~always186(s0)) | always186(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 12.76/9.07 tff(17193,plain,
% 12.76/9.07 ((~always186(s0)) | always186(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17192, 16861, 49])).
% 12.76/9.07 tff(17194,plain,
% 12.76/9.07 (~always186(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17193, 16925])).
% 12.76/9.07 tff(17195,plain,
% 12.76/9.07 (((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s0) | (~node187(s0)))) <=> ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s0) | (~node187(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17196,plain,
% 12.76/9.07 ((~![X: $i] : (always186(X) | (~node187(X)))) | (always186(s0) | (~node187(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17197,plain,
% 12.76/9.07 ((~![X: $i] : (always186(X) | (~node187(X)))) | always186(s0) | (~node187(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 12.76/9.07 tff(17198,plain,
% 12.76/9.07 (~node187(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17197, 16932, 17194])).
% 12.76/9.07 tff(17199,plain,
% 12.76/9.07 (((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s0) | until281(s0) | (~node285(s0)))) <=> ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s0) | until281(s0) | (~node285(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17200,plain,
% 12.76/9.07 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | (node187(s0) | until281(s0) | (~node285(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17201,plain,
% 12.76/9.07 ((~![X: $i] : (node187(X) | until281(X) | (~node285(X)))) | node187(s0) | until281(s0) | (~node285(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 12.76/9.07 tff(17202,plain,
% 12.76/9.07 (until281(s0) | (~node285(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17201, 16946, 17198])).
% 12.76/9.07 tff(17203,plain,
% 12.76/9.07 (until281(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17202, 17186])).
% 12.76/9.07 tff(17204,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17205,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | ((~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17206,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil282(X)) | until281(Y))) | (~succ(s0, s1)) | (~xuntil282(s0)) | until281(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 12.76/9.07 tff(17207,plain,
% 12.76/9.07 ((~xuntil282(s0)) | until281(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17206, 45, 16732])).
% 12.76/9.07 tff(17208,plain,
% 12.76/9.07 (~xuntil282(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17207, 16836])).
% 12.76/9.07 tff(17209,plain,
% 12.76/9.07 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s0) | node280(s0) | (~until281(s0)))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17210,plain,
% 12.76/9.07 ((node280(s0) | (~until281(s0)) | xuntil282(s0)) <=> (xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17211,plain,
% 12.76/9.07 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (xuntil282(s0) | node280(s0) | (~until281(s0))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17210])).
% 12.76/9.07 tff(17212,plain,
% 12.76/9.07 (((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))) <=> ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17211, 17209])).
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% 12.76/9.07 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | (node280(s0) | (~until281(s0)) | xuntil282(s0))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17214,plain,
% 12.76/9.07 ((~![X: $i] : (node280(X) | (~until281(X)) | xuntil282(X))) | xuntil282(s0) | node280(s0) | (~until281(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17213, 17212])).
% 12.76/9.07 tff(17215,plain,
% 12.76/9.07 (node280(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17214, 16714, 17208, 17203])).
% 12.76/9.07 tff(17216,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s0, s1)) | always188(s1) | (~always188(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s0, s1)) | always188(s1) | (~always188(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17217,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | ((~trans(s0, s1)) | always188(s1) | (~always188(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17218,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always188(Y) | (~always188(X)))) | (~trans(s0, s1)) | always188(s1) | (~always188(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17217, 17216])).
% 12.76/9.07 tff(17219,plain,
% 12.76/9.07 (always188(s1) | (~always188(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17218, 16548, 49])).
% 12.76/9.07 tff(17220,plain,
% 12.76/9.07 (~always188(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17219, 16591])).
% 12.76/9.07 tff(17221,plain,
% 12.76/9.07 (((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s0) | (~node189(s0)))) <=> ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s0) | (~node189(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 ((~![X: $i] : (always188(X) | (~node189(X)))) | (always188(s0) | (~node189(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17223,plain,
% 12.76/9.07 ((~![X: $i] : (always188(X) | (~node189(X)))) | always188(s0) | (~node189(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 12.76/9.07 tff(17224,plain,
% 12.76/9.07 (~node189(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17223, 16598, 17220])).
% 12.76/9.07 tff(17225,plain,
% 12.76/9.07 (((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s0) | until276(s0) | (~node280(s0)))) <=> ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s0) | until276(s0) | (~node280(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | (node189(s0) | until276(s0) | (~node280(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17227,plain,
% 12.76/9.07 ((~![X: $i] : (node189(X) | until276(X) | (~node280(X)))) | node189(s0) | until276(s0) | (~node280(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 12.76/9.07 tff(17228,plain,
% 12.76/9.07 (until276(s0) | (~node280(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17227, 16612, 17224])).
% 12.76/9.07 tff(17229,plain,
% 12.76/9.07 (until276(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17228, 17215])).
% 12.76/9.07 tff(17230,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17231,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | ((~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17232,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil277(X)) | until276(Y))) | (~succ(s0, s1)) | (~xuntil277(s0)) | until276(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17231, 17230])).
% 12.76/9.07 tff(17233,plain,
% 12.76/9.07 ((~xuntil277(s0)) | until276(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17232, 45, 16419])).
% 12.76/9.07 tff(17234,plain,
% 12.76/9.07 (~xuntil277(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17233, 16523])).
% 12.76/9.07 tff(17235,plain,
% 12.76/9.07 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s0) | node275(s0) | (~until276(s0)))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17236,plain,
% 12.76/9.07 ((node275(s0) | (~until276(s0)) | xuntil277(s0)) <=> (xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17237,plain,
% 12.76/9.07 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s0) | (~until276(s0)) | xuntil277(s0))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (xuntil277(s0) | node275(s0) | (~until276(s0))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17236])).
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% 12.76/9.07 (((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | (node275(s0) | (~until276(s0)) | xuntil277(s0))) <=> ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17237, 17235])).
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17240,plain,
% 12.76/9.07 ((~![X: $i] : (node275(X) | (~until276(X)) | xuntil277(X))) | xuntil277(s0) | node275(s0) | (~until276(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 12.76/9.07 tff(17241,plain,
% 12.76/9.07 (node275(s0) | (~until276(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17240, 16401, 17234])).
% 12.76/9.07 tff(17242,plain,
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17241, 17229])).
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% 12.76/9.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | ((~trans(s0, s1)) | always190(s1) | (~always190(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s0, s1)) | always190(s1) | (~always190(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17245,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always190(Y) | (~always190(X)))) | (~trans(s0, s1)) | always190(s1) | (~always190(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17244, 17243])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17245, 16235, 49])).
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% 12.76/9.07 (~always190(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17246, 16278])).
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% 12.76/9.07 (((~![X: $i] : (always190(X) | (~node191(X)))) | (always190(s0) | (~node191(s0)))) <=> ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s0) | (~node191(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.07 ((~![X: $i] : (always190(X) | (~node191(X)))) | always190(s0) | (~node191(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17249, 17248])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17250, 16285, 17247])).
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% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.07 inference(modus_ponens,[status(thm)],[17253, 17252])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17254, 16299, 17251])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17255, 17242])).
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% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17258,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil257(X)) | until256(Y))) | ((~succ(s0, s1)) | (~xuntil257(s0)) | until256(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17259,plain,
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% 12.76/9.07 inference(modus_ponens,[status(thm)],[17258, 17257])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17259, 45, 15168])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17260, 15271])).
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% 12.76/9.07 inference(rewrite,[status(thm)],[])).
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17264,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil252(X)) | until251(Y))) | (~succ(s0, s1)) | (~xuntil252(s0)) | until251(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 12.76/9.07 tff(17265,plain,
% 12.76/9.07 ((~xuntil252(s0)) | until251(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17264, 45, 14658])).
% 12.76/9.07 tff(17266,plain,
% 12.76/9.07 (~xuntil252(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17265, 14959])).
% 12.76/9.07 tff(17267,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17268,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | ((~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17269,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil247(X)) | until246(Y))) | (~succ(s0, s1)) | (~xuntil247(s0)) | until246(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17268, 17267])).
% 12.76/9.07 tff(17270,plain,
% 12.76/9.07 ((~xuntil247(s0)) | until246(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17269, 45, 14202])).
% 12.76/9.07 tff(17271,plain,
% 12.76/9.07 (~xuntil247(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17270, 14937])).
% 12.76/9.07 tff(17272,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17273,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | ((~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17274,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil242(X)) | until241(Y))) | (~succ(s0, s1)) | (~xuntil242(s0)) | until241(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 12.76/9.07 tff(17275,plain,
% 12.76/9.07 ((~xuntil242(s0)) | until241(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17274, 45, 13800])).
% 12.76/9.07 tff(17276,plain,
% 12.76/9.07 (~xuntil242(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17275, 14915])).
% 12.76/9.07 tff(17277,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17278,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | ((~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17279,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil237(X)) | until236(Y))) | (~succ(s0, s1)) | (~xuntil237(s0)) | until236(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 12.76/9.07 tff(17280,plain,
% 12.76/9.07 ((~xuntil237(s0)) | until236(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17279, 45, 13452])).
% 12.76/9.07 tff(17281,plain,
% 12.76/9.07 (~xuntil237(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17280, 14893])).
% 12.76/9.07 tff(17282,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17283,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | ((~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17284,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil232(X)) | until231(Y))) | (~succ(s0, s1)) | (~xuntil232(s0)) | until231(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 12.76/9.07 tff(17285,plain,
% 12.76/9.07 ((~xuntil232(s0)) | until231(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17284, 45, 13158])).
% 12.76/9.07 tff(17286,plain,
% 12.76/9.07 (~xuntil232(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17285, 14871])).
% 12.76/9.07 tff(17287,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17288,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | ((~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17289,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil227(X)) | until226(Y))) | (~succ(s0, s1)) | (~xuntil227(s0)) | until226(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17288, 17287])).
% 12.76/9.07 tff(17290,plain,
% 12.76/9.07 ((~xuntil227(s0)) | until226(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17289, 45, 12918])).
% 12.76/9.07 tff(17291,plain,
% 12.76/9.07 (~xuntil227(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17290, 14849])).
% 12.76/9.07 tff(17292,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17293,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | ((~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17294,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil222(X)) | until221(Y))) | (~succ(s0, s1)) | (~xuntil222(s0)) | until221(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 12.76/9.07 tff(17295,plain,
% 12.76/9.07 ((~xuntil222(s0)) | until221(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17294, 45, 12732])).
% 12.76/9.07 tff(17296,plain,
% 12.76/9.07 (~xuntil222(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17295, 14827])).
% 12.76/9.07 tff(17297,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17298,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | ((~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17299,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil217(X)) | until216(Y))) | (~succ(s0, s1)) | (~xuntil217(s0)) | until216(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17298, 17297])).
% 12.76/9.07 tff(17300,plain,
% 12.76/9.07 ((~xuntil217(s0)) | until216(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17299, 45, 12655])).
% 12.76/9.07 tff(17301,plain,
% 12.76/9.07 (~xuntil217(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17300, 14805])).
% 12.76/9.07 tff(17302,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s0, s1)) | (~always214(s0)) | always214(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s0, s1)) | (~always214(s0)) | always214(s1))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17303,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | ((~trans(s0, s1)) | (~always214(s0)) | always214(s1))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17304,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always214(X)) | always214(Y))) | (~trans(s0, s1)) | (~always214(s0)) | always214(s1)),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 12.76/9.07 tff(17305,plain,
% 12.76/9.07 ((~always214(s0)) | always214(s1)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17304, 12589, 49])).
% 12.76/9.07 tff(17306,plain,
% 12.76/9.07 (~always214(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17305, 14793])).
% 12.76/9.07 tff(17307,plain,
% 12.76/9.07 (((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s0) | (~node215(s0)))) <=> ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s0) | (~node215(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17308,plain,
% 12.76/9.07 ((~![X: $i] : (always214(X) | (~node215(X)))) | (always214(s0) | (~node215(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17309,plain,
% 12.76/9.07 ((~![X: $i] : (always214(X) | (~node215(X)))) | always214(s0) | (~node215(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 12.76/9.07 tff(17310,plain,
% 12.76/9.07 (~node215(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17309, 12604, 17306])).
% 12.76/9.07 tff(17311,plain,
% 12.76/9.07 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s0) | node215(s0) | (~until216(s0)))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17312,plain,
% 12.76/9.07 ((node215(s0) | (~until216(s0)) | xuntil217(s0)) <=> (xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17313,plain,
% 12.76/9.07 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (xuntil217(s0) | node215(s0) | (~until216(s0))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17312])).
% 12.76/9.07 tff(17314,plain,
% 12.76/9.07 (((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))) <=> ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17313, 17311])).
% 12.76/9.07 tff(17315,plain,
% 12.76/9.07 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | (node215(s0) | (~until216(s0)) | xuntil217(s0))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17316,plain,
% 12.76/9.07 ((~![X: $i] : (node215(X) | (~until216(X)) | xuntil217(X))) | xuntil217(s0) | node215(s0) | (~until216(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17315, 17314])).
% 12.76/9.07 tff(17317,plain,
% 12.76/9.07 (xuntil217(s0) | (~until216(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17316, 12637, 17310])).
% 12.76/9.07 tff(17318,plain,
% 12.76/9.07 (~until216(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17317, 17301])).
% 12.76/9.07 tff(17319,plain,
% 12.76/9.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s0, s1)) | always212(s1) | (~always212(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s0, s1)) | always212(s1) | (~always212(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17320,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | ((~trans(s0, s1)) | always212(s1) | (~always212(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17321,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always212(Y) | (~always212(X)))) | (~trans(s0, s1)) | always212(s1) | (~always212(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 12.76/9.07 tff(17322,plain,
% 12.76/9.07 (always212(s1) | (~always212(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17321, 12545, 49])).
% 12.76/9.07 tff(17323,plain,
% 12.76/9.07 (~always212(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17322, 14810])).
% 12.76/9.07 tff(17324,plain,
% 12.76/9.07 (((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s0) | (~node213(s0)))) <=> ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s0) | (~node213(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17325,plain,
% 12.76/9.07 ((~![X: $i] : (always212(X) | (~node213(X)))) | (always212(s0) | (~node213(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17326,plain,
% 12.76/9.07 ((~![X: $i] : (always212(X) | (~node213(X)))) | always212(s0) | (~node213(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 12.76/9.07 tff(17327,plain,
% 12.76/9.07 (~node213(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17326, 12560, 17323])).
% 12.76/9.07 tff(17328,plain,
% 12.76/9.07 (((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s0) | until216(s0) | (~node220(s0)))) <=> ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s0) | until216(s0) | (~node220(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17329,plain,
% 12.76/9.07 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | (node213(s0) | until216(s0) | (~node220(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17330,plain,
% 12.76/9.07 ((~![X: $i] : (node213(X) | until216(X) | (~node220(X)))) | node213(s0) | until216(s0) | (~node220(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17329, 17328])).
% 12.76/9.07 tff(17331,plain,
% 12.76/9.07 (until216(s0) | (~node220(s0))),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17330, 12677, 17327])).
% 12.76/9.07 tff(17332,plain,
% 12.76/9.07 (~node220(s0)),
% 12.76/9.07 inference(unit_resolution,[status(thm)],[17331, 17318])).
% 12.76/9.07 tff(17333,plain,
% 12.76/9.07 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s0) | node220(s0) | (~until221(s0)))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17334,plain,
% 12.76/9.07 ((node220(s0) | (~until221(s0)) | xuntil222(s0)) <=> (xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17335,plain,
% 12.76/9.07 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (xuntil222(s0) | node220(s0) | (~until221(s0))))),
% 12.76/9.07 inference(monotonicity,[status(thm)],[17334])).
% 12.76/9.07 tff(17336,plain,
% 12.76/9.07 (((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))) <=> ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0)))),
% 12.76/9.07 inference(transitivity,[status(thm)],[17335, 17333])).
% 12.76/9.07 tff(17337,plain,
% 12.76/9.07 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | (node220(s0) | (~until221(s0)) | xuntil222(s0))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17338,plain,
% 12.76/9.07 ((~![X: $i] : (node220(X) | (~until221(X)) | xuntil222(X))) | xuntil222(s0) | node220(s0) | (~until221(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17337, 17336])).
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17338, 12714, 17332])).
% 12.76/9.07 tff(17340,plain,
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17339, 17296])).
% 12.76/9.07 tff(17341,plain,
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% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17342,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | ((~trans(s0, s1)) | always210(s1) | (~always210(s0)))),
% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
% 12.76/9.07 tff(17343,plain,
% 12.76/9.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always210(Y) | (~always210(X)))) | (~trans(s0, s1)) | always210(s1) | (~always210(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 12.76/9.07 tff(17344,plain,
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17343, 12818, 49])).
% 12.76/9.07 tff(17345,plain,
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% 12.76/9.07 inference(unit_resolution,[status(thm)],[17344, 14832])).
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% 12.76/9.07 (((~![X: $i] : (always210(X) | (~node211(X)))) | (always210(s0) | (~node211(s0)))) <=> ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s0) | (~node211(s0)))),
% 12.76/9.07 inference(rewrite,[status(thm)],[])).
% 12.76/9.07 tff(17347,plain,
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% 12.76/9.07 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.07 ((~![X: $i] : (always210(X) | (~node211(X)))) | always210(s0) | (~node211(s0))),
% 12.76/9.07 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 12.76/9.07 tff(17349,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17348, 12838, 17345])).
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% 12.76/9.08 (((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | (node211(s0) | until221(s0) | (~node225(s0)))) <=> ((~![X: $i] : (node211(X) | until221(X) | (~node225(X)))) | node211(s0) | until221(s0) | (~node225(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17351,plain,
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17352,plain,
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% 12.76/9.08 inference(modus_ponens,[status(thm)],[17351, 17350])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17352, 12852, 17349])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17353, 17340])).
% 12.76/9.08 tff(17355,plain,
% 12.76/9.08 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s0) | node225(s0) | (~until226(s0)))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17356,plain,
% 12.76/9.08 ((node225(s0) | (~until226(s0)) | xuntil227(s0)) <=> (xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17357,plain,
% 12.76/9.08 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s0) | (~until226(s0)) | xuntil227(s0))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (xuntil227(s0) | node225(s0) | (~until226(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17356])).
% 12.76/9.08 tff(17358,plain,
% 12.76/9.08 (((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | (node225(s0) | (~until226(s0)) | xuntil227(s0))) <=> ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17357, 17355])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17360,plain,
% 12.76/9.08 ((~![X: $i] : (node225(X) | (~until226(X)) | xuntil227(X))) | xuntil227(s0) | node225(s0) | (~until226(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 12.76/9.08 tff(17361,plain,
% 12.76/9.08 (xuntil227(s0) | (~until226(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17360, 12900, 17354])).
% 12.76/9.08 tff(17362,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17361, 17291])).
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% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s0, s1)) | (~always208(s0)) | always208(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s0, s1)) | (~always208(s0)) | always208(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17364,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | ((~trans(s0, s1)) | (~always208(s0)) | always208(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17365,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always208(X)) | always208(Y))) | (~trans(s0, s1)) | (~always208(s0)) | always208(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17364, 17363])).
% 12.76/9.08 tff(17366,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17365, 13044, 49])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17366, 14854])).
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% 12.76/9.08 (((~![X: $i] : (always208(X) | (~node209(X)))) | (always208(s0) | (~node209(s0)))) <=> ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s0) | (~node209(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17369,plain,
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17370,plain,
% 12.76/9.08 ((~![X: $i] : (always208(X) | (~node209(X)))) | always208(s0) | (~node209(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 12.76/9.08 tff(17371,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17370, 13069, 17367])).
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% 12.76/9.08 (((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | (node209(s0) | until226(s0) | (~node230(s0)))) <=> ((~![X: $i] : (node209(X) | until226(X) | (~node230(X)))) | node209(s0) | until226(s0) | (~node230(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17373,plain,
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17374,plain,
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% 12.76/9.08 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 12.76/9.08 tff(17375,plain,
% 12.76/9.08 (until226(s0) | (~node230(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17374, 13083, 17371])).
% 12.76/9.08 tff(17376,plain,
% 12.76/9.08 (~node230(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17375, 17362])).
% 12.76/9.08 tff(17377,plain,
% 12.76/9.08 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s0) | node230(s0) | (~until231(s0)))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 ((node230(s0) | (~until231(s0)) | xuntil232(s0)) <=> (xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17379,plain,
% 12.76/9.08 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s0) | (~until231(s0)) | xuntil232(s0))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (xuntil232(s0) | node230(s0) | (~until231(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17378])).
% 12.76/9.08 tff(17380,plain,
% 12.76/9.08 (((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | (node230(s0) | (~until231(s0)) | xuntil232(s0))) <=> ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17379, 17377])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17382,plain,
% 12.76/9.08 ((~![X: $i] : (node230(X) | (~until231(X)) | xuntil232(X))) | xuntil232(s0) | node230(s0) | (~until231(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17381, 17380])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17382, 13140, 17376])).
% 12.76/9.08 tff(17384,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17383, 17286])).
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% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17387,plain,
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% 12.76/9.08 inference(modus_ponens,[status(thm)],[17386, 17385])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17387, 13324, 49])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17388, 14876])).
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% 12.76/9.08 (((~![X: $i] : (always206(X) | (~node207(X)))) | (always206(s0) | (~node207(s0)))) <=> ((~![X: $i] : (always206(X) | (~node207(X)))) | always206(s0) | (~node207(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.08 inference(modus_ponens,[status(thm)],[17391, 17390])).
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% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
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% 12.76/9.08 inference(modus_ponens,[status(thm)],[17395, 17394])).
% 12.76/9.08 tff(17397,plain,
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17396, 13368, 17393])).
% 12.76/9.08 tff(17398,plain,
% 12.76/9.08 (~node235(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17397, 17384])).
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% 12.76/9.08 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s0) | node235(s0) | (~until236(s0)))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 ((node235(s0) | (~until236(s0)) | xuntil237(s0)) <=> (xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s0) | (~until236(s0)) | xuntil237(s0))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (xuntil237(s0) | node235(s0) | (~until236(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17400])).
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% 12.76/9.08 (((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | (node235(s0) | (~until236(s0)) | xuntil237(s0))) <=> ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17401, 17399])).
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% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17404,plain,
% 12.76/9.08 ((~![X: $i] : (node235(X) | (~until236(X)) | xuntil237(X))) | xuntil237(s0) | node235(s0) | (~until236(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17403, 17402])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17404, 13434, 17398])).
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% 12.76/9.08 inference(unit_resolution,[status(thm)],[17405, 17281])).
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% 12.76/9.08 inference(rewrite,[status(thm)],[])).
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% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | ((~trans(s0, s1)) | always204(s1) | (~always204(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17409,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always204(Y) | (~always204(X)))) | (~trans(s0, s1)) | always204(s1) | (~always204(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17408, 17407])).
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% 12.76/9.08 (always204(s1) | (~always204(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17409, 13658, 49])).
% 12.76/9.08 tff(17411,plain,
% 12.76/9.08 (~always204(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17410, 14898])).
% 12.76/9.08 tff(17412,plain,
% 12.76/9.08 (((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s0) | (~node205(s0)))) <=> ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s0) | (~node205(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17413,plain,
% 12.76/9.08 ((~![X: $i] : (always204(X) | (~node205(X)))) | (always204(s0) | (~node205(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17414,plain,
% 12.76/9.08 ((~![X: $i] : (always204(X) | (~node205(X)))) | always204(s0) | (~node205(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 12.76/9.08 tff(17415,plain,
% 12.76/9.08 (~node205(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17414, 13693, 17411])).
% 12.76/9.08 tff(17416,plain,
% 12.76/9.08 (((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s0) | until236(s0) | (~node240(s0)))) <=> ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s0) | until236(s0) | (~node240(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17417,plain,
% 12.76/9.08 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | (node205(s0) | until236(s0) | (~node240(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17418,plain,
% 12.76/9.08 ((~![X: $i] : (node205(X) | until236(X) | (~node240(X)))) | node205(s0) | until236(s0) | (~node240(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 12.76/9.08 tff(17419,plain,
% 12.76/9.08 (until236(s0) | (~node240(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17418, 13707, 17415])).
% 12.76/9.08 tff(17420,plain,
% 12.76/9.08 (~node240(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17419, 17406])).
% 12.76/9.08 tff(17421,plain,
% 12.76/9.08 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s0) | node240(s0) | (~until241(s0)))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17422,plain,
% 12.76/9.08 ((node240(s0) | (~until241(s0)) | xuntil242(s0)) <=> (xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17423,plain,
% 12.76/9.08 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (xuntil242(s0) | node240(s0) | (~until241(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17422])).
% 12.76/9.08 tff(17424,plain,
% 12.76/9.08 (((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))) <=> ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17423, 17421])).
% 12.76/9.08 tff(17425,plain,
% 12.76/9.08 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | (node240(s0) | (~until241(s0)) | xuntil242(s0))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17426,plain,
% 12.76/9.08 ((~![X: $i] : (node240(X) | (~until241(X)) | xuntil242(X))) | xuntil242(s0) | node240(s0) | (~until241(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 12.76/9.08 tff(17427,plain,
% 12.76/9.08 (xuntil242(s0) | (~until241(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17426, 13782, 17420])).
% 12.76/9.08 tff(17428,plain,
% 12.76/9.08 (~until241(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17427, 17276])).
% 12.76/9.08 tff(17429,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s0, s1)) | always202(s1) | (~always202(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s0, s1)) | always202(s1) | (~always202(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17430,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | ((~trans(s0, s1)) | always202(s1) | (~always202(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17431,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always202(Y) | (~always202(X)))) | (~trans(s0, s1)) | always202(s1) | (~always202(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 12.76/9.08 tff(17432,plain,
% 12.76/9.08 (always202(s1) | (~always202(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17431, 14046, 49])).
% 12.76/9.08 tff(17433,plain,
% 12.76/9.08 (~always202(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17432, 14920])).
% 12.76/9.08 tff(17434,plain,
% 12.76/9.08 (((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s0) | (~node203(s0)))) <=> ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s0) | (~node203(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17435,plain,
% 12.76/9.08 ((~![X: $i] : (always202(X) | (~node203(X)))) | (always202(s0) | (~node203(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17436,plain,
% 12.76/9.08 ((~![X: $i] : (always202(X) | (~node203(X)))) | always202(s0) | (~node203(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 12.76/9.08 tff(17437,plain,
% 12.76/9.08 (~node203(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17436, 14086, 17433])).
% 12.76/9.08 tff(17438,plain,
% 12.76/9.08 (((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s0) | until241(s0) | (~node245(s0)))) <=> ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s0) | until241(s0) | (~node245(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17439,plain,
% 12.76/9.08 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | (node203(s0) | until241(s0) | (~node245(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17440,plain,
% 12.76/9.08 ((~![X: $i] : (node203(X) | until241(X) | (~node245(X)))) | node203(s0) | until241(s0) | (~node245(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 12.76/9.08 tff(17441,plain,
% 12.76/9.08 (until241(s0) | (~node245(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17440, 14100, 17437])).
% 12.76/9.08 tff(17442,plain,
% 12.76/9.08 (~node245(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17441, 17428])).
% 12.76/9.08 tff(17443,plain,
% 12.76/9.08 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s0) | node245(s0) | (~until246(s0)))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17444,plain,
% 12.76/9.08 ((node245(s0) | (~until246(s0)) | xuntil247(s0)) <=> (xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17445,plain,
% 12.76/9.08 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (xuntil247(s0) | node245(s0) | (~until246(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17444])).
% 12.76/9.08 tff(17446,plain,
% 12.76/9.08 (((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))) <=> ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17445, 17443])).
% 12.76/9.08 tff(17447,plain,
% 12.76/9.08 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | (node245(s0) | (~until246(s0)) | xuntil247(s0))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17448,plain,
% 12.76/9.08 ((~![X: $i] : (node245(X) | (~until246(X)) | xuntil247(X))) | xuntil247(s0) | node245(s0) | (~until246(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 12.76/9.08 tff(17449,plain,
% 12.76/9.08 (xuntil247(s0) | (~until246(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17448, 14184, 17442])).
% 12.76/9.08 tff(17450,plain,
% 12.76/9.08 (~until246(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17449, 17271])).
% 12.76/9.08 tff(17451,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s0, s1)) | (~always200(s0)) | always200(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s0, s1)) | (~always200(s0)) | always200(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17452,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | ((~trans(s0, s1)) | (~always200(s0)) | always200(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17453,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always200(X)) | always200(Y))) | (~trans(s0, s1)) | (~always200(s0)) | always200(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17452, 17451])).
% 12.76/9.08 tff(17454,plain,
% 12.76/9.08 ((~always200(s0)) | always200(s1)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17453, 14488, 49])).
% 12.76/9.08 tff(17455,plain,
% 12.76/9.08 (~always200(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17454, 14942])).
% 12.76/9.08 tff(17456,plain,
% 12.76/9.08 (((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s0) | (~node201(s0)))) <=> ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s0) | (~node201(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17457,plain,
% 12.76/9.08 ((~![X: $i] : (always200(X) | (~node201(X)))) | (always200(s0) | (~node201(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17458,plain,
% 12.76/9.08 ((~![X: $i] : (always200(X) | (~node201(X)))) | always200(s0) | (~node201(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 12.76/9.08 tff(17459,plain,
% 12.76/9.08 (~node201(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17458, 14533, 17455])).
% 12.76/9.08 tff(17460,plain,
% 12.76/9.08 (((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s0) | until246(s0) | (~node250(s0)))) <=> ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s0) | until246(s0) | (~node250(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17461,plain,
% 12.76/9.08 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | (node201(s0) | until246(s0) | (~node250(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17462,plain,
% 12.76/9.08 ((~![X: $i] : (node201(X) | until246(X) | (~node250(X)))) | node201(s0) | until246(s0) | (~node250(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17461, 17460])).
% 12.76/9.08 tff(17463,plain,
% 12.76/9.08 (until246(s0) | (~node250(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17462, 14547, 17459])).
% 12.76/9.08 tff(17464,plain,
% 12.76/9.08 (~node250(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17463, 17450])).
% 12.76/9.08 tff(17465,plain,
% 12.76/9.08 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s0) | node250(s0) | (~until251(s0)))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17466,plain,
% 12.76/9.08 ((node250(s0) | (~until251(s0)) | xuntil252(s0)) <=> (xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17467,plain,
% 12.76/9.08 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (xuntil252(s0) | node250(s0) | (~until251(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17466])).
% 12.76/9.08 tff(17468,plain,
% 12.76/9.08 (((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))) <=> ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17467, 17465])).
% 12.76/9.08 tff(17469,plain,
% 12.76/9.08 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | (node250(s0) | (~until251(s0)) | xuntil252(s0))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17470,plain,
% 12.76/9.08 ((~![X: $i] : (node250(X) | (~until251(X)) | xuntil252(X))) | xuntil252(s0) | node250(s0) | (~until251(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 12.76/9.08 tff(17471,plain,
% 12.76/9.08 (xuntil252(s0) | (~until251(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17470, 14640, 17464])).
% 12.76/9.08 tff(17472,plain,
% 12.76/9.08 (~until251(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17471, 17266])).
% 12.76/9.08 tff(17473,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s0, s1)) | (~always198(s0)) | always198(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s0, s1)) | (~always198(s0)) | always198(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17474,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | ((~trans(s0, s1)) | (~always198(s0)) | always198(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17475,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always198(X)) | always198(Y))) | (~trans(s0, s1)) | (~always198(s0)) | always198(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 12.76/9.08 tff(17476,plain,
% 12.76/9.08 ((~always198(s0)) | always198(s1)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17475, 14984, 49])).
% 12.76/9.08 tff(17477,plain,
% 12.76/9.08 (~always198(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17476, 15027])).
% 12.76/9.08 tff(17478,plain,
% 12.76/9.08 (((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s0) | (~node199(s0)))) <=> ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s0) | (~node199(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17479,plain,
% 12.76/9.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | (always198(s0) | (~node199(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17480,plain,
% 12.76/9.08 ((~![X: $i] : (always198(X) | (~node199(X)))) | always198(s0) | (~node199(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 12.76/9.08 tff(17481,plain,
% 12.76/9.08 (~node199(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17480, 15034, 17477])).
% 12.76/9.08 tff(17482,plain,
% 12.76/9.08 (((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s0) | until251(s0) | (~node255(s0)))) <=> ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s0) | until251(s0) | (~node255(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17483,plain,
% 12.76/9.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | (node199(s0) | until251(s0) | (~node255(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17484,plain,
% 12.76/9.08 ((~![X: $i] : (node199(X) | until251(X) | (~node255(X)))) | node199(s0) | until251(s0) | (~node255(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17483, 17482])).
% 12.76/9.08 tff(17485,plain,
% 12.76/9.08 (until251(s0) | (~node255(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17484, 15048, 17481])).
% 12.76/9.08 tff(17486,plain,
% 12.76/9.08 (~node255(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17485, 17472])).
% 12.76/9.08 tff(17487,plain,
% 12.76/9.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s0) | node255(s0) | (~until256(s0)))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17488,plain,
% 12.76/9.08 ((node255(s0) | (~until256(s0)) | xuntil257(s0)) <=> (xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17489,plain,
% 12.76/9.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (xuntil257(s0) | node255(s0) | (~until256(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17488])).
% 12.76/9.08 tff(17490,plain,
% 12.76/9.08 (((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))) <=> ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17489, 17487])).
% 12.76/9.08 tff(17491,plain,
% 12.76/9.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | (node255(s0) | (~until256(s0)) | xuntil257(s0))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17492,plain,
% 12.76/9.08 ((~![X: $i] : (node255(X) | (~until256(X)) | xuntil257(X))) | xuntil257(s0) | node255(s0) | (~until256(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 12.76/9.08 tff(17493,plain,
% 12.76/9.08 (xuntil257(s0) | (~until256(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17492, 15150, 17486])).
% 12.76/9.08 tff(17494,plain,
% 12.76/9.08 (~until256(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17493, 17261])).
% 12.76/9.08 tff(17495,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s0, s1)) | (~always196(s0)) | always196(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s0, s1)) | (~always196(s0)) | always196(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17496,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | ((~trans(s0, s1)) | (~always196(s0)) | always196(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17497,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always196(X)) | always196(Y))) | (~trans(s0, s1)) | (~always196(s0)) | always196(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 12.76/9.08 tff(17498,plain,
% 12.76/9.08 ((~always196(s0)) | always196(s1)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17497, 15296, 49])).
% 12.76/9.08 tff(17499,plain,
% 12.76/9.08 (~always196(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17498, 15339])).
% 12.76/9.08 tff(17500,plain,
% 12.76/9.08 (((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s0) | (~node197(s0)))) <=> ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s0) | (~node197(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17501,plain,
% 12.76/9.08 ((~![X: $i] : (always196(X) | (~node197(X)))) | (always196(s0) | (~node197(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17502,plain,
% 12.76/9.08 ((~![X: $i] : (always196(X) | (~node197(X)))) | always196(s0) | (~node197(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17501, 17500])).
% 12.76/9.08 tff(17503,plain,
% 12.76/9.08 (~node197(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17502, 15346, 17499])).
% 12.76/9.08 tff(17504,plain,
% 12.76/9.08 (((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s0) | until256(s0) | (~node260(s0)))) <=> ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s0) | until256(s0) | (~node260(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17505,plain,
% 12.76/9.08 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | (node197(s0) | until256(s0) | (~node260(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17506,plain,
% 12.76/9.08 ((~![X: $i] : (node197(X) | until256(X) | (~node260(X)))) | node197(s0) | until256(s0) | (~node260(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 12.76/9.08 tff(17507,plain,
% 12.76/9.08 (until256(s0) | (~node260(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17506, 15360, 17503])).
% 12.76/9.08 tff(17508,plain,
% 12.76/9.08 (~node260(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17507, 17494])).
% 12.76/9.08 tff(17509,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17510,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | ((~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17511,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil262(X)) | until261(Y))) | (~succ(s0, s1)) | (~xuntil262(s0)) | until261(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 12.76/9.08 tff(17512,plain,
% 12.76/9.08 ((~xuntil262(s0)) | until261(s1)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17511, 45, 15480])).
% 12.76/9.08 tff(17513,plain,
% 12.76/9.08 (~xuntil262(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17512, 15584])).
% 12.76/9.08 tff(17514,plain,
% 12.76/9.08 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s0) | node260(s0) | (~until261(s0)))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17515,plain,
% 12.76/9.08 ((node260(s0) | (~until261(s0)) | xuntil262(s0)) <=> (xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17516,plain,
% 12.76/9.08 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (xuntil262(s0) | node260(s0) | (~until261(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17515])).
% 12.76/9.08 tff(17517,plain,
% 12.76/9.08 (((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))) <=> ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17516, 17514])).
% 12.76/9.08 tff(17518,plain,
% 12.76/9.08 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | (node260(s0) | (~until261(s0)) | xuntil262(s0))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17519,plain,
% 12.76/9.08 ((~![X: $i] : (node260(X) | (~until261(X)) | xuntil262(X))) | xuntil262(s0) | node260(s0) | (~until261(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 12.76/9.08 tff(17520,plain,
% 12.76/9.08 (~until261(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17519, 15462, 17513, 17508])).
% 12.76/9.08 tff(17521,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s0, s1)) | always194(s1) | (~always194(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s0, s1)) | always194(s1) | (~always194(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17522,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | ((~trans(s0, s1)) | always194(s1) | (~always194(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17523,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always194(Y) | (~always194(X)))) | (~trans(s0, s1)) | always194(s1) | (~always194(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 12.76/9.08 tff(17524,plain,
% 12.76/9.08 (always194(s1) | (~always194(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17523, 15609, 49])).
% 12.76/9.08 tff(17525,plain,
% 12.76/9.08 (~always194(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17524, 15652])).
% 12.76/9.08 tff(17526,plain,
% 12.76/9.08 (((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s0) | (~node195(s0)))) <=> ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s0) | (~node195(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17527,plain,
% 12.76/9.08 ((~![X: $i] : (always194(X) | (~node195(X)))) | (always194(s0) | (~node195(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17528,plain,
% 12.76/9.08 ((~![X: $i] : (always194(X) | (~node195(X)))) | always194(s0) | (~node195(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 12.76/9.08 tff(17529,plain,
% 12.76/9.08 (~node195(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17528, 15659, 17525])).
% 12.76/9.08 tff(17530,plain,
% 12.76/9.08 (((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s0) | until261(s0) | (~node265(s0)))) <=> ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s0) | until261(s0) | (~node265(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17531,plain,
% 12.76/9.08 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | (node195(s0) | until261(s0) | (~node265(s0)))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17532,plain,
% 12.76/9.08 ((~![X: $i] : (node195(X) | until261(X) | (~node265(X)))) | node195(s0) | until261(s0) | (~node265(s0))),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 12.76/9.08 tff(17533,plain,
% 12.76/9.08 (until261(s0) | (~node265(s0))),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17532, 15673, 17529])).
% 12.76/9.08 tff(17534,plain,
% 12.76/9.08 (~node265(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17533, 17520])).
% 12.76/9.08 tff(17535,plain,
% 12.76/9.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17536,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | ((~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1))),
% 12.76/9.08 inference(quant_inst,[status(thm)],[])).
% 12.76/9.08 tff(17537,plain,
% 12.76/9.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil267(X)) | until266(Y))) | (~succ(s0, s1)) | (~xuntil267(s0)) | until266(s1)),
% 12.76/9.08 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 12.76/9.08 tff(17538,plain,
% 12.76/9.08 ((~xuntil267(s0)) | until266(s1)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17537, 45, 15793])).
% 12.76/9.08 tff(17539,plain,
% 12.76/9.08 (~xuntil267(s0)),
% 12.76/9.08 inference(unit_resolution,[status(thm)],[17538, 15897])).
% 12.76/9.08 tff(17540,plain,
% 12.76/9.08 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s0) | node265(s0) | (~until266(s0)))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17541,plain,
% 12.76/9.08 ((node265(s0) | (~until266(s0)) | xuntil267(s0)) <=> (xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.76/9.08 inference(rewrite,[status(thm)],[])).
% 12.76/9.08 tff(17542,plain,
% 12.76/9.08 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (xuntil267(s0) | node265(s0) | (~until266(s0))))),
% 12.76/9.08 inference(monotonicity,[status(thm)],[17541])).
% 12.76/9.08 tff(17543,plain,
% 12.76/9.08 (((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))) <=> ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0)))),
% 12.76/9.08 inference(transitivity,[status(thm)],[17542, 17540])).
% 12.76/9.08 tff(17544,plain,
% 12.76/9.08 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | (node265(s0) | (~until266(s0)) | xuntil267(s0))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17545,plain,
% 12.76/9.09 ((~![X: $i] : (node265(X) | (~until266(X)) | xuntil267(X))) | xuntil267(s0) | node265(s0) | (~until266(s0))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 12.76/9.09 tff(17546,plain,
% 12.76/9.09 (node265(s0) | (~until266(s0))),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17545, 15775, 17539])).
% 12.76/9.09 tff(17547,plain,
% 12.76/9.09 (~until266(s0)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17546, 17534])).
% 12.76/9.09 tff(17548,plain,
% 12.76/9.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s0, s1)) | always192(s1) | (~always192(s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s0, s1)) | always192(s1) | (~always192(s0)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17549,plain,
% 12.76/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | ((~trans(s0, s1)) | always192(s1) | (~always192(s0)))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17550,plain,
% 12.76/9.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | always192(Y) | (~always192(X)))) | (~trans(s0, s1)) | always192(s1) | (~always192(s0))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 12.76/9.09 tff(17551,plain,
% 12.76/9.09 (always192(s1) | (~always192(s0))),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17550, 15922, 49])).
% 12.76/9.09 tff(17552,plain,
% 12.76/9.09 (~always192(s0)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17551, 15965])).
% 12.76/9.09 tff(17553,plain,
% 12.76/9.09 (((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s0) | (~node193(s0)))) <=> ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s0) | (~node193(s0)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17554,plain,
% 12.76/9.09 ((~![X: $i] : (always192(X) | (~node193(X)))) | (always192(s0) | (~node193(s0)))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17555,plain,
% 12.76/9.09 ((~![X: $i] : (always192(X) | (~node193(X)))) | always192(s0) | (~node193(s0))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 12.76/9.09 tff(17556,plain,
% 12.76/9.09 (~node193(s0)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17555, 15972, 17552])).
% 12.76/9.09 tff(17557,plain,
% 12.76/9.09 (((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s0) | until266(s0) | (~node270(s0)))) <=> ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s0) | until266(s0) | (~node270(s0)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17558,plain,
% 12.76/9.09 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | (node193(s0) | until266(s0) | (~node270(s0)))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17559,plain,
% 12.76/9.09 ((~![X: $i] : (node193(X) | until266(X) | (~node270(X)))) | node193(s0) | until266(s0) | (~node270(s0))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 12.76/9.09 tff(17560,plain,
% 12.76/9.09 (until266(s0) | (~node270(s0))),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17559, 15986, 17556])).
% 12.76/9.09 tff(17561,plain,
% 12.76/9.09 (~node270(s0)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17560, 17547])).
% 12.76/9.09 tff(17562,plain,
% 12.76/9.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17563,plain,
% 12.76/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | ((~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17564,plain,
% 12.76/9.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil272(X)) | until271(Y))) | (~succ(s0, s1)) | (~xuntil272(s0)) | until271(s1)),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 12.76/9.09 tff(17565,plain,
% 12.76/9.09 ((~xuntil272(s0)) | until271(s1)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17564, 45, 16106])).
% 12.76/9.09 tff(17566,plain,
% 12.76/9.09 (~xuntil272(s0)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17565, 16210])).
% 12.76/9.09 tff(17567,plain,
% 12.76/9.09 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s0) | node270(s0) | (~until271(s0)))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17568,plain,
% 12.76/9.09 ((node270(s0) | (~until271(s0)) | xuntil272(s0)) <=> (xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17569,plain,
% 12.76/9.09 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (xuntil272(s0) | node270(s0) | (~until271(s0))))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17568])).
% 12.76/9.09 tff(17570,plain,
% 12.76/9.09 (((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))) <=> ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0)))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17569, 17567])).
% 12.76/9.09 tff(17571,plain,
% 12.76/9.09 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | (node270(s0) | (~until271(s0)) | xuntil272(s0))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17572,plain,
% 12.76/9.09 ((~![X: $i] : (node270(X) | (~until271(X)) | xuntil272(X))) | xuntil272(s0) | node270(s0) | (~until271(s0))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 12.76/9.09 tff(17573,plain,
% 12.76/9.09 (node270(s0) | (~until271(s0))),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17572, 16088, 17566])).
% 12.76/9.09 tff(17574,plain,
% 12.76/9.09 ($false),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17573, 17561, 17256])).
% 12.76/9.09 tff(17575,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 12.76/9.09 tff(17576,plain,
% 12.76/9.09 (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17577,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17578,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17579,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17580,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17581,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17582,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17583,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17584,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17585,plain,
% 12.76/9.09 ((((~loop) | trans(s9, s0)) | trans(s9, s1)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17586,plain,
% 12.76/9.09 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17585])).
% 12.76/9.09 tff(17587,plain,
% 12.76/9.09 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17586, 17584])).
% 12.76/9.09 tff(17588,plain,
% 12.76/9.09 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17587])).
% 12.76/9.09 tff(17589,plain,
% 12.76/9.09 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17588, 17583])).
% 12.76/9.09 tff(17590,plain,
% 12.76/9.09 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17589])).
% 12.76/9.09 tff(17591,plain,
% 12.76/9.09 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17590, 17582])).
% 12.76/9.09 tff(17592,plain,
% 12.76/9.09 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17591])).
% 12.76/9.09 tff(17593,plain,
% 12.76/9.09 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17592, 17581])).
% 12.76/9.09 tff(17594,plain,
% 12.76/9.09 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17593])).
% 12.76/9.09 tff(17595,plain,
% 12.76/9.09 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17594, 17580])).
% 12.76/9.09 tff(17596,plain,
% 12.76/9.09 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17595])).
% 12.76/9.09 tff(17597,plain,
% 12.76/9.09 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17596, 17579])).
% 12.76/9.09 tff(17598,plain,
% 12.76/9.09 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17597])).
% 12.76/9.09 tff(17599,plain,
% 12.76/9.09 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17598, 17578])).
% 12.76/9.09 tff(17600,plain,
% 12.76/9.09 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17599])).
% 12.76/9.09 tff(17601,plain,
% 12.76/9.09 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17600, 17577])).
% 12.76/9.09 tff(17602,axiom,(((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 12.76/9.09 tff(17603,plain,
% 12.76/9.09 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 12.76/9.09 tff(17604,plain,
% 12.76/9.09 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17603, 17576])).
% 12.76/9.09 tff(17605,plain,
% 12.76/9.09 (trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17604, 17575])).
% 12.76/9.09 tff(17606,plain,
% 12.76/9.09 (trans(s9, s0) | trans(s9, s1) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17605, 12516])).
% 12.76/9.09 tff(17607,plain,
% 12.76/9.09 (trans(s9, s0) | trans(s9, s1) | trans(s9, s3) | trans(s9, s4) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17606, 12499, 12482])).
% 12.76/9.09 tff(17608,plain,
% 12.76/9.09 (trans(s9, s1) | trans(s9, s3) | trans(s9, s4) | trans(s9, s7) | trans(s9, s9)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17607, 12465, 12409])).
% 12.76/9.09 tff(17609,plain,
% 12.76/9.09 (trans(s9, s1) | trans(s9, s3) | trans(s9, s9)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17608, 12392, 12375])).
% 12.76/9.09 tff(17610,plain,
% 12.76/9.09 (trans(s9, s1)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17609, 12358, 10463])).
% 12.76/9.09 tff(17611,plain,
% 12.76/9.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17612,plain,
% 12.76/9.09 (((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s1)) <=> ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17613,plain,
% 12.76/9.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1)))),
% 12.76/9.09 inference(monotonicity,[status(thm)],[17612])).
% 12.76/9.09 tff(17614,plain,
% 12.76/9.09 (((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s1))) <=> ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1))),
% 12.76/9.09 inference(transitivity,[status(thm)],[17613, 17611])).
% 12.76/9.09 tff(17615,plain,
% 12.76/9.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | ((~trans(s9, s1)) | (~m_Sensor_v_s(c_SEN, c_s)) | node87(c_s, s9, s1))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17616,plain,
% 12.76/9.09 ((~![Y: $i, I0: $i, X: $i, J0: $i] : ((~trans(X, Y)) | (~m_Sensor_v_s(I0, J0)) | node87(J0, X, Y))) | (~m_Sensor_v_s(c_SEN, c_s)) | (~trans(s9, s1)) | node87(c_s, s9, s1)),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17615, 17614])).
% 12.76/9.09 tff(17617,plain,
% 12.76/9.09 ((~trans(s9, s1)) | node87(c_s, s9, s1)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17616, 62, 714])).
% 12.76/9.09 tff(17618,plain,
% 12.76/9.09 (node87(c_s, s9, s1)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17617, 17610])).
% 12.76/9.09 tff(17619,plain,
% 12.76/9.09 (((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))) <=> ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17620,plain,
% 12.76/9.09 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | ((~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)))),
% 12.76/9.09 inference(quant_inst,[status(thm)],[])).
% 12.76/9.09 tff(17621,plain,
% 12.76/9.09 ((~![I0: $i, X: $i] : ((~m_state_v_gripper_status(I0, X, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(I0, X, c_gripperstoppedat_sd)))) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_ovb)) | (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd))),
% 12.76/9.09 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 12.76/9.09 tff(17622,plain,
% 12.76/9.09 (~m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)),
% 12.76/9.09 inference(unit_resolution,[status(thm)],[17621, 3834, 732])).
% 12.76/9.09 tff(17623,plain,
% 12.76/9.09 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1)))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1)))),
% 12.76/9.09 inference(rewrite,[status(thm)],[])).
% 12.76/9.09 tff(17624,plain,
% 12.76/9.09 (((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd)) <=> (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1)))),
% 12.86/9.14 inference(rewrite,[status(thm)],[])).
% 12.86/9.14 tff(17625,plain,
% 12.86/9.14 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | (m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1))))),
% 12.86/9.14 inference(monotonicity,[status(thm)],[17624])).
% 12.86/9.14 tff(17626,plain,
% 12.86/9.14 (((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd))) <=> ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1)))),
% 12.86/9.14 inference(transitivity,[status(thm)],[17625, 17623])).
% 12.86/9.14 tff(17627,plain,
% 12.86/9.14 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | ((~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node83(c_s, s9) | node84(c_s, s9) | (~node87(c_s, s9, s1)) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd))),
% 12.86/9.14 inference(quant_inst,[status(thm)],[])).
% 12.86/9.14 tff(17628,plain,
% 12.86/9.14 ((~![Y: $i, X: $i, J0: $i] : ((~m_state_v_gvp(J0, X, c_sd)) | (~m_state_v_CVM(J0, X, c_idle)) | node83(J0, X) | node84(J0, X) | (~node87(J0, X, Y)) | m_state_v_gripper_status(J0, Y, c_gripperstoppedat_sd))) | m_state_v_gripper_status(c_s, s1, c_gripperstoppedat_sd) | (~m_state_v_gvp(c_s, s9, c_sd)) | (~m_state_v_CVM(c_s, s9, c_idle)) | node84(c_s, s9) | node83(c_s, s9) | (~node87(c_s, s9, s1))),
% 12.86/9.14 inference(modus_ponens,[status(thm)],[17627, 17626])).
% 12.86/9.14 tff(17629,plain,
% 12.86/9.14 ($false),
% 12.86/9.14 inference(unit_resolution,[status(thm)],[17628, 3783, 17622, 12436, 17618, 5881, 4997, 4986])).
% 12.86/9.14 % SZS output end Proof
%------------------------------------------------------------------------------