TSTP Solution File: KRS102+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 17:44:45 EDT 2022
% Result : Unsatisfiable 0.22s 0.47s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 08:57:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.22/0.47 % SZS status Unsatisfiable
% 0.22/0.47 % SZS output start Proof
% 0.22/0.47 tff(iminus9_type, type, (
% 0.22/0.47 iminus9: $i)).
% 0.22/0.47 tff(iT_type, type, (
% 0.22/0.47 iT: $i)).
% 0.22/0.47 tff(iplus2_type, type, (
% 0.22/0.47 iplus2: $i)).
% 0.22/0.47 tff(iminus2_type, type, (
% 0.22/0.47 iminus2: $i)).
% 0.22/0.47 tff(iminus3_type, type, (
% 0.22/0.47 iminus3: $i)).
% 0.22/0.47 tff(iplus5_type, type, (
% 0.22/0.47 iplus5: $i)).
% 0.22/0.47 tff(iF_type, type, (
% 0.22/0.47 iF: $i)).
% 0.22/0.47 tff(iplus7_type, type, (
% 0.22/0.47 iplus7: $i)).
% 0.22/0.47 tff(iminus6_type, type, (
% 0.22/0.47 iminus6: $i)).
% 0.22/0.47 tff(iplus6_type, type, (
% 0.22/0.47 iplus6: $i)).
% 0.22/0.47 tff(cTorF_type, type, (
% 0.22/0.47 cTorF: $i > $o)).
% 0.22/0.47 tff(iplus4_type, type, (
% 0.22/0.47 iplus4: $i)).
% 0.22/0.47 tff(iplus9_type, type, (
% 0.22/0.47 iplus9: $i)).
% 0.22/0.47 tff(iminus4_type, type, (
% 0.22/0.47 iminus4: $i)).
% 0.22/0.47 tff(iminus7_type, type, (
% 0.22/0.47 iminus7: $i)).
% 0.22/0.47 tff(iminus5_type, type, (
% 0.22/0.47 iminus5: $i)).
% 0.22/0.47 tff(iplus3_type, type, (
% 0.22/0.47 iplus3: $i)).
% 0.22/0.47 tff(iminus1_type, type, (
% 0.22/0.47 iminus1: $i)).
% 0.22/0.47 tff(iplus1_type, type, (
% 0.22/0.47 iplus1: $i)).
% 0.22/0.47 tff(iminus8_type, type, (
% 0.22/0.47 iminus8: $i)).
% 0.22/0.47 tff(iplus8_type, type, (
% 0.22/0.47 iplus8: $i)).
% 0.22/0.47 tff(1,plain,
% 0.22/0.47 ((iF = iminus3) <=> (iminus3 = iF)),
% 0.22/0.47 inference(commutativity,[status(thm)],[])).
% 0.22/0.47 tff(2,plain,
% 0.22/0.47 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus6) | (X = iplus6))) <=> (cTorF(X) <=> ((X = iminus6) | (X = iplus6))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(3,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[2])).
% 0.22/0.47 tff(4,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(5,axiom,(![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_10')).
% 0.22/0.47 tff(6,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.22/0.47 tff(7,plain,(
% 0.22/0.47 ![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))),
% 0.22/0.47 inference(skolemize,[status(sab)],[6])).
% 0.22/0.47 tff(8,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.22/0.47 tff(9,plain,
% 0.22/0.47 ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | (cTorF(iF) <=> ((iF = iminus6) | (iF = iplus6)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(10,plain,
% 0.22/0.47 (cTorF(iF) <=> ((iF = iminus6) | (iF = iplus6))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.22/0.47 tff(11,plain,
% 0.22/0.47 (^[X: $i] : refl((cTorF(X) <=> ((X = iF) | (X = iT))) <=> (cTorF(X) <=> ((X = iF) | (X = iT))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(12,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT))) <=> ![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[11])).
% 0.22/0.47 tff(13,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT))) <=> ![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(14,plain,
% 0.22/0.47 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iT) | (X = iF))) <=> (cTorF(X) <=> ((X = iF) | (X = iT))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(15,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iT) | (X = iF))) <=> ![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[14])).
% 0.22/0.47 tff(16,axiom,(![X: $i] : (cTorF(X) <=> ((X = iT) | (X = iF)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_8')).
% 0.22/0.47 tff(17,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.22/0.47 tff(18,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.22/0.47 tff(19,plain,(
% 0.22/0.47 ![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(skolemize,[status(sab)],[18])).
% 0.22/0.47 tff(20,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.22/0.47 tff(21,plain,
% 0.22/0.47 (((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | cTorF(iF)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | cTorF(iF))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(22,plain,
% 0.22/0.47 ((cTorF(iF) <=> $true) <=> cTorF(iF)),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(23,plain,
% 0.22/0.47 (($true | (iF = iT)) <=> $true),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(24,plain,
% 0.22/0.47 ((iF = iF) <=> $true),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(25,plain,
% 0.22/0.47 (((iF = iF) | (iF = iT)) <=> ($true | (iF = iT))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[24])).
% 0.22/0.47 tff(26,plain,
% 0.22/0.47 (((iF = iF) | (iF = iT)) <=> $true),
% 0.22/0.47 inference(transitivity,[status(thm)],[25, 23])).
% 0.22/0.47 tff(27,plain,
% 0.22/0.47 ((cTorF(iF) <=> ((iF = iF) | (iF = iT))) <=> (cTorF(iF) <=> $true)),
% 0.22/0.47 inference(monotonicity,[status(thm)],[26])).
% 0.22/0.47 tff(28,plain,
% 0.22/0.47 ((cTorF(iF) <=> ((iF = iF) | (iF = iT))) <=> cTorF(iF)),
% 0.22/0.47 inference(transitivity,[status(thm)],[27, 22])).
% 0.22/0.47 tff(29,plain,
% 0.22/0.47 (((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | (cTorF(iF) <=> ((iF = iF) | (iF = iT)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | cTorF(iF))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[28])).
% 0.22/0.47 tff(30,plain,
% 0.22/0.47 (((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | (cTorF(iF) <=> ((iF = iF) | (iF = iT)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | cTorF(iF))),
% 0.22/0.47 inference(transitivity,[status(thm)],[29, 21])).
% 0.22/0.47 tff(31,plain,
% 0.22/0.47 ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | (cTorF(iF) <=> ((iF = iF) | (iF = iT)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(32,plain,
% 0.22/0.47 ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | cTorF(iF)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.22/0.47 tff(33,plain,
% 0.22/0.47 (cTorF(iF)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[32, 20])).
% 0.22/0.47 tff(34,plain,
% 0.22/0.47 ((~(cTorF(iF) <=> ((iF = iminus6) | (iF = iplus6)))) | (~cTorF(iF)) | ((iF = iminus6) | (iF = iplus6))),
% 0.22/0.47 inference(tautology,[status(thm)],[])).
% 0.22/0.47 tff(35,plain,
% 0.22/0.47 ((~(cTorF(iF) <=> ((iF = iminus6) | (iF = iplus6)))) | ((iF = iminus6) | (iF = iplus6))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.22/0.47 tff(36,plain,
% 0.22/0.47 ((iF = iminus6) | (iF = iplus6)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[35, 10])).
% 0.22/0.47 tff(37,plain,
% 0.22/0.47 ((iF = iplus7) <=> (iplus7 = iF)),
% 0.22/0.47 inference(commutativity,[status(thm)],[])).
% 0.22/0.47 tff(38,assumption,(~(iT = iminus2)), introduced(assumption)).
% 0.22/0.47 tff(39,plain,
% 0.22/0.47 ((iminus9 = iplus4) <=> (iplus4 = iminus9)),
% 0.22/0.47 inference(commutativity,[status(thm)],[])).
% 0.22/0.47 tff(40,assumption,(~(iT = iplus7)), introduced(assumption)).
% 0.22/0.47 tff(41,plain,
% 0.22/0.47 (((iT = iplus7) | (iT = iminus9) | (iT = iminus2)) <=> ((iT = iplus7) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(42,plain,
% 0.22/0.47 ((((iT = iminus9) | (iT = iminus2)) | (iT = iplus7)) <=> ((iT = iplus7) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(43,plain,
% 0.22/0.47 (((iT = iminus9) | (iT = iminus2)) <=> ((iT = iminus9) | (iT = iminus2))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(44,plain,
% 0.22/0.47 ((((iT = iminus9) | (iT = iminus2)) | (iT = iplus7)) <=> (((iT = iminus9) | (iT = iminus2)) | (iT = iplus7))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[43])).
% 0.22/0.47 tff(45,plain,
% 0.22/0.47 ((((iT = iminus9) | (iT = iminus2)) | (iT = iplus7)) <=> ((iT = iplus7) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.47 inference(transitivity,[status(thm)],[44, 42])).
% 0.22/0.47 tff(46,axiom,(((iT = iminus9) | (iT = iminus2)) | (iT = iplus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_48')).
% 0.22/0.47 tff(47,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.22/0.47 tff(48,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[47, 41])).
% 0.22/0.47 tff(49,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.22/0.47 tff(50,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[49, 41])).
% 0.22/0.47 tff(51,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[50, 41])).
% 0.22/0.47 tff(52,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[51, 41])).
% 0.22/0.47 tff(53,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[52, 41])).
% 0.22/0.47 tff(54,plain,
% 0.22/0.47 ((iT = iplus7) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[53, 41])).
% 0.22/0.47 tff(55,plain,
% 0.22/0.47 (iT = iminus9),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[54, 40, 38])).
% 0.22/0.47 tff(56,plain,
% 0.22/0.47 ((iT = iplus4) <=> (iminus9 = iplus4)),
% 0.22/0.47 inference(monotonicity,[status(thm)],[55])).
% 0.22/0.47 tff(57,plain,
% 0.22/0.47 ((iT = iplus4) <=> (iplus4 = iminus9)),
% 0.22/0.47 inference(transitivity,[status(thm)],[56, 39])).
% 0.22/0.47 tff(58,plain,
% 0.22/0.47 ((iplus4 = iminus9) <=> (iT = iplus4)),
% 0.22/0.47 inference(symmetry,[status(thm)],[57])).
% 0.22/0.47 tff(59,plain,
% 0.22/0.47 ((iplus9 = iT) <=> (iT = iplus9)),
% 0.22/0.47 inference(commutativity,[status(thm)],[])).
% 0.22/0.47 tff(60,plain,
% 0.22/0.47 (iminus9 = iT),
% 0.22/0.47 inference(symmetry,[status(thm)],[55])).
% 0.22/0.47 tff(61,plain,
% 0.22/0.47 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus9) | (X = iplus9))) <=> (cTorF(X) <=> ((X = iminus9) | (X = iplus9))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(62,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[61])).
% 0.22/0.47 tff(63,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(64,axiom,(![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_11')).
% 0.22/0.47 tff(65,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.22/0.47 tff(66,plain,(
% 0.22/0.47 ![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))),
% 0.22/0.47 inference(skolemize,[status(sab)],[65])).
% 0.22/0.47 tff(67,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.22/0.47 tff(68,plain,
% 0.22/0.47 ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iF) <=> ((iF = iminus9) | (iF = iplus9)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(69,plain,
% 0.22/0.47 (cTorF(iF) <=> ((iF = iminus9) | (iF = iplus9))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.22/0.47 tff(70,plain,
% 0.22/0.47 ((~(cTorF(iF) <=> ((iF = iminus9) | (iF = iplus9)))) | (~cTorF(iF)) | ((iF = iminus9) | (iF = iplus9))),
% 0.22/0.47 inference(tautology,[status(thm)],[])).
% 0.22/0.47 tff(71,plain,
% 0.22/0.47 ((~(cTorF(iF) <=> ((iF = iminus9) | (iF = iplus9)))) | ((iF = iminus9) | (iF = iplus9))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[70, 33])).
% 0.22/0.47 tff(72,plain,
% 0.22/0.47 ((iF = iminus9) | (iF = iplus9)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[71, 69])).
% 0.22/0.47 tff(73,plain,
% 0.22/0.47 ((iminus9 = iF) <=> (iF = iminus9)),
% 0.22/0.47 inference(commutativity,[status(thm)],[])).
% 0.22/0.47 tff(74,plain,
% 0.22/0.47 ((iT = iF) <=> (iminus9 = iF)),
% 0.22/0.47 inference(monotonicity,[status(thm)],[55])).
% 0.22/0.47 tff(75,plain,
% 0.22/0.47 ((iT = iF) <=> (iF = iminus9)),
% 0.22/0.47 inference(transitivity,[status(thm)],[74, 73])).
% 0.22/0.47 tff(76,plain,
% 0.22/0.47 ((~(iT = iF)) <=> (~(iF = iminus9))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[75])).
% 0.22/0.47 tff(77,plain,
% 0.22/0.47 ((~(iT = iF)) <=> (~(iT = iF))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(78,axiom,(~(iT = iF)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_77')).
% 0.22/0.47 tff(79,plain,
% 0.22/0.47 (~(iT = iF)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.22/0.47 tff(80,plain,
% 0.22/0.47 (~(iF = iminus9)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[79, 76])).
% 0.22/0.47 tff(81,plain,
% 0.22/0.47 ((~((iF = iminus9) | (iF = iplus9))) | (iF = iminus9) | (iF = iplus9)),
% 0.22/0.47 inference(tautology,[status(thm)],[])).
% 0.22/0.47 tff(82,plain,
% 0.22/0.47 (iF = iplus9),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[81, 80, 72])).
% 0.22/0.47 tff(83,plain,
% 0.22/0.47 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus4) | (X = iplus4))) <=> (cTorF(X) <=> ((X = iminus4) | (X = iplus4))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(84,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[83])).
% 0.22/0.47 tff(85,plain,
% 0.22/0.47 (![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(86,axiom,(![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.22/0.48 tff(87,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.22/0.48 tff(88,plain,(
% 0.22/0.48 ![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[87])).
% 0.22/0.48 tff(89,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.22/0.48 tff(90,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))) | (cTorF(iF) <=> ((iF = iminus4) | (iF = iplus4)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(91,plain,
% 0.22/0.48 (cTorF(iF) <=> ((iF = iminus4) | (iF = iplus4))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.22/0.48 tff(92,plain,
% 0.22/0.48 ((~(cTorF(iF) <=> ((iF = iminus4) | (iF = iplus4)))) | (~cTorF(iF)) | ((iF = iminus4) | (iF = iplus4))),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(93,plain,
% 0.22/0.48 ((~(cTorF(iF) <=> ((iF = iminus4) | (iF = iplus4)))) | ((iF = iminus4) | (iF = iplus4))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[92, 33])).
% 0.22/0.48 tff(94,plain,
% 0.22/0.48 ((iF = iminus4) | (iF = iplus4)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[93, 91])).
% 0.22/0.48 tff(95,plain,
% 0.22/0.48 ((iF = iminus4) <=> (iminus4 = iF)),
% 0.22/0.48 inference(commutativity,[status(thm)],[])).
% 0.22/0.48 tff(96,plain,
% 0.22/0.48 ((iminus4 = iF) <=> (iF = iminus4)),
% 0.22/0.48 inference(symmetry,[status(thm)],[95])).
% 0.22/0.48 tff(97,plain,
% 0.22/0.48 ((iminus4 = iF) <=> (iminus4 = iplus9)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[82])).
% 0.22/0.48 tff(98,plain,
% 0.22/0.48 ((iminus4 = iplus9) <=> (iminus4 = iF)),
% 0.22/0.48 inference(symmetry,[status(thm)],[97])).
% 0.22/0.48 tff(99,plain,
% 0.22/0.48 ((iminus9 = iplus7) <=> (iplus7 = iminus9)),
% 0.22/0.48 inference(commutativity,[status(thm)],[])).
% 0.22/0.48 tff(100,plain,
% 0.22/0.48 ((iplus7 = iT) <=> (iT = iplus7)),
% 0.22/0.48 inference(commutativity,[status(thm)],[])).
% 0.22/0.48 tff(101,plain,
% 0.22/0.48 ((iplus7 = iminus9) <=> (iplus7 = iT)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[60])).
% 0.22/0.48 tff(102,plain,
% 0.22/0.48 ((iplus7 = iminus9) <=> (iT = iplus7)),
% 0.22/0.48 inference(transitivity,[status(thm)],[101, 100])).
% 0.22/0.48 tff(103,plain,
% 0.22/0.48 ((iT = iplus7) <=> (iplus7 = iminus9)),
% 0.22/0.48 inference(symmetry,[status(thm)],[102])).
% 0.22/0.48 tff(104,plain,
% 0.22/0.48 ((~(iT = iplus7)) <=> (~(iplus7 = iminus9))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[103])).
% 0.22/0.48 tff(105,plain,
% 0.22/0.48 (~(iplus7 = iminus9)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[40, 104])).
% 0.22/0.48 tff(106,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iplus7) <=> ((iplus7 = iminus9) | (iplus7 = iplus9)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(107,plain,
% 0.22/0.48 (cTorF(iplus7) <=> ((iplus7 = iminus9) | (iplus7 = iplus9))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[106, 67])).
% 0.22/0.48 tff(108,plain,
% 0.22/0.48 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus7) | (X = iplus7))) <=> (cTorF(X) <=> ((X = iminus7) | (X = iplus7))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(109,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[108])).
% 0.22/0.48 tff(110,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(111,plain,
% 0.22/0.48 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus7) | (X = iminus7))) <=> (cTorF(X) <=> ((X = iminus7) | (X = iplus7))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(112,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iplus7) | (X = iminus7))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[111])).
% 0.22/0.48 tff(113,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus7) | (X = iminus7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.22/0.48 tff(114,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.22/0.48 tff(115,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.22/0.48 tff(116,plain,(
% 0.22/0.48 ![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[115])).
% 0.22/0.48 tff(117,plain,
% 0.22/0.48 (![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.22/0.48 tff(118,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | cTorF(iplus7)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | cTorF(iplus7))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(119,plain,
% 0.22/0.48 ((cTorF(iplus7) <=> $true) <=> cTorF(iplus7)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(120,plain,
% 0.22/0.48 (((iplus7 = iminus7) | $true) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(121,plain,
% 0.22/0.48 ((iplus7 = iplus7) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(122,plain,
% 0.22/0.48 (((iplus7 = iminus7) | (iplus7 = iplus7)) <=> ((iplus7 = iminus7) | $true)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[121])).
% 0.22/0.48 tff(123,plain,
% 0.22/0.48 (((iplus7 = iminus7) | (iplus7 = iplus7)) <=> $true),
% 0.22/0.48 inference(transitivity,[status(thm)],[122, 120])).
% 0.22/0.48 tff(124,plain,
% 0.22/0.48 ((cTorF(iplus7) <=> ((iplus7 = iminus7) | (iplus7 = iplus7))) <=> (cTorF(iplus7) <=> $true)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[123])).
% 0.22/0.48 tff(125,plain,
% 0.22/0.48 ((cTorF(iplus7) <=> ((iplus7 = iminus7) | (iplus7 = iplus7))) <=> cTorF(iplus7)),
% 0.22/0.48 inference(transitivity,[status(thm)],[124, 119])).
% 0.22/0.48 tff(126,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | (cTorF(iplus7) <=> ((iplus7 = iminus7) | (iplus7 = iplus7)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | cTorF(iplus7))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[125])).
% 0.22/0.48 tff(127,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | (cTorF(iplus7) <=> ((iplus7 = iminus7) | (iplus7 = iplus7)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | cTorF(iplus7))),
% 0.22/0.48 inference(transitivity,[status(thm)],[126, 118])).
% 0.22/0.48 tff(128,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | (cTorF(iplus7) <=> ((iplus7 = iminus7) | (iplus7 = iplus7)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(129,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | cTorF(iplus7)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.22/0.48 tff(130,plain,
% 0.22/0.48 (cTorF(iplus7)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[129, 117])).
% 0.22/0.48 tff(131,plain,
% 0.22/0.48 ((~(cTorF(iplus7) <=> ((iplus7 = iminus9) | (iplus7 = iplus9)))) | (~cTorF(iplus7)) | ((iplus7 = iminus9) | (iplus7 = iplus9))),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(132,plain,
% 0.22/0.48 ((~(cTorF(iplus7) <=> ((iplus7 = iminus9) | (iplus7 = iplus9)))) | ((iplus7 = iminus9) | (iplus7 = iplus9))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.22/0.48 tff(133,plain,
% 0.22/0.48 ((iplus7 = iminus9) | (iplus7 = iplus9)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[132, 107])).
% 0.22/0.48 tff(134,plain,
% 0.22/0.48 ((~((iplus7 = iminus9) | (iplus7 = iplus9))) | (iplus7 = iminus9) | (iplus7 = iplus9)),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(135,plain,
% 0.22/0.48 ((iplus7 = iminus9) | (iplus7 = iplus9)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[134, 133])).
% 0.22/0.48 tff(136,plain,
% 0.22/0.48 (iplus7 = iplus9),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[135, 105])).
% 0.22/0.48 tff(137,plain,
% 0.22/0.48 (iplus9 = iplus7),
% 0.22/0.48 inference(symmetry,[status(thm)],[136])).
% 0.22/0.48 tff(138,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iminus9 = iplus7)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[55, 137])).
% 0.22/0.48 tff(139,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iplus7 = iminus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[138, 99])).
% 0.22/0.48 tff(140,plain,
% 0.22/0.48 ((iplus7 = iminus9) <=> (iT = iplus9)),
% 0.22/0.48 inference(symmetry,[status(thm)],[139])).
% 0.22/0.48 tff(141,plain,
% 0.22/0.48 ((~(iplus7 = iminus9)) <=> (~(iT = iplus9))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[140])).
% 0.22/0.48 tff(142,plain,
% 0.22/0.48 (~(iT = iplus9)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[105, 141])).
% 0.22/0.48 tff(143,plain,
% 0.22/0.48 (((iT = iplus9) | (iT = iplus7) | (iT = iminus4)) <=> ((iT = iplus9) | (iT = iplus7) | (iT = iminus4))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(144,plain,
% 0.22/0.48 ((((iT = iminus4) | (iT = iplus7)) | (iT = iplus9)) <=> ((iT = iplus9) | (iT = iplus7) | (iT = iminus4))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(145,axiom,(((iT = iminus4) | (iT = iplus7)) | (iT = iplus9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_58')).
% 0.22/0.48 tff(146,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.22/0.48 tff(147,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[146, 143])).
% 0.22/0.48 tff(148,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.22/0.48 tff(149,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[148, 143])).
% 0.22/0.48 tff(150,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[149, 143])).
% 0.22/0.48 tff(151,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.22/0.48 tff(152,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[151, 143])).
% 0.22/0.48 tff(153,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus7) | (iT = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[152, 143])).
% 0.22/0.48 tff(154,plain,
% 0.22/0.48 (iT = iminus4),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[153, 142, 40])).
% 0.22/0.48 tff(155,plain,
% 0.22/0.48 (iminus4 = iT),
% 0.22/0.48 inference(symmetry,[status(thm)],[154])).
% 0.22/0.48 tff(156,plain,
% 0.22/0.48 ((iminus4 = iplus9) <=> (iT = iplus9)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[155])).
% 0.22/0.48 tff(157,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iminus4 = iplus9)),
% 0.22/0.48 inference(symmetry,[status(thm)],[156])).
% 0.22/0.48 tff(158,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iF = iminus4)),
% 0.22/0.48 inference(transitivity,[status(thm)],[157, 98, 96])).
% 0.22/0.48 tff(159,plain,
% 0.22/0.48 ((~(iT = iplus9)) <=> (~(iF = iminus4))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[158])).
% 0.22/0.48 tff(160,plain,
% 0.22/0.48 (~(iF = iminus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[142, 159])).
% 0.22/0.48 tff(161,plain,
% 0.22/0.48 ((~((iF = iminus4) | (iF = iplus4))) | (iF = iminus4) | (iF = iplus4)),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(162,plain,
% 0.22/0.48 (iF = iplus4),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[161, 160, 94])).
% 0.22/0.48 tff(163,plain,
% 0.22/0.48 (iplus4 = iF),
% 0.22/0.48 inference(symmetry,[status(thm)],[162])).
% 0.22/0.48 tff(164,plain,
% 0.22/0.48 (iplus4 = iplus9),
% 0.22/0.48 inference(transitivity,[status(thm)],[163, 82])).
% 0.22/0.48 tff(165,plain,
% 0.22/0.48 ((iplus4 = iminus9) <=> (iplus9 = iT)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[164, 60])).
% 0.22/0.48 tff(166,plain,
% 0.22/0.48 ((iplus4 = iminus9) <=> (iT = iplus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[165, 59])).
% 0.22/0.48 tff(167,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iplus4 = iminus9)),
% 0.22/0.48 inference(symmetry,[status(thm)],[166])).
% 0.22/0.48 tff(168,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iT = iplus4)),
% 0.22/0.48 inference(transitivity,[status(thm)],[167, 58])).
% 0.22/0.48 tff(169,plain,
% 0.22/0.48 ((~(iT = iplus9)) <=> (~(iT = iplus4))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[168])).
% 0.22/0.48 tff(170,plain,
% 0.22/0.48 (~(iT = iplus4)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[142, 169])).
% 0.22/0.48 tff(171,plain,
% 0.22/0.48 ((iminus9 = iminus6) <=> (iminus6 = iminus9)),
% 0.22/0.48 inference(commutativity,[status(thm)],[])).
% 0.22/0.48 tff(172,plain,
% 0.22/0.48 ((iT = iminus6) <=> (iminus9 = iminus6)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[55])).
% 0.22/0.48 tff(173,plain,
% 0.22/0.48 ((iT = iminus6) <=> (iminus6 = iminus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[172, 171])).
% 0.22/0.48 tff(174,plain,
% 0.22/0.48 ((iminus6 = iminus9) <=> (iT = iminus6)),
% 0.22/0.48 inference(symmetry,[status(thm)],[173])).
% 0.22/0.48 tff(175,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | (cTorF(iplus9) <=> ((iplus9 = iminus6) | (iplus9 = iplus6)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(176,plain,
% 0.22/0.48 (cTorF(iplus9) <=> ((iplus9 = iminus6) | (iplus9 = iplus6))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[175, 8])).
% 0.22/0.48 tff(177,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | cTorF(iplus9)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | cTorF(iplus9))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(178,plain,
% 0.22/0.48 ((cTorF(iplus9) <=> $true) <=> cTorF(iplus9)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(179,plain,
% 0.22/0.48 (((iplus9 = iminus9) | $true) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(180,plain,
% 0.22/0.48 ((iplus9 = iplus9) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(181,plain,
% 0.22/0.48 (((iplus9 = iminus9) | (iplus9 = iplus9)) <=> ((iplus9 = iminus9) | $true)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[180])).
% 0.22/0.48 tff(182,plain,
% 0.22/0.48 (((iplus9 = iminus9) | (iplus9 = iplus9)) <=> $true),
% 0.22/0.48 inference(transitivity,[status(thm)],[181, 179])).
% 0.22/0.48 tff(183,plain,
% 0.22/0.48 ((cTorF(iplus9) <=> ((iplus9 = iminus9) | (iplus9 = iplus9))) <=> (cTorF(iplus9) <=> $true)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[182])).
% 0.22/0.48 tff(184,plain,
% 0.22/0.48 ((cTorF(iplus9) <=> ((iplus9 = iminus9) | (iplus9 = iplus9))) <=> cTorF(iplus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[183, 178])).
% 0.22/0.48 tff(185,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iplus9) <=> ((iplus9 = iminus9) | (iplus9 = iplus9)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | cTorF(iplus9))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[184])).
% 0.22/0.48 tff(186,plain,
% 0.22/0.48 (((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iplus9) <=> ((iplus9 = iminus9) | (iplus9 = iplus9)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | cTorF(iplus9))),
% 0.22/0.48 inference(transitivity,[status(thm)],[185, 177])).
% 0.22/0.48 tff(187,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iplus9) <=> ((iplus9 = iminus9) | (iplus9 = iplus9)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(188,plain,
% 0.22/0.48 ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | cTorF(iplus9)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.22/0.48 tff(189,plain,
% 0.22/0.48 (cTorF(iplus9)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[188, 67])).
% 0.22/0.48 tff(190,plain,
% 0.22/0.48 ((~(cTorF(iplus9) <=> ((iplus9 = iminus6) | (iplus9 = iplus6)))) | (~cTorF(iplus9)) | ((iplus9 = iminus6) | (iplus9 = iplus6))),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(191,plain,
% 0.22/0.48 ((~(cTorF(iplus9) <=> ((iplus9 = iminus6) | (iplus9 = iplus6)))) | ((iplus9 = iminus6) | (iplus9 = iplus6))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[190, 189])).
% 0.22/0.48 tff(192,plain,
% 0.22/0.48 ((iplus9 = iminus6) | (iplus9 = iplus6)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[191, 176])).
% 0.22/0.48 tff(193,plain,
% 0.22/0.48 (((iT = iplus9) | (iT = iplus6) | (iT = iminus2)) <=> ((iT = iplus9) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(194,plain,
% 0.22/0.48 ((((iT = iplus6) | (iT = iminus2)) | (iT = iplus9)) <=> ((iT = iplus9) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(195,plain,
% 0.22/0.48 (((iT = iplus6) | (iT = iminus2)) <=> ((iT = iplus6) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(196,plain,
% 0.22/0.48 ((((iT = iplus6) | (iT = iminus2)) | (iT = iplus9)) <=> (((iT = iplus6) | (iT = iminus2)) | (iT = iplus9))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[195])).
% 0.22/0.48 tff(197,plain,
% 0.22/0.48 ((((iT = iplus6) | (iT = iminus2)) | (iT = iplus9)) <=> ((iT = iplus9) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.48 inference(transitivity,[status(thm)],[196, 194])).
% 0.22/0.48 tff(198,axiom,(((iT = iplus6) | (iT = iminus2)) | (iT = iplus9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_51')).
% 0.22/0.48 tff(199,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.22/0.48 tff(200,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[199, 193])).
% 0.22/0.48 tff(201,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[200, 193])).
% 0.22/0.48 tff(202,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[201, 193])).
% 0.22/0.48 tff(203,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[202, 193])).
% 0.22/0.48 tff(204,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[203, 193])).
% 0.22/0.48 tff(205,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[204, 193])).
% 0.22/0.48 tff(206,plain,
% 0.22/0.48 ((iT = iplus9) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[205, 193])).
% 0.22/0.48 tff(207,plain,
% 0.22/0.48 (iT = iplus6),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[206, 142, 38])).
% 0.22/0.48 tff(208,plain,
% 0.22/0.48 (iplus6 = iT),
% 0.22/0.48 inference(symmetry,[status(thm)],[207])).
% 0.22/0.48 tff(209,plain,
% 0.22/0.48 ((iplus9 = iplus6) <=> (iplus9 = iT)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[208])).
% 0.22/0.48 tff(210,plain,
% 0.22/0.48 ((iplus9 = iplus6) <=> (iT = iplus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[209, 59])).
% 0.22/0.48 tff(211,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iplus9 = iplus6)),
% 0.22/0.48 inference(symmetry,[status(thm)],[210])).
% 0.22/0.48 tff(212,plain,
% 0.22/0.48 ((~(iT = iplus9)) <=> (~(iplus9 = iplus6))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[211])).
% 0.22/0.48 tff(213,plain,
% 0.22/0.48 (~(iplus9 = iplus6)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[142, 212])).
% 0.22/0.48 tff(214,plain,
% 0.22/0.48 ((~((iplus9 = iminus6) | (iplus9 = iplus6))) | (iplus9 = iminus6) | (iplus9 = iplus6)),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(215,plain,
% 0.22/0.48 (iplus9 = iminus6),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[214, 213, 192])).
% 0.22/0.48 tff(216,plain,
% 0.22/0.48 (iminus6 = iplus9),
% 0.22/0.48 inference(symmetry,[status(thm)],[215])).
% 0.22/0.48 tff(217,plain,
% 0.22/0.48 ((iminus6 = iminus9) <=> (iplus9 = iT)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[216, 60])).
% 0.22/0.48 tff(218,plain,
% 0.22/0.48 ((iminus6 = iminus9) <=> (iT = iplus9)),
% 0.22/0.48 inference(transitivity,[status(thm)],[217, 59])).
% 0.22/0.48 tff(219,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iminus6 = iminus9)),
% 0.22/0.48 inference(symmetry,[status(thm)],[218])).
% 0.22/0.48 tff(220,plain,
% 0.22/0.48 ((iT = iplus9) <=> (iT = iminus6)),
% 0.22/0.48 inference(transitivity,[status(thm)],[219, 174])).
% 0.22/0.48 tff(221,plain,
% 0.22/0.48 ((~(iT = iplus9)) <=> (~(iT = iminus6))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[220])).
% 0.22/0.48 tff(222,plain,
% 0.22/0.48 (~(iT = iminus6)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[142, 221])).
% 0.22/0.48 tff(223,plain,
% 0.22/0.48 (((iT = iminus6) | (iT = iplus4) | (iT = iminus2)) <=> ((iT = iminus6) | (iT = iplus4) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(224,plain,
% 0.22/0.48 ((((iT = iminus6) | (iT = iminus2)) | (iT = iplus4)) <=> ((iT = iminus6) | (iT = iplus4) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(225,plain,
% 0.22/0.48 (((iT = iminus6) | (iT = iminus2)) <=> ((iT = iminus6) | (iT = iminus2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(226,plain,
% 0.22/0.48 ((((iT = iminus6) | (iT = iminus2)) | (iT = iplus4)) <=> (((iT = iminus6) | (iT = iminus2)) | (iT = iplus4))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[225])).
% 0.22/0.48 tff(227,plain,
% 0.22/0.48 ((((iT = iminus6) | (iT = iminus2)) | (iT = iplus4)) <=> ((iT = iminus6) | (iT = iplus4) | (iT = iminus2))),
% 0.22/0.48 inference(transitivity,[status(thm)],[226, 224])).
% 0.22/0.48 tff(228,axiom,(((iT = iminus6) | (iT = iminus2)) | (iT = iplus4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_56')).
% 0.22/0.48 tff(229,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.22/0.48 tff(230,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[229, 223])).
% 0.22/0.48 tff(231,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[230, 223])).
% 0.22/0.48 tff(232,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[231, 223])).
% 0.22/0.48 tff(233,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[232, 223])).
% 0.22/0.48 tff(234,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[233, 223])).
% 0.22/0.48 tff(235,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[234, 223])).
% 0.22/0.48 tff(236,plain,
% 0.22/0.48 ((iT = iminus6) | (iT = iplus4) | (iT = iminus2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[235, 223])).
% 0.22/0.48 tff(237,plain,
% 0.22/0.48 ($false),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[236, 222, 170, 38])).
% 0.22/0.48 tff(238,plain,((iT = iplus7) | (iT = iminus2)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.48 tff(239,plain,
% 0.22/0.48 (iT = iplus7),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[238, 38])).
% 0.22/0.49 tff(240,plain,
% 0.22/0.49 ((iminus2 = iT) <=> (iT = iminus2)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(241,plain,
% 0.22/0.49 ((iT = iminus2) <=> (iminus2 = iT)),
% 0.22/0.49 inference(symmetry,[status(thm)],[240])).
% 0.22/0.49 tff(242,plain,
% 0.22/0.49 ((~(iT = iminus2)) <=> (~(iminus2 = iT))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[241])).
% 0.22/0.49 tff(243,plain,
% 0.22/0.49 (~(iminus2 = iT)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[38, 242])).
% 0.22/0.49 tff(244,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iF) | (X = iT)))) | (cTorF(iminus2) <=> ((iminus2 = iF) | (iminus2 = iT)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(245,plain,
% 0.22/0.49 (cTorF(iminus2) <=> ((iminus2 = iF) | (iminus2 = iT))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[244, 20])).
% 0.22/0.49 tff(246,plain,
% 0.22/0.49 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus2) | (X = iplus2))) <=> (cTorF(X) <=> ((X = iminus2) | (X = iplus2))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(247,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[246])).
% 0.22/0.49 tff(248,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(249,plain,
% 0.22/0.49 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus2) | (X = iminus2))) <=> (cTorF(X) <=> ((X = iminus2) | (X = iplus2))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(250,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iplus2) | (X = iminus2))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[249])).
% 0.22/0.49 tff(251,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus2) | (X = iminus2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.22/0.49 tff(252,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.22/0.49 tff(253,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[252, 248])).
% 0.22/0.49 tff(254,plain,(
% 0.22/0.49 ![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[253])).
% 0.22/0.49 tff(255,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[254, 247])).
% 0.22/0.49 tff(256,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | cTorF(iminus2)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | cTorF(iminus2))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(257,plain,
% 0.22/0.49 ((cTorF(iminus2) <=> $true) <=> cTorF(iminus2)),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(258,plain,
% 0.22/0.49 (($true | (iminus2 = iplus2)) <=> $true),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(259,plain,
% 0.22/0.49 ((iminus2 = iminus2) <=> $true),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(260,plain,
% 0.22/0.49 (((iminus2 = iminus2) | (iminus2 = iplus2)) <=> ($true | (iminus2 = iplus2))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[259])).
% 0.22/0.49 tff(261,plain,
% 0.22/0.49 (((iminus2 = iminus2) | (iminus2 = iplus2)) <=> $true),
% 0.22/0.49 inference(transitivity,[status(thm)],[260, 258])).
% 0.22/0.49 tff(262,plain,
% 0.22/0.49 ((cTorF(iminus2) <=> ((iminus2 = iminus2) | (iminus2 = iplus2))) <=> (cTorF(iminus2) <=> $true)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[261])).
% 0.22/0.49 tff(263,plain,
% 0.22/0.49 ((cTorF(iminus2) <=> ((iminus2 = iminus2) | (iminus2 = iplus2))) <=> cTorF(iminus2)),
% 0.22/0.49 inference(transitivity,[status(thm)],[262, 257])).
% 0.22/0.49 tff(264,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | (cTorF(iminus2) <=> ((iminus2 = iminus2) | (iminus2 = iplus2)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | cTorF(iminus2))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[263])).
% 0.22/0.49 tff(265,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | (cTorF(iminus2) <=> ((iminus2 = iminus2) | (iminus2 = iplus2)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | cTorF(iminus2))),
% 0.22/0.49 inference(transitivity,[status(thm)],[264, 256])).
% 0.22/0.49 tff(266,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | (cTorF(iminus2) <=> ((iminus2 = iminus2) | (iminus2 = iplus2)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(267,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | cTorF(iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.22/0.49 tff(268,plain,
% 0.22/0.49 (cTorF(iminus2)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[267, 255])).
% 0.22/0.49 tff(269,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iF) | (iminus2 = iT)))) | (~cTorF(iminus2)) | ((iminus2 = iF) | (iminus2 = iT))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(270,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iF) | (iminus2 = iT)))) | ((iminus2 = iF) | (iminus2 = iT))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[269, 268])).
% 0.22/0.49 tff(271,plain,
% 0.22/0.49 ((iminus2 = iF) | (iminus2 = iT)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[270, 245])).
% 0.22/0.49 tff(272,plain,
% 0.22/0.49 ((~((iminus2 = iF) | (iminus2 = iT))) | (iminus2 = iF) | (iminus2 = iT)),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(273,plain,
% 0.22/0.49 ((iminus2 = iF) | (iminus2 = iT)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[272, 271])).
% 0.22/0.49 tff(274,plain,
% 0.22/0.49 (iminus2 = iF),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[273, 243])).
% 0.22/0.49 tff(275,plain,
% 0.22/0.49 ((iplus7 = iminus2) <=> (iminus2 = iplus7)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(276,plain,
% 0.22/0.49 ((iT = iminus2) <=> (iplus7 = iminus2)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.49 tff(277,plain,
% 0.22/0.49 ((iT = iminus2) <=> (iminus2 = iplus7)),
% 0.22/0.49 inference(transitivity,[status(thm)],[276, 275])).
% 0.22/0.49 tff(278,plain,
% 0.22/0.49 ((~(iT = iminus2)) <=> (~(iminus2 = iplus7))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[277])).
% 0.22/0.49 tff(279,plain,
% 0.22/0.49 (~(iminus2 = iplus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[38, 278])).
% 0.22/0.49 tff(280,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | (cTorF(iminus2) <=> ((iminus2 = iminus7) | (iminus2 = iplus7)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(281,plain,
% 0.22/0.49 (cTorF(iminus2) <=> ((iminus2 = iminus7) | (iminus2 = iplus7))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[280, 117])).
% 0.22/0.49 tff(282,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus7) | (iminus2 = iplus7)))) | (~cTorF(iminus2)) | ((iminus2 = iminus7) | (iminus2 = iplus7))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(283,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus7) | (iminus2 = iplus7)))) | ((iminus2 = iminus7) | (iminus2 = iplus7))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[282, 268])).
% 0.22/0.49 tff(284,plain,
% 0.22/0.49 ((iminus2 = iminus7) | (iminus2 = iplus7)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[283, 281])).
% 0.22/0.49 tff(285,plain,
% 0.22/0.49 ((~((iminus2 = iminus7) | (iminus2 = iplus7))) | (iminus2 = iminus7) | (iminus2 = iplus7)),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(286,plain,
% 0.22/0.49 ((iminus2 = iminus7) | (iminus2 = iplus7)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[285, 284])).
% 0.22/0.49 tff(287,plain,
% 0.22/0.49 (iminus2 = iminus7),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[286, 279])).
% 0.22/0.49 tff(288,plain,
% 0.22/0.49 (iminus7 = iminus2),
% 0.22/0.49 inference(symmetry,[status(thm)],[287])).
% 0.22/0.49 tff(289,plain,
% 0.22/0.49 (iminus7 = iF),
% 0.22/0.49 inference(transitivity,[status(thm)],[288, 274])).
% 0.22/0.49 tff(290,plain,
% 0.22/0.49 ((iT = iminus7) <=> (iplus7 = iF)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[239, 289])).
% 0.22/0.49 tff(291,plain,
% 0.22/0.49 ((iplus7 = iF) <=> (iT = iminus7)),
% 0.22/0.49 inference(symmetry,[status(thm)],[290])).
% 0.22/0.49 tff(292,plain,
% 0.22/0.49 ((~(iplus7 = iF)) <=> (~(iT = iminus7))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[291])).
% 0.22/0.49 tff(293,plain,
% 0.22/0.49 ((iT = iF) <=> (iplus7 = iF)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.49 tff(294,plain,
% 0.22/0.49 ((~(iT = iF)) <=> (~(iplus7 = iF))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[293])).
% 0.22/0.49 tff(295,plain,
% 0.22/0.49 (~(iplus7 = iF)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[79, 294])).
% 0.22/0.49 tff(296,plain,
% 0.22/0.49 (~(iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[295, 292])).
% 0.22/0.49 tff(297,plain,
% 0.22/0.49 (((iT = iminus7) | (iT = iplus6) | (iT = iminus2)) <=> ((iT = iminus7) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(298,plain,
% 0.22/0.49 ((((iT = iplus6) | (iT = iminus2)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(299,plain,
% 0.22/0.49 ((((iT = iplus6) | (iT = iminus2)) | (iT = iminus7)) <=> (((iT = iplus6) | (iT = iminus2)) | (iT = iminus7))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[195])).
% 0.22/0.49 tff(300,plain,
% 0.22/0.49 ((((iT = iplus6) | (iT = iminus2)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iplus6) | (iT = iminus2))),
% 0.22/0.49 inference(transitivity,[status(thm)],[299, 298])).
% 0.22/0.49 tff(301,axiom,(((iT = iplus6) | (iT = iminus2)) | (iT = iminus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_27')).
% 0.22/0.49 tff(302,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[301, 300])).
% 0.22/0.49 tff(303,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[302, 297])).
% 0.22/0.49 tff(304,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[303, 297])).
% 0.22/0.49 tff(305,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[304, 297])).
% 0.22/0.49 tff(306,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[305, 297])).
% 0.22/0.49 tff(307,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[306, 297])).
% 0.22/0.49 tff(308,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[307, 297])).
% 0.22/0.49 tff(309,plain,
% 0.22/0.49 ((iT = iminus7) | (iT = iplus6) | (iT = iminus2)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[308, 297])).
% 0.22/0.49 tff(310,plain,
% 0.22/0.49 (iT = iplus6),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[309, 296, 38])).
% 0.22/0.49 tff(311,plain,
% 0.22/0.49 (iplus6 = iT),
% 0.22/0.49 inference(symmetry,[status(thm)],[310])).
% 0.22/0.49 tff(312,plain,
% 0.22/0.49 (iplus6 = iplus7),
% 0.22/0.49 inference(transitivity,[status(thm)],[311, 239])).
% 0.22/0.49 tff(313,plain,
% 0.22/0.49 ((iF = iplus6) <=> (iF = iplus7)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[312])).
% 0.22/0.49 tff(314,plain,
% 0.22/0.49 ((iF = iplus6) <=> (iplus7 = iF)),
% 0.22/0.49 inference(transitivity,[status(thm)],[313, 37])).
% 0.22/0.49 tff(315,plain,
% 0.22/0.49 ((iplus7 = iF) <=> (iF = iplus6)),
% 0.22/0.49 inference(symmetry,[status(thm)],[314])).
% 0.22/0.49 tff(316,plain,
% 0.22/0.49 ((~(iplus7 = iF)) <=> (~(iF = iplus6))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[315])).
% 0.22/0.49 tff(317,plain,
% 0.22/0.49 (~(iF = iplus6)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[295, 316])).
% 0.22/0.49 tff(318,plain,
% 0.22/0.49 ((~((iF = iminus6) | (iF = iplus6))) | (iF = iminus6) | (iF = iplus6)),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(319,plain,
% 0.22/0.49 (iF = iminus6),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[318, 317, 36])).
% 0.22/0.49 tff(320,plain,
% 0.22/0.49 (iminus6 = iF),
% 0.22/0.49 inference(symmetry,[status(thm)],[319])).
% 0.22/0.49 tff(321,plain,
% 0.22/0.49 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus5) | (X = iplus5))) <=> (cTorF(X) <=> ((X = iminus5) | (X = iplus5))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(322,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[321])).
% 0.22/0.49 tff(323,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(324,plain,
% 0.22/0.49 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus5) | (X = iminus5))) <=> (cTorF(X) <=> ((X = iminus5) | (X = iplus5))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(325,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iplus5) | (X = iminus5))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[324])).
% 0.22/0.49 tff(326,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus5) | (X = iminus5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.22/0.49 tff(327,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.22/0.49 tff(328,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[327, 323])).
% 0.22/0.49 tff(329,plain,(
% 0.22/0.49 ![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[328])).
% 0.22/0.49 tff(330,plain,
% 0.22/0.49 (![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[329, 322])).
% 0.22/0.49 tff(331,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | (cTorF(iminus6) <=> ((iminus6 = iminus5) | (iminus6 = iplus5)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(332,plain,
% 0.22/0.49 (cTorF(iminus6) <=> ((iminus6 = iminus5) | (iminus6 = iplus5))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[331, 330])).
% 0.22/0.49 tff(333,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | cTorF(iminus6)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | cTorF(iminus6))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(334,plain,
% 0.22/0.49 ((cTorF(iminus6) <=> $true) <=> cTorF(iminus6)),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(335,plain,
% 0.22/0.49 (($true | (iminus6 = iplus6)) <=> $true),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(336,plain,
% 0.22/0.49 ((iminus6 = iminus6) <=> $true),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(337,plain,
% 0.22/0.49 (((iminus6 = iminus6) | (iminus6 = iplus6)) <=> ($true | (iminus6 = iplus6))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[336])).
% 0.22/0.49 tff(338,plain,
% 0.22/0.49 (((iminus6 = iminus6) | (iminus6 = iplus6)) <=> $true),
% 0.22/0.49 inference(transitivity,[status(thm)],[337, 335])).
% 0.22/0.49 tff(339,plain,
% 0.22/0.49 ((cTorF(iminus6) <=> ((iminus6 = iminus6) | (iminus6 = iplus6))) <=> (cTorF(iminus6) <=> $true)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[338])).
% 0.22/0.49 tff(340,plain,
% 0.22/0.49 ((cTorF(iminus6) <=> ((iminus6 = iminus6) | (iminus6 = iplus6))) <=> cTorF(iminus6)),
% 0.22/0.49 inference(transitivity,[status(thm)],[339, 334])).
% 0.22/0.49 tff(341,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | (cTorF(iminus6) <=> ((iminus6 = iminus6) | (iminus6 = iplus6)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | cTorF(iminus6))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[340])).
% 0.22/0.49 tff(342,plain,
% 0.22/0.49 (((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | (cTorF(iminus6) <=> ((iminus6 = iminus6) | (iminus6 = iplus6)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | cTorF(iminus6))),
% 0.22/0.49 inference(transitivity,[status(thm)],[341, 333])).
% 0.22/0.49 tff(343,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | (cTorF(iminus6) <=> ((iminus6 = iminus6) | (iminus6 = iplus6)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(344,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus6) | (X = iplus6)))) | cTorF(iminus6)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.22/0.49 tff(345,plain,
% 0.22/0.49 (cTorF(iminus6)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[344, 8])).
% 0.22/0.49 tff(346,plain,
% 0.22/0.49 ((~(cTorF(iminus6) <=> ((iminus6 = iminus5) | (iminus6 = iplus5)))) | (~cTorF(iminus6)) | ((iminus6 = iminus5) | (iminus6 = iplus5))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(347,plain,
% 0.22/0.49 ((~(cTorF(iminus6) <=> ((iminus6 = iminus5) | (iminus6 = iplus5)))) | ((iminus6 = iminus5) | (iminus6 = iplus5))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[346, 345])).
% 0.22/0.49 tff(348,plain,
% 0.22/0.49 ((iminus6 = iminus5) | (iminus6 = iplus5)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[347, 332])).
% 0.22/0.49 tff(349,plain,
% 0.22/0.49 ((iminus6 = iminus5) <=> (iminus5 = iminus6)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(350,plain,
% 0.22/0.49 ((iminus5 = iminus6) <=> (iminus6 = iminus5)),
% 0.22/0.49 inference(symmetry,[status(thm)],[349])).
% 0.22/0.49 tff(351,plain,
% 0.22/0.49 ((iminus5 = iminus6) <=> (iminus5 = iF)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[320])).
% 0.22/0.49 tff(352,plain,
% 0.22/0.49 ((iminus5 = iF) <=> (iminus5 = iminus6)),
% 0.22/0.49 inference(symmetry,[status(thm)],[351])).
% 0.22/0.49 tff(353,plain,
% 0.22/0.49 ((iT = iminus6) <=> (iplus7 = iminus6)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.49 tff(354,plain,
% 0.22/0.49 ((iplus7 = iminus6) <=> (iT = iminus6)),
% 0.22/0.49 inference(symmetry,[status(thm)],[353])).
% 0.22/0.49 tff(355,plain,
% 0.22/0.49 ((iplus7 = iminus6) <=> (iplus7 = iF)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[320])).
% 0.22/0.49 tff(356,plain,
% 0.22/0.49 ((iplus7 = iF) <=> (iplus7 = iminus6)),
% 0.22/0.49 inference(symmetry,[status(thm)],[355])).
% 0.22/0.49 tff(357,plain,
% 0.22/0.49 ((iplus7 = iF) <=> (iT = iminus6)),
% 0.22/0.49 inference(transitivity,[status(thm)],[356, 354])).
% 0.22/0.49 tff(358,plain,
% 0.22/0.49 ((~(iplus7 = iF)) <=> (~(iT = iminus6))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[357])).
% 0.22/0.49 tff(359,plain,
% 0.22/0.49 (~(iT = iminus6)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[295, 358])).
% 0.22/0.49 tff(360,assumption,(~(iT = iminus6)), introduced(assumption)).
% 0.22/0.49 tff(361,plain,
% 0.22/0.49 ((iminus9 = iminus2) <=> (iminus2 = iminus9)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(362,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus9) | (X = iplus9)))) | (cTorF(iminus2) <=> ((iminus2 = iminus9) | (iminus2 = iplus9)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(363,plain,
% 0.22/0.49 (cTorF(iminus2) <=> ((iminus2 = iminus9) | (iminus2 = iplus9))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[362, 67])).
% 0.22/0.49 tff(364,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus9) | (iminus2 = iplus9)))) | (~cTorF(iminus2)) | ((iminus2 = iminus9) | (iminus2 = iplus9))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(365,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus9) | (iminus2 = iplus9)))) | ((iminus2 = iminus9) | (iminus2 = iplus9))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[364, 268])).
% 0.22/0.49 tff(366,plain,
% 0.22/0.49 ((iminus2 = iminus9) | (iminus2 = iplus9)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[365, 363])).
% 0.22/0.49 tff(367,assumption,(~(iT = iminus5)), introduced(assumption)).
% 0.22/0.49 tff(368,plain,
% 0.22/0.49 (((iT = iminus9) | (iT = iminus2) | (iT = iminus5)) <=> ((iT = iminus9) | (iT = iminus2) | (iT = iminus5))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(369,plain,
% 0.22/0.49 ((((iT = iminus5) | (iT = iminus9)) | (iT = iminus2)) <=> ((iT = iminus9) | (iT = iminus2) | (iT = iminus5))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(370,axiom,(((iT = iminus5) | (iT = iminus9)) | (iT = iminus2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_35')).
% 0.22/0.49 tff(371,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.22/0.49 tff(372,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[371, 368])).
% 0.22/0.49 tff(373,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[372, 368])).
% 0.22/0.49 tff(374,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[373, 368])).
% 0.22/0.49 tff(375,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[374, 368])).
% 0.22/0.49 tff(376,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[375, 368])).
% 0.22/0.49 tff(377,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[376, 368])).
% 0.22/0.49 tff(378,plain,
% 0.22/0.49 ((iT = iminus9) | (iT = iminus2) | (iT = iminus5)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[377, 368])).
% 0.22/0.49 tff(379,plain,
% 0.22/0.49 (iT = iminus9),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[378, 38, 367])).
% 0.22/0.49 tff(380,plain,
% 0.22/0.49 (iminus9 = iT),
% 0.22/0.49 inference(symmetry,[status(thm)],[379])).
% 0.22/0.49 tff(381,plain,
% 0.22/0.49 ((iminus2 = iminus9) <=> (iminus2 = iT)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[380])).
% 0.22/0.49 tff(382,plain,
% 0.22/0.49 ((iminus2 = iminus9) <=> (iT = iminus2)),
% 0.22/0.49 inference(transitivity,[status(thm)],[381, 240])).
% 0.22/0.49 tff(383,plain,
% 0.22/0.49 ((iT = iminus2) <=> (iminus2 = iminus9)),
% 0.22/0.49 inference(symmetry,[status(thm)],[382])).
% 0.22/0.49 tff(384,plain,
% 0.22/0.49 ((~(iT = iminus2)) <=> (~(iminus2 = iminus9))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[383])).
% 0.22/0.49 tff(385,plain,
% 0.22/0.49 (~(iminus2 = iminus9)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[38, 384])).
% 0.22/0.49 tff(386,plain,
% 0.22/0.49 ((~((iminus2 = iminus9) | (iminus2 = iplus9))) | (iminus2 = iminus9) | (iminus2 = iplus9)),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(387,plain,
% 0.22/0.49 (iminus2 = iplus9),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[386, 385, 366])).
% 0.22/0.49 tff(388,plain,
% 0.22/0.49 (iplus9 = iminus2),
% 0.22/0.49 inference(symmetry,[status(thm)],[387])).
% 0.22/0.49 tff(389,plain,
% 0.22/0.49 ((iT = iplus9) <=> (iminus9 = iminus2)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[379, 388])).
% 0.22/0.49 tff(390,plain,
% 0.22/0.49 ((iT = iplus9) <=> (iminus2 = iminus9)),
% 0.22/0.49 inference(transitivity,[status(thm)],[389, 361])).
% 0.22/0.49 tff(391,plain,
% 0.22/0.49 ((iminus2 = iminus9) <=> (iT = iplus9)),
% 0.22/0.49 inference(symmetry,[status(thm)],[390])).
% 0.22/0.49 tff(392,plain,
% 0.22/0.49 ((~(iminus2 = iminus9)) <=> (~(iT = iplus9))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[391])).
% 0.22/0.49 tff(393,plain,
% 0.22/0.49 (~(iT = iplus9)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[385, 392])).
% 0.22/0.49 tff(394,plain,
% 0.22/0.49 (((iT = iminus6) | (iT = iplus9) | (iT = iminus7)) <=> ((iT = iminus6) | (iT = iplus9) | (iT = iminus7))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(395,plain,
% 0.22/0.49 ((((iT = iminus6) | (iT = iplus9)) | (iT = iminus7)) <=> ((iT = iminus6) | (iT = iplus9) | (iT = iminus7))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(396,axiom,(((iT = iminus6) | (iT = iplus9)) | (iT = iminus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_14')).
% 0.22/0.49 tff(397,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.22/0.49 tff(398,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[397, 394])).
% 0.22/0.49 tff(399,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[398, 394])).
% 0.22/0.49 tff(400,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[399, 394])).
% 0.22/0.49 tff(401,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[400, 394])).
% 0.22/0.49 tff(402,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[401, 394])).
% 0.22/0.49 tff(403,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[402, 394])).
% 0.22/0.49 tff(404,plain,
% 0.22/0.49 ((iT = iminus6) | (iT = iplus9) | (iT = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[403, 394])).
% 0.22/0.49 tff(405,plain,
% 0.22/0.49 (iT = iminus7),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[404, 393, 360])).
% 0.22/0.49 tff(406,plain,
% 0.22/0.49 (iminus7 = iT),
% 0.22/0.49 inference(symmetry,[status(thm)],[405])).
% 0.22/0.49 tff(407,plain,
% 0.22/0.49 ((iminus2 = iminus7) <=> (iplus9 = iT)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[387, 406])).
% 0.22/0.49 tff(408,plain,
% 0.22/0.49 ((iminus2 = iminus7) <=> (iT = iplus9)),
% 0.22/0.49 inference(transitivity,[status(thm)],[407, 59])).
% 0.22/0.49 tff(409,plain,
% 0.22/0.49 ((iT = iplus9) <=> (iminus2 = iminus7)),
% 0.22/0.49 inference(symmetry,[status(thm)],[408])).
% 0.22/0.49 tff(410,plain,
% 0.22/0.49 ((~(iT = iplus9)) <=> (~(iminus2 = iminus7))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[409])).
% 0.22/0.49 tff(411,plain,
% 0.22/0.49 (~(iminus2 = iminus7)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[393, 410])).
% 0.22/0.49 tff(412,plain,
% 0.22/0.49 ((iplus9 = iplus7) <=> (iplus7 = iplus9)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(413,plain,
% 0.22/0.49 ((iminus2 = iplus7) <=> (iplus9 = iplus7)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[387])).
% 0.22/0.49 tff(414,plain,
% 0.22/0.49 ((iminus2 = iplus7) <=> (iplus7 = iplus9)),
% 0.22/0.49 inference(transitivity,[status(thm)],[413, 412])).
% 0.22/0.49 tff(415,plain,
% 0.22/0.49 ((iplus7 = iplus9) <=> (iminus2 = iplus7)),
% 0.22/0.49 inference(symmetry,[status(thm)],[414])).
% 0.22/0.49 tff(416,plain,
% 0.22/0.49 ((iminus9 = iminus4) <=> (iminus4 = iminus9)),
% 0.22/0.49 inference(commutativity,[status(thm)],[])).
% 0.22/0.49 tff(417,plain,
% 0.22/0.49 ((iT = iminus4) <=> (iminus9 = iminus4)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[379])).
% 0.22/0.49 tff(418,plain,
% 0.22/0.49 ((iT = iminus4) <=> (iminus4 = iminus9)),
% 0.22/0.49 inference(transitivity,[status(thm)],[417, 416])).
% 0.22/0.49 tff(419,plain,
% 0.22/0.49 ((iminus4 = iminus9) <=> (iT = iminus4)),
% 0.22/0.49 inference(symmetry,[status(thm)],[418])).
% 0.22/0.49 tff(420,plain,
% 0.22/0.49 ((~![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))) | (cTorF(iminus2) <=> ((iminus2 = iminus4) | (iminus2 = iplus4)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(421,plain,
% 0.22/0.49 (cTorF(iminus2) <=> ((iminus2 = iminus4) | (iminus2 = iplus4))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[420, 89])).
% 0.22/0.49 tff(422,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus4) | (iminus2 = iplus4)))) | (~cTorF(iminus2)) | ((iminus2 = iminus4) | (iminus2 = iplus4))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(423,plain,
% 0.22/0.49 ((~(cTorF(iminus2) <=> ((iminus2 = iminus4) | (iminus2 = iplus4)))) | ((iminus2 = iminus4) | (iminus2 = iplus4))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[422, 268])).
% 0.22/0.50 tff(424,plain,
% 0.22/0.50 ((iminus2 = iminus4) | (iminus2 = iplus4)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[423, 421])).
% 0.22/0.50 tff(425,plain,
% 0.22/0.50 (iT = iplus4),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[236, 38, 360])).
% 0.22/0.50 tff(426,plain,
% 0.22/0.50 (iplus4 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[425])).
% 0.22/0.50 tff(427,plain,
% 0.22/0.50 (iplus4 = iminus9),
% 0.22/0.50 inference(transitivity,[status(thm)],[426, 379])).
% 0.22/0.50 tff(428,plain,
% 0.22/0.50 ((iminus2 = iplus4) <=> (iminus2 = iminus9)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[427])).
% 0.22/0.50 tff(429,plain,
% 0.22/0.50 ((iminus2 = iminus9) <=> (iminus2 = iplus4)),
% 0.22/0.50 inference(symmetry,[status(thm)],[428])).
% 0.22/0.50 tff(430,plain,
% 0.22/0.50 ((~(iminus2 = iminus9)) <=> (~(iminus2 = iplus4))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[429])).
% 0.22/0.50 tff(431,plain,
% 0.22/0.50 (~(iminus2 = iplus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[385, 430])).
% 0.22/0.50 tff(432,plain,
% 0.22/0.50 ((~((iminus2 = iminus4) | (iminus2 = iplus4))) | (iminus2 = iminus4) | (iminus2 = iplus4)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(433,plain,
% 0.22/0.50 (iminus2 = iminus4),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[432, 431, 424])).
% 0.22/0.50 tff(434,plain,
% 0.22/0.50 (iminus4 = iminus2),
% 0.22/0.50 inference(symmetry,[status(thm)],[433])).
% 0.22/0.50 tff(435,plain,
% 0.22/0.50 (iminus4 = iplus9),
% 0.22/0.50 inference(transitivity,[status(thm)],[434, 387])).
% 0.22/0.50 tff(436,plain,
% 0.22/0.50 ((iminus4 = iminus9) <=> (iplus9 = iT)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[435, 380])).
% 0.22/0.50 tff(437,plain,
% 0.22/0.50 ((iminus4 = iminus9) <=> (iT = iplus9)),
% 0.22/0.50 inference(transitivity,[status(thm)],[436, 59])).
% 0.22/0.50 tff(438,plain,
% 0.22/0.50 ((iT = iplus9) <=> (iminus4 = iminus9)),
% 0.22/0.50 inference(symmetry,[status(thm)],[437])).
% 0.22/0.50 tff(439,plain,
% 0.22/0.50 ((iT = iplus9) <=> (iT = iminus4)),
% 0.22/0.50 inference(transitivity,[status(thm)],[438, 419])).
% 0.22/0.50 tff(440,plain,
% 0.22/0.50 ((~(iT = iplus9)) <=> (~(iT = iminus4))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[439])).
% 0.22/0.50 tff(441,plain,
% 0.22/0.50 (~(iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[393, 440])).
% 0.22/0.50 tff(442,plain,
% 0.22/0.50 (iT = iplus7),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[153, 393, 441])).
% 0.22/0.50 tff(443,plain,
% 0.22/0.50 (iplus7 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[442])).
% 0.22/0.50 tff(444,plain,
% 0.22/0.50 ((iplus7 = iplus9) <=> (iT = iplus9)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[443])).
% 0.22/0.50 tff(445,plain,
% 0.22/0.50 ((iT = iplus9) <=> (iplus7 = iplus9)),
% 0.22/0.50 inference(symmetry,[status(thm)],[444])).
% 0.22/0.50 tff(446,plain,
% 0.22/0.50 ((iT = iplus9) <=> (iminus2 = iplus7)),
% 0.22/0.50 inference(transitivity,[status(thm)],[445, 415])).
% 0.22/0.50 tff(447,plain,
% 0.22/0.50 ((~(iT = iplus9)) <=> (~(iminus2 = iplus7))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[446])).
% 0.22/0.50 tff(448,plain,
% 0.22/0.50 (~(iminus2 = iplus7)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[393, 447])).
% 0.22/0.50 tff(449,plain,
% 0.22/0.50 ($false),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[285, 448, 411, 284])).
% 0.22/0.50 tff(450,plain,((iT = iminus2) | (iT = iminus6) | (iT = iminus5)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.50 tff(451,plain,
% 0.22/0.50 (iT = iminus5),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[450, 359, 38])).
% 0.22/0.50 tff(452,plain,
% 0.22/0.50 (iminus5 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[451])).
% 0.22/0.50 tff(453,plain,
% 0.22/0.50 (iminus5 = iplus7),
% 0.22/0.50 inference(transitivity,[status(thm)],[452, 239])).
% 0.22/0.50 tff(454,plain,
% 0.22/0.50 ((iminus5 = iF) <=> (iplus7 = iF)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[453])).
% 0.22/0.50 tff(455,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iminus5 = iF)),
% 0.22/0.50 inference(symmetry,[status(thm)],[454])).
% 0.22/0.50 tff(456,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iminus6 = iminus5)),
% 0.22/0.50 inference(transitivity,[status(thm)],[455, 352, 350])).
% 0.22/0.50 tff(457,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iminus6 = iminus5))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[456])).
% 0.22/0.50 tff(458,plain,
% 0.22/0.50 (~(iminus6 = iminus5)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 457])).
% 0.22/0.50 tff(459,plain,
% 0.22/0.50 ((~((iminus6 = iminus5) | (iminus6 = iplus5))) | (iminus6 = iminus5) | (iminus6 = iplus5)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(460,plain,
% 0.22/0.50 (iminus6 = iplus5),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[459, 458, 348])).
% 0.22/0.50 tff(461,plain,
% 0.22/0.50 (iplus5 = iminus6),
% 0.22/0.50 inference(symmetry,[status(thm)],[460])).
% 0.22/0.50 tff(462,plain,
% 0.22/0.50 (iplus5 = iF),
% 0.22/0.50 inference(transitivity,[status(thm)],[461, 320])).
% 0.22/0.50 tff(463,plain,
% 0.22/0.50 ((iplus5 = iminus3) <=> (iF = iminus3)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[462])).
% 0.22/0.50 tff(464,plain,
% 0.22/0.50 ((iplus5 = iminus3) <=> (iminus3 = iF)),
% 0.22/0.50 inference(transitivity,[status(thm)],[463, 1])).
% 0.22/0.50 tff(465,plain,
% 0.22/0.50 ((iminus3 = iF) <=> (iplus5 = iminus3)),
% 0.22/0.50 inference(symmetry,[status(thm)],[464])).
% 0.22/0.50 tff(466,plain,
% 0.22/0.50 ((iplus7 = iminus4) <=> (iminus4 = iplus7)),
% 0.22/0.50 inference(commutativity,[status(thm)],[])).
% 0.22/0.50 tff(467,plain,
% 0.22/0.50 ((iT = iminus4) <=> (iplus7 = iminus4)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.50 tff(468,plain,
% 0.22/0.50 ((iT = iminus4) <=> (iminus4 = iplus7)),
% 0.22/0.50 inference(transitivity,[status(thm)],[467, 466])).
% 0.22/0.50 tff(469,plain,
% 0.22/0.50 ((iminus4 = iplus7) <=> (iT = iminus4)),
% 0.22/0.50 inference(symmetry,[status(thm)],[468])).
% 0.22/0.50 tff(470,plain,
% 0.22/0.50 ((~![X: $i] : (cTorF(X) <=> ((X = iminus4) | (X = iplus4)))) | (cTorF(iminus6) <=> ((iminus6 = iminus4) | (iminus6 = iplus4)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(471,plain,
% 0.22/0.50 (cTorF(iminus6) <=> ((iminus6 = iminus4) | (iminus6 = iplus4))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[470, 89])).
% 0.22/0.50 tff(472,plain,
% 0.22/0.50 ((~(cTorF(iminus6) <=> ((iminus6 = iminus4) | (iminus6 = iplus4)))) | (~cTorF(iminus6)) | ((iminus6 = iminus4) | (iminus6 = iplus4))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(473,plain,
% 0.22/0.50 ((~(cTorF(iminus6) <=> ((iminus6 = iminus4) | (iminus6 = iplus4)))) | ((iminus6 = iminus4) | (iminus6 = iplus4))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[472, 345])).
% 0.22/0.50 tff(474,plain,
% 0.22/0.50 ((iminus6 = iminus4) | (iminus6 = iplus4)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[473, 471])).
% 0.22/0.50 tff(475,plain,
% 0.22/0.50 ((iminus6 = iplus4) <=> (iplus4 = iminus6)),
% 0.22/0.50 inference(commutativity,[status(thm)],[])).
% 0.22/0.50 tff(476,plain,
% 0.22/0.50 ((iplus4 = iminus6) <=> (iminus6 = iplus4)),
% 0.22/0.50 inference(symmetry,[status(thm)],[475])).
% 0.22/0.50 tff(477,plain,
% 0.22/0.50 ((iplus4 = iminus6) <=> (iplus4 = iF)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[320])).
% 0.22/0.50 tff(478,plain,
% 0.22/0.50 ((iplus4 = iF) <=> (iplus4 = iminus6)),
% 0.22/0.50 inference(symmetry,[status(thm)],[477])).
% 0.22/0.50 tff(479,plain,
% 0.22/0.50 (iT = iplus4),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[236, 359, 38])).
% 0.22/0.50 tff(480,plain,
% 0.22/0.50 (iplus4 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[479])).
% 0.22/0.50 tff(481,plain,
% 0.22/0.50 (iplus4 = iplus7),
% 0.22/0.50 inference(transitivity,[status(thm)],[480, 239])).
% 0.22/0.50 tff(482,plain,
% 0.22/0.50 ((iplus4 = iF) <=> (iplus7 = iF)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[481])).
% 0.22/0.50 tff(483,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iplus4 = iF)),
% 0.22/0.50 inference(symmetry,[status(thm)],[482])).
% 0.22/0.50 tff(484,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iminus6 = iplus4)),
% 0.22/0.50 inference(transitivity,[status(thm)],[483, 478, 476])).
% 0.22/0.50 tff(485,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iminus6 = iplus4))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[484])).
% 0.22/0.50 tff(486,plain,
% 0.22/0.50 (~(iminus6 = iplus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 485])).
% 0.22/0.50 tff(487,plain,
% 0.22/0.50 ((~((iminus6 = iminus4) | (iminus6 = iplus4))) | (iminus6 = iminus4) | (iminus6 = iplus4)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(488,plain,
% 0.22/0.50 (iminus6 = iminus4),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[487, 486, 474])).
% 0.22/0.50 tff(489,plain,
% 0.22/0.50 (iminus4 = iminus6),
% 0.22/0.50 inference(symmetry,[status(thm)],[488])).
% 0.22/0.50 tff(490,plain,
% 0.22/0.50 (iminus4 = iF),
% 0.22/0.50 inference(transitivity,[status(thm)],[489, 320])).
% 0.22/0.50 tff(491,plain,
% 0.22/0.50 ((iminus4 = iplus7) <=> (iF = iplus7)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[490])).
% 0.22/0.50 tff(492,plain,
% 0.22/0.50 ((iminus4 = iplus7) <=> (iplus7 = iF)),
% 0.22/0.50 inference(transitivity,[status(thm)],[491, 37])).
% 0.22/0.50 tff(493,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iminus4 = iplus7)),
% 0.22/0.50 inference(symmetry,[status(thm)],[492])).
% 0.22/0.50 tff(494,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iT = iminus4)),
% 0.22/0.50 inference(transitivity,[status(thm)],[493, 469])).
% 0.22/0.50 tff(495,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iT = iminus4))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[494])).
% 0.22/0.50 tff(496,plain,
% 0.22/0.50 (~(iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 495])).
% 0.22/0.50 tff(497,plain,
% 0.22/0.50 (((iT = iminus7) | (iT = iminus3) | (iT = iminus4)) <=> ((iT = iminus7) | (iT = iminus3) | (iT = iminus4))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(498,plain,
% 0.22/0.50 ((((iT = iminus3) | (iT = iminus4)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iminus3) | (iT = iminus4))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(499,plain,
% 0.22/0.50 (((iT = iminus4) | (iT = iminus3)) <=> ((iT = iminus3) | (iT = iminus4))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(500,plain,
% 0.22/0.50 ((((iT = iminus4) | (iT = iminus3)) | (iT = iminus7)) <=> (((iT = iminus3) | (iT = iminus4)) | (iT = iminus7))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[499])).
% 0.22/0.50 tff(501,plain,
% 0.22/0.50 ((((iT = iminus4) | (iT = iminus3)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iminus3) | (iT = iminus4))),
% 0.22/0.50 inference(transitivity,[status(thm)],[500, 498])).
% 0.22/0.50 tff(502,axiom,(((iT = iminus4) | (iT = iminus3)) | (iT = iminus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_36')).
% 0.22/0.50 tff(503,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[502, 501])).
% 0.22/0.50 tff(504,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[503, 497])).
% 0.22/0.50 tff(505,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[504, 497])).
% 0.22/0.50 tff(506,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[505, 497])).
% 0.22/0.50 tff(507,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[506, 497])).
% 0.22/0.50 tff(508,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[507, 497])).
% 0.22/0.50 tff(509,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[508, 497])).
% 0.22/0.50 tff(510,plain,
% 0.22/0.50 ((iT = iminus7) | (iT = iminus3) | (iT = iminus4)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[509, 497])).
% 0.22/0.50 tff(511,plain,
% 0.22/0.50 (iT = iminus3),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[510, 496, 296])).
% 0.22/0.50 tff(512,plain,
% 0.22/0.50 (iminus3 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[511])).
% 0.22/0.50 tff(513,plain,
% 0.22/0.50 (iminus3 = iplus7),
% 0.22/0.50 inference(transitivity,[status(thm)],[512, 239])).
% 0.22/0.50 tff(514,plain,
% 0.22/0.50 ((iminus3 = iF) <=> (iplus7 = iF)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[513])).
% 0.22/0.50 tff(515,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iminus3 = iF)),
% 0.22/0.50 inference(symmetry,[status(thm)],[514])).
% 0.22/0.50 tff(516,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iplus5 = iminus3)),
% 0.22/0.50 inference(transitivity,[status(thm)],[515, 465])).
% 0.22/0.50 tff(517,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iplus5 = iminus3))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[516])).
% 0.22/0.50 tff(518,plain,
% 0.22/0.50 (~(iplus5 = iminus3)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 517])).
% 0.22/0.50 tff(519,plain,
% 0.22/0.50 ((iplus5 = iplus3) <=> (iF = iplus3)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[462])).
% 0.22/0.50 tff(520,plain,
% 0.22/0.50 ((iF = iplus3) <=> (iplus5 = iplus3)),
% 0.22/0.50 inference(symmetry,[status(thm)],[519])).
% 0.22/0.50 tff(521,plain,
% 0.22/0.50 ((iT = iminus9) <=> (iplus7 = iminus9)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.50 tff(522,plain,
% 0.22/0.50 ((iplus7 = iminus9) <=> (iT = iminus9)),
% 0.22/0.50 inference(symmetry,[status(thm)],[521])).
% 0.22/0.50 tff(523,plain,
% 0.22/0.50 (iT = iplus9),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[404, 359, 296])).
% 0.22/0.50 tff(524,plain,
% 0.22/0.50 (iplus9 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[523])).
% 0.22/0.50 tff(525,plain,
% 0.22/0.50 (iplus9 = iplus7),
% 0.22/0.50 inference(transitivity,[status(thm)],[524, 239])).
% 0.22/0.50 tff(526,plain,
% 0.22/0.50 ((iF = iplus9) <=> (iF = iplus7)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[525])).
% 0.22/0.50 tff(527,plain,
% 0.22/0.50 ((iF = iplus9) <=> (iplus7 = iF)),
% 0.22/0.50 inference(transitivity,[status(thm)],[526, 37])).
% 0.22/0.50 tff(528,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iF = iplus9)),
% 0.22/0.50 inference(symmetry,[status(thm)],[527])).
% 0.22/0.50 tff(529,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iF = iplus9))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[528])).
% 0.22/0.50 tff(530,plain,
% 0.22/0.50 (~(iF = iplus9)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 529])).
% 0.22/0.50 tff(531,plain,
% 0.22/0.50 (iF = iminus9),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[81, 530, 72])).
% 0.22/0.50 tff(532,plain,
% 0.22/0.50 (iminus9 = iF),
% 0.22/0.50 inference(symmetry,[status(thm)],[531])).
% 0.22/0.50 tff(533,plain,
% 0.22/0.50 ((iplus7 = iminus9) <=> (iplus7 = iF)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[532])).
% 0.22/0.50 tff(534,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iplus7 = iminus9)),
% 0.22/0.50 inference(symmetry,[status(thm)],[533])).
% 0.22/0.50 tff(535,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iT = iminus9)),
% 0.22/0.50 inference(transitivity,[status(thm)],[534, 522])).
% 0.22/0.50 tff(536,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iT = iminus9))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[535])).
% 0.22/0.50 tff(537,plain,
% 0.22/0.50 (~(iT = iminus9)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 536])).
% 0.22/0.50 tff(538,plain,
% 0.22/0.50 (((iT = iplus3) | (iT = iminus9) | (iT = iminus2)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(539,plain,
% 0.22/0.50 ((((iT = iplus3) | (iT = iminus9)) | (iT = iminus2)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(540,plain,
% 0.22/0.50 (((iT = iplus3) | (iT = iminus9)) <=> ((iT = iplus3) | (iT = iminus9))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(541,plain,
% 0.22/0.50 ((((iT = iplus3) | (iT = iminus9)) | (iT = iminus2)) <=> (((iT = iplus3) | (iT = iminus9)) | (iT = iminus2))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[540])).
% 0.22/0.50 tff(542,plain,
% 0.22/0.50 ((((iT = iplus3) | (iT = iminus9)) | (iT = iminus2)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iminus2))),
% 0.22/0.50 inference(transitivity,[status(thm)],[541, 539])).
% 0.22/0.50 tff(543,axiom,(((iT = iplus3) | (iT = iminus9)) | (iT = iminus2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_26')).
% 0.22/0.50 tff(544,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[543, 542])).
% 0.22/0.50 tff(545,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[544, 538])).
% 0.22/0.50 tff(546,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[545, 538])).
% 0.22/0.50 tff(547,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[546, 538])).
% 0.22/0.50 tff(548,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[547, 538])).
% 0.22/0.50 tff(549,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[548, 538])).
% 0.22/0.50 tff(550,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[549, 538])).
% 0.22/0.50 tff(551,plain,
% 0.22/0.50 ((iT = iplus3) | (iT = iminus9) | (iT = iminus2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[550, 538])).
% 0.22/0.50 tff(552,plain,
% 0.22/0.50 (iT = iplus3),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[551, 537, 38])).
% 0.22/0.50 tff(553,plain,
% 0.22/0.50 (iplus3 = iT),
% 0.22/0.50 inference(symmetry,[status(thm)],[552])).
% 0.22/0.50 tff(554,plain,
% 0.22/0.50 (iplus3 = iplus7),
% 0.22/0.50 inference(transitivity,[status(thm)],[553, 239])).
% 0.22/0.50 tff(555,plain,
% 0.22/0.50 ((iF = iplus3) <=> (iF = iplus7)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[554])).
% 0.22/0.50 tff(556,plain,
% 0.22/0.50 ((iF = iplus3) <=> (iplus7 = iF)),
% 0.22/0.50 inference(transitivity,[status(thm)],[555, 37])).
% 0.22/0.50 tff(557,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iF = iplus3)),
% 0.22/0.50 inference(symmetry,[status(thm)],[556])).
% 0.22/0.50 tff(558,plain,
% 0.22/0.50 ((iplus7 = iF) <=> (iplus5 = iplus3)),
% 0.22/0.50 inference(transitivity,[status(thm)],[557, 520])).
% 0.22/0.50 tff(559,plain,
% 0.22/0.50 ((~(iplus7 = iF)) <=> (~(iplus5 = iplus3))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[558])).
% 0.22/0.50 tff(560,plain,
% 0.22/0.50 (~(iplus5 = iplus3)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[295, 559])).
% 0.22/0.50 tff(561,plain,
% 0.22/0.50 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus3) | (X = iplus3))) <=> (cTorF(X) <=> ((X = iminus3) | (X = iplus3))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(562,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[561])).
% 0.22/0.50 tff(563,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(564,plain,
% 0.22/0.50 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus3) | (X = iminus3))) <=> (cTorF(X) <=> ((X = iminus3) | (X = iplus3))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(565,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iplus3) | (X = iminus3))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[564])).
% 0.22/0.50 tff(566,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus3) | (X = iminus3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.22/0.50 tff(567,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[566, 565])).
% 0.22/0.50 tff(568,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[567, 563])).
% 0.22/0.50 tff(569,plain,(
% 0.22/0.50 ![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(skolemize,[status(sab)],[568])).
% 0.22/0.50 tff(570,plain,
% 0.22/0.50 (![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[569, 562])).
% 0.22/0.50 tff(571,plain,
% 0.22/0.50 ((~![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))) | (cTorF(iplus5) <=> ((iplus5 = iminus3) | (iplus5 = iplus3)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(572,plain,
% 0.22/0.50 (cTorF(iplus5) <=> ((iplus5 = iminus3) | (iplus5 = iplus3))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[571, 570])).
% 0.22/0.50 tff(573,plain,
% 0.22/0.50 (((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | cTorF(iplus5)) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | cTorF(iplus5))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(574,plain,
% 0.22/0.50 ((cTorF(iplus5) <=> $true) <=> cTorF(iplus5)),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(575,plain,
% 0.22/0.50 (((iplus5 = iminus5) | $true) <=> $true),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(576,plain,
% 0.22/0.50 ((iplus5 = iplus5) <=> $true),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(577,plain,
% 0.22/0.50 (((iplus5 = iminus5) | (iplus5 = iplus5)) <=> ((iplus5 = iminus5) | $true)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[576])).
% 0.22/0.50 tff(578,plain,
% 0.22/0.50 (((iplus5 = iminus5) | (iplus5 = iplus5)) <=> $true),
% 0.22/0.50 inference(transitivity,[status(thm)],[577, 575])).
% 0.22/0.50 tff(579,plain,
% 0.22/0.50 ((cTorF(iplus5) <=> ((iplus5 = iminus5) | (iplus5 = iplus5))) <=> (cTorF(iplus5) <=> $true)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[578])).
% 0.22/0.50 tff(580,plain,
% 0.22/0.50 ((cTorF(iplus5) <=> ((iplus5 = iminus5) | (iplus5 = iplus5))) <=> cTorF(iplus5)),
% 0.22/0.50 inference(transitivity,[status(thm)],[579, 574])).
% 0.22/0.50 tff(581,plain,
% 0.22/0.50 (((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | (cTorF(iplus5) <=> ((iplus5 = iminus5) | (iplus5 = iplus5)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | cTorF(iplus5))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[580])).
% 0.22/0.50 tff(582,plain,
% 0.22/0.50 (((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | (cTorF(iplus5) <=> ((iplus5 = iminus5) | (iplus5 = iplus5)))) <=> ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | cTorF(iplus5))),
% 0.22/0.50 inference(transitivity,[status(thm)],[581, 573])).
% 0.22/0.50 tff(583,plain,
% 0.22/0.50 ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | (cTorF(iplus5) <=> ((iplus5 = iminus5) | (iplus5 = iplus5)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(584,plain,
% 0.22/0.50 ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | cTorF(iplus5)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[583, 582])).
% 0.22/0.50 tff(585,plain,
% 0.22/0.50 (cTorF(iplus5)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[584, 330])).
% 0.22/0.50 tff(586,plain,
% 0.22/0.50 ((~(cTorF(iplus5) <=> ((iplus5 = iminus3) | (iplus5 = iplus3)))) | (~cTorF(iplus5)) | ((iplus5 = iminus3) | (iplus5 = iplus3))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(587,plain,
% 0.22/0.50 ((~(cTorF(iplus5) <=> ((iplus5 = iminus3) | (iplus5 = iplus3)))) | ((iplus5 = iminus3) | (iplus5 = iplus3))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[586, 585])).
% 0.22/0.50 tff(588,plain,
% 0.22/0.50 ((iplus5 = iminus3) | (iplus5 = iplus3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[587, 572])).
% 0.22/0.50 tff(589,plain,
% 0.22/0.50 ((~((iplus5 = iminus3) | (iplus5 = iplus3))) | (iplus5 = iminus3) | (iplus5 = iplus3)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(590,plain,
% 0.22/0.50 ((iplus5 = iminus3) | (iplus5 = iplus3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[589, 588])).
% 0.22/0.50 tff(591,plain,
% 0.22/0.50 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[590, 560, 518])).
% 0.22/0.51 tff(592,plain,(iT = iminus2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(593,plain,
% 0.22/0.51 ((iT = iminus9) <=> (iminus2 = iminus9)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(594,plain,
% 0.22/0.51 ((iminus2 = iminus9) <=> (iT = iminus9)),
% 0.22/0.51 inference(symmetry,[status(thm)],[593])).
% 0.22/0.51 tff(595,plain,
% 0.22/0.51 ((~![X: $i] : (cTorF(X) <=> ((X = iminus2) | (X = iplus2)))) | (cTorF(iF) <=> ((iF = iminus2) | (iF = iplus2)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(596,plain,
% 0.22/0.51 (cTorF(iF) <=> ((iF = iminus2) | (iF = iplus2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[595, 255])).
% 0.22/0.51 tff(597,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus2) | (iF = iplus2)))) | (~cTorF(iF)) | ((iF = iminus2) | (iF = iplus2))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(598,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus2) | (iF = iplus2)))) | ((iF = iminus2) | (iF = iplus2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[597, 33])).
% 0.22/0.51 tff(599,plain,
% 0.22/0.51 ((iF = iminus2) | (iF = iplus2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[598, 596])).
% 0.22/0.51 tff(600,plain,
% 0.22/0.51 ((iF = iminus2) <=> (iminus2 = iF)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(601,plain,
% 0.22/0.51 ((iminus2 = iF) <=> (iF = iminus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[600])).
% 0.22/0.51 tff(602,plain,
% 0.22/0.51 ((iT = iF) <=> (iminus2 = iF)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(603,plain,
% 0.22/0.51 ((iT = iF) <=> (iF = iminus2)),
% 0.22/0.51 inference(transitivity,[status(thm)],[602, 601])).
% 0.22/0.51 tff(604,plain,
% 0.22/0.51 ((~(iT = iF)) <=> (~(iF = iminus2))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[603])).
% 0.22/0.51 tff(605,plain,
% 0.22/0.51 (~(iF = iminus2)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[79, 604])).
% 0.22/0.51 tff(606,plain,
% 0.22/0.51 ((~((iF = iminus2) | (iF = iplus2))) | (iF = iminus2) | (iF = iplus2)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(607,plain,
% 0.22/0.51 (iF = iplus2),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[606, 605, 599])).
% 0.22/0.51 tff(608,plain,
% 0.22/0.51 ((iplus2 = iplus9) <=> (iplus9 = iplus2)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(609,plain,
% 0.22/0.51 ((iF = iplus9) <=> (iplus2 = iplus9)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(610,plain,
% 0.22/0.51 ((iF = iplus9) <=> (iplus9 = iplus2)),
% 0.22/0.51 inference(transitivity,[status(thm)],[609, 608])).
% 0.22/0.51 tff(611,plain,
% 0.22/0.51 ((iplus9 = iplus2) <=> (iF = iplus9)),
% 0.22/0.51 inference(symmetry,[status(thm)],[610])).
% 0.22/0.51 tff(612,plain,
% 0.22/0.51 ((iT = iplus5) <=> (iminus2 = iplus5)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(613,plain,
% 0.22/0.51 ((iminus2 = iplus5) <=> (iT = iplus5)),
% 0.22/0.51 inference(symmetry,[status(thm)],[612])).
% 0.22/0.51 tff(614,plain,
% 0.22/0.51 ((iF = iminus5) <=> (iminus5 = iF)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(615,plain,
% 0.22/0.51 ((iminus5 = iF) <=> (iF = iminus5)),
% 0.22/0.51 inference(symmetry,[status(thm)],[614])).
% 0.22/0.51 tff(616,plain,
% 0.22/0.51 ((iminus5 = iF) <=> (iminus5 = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(617,plain,
% 0.22/0.51 ((iminus5 = iplus2) <=> (iminus5 = iF)),
% 0.22/0.51 inference(symmetry,[status(thm)],[616])).
% 0.22/0.51 tff(618,plain,
% 0.22/0.51 ((iT = iminus7) <=> (iminus2 = iminus7)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(619,plain,
% 0.22/0.51 ((iminus2 = iminus7) <=> (iT = iminus7)),
% 0.22/0.51 inference(symmetry,[status(thm)],[618])).
% 0.22/0.51 tff(620,plain,
% 0.22/0.51 ((iplus7 = iF) <=> (iF = iplus7)),
% 0.22/0.51 inference(symmetry,[status(thm)],[37])).
% 0.22/0.51 tff(621,plain,
% 0.22/0.51 ((iplus7 = iF) <=> (iplus7 = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(622,plain,
% 0.22/0.51 ((iplus7 = iplus2) <=> (iplus7 = iF)),
% 0.22/0.51 inference(symmetry,[status(thm)],[621])).
% 0.22/0.51 tff(623,plain,
% 0.22/0.51 ((iminus2 = iminus4) <=> (iminus4 = iminus2)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(624,plain,
% 0.22/0.51 ((iT = iminus4) <=> (iminus2 = iminus4)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(625,plain,
% 0.22/0.51 ((iT = iminus4) <=> (iminus4 = iminus2)),
% 0.22/0.51 inference(transitivity,[status(thm)],[624, 623])).
% 0.22/0.51 tff(626,plain,
% 0.22/0.51 ((iminus4 = iminus2) <=> (iT = iminus4)),
% 0.22/0.51 inference(symmetry,[status(thm)],[625])).
% 0.22/0.51 tff(627,plain,
% 0.22/0.51 ((iplus2 = iT) <=> (iT = iplus2)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(628,plain,
% 0.22/0.51 (iminus2 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[592])).
% 0.22/0.51 tff(629,plain,
% 0.22/0.51 ((iF = iplus4) <=> (iplus4 = iF)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(630,plain,
% 0.22/0.51 ((iplus4 = iF) <=> (iF = iplus4)),
% 0.22/0.51 inference(symmetry,[status(thm)],[629])).
% 0.22/0.51 tff(631,plain,
% 0.22/0.51 ((iplus4 = iF) <=> (iplus4 = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(632,plain,
% 0.22/0.51 ((iplus4 = iplus2) <=> (iplus4 = iF)),
% 0.22/0.51 inference(symmetry,[status(thm)],[631])).
% 0.22/0.51 tff(633,plain,
% 0.22/0.51 ((iF = iminus1) <=> (iminus1 = iF)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(634,plain,
% 0.22/0.51 ((iminus1 = iF) <=> (iF = iminus1)),
% 0.22/0.51 inference(symmetry,[status(thm)],[633])).
% 0.22/0.51 tff(635,plain,
% 0.22/0.51 ((iminus1 = iF) <=> (iminus1 = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(636,plain,
% 0.22/0.51 ((iminus1 = iplus2) <=> (iminus1 = iF)),
% 0.22/0.51 inference(symmetry,[status(thm)],[635])).
% 0.22/0.51 tff(637,assumption,(~(iT = iplus4)), introduced(assumption)).
% 0.22/0.51 tff(638,plain,
% 0.22/0.51 (iplus2 = iF),
% 0.22/0.51 inference(symmetry,[status(thm)],[607])).
% 0.22/0.51 tff(639,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iminus2 = iF)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592, 638])).
% 0.22/0.51 tff(640,plain,
% 0.22/0.51 ((iminus2 = iF) <=> (iT = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[639])).
% 0.22/0.51 tff(641,plain,
% 0.22/0.51 ((~(iminus2 = iF)) <=> (~(iT = iplus2))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[640])).
% 0.22/0.51 tff(642,plain,
% 0.22/0.51 ((~(iT = iF)) <=> (~(iminus2 = iF))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[602])).
% 0.22/0.51 tff(643,plain,
% 0.22/0.51 (~(iminus2 = iF)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[79, 642])).
% 0.22/0.51 tff(644,plain,
% 0.22/0.51 (~(iT = iplus2)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[643, 641])).
% 0.22/0.51 tff(645,plain,
% 0.22/0.51 (((iT = iplus2) | (iT = iplus4) | (iT = iminus1)) <=> ((iT = iplus2) | (iT = iplus4) | (iT = iminus1))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(646,plain,
% 0.22/0.51 ((((iT = iplus2) | (iT = iplus4)) | (iT = iminus1)) <=> ((iT = iplus2) | (iT = iplus4) | (iT = iminus1))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(647,axiom,(((iT = iplus2) | (iT = iplus4)) | (iT = iminus1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_37')).
% 0.22/0.51 tff(648,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[647, 646])).
% 0.22/0.51 tff(649,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[648, 645])).
% 0.22/0.51 tff(650,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[649, 645])).
% 0.22/0.51 tff(651,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[650, 645])).
% 0.22/0.51 tff(652,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[651, 645])).
% 0.22/0.51 tff(653,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[652, 645])).
% 0.22/0.51 tff(654,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[653, 645])).
% 0.22/0.51 tff(655,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[654, 645])).
% 0.22/0.51 tff(656,plain,
% 0.22/0.51 ((iT = iplus4) | (iT = iminus1)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[655, 644])).
% 0.22/0.51 tff(657,plain,
% 0.22/0.51 (iT = iminus1),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[656, 637])).
% 0.22/0.51 tff(658,plain,
% 0.22/0.51 (iminus1 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[657])).
% 0.22/0.51 tff(659,plain,
% 0.22/0.51 ((iminus1 = iplus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[658])).
% 0.22/0.51 tff(660,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iminus1 = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[659])).
% 0.22/0.51 tff(661,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iF = iminus1)),
% 0.22/0.51 inference(transitivity,[status(thm)],[660, 636, 634])).
% 0.22/0.51 tff(662,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iF = iminus1))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[661])).
% 0.22/0.51 tff(663,plain,
% 0.22/0.51 (~(iF = iminus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 662])).
% 0.22/0.51 tff(664,plain,
% 0.22/0.51 ((iF = iplus1) <=> (iplus1 = iF)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(665,plain,
% 0.22/0.51 ((iplus1 = iF) <=> (iF = iplus1)),
% 0.22/0.51 inference(symmetry,[status(thm)],[664])).
% 0.22/0.51 tff(666,plain,
% 0.22/0.51 ((iplus1 = iF) <=> (iplus1 = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(667,plain,
% 0.22/0.51 ((iplus1 = iplus2) <=> (iplus1 = iF)),
% 0.22/0.51 inference(symmetry,[status(thm)],[666])).
% 0.22/0.51 tff(668,plain,
% 0.22/0.51 (((iT = iplus1) | (iT = iplus7) | (iT = iplus4)) <=> ((iT = iplus1) | (iT = iplus7) | (iT = iplus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(669,plain,
% 0.22/0.51 ((((iT = iplus1) | (iT = iplus7)) | (iT = iplus4)) <=> ((iT = iplus1) | (iT = iplus7) | (iT = iplus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(670,axiom,(((iT = iplus1) | (iT = iplus7)) | (iT = iplus4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_23')).
% 0.22/0.51 tff(671,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[670, 669])).
% 0.22/0.51 tff(672,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[671, 668])).
% 0.22/0.51 tff(673,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[672, 668])).
% 0.22/0.51 tff(674,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[673, 668])).
% 0.22/0.51 tff(675,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[674, 668])).
% 0.22/0.51 tff(676,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[675, 668])).
% 0.22/0.51 tff(677,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[676, 668])).
% 0.22/0.51 tff(678,plain,
% 0.22/0.51 ((iT = iplus1) | (iT = iplus7) | (iT = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[677, 668])).
% 0.22/0.51 tff(679,plain,
% 0.22/0.51 (iT = iplus1),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[678, 637, 40])).
% 0.22/0.51 tff(680,plain,
% 0.22/0.51 (iplus1 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[679])).
% 0.22/0.51 tff(681,plain,
% 0.22/0.51 ((iplus1 = iplus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[680])).
% 0.22/0.51 tff(682,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iplus1 = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[681])).
% 0.22/0.51 tff(683,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iF = iplus1)),
% 0.22/0.51 inference(transitivity,[status(thm)],[682, 667, 665])).
% 0.22/0.51 tff(684,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iF = iplus1))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[683])).
% 0.22/0.51 tff(685,plain,
% 0.22/0.51 (~(iF = iplus1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 684])).
% 0.22/0.51 tff(686,plain,
% 0.22/0.51 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus1) | (X = iplus1))) <=> (cTorF(X) <=> ((X = iminus1) | (X = iplus1))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(687,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[686])).
% 0.22/0.51 tff(688,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(689,plain,
% 0.22/0.51 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus1) | (X = iminus1))) <=> (cTorF(X) <=> ((X = iminus1) | (X = iplus1))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(690,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iplus1) | (X = iminus1))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[689])).
% 0.22/0.51 tff(691,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus1) | (X = iminus1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.22/0.51 tff(692,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[691, 690])).
% 0.22/0.51 tff(693,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[692, 688])).
% 0.22/0.51 tff(694,plain,(
% 0.22/0.51 ![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(skolemize,[status(sab)],[693])).
% 0.22/0.51 tff(695,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[694, 687])).
% 0.22/0.51 tff(696,plain,
% 0.22/0.51 ((~![X: $i] : (cTorF(X) <=> ((X = iminus1) | (X = iplus1)))) | (cTorF(iF) <=> ((iF = iminus1) | (iF = iplus1)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(697,plain,
% 0.22/0.51 (cTorF(iF) <=> ((iF = iminus1) | (iF = iplus1))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[696, 695])).
% 0.22/0.51 tff(698,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus1) | (iF = iplus1)))) | (~cTorF(iF)) | ((iF = iminus1) | (iF = iplus1))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(699,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus1) | (iF = iplus1)))) | ((iF = iminus1) | (iF = iplus1))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[698, 33])).
% 0.22/0.51 tff(700,plain,
% 0.22/0.51 ((iF = iminus1) | (iF = iplus1)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[699, 697])).
% 0.22/0.51 tff(701,plain,
% 0.22/0.51 ((~((iF = iminus1) | (iF = iplus1))) | (iF = iminus1) | (iF = iplus1)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(702,plain,
% 0.22/0.51 ((iF = iminus1) | (iF = iplus1)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[701, 700])).
% 0.22/0.51 tff(703,plain,
% 0.22/0.51 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[702, 685, 663])).
% 0.22/0.51 tff(704,plain,((iT = iplus4) | (iT = iplus7)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(705,plain,
% 0.22/0.51 (iT = iplus4),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[704, 40])).
% 0.22/0.51 tff(706,plain,
% 0.22/0.51 (iplus4 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[705])).
% 0.22/0.51 tff(707,plain,
% 0.22/0.51 ((iplus4 = iplus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[706])).
% 0.22/0.51 tff(708,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iplus4 = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[707])).
% 0.22/0.51 tff(709,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iF = iplus4)),
% 0.22/0.51 inference(transitivity,[status(thm)],[708, 632, 630])).
% 0.22/0.51 tff(710,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iF = iplus4))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[709])).
% 0.22/0.51 tff(711,plain,
% 0.22/0.51 (~(iF = iplus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 710])).
% 0.22/0.51 tff(712,plain,
% 0.22/0.51 ((iF = iminus4) | (iF = iplus4)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[161, 94])).
% 0.22/0.51 tff(713,plain,
% 0.22/0.51 (iF = iminus4),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[712, 711])).
% 0.22/0.51 tff(714,plain,
% 0.22/0.51 (iminus4 = iF),
% 0.22/0.51 inference(symmetry,[status(thm)],[713])).
% 0.22/0.51 tff(715,plain,
% 0.22/0.51 (iminus4 = iplus2),
% 0.22/0.51 inference(transitivity,[status(thm)],[714, 607])).
% 0.22/0.51 tff(716,plain,
% 0.22/0.51 ((iminus4 = iminus2) <=> (iplus2 = iT)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[715, 628])).
% 0.22/0.51 tff(717,plain,
% 0.22/0.51 ((iminus4 = iminus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(transitivity,[status(thm)],[716, 627])).
% 0.22/0.51 tff(718,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iminus4 = iminus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[717])).
% 0.22/0.51 tff(719,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iT = iminus4)),
% 0.22/0.51 inference(transitivity,[status(thm)],[718, 626])).
% 0.22/0.51 tff(720,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iT = iminus4))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[719])).
% 0.22/0.51 tff(721,plain,
% 0.22/0.51 (~(iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 720])).
% 0.22/0.51 tff(722,plain,
% 0.22/0.51 (iT = iplus9),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[153, 721, 40])).
% 0.22/0.51 tff(723,plain,
% 0.22/0.51 (iplus9 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[722])).
% 0.22/0.51 tff(724,plain,
% 0.22/0.51 ((iplus9 = iplus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[723])).
% 0.22/0.51 tff(725,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iplus9 = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[724])).
% 0.22/0.51 tff(726,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iF = iplus9)),
% 0.22/0.51 inference(transitivity,[status(thm)],[725, 611])).
% 0.22/0.51 tff(727,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iF = iplus9))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[726])).
% 0.22/0.51 tff(728,plain,
% 0.22/0.51 (~(iF = iplus9)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 727])).
% 0.22/0.51 tff(729,plain,
% 0.22/0.51 ((iF = iminus9) | (iF = iplus9)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[81, 72])).
% 0.22/0.51 tff(730,plain,
% 0.22/0.51 (iF = iminus9),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[729, 728])).
% 0.22/0.51 tff(731,plain,
% 0.22/0.51 (iminus9 = iF),
% 0.22/0.51 inference(symmetry,[status(thm)],[730])).
% 0.22/0.51 tff(732,plain,
% 0.22/0.51 (iminus9 = iplus2),
% 0.22/0.51 inference(transitivity,[status(thm)],[731, 607])).
% 0.22/0.51 tff(733,plain,
% 0.22/0.51 ((iminus2 = iminus9) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[628, 732])).
% 0.22/0.51 tff(734,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iminus2 = iminus9)),
% 0.22/0.51 inference(symmetry,[status(thm)],[733])).
% 0.22/0.51 tff(735,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iT = iminus9)),
% 0.22/0.51 inference(transitivity,[status(thm)],[734, 594])).
% 0.22/0.51 tff(736,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iT = iminus9))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[735])).
% 0.22/0.51 tff(737,plain,
% 0.22/0.51 (~(iT = iminus9)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 736])).
% 0.22/0.51 tff(738,plain,
% 0.22/0.51 ((iT = iminus8) <=> (iminus2 = iminus8)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.51 tff(739,plain,
% 0.22/0.51 ((iminus2 = iminus8) <=> (iT = iminus8)),
% 0.22/0.51 inference(symmetry,[status(thm)],[738])).
% 0.22/0.51 tff(740,plain,
% 0.22/0.51 ((iplus2 = iplus8) <=> (iplus8 = iplus2)),
% 0.22/0.51 inference(commutativity,[status(thm)],[])).
% 0.22/0.51 tff(741,plain,
% 0.22/0.51 ((iF = iplus8) <=> (iplus2 = iplus8)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.51 tff(742,plain,
% 0.22/0.51 ((iF = iplus8) <=> (iplus8 = iplus2)),
% 0.22/0.51 inference(transitivity,[status(thm)],[741, 740])).
% 0.22/0.51 tff(743,plain,
% 0.22/0.51 ((iplus8 = iplus2) <=> (iF = iplus8)),
% 0.22/0.51 inference(symmetry,[status(thm)],[742])).
% 0.22/0.51 tff(744,plain,
% 0.22/0.51 (((iT = iplus2) | (iT = iplus8) | (iT = iminus4)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(745,plain,
% 0.22/0.51 ((((iT = iplus2) | (iT = iplus8)) | (iT = iminus4)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(746,plain,
% 0.22/0.51 (((iT = iplus8) | (iT = iplus2)) <=> ((iT = iplus2) | (iT = iplus8))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(747,plain,
% 0.22/0.51 ((((iT = iplus8) | (iT = iplus2)) | (iT = iminus4)) <=> (((iT = iplus2) | (iT = iplus8)) | (iT = iminus4))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[746])).
% 0.22/0.51 tff(748,plain,
% 0.22/0.51 ((((iT = iplus8) | (iT = iplus2)) | (iT = iminus4)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus4))),
% 0.22/0.51 inference(transitivity,[status(thm)],[747, 745])).
% 0.22/0.51 tff(749,axiom,(((iT = iplus8) | (iT = iplus2)) | (iT = iminus4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_31')).
% 0.22/0.51 tff(750,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[749, 748])).
% 0.22/0.51 tff(751,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[750, 744])).
% 0.22/0.51 tff(752,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[751, 744])).
% 0.22/0.51 tff(753,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[752, 744])).
% 0.22/0.51 tff(754,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[753, 744])).
% 0.22/0.51 tff(755,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[754, 744])).
% 0.22/0.51 tff(756,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[755, 744])).
% 0.22/0.51 tff(757,plain,
% 0.22/0.51 ((iT = iplus2) | (iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[756, 744])).
% 0.22/0.51 tff(758,plain,
% 0.22/0.51 ((iT = iplus8) | (iT = iminus4)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[757, 644])).
% 0.22/0.51 tff(759,plain,
% 0.22/0.51 (iT = iplus8),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[758, 721])).
% 0.22/0.51 tff(760,plain,
% 0.22/0.51 (iplus8 = iT),
% 0.22/0.51 inference(symmetry,[status(thm)],[759])).
% 0.22/0.51 tff(761,plain,
% 0.22/0.51 ((iplus8 = iplus2) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[760])).
% 0.22/0.51 tff(762,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iplus8 = iplus2)),
% 0.22/0.51 inference(symmetry,[status(thm)],[761])).
% 0.22/0.51 tff(763,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iF = iplus8)),
% 0.22/0.51 inference(transitivity,[status(thm)],[762, 743])).
% 0.22/0.51 tff(764,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iF = iplus8))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[763])).
% 0.22/0.51 tff(765,plain,
% 0.22/0.51 (~(iF = iplus8)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 764])).
% 0.22/0.51 tff(766,plain,
% 0.22/0.51 (^[X: $i] : refl((cTorF(X) <=> ((X = iminus8) | (X = iplus8))) <=> (cTorF(X) <=> ((X = iminus8) | (X = iplus8))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(767,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[766])).
% 0.22/0.51 tff(768,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(769,plain,
% 0.22/0.51 (^[X: $i] : rewrite((cTorF(X) <=> ((X = iplus8) | (X = iminus8))) <=> (cTorF(X) <=> ((X = iminus8) | (X = iplus8))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(770,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iplus8) | (X = iminus8))) <=> ![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[769])).
% 0.22/0.51 tff(771,axiom,(![X: $i] : (cTorF(X) <=> ((X = iplus8) | (X = iminus8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_9')).
% 0.22/0.51 tff(772,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[771, 770])).
% 0.22/0.51 tff(773,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[772, 768])).
% 0.22/0.51 tff(774,plain,(
% 0.22/0.51 ![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(skolemize,[status(sab)],[773])).
% 0.22/0.51 tff(775,plain,
% 0.22/0.51 (![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[774, 767])).
% 0.22/0.51 tff(776,plain,
% 0.22/0.51 ((~![X: $i] : (cTorF(X) <=> ((X = iminus8) | (X = iplus8)))) | (cTorF(iF) <=> ((iF = iminus8) | (iF = iplus8)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(777,plain,
% 0.22/0.51 (cTorF(iF) <=> ((iF = iminus8) | (iF = iplus8))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[776, 775])).
% 0.22/0.51 tff(778,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus8) | (iF = iplus8)))) | (~cTorF(iF)) | ((iF = iminus8) | (iF = iplus8))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(779,plain,
% 0.22/0.51 ((~(cTorF(iF) <=> ((iF = iminus8) | (iF = iplus8)))) | ((iF = iminus8) | (iF = iplus8))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[778, 33])).
% 0.22/0.51 tff(780,plain,
% 0.22/0.51 ((iF = iminus8) | (iF = iplus8)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[779, 777])).
% 0.22/0.51 tff(781,plain,
% 0.22/0.51 ((~((iF = iminus8) | (iF = iplus8))) | (iF = iminus8) | (iF = iplus8)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(782,plain,
% 0.22/0.51 ((iF = iminus8) | (iF = iplus8)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[781, 780])).
% 0.22/0.51 tff(783,plain,
% 0.22/0.51 (iF = iminus8),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[782, 765])).
% 0.22/0.51 tff(784,plain,
% 0.22/0.51 (iminus8 = iF),
% 0.22/0.51 inference(symmetry,[status(thm)],[783])).
% 0.22/0.51 tff(785,plain,
% 0.22/0.51 (iminus8 = iplus2),
% 0.22/0.51 inference(transitivity,[status(thm)],[784, 607])).
% 0.22/0.51 tff(786,plain,
% 0.22/0.51 ((iminus2 = iminus8) <=> (iT = iplus2)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[628, 785])).
% 0.22/0.51 tff(787,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iminus2 = iminus8)),
% 0.22/0.51 inference(symmetry,[status(thm)],[786])).
% 0.22/0.51 tff(788,plain,
% 0.22/0.51 ((iT = iplus2) <=> (iT = iminus8)),
% 0.22/0.51 inference(transitivity,[status(thm)],[787, 739])).
% 0.22/0.51 tff(789,plain,
% 0.22/0.51 ((~(iT = iplus2)) <=> (~(iT = iminus8))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[788])).
% 0.22/0.51 tff(790,plain,
% 0.22/0.51 (~(iT = iminus8)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[644, 789])).
% 0.22/0.51 tff(791,plain,
% 0.22/0.51 (((iT = iminus9) | (iT = iminus8) | (iT = iminus4)) <=> ((iT = iminus9) | (iT = iminus8) | (iT = iminus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(792,plain,
% 0.22/0.51 ((((iT = iminus8) | (iT = iminus9)) | (iT = iminus4)) <=> ((iT = iminus9) | (iT = iminus8) | (iT = iminus4))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(793,axiom,(((iT = iminus8) | (iT = iminus9)) | (iT = iminus4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_40')).
% 0.22/0.51 tff(794,plain,
% 0.22/0.51 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[793, 792])).
% 0.22/0.51 tff(795,plain,
% 0.22/0.51 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[794, 791])).
% 0.22/0.51 tff(796,plain,
% 0.22/0.51 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[795, 791])).
% 0.22/0.51 tff(797,plain,
% 0.22/0.51 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[796, 791])).
% 0.22/0.51 tff(798,plain,
% 0.22/0.51 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[797, 791])).
% 0.22/0.52 tff(799,plain,
% 0.22/0.52 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[798, 791])).
% 0.22/0.52 tff(800,plain,
% 0.22/0.52 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[799, 791])).
% 0.22/0.52 tff(801,plain,
% 0.22/0.52 ((iT = iminus9) | (iT = iminus8) | (iT = iminus4)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[800, 791])).
% 0.22/0.52 tff(802,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[801, 790, 737, 721])).
% 0.22/0.52 tff(803,plain,(iT = iplus7), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(804,plain,
% 0.22/0.52 (iplus7 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[803])).
% 0.22/0.52 tff(805,plain,
% 0.22/0.52 ((iplus7 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[804])).
% 0.22/0.52 tff(806,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iplus7 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[805])).
% 0.22/0.52 tff(807,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iplus7)),
% 0.22/0.52 inference(transitivity,[status(thm)],[806, 622, 620])).
% 0.22/0.52 tff(808,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iplus7))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[807])).
% 0.22/0.52 tff(809,plain,
% 0.22/0.52 (~(iF = iplus7)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 808])).
% 0.22/0.52 tff(810,plain,
% 0.22/0.52 ((~![X: $i] : (cTorF(X) <=> ((X = iminus7) | (X = iplus7)))) | (cTorF(iF) <=> ((iF = iminus7) | (iF = iplus7)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(811,plain,
% 0.22/0.52 (cTorF(iF) <=> ((iF = iminus7) | (iF = iplus7))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[810, 117])).
% 0.22/0.52 tff(812,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus7) | (iF = iplus7)))) | (~cTorF(iF)) | ((iF = iminus7) | (iF = iplus7))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(813,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus7) | (iF = iplus7)))) | ((iF = iminus7) | (iF = iplus7))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[812, 33])).
% 0.22/0.52 tff(814,plain,
% 0.22/0.52 ((iF = iminus7) | (iF = iplus7)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[813, 811])).
% 0.22/0.52 tff(815,plain,
% 0.22/0.52 ((~((iF = iminus7) | (iF = iplus7))) | (iF = iminus7) | (iF = iplus7)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(816,plain,
% 0.22/0.52 ((iF = iminus7) | (iF = iplus7)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[815, 814])).
% 0.22/0.52 tff(817,plain,
% 0.22/0.52 (iF = iminus7),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[816, 809])).
% 0.22/0.52 tff(818,plain,
% 0.22/0.52 (iminus7 = iF),
% 0.22/0.52 inference(symmetry,[status(thm)],[817])).
% 0.22/0.52 tff(819,plain,
% 0.22/0.52 (iminus7 = iplus2),
% 0.22/0.52 inference(transitivity,[status(thm)],[818, 607])).
% 0.22/0.52 tff(820,plain,
% 0.22/0.52 ((iminus2 = iminus7) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[628, 819])).
% 0.22/0.52 tff(821,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus2 = iminus7)),
% 0.22/0.52 inference(symmetry,[status(thm)],[820])).
% 0.22/0.52 tff(822,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iT = iminus7)),
% 0.22/0.52 inference(transitivity,[status(thm)],[821, 619])).
% 0.22/0.52 tff(823,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iT = iminus7))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[822])).
% 0.22/0.52 tff(824,plain,
% 0.22/0.52 (~(iT = iminus7)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 823])).
% 0.22/0.52 tff(825,plain,
% 0.22/0.52 (((iT = iplus2) | (iT = iminus7) | (iT = iminus5)) <=> ((iT = iplus2) | (iT = iminus7) | (iT = iminus5))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(826,plain,
% 0.22/0.52 ((((iT = iminus5) | (iT = iplus2)) | (iT = iminus7)) <=> ((iT = iplus2) | (iT = iminus7) | (iT = iminus5))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(827,axiom,(((iT = iminus5) | (iT = iplus2)) | (iT = iminus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_50')).
% 0.22/0.52 tff(828,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[827, 826])).
% 0.22/0.52 tff(829,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[828, 825])).
% 0.22/0.52 tff(830,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[829, 825])).
% 0.22/0.52 tff(831,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[830, 825])).
% 0.22/0.52 tff(832,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[831, 825])).
% 0.22/0.52 tff(833,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[832, 825])).
% 0.22/0.52 tff(834,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[833, 825])).
% 0.22/0.52 tff(835,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[834, 825])).
% 0.22/0.52 tff(836,plain,
% 0.22/0.52 ((iT = iminus7) | (iT = iminus5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[835, 644])).
% 0.22/0.52 tff(837,plain,
% 0.22/0.52 (iT = iminus5),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[836, 824])).
% 0.22/0.52 tff(838,plain,
% 0.22/0.52 (iminus5 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[837])).
% 0.22/0.52 tff(839,plain,
% 0.22/0.52 ((iminus5 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[838])).
% 0.22/0.52 tff(840,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus5 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[839])).
% 0.22/0.52 tff(841,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iminus5)),
% 0.22/0.52 inference(transitivity,[status(thm)],[840, 617, 615])).
% 0.22/0.52 tff(842,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iminus5))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[841])).
% 0.22/0.52 tff(843,plain,
% 0.22/0.52 (~(iF = iminus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 842])).
% 0.22/0.52 tff(844,plain,
% 0.22/0.52 ((~![X: $i] : (cTorF(X) <=> ((X = iminus5) | (X = iplus5)))) | (cTorF(iF) <=> ((iF = iminus5) | (iF = iplus5)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(845,plain,
% 0.22/0.52 (cTorF(iF) <=> ((iF = iminus5) | (iF = iplus5))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[844, 330])).
% 0.22/0.52 tff(846,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus5) | (iF = iplus5)))) | (~cTorF(iF)) | ((iF = iminus5) | (iF = iplus5))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(847,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus5) | (iF = iplus5)))) | ((iF = iminus5) | (iF = iplus5))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[846, 33])).
% 0.22/0.52 tff(848,plain,
% 0.22/0.52 ((iF = iminus5) | (iF = iplus5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[847, 845])).
% 0.22/0.52 tff(849,plain,
% 0.22/0.52 ((~((iF = iminus5) | (iF = iplus5))) | (iF = iminus5) | (iF = iplus5)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(850,plain,
% 0.22/0.52 ((iF = iminus5) | (iF = iplus5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[849, 848])).
% 0.22/0.52 tff(851,plain,
% 0.22/0.52 (iF = iplus5),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[850, 843])).
% 0.22/0.52 tff(852,plain,
% 0.22/0.52 (iplus5 = iF),
% 0.22/0.52 inference(symmetry,[status(thm)],[851])).
% 0.22/0.52 tff(853,plain,
% 0.22/0.52 (iplus5 = iplus2),
% 0.22/0.52 inference(transitivity,[status(thm)],[852, 607])).
% 0.22/0.52 tff(854,plain,
% 0.22/0.52 ((iminus2 = iplus5) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[628, 853])).
% 0.22/0.52 tff(855,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus2 = iplus5)),
% 0.22/0.52 inference(symmetry,[status(thm)],[854])).
% 0.22/0.52 tff(856,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iT = iplus5)),
% 0.22/0.52 inference(transitivity,[status(thm)],[855, 613])).
% 0.22/0.52 tff(857,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iT = iplus5))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[856])).
% 0.22/0.52 tff(858,plain,
% 0.22/0.52 (~(iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 857])).
% 0.22/0.52 tff(859,plain,
% 0.22/0.52 (((iT = iplus2) | (iT = iplus9) | (iT = iplus5)) <=> ((iT = iplus2) | (iT = iplus9) | (iT = iplus5))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(860,plain,
% 0.22/0.52 ((((iT = iplus2) | (iT = iplus5)) | (iT = iplus9)) <=> ((iT = iplus2) | (iT = iplus9) | (iT = iplus5))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(861,plain,
% 0.22/0.52 (((iT = iplus5) | (iT = iplus2)) <=> ((iT = iplus2) | (iT = iplus5))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(862,plain,
% 0.22/0.52 ((((iT = iplus5) | (iT = iplus2)) | (iT = iplus9)) <=> (((iT = iplus2) | (iT = iplus5)) | (iT = iplus9))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[861])).
% 0.22/0.52 tff(863,plain,
% 0.22/0.52 ((((iT = iplus5) | (iT = iplus2)) | (iT = iplus9)) <=> ((iT = iplus2) | (iT = iplus9) | (iT = iplus5))),
% 0.22/0.52 inference(transitivity,[status(thm)],[862, 860])).
% 0.22/0.52 tff(864,axiom,(((iT = iplus5) | (iT = iplus2)) | (iT = iplus9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_55')).
% 0.22/0.52 tff(865,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[864, 863])).
% 0.22/0.52 tff(866,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[865, 859])).
% 0.22/0.52 tff(867,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[866, 859])).
% 0.22/0.52 tff(868,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[867, 859])).
% 0.22/0.52 tff(869,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[868, 859])).
% 0.22/0.52 tff(870,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[869, 859])).
% 0.22/0.52 tff(871,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[870, 859])).
% 0.22/0.52 tff(872,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[871, 859])).
% 0.22/0.52 tff(873,plain,
% 0.22/0.52 ((iT = iplus9) | (iT = iplus5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[872, 644])).
% 0.22/0.52 tff(874,plain,
% 0.22/0.52 (iT = iplus9),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[873, 858])).
% 0.22/0.52 tff(875,plain,
% 0.22/0.52 (iplus9 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[874])).
% 0.22/0.52 tff(876,plain,
% 0.22/0.52 ((iplus9 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[875])).
% 0.22/0.52 tff(877,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iplus9 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[876])).
% 0.22/0.52 tff(878,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iplus9)),
% 0.22/0.52 inference(transitivity,[status(thm)],[877, 611])).
% 0.22/0.52 tff(879,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iplus9))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[878])).
% 0.22/0.52 tff(880,plain,
% 0.22/0.52 (~(iF = iplus9)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 879])).
% 0.22/0.52 tff(881,plain,
% 0.22/0.52 (iF = iminus9),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[729, 880])).
% 0.22/0.52 tff(882,plain,
% 0.22/0.52 (iminus9 = iF),
% 0.22/0.52 inference(symmetry,[status(thm)],[881])).
% 0.22/0.52 tff(883,plain,
% 0.22/0.52 (iminus9 = iplus2),
% 0.22/0.52 inference(transitivity,[status(thm)],[882, 607])).
% 0.22/0.52 tff(884,plain,
% 0.22/0.52 ((iminus2 = iminus9) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[628, 883])).
% 0.22/0.52 tff(885,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus2 = iminus9)),
% 0.22/0.52 inference(symmetry,[status(thm)],[884])).
% 0.22/0.52 tff(886,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iT = iminus9)),
% 0.22/0.52 inference(transitivity,[status(thm)],[885, 594])).
% 0.22/0.52 tff(887,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iT = iminus9))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[886])).
% 0.22/0.52 tff(888,plain,
% 0.22/0.52 (~(iT = iminus9)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 887])).
% 0.22/0.52 tff(889,plain,
% 0.22/0.52 ((iT = iplus3) <=> (iminus2 = iplus3)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[592])).
% 0.22/0.52 tff(890,plain,
% 0.22/0.52 ((iminus2 = iplus3) <=> (iT = iplus3)),
% 0.22/0.52 inference(symmetry,[status(thm)],[889])).
% 0.22/0.52 tff(891,plain,
% 0.22/0.52 ((iminus3 = iF) <=> (iF = iminus3)),
% 0.22/0.52 inference(symmetry,[status(thm)],[1])).
% 0.22/0.52 tff(892,plain,
% 0.22/0.52 ((iminus3 = iF) <=> (iminus3 = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.52 tff(893,plain,
% 0.22/0.52 ((iminus3 = iplus2) <=> (iminus3 = iF)),
% 0.22/0.52 inference(symmetry,[status(thm)],[892])).
% 0.22/0.52 tff(894,plain,
% 0.22/0.52 ((iF = iminus8) <=> (iminus8 = iF)),
% 0.22/0.52 inference(commutativity,[status(thm)],[])).
% 0.22/0.52 tff(895,plain,
% 0.22/0.52 ((iminus8 = iF) <=> (iF = iminus8)),
% 0.22/0.52 inference(symmetry,[status(thm)],[894])).
% 0.22/0.52 tff(896,plain,
% 0.22/0.52 ((iminus8 = iF) <=> (iminus8 = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[607])).
% 0.22/0.52 tff(897,plain,
% 0.22/0.52 ((iminus8 = iplus2) <=> (iminus8 = iF)),
% 0.22/0.52 inference(symmetry,[status(thm)],[896])).
% 0.22/0.52 tff(898,assumption,(~(iT = iminus3)), introduced(assumption)).
% 0.22/0.52 tff(899,plain,
% 0.22/0.52 (((iT = iminus3) | (iT = iplus5) | (iT = iminus8)) <=> ((iT = iminus3) | (iT = iplus5) | (iT = iminus8))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(900,plain,
% 0.22/0.52 ((((iT = iplus5) | (iT = iminus8)) | (iT = iminus3)) <=> ((iT = iminus3) | (iT = iplus5) | (iT = iminus8))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(901,plain,
% 0.22/0.52 (((iT = iplus5) | (iT = iminus8)) <=> ((iT = iplus5) | (iT = iminus8))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(902,plain,
% 0.22/0.52 ((((iT = iplus5) | (iT = iminus8)) | (iT = iminus3)) <=> (((iT = iplus5) | (iT = iminus8)) | (iT = iminus3))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[901])).
% 0.22/0.52 tff(903,plain,
% 0.22/0.52 ((((iT = iplus5) | (iT = iminus8)) | (iT = iminus3)) <=> ((iT = iminus3) | (iT = iplus5) | (iT = iminus8))),
% 0.22/0.52 inference(transitivity,[status(thm)],[902, 900])).
% 0.22/0.52 tff(904,axiom,(((iT = iplus5) | (iT = iminus8)) | (iT = iminus3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_49')).
% 0.22/0.52 tff(905,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[904, 903])).
% 0.22/0.52 tff(906,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[905, 899])).
% 0.22/0.52 tff(907,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[906, 899])).
% 0.22/0.52 tff(908,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[907, 899])).
% 0.22/0.52 tff(909,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[908, 899])).
% 0.22/0.52 tff(910,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[909, 899])).
% 0.22/0.52 tff(911,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[910, 899])).
% 0.22/0.52 tff(912,plain,
% 0.22/0.52 ((iT = iminus3) | (iT = iplus5) | (iT = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[911, 899])).
% 0.22/0.52 tff(913,plain,
% 0.22/0.52 (iT = iminus8),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[912, 898, 858])).
% 0.22/0.52 tff(914,plain,
% 0.22/0.52 (iminus8 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[913])).
% 0.22/0.52 tff(915,plain,
% 0.22/0.52 ((iminus8 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[914])).
% 0.22/0.52 tff(916,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus8 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[915])).
% 0.22/0.52 tff(917,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iminus8)),
% 0.22/0.52 inference(transitivity,[status(thm)],[916, 897, 895])).
% 0.22/0.52 tff(918,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iminus8))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[917])).
% 0.22/0.52 tff(919,plain,
% 0.22/0.52 (~(iF = iminus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 918])).
% 0.22/0.52 tff(920,plain,
% 0.22/0.52 (((iT = iplus2) | (iT = iplus8) | (iT = iminus3)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus3))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(921,plain,
% 0.22/0.52 ((((iT = iplus2) | (iT = iplus8)) | (iT = iminus3)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus3))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(922,plain,
% 0.22/0.52 ((((iT = iplus8) | (iT = iplus2)) | (iT = iminus3)) <=> (((iT = iplus2) | (iT = iplus8)) | (iT = iminus3))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[746])).
% 0.22/0.52 tff(923,plain,
% 0.22/0.52 ((((iT = iplus8) | (iT = iplus2)) | (iT = iminus3)) <=> ((iT = iplus2) | (iT = iplus8) | (iT = iminus3))),
% 0.22/0.52 inference(transitivity,[status(thm)],[922, 921])).
% 0.22/0.52 tff(924,axiom,(((iT = iplus8) | (iT = iplus2)) | (iT = iminus3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_42')).
% 0.22/0.52 tff(925,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[924, 923])).
% 0.22/0.52 tff(926,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[925, 920])).
% 0.22/0.52 tff(927,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[926, 920])).
% 0.22/0.52 tff(928,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[927, 920])).
% 0.22/0.52 tff(929,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[928, 920])).
% 0.22/0.52 tff(930,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[929, 920])).
% 0.22/0.52 tff(931,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[930, 920])).
% 0.22/0.52 tff(932,plain,
% 0.22/0.52 ((iT = iplus2) | (iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[931, 920])).
% 0.22/0.52 tff(933,plain,
% 0.22/0.52 ((iT = iplus8) | (iT = iminus3)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[932, 644])).
% 0.22/0.52 tff(934,plain,
% 0.22/0.52 (iT = iplus8),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[933, 898])).
% 0.22/0.52 tff(935,plain,
% 0.22/0.52 (iplus8 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[934])).
% 0.22/0.52 tff(936,plain,
% 0.22/0.52 ((iplus8 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[935])).
% 0.22/0.52 tff(937,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iplus8 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[936])).
% 0.22/0.52 tff(938,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iplus8)),
% 0.22/0.52 inference(transitivity,[status(thm)],[937, 743])).
% 0.22/0.52 tff(939,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iplus8))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[938])).
% 0.22/0.52 tff(940,plain,
% 0.22/0.52 (~(iF = iplus8)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 939])).
% 0.22/0.52 tff(941,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[782, 940, 919])).
% 0.22/0.52 tff(942,plain,(iT = iminus3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(943,plain,
% 0.22/0.52 (iminus3 = iT),
% 0.22/0.52 inference(symmetry,[status(thm)],[942])).
% 0.22/0.52 tff(944,plain,
% 0.22/0.52 ((iminus3 = iplus2) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[943])).
% 0.22/0.52 tff(945,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus3 = iplus2)),
% 0.22/0.52 inference(symmetry,[status(thm)],[944])).
% 0.22/0.52 tff(946,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iF = iminus3)),
% 0.22/0.52 inference(transitivity,[status(thm)],[945, 893, 891])).
% 0.22/0.52 tff(947,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iF = iminus3))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[946])).
% 0.22/0.52 tff(948,plain,
% 0.22/0.52 (~(iF = iminus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 947])).
% 0.22/0.52 tff(949,plain,
% 0.22/0.52 ((~![X: $i] : (cTorF(X) <=> ((X = iminus3) | (X = iplus3)))) | (cTorF(iF) <=> ((iF = iminus3) | (iF = iplus3)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(950,plain,
% 0.22/0.52 (cTorF(iF) <=> ((iF = iminus3) | (iF = iplus3))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[949, 570])).
% 0.22/0.52 tff(951,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus3) | (iF = iplus3)))) | (~cTorF(iF)) | ((iF = iminus3) | (iF = iplus3))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(952,plain,
% 0.22/0.52 ((~(cTorF(iF) <=> ((iF = iminus3) | (iF = iplus3)))) | ((iF = iminus3) | (iF = iplus3))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[951, 33])).
% 0.22/0.52 tff(953,plain,
% 0.22/0.52 ((iF = iminus3) | (iF = iplus3)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[952, 950])).
% 0.22/0.52 tff(954,plain,
% 0.22/0.52 ((~((iF = iminus3) | (iF = iplus3))) | (iF = iminus3) | (iF = iplus3)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(955,plain,
% 0.22/0.52 ((iF = iminus3) | (iF = iplus3)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[954, 953])).
% 0.22/0.52 tff(956,plain,
% 0.22/0.52 (iF = iplus3),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[955, 948])).
% 0.22/0.52 tff(957,plain,
% 0.22/0.52 (iplus3 = iF),
% 0.22/0.52 inference(symmetry,[status(thm)],[956])).
% 0.22/0.52 tff(958,plain,
% 0.22/0.52 (iplus3 = iplus2),
% 0.22/0.52 inference(transitivity,[status(thm)],[957, 607])).
% 0.22/0.52 tff(959,plain,
% 0.22/0.52 ((iminus2 = iplus3) <=> (iT = iplus2)),
% 0.22/0.52 inference(monotonicity,[status(thm)],[628, 958])).
% 0.22/0.52 tff(960,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iminus2 = iplus3)),
% 0.22/0.52 inference(symmetry,[status(thm)],[959])).
% 0.22/0.52 tff(961,plain,
% 0.22/0.52 ((iT = iplus2) <=> (iT = iplus3)),
% 0.22/0.52 inference(transitivity,[status(thm)],[960, 890])).
% 0.22/0.52 tff(962,plain,
% 0.22/0.52 ((~(iT = iplus2)) <=> (~(iT = iplus3))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[961])).
% 0.22/0.52 tff(963,plain,
% 0.22/0.52 (~(iT = iplus3)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[644, 962])).
% 0.22/0.52 tff(964,plain,
% 0.22/0.52 (((iT = iplus3) | (iT = iminus9) | (iT = iplus4)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iplus4))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(965,plain,
% 0.22/0.52 ((((iT = iplus3) | (iT = iminus9)) | (iT = iplus4)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iplus4))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(966,plain,
% 0.22/0.52 ((((iT = iplus3) | (iT = iminus9)) | (iT = iplus4)) <=> (((iT = iplus3) | (iT = iminus9)) | (iT = iplus4))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[540])).
% 0.22/0.52 tff(967,plain,
% 0.22/0.52 ((((iT = iplus3) | (iT = iminus9)) | (iT = iplus4)) <=> ((iT = iplus3) | (iT = iminus9) | (iT = iplus4))),
% 0.22/0.52 inference(transitivity,[status(thm)],[966, 965])).
% 0.22/0.52 tff(968,axiom,(((iT = iplus3) | (iT = iminus9)) | (iT = iplus4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_18')).
% 0.22/0.52 tff(969,plain,
% 0.22/0.52 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[968, 967])).
% 0.22/0.53 tff(970,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[969, 964])).
% 0.22/0.53 tff(971,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[970, 964])).
% 0.22/0.53 tff(972,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[971, 964])).
% 0.22/0.53 tff(973,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[972, 964])).
% 0.22/0.53 tff(974,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[973, 964])).
% 0.22/0.53 tff(975,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[974, 964])).
% 0.22/0.53 tff(976,plain,
% 0.22/0.53 ((iT = iplus3) | (iT = iminus9) | (iT = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[975, 964])).
% 0.22/0.53 tff(977,plain,
% 0.22/0.53 (iT = iplus4),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[976, 963, 888])).
% 0.22/0.53 tff(978,plain,
% 0.22/0.53 (iplus4 = iT),
% 0.22/0.53 inference(symmetry,[status(thm)],[977])).
% 0.22/0.53 tff(979,plain,
% 0.22/0.53 ((iplus4 = iplus2) <=> (iT = iplus2)),
% 0.22/0.53 inference(monotonicity,[status(thm)],[978])).
% 0.22/0.53 tff(980,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iplus4 = iplus2)),
% 0.22/0.53 inference(symmetry,[status(thm)],[979])).
% 0.22/0.53 tff(981,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iF = iplus4)),
% 0.22/0.53 inference(transitivity,[status(thm)],[980, 632, 630])).
% 0.22/0.53 tff(982,plain,
% 0.22/0.53 ((~(iT = iplus2)) <=> (~(iF = iplus4))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[981])).
% 0.22/0.53 tff(983,plain,
% 0.22/0.53 (~(iF = iplus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[644, 982])).
% 0.22/0.53 tff(984,plain,
% 0.22/0.53 (iF = iminus4),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[712, 983])).
% 0.22/0.53 tff(985,plain,
% 0.22/0.53 (iminus4 = iF),
% 0.22/0.53 inference(symmetry,[status(thm)],[984])).
% 0.22/0.53 tff(986,plain,
% 0.22/0.53 (iminus4 = iplus2),
% 0.22/0.53 inference(transitivity,[status(thm)],[985, 607])).
% 0.22/0.53 tff(987,plain,
% 0.22/0.53 ((iminus4 = iminus2) <=> (iplus2 = iT)),
% 0.22/0.53 inference(monotonicity,[status(thm)],[986, 628])).
% 0.22/0.53 tff(988,plain,
% 0.22/0.53 ((iminus4 = iminus2) <=> (iT = iplus2)),
% 0.22/0.53 inference(transitivity,[status(thm)],[987, 627])).
% 0.22/0.53 tff(989,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iminus4 = iminus2)),
% 0.22/0.53 inference(symmetry,[status(thm)],[988])).
% 0.22/0.53 tff(990,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iT = iminus4)),
% 0.22/0.53 inference(transitivity,[status(thm)],[989, 626])).
% 0.22/0.53 tff(991,plain,
% 0.22/0.53 ((~(iT = iplus2)) <=> (~(iT = iminus4))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[990])).
% 0.22/0.53 tff(992,plain,
% 0.22/0.53 (~(iT = iminus4)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[644, 991])).
% 0.22/0.53 tff(993,plain,
% 0.22/0.53 (((iT = iminus7) | (iT = iplus8) | (iT = iplus3)) <=> ((iT = iminus7) | (iT = iplus8) | (iT = iplus3))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(994,plain,
% 0.22/0.53 ((((iT = iplus8) | (iT = iplus3)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iplus8) | (iT = iplus3))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(995,plain,
% 0.22/0.53 (((iT = iplus8) | (iT = iplus3)) <=> ((iT = iplus8) | (iT = iplus3))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(996,plain,
% 0.22/0.53 ((((iT = iplus8) | (iT = iplus3)) | (iT = iminus7)) <=> (((iT = iplus8) | (iT = iplus3)) | (iT = iminus7))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[995])).
% 0.22/0.53 tff(997,plain,
% 0.22/0.53 ((((iT = iplus8) | (iT = iplus3)) | (iT = iminus7)) <=> ((iT = iminus7) | (iT = iplus8) | (iT = iplus3))),
% 0.22/0.53 inference(transitivity,[status(thm)],[996, 994])).
% 0.22/0.53 tff(998,axiom,(((iT = iplus8) | (iT = iplus3)) | (iT = iminus7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_44')).
% 0.22/0.53 tff(999,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[998, 997])).
% 0.22/0.53 tff(1000,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[999, 993])).
% 0.22/0.53 tff(1001,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1000, 993])).
% 0.22/0.53 tff(1002,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1001, 993])).
% 0.22/0.53 tff(1003,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1002, 993])).
% 0.22/0.53 tff(1004,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1003, 993])).
% 0.22/0.53 tff(1005,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1004, 993])).
% 0.22/0.53 tff(1006,plain,
% 0.22/0.53 ((iT = iminus7) | (iT = iplus8) | (iT = iplus3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[1005, 993])).
% 0.22/0.53 tff(1007,plain,
% 0.22/0.53 (iT = iplus8),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[1006, 963, 824])).
% 0.22/0.53 tff(1008,plain,
% 0.22/0.53 (iplus8 = iT),
% 0.22/0.53 inference(symmetry,[status(thm)],[1007])).
% 0.22/0.53 tff(1009,plain,
% 0.22/0.53 ((iplus8 = iplus2) <=> (iT = iplus2)),
% 0.22/0.53 inference(monotonicity,[status(thm)],[1008])).
% 0.22/0.53 tff(1010,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iplus8 = iplus2)),
% 0.22/0.53 inference(symmetry,[status(thm)],[1009])).
% 0.22/0.53 tff(1011,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iF = iplus8)),
% 0.22/0.53 inference(transitivity,[status(thm)],[1010, 743])).
% 0.22/0.53 tff(1012,plain,
% 0.22/0.53 ((~(iT = iplus2)) <=> (~(iF = iplus8))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[1011])).
% 0.22/0.53 tff(1013,plain,
% 0.22/0.53 (~(iF = iplus8)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[644, 1012])).
% 0.22/0.53 tff(1014,plain,
% 0.22/0.53 (iF = iminus8),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[782, 1013])).
% 0.22/0.53 tff(1015,plain,
% 0.22/0.53 (iminus8 = iF),
% 0.22/0.53 inference(symmetry,[status(thm)],[1014])).
% 0.22/0.53 tff(1016,plain,
% 0.22/0.53 (iminus8 = iplus2),
% 0.22/0.53 inference(transitivity,[status(thm)],[1015, 607])).
% 0.22/0.53 tff(1017,plain,
% 0.22/0.53 ((iminus2 = iminus8) <=> (iT = iplus2)),
% 0.22/0.53 inference(monotonicity,[status(thm)],[628, 1016])).
% 0.22/0.53 tff(1018,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iminus2 = iminus8)),
% 0.22/0.53 inference(symmetry,[status(thm)],[1017])).
% 0.22/0.53 tff(1019,plain,
% 0.22/0.53 ((iT = iplus2) <=> (iT = iminus8)),
% 0.22/0.53 inference(transitivity,[status(thm)],[1018, 739])).
% 0.22/0.53 tff(1020,plain,
% 0.22/0.53 ((~(iT = iplus2)) <=> (~(iT = iminus8))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[1019])).
% 0.22/0.53 tff(1021,plain,
% 0.22/0.53 (~(iT = iminus8)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[644, 1020])).
% 0.22/0.53 tff(1022,plain,
% 0.22/0.53 ($false),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[801, 1021, 992, 888])).
% 0.22/0.53 % SZS output end Proof
%------------------------------------------------------------------------------