TSTP Solution File: KRS090+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 17:44:42 EDT 2022
% Result : Unsatisfiable 0.15s 0.36s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS090+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Sep 1 09:35:05 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.31 Usage: tptp [options] [-file:]file
% 0.09/0.31 -h, -? prints this message.
% 0.09/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.31 -m, -model generate model.
% 0.09/0.31 -p, -proof generate proof.
% 0.09/0.31 -c, -core generate unsat core of named formulas.
% 0.09/0.31 -st, -statistics display statistics.
% 0.09/0.31 -t:timeout set timeout (in second).
% 0.09/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.31 -<param>:<value> configuration parameter and value.
% 0.09/0.31 -o:<output-file> file to place output in.
% 0.15/0.36 % SZS status Unsatisfiable
% 0.15/0.36 % SZS output start Proof
% 0.15/0.36 tff(cB_type, type, (
% 0.15/0.36 cB: $i > $o)).
% 0.15/0.36 tff(tptp_fun_Y_0_type, type, (
% 0.15/0.36 tptp_fun_Y_0: $i > $i)).
% 0.15/0.36 tff(i2003_11_14_17_19_57994_type, type, (
% 0.15/0.36 i2003_11_14_17_19_57994: $i)).
% 0.15/0.36 tff(cA_type, type, (
% 0.15/0.36 cA: $i > $o)).
% 0.15/0.36 tff(cC2_type, type, (
% 0.15/0.36 cC2: $i > $o)).
% 0.15/0.36 tff(rR_type, type, (
% 0.15/0.36 rR: ( $i * $i ) > $o)).
% 0.15/0.36 tff(cC4_type, type, (
% 0.15/0.36 cC4: $i > $o)).
% 0.15/0.36 tff(cC5_type, type, (
% 0.15/0.36 cC5: $i > $o)).
% 0.15/0.36 tff(cC1_type, type, (
% 0.15/0.36 cC1: $i > $o)).
% 0.15/0.36 tff(cTEST_type, type, (
% 0.15/0.36 cTEST: $i > $o)).
% 0.15/0.36 tff(cC3_type, type, (
% 0.15/0.36 cC3: $i > $o)).
% 0.15/0.36 tff(1,assumption,(~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))), introduced(assumption)).
% 0.15/0.36 tff(2,plain,
% 0.15/0.36 (cTEST(i2003_11_14_17_19_57994) <=> cTEST(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(3,axiom,(cTEST(i2003_11_14_17_19_57994)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_8')).
% 0.15/0.36 tff(4,plain,
% 0.15/0.36 (cTEST(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.36 tff(5,plain,
% 0.15/0.36 (^[X: $i] : refl(((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X))))) <=> ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(6,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X))))) <=> ![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[5])).
% 0.15/0.36 tff(7,plain,
% 0.15/0.36 (^[X: $i] : rewrite(((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X))) <=> ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(8,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X))) <=> ![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[7])).
% 0.15/0.36 tff(9,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X))) <=> ![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(10,plain,
% 0.15/0.36 (^[X: $i] : trans(monotonicity(rewrite(((cC4(X) & cC1(X)) & cC5(X)) <=> (cC4(X) & cC1(X) & cC5(X))), ((cTEST(X) => ((cC4(X) & cC1(X)) & cC5(X))) <=> (cTEST(X) => (cC4(X) & cC1(X) & cC5(X))))), rewrite((cTEST(X) => (cC4(X) & cC1(X) & cC5(X))) <=> ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))), ((cTEST(X) => ((cC4(X) & cC1(X)) & cC5(X))) <=> ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(11,plain,
% 0.15/0.36 (![X: $i] : (cTEST(X) => ((cC4(X) & cC1(X)) & cC5(X))) <=> ![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.15/0.36 tff(12,axiom,(![X: $i] : (cTEST(X) => ((cC4(X) & cC1(X)) & cC5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 0.15/0.36 tff(13,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.15/0.36 tff(14,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.15/0.36 tff(15,plain,(
% 0.15/0.36 ![X: $i] : ((~cTEST(X)) | (cC4(X) & cC1(X) & cC5(X)))),
% 0.15/0.36 inference(skolemize,[status(sab)],[14])).
% 0.15/0.36 tff(16,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.15/0.36 tff(17,plain,
% 0.15/0.36 (![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[16, 6])).
% 0.15/0.36 tff(18,plain,
% 0.15/0.36 (((~![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))) | ((~cTEST(i2003_11_14_17_19_57994)) | (~((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994)))))) <=> ((~![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))) | (~cTEST(i2003_11_14_17_19_57994)) | (~((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994)))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(19,plain,
% 0.15/0.36 ((~![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))) | ((~cTEST(i2003_11_14_17_19_57994)) | (~((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994)))))),
% 0.15/0.36 inference(quant_inst,[status(thm)],[])).
% 0.15/0.36 tff(20,plain,
% 0.15/0.36 ((~![X: $i] : ((~cTEST(X)) | (~((~cC1(X)) | (~cC4(X)) | (~cC5(X)))))) | (~cTEST(i2003_11_14_17_19_57994)) | (~((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.15/0.36 tff(21,plain,
% 0.15/0.36 (~((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994)))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[20, 17, 4])).
% 0.15/0.36 tff(22,plain,
% 0.15/0.36 (((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994))) | cC4(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(23,plain,
% 0.15/0.36 (cC4(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.15/0.36 tff(24,plain,
% 0.15/0.36 (^[X: $i] : refl(((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X)))))) <=> ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X)))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(25,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X)))))) <=> ![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[24])).
% 0.15/0.36 tff(26,plain,
% 0.15/0.36 (^[X: $i] : rewrite(((~cC4(X)) | (rR(X, tptp_fun_Y_0(X)) & cC2(tptp_fun_Y_0(X)))) <=> ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X)))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(27,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | (rR(X, tptp_fun_Y_0(X)) & cC2(tptp_fun_Y_0(X)))) <=> ![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[26])).
% 0.15/0.36 tff(28,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y))) <=> ![X: $i] : ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y)))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(29,plain,
% 0.15/0.36 (^[X: $i] : rewrite((cC4(X) => ?[Y: $i] : (rR(X, Y) & cC2(Y))) <=> ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(30,plain,
% 0.15/0.36 (![X: $i] : (cC4(X) => ?[Y: $i] : (rR(X, Y) & cC2(Y))) <=> ![X: $i] : ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y)))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[29])).
% 0.15/0.36 tff(31,axiom,(![X: $i] : (cC4(X) => ?[Y: $i] : (rR(X, Y) & cC2(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.15/0.36 tff(32,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.15/0.36 tff(33,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | ?[Y: $i] : (rR(X, Y) & cC2(Y)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.15/0.36 tff(34,plain,(
% 0.15/0.36 ![X: $i] : ((~cC4(X)) | (rR(X, tptp_fun_Y_0(X)) & cC2(tptp_fun_Y_0(X))))),
% 0.15/0.36 inference(skolemize,[status(sab)],[33])).
% 0.15/0.36 tff(35,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.15/0.36 tff(36,plain,
% 0.15/0.36 (![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.15/0.36 tff(37,plain,
% 0.15/0.36 (((~![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))) | ((~cC4(i2003_11_14_17_19_57994)) | (~((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))) <=> ((~![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))) | (~cC4(i2003_11_14_17_19_57994)) | (~((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(38,plain,
% 0.15/0.36 ((~![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))) | ((~cC4(i2003_11_14_17_19_57994)) | (~((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))),
% 0.15/0.36 inference(quant_inst,[status(thm)],[])).
% 0.15/0.36 tff(39,plain,
% 0.15/0.36 ((~![X: $i] : ((~cC4(X)) | (~((~rR(X, tptp_fun_Y_0(X))) | (~cC2(tptp_fun_Y_0(X))))))) | (~cC4(i2003_11_14_17_19_57994)) | (~((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.15/0.36 tff(40,plain,
% 0.15/0.36 (~((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[39, 36, 23])).
% 0.15/0.36 tff(41,plain,
% 0.15/0.36 (((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994)))) | cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(42,plain,
% 0.15/0.36 (cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.15/0.36 tff(43,plain,
% 0.15/0.36 (^[X: $i] : refl(((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X)))))) <=> ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X)))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(44,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X)))))) <=> ![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[43])).
% 0.15/0.36 tff(45,plain,
% 0.15/0.36 (^[X: $i] : rewrite(((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))) <=> ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X)))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(46,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))) <=> ![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[45])).
% 0.15/0.36 tff(47,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))) <=> ![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(48,plain,
% 0.15/0.36 (^[X: $i] : trans(monotonicity(rewrite((((~cB(X)) | cA(X)) & (cB(X) | cA(X))) <=> ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))), ((cC2(X) => (((~cB(X)) | cA(X)) & (cB(X) | cA(X)))) <=> (cC2(X) => ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))))), rewrite((cC2(X) => ((cA(X) | (~cB(X))) & (cA(X) | cB(X)))) <=> ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))), ((cC2(X) => (((~cB(X)) | cA(X)) & (cB(X) | cA(X)))) <=> ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(49,plain,
% 0.15/0.36 (![X: $i] : (cC2(X) => (((~cB(X)) | cA(X)) & (cB(X) | cA(X)))) <=> ![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[48])).
% 0.15/0.36 tff(50,axiom,(![X: $i] : (cC2(X) => (((~cB(X)) | cA(X)) & (cB(X) | cA(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.15/0.36 tff(51,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.15/0.36 tff(52,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.15/0.36 tff(53,plain,(
% 0.15/0.36 ![X: $i] : ((~cC2(X)) | ((cA(X) | (~cB(X))) & (cA(X) | cB(X))))),
% 0.15/0.36 inference(skolemize,[status(sab)],[52])).
% 0.15/0.36 tff(54,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.15/0.36 tff(55,plain,
% 0.15/0.36 (![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.15/0.36 tff(56,plain,
% 0.15/0.36 (((~![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))) | ((~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))))) <=> ((~![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(57,plain,
% 0.15/0.36 ((~![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))) | ((~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))))),
% 0.15/0.36 inference(quant_inst,[status(thm)],[])).
% 0.15/0.36 tff(58,plain,
% 0.15/0.36 ((~![X: $i] : ((~cC2(X)) | (~((~(cA(X) | (~cB(X)))) | (~(cA(X) | cB(X))))))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.15/0.36 tff(59,plain,
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% 0.15/0.36 inference(unit_resolution,[status(thm)],[58, 55, 42])).
% 0.15/0.36 tff(60,plain,
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% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(61,plain,
% 0.15/0.36 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.15/0.36 tff(62,plain,
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% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(63,plain,
% 0.15/0.36 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.15/0.36 tff(64,plain,
% 0.15/0.36 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[63, 1])).
% 0.15/0.36 tff(65,plain,
% 0.15/0.36 (((~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cC2(tptp_fun_Y_0(i2003_11_14_17_19_57994)))) | rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(66,plain,
% 0.15/0.36 (rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[65, 40])).
% 0.15/0.36 tff(67,plain,
% 0.15/0.36 (((~cC1(i2003_11_14_17_19_57994)) | (~cC4(i2003_11_14_17_19_57994)) | (~cC5(i2003_11_14_17_19_57994))) | cC5(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(tautology,[status(thm)],[])).
% 0.15/0.36 tff(68,plain,
% 0.15/0.36 (cC5(i2003_11_14_17_19_57994)),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[67, 21])).
% 0.15/0.36 tff(69,plain,
% 0.15/0.36 (^[X: $i] : refl(((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(70,plain,
% 0.15/0.36 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[69])).
% 0.15/0.36 tff(71,plain,
% 0.15/0.36 (^[X: $i] : rewrite(((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(72,plain,
% 0.15/0.36 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[71])).
% 0.15/0.36 tff(73,plain,
% 0.15/0.36 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.36 inference(transitivity,[status(thm)],[72, 70])).
% 0.15/0.36 tff(74,plain,
% 0.15/0.36 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(75,plain,
% 0.15/0.36 (^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite((rR(X, Y) => cC3(Y)) <=> (cC3(Y) | (~rR(X, Y))))), (![Y: $i] : (rR(X, Y) => cC3(Y)) <=> ![Y: $i] : (cC3(Y) | (~rR(X, Y))))), ((cC5(X) => ![Y: $i] : (rR(X, Y) => cC3(Y))) <=> (cC5(X) => ![Y: $i] : (cC3(Y) | (~rR(X, Y)))))), rewrite((cC5(X) => ![Y: $i] : (cC3(Y) | (~rR(X, Y)))) <=> ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))), ((cC5(X) => ![Y: $i] : (rR(X, Y) => cC3(Y))) <=> ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))))),
% 0.15/0.37 inference(bind,[status(th)],[])).
% 0.15/0.37 tff(76,plain,
% 0.15/0.37 (![X: $i] : (cC5(X) => ![Y: $i] : (rR(X, Y) => cC3(Y))) <=> ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.37 inference(quant_intro,[status(thm)],[75])).
% 0.15/0.37 tff(77,axiom,(![X: $i] : (cC5(X) => ![Y: $i] : (rR(X, Y) => cC3(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 0.15/0.37 tff(78,plain,
% 0.15/0.37 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.15/0.37 tff(79,plain,
% 0.15/0.37 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.15/0.37 tff(80,plain,(
% 0.15/0.37 ![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.37 inference(skolemize,[status(sab)],[79])).
% 0.15/0.37 tff(81,plain,
% 0.15/0.37 (![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[80, 73])).
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% 0.15/0.37 inference(rewrite,[status(thm)],[])).
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% 0.15/0.37 inference(quant_inst,[status(thm)],[])).
% 0.15/0.37 tff(84,plain,
% 0.15/0.37 ((~![X: $i] : ((~cC5(X)) | ![Y: $i] : (cC3(Y) | (~rR(X, Y))))) | (~cC5(i2003_11_14_17_19_57994)) | ![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.15/0.37 tff(85,plain,
% 0.15/0.37 (![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[84, 81, 68])).
% 0.15/0.37 tff(86,plain,
% 0.15/0.37 (((~![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))) | (cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))))) <=> ((~![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))) | cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.37 inference(rewrite,[status(thm)],[])).
% 0.15/0.37 tff(87,plain,
% 0.15/0.37 ((~![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))) | (cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.37 inference(quant_inst,[status(thm)],[])).
% 0.15/0.37 tff(88,plain,
% 0.15/0.37 ((~![Y: $i] : (cC3(Y) | (~rR(i2003_11_14_17_19_57994, Y)))) | cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~rR(i2003_11_14_17_19_57994, tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.15/0.37 tff(89,plain,
% 0.15/0.37 (cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[88, 85, 66])).
% 0.15/0.37 tff(90,plain,
% 0.15/0.37 (^[X: $i] : refl(((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X))))))) <=> ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X))))))))),
% 0.15/0.37 inference(bind,[status(th)],[])).
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% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X))))))) <=> ![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))),
% 0.15/0.37 inference(quant_intro,[status(thm)],[90])).
% 0.15/0.37 tff(92,plain,
% 0.15/0.37 (^[X: $i] : rewrite(((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X))))) <=> ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X))))))))),
% 0.15/0.37 inference(bind,[status(th)],[])).
% 0.15/0.37 tff(93,plain,
% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X))))) <=> ![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))),
% 0.15/0.37 inference(quant_intro,[status(thm)],[92])).
% 0.15/0.37 tff(94,plain,
% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X))))) <=> ![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))),
% 0.15/0.37 inference(rewrite,[status(thm)],[])).
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% 0.15/0.37 inference(bind,[status(th)],[])).
% 0.15/0.37 tff(96,plain,
% 0.15/0.37 (![X: $i] : (cC3(X) => (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X))))) <=> ![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))),
% 0.15/0.37 inference(quant_intro,[status(thm)],[95])).
% 0.15/0.37 tff(97,axiom,(![X: $i] : (cC3(X) => (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
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% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[97, 96])).
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% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[98, 94])).
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% 0.15/0.37 ![X: $i] : ((~cC3(X)) | (((~cB(X)) | (~cA(X))) & (cB(X) | (~cA(X)))))),
% 0.15/0.37 inference(skolemize,[status(sab)],[99])).
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% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[100, 93])).
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% 0.15/0.37 (![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[101, 91])).
% 0.15/0.37 tff(103,plain,
% 0.15/0.37 (((~![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))) | ((~cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))))) <=> ((~![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))) | (~cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))))),
% 0.15/0.37 inference(rewrite,[status(thm)],[])).
% 0.15/0.37 tff(104,plain,
% 0.15/0.37 ((~![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))) | ((~cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))))),
% 0.15/0.37 inference(quant_inst,[status(thm)],[])).
% 0.15/0.37 tff(105,plain,
% 0.15/0.37 ((~![X: $i] : ((~cC3(X)) | (~((~((~cB(X)) | (~cA(X)))) | (~(cB(X) | (~cA(X)))))))) | (~cC3(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))))),
% 0.15/0.37 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.15/0.37 tff(106,plain,
% 0.15/0.37 (~((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[105, 102, 89])).
% 0.15/0.37 tff(107,plain,
% 0.15/0.37 (((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))) | (cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(108,plain,
% 0.15/0.37 (cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.15/0.37 tff(109,plain,
% 0.15/0.37 ((~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(110,plain,
% 0.15/0.37 (cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.15/0.37 tff(111,plain,
% 0.15/0.37 ($false),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[110, 64, 1])).
% 0.15/0.37 tff(112,plain,(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))), inference(lemma,lemma(discharge,[]))).
% 0.15/0.37 tff(113,plain,
% 0.15/0.37 (((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(114,plain,
% 0.15/0.37 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[113, 59])).
% 0.15/0.37 tff(115,plain,
% 0.15/0.37 ((~(cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(116,plain,
% 0.15/0.37 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[115, 114])).
% 0.15/0.37 tff(117,plain,
% 0.15/0.37 (cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[116, 112])).
% 0.15/0.37 tff(118,plain,
% 0.15/0.37 (((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~(cB(tptp_fun_Y_0(i2003_11_14_17_19_57994)) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))))) | ((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(119,plain,
% 0.15/0.37 ((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[118, 106])).
% 0.15/0.37 tff(120,plain,
% 0.15/0.37 ((~((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994))))) | (~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(tautology,[status(thm)],[])).
% 0.15/0.37 tff(121,plain,
% 0.15/0.37 ((~cB(tptp_fun_Y_0(i2003_11_14_17_19_57994))) | (~cA(tptp_fun_Y_0(i2003_11_14_17_19_57994)))),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.15/0.37 tff(122,plain,
% 0.15/0.37 ($false),
% 0.15/0.37 inference(unit_resolution,[status(thm)],[121, 117, 112])).
% 0.15/0.37 % SZS output end Proof
%------------------------------------------------------------------------------