%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS175+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 Jun 21 05:13:31 AM UTC 2025
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS175+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 19:11:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(xsd_string_type, type, (
% 0.13/0.38 xsd_string: $i > $o)).
% 0.13/0.38 tff(tptp_fun_X_1_type, type, (
% 0.13/0.38 tptp_fun_X_1: $i)).
% 0.13/0.38 tff(xsd_integer_type, type, (
% 0.13/0.38 xsd_integer: $i > $o)).
% 0.13/0.38 tff(cowlNothing_type, type, (
% 0.13/0.38 cowlNothing: $i > $o)).
% 0.13/0.38 tff(tptp_fun_X_0_type, type, (
% 0.13/0.38 tptp_fun_X_0: $i)).
% 0.13/0.38 tff(cowlThing_type, type, (
% 0.13/0.38 cowlThing: $i > $o)).
% 0.13/0.38 tff(ib_type, type, (
% 0.13/0.38 ib: $i)).
% 0.13/0.38 tff(tptp_fun_X_2_type, type, (
% 0.13/0.38 tptp_fun_X_2: $i)).
% 0.13/0.38 tff(ia_type, type, (
% 0.13/0.38 ia: $i)).
% 0.13/0.38 tff(cA_and_B_type, type, (
% 0.13/0.38 cA_and_B: $i > $o)).
% 0.13/0.38 tff(cB_type, type, (
% 0.13/0.38 cB: $i > $o)).
% 0.13/0.38 tff(cA_type, type, (
% 0.13/0.38 cA: $i > $o)).
% 0.13/0.38 tff(1,assumption,(cowlNothing(X!0) | (~cowlThing(X!0))), introduced(assumption)).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.13/0.38 tff(4,plain,
% 0.13/0.38 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.38 tff(6,plain,
% 0.13/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.13/0.38 tff(8,plain,
% 0.13/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.38 tff(9,plain,(
% 0.13/0.38 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.13/0.38 inference(skolemize,[status(sab)],[8])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(13,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.13/0.38 tff(14,plain,(~(cowlNothing(X!0) | (~cowlThing(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(15,plain,
% 0.13/0.38 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(16,plain,
% 0.13/0.38 (~cowlNothing(X!0)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.13/0.38 tff(17,plain,
% 0.13/0.38 ((cowlNothing(X!0) | (~cowlThing(X!0))) | cowlThing(X!0)),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 (cowlThing(X!0)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.13/0.38 tff(19,plain,
% 0.13/0.38 (^[X: $i] : refl((cA_and_B(X) <=> (cA(X) | cB(X))) <=> (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(20,plain,
% 0.13/0.38 (![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))) <=> ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.13/0.38 tff(21,plain,
% 0.13/0.38 (![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))) <=> ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(22,axiom,(![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.13/0.38 tff(23,plain,
% 0.13/0.38 (![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.38 tff(24,plain,(
% 0.13/0.38 ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.13/0.38 inference(skolemize,[status(sab)],[23])).
% 0.13/0.38 tff(25,plain,
% 0.13/0.38 (![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.13/0.38 tff(26,plain,
% 0.13/0.38 ((~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))) | (cA_and_B(X!2) <=> (cA(X!2) | cB(X!2)))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(27,plain,
% 0.13/0.38 (cA_and_B(X!2) <=> (cA(X!2) | cB(X!2))),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.13/0.38 tff(28,assumption,(~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))), introduced(assumption)).
% 0.13/0.38 tff(29,assumption,(X!2 = ia), introduced(assumption)).
% 0.13/0.38 tff(30,plain,
% 0.13/0.38 (((X!2 = ia) | (X!2 = ib)) | (~(X!2 = ia))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(31,plain,
% 0.13/0.38 ((X!2 = ia) | (X!2 = ib)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.13/0.38 tff(32,plain,
% 0.13/0.38 ((cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib))) | (~cA_and_B(X!2)) | (~((X!2 = ia) | (X!2 = ib)))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(33,plain,
% 0.13/0.38 (~cA_and_B(X!2)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[32, 31, 28])).
% 0.13/0.38 tff(34,assumption,(~(cA(X!2) <=> (X!2 = ia))), introduced(assumption)).
% 0.13/0.38 tff(35,plain,
% 0.13/0.38 (^[X: $i] : refl((cA(X) <=> (X = ia)) <=> (cA(X) <=> (X = ia)))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(36,plain,
% 0.13/0.38 (![X: $i] : (cA(X) <=> (X = ia)) <=> ![X: $i] : (cA(X) <=> (X = ia))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[35])).
% 0.13/0.38 tff(37,plain,
% 0.13/0.38 (![X: $i] : (cA(X) <=> (X = ia)) <=> ![X: $i] : (cA(X) <=> (X = ia))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(38,axiom,(![X: $i] : (cA(X) <=> (X = ia))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.13/0.38 tff(39,plain,
% 0.13/0.38 (![X: $i] : (cA(X) <=> (X = ia))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.13/0.38 tff(40,plain,(
% 0.13/0.38 ![X: $i] : (cA(X) <=> (X = ia))),
% 0.13/0.38 inference(skolemize,[status(sab)],[39])).
% 0.13/0.38 tff(41,plain,
% 0.13/0.38 (![X: $i] : (cA(X) <=> (X = ia))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.13/0.38 tff(42,plain,
% 0.13/0.38 ((~![X: $i] : (cA(X) <=> (X = ia))) | (cA(X!2) <=> (X!2 = ia))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(43,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[42, 41, 34])).
% 0.13/0.38 tff(44,plain,(cA(X!2) <=> (X!2 = ia)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(45,plain,
% 0.13/0.38 ((~(cA(X!2) <=> (X!2 = ia))) | cA(X!2) | (~(X!2 = ia))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(46,plain,
% 0.13/0.38 (cA(X!2)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[45, 29, 44])).
% 0.13/0.38 tff(47,plain,
% 0.13/0.38 ((cA(X!2) | cB(X!2)) | (~cA(X!2))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(48,plain,
% 0.13/0.38 (cA(X!2) | cB(X!2)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.13/0.38 tff(49,plain,
% 0.13/0.38 ((~(cA_and_B(X!2) <=> (cA(X!2) | cB(X!2)))) | cA_and_B(X!2) | (~(cA(X!2) | cB(X!2)))),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(50,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[49, 48, 33, 27])).
% 0.13/0.38 tff(51,plain,((~(X!2 = ia)) | (cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(52,plain,
% 0.13/0.38 (~(X!2 = ia)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[51, 28])).
% 0.13/0.38 tff(53,assumption,(~(cB(X!2) <=> (X!2 = ib))), introduced(assumption)).
% 0.13/0.38 tff(54,plain,
% 0.13/0.38 (^[X: $i] : refl((cB(X) <=> (X = ib)) <=> (cB(X) <=> (X = ib)))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(55,plain,
% 0.13/0.38 (![X: $i] : (cB(X) <=> (X = ib)) <=> ![X: $i] : (cB(X) <=> (X = ib))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[54])).
% 0.13/0.38 tff(56,plain,
% 0.13/0.38 (![X: $i] : (cB(X) <=> (X = ib)) <=> ![X: $i] : (cB(X) <=> (X = ib))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(57,axiom,(![X: $i] : (cB(X) <=> (X = ib))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
% 0.13/0.38 tff(58,plain,
% 0.13/0.38 (![X: $i] : (cB(X) <=> (X = ib))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.13/0.38 tff(59,plain,(
% 0.13/0.38 ![X: $i] : (cB(X) <=> (X = ib))),
% 0.13/0.38 inference(skolemize,[status(sab)],[58])).
% 0.13/0.38 tff(60,plain,
% 0.13/0.38 (![X: $i] : (cB(X) <=> (X = ib))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.13/0.38 tff(61,plain,
% 0.13/0.38 ((~![X: $i] : (cB(X) <=> (X = ib))) | (cB(X!2) <=> (X!2 = ib))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(62,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[61, 60, 53])).
% 0.13/0.38 tff(63,plain,(cB(X!2) <=> (X!2 = ib)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(64,assumption,(~(X!2 = ib)), introduced(assumption)).
% 0.13/0.38 tff(65,plain,
% 0.13/0.38 ((~(cB(X!2) <=> (X!2 = ib))) | (~cB(X!2)) | (X!2 = ib)),
% 0.13/0.38 inference(tautology,[status(thm)],[])).
% 0.13/0.38 tff(66,plain,
% 0.13/0.38 (~cB(X!2)),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[65, 64, 63])).
% 0.13/0.39 tff(67,assumption,(~(X!2 = ia)), introduced(assumption)).
% 0.13/0.39 tff(68,plain,
% 0.13/0.39 ((~(cA(X!2) <=> (X!2 = ia))) | (~cA(X!2)) | (X!2 = ia)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(69,plain,
% 0.13/0.39 (~cA(X!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[68, 67, 44])).
% 0.13/0.39 tff(70,plain,
% 0.13/0.39 ((~(cA(X!2) | cB(X!2))) | cA(X!2) | cB(X!2)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(71,plain,
% 0.13/0.39 (~(cA(X!2) | cB(X!2))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[70, 69, 66])).
% 0.13/0.39 tff(72,plain,
% 0.13/0.39 ((~((X!2 = ia) | (X!2 = ib))) | (X!2 = ia) | (X!2 = ib)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(73,plain,
% 0.13/0.39 (~((X!2 = ia) | (X!2 = ib))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[72, 67, 64])).
% 0.13/0.39 tff(74,plain,
% 0.13/0.39 ((cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib))) | cA_and_B(X!2) | ((X!2 = ia) | (X!2 = ib))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(75,plain,
% 0.13/0.39 (cA_and_B(X!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[74, 73, 28])).
% 0.13/0.39 tff(76,plain,
% 0.13/0.39 ((~(cA_and_B(X!2) <=> (cA(X!2) | cB(X!2)))) | (~cA_and_B(X!2)) | (cA(X!2) | cB(X!2))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(77,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[76, 75, 71, 27])).
% 0.13/0.39 tff(78,plain,((X!2 = ia) | (cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib))) | (X!2 = ib)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(79,plain,
% 0.13/0.39 (X!2 = ib),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[78, 52, 28])).
% 0.13/0.39 tff(80,plain,
% 0.13/0.39 (((X!2 = ia) | (X!2 = ib)) | (~(X!2 = ib))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(81,plain,
% 0.13/0.39 ((X!2 = ia) | (X!2 = ib)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.13/0.39 tff(82,plain,
% 0.13/0.39 (~cA_and_B(X!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[32, 81, 28])).
% 0.13/0.39 tff(83,plain,
% 0.13/0.39 ((~(cB(X!2) <=> (X!2 = ib))) | cB(X!2) | (~(X!2 = ib))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(84,plain,
% 0.13/0.39 (cB(X!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[83, 79, 63])).
% 0.13/0.39 tff(85,plain,
% 0.13/0.39 ((cA(X!2) | cB(X!2)) | (~cB(X!2))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(86,plain,
% 0.13/0.39 (cA(X!2) | cB(X!2)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.13/0.39 tff(87,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[49, 86, 82, 27])).
% 0.13/0.39 tff(88,plain,(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(89,plain,
% 0.13/0.39 (cowlThing(ib) <=> cowlThing(ib)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(90,axiom,(cowlThing(ib)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 0.13/0.39 tff(91,plain,
% 0.13/0.39 (cowlThing(ib)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.13/0.39 tff(92,plain,
% 0.13/0.39 (cowlThing(ia) <=> cowlThing(ia)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(93,axiom,(cowlThing(ia)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.13/0.39 tff(94,plain,
% 0.13/0.39 (cowlThing(ia)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.13/0.39 tff(95,plain,
% 0.13/0.39 ((((~cowlThing(X!0)) | cowlNothing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> ((~cowlThing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)) | cowlNothing(X!0))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(96,plain,
% 0.13/0.39 ((~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) <=> (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(97,plain,
% 0.13/0.39 ((~(~((~cowlThing(X!0)) | cowlNothing(X!0)))) <=> ((~cowlThing(X!0)) | cowlNothing(X!0))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(98,plain,
% 0.13/0.39 ((cowlThing(X!0) & (~cowlNothing(X!0))) <=> (~((~cowlThing(X!0)) | cowlNothing(X!0)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(99,plain,
% 0.13/0.39 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (~(~((~cowlThing(X!0)) | cowlNothing(X!0))))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[98])).
% 0.13/0.39 tff(100,plain,
% 0.13/0.39 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> ((~cowlThing(X!0)) | cowlNothing(X!0))),
% 0.13/0.39 inference(transitivity,[status(thm)],[99, 97])).
% 0.13/0.39 tff(101,plain,
% 0.13/0.39 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> (((~cowlThing(X!0)) | cowlNothing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[100, 96])).
% 0.13/0.39 tff(102,plain,
% 0.13/0.39 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> ((~cowlThing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)) | cowlNothing(X!0))),
% 0.13/0.39 inference(transitivity,[status(thm)],[101, 95])).
% 0.13/0.39 tff(103,plain,
% 0.13/0.39 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(104,plain,
% 0.13/0.39 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[96])).
% 0.13/0.39 tff(105,plain,
% 0.13/0.39 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~(cA_and_B(X!2) <=> ((X!2 = ia) | (X!2 = ib)))) | (~cowlThing(ia)) | (~cowlThing(ib)))),
% 0.13/0.39 inference(transitivity,[status(thm)],[104, 103])).
% 0.13/0.39 tff(106,plain,
% 0.13/0.39 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(107,plain,
% 0.13/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib)))),
% 0.13/0.39 inference(monotonicity,[status(thm)],[106])).
% 0.13/0.39 tff(108,plain,
% 0.13/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(109,plain,
% 0.13/0.39 ((~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cA_and_B(X) <=> ((X = ib) | (X = ia)))) & cowlThing(ia)) & cowlThing(ib))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(110,axiom,(~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cA_and_B(X) <=> ((X = ib) | (X = ia)))) & cowlThing(ia)) & cowlThing(ib))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.13/0.39 tff(111,plain,
% 0.13/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.13/0.39 tff(112,plain,
% 0.13/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[111, 107])).
% 0.13/0.39 tff(113,plain,
% 0.13/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.13/0.39 tff(114,plain,
% 0.13/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) & cowlThing(ia) & cowlThing(ib))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[113, 107])).
% 0.13/0.39 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.13/0.39 (a!2 (not (and (cowlThing X!0) (not (cowlNothing X!0)))))
% 0.13/0.39 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.13/0.39 (a!5 (forall ((X $i)) (= (cA_and_B X) (or (= X ia) (= X ib)))))
% 0.13/0.39 (a!6 (not (= (cA_and_B X!2) (or (= X!2 ia) (= X!2 ib)))))
% 0.13/0.39 (a!7 (refl (~ (not (cowlThing ia)) (not (cowlThing ia)))))
% 0.13/0.39 (a!8 (refl (~ (not (cowlThing ib)) (not (cowlThing ib))))))
% 0.13/0.39 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!1) (xsd_string X!1)))))
% 0.13/0.39 (a!9 (~ (not (and a!1 a!3 a!5 (cowlThing ia) (cowlThing ib)))
% 0.13/0.39 (or a!2
% 0.13/0.39 (= (xsd_integer X!1) (xsd_string X!1))
% 0.13/0.39 a!6
% 0.13/0.39 (not (cowlThing ia))
% 0.13/0.39 (not (cowlThing ib))))))
% 0.13/0.39 (nnf-neg (sk (~ (not a!1) a!2)) a!4 (sk (~ (not a!5) a!6)) a!7 a!8 a!9)))
% 0.13/0.39 Proof display could not be completed: unexpected number of arguments
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------