%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN622-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:39:42 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN622-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:39:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(p8_type, type, (
% 0.12/0.38 p8: ( $i * $i ) > $o)).
% 0.12/0.38 tff(f12_type, type, (
% 0.12/0.38 f12: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c28_type, type, (
% 0.12/0.38 c28: $i)).
% 0.12/0.38 tff(f13_type, type, (
% 0.12/0.38 f13: $i > $i)).
% 0.12/0.38 tff(c26_type, type, (
% 0.12/0.38 c26: $i)).
% 0.12/0.38 tff(f16_type, type, (
% 0.12/0.38 f16: ( $i * $i ) > $i)).
% 0.12/0.38 tff(f17_type, type, (
% 0.12/0.38 f17: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c27_type, type, (
% 0.12/0.38 c27: $i)).
% 0.12/0.38 tff(p11_type, type, (
% 0.12/0.38 p11: ( $i * $i ) > $o)).
% 0.12/0.38 tff(c23_type, type, (
% 0.12/0.38 c23: $i)).
% 0.12/0.38 tff(1,assumption,(~p11(f13(c26), f13(c26))), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (^[X0: $i] : refl(p11(X0, X0) <=> p11(X0, X0))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (![X0: $i] : p11(X0, X0) <=> ![X0: $i] : p11(X0, X0)),
% 0.12/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (![X0: $i] : p11(X0, X0) <=> ![X0: $i] : p11(X0, X0)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,axiom,(![X0: $i] : p11(X0, X0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p11_1')).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (![X0: $i] : p11(X0, X0)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.38 tff(7,plain,(
% 0.12/0.38 ![X0: $i] : p11(X0, X0)),
% 0.12/0.38 inference(skolemize,[status(sab)],[6])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![X0: $i] : p11(X0, X0)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 ((~![X0: $i] : p11(X0, X0)) | p11(f13(c26), f13(c26))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.12/0.38 tff(11,plain,(p11(f13(c26), f13(c26))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (^[X51: $i, X50: $i] : refl(p8(f16(X50, f17(X51, X50)), X51) <=> p8(f16(X50, f17(X51, X50)), X51))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51) <=> ![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)),
% 0.12/0.38 inference(quant_intro,[status(thm)],[12])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51) <=> ![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(15,axiom,(![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_8')).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.12/0.38 tff(17,plain,(
% 0.12/0.38 ![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)),
% 0.12/0.38 inference(skolemize,[status(sab)],[16])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 ((~![X51: $i, X50: $i] : p8(f16(X50, f17(X51, X50)), X51)) | p8(f16(c27, f17(c28, c27)), c28)),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (p8(f16(c27, f17(c28, c27)), c28)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (^[X39: $i, X42: $i, X41: $i, X40: $i] : refl(((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))) <=> ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))) <=> ![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[21])).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))) <=> ![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (^[X39: $i, X42: $i, X41: $i, X40: $i] : trans(monotonicity(rewrite((p8(f12(X39, X40), f12(X41, X42)) | (~p11(X39, X41))) <=> ((~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))), (((p8(f12(X39, X40), f12(X41, X42)) | (~p11(X39, X41))) | (~p8(X40, X42))) <=> (((~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))) | (~p8(X40, X42))))), rewrite((((~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42))) | (~p8(X40, X42))) <=> ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))), (((p8(f12(X39, X40), f12(X41, X42)) | (~p11(X39, X41))) | (~p8(X40, X42))) <=> ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((p8(f12(X39, X40), f12(X41, X42)) | (~p11(X39, X41))) | (~p8(X40, X42))) <=> ![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.12/0.38 tff(26,axiom,(![X39: $i, X42: $i, X41: $i, X40: $i] : ((p8(f12(X39, X40), f12(X41, X42)) | (~p11(X39, X41))) | (~p8(X40, X42)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_31')).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.12/0.38 tff(29,plain,(
% 0.12/0.38 ![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[28])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 (![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))) <=> ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | (~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 (((~p8(f16(c27, f17(c28, c27)), c28)) | (~p11(f13(c26), f13(c26))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))) <=> ((~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p11(f13(c26), f13(c26))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))) <=> ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[32])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p11(f13(c26), f13(c26))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))) <=> ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | (~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))),
% 0.12/0.38 inference(transitivity,[status(thm)],[33, 31])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p11(f13(c26), f13(c26))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | (~p11(f13(c26), f13(c26))) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 ((~p11(f13(c26), f13(c26))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[36, 30, 20])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[37, 11])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 (^[X43: $i] : refl(p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43))) <=> p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(40,plain,
% 0.12/0.39 (![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43))) <=> ![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[39])).
% 0.12/0.39 tff(41,plain,
% 0.12/0.39 (![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43))) <=> ![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(42,axiom,(![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_24')).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 (![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.12/0.39 tff(44,plain,(
% 0.12/0.39 ![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[43])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 (![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 ((~![X43: $i] : p8(f12(f13(c23), X43), f12(f13(c26), f16(c27, X43)))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 (p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.12/0.39 tff(48,assumption,(~p11(f13(c23), f13(c23))), introduced(assumption)).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 ((~![X0: $i] : p11(X0, X0)) | p11(f13(c23), f13(c23))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[49, 8, 48])).
% 0.12/0.39 tff(51,plain,(p11(f13(c23), f13(c23))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(52,assumption,(~p8(c27, c27)), introduced(assumption)).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 (^[X36: $i] : refl(p8(X36, X36) <=> p8(X36, X36))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(54,plain,
% 0.12/0.39 (![X36: $i] : p8(X36, X36) <=> ![X36: $i] : p8(X36, X36)),
% 0.12/0.39 inference(quant_intro,[status(thm)],[53])).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (![X36: $i] : p8(X36, X36) <=> ![X36: $i] : p8(X36, X36)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(56,axiom,(![X36: $i] : p8(X36, X36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_3')).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 (![X36: $i] : p8(X36, X36)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.12/0.39 tff(58,plain,(
% 0.12/0.39 ![X36: $i] : p8(X36, X36)),
% 0.12/0.39 inference(skolemize,[status(sab)],[57])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 (![X36: $i] : p8(X36, X36)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.12/0.39 tff(60,plain,
% 0.12/0.39 ((~![X36: $i] : p8(X36, X36)) | p8(c27, c27)),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[60, 59, 52])).
% 0.12/0.39 tff(62,plain,(p8(c27, c27)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(63,plain,
% 0.12/0.39 (^[X38: $i, X37: $i, X36: $i] : refl(((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38)) <=> ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(64,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38)) <=> ![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[63])).
% 0.12/0.39 tff(65,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38)) <=> ![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(66,plain,
% 0.12/0.39 (^[X38: $i, X37: $i, X36: $i] : trans(monotonicity(rewrite((p8(X37, X38) | (~p8(X36, X37))) <=> ((~p8(X36, X37)) | p8(X37, X38))), (((p8(X37, X38) | (~p8(X36, X37))) | (~p8(X36, X38))) <=> (((~p8(X36, X37)) | p8(X37, X38)) | (~p8(X36, X38))))), rewrite((((~p8(X36, X37)) | p8(X37, X38)) | (~p8(X36, X38))) <=> ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))), (((p8(X37, X38) | (~p8(X36, X37))) | (~p8(X36, X38))) <=> ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(67,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((p8(X37, X38) | (~p8(X36, X37))) | (~p8(X36, X38))) <=> ![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[66])).
% 0.12/0.39 tff(68,axiom,(![X38: $i, X37: $i, X36: $i] : ((p8(X37, X38) | (~p8(X36, X37))) | (~p8(X36, X38)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_21')).
% 0.12/0.39 tff(69,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.12/0.39 tff(70,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.12/0.39 tff(71,plain,(
% 0.12/0.39 ![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(skolemize,[status(sab)],[70])).
% 0.12/0.39 tff(72,plain,
% 0.12/0.39 (![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[71, 64])).
% 0.12/0.39 tff(73,plain,
% 0.12/0.39 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28)))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(74,plain,
% 0.12/0.39 (((~p8(f16(c27, f17(c28, c27)), c28)) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(c28, c28)) <=> (p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(75,plain,
% 0.12/0.39 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(c28, c28))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[74])).
% 0.12/0.39 tff(76,plain,
% 0.12/0.39 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(c28, c28))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[75, 73])).
% 0.12/0.39 tff(77,plain,
% 0.12/0.39 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f16(c27, f17(c28, c27)), c28)) | (~p8(f16(c27, f17(c28, c27)), c28)) | p8(c28, c28))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(78,plain,
% 0.12/0.39 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | p8(c28, c28) | (~p8(f16(c27, f17(c28, c27)), c28))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.12/0.39 tff(79,plain,
% 0.12/0.39 (p8(c28, c28)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[78, 72, 20])).
% 0.12/0.39 tff(80,plain,
% 0.12/0.39 (^[X53: $i, X55: $i, X52: $i, X54: $i] : refl(((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))) <=> ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(81,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))) <=> ![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[80])).
% 0.12/0.39 tff(82,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))) <=> ![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(83,plain,
% 0.12/0.39 (^[X53: $i, X55: $i, X52: $i, X54: $i] : trans(monotonicity(rewrite((p8(f17(X52, X53), f17(X54, X55)) | (~p8(X52, X54))) <=> ((~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))), (((p8(f17(X52, X53), f17(X54, X55)) | (~p8(X52, X54))) | (~p8(X53, X55))) <=> (((~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))) | (~p8(X53, X55))))), rewrite((((~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55))) | (~p8(X53, X55))) <=> ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))), (((p8(f17(X52, X53), f17(X54, X55)) | (~p8(X52, X54))) | (~p8(X53, X55))) <=> ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(84,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((p8(f17(X52, X53), f17(X54, X55)) | (~p8(X52, X54))) | (~p8(X53, X55))) <=> ![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[83])).
% 0.12/0.39 tff(85,axiom,(![X53: $i, X55: $i, X52: $i, X54: $i] : ((p8(f17(X52, X53), f17(X54, X55)) | (~p8(X52, X54))) | (~p8(X53, X55)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_33')).
% 0.12/0.39 tff(86,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.12/0.39 tff(87,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.12/0.39 tff(88,plain,(
% 0.12/0.39 ![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[87])).
% 0.12/0.39 tff(89,plain,
% 0.12/0.39 (![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.12/0.39 tff(90,plain,
% 0.12/0.39 (((~![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))) | ((~p8(c27, c27)) | (~p8(c28, c28)) | p8(f17(c28, c27), f17(c28, c27)))) <=> ((~![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))) | (~p8(c27, c27)) | (~p8(c28, c28)) | p8(f17(c28, c27), f17(c28, c27)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(91,plain,
% 0.12/0.39 ((~![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))) | ((~p8(c27, c27)) | (~p8(c28, c28)) | p8(f17(c28, c27), f17(c28, c27)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(92,plain,
% 0.12/0.39 ((~![X53: $i, X55: $i, X52: $i, X54: $i] : ((~p8(X53, X55)) | (~p8(X52, X54)) | p8(f17(X52, X53), f17(X54, X55)))) | (~p8(c27, c27)) | (~p8(c28, c28)) | p8(f17(c28, c27), f17(c28, c27))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.12/0.39 tff(93,plain,
% 0.12/0.39 ((~p8(c27, c27)) | (~p8(c28, c28)) | p8(f17(c28, c27), f17(c28, c27))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[92, 89])).
% 0.12/0.39 tff(94,plain,
% 0.12/0.39 ((~p8(c27, c27)) | p8(f17(c28, c27), f17(c28, c27))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[93, 79])).
% 0.12/0.39 tff(95,plain,
% 0.12/0.39 (p8(f17(c28, c27), f17(c28, c27))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[94, 62])).
% 0.12/0.39 tff(96,plain,
% 0.12/0.39 (((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p8(f17(c28, c27), f17(c28, c27))) | (~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27))))) <=> ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | (~p8(f17(c28, c27), f17(c28, c27))) | (~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(97,plain,
% 0.12/0.39 ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | ((~p8(f17(c28, c27), f17(c28, c27))) | (~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(98,plain,
% 0.12/0.40 ((~![X39: $i, X42: $i, X41: $i, X40: $i] : ((~p8(X40, X42)) | (~p11(X39, X41)) | p8(f12(X39, X40), f12(X41, X42)))) | (~p8(f17(c28, c27), f17(c28, c27))) | (~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.12/0.40 tff(99,plain,
% 0.12/0.40 ((~p8(f17(c28, c27), f17(c28, c27))) | (~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[98, 30])).
% 0.12/0.40 tff(100,plain,
% 0.12/0.40 ((~p11(f13(c23), f13(c23))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[99, 95])).
% 0.12/0.40 tff(101,plain,
% 0.12/0.40 (p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[100, 51])).
% 0.12/0.40 tff(102,plain,
% 0.12/0.40 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(103,plain,
% 0.12/0.40 (((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))) <=> ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(104,plain,
% 0.12/0.40 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27))))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[103])).
% 0.12/0.40 tff(105,plain,
% 0.12/0.40 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[104, 102])).
% 0.12/0.40 tff(106,plain,
% 0.12/0.40 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27)))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(107,plain,
% 0.12/0.40 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), f16(c27, f17(c28, c27))))) | p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27))) | (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c23), f17(c28, c27))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.12/0.40 tff(108,plain,
% 0.12/0.40 (p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[107, 72, 101, 47])).
% 0.12/0.40 tff(109,plain,
% 0.12/0.40 ((~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28))) <=> (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(110,axiom,(~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p8_26')).
% 0.12/0.40 tff(111,plain,
% 0.12/0.40 (~p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.12/0.40 tff(112,plain,
% 0.12/0.40 (((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28)))) <=> ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(113,plain,
% 0.12/0.40 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | ((~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28)))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(114,plain,
% 0.12/0.40 ((~![X38: $i, X37: $i, X36: $i] : ((~p8(X36, X37)) | (~p8(X36, X38)) | p8(X37, X38))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c23), f17(c28, c27)))) | (~p8(f12(f13(c26), f16(c27, f17(c28, c27))), f12(f13(c26), c28))) | p8(f12(f13(c23), f17(c28, c27)), f12(f13(c26), c28))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.12/0.40 tff(115,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[114, 72, 111, 108, 38])).
% 0.12/0.40 % SZS output end Proof
% 0.12/0.40 % E exiting
%------------------------------------------------------------------------------