%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN595-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:39:39 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN595-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 20 12:38:05 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(p7_type, type, (
% 0.12/0.38 p7: ( $i * $i ) > $o)).
% 0.12/0.38 tff(f10_type, type, (
% 0.12/0.38 f10: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c18_type, type, (
% 0.12/0.38 c18: $i)).
% 0.12/0.38 tff(f12_type, type, (
% 0.12/0.38 f12: $i > $i)).
% 0.12/0.38 tff(f11_type, type, (
% 0.12/0.38 f11: $i > $i)).
% 0.12/0.38 tff(f3_type, type, (
% 0.12/0.38 f3: $i > $i)).
% 0.12/0.38 tff(f5_type, type, (
% 0.12/0.38 f5: $i > $i)).
% 0.12/0.38 tff(c17_type, type, (
% 0.12/0.38 c17: $i)).
% 0.12/0.38 tff(f8_type, type, (
% 0.12/0.38 f8: ( $i * $i ) > $i)).
% 0.12/0.38 tff(f9_type, type, (
% 0.12/0.38 f9: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c22_type, type, (
% 0.12/0.38 c22: $i)).
% 0.12/0.38 tff(f4_type, type, (
% 0.12/0.38 f4: $i > $i)).
% 0.12/0.38 tff(c19_type, type, (
% 0.12/0.38 c19: $i)).
% 0.12/0.38 tff(f6_type, type, (
% 0.12/0.38 f6: ( $i * $i ) > $i)).
% 0.12/0.38 tff(f13_type, type, (
% 0.12/0.38 f13: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c16_type, type, (
% 0.12/0.38 c16: $i)).
% 0.12/0.38 tff(p2_type, type, (
% 0.12/0.38 p2: ( $i * $i ) > $o)).
% 0.12/0.38 tff(p15_type, type, (
% 0.12/0.38 p15: ( $i * $i ) > $o)).
% 0.12/0.38 tff(p14_type, type, (
% 0.12/0.38 p14: ( $i * $i ) > $o)).
% 0.12/0.38 tff(c21_type, type, (
% 0.12/0.38 c21: $i)).
% 0.12/0.38 tff(1,assumption,(~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), introduced(assumption)).
% 0.12/0.38 tff(2,assumption,(~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), introduced(assumption)).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (^[X27: $i] : refl(p7(X27, X27) <=> p7(X27, X27))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (![X27: $i] : p7(X27, X27) <=> ![X27: $i] : p7(X27, X27)),
% 0.12/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (![X27: $i] : p7(X27, X27) <=> ![X27: $i] : p7(X27, X27)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(6,axiom,(![X27: $i] : p7(X27, X27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_2')).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (![X27: $i] : p7(X27, X27)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.12/0.38 tff(8,plain,(
% 0.12/0.38 ![X27: $i] : p7(X27, X27)),
% 0.12/0.38 inference(skolemize,[status(sab)],[7])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (![X27: $i] : p7(X27, X27)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 ((~![X27: $i] : p7(X27, X27)) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.12/0.38 tff(12,plain,(p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(13,assumption,(~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))), introduced(assumption)).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 ((~![X27: $i] : p7(X27, X27)) | p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[14, 9, 13])).
% 0.12/0.38 tff(16,plain,(p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(17,assumption,(~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))), introduced(assumption)).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 ((~![X27: $i] : p7(X27, X27)) | p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[18, 9, 17])).
% 0.12/0.38 tff(20,plain,(p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))) <=> p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(22,axiom,(p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p2_17')).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (^[X35: $i, X34: $i] : refl(((~p2(X34, X35)) | p7(f11(X34), f11(X35))) <=> ((~p2(X34, X35)) | p7(f11(X34), f11(X35))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35))) <=> ![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35))) <=> ![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (^[X35: $i, X34: $i] : rewrite((p7(f11(X34), f11(X35)) | (~p2(X34, X35))) <=> ((~p2(X34, X35)) | p7(f11(X34), f11(X35))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : (p7(f11(X34), f11(X35)) | (~p2(X34, X35))) <=> ![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.12/0.38 tff(29,axiom,(![X35: $i, X34: $i] : (p7(f11(X34), f11(X35)) | (~p2(X34, X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_13')).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.12/0.38 tff(32,plain,(
% 0.12/0.38 ![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[31])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (((~![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))) | ((~p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))) | p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))))) <=> ((~![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))) | (~p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))) | p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 ((~![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))) | ((~p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))) | p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 ((~![X35: $i, X34: $i] : ((~p2(X34, X35)) | p7(f11(X34), f11(X35)))) | (~p2(c19, f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17)))))) | p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 (p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[36, 33, 23])).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 (^[X43: $i, X42: $i, X45: $i, X44: $i] : refl(((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45))) <=> ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(39,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45))) <=> ![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45))) <=> ![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 (^[X43: $i, X42: $i, X45: $i, X44: $i] : trans(monotonicity(rewrite((p7(f9(X42, X43), f9(X44, X45)) | (~p7(X42, X44))) <=> ((~p7(X42, X44)) | p7(f9(X42, X43), f9(X44, X45)))), (((p7(f9(X42, X43), f9(X44, X45)) | (~p7(X42, X44))) | (~p7(X43, X45))) <=> (((~p7(X42, X44)) | p7(f9(X42, X43), f9(X44, X45))) | (~p7(X43, X45))))), rewrite((((~p7(X42, X44)) | p7(f9(X42, X43), f9(X44, X45))) | (~p7(X43, X45))) <=> ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))), (((p7(f9(X42, X43), f9(X44, X45)) | (~p7(X42, X44))) | (~p7(X43, X45))) <=> ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(42,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((p7(f9(X42, X43), f9(X44, X45)) | (~p7(X42, X44))) | (~p7(X43, X45))) <=> ![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[41])).
% 0.12/0.38 tff(43,axiom,(![X43: $i, X42: $i, X45: $i, X44: $i] : ((p7(f9(X42, X43), f9(X44, X45)) | (~p7(X42, X44))) | (~p7(X43, X45)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_21')).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.12/0.38 tff(46,plain,(
% 0.12/0.38 ![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[45])).
% 0.12/0.38 tff(47,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.12/0.38 tff(48,plain,
% 0.12/0.38 (((~![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))) | ((~p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))) | (~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))) | p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) <=> ((~![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))) | (~p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))) | (~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))) | p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(49,plain,
% 0.12/0.38 ((~![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))) | ((~p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))) | (~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))) | p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 ((~![X43: $i, X42: $i, X45: $i, X44: $i] : ((~p7(X42, X44)) | (~p7(X43, X45)) | p7(f9(X42, X43), f9(X44, X45)))) | (~p7(f11(c19), f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))))) | (~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))) | p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 ((~p7(f10(f11(f3(f4(f5(c17)))), c22), f10(f11(f3(f4(f5(c17)))), c22))) | p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[50, 47, 37])).
% 0.12/0.38 tff(52,plain,
% 0.12/0.38 (p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[51, 20])).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 (^[X39: $i, X38: $i, X41: $i, X40: $i] : refl(((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41))) <=> ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(54,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41))) <=> ![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[53])).
% 0.12/0.38 tff(55,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41))) <=> ![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 (^[X39: $i, X38: $i, X41: $i, X40: $i] : trans(monotonicity(rewrite((p7(f8(X38, X39), f8(X40, X41)) | (~p7(X38, X40))) <=> ((~p7(X38, X40)) | p7(f8(X38, X39), f8(X40, X41)))), (((p7(f8(X38, X39), f8(X40, X41)) | (~p7(X38, X40))) | (~p7(X39, X41))) <=> (((~p7(X38, X40)) | p7(f8(X38, X39), f8(X40, X41))) | (~p7(X39, X41))))), rewrite((((~p7(X38, X40)) | p7(f8(X38, X39), f8(X40, X41))) | (~p7(X39, X41))) <=> ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))), (((p7(f8(X38, X39), f8(X40, X41)) | (~p7(X38, X40))) | (~p7(X39, X41))) <=> ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(57,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((p7(f8(X38, X39), f8(X40, X41)) | (~p7(X38, X40))) | (~p7(X39, X41))) <=> ![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[56])).
% 0.12/0.38 tff(58,axiom,(![X39: $i, X38: $i, X41: $i, X40: $i] : ((p7(f8(X38, X39), f8(X40, X41)) | (~p7(X38, X40))) | (~p7(X39, X41)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_22')).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.12/0.38 tff(61,plain,(
% 0.12/0.38 ![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[60])).
% 0.12/0.39 tff(62,plain,
% 0.12/0.39 (![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.12/0.39 tff(63,plain,
% 0.12/0.39 (((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | ((~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))) | (~p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))))) <=> ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | (~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))) | (~p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(64,plain,
% 0.12/0.39 ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | ((~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))) | (~p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(65,plain,
% 0.12/0.39 ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | (~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))) | (~p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.39 tff(66,plain,
% 0.12/0.39 ((~p7(f10(f11(f3(f4(f5(c17)))), f3(c17)), f10(f11(f3(f4(f5(c17)))), f3(c17)))) | (~p7(f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[65, 62])).
% 0.12/0.39 tff(67,plain,
% 0.12/0.39 (p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[66, 52, 16])).
% 0.12/0.39 tff(68,plain,
% 0.12/0.39 (^[X27: $i, X29: $i, X28: $i] : refl((p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28))) <=> (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(69,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28))) <=> ![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[68])).
% 0.12/0.39 tff(70,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28))) <=> ![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(71,plain,
% 0.12/0.39 (^[X27: $i, X29: $i, X28: $i] : trans(monotonicity(rewrite((p7(X28, X29) | (~p7(X27, X28))) <=> (p7(X28, X29) | (~p7(X27, X28)))), (((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29))) <=> ((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29))))), rewrite(((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29))) <=> (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))), (((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29))) <=> (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(72,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : ((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29))) <=> ![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[71])).
% 0.12/0.39 tff(73,axiom,(![X27: $i, X29: $i, X28: $i] : ((p7(X28, X29) | (~p7(X27, X28))) | (~p7(X27, X29)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_15')).
% 0.12/0.39 tff(74,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.12/0.39 tff(75,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.12/0.39 tff(76,plain,(
% 0.12/0.39 ![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[75])).
% 0.12/0.39 tff(77,plain,
% 0.12/0.39 (![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.12/0.39 tff(78,plain,
% 0.12/0.39 (((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | ((~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))) <=> ((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(79,plain,
% 0.12/0.39 ((p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))))) <=> ((~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(80,plain,
% 0.12/0.39 (((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | ((~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[79])).
% 0.12/0.39 tff(81,plain,
% 0.12/0.39 (((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[80, 78])).
% 0.12/0.40 tff(82,plain,
% 0.12/0.40 ((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(83,plain,
% 0.12/0.40 ((~![X27: $i, X29: $i, X28: $i] : (p7(X28, X29) | (~p7(X27, X29)) | (~p7(X27, X28)))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.12/0.40 tff(84,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[83, 77, 67, 12, 1])).
% 0.12/0.40 tff(85,plain,(p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.40 tff(86,plain,
% 0.12/0.40 (p14(c19, f6(f3(f4(f5(c17))), c16)) <=> p14(c19, f6(f3(f4(f5(c17))), c16))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(87,axiom,(p14(c19, f6(f3(f4(f5(c17))), c16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p14_8')).
% 0.12/0.40 tff(88,plain,
% 0.12/0.40 (p14(c19, f6(f3(f4(f5(c17))), c16))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.12/0.40 tff(89,plain,
% 0.12/0.40 (^[X4: $i, X5: $i] : refl(((~p14(X4, X5)) | p15(X4, X5)) <=> ((~p14(X4, X5)) | p15(X4, X5)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(90,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5)) <=> ![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[89])).
% 0.12/0.40 tff(91,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5)) <=> ![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(92,plain,
% 0.12/0.40 (^[X4: $i, X5: $i] : rewrite((p15(X4, X5) | (~p14(X4, X5))) <=> ((~p14(X4, X5)) | p15(X4, X5)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(93,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : (p15(X4, X5) | (~p14(X4, X5))) <=> ![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[92])).
% 0.12/0.40 tff(94,axiom,(![X4: $i, X5: $i] : (p15(X4, X5) | (~p14(X4, X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p15_6')).
% 0.12/0.40 tff(95,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.12/0.40 tff(96,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.12/0.40 tff(97,plain,(
% 0.12/0.40 ![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(skolemize,[status(sab)],[96])).
% 0.12/0.40 tff(98,plain,
% 0.12/0.40 (![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[97, 90])).
% 0.12/0.40 tff(99,plain,
% 0.12/0.40 (((~![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))) | ((~p14(c19, f6(f3(f4(f5(c17))), c16))) | p15(c19, f6(f3(f4(f5(c17))), c16)))) <=> ((~![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))) | (~p14(c19, f6(f3(f4(f5(c17))), c16))) | p15(c19, f6(f3(f4(f5(c17))), c16)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(100,plain,
% 0.12/0.40 ((~![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))) | ((~p14(c19, f6(f3(f4(f5(c17))), c16))) | p15(c19, f6(f3(f4(f5(c17))), c16)))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(101,plain,
% 0.12/0.40 ((~![X4: $i, X5: $i] : ((~p14(X4, X5)) | p15(X4, X5))) | (~p14(c19, f6(f3(f4(f5(c17))), c16))) | p15(c19, f6(f3(f4(f5(c17))), c16))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.12/0.40 tff(102,plain,
% 0.12/0.40 (p15(c19, f6(f3(f4(f5(c17))), c16))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[101, 98, 88])).
% 0.12/0.40 tff(103,plain,
% 0.12/0.40 (^[X12: $i, X11: $i, X10: $i] : refl(((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12)) <=> ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(104,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12)) <=> ![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[103])).
% 0.12/0.40 tff(105,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12)) <=> ![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(106,plain,
% 0.12/0.40 (^[X12: $i, X11: $i, X10: $i] : trans(monotonicity(rewrite((p2(X11, X12) | (~p2(X10, X11))) <=> ((~p2(X10, X11)) | p2(X11, X12))), (((p2(X11, X12) | (~p2(X10, X11))) | (~p2(X10, X12))) <=> (((~p2(X10, X11)) | p2(X11, X12)) | (~p2(X10, X12))))), rewrite((((~p2(X10, X11)) | p2(X11, X12)) | (~p2(X10, X12))) <=> ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))), (((p2(X11, X12) | (~p2(X10, X11))) | (~p2(X10, X12))) <=> ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(107,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((p2(X11, X12) | (~p2(X10, X11))) | (~p2(X10, X12))) <=> ![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[106])).
% 0.12/0.40 tff(108,axiom,(![X12: $i, X11: $i, X10: $i] : ((p2(X11, X12) | (~p2(X10, X11))) | (~p2(X10, X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p2_16')).
% 0.12/0.40 tff(109,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.12/0.40 tff(110,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.12/0.40 tff(111,plain,(
% 0.12/0.40 ![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(skolemize,[status(sab)],[110])).
% 0.12/0.40 tff(112,plain,
% 0.12/0.40 (![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.12/0.40 tff(113,plain,
% 0.12/0.40 (p2(c21, f3(c17)) <=> p2(c21, f3(c17))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(114,axiom,(p2(c21, f3(c17))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p2_3')).
% 0.12/0.40 tff(115,plain,
% 0.12/0.40 (p2(c21, f3(c17))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.12/0.40 tff(116,plain,
% 0.12/0.40 (((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | ((~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))) <=> ((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(117,plain,
% 0.12/0.40 (((~p2(c21, f3(c17))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17))) <=> ((~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(118,plain,
% 0.12/0.40 (((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | ((~p2(c21, f3(c17))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))) <=> ((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | ((~p2(c21, f3(c17))) | p2(f3(c17), f3(c17))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[117])).
% 0.12/0.40 tff(119,plain,
% 0.12/0.40 (((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | ((~p2(c21, f3(c17))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))) <=> ((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))),
% 0.12/0.40 inference(transitivity,[status(thm)],[118, 116])).
% 0.12/0.40 tff(120,plain,
% 0.12/0.40 ((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | ((~p2(c21, f3(c17))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17)))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(121,plain,
% 0.12/0.40 ((~![X12: $i, X11: $i, X10: $i] : ((~p2(X10, X11)) | (~p2(X10, X12)) | p2(X11, X12))) | (~p2(c21, f3(c17))) | p2(f3(c17), f3(c17))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.12/0.40 tff(122,plain,
% 0.12/0.40 (p2(f3(c17), f3(c17))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[121, 115, 112])).
% 0.12/0.40 tff(123,plain,
% 0.12/0.40 (^[X47: $i, X46: $i, X48: $i] : refl(((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))) <=> ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(124,plain,
% 0.12/0.40 (![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))) <=> ![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[123])).
% 0.12/0.40 tff(125,plain,
% 0.12/0.40 (![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))) <=> ![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(126,plain,
% 0.19/0.41 (^[X47: $i, X46: $i, X48: $i] : trans(monotonicity(rewrite((((~p2(X48, f3(c17))) | (~p14(X46, f3(f4(f5(c17)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16)))) <=> ((~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))), (((((~p2(X48, f3(c17))) | (~p14(X46, f3(f4(f5(c17)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> (((~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22))))))))), rewrite((((~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))), (((((~p2(X48, f3(c17))) | (~p14(X46, f3(f4(f5(c17)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(127,plain,
% 0.19/0.41 (![X47: $i, X46: $i, X48: $i] : ((((~p2(X48, f3(c17))) | (~p14(X46, f3(f4(f5(c17)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[126])).
% 0.19/0.41 tff(128,axiom,(![X47: $i, X46: $i, X48: $i] : ((((~p2(X48, f3(c17))) | (~p14(X46, f3(f4(f5(c17)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16)))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_p2_26')).
% 0.19/0.41 tff(129,plain,
% 0.19/0.41 (![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.19/0.41 tff(130,plain,
% 0.19/0.41 (![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[129, 125])).
% 0.19/0.41 tff(131,plain,(
% 0.19/0.41 ![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[130])).
% 0.19/0.41 tff(132,plain,
% 0.19/0.41 (![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[131, 124])).
% 0.19/0.41 tff(133,plain,
% 0.19/0.41 (p14(c18, f3(f4(f5(c17)))) <=> p14(c18, f3(f4(f5(c17))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(134,axiom,(p14(c18, f3(f4(f5(c17))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p14_5')).
% 0.19/0.41 tff(135,plain,
% 0.19/0.41 (p14(c18, f3(f4(f5(c17))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.19/0.41 tff(136,plain,
% 0.19/0.41 (((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | ((~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))))) <=> ((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | (~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(137,plain,
% 0.19/0.42 (((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p14(c18, f3(f4(f5(c17))))) | (~p2(f3(c17), f3(c17)))) <=> ((~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(138,plain,
% 0.19/0.42 (((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p14(c18, f3(f4(f5(c17))))) | (~p2(f3(c17), f3(c17))))) <=> ((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | ((~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[137])).
% 0.19/0.42 tff(139,plain,
% 0.19/0.42 (((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p14(c18, f3(f4(f5(c17))))) | (~p2(f3(c17), f3(c17))))) <=> ((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | (~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[138, 136])).
% 0.19/0.42 tff(140,plain,
% 0.19/0.42 ((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p14(c18, f3(f4(f5(c17))))) | (~p2(f3(c17), f3(c17))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(141,plain,
% 0.19/0.42 ((~![X47: $i, X46: $i, X48: $i] : ((~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), X46), f8(f10(f11(f3(f4(f5(c17)))), X48), f9(f11(X47), f10(f11(f3(f4(f5(c17)))), c22)))))) | (~p15(X47, f6(f3(f4(f5(c17))), c16))) | (~p14(X46, f3(f4(f5(c17))))) | (~p2(X48, f3(c17))))) | (~p14(c18, f3(f4(f5(c17))))) | (~p15(c19, f6(f3(f4(f5(c17))), c16))) | (~p2(f3(c17), f3(c17))) | (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.19/0.42 tff(142,plain,
% 0.19/0.42 (~p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[141, 135, 132, 122, 102])).
% 0.19/0.42 tff(143,plain,
% 0.19/0.42 (((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | ((~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))) <=> ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | (~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(144,plain,
% 0.19/0.43 ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | ((~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(145,plain,
% 0.19/0.43 ((~![X39: $i, X38: $i, X41: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X39, X41)) | p7(f8(X38, X39), f8(X40, X41)))) | (~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22))))) | p7(f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22)))), f8(f10(f12(f11(f3(f5(c17)))), c18), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.43 tff(146,plain,
% 0.19/0.43 ((~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))) | (~p7(f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(f6(f3(f4(f5(c17))), f13(c16, f3(f5(c17))))), f10(f11(f3(f4(f5(c17)))), c22))), f8(f10(f11(f3(f4(f5(c17)))), f3(c17)), f9(f11(c19), f10(f11(f3(f4(f5(c17)))), c22)))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[145, 62, 142])).
% 0.19/0.43 tff(147,plain,
% 0.19/0.43 (~p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[146, 85])).
% 0.19/0.43 tff(148,plain,
% 0.19/0.43 ((~![X27: $i] : p7(X27, X27)) | p7(f10(f12(f11(f3(f5(c17)))), c18), f10(f12(f11(f3(f5(c17)))), c18))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(149,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[148, 9, 147])).
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43 % E exiting
%------------------------------------------------------------------------------