%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN708-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:39:52 AM UTC 2025
% Result : Unsatisfiable 196.50s 196.77s
% Output : Proof 196.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN708-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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 12:40:39 EDT 2025
% 0.12/0.33 % CPUTime :
% 196.50/196.77 % SZS status Unsatisfiable
% 196.50/196.77 % SZS output start Proof
% 196.50/196.77 tff(p39_type, type, (
% 196.50/196.77 p39: ( $i * $i ) > $o)).
% 196.50/196.77 tff(f19_type, type, (
% 196.50/196.77 f19: $i > $i)).
% 196.50/196.77 tff(f11_type, type, (
% 196.50/196.77 f11: $i > $i)).
% 196.50/196.77 tff(f13_type, type, (
% 196.50/196.77 f13: ( $i * $i ) > $i)).
% 196.50/196.77 tff(f14_type, type, (
% 196.50/196.77 f14: ( $i * $i ) > $i)).
% 196.50/196.77 tff(f5_type, type, (
% 196.50/196.77 f5: $i > $i)).
% 196.50/196.77 tff(c44_type, type, (
% 196.50/196.77 c44: $i)).
% 196.50/196.77 tff(f6_type, type, (
% 196.50/196.77 f6: $i > $i)).
% 196.50/196.77 tff(f7_type, type, (
% 196.50/196.77 f7: $i > $i)).
% 196.50/196.77 tff(f15_type, type, (
% 196.50/196.77 f15: $i > $i)).
% 196.50/196.77 tff(c56_type, type, (
% 196.50/196.77 c56: $i)).
% 196.50/196.77 tff(p37_type, type, (
% 196.50/196.77 p37: ( $i * $i ) > $o)).
% 196.50/196.77 tff(p10_type, type, (
% 196.50/196.77 p10: ( $i * $i ) > $o)).
% 196.50/196.77 tff(c48_type, type, (
% 196.50/196.77 c48: $i)).
% 196.50/196.77 tff(p38_type, type, (
% 196.50/196.77 p38: $i > $o)).
% 196.50/196.77 tff(p16_type, type, (
% 196.50/196.77 p16: ( $i * $i ) > $o)).
% 196.50/196.77 tff(p9_type, type, (
% 196.50/196.77 p9: ( $i * $i ) > $o)).
% 196.50/196.77 tff(p2_type, type, (
% 196.50/196.77 p2: ( $i * $i ) > $o)).
% 196.50/196.77 tff(p12_type, type, (
% 196.50/196.77 p12: ( $i * $i ) > $o)).
% 196.50/196.77 tff(f28_type, type, (
% 196.50/196.77 f28: $i > $i)).
% 196.50/196.77 tff(1,assumption,(~p10(c56, c56)), introduced(assumption)).
% 196.50/196.77 tff(2,plain,
% 196.50/196.77 (^[X0: $i] : refl(p10(X0, X0) <=> p10(X0, X0))),
% 196.50/196.77 inference(bind,[status(th)],[])).
% 196.50/196.77 tff(3,plain,
% 196.50/196.77 (![X0: $i] : p10(X0, X0) <=> ![X0: $i] : p10(X0, X0)),
% 196.50/196.77 inference(quant_intro,[status(thm)],[2])).
% 196.50/196.77 tff(4,plain,
% 196.50/196.77 (![X0: $i] : p10(X0, X0) <=> ![X0: $i] : p10(X0, X0)),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(5,axiom,(![X0: $i] : p10(X0, X0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p10_3')).
% 196.50/196.77 tff(6,plain,
% 196.50/196.77 (![X0: $i] : p10(X0, X0)),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[5, 4])).
% 196.50/196.77 tff(7,plain,(
% 196.50/196.77 ![X0: $i] : p10(X0, X0)),
% 196.50/196.77 inference(skolemize,[status(sab)],[6])).
% 196.50/196.77 tff(8,plain,
% 196.50/196.77 (![X0: $i] : p10(X0, X0)),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[7, 3])).
% 196.50/196.77 tff(9,plain,
% 196.50/196.77 ((~![X0: $i] : p10(X0, X0)) | p10(c56, c56)),
% 196.50/196.77 inference(quant_inst,[status(thm)],[])).
% 196.50/196.77 tff(10,plain,
% 196.50/196.77 ($false),
% 196.50/196.77 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 196.50/196.77 tff(11,plain,(p10(c56, c56)), inference(lemma,lemma(discharge,[]))).
% 196.50/196.77 tff(12,plain,
% 196.50/196.77 (^[X6: $i, X5: $i] : refl(((~p10(X5, X6)) | p10(f15(X5), f15(X6))) <=> ((~p10(X5, X6)) | p10(f15(X5), f15(X6))))),
% 196.50/196.77 inference(bind,[status(th)],[])).
% 196.50/196.77 tff(13,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6))) <=> ![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(quant_intro,[status(thm)],[12])).
% 196.50/196.77 tff(14,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6))) <=> ![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(15,plain,
% 196.50/196.77 (^[X6: $i, X5: $i] : rewrite((p10(f15(X5), f15(X6)) | (~p10(X5, X6))) <=> ((~p10(X5, X6)) | p10(f15(X5), f15(X6))))),
% 196.50/196.77 inference(bind,[status(th)],[])).
% 196.50/196.77 tff(16,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : (p10(f15(X5), f15(X6)) | (~p10(X5, X6))) <=> ![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(quant_intro,[status(thm)],[15])).
% 196.50/196.77 tff(17,axiom,(![X6: $i, X5: $i] : (p10(f15(X5), f15(X6)) | (~p10(X5, X6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p10_35')).
% 196.50/196.77 tff(18,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[17, 16])).
% 196.50/196.77 tff(19,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[18, 14])).
% 196.50/196.77 tff(20,plain,(
% 196.50/196.77 ![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(skolemize,[status(sab)],[19])).
% 196.50/196.77 tff(21,plain,
% 196.50/196.77 (![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[20, 13])).
% 196.50/196.77 tff(22,plain,
% 196.50/196.77 (((~![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))) | ((~p10(c56, c56)) | p10(f15(c56), f15(c56)))) <=> ((~![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))) | (~p10(c56, c56)) | p10(f15(c56), f15(c56)))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(23,plain,
% 196.50/196.77 ((~![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))) | ((~p10(c56, c56)) | p10(f15(c56), f15(c56)))),
% 196.50/196.77 inference(quant_inst,[status(thm)],[])).
% 196.50/196.77 tff(24,plain,
% 196.50/196.77 ((~![X6: $i, X5: $i] : ((~p10(X5, X6)) | p10(f15(X5), f15(X6)))) | (~p10(c56, c56)) | p10(f15(c56), f15(c56))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[23, 22])).
% 196.50/196.77 tff(25,plain,
% 196.50/196.77 ((~p10(c56, c56)) | p10(f15(c56), f15(c56))),
% 196.50/196.77 inference(unit_resolution,[status(thm)],[24, 21])).
% 196.50/196.77 tff(26,plain,
% 196.50/196.77 (p10(f15(c56), f15(c56))),
% 196.50/196.77 inference(unit_resolution,[status(thm)],[25, 11])).
% 196.50/196.77 tff(27,plain,
% 196.50/196.77 (p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) <=> p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(28,axiom,(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p10_66')).
% 196.50/196.77 tff(29,plain,
% 196.50/196.77 (p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[28, 27])).
% 196.50/196.77 tff(30,plain,
% 196.50/196.77 (^[X96: $i, X93: $i, X95: $i, X94: $i] : refl(((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)) <=> ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)))),
% 196.50/196.77 inference(bind,[status(th)],[])).
% 196.50/196.77 tff(31,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)) <=> ![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(quant_intro,[status(thm)],[30])).
% 196.50/196.77 tff(32,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)) <=> ![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(33,plain,
% 196.50/196.77 (^[X96: $i, X93: $i, X95: $i, X94: $i] : trans(monotonicity(trans(monotonicity(rewrite((p37(X93, X94) | (~p10(X96, X94))) <=> ((~p10(X96, X94)) | p37(X93, X94))), (((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) <=> (((~p10(X96, X94)) | p37(X93, X94)) | (~p37(X95, X96))))), rewrite((((~p10(X96, X94)) | p37(X93, X94)) | (~p37(X95, X96))) <=> ((~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))), (((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) <=> ((~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)))), ((((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) | (~p10(X95, X93))) <=> (((~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)) | (~p10(X95, X93))))), rewrite((((~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94)) | (~p10(X95, X93))) <=> ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))), ((((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) | (~p10(X95, X93))) <=> ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))))),
% 196.50/196.77 inference(bind,[status(th)],[])).
% 196.50/196.77 tff(34,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : (((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) | (~p10(X95, X93))) <=> ![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(quant_intro,[status(thm)],[33])).
% 196.50/196.77 tff(35,axiom,(![X96: $i, X93: $i, X95: $i, X94: $i] : (((p37(X93, X94) | (~p10(X96, X94))) | (~p37(X95, X96))) | (~p10(X95, X93)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p37_51')).
% 196.50/196.77 tff(36,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[35, 34])).
% 196.50/196.77 tff(37,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[36, 32])).
% 196.50/196.77 tff(38,plain,(
% 196.50/196.77 ![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(skolemize,[status(sab)],[37])).
% 196.50/196.77 tff(39,plain,
% 196.50/196.77 (![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[38, 31])).
% 196.50/196.77 tff(40,plain,
% 196.50/196.77 (p37(f15(c56), c48) <=> p37(f15(c56), c48)),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(41,axiom,(p37(f15(c56), c48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p37_13')).
% 196.50/196.77 tff(42,plain,
% 196.50/196.77 (p37(f15(c56), c48)),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[41, 40])).
% 196.50/196.77 tff(43,plain,
% 196.50/196.77 (((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | ((~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> ((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(44,plain,
% 196.50/196.77 (((~p10(f15(c56), f15(c56))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) <=> ((~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.77 inference(rewrite,[status(thm)],[])).
% 196.50/196.77 tff(45,plain,
% 196.50/196.77 (((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | ((~p10(f15(c56), f15(c56))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> ((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | ((~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.77 inference(monotonicity,[status(thm)],[44])).
% 196.50/196.77 tff(46,plain,
% 196.50/196.77 (((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | ((~p10(f15(c56), f15(c56))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> ((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.77 inference(transitivity,[status(thm)],[45, 43])).
% 196.50/196.77 tff(47,plain,
% 196.50/196.77 ((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | ((~p10(f15(c56), f15(c56))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.77 inference(quant_inst,[status(thm)],[])).
% 196.50/196.77 tff(48,plain,
% 196.50/196.77 ((~![X96: $i, X93: $i, X95: $i, X94: $i] : ((~p10(X95, X93)) | (~p10(X96, X94)) | (~p37(X95, X96)) | p37(X93, X94))) | (~p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), c48)) | (~p10(f15(c56), f15(c56))) | p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.77 inference(modus_ponens,[status(thm)],[47, 46])).
% 196.50/196.77 tff(49,plain,
% 196.50/196.77 (p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.77 inference(unit_resolution,[status(thm)],[48, 42, 39, 29, 26])).
% 196.50/196.77 tff(50,plain,
% 196.50/196.77 (^[X27: $i] : refl(((~p38(X27)) | p38(f15(X27))) <=> ((~p38(X27)) | p38(f15(X27))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(51,plain,
% 196.50/196.78 (![X27: $i] : ((~p38(X27)) | p38(f15(X27))) <=> ![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[50])).
% 196.50/196.78 tff(52,plain,
% 196.50/196.78 (![X27: $i] : ((~p38(X27)) | p38(f15(X27))) <=> ![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(53,plain,
% 196.50/196.78 (^[X27: $i] : rewrite((p38(f15(X27)) | (~p38(X27))) <=> ((~p38(X27)) | p38(f15(X27))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(54,plain,
% 196.50/196.78 (![X27: $i] : (p38(f15(X27)) | (~p38(X27))) <=> ![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[53])).
% 196.50/196.78 tff(55,axiom,(![X27: $i] : (p38(f15(X27)) | (~p38(X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p38_15')).
% 196.50/196.78 tff(56,plain,
% 196.50/196.78 (![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[55, 54])).
% 196.50/196.78 tff(57,plain,
% 196.50/196.78 (![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[56, 52])).
% 196.50/196.78 tff(58,plain,(
% 196.50/196.78 ![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[57])).
% 196.50/196.78 tff(59,plain,
% 196.50/196.78 (![X27: $i] : ((~p38(X27)) | p38(f15(X27)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[58, 51])).
% 196.50/196.78 tff(60,plain,
% 196.50/196.78 (p38(c56) <=> p38(c56)),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(61,axiom,(p38(c56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c56_is_p38_1')).
% 196.50/196.78 tff(62,plain,
% 196.50/196.78 (p38(c56)),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[61, 60])).
% 196.50/196.78 tff(63,plain,
% 196.50/196.78 (((~![X27: $i] : ((~p38(X27)) | p38(f15(X27)))) | ((~p38(c56)) | p38(f15(c56)))) <=> ((~![X27: $i] : ((~p38(X27)) | p38(f15(X27)))) | (~p38(c56)) | p38(f15(c56)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(64,plain,
% 196.50/196.78 ((~![X27: $i] : ((~p38(X27)) | p38(f15(X27)))) | ((~p38(c56)) | p38(f15(c56)))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(65,plain,
% 196.50/196.78 ((~![X27: $i] : ((~p38(X27)) | p38(f15(X27)))) | (~p38(c56)) | p38(f15(c56))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[64, 63])).
% 196.50/196.78 tff(66,plain,
% 196.50/196.78 (p38(f15(c56))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[65, 62, 59])).
% 196.50/196.78 tff(67,plain,
% 196.50/196.78 (p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) <=> p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(68,axiom,(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','f11_is_p38_64')).
% 196.50/196.78 tff(69,plain,
% 196.50/196.78 (p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[68, 67])).
% 196.50/196.78 tff(70,plain,
% 196.50/196.78 (^[X91: $i, X92: $i] : refl(((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(71,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92))) <=> ![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[70])).
% 196.50/196.78 tff(72,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92))) <=> ![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(73,plain,
% 196.50/196.78 (^[X91: $i, X92: $i] : trans(monotonicity(trans(monotonicity(rewrite((p39(f19(X91), f19(X92)) | (~p38(X92))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)))), (((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) <=> (((~p38(X92)) | p39(f19(X91), f19(X92))) | (~p38(X91))))), rewrite((((~p38(X92)) | p39(f19(X91), f19(X92))) | (~p38(X91))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)))), (((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91))))), ((((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) | (~p37(X91, X92))) <=> (((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91))) | (~p37(X91, X92))))), rewrite((((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91))) | (~p37(X91, X92))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))), ((((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) | (~p37(X91, X92))) <=> ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(74,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : (((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) | (~p37(X91, X92))) <=> ![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[73])).
% 196.50/196.78 tff(75,axiom,(![X91: $i, X92: $i] : (((p39(f19(X91), f19(X92)) | (~p38(X92))) | (~p38(X91))) | (~p37(X91, X92)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p39_54')).
% 196.50/196.78 tff(76,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[75, 74])).
% 196.50/196.78 tff(77,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[76, 72])).
% 196.50/196.78 tff(78,plain,(
% 196.50/196.78 ![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[77])).
% 196.50/196.78 tff(79,plain,
% 196.50/196.78 (![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[78, 71])).
% 196.50/196.78 tff(80,plain,
% 196.50/196.78 (((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | (~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(81,plain,
% 196.50/196.78 (((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(82,plain,
% 196.50/196.78 (((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))))),
% 196.50/196.78 inference(monotonicity,[status(thm)],[81])).
% 196.50/196.78 tff(83,plain,
% 196.50/196.78 (((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | (~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.78 inference(transitivity,[status(thm)],[82, 80])).
% 196.50/196.78 tff(84,plain,
% 196.50/196.78 ((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | ((~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(85,plain,
% 196.50/196.78 ((~![X91: $i, X92: $i] : ((~p38(X92)) | p39(f19(X91), f19(X92)) | (~p38(X91)) | (~p37(X91, X92)))) | (~p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p38(f15(c56))) | p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[84, 83])).
% 196.50/196.78 tff(86,plain,
% 196.50/196.78 (p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[85, 79, 69, 66, 49])).
% 196.50/196.78 tff(87,assumption,(~p2(f5(c44), f5(c44))), introduced(assumption)).
% 196.50/196.78 tff(88,plain,
% 196.50/196.78 (^[X52: $i] : refl(p2(X52, X52) <=> p2(X52, X52))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(89,plain,
% 196.50/196.78 (![X52: $i] : p2(X52, X52) <=> ![X52: $i] : p2(X52, X52)),
% 196.50/196.78 inference(quant_intro,[status(thm)],[88])).
% 196.50/196.78 tff(90,plain,
% 196.50/196.78 (![X52: $i] : p2(X52, X52) <=> ![X52: $i] : p2(X52, X52)),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(91,axiom,(![X52: $i] : p2(X52, X52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_7')).
% 196.50/196.78 tff(92,plain,
% 196.50/196.78 (![X52: $i] : p2(X52, X52)),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[91, 90])).
% 196.50/196.78 tff(93,plain,(
% 196.50/196.78 ![X52: $i] : p2(X52, X52)),
% 196.50/196.78 inference(skolemize,[status(sab)],[92])).
% 196.50/196.78 tff(94,plain,
% 196.50/196.78 (![X52: $i] : p2(X52, X52)),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[93, 89])).
% 196.50/196.78 tff(95,plain,
% 196.50/196.78 ((~![X52: $i] : p2(X52, X52)) | p2(f5(c44), f5(c44))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(96,plain,
% 196.50/196.78 ($false),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[95, 94, 87])).
% 196.50/196.78 tff(97,plain,(p2(f5(c44), f5(c44))), inference(lemma,lemma(discharge,[]))).
% 196.50/196.78 tff(98,assumption,(~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))), introduced(assumption)).
% 196.50/196.78 tff(99,plain,
% 196.50/196.78 ((~![X52: $i] : p2(X52, X52)) | p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(100,plain,
% 196.50/196.78 ($false),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[99, 94, 98])).
% 196.50/196.78 tff(101,plain,(p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))), inference(lemma,lemma(discharge,[]))).
% 196.50/196.78 tff(102,plain,
% 196.50/196.78 (^[X64: $i, X63: $i] : refl(((~p2(X63, X64)) | p2(f7(X63), f7(X64))) <=> ((~p2(X63, X64)) | p2(f7(X63), f7(X64))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(103,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64))) <=> ![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[102])).
% 196.50/196.78 tff(104,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64))) <=> ![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(105,plain,
% 196.50/196.78 (^[X64: $i, X63: $i] : rewrite((p2(f7(X63), f7(X64)) | (~p2(X63, X64))) <=> ((~p2(X63, X64)) | p2(f7(X63), f7(X64))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(106,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : (p2(f7(X63), f7(X64)) | (~p2(X63, X64))) <=> ![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[105])).
% 196.50/196.78 tff(107,axiom,(![X64: $i, X63: $i] : (p2(f7(X63), f7(X64)) | (~p2(X63, X64)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_23')).
% 196.50/196.78 tff(108,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[107, 106])).
% 196.50/196.78 tff(109,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[108, 104])).
% 196.50/196.78 tff(110,plain,(
% 196.50/196.78 ![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[109])).
% 196.50/196.78 tff(111,plain,
% 196.50/196.78 (![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[110, 103])).
% 196.50/196.78 tff(112,plain,
% 196.50/196.78 (((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | ((~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))) | p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44)))))))) <=> ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | (~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))) | p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44)))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(113,plain,
% 196.50/196.78 ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | ((~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))) | p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44)))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(114,plain,
% 196.50/196.78 ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | (~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))) | p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[113, 112])).
% 196.50/196.78 tff(115,plain,
% 196.50/196.78 ((~p2(f6(f6(f7(f7(c44)))), f6(f6(f7(f7(c44)))))) | p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[114, 111])).
% 196.50/196.78 tff(116,plain,
% 196.50/196.78 (p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[115, 101])).
% 196.50/196.78 tff(117,plain,
% 196.50/196.78 (((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | ((~p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))) | p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44))))))))) <=> ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | (~p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))) | p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44))))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(118,plain,
% 196.50/196.78 ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | ((~p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))) | p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44))))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(119,plain,
% 196.50/196.78 ((~![X64: $i, X63: $i] : ((~p2(X63, X64)) | p2(f7(X63), f7(X64)))) | (~p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))) | p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[118, 117])).
% 196.50/196.78 tff(120,plain,
% 196.50/196.78 ((~p2(f7(f6(f6(f7(f7(c44))))), f7(f6(f6(f7(f7(c44))))))) | p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[119, 111])).
% 196.50/196.78 tff(121,plain,
% 196.50/196.78 (p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[120, 116])).
% 196.50/196.78 tff(122,plain,
% 196.50/196.78 (^[X62: $i, X61: $i] : refl(((~p2(X61, X62)) | p2(f6(X61), f6(X62))) <=> ((~p2(X61, X62)) | p2(f6(X61), f6(X62))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(123,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62))) <=> ![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[122])).
% 196.50/196.78 tff(124,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62))) <=> ![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(125,plain,
% 196.50/196.78 (^[X62: $i, X61: $i] : rewrite((p2(f6(X61), f6(X62)) | (~p2(X61, X62))) <=> ((~p2(X61, X62)) | p2(f6(X61), f6(X62))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(126,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : (p2(f6(X61), f6(X62)) | (~p2(X61, X62))) <=> ![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[125])).
% 196.50/196.78 tff(127,axiom,(![X62: $i, X61: $i] : (p2(f6(X61), f6(X62)) | (~p2(X61, X62)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_24')).
% 196.50/196.78 tff(128,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[127, 126])).
% 196.50/196.78 tff(129,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[128, 124])).
% 196.50/196.78 tff(130,plain,(
% 196.50/196.78 ![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[129])).
% 196.50/196.78 tff(131,plain,
% 196.50/196.78 (![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[130, 123])).
% 196.50/196.78 tff(132,plain,
% 196.50/196.78 (((~![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))) | ((~p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))) | p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44)))))))))) <=> ((~![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))) | (~p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))) | p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44)))))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(133,plain,
% 196.50/196.78 ((~![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))) | ((~p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))) | p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44)))))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(134,plain,
% 196.50/196.78 ((~![X62: $i, X61: $i] : ((~p2(X61, X62)) | p2(f6(X61), f6(X62)))) | (~p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))) | p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[133, 132])).
% 196.50/196.78 tff(135,plain,
% 196.50/196.78 ((~p2(f7(f7(f6(f6(f7(f7(c44)))))), f7(f7(f6(f6(f7(f7(c44)))))))) | p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[134, 131])).
% 196.50/196.78 tff(136,plain,
% 196.50/196.78 (p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[135, 121])).
% 196.50/196.78 tff(137,plain,
% 196.50/196.78 (^[X59: $i, X60: $i] : refl(((~p2(X59, X60)) | p2(f5(X59), f5(X60))) <=> ((~p2(X59, X60)) | p2(f5(X59), f5(X60))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(138,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60))) <=> ![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[137])).
% 196.50/196.78 tff(139,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60))) <=> ![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(140,plain,
% 196.50/196.78 (^[X59: $i, X60: $i] : rewrite((p2(f5(X59), f5(X60)) | (~p2(X59, X60))) <=> ((~p2(X59, X60)) | p2(f5(X59), f5(X60))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(141,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : (p2(f5(X59), f5(X60)) | (~p2(X59, X60))) <=> ![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[140])).
% 196.50/196.78 tff(142,axiom,(![X59: $i, X60: $i] : (p2(f5(X59), f5(X60)) | (~p2(X59, X60)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_25')).
% 196.50/196.78 tff(143,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[142, 141])).
% 196.50/196.78 tff(144,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[143, 139])).
% 196.50/196.78 tff(145,plain,(
% 196.50/196.78 ![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[144])).
% 196.50/196.78 tff(146,plain,
% 196.50/196.78 (![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[145, 138])).
% 196.50/196.78 tff(147,plain,
% 196.50/196.78 (((~![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))) | ((~p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))) | p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44))))))))))) <=> ((~![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))) | (~p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))) | p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44))))))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(148,plain,
% 196.50/196.78 ((~![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))) | ((~p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))) | p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44))))))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(149,plain,
% 196.50/196.78 ((~![X59: $i, X60: $i] : ((~p2(X59, X60)) | p2(f5(X59), f5(X60)))) | (~p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))) | p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[148, 147])).
% 196.50/196.78 tff(150,plain,
% 196.50/196.78 ((~p2(f6(f7(f7(f6(f6(f7(f7(c44))))))), f6(f7(f7(f6(f6(f7(f7(c44))))))))) | p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[149, 146])).
% 196.50/196.78 tff(151,plain,
% 196.50/196.78 (p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[150, 136])).
% 196.50/196.78 tff(152,plain,
% 196.50/196.78 (^[X14: $i, X17: $i, X16: $i, X15: $i] : refl(((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))) <=> ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(153,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[152])).
% 196.50/196.78 tff(154,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(155,plain,
% 196.50/196.78 (^[X14: $i, X17: $i, X16: $i, X15: $i] : trans(monotonicity(rewrite((p12(f14(X14, X15), f14(X16, X17)) | (~p2(X14, X16))) <=> ((~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))), (((p12(f14(X14, X15), f14(X16, X17)) | (~p2(X14, X16))) | (~p2(X15, X17))) <=> (((~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))) | (~p2(X15, X17))))), rewrite((((~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17))) | (~p2(X15, X17))) <=> ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))), (((p12(f14(X14, X15), f14(X16, X17)) | (~p2(X14, X16))) | (~p2(X15, X17))) <=> ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(156,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((p12(f14(X14, X15), f14(X16, X17)) | (~p2(X14, X16))) | (~p2(X15, X17))) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[155])).
% 196.50/196.78 tff(157,axiom,(![X14: $i, X17: $i, X16: $i, X15: $i] : ((p12(f14(X14, X15), f14(X16, X17)) | (~p2(X14, X16))) | (~p2(X15, X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p12_57')).
% 196.50/196.78 tff(158,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[157, 156])).
% 196.50/196.78 tff(159,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[158, 154])).
% 196.50/196.78 tff(160,plain,(
% 196.50/196.78 ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[159])).
% 196.50/196.78 tff(161,plain,
% 196.50/196.78 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[160, 153])).
% 196.50/196.78 tff(162,plain,
% 196.50/196.78 (((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))) | ((~p2(f5(c44), f5(c44))) | (~p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) <=> ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))) | (~p2(f5(c44), f5(c44))) | (~p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(163,plain,
% 196.50/196.78 ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))) | ((~p2(f5(c44), f5(c44))) | (~p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(164,plain,
% 196.50/196.78 ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p2(X15, X17)) | (~p2(X14, X16)) | p12(f14(X14, X15), f14(X16, X17)))) | (~p2(f5(c44), f5(c44))) | (~p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[163, 162])).
% 196.50/196.78 tff(165,plain,
% 196.50/196.78 ((~p2(f5(c44), f5(c44))) | (~p2(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[164, 161])).
% 196.50/196.78 tff(166,plain,
% 196.50/196.78 ((~p2(f5(c44), f5(c44))) | p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[165, 151])).
% 196.50/196.78 tff(167,plain,
% 196.50/196.78 (p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[166, 97])).
% 196.50/196.78 tff(168,plain,
% 196.50/196.78 (^[X118: $i, X119: $i, X116: $i, X117: $i] : refl(((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))) <=> ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(169,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))) <=> ![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[168])).
% 196.50/196.78 tff(170,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))) <=> ![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(171,plain,
% 196.50/196.78 (^[X118: $i, X119: $i, X116: $i, X117: $i] : trans(monotonicity(rewrite((p9(f13(X116, X117), f13(X118, X119)) | (~p12(X117, X119))) <=> ((~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))), (((p9(f13(X116, X117), f13(X118, X119)) | (~p12(X117, X119))) | (~p2(X116, X118))) <=> (((~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))) | (~p2(X116, X118))))), rewrite((((~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119))) | (~p2(X116, X118))) <=> ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))), (((p9(f13(X116, X117), f13(X118, X119)) | (~p12(X117, X119))) | (~p2(X116, X118))) <=> ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(172,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((p9(f13(X116, X117), f13(X118, X119)) | (~p12(X117, X119))) | (~p2(X116, X118))) <=> ![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[171])).
% 196.50/196.78 tff(173,axiom,(![X118: $i, X119: $i, X116: $i, X117: $i] : ((p9(f13(X116, X117), f13(X118, X119)) | (~p12(X117, X119))) | (~p2(X116, X118)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_55')).
% 196.50/196.78 tff(174,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[173, 172])).
% 196.50/196.78 tff(175,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[174, 170])).
% 196.50/196.78 tff(176,plain,(
% 196.50/196.78 ![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[175])).
% 196.50/196.78 tff(177,plain,
% 196.50/196.78 (![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[176, 169])).
% 196.50/196.78 tff(178,plain,
% 196.50/196.78 (((~![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))) | ((~p2(f5(c44), f5(c44))) | (~p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))) | p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) <=> ((~![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))) | (~p2(f5(c44), f5(c44))) | (~p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))) | p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(179,plain,
% 196.50/196.78 ((~![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))) | ((~p2(f5(c44), f5(c44))) | (~p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))) | p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(180,plain,
% 196.50/196.78 ((~![X118: $i, X119: $i, X116: $i, X117: $i] : ((~p2(X116, X118)) | (~p12(X117, X119)) | p9(f13(X116, X117), f13(X118, X119)))) | (~p2(f5(c44), f5(c44))) | (~p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))) | p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[179, 178])).
% 196.50/196.78 tff(181,plain,
% 196.50/196.78 ((~p2(f5(c44), f5(c44))) | (~p12(f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))) | p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[180, 177])).
% 196.50/196.78 tff(182,plain,
% 196.50/196.78 (p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[181, 167, 97])).
% 196.50/196.78 tff(183,plain,
% 196.50/196.78 (^[X4: $i, X3: $i] : refl(((~p9(X3, X4)) | p10(f11(X3), f11(X4))) <=> ((~p9(X3, X4)) | p10(f11(X3), f11(X4))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(184,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4))) <=> ![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[183])).
% 196.50/196.78 tff(185,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4))) <=> ![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(186,plain,
% 196.50/196.78 (^[X4: $i, X3: $i] : rewrite((p10(f11(X3), f11(X4)) | (~p9(X3, X4))) <=> ((~p9(X3, X4)) | p10(f11(X3), f11(X4))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(187,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : (p10(f11(X3), f11(X4)) | (~p9(X3, X4))) <=> ![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(quant_intro,[status(thm)],[186])).
% 196.50/196.78 tff(188,axiom,(![X4: $i, X3: $i] : (p10(f11(X3), f11(X4)) | (~p9(X3, X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p10_20')).
% 196.50/196.78 tff(189,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[188, 187])).
% 196.50/196.78 tff(190,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[189, 185])).
% 196.50/196.78 tff(191,plain,(
% 196.50/196.78 ![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(skolemize,[status(sab)],[190])).
% 196.50/196.78 tff(192,plain,
% 196.50/196.78 (![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[191, 184])).
% 196.50/196.78 tff(193,plain,
% 196.50/196.78 (((~![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))) | ((~p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) | p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> ((~![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))) | (~p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) | p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.78 inference(rewrite,[status(thm)],[])).
% 196.50/196.78 tff(194,plain,
% 196.50/196.78 ((~![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))) | ((~p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) | p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.78 inference(quant_inst,[status(thm)],[])).
% 196.50/196.78 tff(195,plain,
% 196.50/196.78 ((~![X4: $i, X3: $i] : ((~p9(X3, X4)) | p10(f11(X3), f11(X4)))) | (~p9(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))), f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) | p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(modus_ponens,[status(thm)],[194, 193])).
% 196.50/196.78 tff(196,plain,
% 196.50/196.78 (p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))),
% 196.50/196.78 inference(unit_resolution,[status(thm)],[195, 192, 182])).
% 196.50/196.78 tff(197,plain,
% 196.50/196.78 (^[X25: $i, X26: $i] : refl(((~p10(X25, X26)) | p16(f19(X25), f19(X26))) <=> ((~p10(X25, X26)) | p16(f19(X25), f19(X26))))),
% 196.50/196.78 inference(bind,[status(th)],[])).
% 196.50/196.78 tff(198,plain,
% 196.50/196.78 (![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26))) <=> ![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[197])).
% 196.50/196.79 tff(199,plain,
% 196.50/196.79 (![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26))) <=> ![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(200,plain,
% 196.50/196.79 (^[X25: $i, X26: $i] : rewrite((p16(f19(X25), f19(X26)) | (~p10(X25, X26))) <=> ((~p10(X25, X26)) | p16(f19(X25), f19(X26))))),
% 196.50/196.79 inference(bind,[status(th)],[])).
% 196.50/196.79 tff(201,plain,
% 196.50/196.79 (![X25: $i, X26: $i] : (p16(f19(X25), f19(X26)) | (~p10(X25, X26))) <=> ![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[200])).
% 196.50/196.79 tff(202,axiom,(![X25: $i, X26: $i] : (p16(f19(X25), f19(X26)) | (~p10(X25, X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p16_32')).
% 196.50/196.79 tff(203,plain,
% 196.50/196.79 (![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[202, 201])).
% 196.50/196.79 tff(204,plain,
% 196.50/196.79 (![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[203, 199])).
% 196.50/196.79 tff(205,plain,(
% 196.50/196.79 ![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(skolemize,[status(sab)],[204])).
% 196.50/196.79 tff(206,plain,
% 196.50/196.79 (![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[205, 198])).
% 196.50/196.79 tff(207,plain,
% 196.50/196.79 (((~![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))) | ((~p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))) | (~p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(208,plain,
% 196.50/196.79 ((~![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))) | ((~p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.79 inference(quant_inst,[status(thm)],[])).
% 196.50/196.79 tff(209,plain,
% 196.50/196.79 ((~![X25: $i, X26: $i] : ((~p10(X25, X26)) | p16(f19(X25), f19(X26)))) | (~p10(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[208, 207])).
% 196.50/196.79 tff(210,plain,
% 196.50/196.79 (p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.79 inference(unit_resolution,[status(thm)],[209, 206, 196])).
% 196.50/196.79 tff(211,plain,
% 196.50/196.79 (^[X27: $i] : refl(((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27)))) <=> ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27)))))),
% 196.50/196.79 inference(bind,[status(th)],[])).
% 196.50/196.79 tff(212,plain,
% 196.50/196.79 (![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27)))) <=> ![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[211])).
% 196.50/196.79 tff(213,plain,
% 196.50/196.79 (![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27)))) <=> ![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(214,plain,
% 196.50/196.79 (^[X27: $i] : rewrite((p16(f19(f15(X27)), f28(f19(X27))) | (~p38(X27))) <=> ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27)))))),
% 196.50/196.79 inference(bind,[status(th)],[])).
% 196.50/196.79 tff(215,plain,
% 196.50/196.79 (![X27: $i] : (p16(f19(f15(X27)), f28(f19(X27))) | (~p38(X27))) <=> ![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[214])).
% 196.50/196.79 tff(216,axiom,(![X27: $i] : (p16(f19(f15(X27)), f28(f19(X27))) | (~p38(X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p16_36')).
% 196.50/196.79 tff(217,plain,
% 196.50/196.79 (![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[216, 215])).
% 196.50/196.79 tff(218,plain,
% 196.50/196.79 (![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[217, 213])).
% 196.50/196.79 tff(219,plain,(
% 196.50/196.79 ![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(skolemize,[status(sab)],[218])).
% 196.50/196.79 tff(220,plain,
% 196.50/196.79 (![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[219, 212])).
% 196.50/196.79 tff(221,plain,
% 196.50/196.79 (((~![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))) | ((~p38(c56)) | p16(f19(f15(c56)), f28(f19(c56))))) <=> ((~![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))) | (~p38(c56)) | p16(f19(f15(c56)), f28(f19(c56))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(222,plain,
% 196.50/196.79 ((~![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))) | ((~p38(c56)) | p16(f19(f15(c56)), f28(f19(c56))))),
% 196.50/196.79 inference(quant_inst,[status(thm)],[])).
% 196.50/196.79 tff(223,plain,
% 196.50/196.79 ((~![X27: $i] : ((~p38(X27)) | p16(f19(f15(X27)), f28(f19(X27))))) | (~p38(c56)) | p16(f19(f15(c56)), f28(f19(c56)))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[222, 221])).
% 196.50/196.79 tff(224,plain,
% 196.50/196.79 (p16(f19(f15(c56)), f28(f19(c56)))),
% 196.50/196.79 inference(unit_resolution,[status(thm)],[223, 62, 220])).
% 196.50/196.79 tff(225,plain,
% 196.50/196.79 ((~p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> (~p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(226,axiom,(~p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p39_69')).
% 196.50/196.79 tff(227,plain,
% 196.50/196.79 (~p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[226, 225])).
% 196.50/196.79 tff(228,plain,
% 196.50/196.79 (^[X99: $i, X100: $i, X101: $i, X102: $i] : refl(((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)) <=> ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)))),
% 196.50/196.79 inference(bind,[status(th)],[])).
% 196.50/196.79 tff(229,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)) <=> ![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[228])).
% 196.50/196.79 tff(230,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)) <=> ![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(231,plain,
% 196.50/196.79 (^[X99: $i, X100: $i, X101: $i, X102: $i] : trans(monotonicity(trans(monotonicity(rewrite((p39(X99, X100) | (~p16(X102, X100))) <=> ((~p16(X102, X100)) | p39(X99, X100))), (((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) <=> (((~p16(X102, X100)) | p39(X99, X100)) | (~p39(X101, X102))))), rewrite((((~p16(X102, X100)) | p39(X99, X100)) | (~p39(X101, X102))) <=> ((~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))), (((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) <=> ((~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)))), ((((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) | (~p16(X101, X99))) <=> (((~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)) | (~p16(X101, X99))))), rewrite((((~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100)) | (~p16(X101, X99))) <=> ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))), ((((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) | (~p16(X101, X99))) <=> ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))))),
% 196.50/196.79 inference(bind,[status(th)],[])).
% 196.50/196.79 tff(232,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : (((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) | (~p16(X101, X99))) <=> ![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(quant_intro,[status(thm)],[231])).
% 196.50/196.79 tff(233,axiom,(![X99: $i, X100: $i, X101: $i, X102: $i] : (((p39(X99, X100) | (~p16(X102, X100))) | (~p39(X101, X102))) | (~p16(X101, X99)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p39_52')).
% 196.50/196.79 tff(234,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[233, 232])).
% 196.50/196.79 tff(235,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[234, 230])).
% 196.50/196.79 tff(236,plain,(
% 196.50/196.79 ![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(skolemize,[status(sab)],[235])).
% 196.50/196.79 tff(237,plain,
% 196.50/196.79 (![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))),
% 196.50/196.79 inference(modus_ponens,[status(thm)],[236, 229])).
% 196.50/196.79 tff(238,plain,
% 196.50/196.79 (((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | (p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))))) <=> ((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(239,plain,
% 196.50/196.79 (((~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) <=> (p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))))),
% 196.50/196.79 inference(rewrite,[status(thm)],[])).
% 196.50/196.79 tff(240,plain,
% 196.50/196.79 (((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | ((~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | (p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))))),
% 196.50/196.79 inference(monotonicity,[status(thm)],[239])).
% 196.50/196.79 tff(241,plain,
% 196.50/196.79 (((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | ((~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))) <=> ((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))))),
% 196.69/196.92 inference(transitivity,[status(thm)],[240, 238])).
% 196.69/196.92 tff(242,plain,
% 196.69/196.92 ((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | ((~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.69/196.92 inference(quant_inst,[status(thm)],[])).
% 196.69/196.92 tff(243,plain,
% 196.69/196.92 ((~![X99: $i, X100: $i, X101: $i, X102: $i] : ((~p16(X101, X99)) | (~p39(X101, X102)) | (~p16(X102, X100)) | p39(X99, X100))) | p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))) | (~p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))))) | (~p16(f19(f15(c56)), f28(f19(c56)))) | (~p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))))),
% 196.69/196.92 inference(modus_ponens,[status(thm)],[242, 241])).
% 196.69/196.92 tff(244,plain,
% 196.69/196.92 ($false),
% 196.69/196.92 inference(unit_resolution,[status(thm)],[243, 237, 227, 224, 210, 86])).
% 196.69/196.92 % SZS output end Proof
% 196.78/197.02 % E exiting
%------------------------------------------------------------------------------