%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN598-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN598-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 12:42:20 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(f11_type, type, (
% 0.12/0.38 f11: ( $i * $i ) > $i)).
% 0.12/0.38 tff(f12_type, type, (
% 0.12/0.38 f12: $i > $i)).
% 0.12/0.38 tff(f13_type, type, (
% 0.12/0.38 f13: $i > $i)).
% 0.12/0.38 tff(c23_type, type, (
% 0.12/0.38 c23: $i)).
% 0.12/0.38 tff(f14_type, type, (
% 0.12/0.38 f14: $i > $i)).
% 0.12/0.38 tff(f15_type, type, (
% 0.12/0.38 f15: $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(f6_type, type, (
% 0.12/0.38 f6: $i > $i)).
% 0.12/0.38 tff(c21_type, type, (
% 0.12/0.38 c21: $i)).
% 0.12/0.38 tff(p3_type, type, (
% 0.12/0.38 p3: ( $i * $i ) > $o)).
% 0.12/0.38 tff(p19_type, type, (
% 0.12/0.38 p19: ( $i * $i ) > $o)).
% 0.12/0.38 tff(f8_type, type, (
% 0.12/0.38 f8: $i > $i)).
% 0.12/0.38 tff(f9_type, type, (
% 0.12/0.38 f9: $i > $i)).
% 0.12/0.38 tff(p18_type, type, (
% 0.12/0.38 p18: $i > $o)).
% 0.12/0.38 tff(1,assumption,(~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (^[X34: $i] : refl(p7(X34, X34) <=> p7(X34, X34))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (![X34: $i] : p7(X34, X34) <=> ![X34: $i] : p7(X34, X34)),
% 0.12/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (![X34: $i] : p7(X34, X34) <=> ![X34: $i] : p7(X34, X34)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,axiom,(![X34: $i] : p7(X34, X34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_3')).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (![X34: $i] : p7(X34, X34)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.38 tff(7,plain,(
% 0.12/0.38 ![X34: $i] : p7(X34, X34)),
% 0.12/0.38 inference(skolemize,[status(sab)],[6])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![X34: $i] : p7(X34, X34)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 ((~![X34: $i] : p7(X34, X34)) | p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.12/0.38 tff(11,plain,(p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(12,assumption,(~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))), introduced(assumption)).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 ((~![X34: $i] : p7(X34, X34)) | p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[13, 8, 12])).
% 0.12/0.38 tff(15,plain,(p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (^[X43: $i, X42: $i, X41: $i, X44: $i] : refl(((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44))) <=> ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44))) <=> ![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[16])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44))) <=> ![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (^[X43: $i, X42: $i, X41: $i, X44: $i] : trans(monotonicity(rewrite((p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44))) <=> ((~p3(X42, X44)) | p7(f11(X41, X42), f11(X43, X44)))), (((p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44))) | (~p7(X41, X43))) <=> (((~p3(X42, X44)) | p7(f11(X41, X42), f11(X43, X44))) | (~p7(X41, X43))))), rewrite((((~p3(X42, X44)) | p7(f11(X41, X42), f11(X43, X44))) | (~p7(X41, X43))) <=> ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))), (((p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44))) | (~p7(X41, X43))) <=> ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44))) | (~p7(X41, X43))) <=> ![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.12/0.38 tff(21,axiom,(![X43: $i, X42: $i, X41: $i, X44: $i] : ((p7(f11(X41, X42), f11(X43, X44)) | (~p3(X42, X44))) | (~p7(X41, X43)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_25')).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.12/0.38 tff(24,plain,(
% 0.12/0.38 ![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[23])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (p3(f4(f6(c21)), c22) <=> p3(f4(f6(c21)), c22)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(27,axiom,(p3(f4(f6(c21)), c22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p3_7')).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (p3(f4(f6(c21)), c22)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 (((~![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))) | ((~p3(f4(f6(c21)), c22)) | (~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))) | p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)))) <=> ((~![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))) | (~p3(f4(f6(c21)), c22)) | (~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))) | p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 ((~![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))) | ((~p3(f4(f6(c21)), c22)) | (~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))) | p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 ((~![X43: $i, X42: $i, X41: $i, X44: $i] : ((~p3(X42, X44)) | (~p7(X41, X43)) | p7(f11(X41, X42), f11(X43, X44)))) | (~p3(f4(f6(c21)), c22)) | (~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))) | p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 ((~p7(f14(f12(f15(f13(c23)))), f14(f12(f15(f13(c23)))))) | p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[31, 28, 25])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[32, 15])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (^[X39: $i, X38: $i, X37: $i, X40: $i] : refl(((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40))) <=> ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40))) <=> ![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40))) <=> ![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 (^[X39: $i, X38: $i, X37: $i, X40: $i] : trans(monotonicity(rewrite((p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40))) <=> ((~p7(X38, X40)) | p7(f10(X37, X38), f10(X39, X40)))), (((p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40))) | (~p7(X37, X39))) <=> (((~p7(X38, X40)) | p7(f10(X37, X38), f10(X39, X40))) | (~p7(X37, X39))))), rewrite((((~p7(X38, X40)) | p7(f10(X37, X38), f10(X39, X40))) | (~p7(X37, X39))) <=> ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))), (((p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40))) | (~p7(X37, X39))) <=> ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40))) | (~p7(X37, X39))) <=> ![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[37])).
% 0.12/0.38 tff(39,axiom,(![X39: $i, X38: $i, X37: $i, X40: $i] : ((p7(f10(X37, X38), f10(X39, X40)) | (~p7(X38, X40))) | (~p7(X37, X39)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_26')).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.12/0.38 tff(42,plain,(
% 0.12/0.38 ![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[41])).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[42, 35])).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 (((~![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))) | ((~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | (~p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))) | p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))))) <=> ((~![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))) | (~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | (~p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))) | p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 ((~![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))) | ((~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | (~p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))) | p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 ((~![X39: $i, X38: $i, X37: $i, X40: $i] : ((~p7(X38, X40)) | (~p7(X37, X39)) | p7(f10(X37, X38), f10(X39, X40)))) | (~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | (~p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))) | p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 ((~p7(f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | (~p7(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), c22))) | p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[46, 43])).
% 0.12/0.39 tff(48,plain,
% 0.12/0.39 (p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[47, 33, 11])).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 (^[X8: $i] : refl(((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8)))) <=> ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 (![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8)))) <=> ![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[49])).
% 0.12/0.39 tff(51,plain,
% 0.12/0.39 (![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8)))) <=> ![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 (^[X8: $i] : rewrite((p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))) | (~p18(X8))) <=> ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 (![X8: $i] : (p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))) | (~p18(X8))) <=> ![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.12/0.39 tff(54,axiom,(![X8: $i] : (p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))) | (~p18(X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p19_28')).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.12/0.39 tff(56,plain,
% 0.12/0.39 (![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.12/0.39 tff(57,plain,(
% 0.12/0.39 ![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(skolemize,[status(sab)],[56])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 (![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 (p18(c21) <=> p18(c21)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(60,axiom,(p18(c21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c21_is_p18_2')).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 (p18(c21)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.12/0.39 tff(62,plain,
% 0.12/0.39 (((~![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))) | ((~p18(c21)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))) <=> ((~![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))) | (~p18(c21)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(63,plain,
% 0.12/0.39 ((~![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))) | ((~p18(c21)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(64,plain,
% 0.12/0.39 ((~![X8: $i] : ((~p18(X8)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(X8))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(X8))))) | (~p18(c21)) | p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.12/0.39 tff(65,plain,
% 0.12/0.39 (p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[64, 61, 58])).
% 0.12/0.39 tff(66,assumption,(~p7(f9(c21), f9(c21))), introduced(assumption)).
% 0.12/0.39 tff(67,plain,
% 0.12/0.39 ((~![X34: $i] : p7(X34, X34)) | p7(f9(c21), f9(c21))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(68,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[67, 8, 66])).
% 0.12/0.39 tff(69,plain,(p7(f9(c21), f9(c21))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(70,plain,
% 0.12/0.39 (^[X47: $i, X48: $i] : refl(((~p7(X47, X48)) | p7(f8(X47), f8(X48))) <=> ((~p7(X47, X48)) | p7(f8(X47), f8(X48))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(71,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48))) <=> ![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[70])).
% 0.12/0.39 tff(72,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48))) <=> ![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(73,plain,
% 0.12/0.39 (^[X47: $i, X48: $i] : rewrite((p7(f8(X47), f8(X48)) | (~p7(X47, X48))) <=> ((~p7(X47, X48)) | p7(f8(X47), f8(X48))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(74,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : (p7(f8(X47), f8(X48)) | (~p7(X47, X48))) <=> ![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[73])).
% 0.12/0.39 tff(75,axiom,(![X47: $i, X48: $i] : (p7(f8(X47), f8(X48)) | (~p7(X47, X48)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_18')).
% 0.12/0.39 tff(76,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.12/0.39 tff(77,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.12/0.39 tff(78,plain,(
% 0.12/0.39 ![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[77])).
% 0.12/0.39 tff(79,plain,
% 0.12/0.39 (![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.12/0.39 tff(80,plain,
% 0.12/0.39 (((~![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))) | ((~p7(f9(c21), f9(c21))) | p7(f8(f9(c21)), f8(f9(c21))))) <=> ((~![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))) | (~p7(f9(c21), f9(c21))) | p7(f8(f9(c21)), f8(f9(c21))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(81,plain,
% 0.12/0.39 ((~![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))) | ((~p7(f9(c21), f9(c21))) | p7(f8(f9(c21)), f8(f9(c21))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(82,plain,
% 0.12/0.39 ((~![X47: $i, X48: $i] : ((~p7(X47, X48)) | p7(f8(X47), f8(X48)))) | (~p7(f9(c21), f9(c21))) | p7(f8(f9(c21)), f8(f9(c21)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.12/0.39 tff(83,plain,
% 0.12/0.39 ((~p7(f9(c21), f9(c21))) | p7(f8(f9(c21)), f8(f9(c21)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[82, 79])).
% 0.12/0.39 tff(84,plain,
% 0.12/0.39 (p7(f8(f9(c21)), f8(f9(c21)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[83, 69])).
% 0.12/0.39 tff(85,plain,
% 0.12/0.39 ((~p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))) <=> (~p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(86,axiom,(~p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_p19_27')).
% 0.12/0.39 tff(87,plain,
% 0.12/0.39 (~p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.12/0.39 tff(88,plain,
% 0.12/0.39 (^[X6: $i, X4: $i, X7: $i, X5: $i] : refl(((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5)) <=> ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(89,plain,
% 0.12/0.39 (![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5)) <=> ![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[88])).
% 0.12/0.39 tff(90,plain,
% 0.12/0.39 (![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5)) <=> ![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(91,plain,
% 0.12/0.39 (^[X6: $i, X4: $i, X7: $i, X5: $i] : trans(monotonicity(trans(monotonicity(rewrite((p19(X4, X5) | (~p7(X6, X4))) <=> ((~p7(X6, X4)) | p19(X4, X5))), (((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) <=> (((~p7(X6, X4)) | p19(X4, X5)) | (~p7(X7, X5))))), rewrite((((~p7(X6, X4)) | p19(X4, X5)) | (~p7(X7, X5))) <=> ((~p7(X7, X5)) | (~p7(X6, X4)) | p19(X4, X5))), (((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) <=> ((~p7(X7, X5)) | (~p7(X6, X4)) | p19(X4, X5)))), ((((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) | (~p19(X6, X7))) <=> (((~p7(X7, X5)) | (~p7(X6, X4)) | p19(X4, X5)) | (~p19(X6, X7))))), rewrite((((~p7(X7, X5)) | (~p7(X6, X4)) | p19(X4, X5)) | (~p19(X6, X7))) <=> ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))), ((((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) | (~p19(X6, X7))) <=> ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(92,plain,
% 0.12/0.39 (![X6: $i, X4: $i, X7: $i, X5: $i] : (((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) | (~p19(X6, X7))) <=> ![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[91])).
% 0.12/0.40 tff(93,axiom,(![X6: $i, X4: $i, X7: $i, X5: $i] : (((p19(X4, X5) | (~p7(X6, X4))) | (~p7(X7, X5))) | (~p19(X6, X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p19_23')).
% 0.12/0.40 tff(94,plain,
% 0.12/0.40 (![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.12/0.40 tff(95,plain,
% 0.12/0.40 (![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.12/0.40 tff(96,plain,(
% 0.12/0.40 ![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.40 inference(skolemize,[status(sab)],[95])).
% 0.12/0.40 tff(97,plain,
% 0.12/0.40 (![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.12/0.40 tff(98,plain,
% 0.12/0.40 (((~![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))) | ((~p7(f8(f9(c21)), f8(f9(c21)))) | (~p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))) | (~p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))) | p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))) <=> ((~![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))) | (~p7(f8(f9(c21)), f8(f9(c21)))) | (~p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))) | (~p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))) | p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(99,plain,
% 0.12/0.40 ((~![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))) | ((~p7(f8(f9(c21)), f8(f9(c21)))) | (~p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))) | (~p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))) | p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(100,plain,
% 0.12/0.40 ((~![X6: $i, X4: $i, X7: $i, X5: $i] : ((~p7(X7, X5)) | (~p19(X6, X7)) | (~p7(X6, X4)) | p19(X4, X5))) | (~p7(f8(f9(c21)), f8(f9(c21)))) | (~p19(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))) | (~p7(f10(f11(f14(f12(f15(f13(c23)))), f4(f6(c21))), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))) | p19(f10(f11(f14(f12(f15(f13(c23)))), c22), f11(f14(f12(f15(f13(c23)))), f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))), f8(f9(c21)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.12/0.40 tff(101,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[100, 97, 87, 84, 65, 48])).
% 0.12/0.40 % SZS output end Proof
% 0.12/0.40 % E exiting
%------------------------------------------------------------------------------