TSTP Solution File: SEV204^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV204^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 18:05:21 EDT 2022
% Result : Theorem 43.44s 43.50s
% Output : Proof 43.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV204^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n016.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 : 600
% 0.12/0.33 % DateTime : Mon Jun 27 17:32:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.44/43.50 % SZS status Theorem
% 43.44/43.50 % Mode: mode485
% 43.44/43.50 % Inferences: 145
% 43.44/43.50 % SZS output start Proof
% 43.44/43.50 thf(cS_INCL_LEM4_pme,conjecture,((~(((~(((![X1:iS]:(![X2:iS]:(~((((cP @ X1) @ X2) = c0))))) => (~((![X1:iS]:(![X2:iS]:(![X3:iS]:(![X4:iS]:((((cP @ X1) @ X3) = ((cP @ X2) @ X4)) => (~(((X1 = X2) => (~((X3 = X4)))))))))))))))) => (~((![X1:iS>$o]:((~(((X1 @ c0) => (~((![X2:iS]:(![X3:iS]:((~(((X1 @ X2) => (~((X1 @ X3)))))) => (X1 @ ((cP @ X2) @ X3)))))))))) => ((!!) @ X1)))))))) => (![X1:iS>iS>iS>$o]:((~(((~($false)) => (~((![X2:iS]:(![X3:iS]:(![X4:iS]:(((~((((X2 = c0) => (~((X3 = X4)))) => (~(((X3 = c0) => (~((X2 = X4))))))))) => (~((![X5:iS]:(![X6:iS]:(![X7:iS]:(![X8:iS]:(![X9:iS]:(![X10:iS]:((~(((~(((~(((X2 = ((cP @ X5) @ X6)) => (~((X3 = ((cP @ X7) @ X8))))))) => (~((X4 = ((cP @ X9) @ X10))))))) => (~((((X1 @ X5) @ X7) @ X9)))))) => (~((((X1 @ X6) @ X8) @ X10))))))))))))) => (((X1 @ X2) @ X3) @ X4)))))))))) => (((X1 @ ((cP @ x) @ c0)) @ ((cP @ x) @ y)) @ ((cP @ x) @ y)))))).
% 43.44/43.50 thf(h0,negated_conjecture,(~(((~(((~(((![X1:iS]:(![X2:iS]:(~((((cP @ X1) @ X2) = c0))))) => (~((![X1:iS]:(![X2:iS]:(![X3:iS]:(![X4:iS]:((((cP @ X1) @ X3) = ((cP @ X2) @ X4)) => (~(((X1 = X2) => (~((X3 = X4)))))))))))))))) => (~((![X1:iS>$o]:((~(((X1 @ c0) => (~((![X2:iS]:(![X3:iS]:((~(((X1 @ X2) => (~((X1 @ X3)))))) => (X1 @ ((cP @ X2) @ X3)))))))))) => ((!!) @ X1)))))))) => (![X1:iS>iS>iS>$o]:((~(((~($false)) => (~((![X2:iS]:(![X3:iS]:(![X4:iS]:(((~((((X2 = c0) => (~((X3 = X4)))) => (~(((X3 = c0) => (~((X2 = X4))))))))) => (~((![X5:iS]:(![X6:iS]:(![X7:iS]:(![X8:iS]:(![X9:iS]:(![X10:iS]:((~(((~(((~(((X2 = ((cP @ X5) @ X6)) => (~((X3 = ((cP @ X7) @ X8))))))) => (~((X4 = ((cP @ X9) @ X10))))))) => (~((((X1 @ X5) @ X7) @ X9)))))) => (~((((X1 @ X6) @ X8) @ X10))))))))))))) => (((X1 @ X2) @ X3) @ X4)))))))))) => (((X1 @ ((cP @ x) @ c0)) @ ((cP @ x) @ y)) @ ((cP @ x) @ y))))))),inference(assume_negation,[status(cth)],[cS_INCL_LEM4_pme])).
% 43.44/43.50 thf(ax3143, axiom, (p1|~(p3)), file('<stdin>', ax3143)).
% 43.44/43.50 thf(ax3145, axiom, ~(p1), file('<stdin>', ax3145)).
% 43.44/43.50 thf(ax3140, axiom, (p3|~(p6)), file('<stdin>', ax3140)).
% 43.44/43.50 thf(ax3137, axiom, (p6|~(p9)), file('<stdin>', ax3137)).
% 43.44/43.50 thf(ax3144, axiom, (p1|~(p2)), file('<stdin>', ax3144)).
% 43.44/43.50 thf(pax57, axiom, (p57=>![X1:iS, X2:iS]:((~((((fc0)=(fc0)=>~((X1)=(X2)))=>~(((X1)=(fc0)=>~((fc0)=(X2))))))=>~(![X3:iS, X4:iS, X5:iS, X6:iS, X7:iS, X8:iS]:(~((~((~(((fc0)=(fcP @ X3 @ X4)=>~((X1)=(fcP @ X5 @ X6))))=>~((X2)=(fcP @ X7 @ X8))))=>~(f__0 @ X3 @ X5 @ X7)))=>~(f__0 @ X4 @ X6 @ X8))))=>f__0 @ fc0 @ X1 @ X2)), file('<stdin>', pax57)).
% 43.44/43.50 thf(ax3089, axiom, (~(p14)|p57), file('<stdin>', ax3089)).
% 43.44/43.50 thf(ax3132, axiom, (p9|p14), file('<stdin>', ax3132)).
% 43.44/43.50 thf(ax3136, axiom, (p6|~(p10)), file('<stdin>', ax3136)).
% 43.44/43.50 thf(ax771, axiom, (~(p5)|p2320), file('<stdin>', ax771)).
% 43.44/43.50 thf(ax3141, axiom, (p2|p5), file('<stdin>', ax3141)).
% 43.44/43.50 thf(ax1580, axiom, (~(p96)|p10), file('<stdin>', ax1580)).
% 43.44/43.50 thf(pax2320, axiom, (p2320=>(~((f__0 @ fc0 @ fc0 @ fc0=>~(![X1:iS, X2:iS]:(~((f__0 @ X1 @ X1 @ X1=>~(f__0 @ X2 @ X2 @ X2)))=>f__0 @ (fcP @ X1 @ X2) @ (fcP @ X1 @ X2) @ (fcP @ X1 @ X2)))))=>![X1:iS]:f__0 @ X1 @ X1 @ X1)), file('<stdin>', pax2320)).
% 43.44/43.50 thf(nax96, axiom, (p96<=![X1:iS]:f__0 @ (fcP @ X1 @ fc0) @ (fcP @ X1 @ fy) @ (fcP @ X1 @ fy)), file('<stdin>', nax96)).
% 43.44/43.50 thf(pax14, axiom, (p14=>![X1:iS, X2:iS, X3:iS]:((~((((X1)=(fc0)=>~((X2)=(X3)))=>~(((X2)=(fc0)=>~((X1)=(X3))))))=>~(![X4:iS, X5:iS, X6:iS, X7:iS, X8:iS, X9:iS]:(~((~((~(((X1)=(fcP @ X4 @ X5)=>~((X2)=(fcP @ X6 @ X7))))=>~((X3)=(fcP @ X8 @ X9))))=>~(f__0 @ X4 @ X6 @ X8)))=>~(f__0 @ X5 @ X7 @ X9))))=>f__0 @ X1 @ X2 @ X3)), file('<stdin>', pax14)).
% 43.44/43.50 thf(c_0_15, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax3143])).
% 43.44/43.50 thf(c_0_16, plain, ~p1, inference(fof_simplification,[status(thm)],[ax3145])).
% 43.44/43.50 thf(c_0_17, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax3140])).
% 43.44/43.50 thf(c_0_18, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 43.44/43.50 thf(c_0_19, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_16])).
% 43.44/43.50 thf(c_0_20, plain, (p6|~p9), inference(fof_simplification,[status(thm)],[ax3137])).
% 43.44/43.50 thf(c_0_21, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_17])).
% 43.44/43.50 thf(c_0_22, plain, ~p3, inference(sr,[status(thm)],[c_0_18, c_0_19])).
% 43.44/43.50 thf(c_0_23, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax3144])).
% 43.44/43.50 thf(c_0_24, plain, (p6|~p9), inference(split_conjunct,[status(thm)],[c_0_20])).
% 43.44/43.50 thf(c_0_25, plain, ~p6, inference(sr,[status(thm)],[c_0_21, c_0_22])).
% 43.44/43.50 thf(c_0_26, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_23])).
% 43.44/43.50 thf(c_0_27, plain, ![X9522:iS, X9523:iS, X9524:iS, X9525:iS, X9526:iS, X9527:iS, X9528:iS, X9529:iS]:((((fc0)!=(fc0)|(X9522)!=(X9523)|f__0 @ fc0 @ X9522 @ X9523|~p57)&((X9522)!=(fc0)|(fc0)!=(X9523)|f__0 @ fc0 @ X9522 @ X9523|~p57))&((fc0)!=(fcP @ X9524 @ X9525)|(X9522)!=(fcP @ X9526 @ X9527)|(X9523)!=(fcP @ X9528 @ X9529)|~f__0 @ X9524 @ X9526 @ X9528|~f__0 @ X9525 @ X9527 @ X9529|f__0 @ fc0 @ X9522 @ X9523|~p57)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax57])])])])])).
% 43.44/43.50 thf(c_0_28, plain, (~p14|p57), inference(fof_simplification,[status(thm)],[ax3089])).
% 43.44/43.50 thf(c_0_29, plain, (p9|p14), inference(split_conjunct,[status(thm)],[ax3132])).
% 43.44/43.50 thf(c_0_30, plain, ~p9, inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 43.44/43.50 thf(c_0_31, plain, (p6|~p10), inference(fof_simplification,[status(thm)],[ax3136])).
% 43.44/43.50 thf(c_0_32, plain, (~p5|p2320), inference(fof_simplification,[status(thm)],[ax771])).
% 43.44/43.50 thf(c_0_33, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax3141])).
% 43.44/43.50 thf(c_0_34, plain, ~p2, inference(sr,[status(thm)],[c_0_26, c_0_19])).
% 43.44/43.50 thf(c_0_35, plain, ![X1:iS, X2:iS]:(f__0 @ fc0 @ X1 @ X2|(fc0)!=(fc0)|(X1)!=(X2)|~p57), inference(split_conjunct,[status(thm)],[c_0_27])).
% 43.44/43.50 thf(c_0_36, plain, (p57|~p14), inference(split_conjunct,[status(thm)],[c_0_28])).
% 43.44/43.50 thf(c_0_37, plain, p14, inference(sr,[status(thm)],[c_0_29, c_0_30])).
% 43.44/43.50 thf(c_0_38, plain, (~p96|p10), inference(fof_simplification,[status(thm)],[ax1580])).
% 43.44/43.50 thf(c_0_39, plain, (p6|~p10), inference(split_conjunct,[status(thm)],[c_0_31])).
% 43.44/43.50 thf(c_0_40, plain, ![X2540:iS]:(((f__0 @ esk1265_0 @ esk1265_0 @ esk1265_0|~f__0 @ fc0 @ fc0 @ fc0|f__0 @ X2540 @ X2540 @ X2540|~p2320)&(f__0 @ esk1266_0 @ esk1266_0 @ esk1266_0|~f__0 @ fc0 @ fc0 @ fc0|f__0 @ X2540 @ X2540 @ X2540|~p2320))&(~f__0 @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0)|~f__0 @ fc0 @ fc0 @ fc0|f__0 @ X2540 @ X2540 @ X2540|~p2320)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax2320])])])])])])).
% 43.44/43.50 thf(c_0_41, plain, (p2320|~p5), inference(split_conjunct,[status(thm)],[c_0_32])).
% 43.44/43.50 thf(c_0_42, plain, p5, inference(sr,[status(thm)],[c_0_33, c_0_34])).
% 43.44/43.50 thf(c_0_43, plain, ![X1:iS, X2:iS]:(f__0 @ fc0 @ X1 @ X2|(X1)!=(X2)|~p57), inference(cn,[status(thm)],[c_0_35])).
% 43.44/43.50 thf(c_0_44, plain, p57, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 43.44/43.50 thf(c_0_45, plain, (~f__0 @ (fcP @ esk4708_0 @ fc0) @ (fcP @ esk4708_0 @ fy) @ (fcP @ esk4708_0 @ fy)|p96), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax96])])])])).
% 43.44/43.50 thf(c_0_46, plain, (p10|~p96), inference(split_conjunct,[status(thm)],[c_0_38])).
% 43.44/43.50 thf(c_0_47, plain, ~p10, inference(sr,[status(thm)],[c_0_39, c_0_25])).
% 43.44/43.50 thf(c_0_48, plain, ![X9766:iS, X9767:iS, X9768:iS, X9769:iS, X9770:iS, X9771:iS, X9772:iS, X9773:iS, X9774:iS]:((((X9766)!=(fc0)|(X9767)!=(X9768)|f__0 @ X9766 @ X9767 @ X9768|~p14)&((X9767)!=(fc0)|(X9766)!=(X9768)|f__0 @ X9766 @ X9767 @ X9768|~p14))&((X9766)!=(fcP @ X9769 @ X9770)|(X9767)!=(fcP @ X9771 @ X9772)|(X9768)!=(fcP @ X9773 @ X9774)|~f__0 @ X9769 @ X9771 @ X9773|~f__0 @ X9770 @ X9772 @ X9774|f__0 @ X9766 @ X9767 @ X9768|~p14)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax14])])])])])).
% 43.44/43.50 thf(c_0_49, plain, ![X1:iS]:(f__0 @ esk1266_0 @ esk1266_0 @ esk1266_0|f__0 @ X1 @ X1 @ X1|~f__0 @ fc0 @ fc0 @ fc0|~p2320), inference(split_conjunct,[status(thm)],[c_0_40])).
% 43.44/43.50 thf(c_0_50, plain, p2320, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 43.44/43.50 thf(c_0_51, plain, ![X1:iS]:f__0 @ fc0 @ X1 @ X1, inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])])).
% 43.44/43.50 thf(c_0_52, plain, ![X1:iS]:(f__0 @ esk1265_0 @ esk1265_0 @ esk1265_0|f__0 @ X1 @ X1 @ X1|~f__0 @ fc0 @ fc0 @ fc0|~p2320), inference(split_conjunct,[status(thm)],[c_0_40])).
% 43.44/43.50 thf(c_0_53, plain, (p96|~f__0 @ (fcP @ esk4708_0 @ fc0) @ (fcP @ esk4708_0 @ fy) @ (fcP @ esk4708_0 @ fy)), inference(split_conjunct,[status(thm)],[c_0_45])).
% 43.44/43.50 thf(c_0_54, plain, ~p96, inference(sr,[status(thm)],[c_0_46, c_0_47])).
% 43.44/43.50 thf(c_0_55, plain, ![X1:iS, X2:iS, X4:iS, X5:iS, X3:iS, X7:iS, X6:iS, X8:iS, X9:iS]:(f__0 @ X1 @ X4 @ X7|(X1)!=(fcP @ X2 @ X3)|(X4)!=(fcP @ X5 @ X6)|(X7)!=(fcP @ X8 @ X9)|~f__0 @ X2 @ X5 @ X8|~f__0 @ X3 @ X6 @ X9|~p14), inference(split_conjunct,[status(thm)],[c_0_48])).
% 43.44/43.50 thf(c_0_56, plain, ![X1:iS]:(f__0 @ X1 @ X1 @ X1|~f__0 @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0)|~f__0 @ fc0 @ fc0 @ fc0|~p2320), inference(split_conjunct,[status(thm)],[c_0_40])).
% 43.44/43.50 thf(c_0_57, plain, ![X1:iS]:(f__0 @ esk1266_0 @ esk1266_0 @ esk1266_0|f__0 @ X1 @ X1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
% 43.44/43.50 thf(c_0_58, plain, ![X1:iS]:(f__0 @ esk1265_0 @ esk1265_0 @ esk1265_0|f__0 @ X1 @ X1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_50]), c_0_51])])).
% 43.44/43.50 thf(c_0_59, plain, ~f__0 @ (fcP @ esk4708_0 @ fc0) @ (fcP @ esk4708_0 @ fy) @ (fcP @ esk4708_0 @ fy), inference(sr,[status(thm)],[c_0_53, c_0_54])).
% 43.44/43.50 thf(c_0_60, plain, ![X2:iS, X1:iS, X4:iS, X3:iS, X6:iS, X5:iS]:(f__0 @ (fcP @ X1 @ X2) @ (fcP @ X3 @ X4) @ (fcP @ X5 @ X6)|~f__0 @ X2 @ X4 @ X6|~f__0 @ X1 @ X3 @ X5), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_37])])])])])).
% 43.44/43.50 thf(c_0_61, plain, ![X1:iS]:(f__0 @ X1 @ X1 @ X1|~f__0 @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0) @ (fcP @ esk1265_0 @ esk1266_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_50]), c_0_51])])).
% 43.44/43.50 thf(c_0_62, plain, f__0 @ esk1266_0 @ esk1266_0 @ esk1266_0, inference(ef,[status(thm)],[c_0_57])).
% 43.44/43.50 thf(c_0_63, plain, f__0 @ esk1265_0 @ esk1265_0 @ esk1265_0, inference(ef,[status(thm)],[c_0_58])).
% 43.44/43.50 thf(c_0_64, plain, ~f__0 @ esk4708_0 @ esk4708_0 @ esk4708_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_51])])).
% 43.44/43.50 thf(c_0_65, plain, ![X1:iS]:f__0 @ X1 @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_60]), c_0_62]), c_0_63])])).
% 43.44/43.50 thf(c_0_66, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])]), ['proof']).
% 43.44/43.50 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 43.44/43.50 thf(0,theorem,((~(((~(((![X1:iS]:(![X2:iS]:(~((((cP @ X1) @ X2) = c0))))) => (~((![X1:iS]:(![X2:iS]:(![X3:iS]:(![X4:iS]:((((cP @ X1) @ X3) = ((cP @ X2) @ X4)) => (~(((X1 = X2) => (~((X3 = X4)))))))))))))))) => (~((![X1:iS>$o]:((~(((X1 @ c0) => (~((![X2:iS]:(![X3:iS]:((~(((X1 @ X2) => (~((X1 @ X3)))))) => (X1 @ ((cP @ X2) @ X3)))))))))) => ((!!) @ X1)))))))) => (![X1:iS>iS>iS>$o]:((~(((~($false)) => (~((![X2:iS]:(![X3:iS]:(![X4:iS]:(((~((((X2 = c0) => (~((X3 = X4)))) => (~(((X3 = c0) => (~((X2 = X4))))))))) => (~((![X5:iS]:(![X6:iS]:(![X7:iS]:(![X8:iS]:(![X9:iS]:(![X10:iS]:((~(((~(((~(((X2 = ((cP @ X5) @ X6)) => (~((X3 = ((cP @ X7) @ X8))))))) => (~((X4 = ((cP @ X9) @ X10))))))) => (~((((X1 @ X5) @ X7) @ X9)))))) => (~((((X1 @ X6) @ X8) @ X10))))))))))))) => (((X1 @ X2) @ X3) @ X4)))))))))) => (((X1 @ ((cP @ x) @ c0)) @ ((cP @ x) @ y)) @ ((cP @ x) @ y))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 43.44/43.50 % SZS output end Proof
%------------------------------------------------------------------------------