TSTP Solution File: SEV199^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV199^5 : 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 : n021.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 18:05:19 EDT 2022
% Result : Theorem 37.54s 37.72s
% Output : Proof 37.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV199^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 27 23:27:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 37.54/37.72 % SZS status Theorem
% 37.54/37.72 % Mode: mode485
% 37.54/37.72 % Inferences: 153
% 37.54/37.72 % SZS output start Proof
% 37.54/37.72 thf(cS_INCL_LEM3_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]:((~(((~($false)) => (~((![X2:iS]:(![X3:iS]:(![X4:iS]:(((~((((X2 = c0) => (~((X3 = X4)))) => (~(((X3 = c0) => (~((X2 = X4))))))))) => (~((![X5:iS]:(![X6:iS]:(![X7:iS]:(![X8:iS]:(![X9:iS]:(![X10:iS]:((~(((~(((~(((X2 = ((cP @ X5) @ X6)) => (~((X3 = ((cP @ X7) @ X8))))))) => (~((X4 = ((cP @ X9) @ X10))))))) => (~((((X1 @ X5) @ X7) @ X9)))))) => (~((((X1 @ X6) @ X8) @ X10))))))))))))) => (((X1 @ X2) @ X3) @ X4)))))))))) => (((X1 @ x) @ x) @ x))))).
% 37.54/37.72 thf(h0,negated_conjecture,(~(((~(((~(((![X1:iS]:(![X2:iS]:(~((((cP @ X1) @ X2) = c0))))) => (~((![X1:iS]:(![X2:iS]:(![X3:iS]:(![X4:iS]:((((cP @ X1) @ X3) = ((cP @ X2) @ X4)) => (~(((X1 = X2) => (~((X3 = X4)))))))))))))))) => (~((![X1:iS>$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 @ x) @ x) @ x)))))),inference(assume_negation,[status(cth)],[cS_INCL_LEM3_pme])).
% 37.54/37.72 thf(ax970, axiom, (p1|~(p3)), file('<stdin>', ax970)).
% 37.54/37.72 thf(ax972, axiom, ~(p1), file('<stdin>', ax972)).
% 37.54/37.72 thf(ax967, axiom, (p3|~(p6)), file('<stdin>', ax967)).
% 37.54/37.72 thf(ax971, axiom, (p1|~(p2)), file('<stdin>', ax971)).
% 37.54/37.72 thf(nax6, axiom, (p6<=(~((~(~$true)=>~(![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))))=>f__0 @ fx @ fx @ fx)), file('<stdin>', nax6)).
% 37.54/37.72 thf(nax56, axiom, (p56<=![X1:iS]:~(f__0 @ fx @ fx @ fx)), file('<stdin>', nax56)).
% 37.54/37.72 thf(ax956, axiom, (~(p5)|p17), file('<stdin>', ax956)).
% 37.54/37.72 thf(ax968, axiom, (p2|p5), file('<stdin>', ax968)).
% 37.54/37.72 thf(ax692, axiom, (~(p56)|~(p10)), file('<stdin>', ax692)).
% 37.54/37.72 thf(ax934, axiom, (~(p17)|p39|p40), file('<stdin>', ax934)).
% 37.54/37.72 thf(ax755, axiom, (~(p40)|p10), file('<stdin>', ax755)).
% 37.54/37.72 thf(pax39, axiom, (p39=>(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))))), file('<stdin>', pax39)).
% 37.54/37.72 thf(c_0_12, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax970])).
% 37.54/37.72 thf(c_0_13, plain, ~p1, inference(fof_simplification,[status(thm)],[ax972])).
% 37.54/37.72 thf(c_0_14, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax967])).
% 37.54/37.72 thf(c_0_15, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 37.54/37.72 thf(c_0_16, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_13])).
% 37.54/37.72 thf(c_0_17, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax971])).
% 37.54/37.72 thf(c_0_18, plain, ![X3885:iS, X3886:iS, X3887:iS, X3888:iS, X3889:iS, X3890:iS, X3891:iS, X3892:iS, X3893:iS]:(((((X3885)!=(fc0)|(X3886)!=(X3887)|f__0 @ X3885 @ X3886 @ X3887|p6)&((X3886)!=(fc0)|(X3885)!=(X3887)|f__0 @ X3885 @ X3886 @ X3887|p6))&((X3885)!=(fcP @ X3888 @ X3889)|(X3886)!=(fcP @ X3890 @ X3891)|(X3887)!=(fcP @ X3892 @ X3893)|~f__0 @ X3888 @ X3890 @ X3892|~f__0 @ X3889 @ X3891 @ X3893|f__0 @ X3885 @ X3886 @ X3887|p6))&(~f__0 @ fx @ fx @ fx|p6)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax6])])])])])).
% 37.54/37.72 thf(c_0_19, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_14])).
% 37.54/37.72 thf(c_0_20, plain, ~p3, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 37.54/37.72 thf(c_0_21, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_17])).
% 37.54/37.72 thf(c_0_22, plain, (f__0 @ fx @ fx @ fx|p56), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax56])])).
% 37.54/37.72 thf(c_0_23, plain, (p6|~f__0 @ fx @ fx @ fx), inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.54/37.72 thf(c_0_24, plain, ~p6, inference(sr,[status(thm)],[c_0_19, c_0_20])).
% 37.54/37.72 thf(c_0_25, plain, (~p5|p17), inference(fof_simplification,[status(thm)],[ax956])).
% 37.54/37.72 thf(c_0_26, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax968])).
% 37.54/37.72 thf(c_0_27, plain, ~p2, inference(sr,[status(thm)],[c_0_21, c_0_16])).
% 37.54/37.72 thf(c_0_28, plain, (~p56|~p10), inference(fof_simplification,[status(thm)],[ax692])).
% 37.54/37.72 thf(c_0_29, plain, (f__0 @ fx @ fx @ fx|p56), inference(split_conjunct,[status(thm)],[c_0_22])).
% 37.54/37.72 thf(c_0_30, plain, ~f__0 @ fx @ fx @ fx, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 37.54/37.72 thf(c_0_31, plain, (~p17|p39|p40), inference(fof_simplification,[status(thm)],[ax934])).
% 37.54/37.72 thf(c_0_32, plain, (p17|~p5), inference(split_conjunct,[status(thm)],[c_0_25])).
% 37.54/37.72 thf(c_0_33, plain, p5, inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 37.54/37.72 thf(c_0_34, plain, (~p40|p10), inference(fof_simplification,[status(thm)],[ax755])).
% 37.54/37.72 thf(c_0_35, plain, (~p56|~p10), inference(split_conjunct,[status(thm)],[c_0_28])).
% 37.54/37.72 thf(c_0_36, plain, p56, inference(sr,[status(thm)],[c_0_29, c_0_30])).
% 37.54/37.72 thf(c_0_37, plain, (((f__0 @ esk1839_0 @ esk1839_0 @ esk1839_0|~f__0 @ fc0 @ fc0 @ fc0|~p39)&(f__0 @ esk1840_0 @ esk1840_0 @ esk1840_0|~f__0 @ fc0 @ fc0 @ fc0|~p39))&(~f__0 @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0)|~f__0 @ fc0 @ fc0 @ fc0|~p39)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax39])])])])])).
% 37.54/37.72 thf(c_0_38, plain, ![X1:iS, X2:iS, X3:iS]:(f__0 @ X2 @ X1 @ X3|p6|(X1)!=(fc0)|(X2)!=(X3)), inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.54/37.72 thf(c_0_39, plain, (p39|p40|~p17), inference(split_conjunct,[status(thm)],[c_0_31])).
% 37.54/37.72 thf(c_0_40, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 37.54/37.72 thf(c_0_41, plain, (p10|~p40), inference(split_conjunct,[status(thm)],[c_0_34])).
% 37.54/37.72 thf(c_0_42, plain, ~p10, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 37.54/37.72 thf(c_0_43, plain, (~f__0 @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0)|~f__0 @ fc0 @ fc0 @ fc0|~p39), inference(split_conjunct,[status(thm)],[c_0_37])).
% 37.54/37.72 thf(c_0_44, plain, ![X1:iS]:f__0 @ X1 @ fc0 @ X1, inference(er,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_38, c_0_24])])])).
% 37.54/37.72 thf(c_0_45, plain, (p40|p39), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 37.54/37.72 thf(c_0_46, plain, ~p40, inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 37.54/37.72 thf(c_0_47, plain, (f__0 @ esk1840_0 @ esk1840_0 @ esk1840_0|~f__0 @ fc0 @ fc0 @ fc0|~p39), inference(split_conjunct,[status(thm)],[c_0_37])).
% 37.54/37.72 thf(c_0_48, plain, (f__0 @ esk1839_0 @ esk1839_0 @ esk1839_0|~f__0 @ fc0 @ fc0 @ fc0|~p39), inference(split_conjunct,[status(thm)],[c_0_37])).
% 37.54/37.72 thf(c_0_49, plain, (~f__0 @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0)|~p39), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 37.54/37.72 thf(c_0_50, plain, p39, inference(sr,[status(thm)],[c_0_45, c_0_46])).
% 37.54/37.72 thf(c_0_51, plain, ![X1:iS, X2:iS, X4:iS, X5:iS, X3:iS, X7:iS, X6:iS, X8:iS, X9:iS]:(f__0 @ X1 @ X4 @ X7|p6|(X1)!=(fcP @ X2 @ X3)|(X4)!=(fcP @ X5 @ X6)|(X7)!=(fcP @ X8 @ X9)|~f__0 @ X2 @ X5 @ X8|~f__0 @ X3 @ X6 @ X9), inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.54/37.72 thf(c_0_52, plain, (f__0 @ esk1840_0 @ esk1840_0 @ esk1840_0|~p39), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_44])])).
% 37.54/37.72 thf(c_0_53, plain, (f__0 @ esk1839_0 @ esk1839_0 @ esk1839_0|~p39), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_44])])).
% 37.54/37.72 thf(c_0_54, plain, ~f__0 @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0) @ (fcP @ esk1839_0 @ esk1840_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])).
% 37.54/37.72 thf(c_0_55, 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(sr,[status(thm)],[c_0_51, c_0_24])])])])).
% 37.54/37.72 thf(c_0_56, plain, f__0 @ esk1840_0 @ esk1840_0 @ esk1840_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_50])])).
% 37.54/37.72 thf(c_0_57, plain, f__0 @ esk1839_0 @ esk1839_0 @ esk1839_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_50])])).
% 37.54/37.72 thf(c_0_58, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56]), c_0_57])]), ['proof']).
% 37.54/37.72 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.54/37.72 thf(0,theorem,((~(((~(((![X1:iS]:(![X2:iS]:(~((((cP @ X1) @ X2) = c0))))) => (~((![X1:iS]:(![X2:iS]:(![X3:iS]:(![X4:iS]:((((cP @ X1) @ X3) = ((cP @ X2) @ X4)) => (~(((X1 = X2) => (~((X3 = X4)))))))))))))))) => (~((![X1:iS>$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 @ x) @ x) @ x)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.54/37.72 % SZS output end Proof
%------------------------------------------------------------------------------