TSTP Solution File: SYO272^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO272^5 : 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 : n007.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 : Thu Jul 21 19:31:12 EDT 2022
% Result : Theorem 58.35s 58.04s
% Output : Proof 58.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO272^5 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 22:01:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 58.35/58.04 % SZS status Theorem
% 58.35/58.04 % Mode: mode371
% 58.35/58.04 % Inferences: 22
% 58.35/58.04 % SZS output start Proof
% 58.35/58.04 thf(cTHM301A,conjecture,((~(((~(((~(((![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) = (![X3:$i>$i>$o]:((~((((X3 @ c0) @ c0) => (~((![X4:$i]:(![X5:$i]:(((X3 @ X4) @ X5) => ((X3 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X3 @ X1) @ X2)))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ (cS @ c0)) @ c0)))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1)))))).
% 58.35/58.04 thf(h0,negated_conjecture,(~(((~(((~(((~(((![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) = (![X3:$i>$i>$o]:((~((((X3 @ c0) @ c0) => (~((![X4:$i]:(![X5:$i]:(((X3 @ X4) @ X5) => ((X3 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X3 @ X1) @ X2)))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ (cS @ c0)) @ c0)))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1))))))),inference(assume_negation,[status(cth)],[cTHM301A])).
% 58.35/58.04 thf(ax89, axiom, (p1|~(p2)), file('<stdin>', ax89)).
% 58.35/58.04 thf(ax90, axiom, ~(p1), file('<stdin>', ax90)).
% 58.35/58.04 thf(ax87, axiom, (p2|~(p4)), file('<stdin>', ax87)).
% 58.35/58.04 thf(ax84, axiom, (p4|~(p7)), file('<stdin>', ax84)).
% 58.35/58.04 thf(ax72, axiom, (~(p24)|p23), file('<stdin>', ax72)).
% 58.35/58.04 thf(ax88, axiom, (p1|~(p3)), file('<stdin>', ax88)).
% 58.35/58.04 thf(ax71, axiom, (~(p23)|p22), file('<stdin>', ax71)).
% 58.35/58.04 thf(ax73, axiom, p24, file('<stdin>', ax73)).
% 58.35/58.04 thf(ax85, axiom, (p3|~(p6)), file('<stdin>', ax85)).
% 58.35/58.04 thf(ax66, axiom, (~(p10)|p25), file('<stdin>', ax66)).
% 58.35/58.04 thf(ax81, axiom, (p7|p10), file('<stdin>', ax81)).
% 58.35/58.04 thf(ax70, axiom, (~(p22)|p9|p21), file('<stdin>', ax70)).
% 58.35/58.04 thf(ax82, axiom, (p6|~(p9)), file('<stdin>', ax82)).
% 58.35/58.04 thf(ax67, axiom, (~(p25)|p19), file('<stdin>', ax67)).
% 58.35/58.04 thf(ax68, axiom, (~(p20)|~(p19)|~(p18)), file('<stdin>', ax68)).
% 58.35/58.04 thf(ax69, axiom, (~(p21)|p20), file('<stdin>', ax69)).
% 58.35/58.04 thf(pax11, axiom, (p11=>fcHALF @ fc0 @ fc0), file('<stdin>', pax11)).
% 58.35/58.04 thf(ax80, axiom, (p7|p11), file('<stdin>', ax80)).
% 58.35/58.04 thf(ax3, axiom, (~(p34)|p81), file('<stdin>', ax3)).
% 58.35/58.04 thf(ax44, axiom, (p18|p34), file('<stdin>', ax44)).
% 58.35/58.04 thf(nax9, axiom, (p9<=(fcDOUBLE @ f__0 @ f__1=>fcHALF @ f__1 @ f__0)), file('<stdin>', nax9)).
% 58.35/58.04 thf(pax81, axiom, (p81=>(~((fcHALF @ fc0 @ fc0=>~(![X1:$i, X2:$i]:(fcHALF @ X2 @ X1=>fcHALF @ (fcS @ (fcS @ X2)) @ (fcS @ X1)))))=>fcHALF @ f__1 @ f__0)), file('<stdin>', pax81)).
% 58.35/58.04 thf(pax5, axiom, (p5=>![X1:$i, X2:$i]:(fcHALF @ X1 @ X2=>fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2))), file('<stdin>', pax5)).
% 58.35/58.04 thf(ax86, axiom, (p2|p5), file('<stdin>', ax86)).
% 58.35/58.04 thf(c_0_24, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax89])).
% 58.35/58.04 thf(c_0_25, plain, ~p1, inference(fof_simplification,[status(thm)],[ax90])).
% 58.35/58.04 thf(c_0_26, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax87])).
% 58.35/58.04 thf(c_0_27, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_24])).
% 58.35/58.04 thf(c_0_28, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_25])).
% 58.35/58.04 thf(c_0_29, plain, (p4|~p7), inference(fof_simplification,[status(thm)],[ax84])).
% 58.35/58.04 thf(c_0_30, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_26])).
% 58.35/58.04 thf(c_0_31, plain, ~p2, inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 58.35/58.04 thf(c_0_32, plain, (~p24|p23), inference(fof_simplification,[status(thm)],[ax72])).
% 58.35/58.04 thf(c_0_33, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax88])).
% 58.35/58.04 thf(c_0_34, plain, (p4|~p7), inference(split_conjunct,[status(thm)],[c_0_29])).
% 58.35/58.04 thf(c_0_35, plain, ~p4, inference(sr,[status(thm)],[c_0_30, c_0_31])).
% 58.35/58.04 thf(c_0_36, plain, (~p23|p22), inference(fof_simplification,[status(thm)],[ax71])).
% 58.35/58.04 thf(c_0_37, plain, (p23|~p24), inference(split_conjunct,[status(thm)],[c_0_32])).
% 58.35/58.04 thf(c_0_38, plain, p24, inference(split_conjunct,[status(thm)],[ax73])).
% 58.35/58.04 thf(c_0_39, plain, (p3|~p6), inference(fof_simplification,[status(thm)],[ax85])).
% 58.35/58.04 thf(c_0_40, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_33])).
% 58.35/58.04 thf(c_0_41, plain, (~p10|p25), inference(fof_simplification,[status(thm)],[ax66])).
% 58.35/58.04 thf(c_0_42, plain, (p7|p10), inference(split_conjunct,[status(thm)],[ax81])).
% 58.35/58.04 thf(c_0_43, plain, ~p7, inference(sr,[status(thm)],[c_0_34, c_0_35])).
% 58.35/58.04 thf(c_0_44, plain, (~p22|p9|p21), inference(fof_simplification,[status(thm)],[ax70])).
% 58.35/58.04 thf(c_0_45, plain, (p22|~p23), inference(split_conjunct,[status(thm)],[c_0_36])).
% 58.35/58.04 thf(c_0_46, plain, p23, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 58.35/58.04 thf(c_0_47, plain, (p6|~p9), inference(fof_simplification,[status(thm)],[ax82])).
% 58.35/58.04 thf(c_0_48, plain, (p3|~p6), inference(split_conjunct,[status(thm)],[c_0_39])).
% 58.35/58.04 thf(c_0_49, plain, ~p3, inference(sr,[status(thm)],[c_0_40, c_0_28])).
% 58.35/58.04 thf(c_0_50, plain, (~p25|p19), inference(fof_simplification,[status(thm)],[ax67])).
% 58.35/58.04 thf(c_0_51, plain, (p25|~p10), inference(split_conjunct,[status(thm)],[c_0_41])).
% 58.35/58.04 thf(c_0_52, plain, p10, inference(sr,[status(thm)],[c_0_42, c_0_43])).
% 58.35/58.04 thf(c_0_53, plain, (p9|p21|~p22), inference(split_conjunct,[status(thm)],[c_0_44])).
% 58.35/58.04 thf(c_0_54, plain, p22, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 58.35/58.04 thf(c_0_55, plain, (p6|~p9), inference(split_conjunct,[status(thm)],[c_0_47])).
% 58.35/58.04 thf(c_0_56, plain, ~p6, inference(sr,[status(thm)],[c_0_48, c_0_49])).
% 58.35/58.04 thf(c_0_57, plain, (~p20|~p19|~p18), inference(fof_simplification,[status(thm)],[ax68])).
% 58.35/58.04 thf(c_0_58, plain, (p19|~p25), inference(split_conjunct,[status(thm)],[c_0_50])).
% 58.35/58.04 thf(c_0_59, plain, p25, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
% 58.35/58.04 thf(c_0_60, plain, (~p21|p20), inference(fof_simplification,[status(thm)],[ax69])).
% 58.35/58.04 thf(c_0_61, plain, (p21|p9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 58.35/58.04 thf(c_0_62, plain, ~p9, inference(sr,[status(thm)],[c_0_55, c_0_56])).
% 58.35/58.04 thf(c_0_63, plain, (~p20|~p19|~p18), inference(split_conjunct,[status(thm)],[c_0_57])).
% 58.35/58.04 thf(c_0_64, plain, p19, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 58.35/58.04 thf(c_0_65, plain, (p20|~p21), inference(split_conjunct,[status(thm)],[c_0_60])).
% 58.35/58.04 thf(c_0_66, plain, p21, inference(sr,[status(thm)],[c_0_61, c_0_62])).
% 58.35/58.04 thf(c_0_67, plain, (~p18|~p20), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])).
% 58.35/58.04 thf(c_0_68, plain, p20, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
% 58.35/58.04 thf(c_0_69, plain, (~p11|fcHALF @ fc0 @ fc0), inference(fof_nnf,[status(thm)],[pax11])).
% 58.35/58.04 thf(c_0_70, plain, (p7|p11), inference(split_conjunct,[status(thm)],[ax80])).
% 58.35/58.04 thf(c_0_71, plain, (~p34|p81), inference(fof_simplification,[status(thm)],[ax3])).
% 58.35/58.04 thf(c_0_72, plain, (p18|p34), inference(split_conjunct,[status(thm)],[ax44])).
% 58.35/58.04 thf(c_0_73, plain, ~p18, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 58.35/58.04 thf(c_0_74, plain, ((fcDOUBLE @ f__0 @ f__1|p9)&(~fcHALF @ f__1 @ f__0|p9)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax9])])])).
% 58.35/58.04 thf(c_0_75, plain, ((fcHALF @ esk7_0 @ esk6_0|~fcHALF @ fc0 @ fc0|fcHALF @ f__1 @ f__0|~p81)&(~fcHALF @ (fcS @ (fcS @ esk7_0)) @ (fcS @ esk6_0)|~fcHALF @ fc0 @ fc0|fcHALF @ f__1 @ f__0|~p81)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax81])])])])).
% 58.35/58.04 thf(c_0_76, plain, (fcHALF @ fc0 @ fc0|~p11), inference(split_conjunct,[status(thm)],[c_0_69])).
% 58.35/58.04 thf(c_0_77, plain, p11, inference(sr,[status(thm)],[c_0_70, c_0_43])).
% 58.35/58.04 thf(c_0_78, plain, (p81|~p34), inference(split_conjunct,[status(thm)],[c_0_71])).
% 58.35/58.04 thf(c_0_79, plain, p34, inference(sr,[status(thm)],[c_0_72, c_0_73])).
% 58.35/58.04 thf(c_0_80, plain, (p9|~fcHALF @ f__1 @ f__0), inference(split_conjunct,[status(thm)],[c_0_74])).
% 58.35/58.04 thf(c_0_81, plain, ![X55:$i, X56:$i]:(~p5|(~fcHALF @ X55 @ X56|fcHALF @ (fcS @ (fcS @ X55)) @ (fcS @ X56))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 58.35/58.04 thf(c_0_82, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax86])).
% 58.35/58.04 thf(c_0_83, plain, (fcHALF @ f__1 @ f__0|~fcHALF @ (fcS @ (fcS @ esk7_0)) @ (fcS @ esk6_0)|~fcHALF @ fc0 @ fc0|~p81), inference(split_conjunct,[status(thm)],[c_0_75])).
% 58.35/58.04 thf(c_0_84, plain, fcHALF @ fc0 @ fc0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 58.35/58.04 thf(c_0_85, plain, p81, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])])).
% 58.35/58.04 thf(c_0_86, plain, ~fcHALF @ f__1 @ f__0, inference(sr,[status(thm)],[c_0_80, c_0_62])).
% 58.35/58.04 thf(c_0_87, plain, ![X1:$i, X2:$i]:(fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2)|~p5|~fcHALF @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_81])).
% 58.35/58.04 thf(c_0_88, plain, p5, inference(sr,[status(thm)],[c_0_82, c_0_31])).
% 58.35/58.04 thf(c_0_89, plain, (fcHALF @ esk7_0 @ esk6_0|fcHALF @ f__1 @ f__0|~fcHALF @ fc0 @ fc0|~p81), inference(split_conjunct,[status(thm)],[c_0_75])).
% 58.35/58.04 thf(c_0_90, plain, ~fcHALF @ (fcS @ (fcS @ esk7_0)) @ (fcS @ esk6_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84]), c_0_85])]), c_0_86])).
% 58.35/58.04 thf(c_0_91, plain, ![X1:$i, X2:$i]:(fcHALF @ (fcS @ (fcS @ X1)) @ (fcS @ X2)|~fcHALF @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
% 58.35/58.04 thf(c_0_92, plain, fcHALF @ esk7_0 @ esk6_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_84]), c_0_85])]), c_0_86])).
% 58.35/58.04 thf(c_0_93, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])]), ['proof']).
% 58.35/58.04 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 58.35/58.04 thf(0,theorem,((~(((~(((~(((![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) = (![X3:$i>$i>$o]:((~((((X3 @ c0) @ c0) => (~((![X4:$i]:(![X5:$i]:(((X3 @ X4) @ X5) => ((X3 @ (cS @ X4)) @ (cS @ (cS @ X5))))))))))) => ((X3 @ X1) @ X2)))))) => (~(((cHALF @ c0) @ c0)))))) => (~(((cHALF @ (cS @ c0)) @ c0)))))) => (~((![X1:$i]:(![X2:$i]:(((cHALF @ X1) @ X2) => ((cHALF @ (cS @ (cS @ X1))) @ (cS @ X2)))))))))) => (![X1:$i]:(![X2:$i]:(((cDOUBLE @ X1) @ X2) => ((cHALF @ X2) @ X1))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 58.35/58.04 % SZS output end Proof
%------------------------------------------------------------------------------