TSTP Solution File: SYO105^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO105^5 : 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 : n017.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 19:30:19 EDT 2022
% Result : Theorem 5.07s 5.26s
% Output : Proof 5.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO105^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jul 8 17:02:01 EDT 2022
% 0.14/0.33 % CPUTime :
% 5.07/5.26 % SZS status Theorem
% 5.07/5.26 % Mode: mode506
% 5.07/5.26 % Inferences: 102719
% 5.07/5.26 % SZS output start Proof
% 5.07/5.26 thf(cX2201TEST,conjecture,((~(((~((![X1:$i]:(~(((cQ @ X1) @ y)))))) => (~((![X1:$i]:((![X2:$i]:(((cP @ X2) @ y) @ X1)) => (![X2:$i]:(~((cR @ X2))))))))))) = (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(~((((cQ @ X1) @ y) => (~(((((cP @ X3) @ y) @ X2) => (~((cR @ X4))))))))))))))))))))))).
% 5.07/5.26 thf(h0,negated_conjecture,(~(((~(((~((![X1:$i]:(~(((cQ @ X1) @ y)))))) => (~((![X1:$i]:((![X2:$i]:(((cP @ X2) @ y) @ X1)) => (![X2:$i]:(~((cR @ X2))))))))))) = (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(~((((cQ @ X1) @ y) => (~(((((cP @ X3) @ y) @ X2) => (~((cR @ X4)))))))))))))))))))))))),inference(assume_negation,[status(cth)],[cX2201TEST])).
% 5.07/5.26 thf(pax15, axiom, (p15=>![X1:$i]:~(fcR @ X1)), file('<stdin>', pax15)).
% 5.07/5.26 thf(nax307, axiom, (p307<=(fcP @ f__5 @ fy @ f__16=>~(fcR @ f__42))), file('<stdin>', nax307)).
% 5.07/5.26 thf(ax828, axiom, (~(p306)|~(p19)|~(p307)), file('<stdin>', ax828)).
% 5.07/5.26 thf(ax1179, axiom, (p1|~(p8)|~(p9)), file('<stdin>', ax1179)).
% 5.07/5.26 thf(ax1187, axiom, ~(p1), file('<stdin>', ax1187)).
% 5.07/5.26 thf(ax1033, axiom, (~(p127)|~(p135)), file('<stdin>', ax1033)).
% 5.07/5.26 thf(ax829, axiom, (p135|p306), file('<stdin>', ax829)).
% 5.07/5.26 thf(ax1172, axiom, (p8|~(p10)), file('<stdin>', ax1172)).
% 5.07/5.26 thf(ax1140, axiom, (~(p9)|~(p44)), file('<stdin>', ax1140)).
% 5.07/5.26 thf(pax10, axiom, (p10=>![X1:$i]:~(fcQ @ X1 @ fy)), file('<stdin>', pax10)).
% 5.07/5.26 thf(nax9, axiom, (p9<=![X1:$i]:~(![X2:$i]:~(![X3:$i]:~(![X4:$i]:~((fcQ @ X1 @ fy=>~((fcP @ X3 @ fy @ X2=>~(fcR @ X4))))))))), file('<stdin>', nax9)).
% 5.07/5.26 thf(ax1164, axiom, (~(p21)|~(p22)), file('<stdin>', ax1164)).
% 5.07/5.26 thf(ax1175, axiom, (~(p12)|~(p13)), file('<stdin>', ax1175)).
% 5.07/5.26 thf(ax1167, axiom, (p10|p19), file('<stdin>', ax1167)).
% 5.07/5.26 thf(ax1045, axiom, (p44|p127), file('<stdin>', ax1045)).
% 5.07/5.26 thf(ax1177, axiom, (~(p8)|p10|~(p11)), file('<stdin>', ax1177)).
% 5.07/5.26 thf(ax1178, axiom, (p1|p8|p9), file('<stdin>', ax1178)).
% 5.07/5.26 thf(nax11, axiom, (p11<=![X1:$i]:(![X2:$i]:fcP @ X2 @ fy @ X1=>![X2:$i]:~(fcR @ X2))), file('<stdin>', nax11)).
% 5.07/5.26 thf(ax1151, axiom, (p22|p33), file('<stdin>', ax1151)).
% 5.07/5.26 thf(ax1165, axiom, (p13|p21), file('<stdin>', ax1165)).
% 5.07/5.26 thf(pax19, axiom, (p19=>fcQ @ f__2 @ fy), file('<stdin>', pax19)).
% 5.07/5.26 thf(ax1176, axiom, (p9|p12), file('<stdin>', ax1176)).
% 5.07/5.26 thf(pax127, axiom, (p127=>![X1:$i]:~(![X2:$i]:~((fcQ @ f__2 @ fy=>~((fcP @ X1 @ fy @ f__16=>~(fcR @ X2))))))), file('<stdin>', pax127)).
% 5.07/5.26 thf(ax1138, axiom, (~(p10)|~(p33)), file('<stdin>', ax1138)).
% 5.07/5.26 thf(nax8, axiom, (p8<=(~(![X1:$i]:~(fcQ @ X1 @ fy))=>~(![X1:$i]:(![X2:$i]:fcP @ X2 @ fy @ X1=>![X2:$i]:~(fcR @ X2))))), file('<stdin>', nax8)).
% 5.07/5.26 thf(nax15, axiom, (p15<=![X1:$i]:~(fcR @ X1)), file('<stdin>', nax15)).
% 5.07/5.26 thf(c_0_26, plain, ![X777:$i]:(~p15|~fcR @ X777), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax15])])])])).
% 5.07/5.26 thf(c_0_27, plain, ((fcP @ f__5 @ fy @ f__16|p307)&(fcR @ f__42|p307)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax307])])])).
% 5.07/5.26 thf(c_0_28, plain, (~p306|~p19|~p307), inference(fof_simplification,[status(thm)],[ax828])).
% 5.07/5.26 thf(c_0_29, plain, ![X1:$i]:(~p15|~fcR @ X1), inference(split_conjunct,[status(thm)],[c_0_26])).
% 5.07/5.26 thf(c_0_30, plain, (fcR @ f__42|p307), inference(split_conjunct,[status(thm)],[c_0_27])).
% 5.07/5.26 thf(c_0_31, plain, (~p306|~p19|~p307), inference(split_conjunct,[status(thm)],[c_0_28])).
% 5.07/5.26 thf(c_0_32, plain, (p307|~p15), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 5.07/5.26 thf(c_0_33, plain, (p1|~p8|~p9), inference(fof_simplification,[status(thm)],[ax1179])).
% 5.07/5.26 thf(c_0_34, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1187])).
% 5.07/5.26 thf(c_0_35, plain, (~p127|~p135), inference(fof_simplification,[status(thm)],[ax1033])).
% 5.07/5.26 thf(c_0_36, plain, (~p19|~p306|~p15), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 5.07/5.26 thf(c_0_37, plain, (p135|p306), inference(split_conjunct,[status(thm)],[ax829])).
% 5.07/5.26 thf(c_0_38, plain, (p1|~p8|~p9), inference(split_conjunct,[status(thm)],[c_0_33])).
% 5.07/5.26 thf(c_0_39, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_34])).
% 5.07/5.26 thf(c_0_40, plain, (p8|~p10), inference(fof_simplification,[status(thm)],[ax1172])).
% 5.07/5.26 thf(c_0_41, plain, (~p127|~p135), inference(split_conjunct,[status(thm)],[c_0_35])).
% 5.07/5.26 thf(c_0_42, plain, (p135|~p19|~p15), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 5.07/5.26 thf(c_0_43, plain, (~p9|~p44), inference(fof_simplification,[status(thm)],[ax1140])).
% 5.07/5.26 thf(c_0_44, plain, ![X801:$i]:(~p10|~fcQ @ X801 @ fy), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax10])])])])).
% 5.07/5.26 thf(c_0_45, plain, ![X808:$i, X810:$i]:((fcQ @ esk402_0 @ fy|p9)&(~fcP @ (esk403_1 @ X808) @ fy @ X808|~fcR @ X810|p9)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax9])])])])])])).
% 5.07/5.26 thf(c_0_46, plain, (~p8|~p9), inference(sr,[status(thm)],[c_0_38, c_0_39])).
% 5.07/5.26 thf(c_0_47, plain, (p8|~p10), inference(split_conjunct,[status(thm)],[c_0_40])).
% 5.07/5.26 thf(c_0_48, plain, (~p21|~p22), inference(fof_simplification,[status(thm)],[ax1164])).
% 5.07/5.26 thf(c_0_49, plain, (~p12|~p13), inference(fof_simplification,[status(thm)],[ax1175])).
% 5.07/5.26 thf(c_0_50, plain, (~p127|~p19|~p15), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 5.07/5.26 thf(c_0_51, plain, (p10|p19), inference(split_conjunct,[status(thm)],[ax1167])).
% 5.07/5.26 thf(c_0_52, plain, (~p9|~p44), inference(split_conjunct,[status(thm)],[c_0_43])).
% 5.07/5.26 thf(c_0_53, plain, (p44|p127), inference(split_conjunct,[status(thm)],[ax1045])).
% 5.07/5.26 thf(c_0_54, plain, ![X1:$i]:(~p10|~fcQ @ X1 @ fy), inference(split_conjunct,[status(thm)],[c_0_44])).
% 5.07/5.26 thf(c_0_55, plain, (fcQ @ esk402_0 @ fy|p9), inference(split_conjunct,[status(thm)],[c_0_45])).
% 5.07/5.26 thf(c_0_56, plain, (~p9|~p10), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 5.07/5.26 thf(c_0_57, plain, (~p8|p10|~p11), inference(fof_simplification,[status(thm)],[ax1177])).
% 5.07/5.26 thf(c_0_58, plain, (p1|p8|p9), inference(split_conjunct,[status(thm)],[ax1178])).
% 5.07/5.26 thf(c_0_59, plain, ![X799:$i]:((fcP @ X799 @ fy @ esk397_0|p11)&(fcR @ esk398_0|p11)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])])])])])).
% 5.07/5.26 thf(c_0_60, plain, (~p21|~p22), inference(split_conjunct,[status(thm)],[c_0_48])).
% 5.07/5.26 thf(c_0_61, plain, (p22|p33), inference(split_conjunct,[status(thm)],[ax1151])).
% 5.07/5.26 thf(c_0_62, plain, (~p12|~p13), inference(split_conjunct,[status(thm)],[c_0_49])).
% 5.07/5.26 thf(c_0_63, plain, (p13|p21), inference(split_conjunct,[status(thm)],[ax1165])).
% 5.07/5.26 thf(c_0_64, plain, (p10|~p127|~p15), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 5.07/5.26 thf(c_0_65, plain, (p127|~p9), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 5.07/5.26 thf(c_0_66, plain, (~p19|fcQ @ f__2 @ fy), inference(fof_nnf,[status(thm)],[pax19])).
% 5.07/5.26 thf(c_0_67, plain, ~p10, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])).
% 5.07/5.26 thf(c_0_68, plain, (p10|~p8|~p11), inference(split_conjunct,[status(thm)],[c_0_57])).
% 5.07/5.26 thf(c_0_69, plain, (p9|p8), inference(sr,[status(thm)],[c_0_58, c_0_39])).
% 5.07/5.26 thf(c_0_70, plain, (fcR @ esk398_0|p11), inference(split_conjunct,[status(thm)],[c_0_59])).
% 5.07/5.26 thf(c_0_71, plain, (p33|~p21), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 5.07/5.26 thf(c_0_72, plain, (p21|~p12), inference(spm,[status(thm)],[c_0_62, c_0_63])).
% 5.07/5.26 thf(c_0_73, plain, (~p15|~p9), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_56])).
% 5.07/5.26 thf(c_0_74, plain, (p9|p12), inference(split_conjunct,[status(thm)],[ax1176])).
% 5.07/5.26 thf(c_0_75, plain, ![X639:$i]:((fcP @ X639 @ fy @ f__16|~fcQ @ f__2 @ fy|~p127)&(fcR @ esk318_0|~fcQ @ f__2 @ fy|~p127)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax127])])])])])])])).
% 5.07/5.26 thf(c_0_76, plain, (fcQ @ f__2 @ fy|~p19), inference(split_conjunct,[status(thm)],[c_0_66])).
% 5.07/5.26 thf(c_0_77, plain, p19, inference(sr,[status(thm)],[c_0_51, c_0_67])).
% 5.07/5.26 thf(c_0_78, plain, (~p10|~p33), inference(fof_simplification,[status(thm)],[ax1138])).
% 5.07/5.26 thf(c_0_79, plain, (p9|p10|~p11), inference(spm,[status(thm)],[c_0_68, c_0_69])).
% 5.07/5.26 thf(c_0_80, plain, (p11|~p15), inference(spm,[status(thm)],[c_0_29, c_0_70])).
% 5.07/5.26 thf(c_0_81, plain, (p33|~p12), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 5.07/5.26 thf(c_0_82, plain, (p12|~p15), inference(spm,[status(thm)],[c_0_73, c_0_74])).
% 5.07/5.26 thf(c_0_83, plain, ![X816:$i, X818:$i]:((fcQ @ esk406_0 @ fy|p8)&(~fcP @ (esk407_1 @ X816) @ fy @ X816|~fcR @ X818|p8)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax8])])])])])])])).
% 5.07/5.26 thf(c_0_84, plain, ![X1:$i]:(fcP @ X1 @ fy @ f__16|~fcQ @ f__2 @ fy|~p127), inference(split_conjunct,[status(thm)],[c_0_75])).
% 5.07/5.26 thf(c_0_85, plain, fcQ @ f__2 @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 5.07/5.26 thf(c_0_86, plain, (fcR @ esk387_0|p15), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax15])])])])).
% 5.07/5.26 thf(c_0_87, plain, (~p10|~p33), inference(split_conjunct,[status(thm)],[c_0_78])).
% 5.07/5.26 thf(c_0_88, plain, (p10|~p15), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_73])).
% 5.07/5.26 thf(c_0_89, plain, (p33|~p15), inference(spm,[status(thm)],[c_0_81, c_0_82])).
% 5.07/5.26 thf(c_0_90, plain, ![X1:$i, X2:$i]:(p8|~fcP @ (esk407_1 @ X1) @ fy @ X1|~fcR @ X2), inference(split_conjunct,[status(thm)],[c_0_83])).
% 5.07/5.26 thf(c_0_91, plain, ![X1:$i]:(fcP @ X1 @ fy @ f__16|~p127), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85])])).
% 5.07/5.26 thf(c_0_92, plain, (fcR @ esk387_0|p15), inference(split_conjunct,[status(thm)],[c_0_86])).
% 5.07/5.26 thf(c_0_93, plain, ~p15, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89])).
% 5.07/5.26 thf(c_0_94, plain, ![X1:$i]:(p8|~fcR @ X1|~p127), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 5.07/5.26 thf(c_0_95, plain, fcR @ esk387_0, inference(sr,[status(thm)],[c_0_92, c_0_93])).
% 5.07/5.26 thf(c_0_96, plain, (p8|~p127), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 5.07/5.26 thf(c_0_97, plain, ~p9, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_96]), c_0_65])).
% 5.07/5.26 thf(c_0_98, plain, p8, inference(sr,[status(thm)],[c_0_69, c_0_97])).
% 5.07/5.26 thf(c_0_99, plain, ![X1:$i]:(fcP @ X1 @ fy @ esk397_0|p11), inference(split_conjunct,[status(thm)],[c_0_59])).
% 5.07/5.26 thf(c_0_100, plain, ~p11, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_98])]), c_0_67])).
% 5.07/5.26 thf(c_0_101, plain, ![X1:$i, X2:$i]:(p9|~fcP @ (esk403_1 @ X1) @ fy @ X1|~fcR @ X2), inference(split_conjunct,[status(thm)],[c_0_45])).
% 5.07/5.26 thf(c_0_102, plain, ![X1:$i]:fcP @ X1 @ fy @ esk397_0, inference(sr,[status(thm)],[c_0_99, c_0_100])).
% 5.07/5.26 thf(c_0_103, plain, ![X1:$i]:~fcR @ X1, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_97])).
% 5.07/5.26 thf(c_0_104, plain, ($false), inference(sr,[status(thm)],[c_0_95, c_0_103]), ['proof']).
% 5.07/5.26 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.07/5.26 thf(0,theorem,((~(((~((![X1:$i]:(~(((cQ @ X1) @ y)))))) => (~((![X1:$i]:((![X2:$i]:(((cP @ X2) @ y) @ X1)) => (![X2:$i]:(~((cR @ X2))))))))))) = (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(~((((cQ @ X1) @ y) => (~(((((cP @ X3) @ y) @ X2) => (~((cR @ X4)))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.07/5.26 % SZS output end Proof
%------------------------------------------------------------------------------