TSTP Solution File: SYO317^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO317^5 : 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 : n011.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 19:31:25 EDT 2022
% Result : Theorem 37.54s 37.61s
% Output : Proof 37.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO317^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n011.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 : Sat Jul 9 02:31:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 37.54/37.61 % SZS status Theorem
% 37.54/37.61 % Mode: mode485
% 37.54/37.61 % Inferences: 545
% 37.54/37.61 % SZS output start Proof
% 37.54/37.61 thf(cTHM304,conjecture,((~(((~(((~(((![X1:$i]:((cEQ @ X1) @ X1)) => (~((![X1:$i]:(![X2:$i]:((~((((cEQ @ X1) @ X2) => (~((cP @ X1)))))) => (cP @ X2))))))))) => (~((cP @ a)))))) => (~((![X1:$i]:(![X2:$i]:(((cEQ @ (f @ X1)) @ (f @ X2)) => ((cEQ @ X1) @ X2))))))))) => (~((![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (![X2:$i]:(~((X1 @ X2)))))))))).
% 37.54/37.61 thf(h0,negated_conjecture,(~(((~(((~(((~(((![X1:$i]:((cEQ @ X1) @ X1)) => (~((![X1:$i]:(![X2:$i]:((~((((cEQ @ X1) @ X2) => (~((cP @ X1)))))) => (cP @ X2))))))))) => (~((cP @ a)))))) => (~((![X1:$i]:(![X2:$i]:(((cEQ @ (f @ X1)) @ (f @ X2)) => ((cEQ @ X1) @ X2))))))))) => (~((![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (![X2:$i]:(~((X1 @ X2))))))))))),inference(assume_negation,[status(cth)],[cTHM304])).
% 37.54/37.61 thf(ax1336, axiom, (p1|~(p2)), file('<stdin>', ax1336)).
% 37.54/37.61 thf(ax1337, axiom, ~(p1), file('<stdin>', ax1337)).
% 37.54/37.61 thf(ax1334, axiom, (p2|~(p4)), file('<stdin>', ax1334)).
% 37.54/37.61 thf(ax1332, axiom, (p4|~(p6)), file('<stdin>', ax1332)).
% 37.54/37.61 thf(ax1321, axiom, (~(p8)|p17), file('<stdin>', ax1321)).
% 37.54/37.61 thf(ax1330, axiom, (p6|p8), file('<stdin>', ax1330)).
% 37.54/37.61 thf(ax1301, axiom, (~(p3)|p40), file('<stdin>', ax1301)).
% 37.54/37.61 thf(ax1335, axiom, (p1|p3), file('<stdin>', ax1335)).
% 37.54/37.61 thf(ax1144, axiom, (~(p93)|~(p17)), file('<stdin>', ax1144)).
% 37.54/37.61 thf(ax1253, axiom, (~(p40)|~(p92)|p93), file('<stdin>', ax1253)).
% 37.54/37.61 thf(ax1324, axiom, (~(p9)|p14), file('<stdin>', ax1324)).
% 37.54/37.61 thf(ax1329, axiom, (p6|p9), file('<stdin>', ax1329)).
% 37.54/37.61 thf(nax2, axiom, (p2<=(~((~((![X1:$i]:fcEQ @ X1 @ X1=>~(![X1:$i, X2:$i]:(~((fcEQ @ X1 @ X2=>~(fcP @ X1)))=>fcP @ X2))))=>~(fcP @ fa)))=>~(![X1:$i, X2:$i]:(fcEQ @ (ff @ X1) @ (ff @ X2)=>fcEQ @ X1 @ X2)))), file('<stdin>', nax2)).
% 37.54/37.61 thf(nax92, axiom, (p92<=![X1:$i]:(fcEQ @ (ff @ fa) @ (ff @ X1)=>fcP @ X1)), file('<stdin>', nax92)).
% 37.54/37.61 thf(pax14, axiom, (p14=>![X1:$i]:(~((fcEQ @ fa @ X1=>~(fcP @ fa)))=>fcP @ X1)), file('<stdin>', pax14)).
% 37.54/37.61 thf(pax5, axiom, (p5=>![X1:$i, X2:$i]:(fcEQ @ (ff @ X1) @ (ff @ X2)=>fcEQ @ X1 @ X2)), file('<stdin>', pax5)).
% 37.54/37.61 thf(ax1333, axiom, (p2|p5), file('<stdin>', ax1333)).
% 37.54/37.61 thf(c_0_17, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax1336])).
% 37.54/37.61 thf(c_0_18, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1337])).
% 37.54/37.61 thf(c_0_19, plain, (p2|~p4), inference(fof_simplification,[status(thm)],[ax1334])).
% 37.54/37.61 thf(c_0_20, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_17])).
% 37.54/37.61 thf(c_0_21, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_18])).
% 37.54/37.61 thf(c_0_22, plain, (p4|~p6), inference(fof_simplification,[status(thm)],[ax1332])).
% 37.54/37.61 thf(c_0_23, plain, (p2|~p4), inference(split_conjunct,[status(thm)],[c_0_19])).
% 37.54/37.61 thf(c_0_24, plain, ~p2, inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 37.54/37.61 thf(c_0_25, plain, (p4|~p6), inference(split_conjunct,[status(thm)],[c_0_22])).
% 37.54/37.61 thf(c_0_26, plain, ~p4, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 37.54/37.61 thf(c_0_27, plain, (~p8|p17), inference(fof_simplification,[status(thm)],[ax1321])).
% 37.54/37.61 thf(c_0_28, plain, (p6|p8), inference(split_conjunct,[status(thm)],[ax1330])).
% 37.54/37.61 thf(c_0_29, plain, ~p6, inference(sr,[status(thm)],[c_0_25, c_0_26])).
% 37.54/37.61 thf(c_0_30, plain, (~p3|p40), inference(fof_simplification,[status(thm)],[ax1301])).
% 37.54/37.61 thf(c_0_31, plain, (p1|p3), inference(split_conjunct,[status(thm)],[ax1335])).
% 37.54/37.61 thf(c_0_32, plain, (~p93|~p17), inference(fof_simplification,[status(thm)],[ax1144])).
% 37.54/37.61 thf(c_0_33, plain, (p17|~p8), inference(split_conjunct,[status(thm)],[c_0_27])).
% 37.54/37.61 thf(c_0_34, plain, p8, inference(sr,[status(thm)],[c_0_28, c_0_29])).
% 37.54/37.61 thf(c_0_35, plain, (~p40|~p92|p93), inference(fof_simplification,[status(thm)],[ax1253])).
% 37.54/37.61 thf(c_0_36, plain, (p40|~p3), inference(split_conjunct,[status(thm)],[c_0_30])).
% 37.54/37.61 thf(c_0_37, plain, p3, inference(sr,[status(thm)],[c_0_31, c_0_21])).
% 37.54/37.61 thf(c_0_38, plain, (~p93|~p17), inference(split_conjunct,[status(thm)],[c_0_32])).
% 37.54/37.61 thf(c_0_39, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 37.54/37.61 thf(c_0_40, plain, (~p9|p14), inference(fof_simplification,[status(thm)],[ax1324])).
% 37.54/37.61 thf(c_0_41, plain, (p6|p9), inference(split_conjunct,[status(thm)],[ax1329])).
% 37.54/37.61 thf(c_0_42, plain, ![X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i]:((((fcEQ @ X1370 @ X1370|p2)&(~fcEQ @ X1371 @ X1372|~fcP @ X1371|fcP @ X1372|p2))&(fcP @ fa|p2))&(~fcEQ @ (ff @ X1373) @ (ff @ X1374)|fcEQ @ X1373 @ X1374|p2)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])])])])])).
% 37.54/37.61 thf(c_0_43, plain, ((fcEQ @ (ff @ fa) @ (ff @ esk601_0)|p92)&(~fcP @ esk601_0|p92)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])])])])).
% 37.54/37.61 thf(c_0_44, plain, (p93|~p40|~p92), inference(split_conjunct,[status(thm)],[c_0_35])).
% 37.54/37.61 thf(c_0_45, plain, p40, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 37.54/37.61 thf(c_0_46, plain, ~p93, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 37.54/37.61 thf(c_0_47, plain, ![X1333:$i]:(~p14|(~fcEQ @ fa @ X1333|~fcP @ fa|fcP @ X1333)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax14])])])])).
% 37.54/37.61 thf(c_0_48, plain, (p14|~p9), inference(split_conjunct,[status(thm)],[c_0_40])).
% 37.54/37.61 thf(c_0_49, plain, p9, inference(sr,[status(thm)],[c_0_41, c_0_29])).
% 37.54/37.61 thf(c_0_50, plain, (fcP @ fa|p2), inference(split_conjunct,[status(thm)],[c_0_42])).
% 37.54/37.61 thf(c_0_51, plain, ![X1355:$i, X1356:$i]:(~p5|(~fcEQ @ (ff @ X1355) @ (ff @ X1356)|fcEQ @ X1355 @ X1356)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 37.54/37.61 thf(c_0_52, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax1333])).
% 37.54/37.61 thf(c_0_53, plain, (p92|~fcP @ esk601_0), inference(split_conjunct,[status(thm)],[c_0_43])).
% 37.54/37.61 thf(c_0_54, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])]), c_0_46])).
% 37.54/37.61 thf(c_0_55, plain, ![X1:$i]:(fcP @ X1|~p14|~fcEQ @ fa @ X1|~fcP @ fa), inference(split_conjunct,[status(thm)],[c_0_47])).
% 37.54/37.61 thf(c_0_56, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 37.54/37.61 thf(c_0_57, plain, fcP @ fa, inference(sr,[status(thm)],[c_0_50, c_0_24])).
% 37.54/37.61 thf(c_0_58, plain, ![X1:$i, X2:$i]:(fcEQ @ X1 @ X2|~p5|~fcEQ @ (ff @ X1) @ (ff @ X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
% 37.54/37.61 thf(c_0_59, plain, p5, inference(sr,[status(thm)],[c_0_52, c_0_24])).
% 37.54/37.61 thf(c_0_60, plain, (fcEQ @ (ff @ fa) @ (ff @ esk601_0)|p92), inference(split_conjunct,[status(thm)],[c_0_43])).
% 37.54/37.61 thf(c_0_61, plain, ~fcP @ esk601_0, inference(sr,[status(thm)],[c_0_53, c_0_54])).
% 37.54/37.61 thf(c_0_62, plain, ![X1:$i]:(fcP @ X1|~fcEQ @ fa @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56]), c_0_57])])).
% 37.54/37.61 thf(c_0_63, plain, ![X1:$i, X2:$i]:(fcEQ @ X1 @ X2|~fcEQ @ (ff @ X1) @ (ff @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
% 37.54/37.61 thf(c_0_64, plain, fcEQ @ (ff @ fa) @ (ff @ esk601_0), inference(sr,[status(thm)],[c_0_60, c_0_54])).
% 37.54/37.61 thf(c_0_65, plain, ~fcEQ @ fa @ esk601_0, inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 37.54/37.61 thf(c_0_66, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65]), ['proof']).
% 37.54/37.61 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 37.54/37.61 thf(0,theorem,((~(((~(((~(((![X1:$i]:((cEQ @ X1) @ X1)) => (~((![X1:$i]:(![X2:$i]:((~((((cEQ @ X1) @ X2) => (~((cP @ X1)))))) => (cP @ X2))))))))) => (~((cP @ a)))))) => (~((![X1:$i]:(![X2:$i]:(((cEQ @ (f @ X1)) @ (f @ X2)) => ((cEQ @ X1) @ X2))))))))) => (~((![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (![X2:$i]:(~((X1 @ X2))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 37.54/37.61 % SZS output end Proof
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