TSTP Solution File: SYN386^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN386^5 : 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 11:43:19 EDT 2022
% Result : Theorem 44.66s 44.87s
% Output : Proof 44.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN386^5 : 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
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 11:45:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 44.66/44.87 % SZS status Theorem
% 44.66/44.87 % Mode: mode459
% 44.66/44.87 % Inferences: 47
% 44.66/44.87 % SZS output start Proof
% 44.66/44.87 thf(cX2138,conjecture,((~(((~(((![X1:$i]:(~((![X2:$i]:(~(((cF @ X1) @ X2))))))) => (![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (((cD @ X4) @ X1) @ X2))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(![X4:$i]:((((cD @ X3) @ X4) @ X2) => (![X5:$i]:(![X6:$i]:((~((((cF @ X3) @ X5) => (~(((cF @ X4) @ X6)))))) => (((cD @ X5) @ X6) @ X1)))))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (![X5:$i]:(((cF @ X4) @ X5) => (((cD @ X5) @ X1) @ X2)))))))))))))))))).
% 44.66/44.87 thf(h0,negated_conjecture,(~(((~(((~(((![X1:$i]:(~((![X2:$i]:(~(((cF @ X1) @ X2))))))) => (![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (((cD @ X4) @ X1) @ X2))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(![X4:$i]:((((cD @ X3) @ X4) @ X2) => (![X5:$i]:(![X6:$i]:((~((((cF @ X3) @ X5) => (~(((cF @ X4) @ X6)))))) => (((cD @ X5) @ X6) @ X1)))))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (![X5:$i]:(((cF @ X4) @ X5) => (((cD @ X5) @ X1) @ X2))))))))))))))))))),inference(assume_negation,[status(cth)],[cX2138])).
% 44.66/44.87 thf(ax97, axiom, (p1|~(p2)), file('<stdin>', ax97)).
% 44.66/44.87 thf(ax98, axiom, ~(p1), file('<stdin>', ax98)).
% 44.66/44.87 thf(nax1, axiom, (p1<=(~((~((![X1:$i]:~(![X2:$i]:~(fcF @ X1 @ X2))=>![X1:$i]:~(![X2:$i]:~(![X3:$i]:~(![X4:$i]:(fcS @ X3 @ X4=>fcD @ X4 @ X1 @ X2))))))=>~(![X1:$i]:~(![X2:$i]:~(![X3:$i, X4:$i]:(fcD @ X3 @ X4 @ X2=>![X5:$i, X6:$i]:(~((fcF @ X3 @ X5=>~(fcF @ X4 @ X6)))=>fcD @ X5 @ X6 @ X1)))))))=>~(![X1:$i]:~(![X2:$i]:~(![X3:$i]:~(![X4:$i]:(fcS @ X3 @ X4=>![X5:$i]:(fcF @ X4 @ X5=>fcD @ X5 @ X1 @ X2)))))))), file('<stdin>', nax1)).
% 44.66/44.87 thf(pax3, axiom, (p3=>![X1:$i]:~(![X2:$i]:~(![X3:$i]:~(![X4:$i]:(fcS @ X3 @ X4=>![X5:$i]:(fcF @ X4 @ X5=>fcD @ X5 @ X1 @ X2)))))), file('<stdin>', pax3)).
% 44.66/44.87 thf(ax96, axiom, (p1|p3), file('<stdin>', ax96)).
% 44.66/44.87 thf(pax5, axiom, (p5=>![X1:$i]:~(![X2:$i]:~(![X3:$i, X4:$i]:(fcD @ X3 @ X4 @ X2=>![X5:$i, X6:$i]:(~((fcF @ X3 @ X5=>~(fcF @ X4 @ X6)))=>fcD @ X5 @ X6 @ X1))))), file('<stdin>', pax5)).
% 44.66/44.87 thf(ax94, axiom, (p2|p5), file('<stdin>', ax94)).
% 44.66/44.87 thf(c_0_7, plain, (p1|~p2), inference(fof_simplification,[status(thm)],[ax97])).
% 44.66/44.87 thf(c_0_8, plain, ~p1, inference(fof_simplification,[status(thm)],[ax98])).
% 44.66/44.87 thf(c_0_9, plain, (p1|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 44.66/44.87 thf(c_0_10, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_8])).
% 44.66/44.87 thf(c_0_11, plain, ![X374:$i, X377:$i, X379:$i, X380:$i, X382:$i, X383:$i, X384:$i, X385:$i, X386:$i, X388:$i]:((((fcF @ X374 @ (esk186_1 @ X374)|p1)&(~fcS @ (esk188_1 @ X377) @ X379|fcD @ X379 @ esk187_0 @ X377|p1))&(~fcD @ X382 @ X383 @ (esk189_1 @ X380)|(~fcF @ X382 @ X384|~fcF @ X383 @ X385|fcD @ X384 @ X385 @ X380)|p1))&((fcS @ X388 @ (esk191_2 @ X386 @ X388)|p1)&((fcF @ (esk191_2 @ X386 @ X388) @ (esk192_2 @ X386 @ X388)|p1)&(~fcD @ (esk192_2 @ X386 @ X388) @ X386 @ (esk190_1 @ X386)|p1)))), 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)],[nax1])])])])])])).
% 44.66/44.87 thf(c_0_12, plain, ![X323:$i, X325:$i]:((fcS @ X325 @ (esk160_2 @ X323 @ X325)|~p3)&((fcF @ (esk160_2 @ X323 @ X325) @ (esk161_2 @ X323 @ X325)|~p3)&(~fcD @ (esk161_2 @ X323 @ X325) @ X323 @ (esk159_1 @ X323)|~p3))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])])])).
% 44.66/44.87 thf(c_0_13, plain, (p1|p3), inference(split_conjunct,[status(thm)],[ax96])).
% 44.66/44.87 thf(c_0_14, plain, ![X299:$i, X301:$i, X302:$i, X303:$i, X304:$i]:(~p5|(~fcD @ X301 @ X302 @ (esk147_1 @ X299)|(~fcF @ X301 @ X303|~fcF @ X302 @ X304|fcD @ X303 @ X304 @ X299))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax5])])])])])).
% 44.66/44.87 thf(c_0_15, plain, (p2|p5), inference(split_conjunct,[status(thm)],[ax94])).
% 44.66/44.87 thf(c_0_16, plain, ~p2, inference(sr,[status(thm)],[c_0_9, c_0_10])).
% 44.66/44.87 thf(c_0_17, plain, ![X1:$i, X2:$i]:(fcD @ X2 @ esk187_0 @ X1|p1|~fcS @ (esk188_1 @ X1) @ X2), inference(split_conjunct,[status(thm)],[c_0_11])).
% 44.66/44.87 thf(c_0_18, plain, ![X2:$i, X1:$i]:(fcS @ X1 @ (esk160_2 @ X2 @ X1)|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.66/44.87 thf(c_0_19, plain, p3, inference(sr,[status(thm)],[c_0_13, c_0_10])).
% 44.66/44.87 thf(c_0_20, plain, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i]:(fcD @ X4 @ X5 @ X3|~p5|~fcD @ X1 @ X2 @ (esk147_1 @ X3)|~fcF @ X1 @ X4|~fcF @ X2 @ X5), inference(split_conjunct,[status(thm)],[c_0_14])).
% 44.66/44.87 thf(c_0_21, plain, p5, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 44.66/44.87 thf(c_0_22, plain, ![X2:$i, X1:$i]:(fcD @ X1 @ esk187_0 @ X2|~fcS @ (esk188_1 @ X2) @ X1), inference(sr,[status(thm)],[c_0_17, c_0_10])).
% 44.66/44.87 thf(c_0_23, plain, ![X2:$i, X1:$i]:fcS @ X1 @ (esk160_2 @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 44.66/44.87 thf(c_0_24, plain, ![X3:$i, X5:$i, X4:$i, X2:$i, X1:$i]:(fcD @ X1 @ X2 @ X3|~fcD @ X4 @ X5 @ (esk147_1 @ X3)|~fcF @ X5 @ X2|~fcF @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 44.66/44.87 thf(c_0_25, plain, ![X1:$i, X2:$i]:fcD @ (esk160_2 @ X1 @ (esk188_1 @ X2)) @ esk187_0 @ X2, inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 44.66/44.87 thf(c_0_26, plain, ![X1:$i, X2:$i]:(fcF @ (esk160_2 @ X1 @ X2) @ (esk161_2 @ X1 @ X2)|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.66/44.87 thf(c_0_27, plain, ![X2:$i, X1:$i]:(~fcD @ (esk161_2 @ X1 @ X2) @ X1 @ (esk159_1 @ X1)|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.66/44.87 thf(c_0_28, plain, ![X1:$i, X4:$i, X3:$i, X2:$i]:(fcD @ X1 @ X2 @ X3|~fcF @ (esk160_2 @ X4 @ (esk188_1 @ (esk147_1 @ X3))) @ X1|~fcF @ esk187_0 @ X2), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 44.66/44.87 thf(c_0_29, plain, ![X1:$i, X2:$i]:fcF @ (esk160_2 @ X1 @ X2) @ (esk161_2 @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_19])])).
% 44.66/44.87 thf(c_0_30, plain, ![X2:$i, X1:$i]:~fcD @ (esk161_2 @ X1 @ X2) @ X1 @ (esk159_1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_19])])).
% 44.66/44.87 thf(c_0_31, plain, ![X1:$i, X2:$i, X3:$i]:(fcD @ (esk161_2 @ X1 @ (esk188_1 @ (esk147_1 @ X2))) @ X3 @ X2|~fcF @ esk187_0 @ X3), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 44.66/44.87 thf(c_0_32, plain, ![X1:$i]:(fcF @ X1 @ (esk186_1 @ X1)|p1), inference(split_conjunct,[status(thm)],[c_0_11])).
% 44.66/44.87 thf(c_0_33, plain, ![X1:$i]:~fcF @ esk187_0 @ X1, inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 44.66/44.87 thf(c_0_34, plain, ![X1:$i]:fcF @ X1 @ (esk186_1 @ X1), inference(sr,[status(thm)],[c_0_32, c_0_10])).
% 44.66/44.87 thf(c_0_35, plain, ($false), inference(spm,[status(thm)],[c_0_33, c_0_34]), ['proof']).
% 44.66/44.87 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 44.66/44.87 thf(0,theorem,((~(((~(((![X1:$i]:(~((![X2:$i]:(~(((cF @ X1) @ X2))))))) => (![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (((cD @ X4) @ X1) @ X2))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(![X4:$i]:((((cD @ X3) @ X4) @ X2) => (![X5:$i]:(![X6:$i]:((~((((cF @ X3) @ X5) => (~(((cF @ X4) @ X6)))))) => (((cD @ X5) @ X6) @ X1)))))))))))))))))) => (~((![X1:$i]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:(((cS @ X3) @ X4) => (![X5:$i]:(((cF @ X4) @ X5) => (((cD @ X5) @ X1) @ X2))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 44.66/44.87 % SZS output end Proof
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