TSTP Solution File: SYO270^5 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SYO270^5 : 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 19:31:11 EDT 2022
% Result : Theorem 2.01s 2.50s
% Output : Proof 2.01s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO270^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 22:34:01 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.01/2.50 % SZS status Theorem
% 2.01/2.50 % Mode: mode506
% 2.01/2.50 % Inferences: 19123
% 2.01/2.50 % SZS output start Proof
% 2.01/2.50 thf(cTHM85,conjecture,(~((![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:((~(((![X4:$i]:((cP @ X4) @ (X2 @ X1))) => (~(((cP @ X1) @ X3)))))) => ((cP @ X3) @ (g @ (h @ X3)))))))))))).
% 2.01/2.50 thf(h0,negated_conjecture,(![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:((~(((![X4:$i]:((cP @ X4) @ (X2 @ X1))) => (~(((cP @ X1) @ X3)))))) => ((cP @ X3) @ (g @ (h @ X3))))))))),inference(assume_negation,[status(cth)],[cTHM85])).
% 2.01/2.50 thf(ax1040, axiom, (~(p1)|p2), file('<stdin>', ax1040)).
% 2.01/2.50 thf(ax965, axiom, (~(p2)|~(p77)), file('<stdin>', ax965)).
% 2.01/2.50 thf(ax1041, axiom, p1, file('<stdin>', ax1041)).
% 2.01/2.50 thf(ax964, axiom, (p77|~(p78)), file('<stdin>', ax964)).
% 2.01/2.50 thf(nax78, axiom, (p78<=(~((![X173:$i]:fcP @ X173 @ (fh @ f__10)=>~(fcP @ f__0 @ f__11)))=>fcP @ f__11 @ (fg @ (fh @ f__11)))), file('<stdin>', nax78)).
% 2.01/2.50 thf(pax1, axiom, (p1=>![X175:$i, X176:$i > $i]:~(![X4:$i]:(~((![X177:$i]:fcP @ X177 @ (X176 @ X175)=>~(fcP @ X175 @ X4)))=>fcP @ X4 @ (fg @ (fh @ X4))))), file('<stdin>', pax1)).
% 2.01/2.50 thf(c_0_6, plain, (~p1|p2), inference(fof_simplification,[status(thm)],[ax1040])).
% 2.01/2.50 thf(c_0_7, plain, (~p2|~p77), inference(fof_simplification,[status(thm)],[ax965])).
% 2.01/2.50 thf(c_0_8, plain, (p2|~p1), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.01/2.50 thf(c_0_9, plain, p1, inference(split_conjunct,[status(thm)],[ax1041])).
% 2.01/2.50 thf(c_0_10, plain, (p77|~p78), inference(fof_simplification,[status(thm)],[ax964])).
% 2.01/2.50 thf(c_0_11, plain, (~p2|~p77), inference(split_conjunct,[status(thm)],[c_0_7])).
% 2.01/2.50 thf(c_0_12, plain, p2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 2.01/2.50 thf(c_0_13, plain, ![X1427:$i]:(((fcP @ X1427 @ (fh @ f__10)|p78)&(fcP @ f__0 @ f__11|p78))&(~fcP @ f__11 @ (fg @ (fh @ f__11))|p78)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax78])])])])])).
% 2.01/2.50 thf(c_0_14, plain, (p77|~p78), inference(split_conjunct,[status(thm)],[c_0_10])).
% 2.01/2.50 thf(c_0_15, plain, ~p77, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 2.01/2.50 thf(c_0_16, plain, ![X1654:$i, X1655:$i > $i, X1657:$i]:(((fcP @ X1657 @ (X1655 @ X1654)|~p1)&(fcP @ X1654 @ (esk739_2 @ X1654 @ X1655)|~p1))&(~fcP @ (esk739_2 @ X1654 @ X1655) @ (fg @ (fh @ (esk739_2 @ X1654 @ X1655)))|~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)],[pax1])])])])])])).
% 2.01/2.50 thf(c_0_17, plain, (p78|~fcP @ f__11 @ (fg @ (fh @ f__11))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 2.01/2.50 thf(c_0_18, plain, ~p78, inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 2.01/2.50 thf(c_0_19, plain, ![X1:$i, X3:$i > $i, X2:$i]:(fcP @ X1 @ (X3 @ X2)|~p1), inference(split_conjunct,[status(thm)],[c_0_16])).
% 2.01/2.50 thf(c_0_20, plain, ~fcP @ f__11 @ (fg @ (fh @ f__11)), inference(sr,[status(thm)],[c_0_17, c_0_18])).
% 2.01/2.50 thf(c_0_21, plain, ![X1:$i, X3:$i > $i, X2:$i]:fcP @ X1 @ (X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_9])])).
% 2.01/2.50 thf(c_0_22, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])]), ['proof']).
% 2.01/2.50 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.01/2.50 thf(0,theorem,(~((![X1:$i]:(![X2:$i>$i]:(~((![X3:$i]:((~(((![X4:$i]:((cP @ X4) @ (X2 @ X1))) => (~(((cP @ X1) @ X3)))))) => ((cP @ X3) @ (g @ (h @ X3))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.01/2.50 % SZS output end Proof
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