TSTP Solution File: SYO268^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO268^5 : 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 : n018.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 19:31:10 EDT 2022
% Result : Theorem 38.73s 39.08s
% Output : Proof 38.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO268^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 08:28:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 38.73/39.08 % SZS status Theorem
% 38.73/39.08 % Mode: mode485
% 38.73/39.08 % Inferences: 454
% 38.73/39.08 % SZS output start Proof
% 38.73/39.08 thf(cX5308,conjecture,((~((![X1:(b>$o)>b]:(~((![X2:b>$o]:((~((![X3:b]:(~((X2 @ X3)))))) => (X2 @ (X1 @ X2))))))))) => ((![X1:a]:(~((![X2:b]:(~(((r @ X1) @ X2))))))) = (~((![X1:a>b]:(~((![X2:a]:((r @ X2) @ (X1 @ X2))))))))))).
% 38.73/39.08 thf(h0,negated_conjecture,(~(((~((![X1:(b>$o)>b]:(~((![X2:b>$o]:((~((![X3:b]:(~((X2 @ X3)))))) => (X2 @ (X1 @ X2))))))))) => ((![X1:a]:(~((![X2:b]:(~(((r @ X1) @ X2))))))) = (~((![X1:a>b]:(~((![X2:a]:((r @ X2) @ (X1 @ X2)))))))))))),inference(assume_negation,[status(cth)],[cX5308])).
% 38.73/39.08 thf(ax2507, axiom, (p1|~(p3)), file('<stdin>', ax2507)).
% 38.73/39.08 thf(ax2509, axiom, ~(p1), file('<stdin>', ax2509)).
% 38.73/39.08 thf(ax2498, axiom, (p3|p11|~(p12)), file('<stdin>', ax2498)).
% 38.73/39.08 thf(pax12, axiom, (p12=>![X7:a > b]:~(![X4:a]:fr @ X4 @ (X7 @ X4))), file('<stdin>', pax12)).
% 38.73/39.08 thf(pax11, axiom, (p11=>![X8:a]:~(![X9:b]:~(fr @ X8 @ X9))), file('<stdin>', pax11)).
% 38.73/39.08 thf(ax2497, axiom, (p3|~(p11)|p12), file('<stdin>', ax2497)).
% 38.73/39.08 thf(pax14, axiom, (p14=>![X5:b]:~(fr @ f__2 @ X5)), file('<stdin>', pax14)).
% 38.73/39.08 thf(pax13, axiom, (p13=>![X6:a]:fr @ X6 @ (f__1 @ X6)), file('<stdin>', pax13)).
% 38.73/39.08 thf(ax2496, axiom, (p12|p13), file('<stdin>', ax2496)).
% 38.73/39.08 thf(ax2495, axiom, (p11|p14), file('<stdin>', ax2495)).
% 38.73/39.08 thf(c_0_10, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax2507])).
% 38.73/39.08 thf(c_0_11, plain, ~p1, inference(fof_simplification,[status(thm)],[ax2509])).
% 38.73/39.08 thf(c_0_12, plain, (p3|p11|~p12), inference(fof_simplification,[status(thm)],[ax2498])).
% 38.73/39.08 thf(c_0_13, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_10])).
% 38.73/39.08 thf(c_0_14, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_11])).
% 38.73/39.08 thf(c_0_15, plain, ![X840:a > b]:(~p12|~fr @ (esk416_1 @ X840) @ (X840 @ (esk416_1 @ X840))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax12])])])])).
% 38.73/39.08 thf(c_0_16, plain, ![X844:a]:(~p11|fr @ X844 @ (esk418_1 @ X844)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax11])])])])])).
% 38.73/39.08 thf(c_0_17, plain, (p3|p11|~p12), inference(split_conjunct,[status(thm)],[c_0_12])).
% 38.73/39.08 thf(c_0_18, plain, ~p3, inference(sr,[status(thm)],[c_0_13, c_0_14])).
% 38.73/39.08 thf(c_0_19, plain, (p3|~p11|p12), inference(fof_simplification,[status(thm)],[ax2497])).
% 38.73/39.08 thf(c_0_20, plain, ![X836:b]:(~p14|~fr @ f__2 @ X836), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax14])])])])).
% 38.73/39.08 thf(c_0_21, plain, ![X838:a]:(~p13|fr @ X838 @ (f__1 @ X838)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax13])])])).
% 38.73/39.08 thf(c_0_22, plain, ![X7:a > b]:(~p12|~fr @ (esk416_1 @ X7) @ (X7 @ (esk416_1 @ X7))), inference(split_conjunct,[status(thm)],[c_0_15])).
% 38.73/39.08 thf(c_0_23, plain, ![X3:a]:(fr @ X3 @ (esk418_1 @ X3)|~p11), inference(split_conjunct,[status(thm)],[c_0_16])).
% 38.73/39.08 thf(c_0_24, plain, (p11|~p12), inference(sr,[status(thm)],[c_0_17, c_0_18])).
% 38.73/39.08 thf(c_0_25, plain, (p3|p12|~p11), inference(split_conjunct,[status(thm)],[c_0_19])).
% 38.73/39.08 thf(c_0_26, plain, ![X1:b]:(~p14|~fr @ f__2 @ X1), inference(split_conjunct,[status(thm)],[c_0_20])).
% 38.73/39.08 thf(c_0_27, plain, ![X3:a]:(fr @ X3 @ (f__1 @ X3)|~p13), inference(split_conjunct,[status(thm)],[c_0_21])).
% 38.73/39.08 thf(c_0_28, plain, (p12|p13), inference(split_conjunct,[status(thm)],[ax2496])).
% 38.73/39.08 thf(c_0_29, plain, ~p12, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
% 38.73/39.08 thf(c_0_30, plain, (p12|~p11), inference(sr,[status(thm)],[c_0_25, c_0_18])).
% 38.73/39.08 thf(c_0_31, plain, (~p14|~p13), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 38.73/39.08 thf(c_0_32, plain, p13, inference(sr,[status(thm)],[c_0_28, c_0_29])).
% 38.73/39.08 thf(c_0_33, plain, (p11|p14), inference(split_conjunct,[status(thm)],[ax2495])).
% 38.73/39.08 thf(c_0_34, plain, ~p11, inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 38.73/39.08 thf(c_0_35, plain, ~p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 38.73/39.08 thf(c_0_36, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_33, c_0_34]), c_0_35]), ['proof']).
% 38.73/39.08 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 38.73/39.08 thf(0,theorem,((~((![X1:(b>$o)>b]:(~((![X2:b>$o]:((~((![X3:b]:(~((X2 @ X3)))))) => (X2 @ (X1 @ X2))))))))) => ((![X1:a]:(~((![X2:b]:(~(((r @ X1) @ X2))))))) = (~((![X1:a>b]:(~((![X2:a]:((r @ X2) @ (X1 @ X2)))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 38.73/39.08 % SZS output end Proof
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