%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO298^5 : TPTP v9.2.0. 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 : 300s
% DateTime : Thu Oct 9 03:25:18 PM UTC 2025
% Result : Theorem 1.73s 1.98s
% Output : Proof 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO298^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Oct 9 00:45:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.73/1.98 % SZS status Theorem
% 1.73/1.98 % Mode: mode506
% 1.73/1.98 % Inferences: 2152
% 1.73/1.98 % SZS output start Proof
% 1.73/1.98 thf(cBLEDSOE5B,conjecture,(~((![X1:$i>$o]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:((X1 @ X4) => (~((((p @ X4) @ X3) => (~(((q @ X2) @ X3)))))))))))))))))))).
% 1.73/1.98 thf(h0,negated_conjecture,(![X1:$i>$o]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:((X1 @ X4) => (~((((p @ X4) @ X3) => (~(((q @ X2) @ X3))))))))))))))))),inference(assume_negation,[status(cth)],[cBLEDSOE5B])).
% 1.73/1.98 thf(ax986, axiom, (~(p1)|~(p13)), file('<stdin>', ax986)).
% 1.73/1.98 thf(ax998, axiom, p1, file('<stdin>', ax998)).
% 1.73/1.98 thf(ax979, axiom, (~(p1)|~(p20)), file('<stdin>', ax979)).
% 1.73/1.98 thf(pax14, axiom, (p14=>![X1:$i]:~(![X2:$i]:(fp @ X2 @ f__0=>~((fp @ X2 @ X1=>~(fq @ f__2 @ X1)))))), file('<stdin>', pax14)).
% 1.73/1.98 thf(ax985, axiom, (p13|p14), file('<stdin>', ax985)).
% 1.73/1.98 thf(nax20, axiom, (p20<=![X1:$i]:~(![X2:$i]:~(![X3:$i]:(fq @ f__2 @ f__0=>~((fp @ X3 @ X2=>~(fq @ X1 @ X2))))))), file('<stdin>', nax20)).
% 1.73/1.98 thf(c_0_6, plain, (~p1|~p13), inference(fof_simplification,[status(thm)],[ax986])).
% 1.73/1.98 thf(c_0_7, plain, (~p1|~p13), inference(split_conjunct,[status(thm)],[c_0_6])).
% 1.73/1.98 thf(c_0_8, plain, p1, inference(split_conjunct,[status(thm)],[ax998])).
% 1.73/1.98 thf(c_0_9, plain, (~p1|~p20), inference(fof_simplification,[status(thm)],[ax979])).
% 1.73/1.98 thf(c_0_10, plain, ![X5784:$i]:((fp @ (esk2891_1 @ X5784) @ f__0|~p14)&(~fp @ (esk2891_1 @ X5784) @ X5784|~fq @ f__2 @ X5784|~p14)), 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)],[pax14])])])])])])).
% 1.73/1.98 thf(c_0_11, plain, (p13|p14), inference(split_conjunct,[status(thm)],[ax985])).
% 1.73/1.98 thf(c_0_12, plain, ~p13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])])).
% 1.73/1.98 thf(c_0_13, plain, ![X5756:$i]:((fq @ f__2 @ f__0|p20)&(~fp @ (esk2877_1 @ X5756) @ X5756|~fq @ esk2876_0 @ X5756|p20)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax20])])])])])])).
% 1.73/1.98 thf(c_0_14, plain, (~p1|~p20), inference(split_conjunct,[status(thm)],[c_0_9])).
% 1.73/1.98 thf(c_0_15, plain, ![X1:$i]:(~fp @ (esk2891_1 @ X1) @ X1|~fq @ f__2 @ X1|~p14), inference(split_conjunct,[status(thm)],[c_0_10])).
% 1.73/1.98 thf(c_0_16, plain, p14, inference(sr,[status(thm)],[c_0_11, c_0_12])).
% 1.73/1.98 thf(c_0_17, plain, ![X1:$i]:(fp @ (esk2891_1 @ X1) @ f__0|~p14), inference(split_conjunct,[status(thm)],[c_0_10])).
% 1.73/1.98 thf(c_0_18, plain, (fq @ f__2 @ f__0|p20), inference(split_conjunct,[status(thm)],[c_0_13])).
% 1.73/1.98 thf(c_0_19, plain, ~p20, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_8])])).
% 1.73/1.98 thf(c_0_20, plain, ![X1:$i]:(~fp @ (esk2891_1 @ X1) @ X1|~fq @ f__2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 1.73/1.98 thf(c_0_21, plain, ![X1:$i]:fp @ (esk2891_1 @ X1) @ f__0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16])])).
% 1.73/1.98 thf(c_0_22, plain, fq @ f__2 @ f__0, inference(sr,[status(thm)],[c_0_18, c_0_19])).
% 1.73/1.98 thf(c_0_23, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])]), ['proof']).
% 1.73/1.98 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 1.73/1.98 thf(0,theorem,(~((![X1:$i>$o]:(~((![X2:$i]:(~((![X3:$i]:(~((![X4:$i]:((X1 @ X4) => (~((((p @ X4) @ X3) => (~(((q @ X2) @ X3))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 1.73/1.98 % SZS output end Proof
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