%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN996^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.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 03:19:01 PM UTC 2025
% Result : Theorem 1.09s 1.59s
% Output : Proof 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN996^1 : TPTP v9.2.0. Released v3.7.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n028.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 : Wed Oct 8 15:22:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.09/1.59 % SZS status Theorem
% 1.09/1.59 % Mode: mode506
% 1.09/1.59 % Inferences: 591
% 1.09/1.59 % SZS output start Proof
% 1.09/1.59 thf(conj,conjecture,((![X1:$i]:(~((![X2:$i]:(~(((r @ X1) @ X2))))))) => (~((![X1:$i>$i]:(~((![X2:$i]:((r @ X2) @ (X1 @ X2)))))))))).
% 1.09/1.59 thf(h0,negated_conjecture,(~(((![X1:$i]:(~((![X2:$i]:(~(((r @ X1) @ X2))))))) => (~((![X1:$i>$i]:(~((![X2:$i]:((r @ X2) @ (X1 @ X2))))))))))),inference(assume_negation,[status(cth)],[conj])).
% 1.09/1.59 thf(ax1080, axiom, ~(p1), file('<stdin>', ax1080)).
% 1.09/1.59 thf(pax3, axiom, (p3=>![X3:$i > $i]:~(![X2:$i]:fr @ X2 @ (X3 @ X2))), file('<stdin>', pax3)).
% 1.09/1.59 thf(ax1078, axiom, (p1|p3), file('<stdin>', ax1078)).
% 1.09/1.59 thf(nax1, axiom, (p1<=(![X6:$i]:~(![X2:$i]:~(fr @ X6 @ X2))=>~(![X7:$i > $i]:~(![X2:$i]:fr @ X2 @ (X7 @ X2))))), file('<stdin>', nax1)).
% 1.09/1.59 thf(c_0_4, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1080])).
% 1.09/1.59 thf(c_0_5, plain, ![X520:$i > $i]:(~p3|~fr @ (esk257_1 @ X520) @ (X520 @ (esk257_1 @ X520))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])])).
% 1.09/1.59 thf(c_0_6, plain, (p1|p3), inference(split_conjunct,[status(thm)],[ax1078])).
% 1.09/1.59 thf(c_0_7, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_4])).
% 1.09/1.59 thf(c_0_8, plain, ![X532:$i, X534:$i > $i]:((fr @ X532 @ (esk263_1 @ X532)|p1)&(~fr @ (esk264_1 @ X534) @ (X534 @ (esk264_1 @ X534))|p1)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])])])])])).
% 1.09/1.59 thf(c_0_9, plain, ![X3:$i > $i]:(~p3|~fr @ (esk257_1 @ X3) @ (X3 @ (esk257_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 1.09/1.59 thf(c_0_10, plain, p3, inference(sr,[status(thm)],[c_0_6, c_0_7])).
% 1.09/1.59 thf(c_0_11, plain, ![X1:$i]:(fr @ X1 @ (esk263_1 @ X1)|p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.09/1.59 thf(c_0_12, plain, ![X3:$i > $i]:~fr @ (esk257_1 @ X3) @ (X3 @ (esk257_1 @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 1.09/1.59 thf(c_0_13, plain, ![X1:$i]:fr @ X1 @ (esk263_1 @ X1), inference(sr,[status(thm)],[c_0_11, c_0_7])).
% 1.09/1.59 thf(c_0_14, plain, ($false), inference(spm,[status(thm)],[c_0_12, c_0_13]), ['proof']).
% 1.09/1.59 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 1.09/1.59 thf(0,theorem,((![X1:$i]:(~((![X2:$i]:(~(((r @ X1) @ X2))))))) => (~((![X1:$i>$i]:(~((![X2:$i]:((r @ X2) @ (X1 @ X2))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 1.09/1.59 % SZS output end Proof
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