TSTP Solution File: ITP123^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP123^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n020.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 : Sun Jul 17 00:29:11 EDT 2022
% Result : Theorem 2.59s 3.34s
% Output : Proof 2.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP123^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n020.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 : Fri Jun 3 06:58:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.59/3.34 % SZS status Theorem
% 2.59/3.34 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.59/3.34 % Inferences: 3
% 2.59/3.34 % SZS output start Proof
% 2.59/3.34 thf(conj_4,conjecture,((less_eq @ x) @ ((sup @ ((inf @ y) @ ((sup @ x) @ z))) @ z))).
% 2.59/3.34 thf(h0,negated_conjecture,(~(((less_eq @ x) @ ((sup @ ((inf @ y) @ ((sup @ x) @ z))) @ z)))),inference(assume_negation,[status(cth)],[conj_4])).
% 2.59/3.34 thf(pax15, axiom, (p15=>![X10:a, X2:a]:(fsup @ X10 @ X2)=(fsup @ X2 @ X10)), file('<stdin>', pax15)).
% 2.59/3.34 thf(nax95, axiom, (p95<=fless_eq @ fx @ (fsup @ (finf @ fy @ (fsup @ fx @ fz)) @ fz)), file('<stdin>', nax95)).
% 2.59/3.34 thf(ax84, axiom, p15, file('<stdin>', ax84)).
% 2.59/3.34 thf(ax4, axiom, ~(p95), file('<stdin>', ax4)).
% 2.59/3.34 thf(pax53, axiom, (p53=>![X8:a, X2:a, X3:a]:(fless_eq @ X8 @ X2=>fless_eq @ X8 @ (fsup @ X3 @ X2))), file('<stdin>', pax53)).
% 2.59/3.34 thf(ax46, axiom, p53, file('<stdin>', ax46)).
% 2.59/3.34 thf(pax39, axiom, (p39=>![X10:a, X2:a, X3:a]:(fless_eq @ X10 @ X2=>(fless_eq @ X10 @ X3=>fless_eq @ X10 @ (finf @ X2 @ X3)))), file('<stdin>', pax39)).
% 2.59/3.34 thf(pax57, axiom, (p57=>![X8:a, X2:a]:fless_eq @ X8 @ (fsup @ X8 @ X2)), file('<stdin>', pax57)).
% 2.59/3.34 thf(pax92, axiom, (p92=>fless_eq @ fx @ fy), file('<stdin>', pax92)).
% 2.59/3.34 thf(ax60, axiom, p39, file('<stdin>', ax60)).
% 2.59/3.34 thf(ax42, axiom, p57, file('<stdin>', ax42)).
% 2.59/3.34 thf(ax7, axiom, p92, file('<stdin>', ax7)).
% 2.59/3.34 thf(c_0_12, plain, ![X357:a, X358:a]:(~p15|(fsup @ X357 @ X358)=(fsup @ X358 @ X357)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax15])])])).
% 2.59/3.34 thf(c_0_13, plain, (~fless_eq @ fx @ (fsup @ (finf @ fy @ (fsup @ fx @ fz)) @ fz)|p95), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax95])])).
% 2.59/3.34 thf(c_0_14, plain, ![X2:a, X1:a]:((fsup @ X1 @ X2)=(fsup @ X2 @ X1)|~p15), inference(split_conjunct,[status(thm)],[c_0_12])).
% 2.59/3.34 thf(c_0_15, plain, p15, inference(split_conjunct,[status(thm)],[ax84])).
% 2.59/3.34 thf(c_0_16, plain, ~p95, inference(fof_simplification,[status(thm)],[ax4])).
% 2.59/3.34 thf(c_0_17, plain, ![X203:a, X204:a, X205:a]:(~p53|(~fless_eq @ X203 @ X204|fless_eq @ X203 @ (fsup @ X205 @ X204))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax53])])])).
% 2.59/3.34 thf(c_0_18, plain, (p95|~fless_eq @ fx @ (fsup @ (finf @ fy @ (fsup @ fx @ fz)) @ fz)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 2.59/3.34 thf(c_0_19, plain, ![X2:a, X1:a]:(fsup @ X1 @ X2)=(fsup @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 2.59/3.34 thf(c_0_20, plain, ~p95, inference(split_conjunct,[status(thm)],[c_0_16])).
% 2.59/3.34 thf(c_0_21, plain, ![X1:a, X3:a, X2:a]:(fless_eq @ X1 @ (fsup @ X3 @ X2)|~p53|~fless_eq @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_17])).
% 2.59/3.34 thf(c_0_22, plain, p53, inference(split_conjunct,[status(thm)],[ax46])).
% 2.59/3.34 thf(c_0_23, plain, ![X283:a, X284:a, X285:a]:(~p39|(~fless_eq @ X283 @ X284|(~fless_eq @ X283 @ X285|fless_eq @ X283 @ (finf @ X284 @ X285)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax39])])])).
% 2.59/3.34 thf(c_0_24, plain, ![X191:a, X192:a]:(~p57|fless_eq @ X191 @ (fsup @ X191 @ X192)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax57])])])).
% 2.59/3.34 thf(c_0_25, plain, (~p92|fless_eq @ fx @ fy), inference(fof_nnf,[status(thm)],[pax92])).
% 2.59/3.34 thf(c_0_26, plain, ~fless_eq @ fx @ (fsup @ fz @ (finf @ fy @ (fsup @ fx @ fz))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
% 2.59/3.34 thf(c_0_27, plain, ![X1:a, X2:a, X3:a]:(fless_eq @ X1 @ (fsup @ X2 @ X3)|~fless_eq @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 2.59/3.34 thf(c_0_28, plain, ![X1:a, X2:a, X3:a]:(fless_eq @ X1 @ (finf @ X2 @ X3)|~p39|~fless_eq @ X1 @ X2|~fless_eq @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_23])).
% 2.59/3.34 thf(c_0_29, plain, p39, inference(split_conjunct,[status(thm)],[ax60])).
% 2.59/3.34 thf(c_0_30, plain, ![X1:a, X2:a]:(fless_eq @ X1 @ (fsup @ X1 @ X2)|~p57), inference(split_conjunct,[status(thm)],[c_0_24])).
% 2.59/3.34 thf(c_0_31, plain, p57, inference(split_conjunct,[status(thm)],[ax42])).
% 2.59/3.34 thf(c_0_32, plain, (fless_eq @ fx @ fy|~p92), inference(split_conjunct,[status(thm)],[c_0_25])).
% 2.59/3.34 thf(c_0_33, plain, p92, inference(split_conjunct,[status(thm)],[ax7])).
% 2.59/3.34 thf(c_0_34, plain, ~fless_eq @ fx @ (finf @ fy @ (fsup @ fx @ fz)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 2.59/3.34 thf(c_0_35, plain, ![X1:a, X3:a, X2:a]:(fless_eq @ X1 @ (finf @ X2 @ X3)|~fless_eq @ X1 @ X3|~fless_eq @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 2.59/3.34 thf(c_0_36, plain, ![X1:a, X2:a]:fless_eq @ X1 @ (fsup @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 2.59/3.34 thf(c_0_37, plain, fless_eq @ fx @ fy, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 2.59/3.34 thf(c_0_38, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_37])]), ['proof']).
% 2.59/3.34 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.59/3.34 thf(0,theorem,((less_eq @ x) @ ((sup @ ((inf @ y) @ ((sup @ x) @ z))) @ z)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.59/3.34 % SZS output end Proof
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