TSTP Solution File: ITP139^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP139^1 : 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 : 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 : Sun Jul 17 00:29:15 EDT 2022
% Result : Theorem 1.64s 1.84s
% Output : Proof 1.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP139^1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n018.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 06:32:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.64/1.84 % SZS status Theorem
% 1.64/1.84 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 1.64/1.84 % Inferences: 4
% 1.64/1.84 % SZS output start Proof
% 1.64/1.84 thf(ty_set_Pa1764573435lle_tv, type, set_Pa1764573435lle_tv : $tType).
% 1.64/1.84 thf(ty_paraco1605129243lle_tv, type, paraco1605129243lle_tv : $tType).
% 1.64/1.84 thf(ty_eigen__0, type, eigen__0 : paraco1605129243lle_tv).
% 1.64/1.84 thf(ty_top_to1057771083lle_tv, type, top_to1057771083lle_tv : set_Pa1764573435lle_tv).
% 1.64/1.84 thf(ty_member266900804lle_tv, type, member266900804lle_tv : (paraco1605129243lle_tv>set_Pa1764573435lle_tv>$o)).
% 1.64/1.84 thf(conj_0,conjecture,((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f)) @ top_to1057771083lle_tv)).
% 1.64/1.84 thf(h0,negated_conjecture,(~(((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f)) @ top_to1057771083lle_tv))),inference(assume_negation,[status(cth)],[conj_0])).
% 1.64/1.84 thf(h1,assumption,((member266900804lle_tv @ eigen__0) @ top_to1057771083lle_tv),introduced(assumption,[])).
% 1.64/1.84 thf(pax1, axiom, (p1=>![X69:paraco1605129243lle_tv, X68:paraco1605129243lle_tv]:((fparaco1147068288nge_tv @ ff @ X69)=(fparaco1147068288nge_tv @ ff @ X68)=>(X69)=(X68))), file('<stdin>', pax1)).
% 1.64/1.84 thf(pax4, axiom, (p4=>![X66:paraco1605129243lle_tv > paraco1605129243lle_tv]:(![X68:paraco1605129243lle_tv, X65:paraco1605129243lle_tv]:((X66 @ X68)=(X66 @ X65)=>(X68)=(X65))=>finj_on772319074lle_tv @ X66 @ ftop_to1057771083lle_tv)), file('<stdin>', pax4)).
% 1.64/1.84 thf(nax66, axiom, (p66<=finj_on772319074lle_tv @ (fparaco1147068288nge_tv @ ff) @ ftop_to1057771083lle_tv), file('<stdin>', nax66)).
% 1.64/1.84 thf(ax2, axiom, ~(p66), file('<stdin>', ax2)).
% 1.64/1.84 thf(ax67, axiom, p1, file('<stdin>', ax67)).
% 1.64/1.84 thf(ax64, axiom, p4, file('<stdin>', ax64)).
% 1.64/1.84 thf(c_0_6, plain, ![X294:paraco1605129243lle_tv, X295:paraco1605129243lle_tv]:(~p1|((fparaco1147068288nge_tv @ ff @ X294)!=(fparaco1147068288nge_tv @ ff @ X295)|(X294)=(X295))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 1.64/1.84 thf(c_0_7, plain, ![X280:paraco1605129243lle_tv > paraco1605129243lle_tv]:(((X280 @ (esk106_1 @ X280))=(X280 @ (esk107_1 @ X280))|finj_on772319074lle_tv @ X280 @ ftop_to1057771083lle_tv|~p4)&((esk106_1 @ X280)!=(esk107_1 @ X280)|finj_on772319074lle_tv @ X280 @ ftop_to1057771083lle_tv|~p4)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])])])).
% 1.64/1.84 thf(c_0_8, plain, (~finj_on772319074lle_tv @ (fparaco1147068288nge_tv @ ff) @ ftop_to1057771083lle_tv|p66), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax66])])).
% 1.64/1.84 thf(c_0_9, plain, ~p66, inference(fof_simplification,[status(thm)],[ax2])).
% 1.64/1.84 thf(c_0_10, plain, ![X25:paraco1605129243lle_tv, X27:paraco1605129243lle_tv]:((X25)=(X27)|~p1|(fparaco1147068288nge_tv @ ff @ X25)!=(fparaco1147068288nge_tv @ ff @ X27)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 1.64/1.84 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax67])).
% 1.64/1.84 thf(c_0_12, plain, ![X1:paraco1605129243lle_tv > paraco1605129243lle_tv]:((X1 @ (esk106_1 @ X1))=(X1 @ (esk107_1 @ X1))|finj_on772319074lle_tv @ X1 @ ftop_to1057771083lle_tv|~p4), inference(split_conjunct,[status(thm)],[c_0_7])).
% 1.64/1.84 thf(c_0_13, plain, p4, inference(split_conjunct,[status(thm)],[ax64])).
% 1.64/1.84 thf(c_0_14, plain, (p66|~finj_on772319074lle_tv @ (fparaco1147068288nge_tv @ ff) @ ftop_to1057771083lle_tv), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.64/1.84 thf(c_0_15, plain, ~p66, inference(split_conjunct,[status(thm)],[c_0_9])).
% 1.64/1.84 thf(c_0_16, plain, ![X25:paraco1605129243lle_tv, X27:paraco1605129243lle_tv]:((X25)=(X27)|(fparaco1147068288nge_tv @ ff @ X25)!=(fparaco1147068288nge_tv @ ff @ X27)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 1.64/1.84 thf(c_0_17, plain, ![X1:paraco1605129243lle_tv > paraco1605129243lle_tv]:((X1 @ (esk106_1 @ X1))=(X1 @ (esk107_1 @ X1))|finj_on772319074lle_tv @ X1 @ ftop_to1057771083lle_tv), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 1.64/1.84 thf(c_0_18, plain, ~finj_on772319074lle_tv @ (fparaco1147068288nge_tv @ ff) @ ftop_to1057771083lle_tv, inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 1.64/1.84 thf(c_0_19, plain, ![X1:paraco1605129243lle_tv > paraco1605129243lle_tv]:(finj_on772319074lle_tv @ X1 @ ftop_to1057771083lle_tv|(esk106_1 @ X1)!=(esk107_1 @ X1)|~p4), inference(split_conjunct,[status(thm)],[c_0_7])).
% 1.64/1.84 thf(c_0_20, plain, ![X25:paraco1605129243lle_tv]:((esk106_1 @ (fparaco1147068288nge_tv @ ff))=(X25)|(fparaco1147068288nge_tv @ ff @ (esk107_1 @ (fparaco1147068288nge_tv @ ff)))!=(fparaco1147068288nge_tv @ ff @ X25)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])).
% 1.64/1.84 thf(c_0_21, plain, ![X1:paraco1605129243lle_tv > paraco1605129243lle_tv]:(finj_on772319074lle_tv @ X1 @ ftop_to1057771083lle_tv|(esk106_1 @ X1)!=(esk107_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_13])])).
% 1.64/1.84 thf(c_0_22, plain, (esk106_1 @ (fparaco1147068288nge_tv @ ff))=(esk107_1 @ (fparaco1147068288nge_tv @ ff)), inference(er,[status(thm)],[c_0_20])).
% 1.64/1.84 thf(c_0_23, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_18]), ['proof']).
% 1.64/1.84 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h1,h0])],[])).
% 1.64/1.84 thf(fact_85_UNIV__witness,axiom,(~((![X1:paraco1605129243lle_tv]:(~(((member266900804lle_tv @ X1) @ top_to1057771083lle_tv))))))).
% 1.64/1.84 thf(2,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_85_UNIV__witness,1,h1])).
% 1.64/1.84 thf(0,theorem,((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f)) @ top_to1057771083lle_tv),inference(contra,[status(thm),contra(discharge,[h0])],[2,h0])).
% 1.64/1.84 % SZS output end Proof
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