TSTP Solution File: SET055^12 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SET055^12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n012.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 : Tue Jul 19 04:50:23 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET055^12 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 12:04:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.21/0.46 % Inferences: 3
% 0.21/0.46 % SZS output start Proof
% 0.21/0.46 thf(ty_mworld, type, mworld : $tType).
% 0.21/0.46 thf(ty_eiw_di, type, eiw_di : ($i>mworld>$o)).
% 0.21/0.46 thf(ty_eigen__0, type, eigen__0 : $i).
% 0.21/0.46 thf(ty_mactual, type, mactual : mworld).
% 0.21/0.46 thf(ty_qmltpeq, type, qmltpeq : ($i>$i>mworld>$o)).
% 0.21/0.46 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.21/0.46 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:(((eiw_di @ X3) @ X2) => ((X1 @ X3) @ X2))))))).
% 0.21/0.46 thf(reflexivity_0,conjecture,(![X1:$i]:(((eiw_di @ X1) @ mactual) => (((qmltpeq @ X1) @ X1) @ mactual)))).
% 0.21/0.46 thf(h0,negated_conjecture,(~((![X1:$i]:(((eiw_di @ X1) @ mactual) => (((qmltpeq @ X1) @ X1) @ mactual))))),inference(assume_negation,[status(cth)],[reflexivity_0])).
% 0.21/0.46 thf(h1,assumption,(~((((eiw_di @ eigen__0) @ mactual) => (((qmltpeq @ eigen__0) @ eigen__0) @ mactual)))),introduced(assumption,[])).
% 0.21/0.46 thf(h2,assumption,((eiw_di @ eigen__0) @ mactual),introduced(assumption,[])).
% 0.21/0.46 thf(h3,assumption,(~((((qmltpeq @ eigen__0) @ eigen__0) @ mactual))),introduced(assumption,[])).
% 0.21/0.46 thf(nax80, axiom, (p80<=fqmltpeq @ f__0 @ f__0 @ fmactual), file('<stdin>', nax80)).
% 0.21/0.46 thf(ax4, axiom, ~(p80), file('<stdin>', ax4)).
% 0.21/0.46 thf(pax1, axiom, (p1=>![X1:$i]:(feiw_di @ X1 @ fmactual=>fqmltpeq @ X1 @ X1 @ fmactual)), file('<stdin>', pax1)).
% 0.21/0.46 thf(pax81, axiom, (p81=>feiw_di @ f__0 @ fmactual), file('<stdin>', pax81)).
% 0.21/0.46 thf(ax83, axiom, p1, file('<stdin>', ax83)).
% 0.21/0.46 thf(ax3, axiom, p81, file('<stdin>', ax3)).
% 0.21/0.46 thf(c_0_6, plain, (~fqmltpeq @ f__0 @ f__0 @ fmactual|p80), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax80])])).
% 0.21/0.46 thf(c_0_7, plain, ~p80, inference(fof_simplification,[status(thm)],[ax4])).
% 0.21/0.46 thf(c_0_8, plain, ![X52:$i]:(~p1|(~feiw_di @ X52 @ fmactual|fqmltpeq @ X52 @ X52 @ fmactual)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.21/0.46 thf(c_0_9, plain, (~p81|feiw_di @ f__0 @ fmactual), inference(fof_nnf,[status(thm)],[pax81])).
% 0.21/0.46 thf(c_0_10, plain, (p80|~fqmltpeq @ f__0 @ f__0 @ fmactual), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.21/0.46 thf(c_0_11, plain, ~p80, inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.21/0.46 thf(c_0_12, plain, ![X1:$i]:(fqmltpeq @ X1 @ X1 @ fmactual|~p1|~feiw_di @ X1 @ fmactual), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.21/0.46 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax83])).
% 0.21/0.46 thf(c_0_14, plain, (feiw_di @ f__0 @ fmactual|~p81), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.21/0.46 thf(c_0_15, plain, p81, inference(split_conjunct,[status(thm)],[ax3])).
% 0.21/0.46 thf(c_0_16, plain, ~fqmltpeq @ f__0 @ f__0 @ fmactual, inference(sr,[status(thm)],[c_0_10, c_0_11])).
% 0.21/0.46 thf(c_0_17, plain, ![X1:$i]:(fqmltpeq @ X1 @ X1 @ fmactual|~feiw_di @ X1 @ fmactual), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.21/0.46 thf(c_0_18, plain, feiw_di @ f__0 @ fmactual, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 0.21/0.46 thf(c_0_19, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']).
% 0.21/0.46 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h2,h3,h1,h0])],[])).
% 0.21/0.46 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,1,h2,h3])).
% 0.21/0.46 thf(3,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,2,h1])).
% 0.21/0.46 thf(0,theorem,(![X1:$i]:(((eiw_di @ X1) @ mactual) => (((qmltpeq @ X1) @ X1) @ mactual))),inference(contra,[status(thm),contra(discharge,[h0])],[3,h0])).
% 0.21/0.46 % SZS output end Proof
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