TSTP Solution File: LCL955^24 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL955^24 : 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 : n011.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 14:12:10 EDT 2022
% Result : Theorem 45.91s 45.93s
% Output : Proof 45.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL955^24 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n011.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 : Sat Jul 2 18:16:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 45.91/45.93 % SZS status Theorem
% 45.91/45.93 % Mode: mode84:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 45.91/45.93 % Inferences: 1454
% 45.91/45.93 % SZS output start Proof
% 45.91/45.93 thf(ty_mworld, type, mworld : $tType).
% 45.91/45.93 thf(ty_eigen__2, type, eigen__2 : mworld).
% 45.91/45.93 thf(ty_eigen__1, type, eigen__1 : mworld).
% 45.91/45.93 thf(ty_pv65, type, pv65 : $i).
% 45.91/45.93 thf(ty_gt, type, gt : ($i>$i>mworld>$o)).
% 45.91/45.93 thf(ty_eigen__4, type, eigen__4 : mworld).
% 45.91/45.93 thf(ty_eigen__5, type, eigen__5 : mworld).
% 45.91/45.93 thf(ty_mrel, type, mrel : (mworld>mworld>$o)).
% 45.91/45.93 thf(ty_eigen__3, type, eigen__3 : mworld).
% 45.91/45.93 thf(ty_plus, type, plus : ($i>$i>$i)).
% 45.91/45.93 thf(ty_n1, type, n1 : $i).
% 45.91/45.93 thf(ty_tptp_float_0_001, type, tptp_float_0_001 : $i).
% 45.91/45.93 thf(ty_mactual, type, mactual : mworld).
% 45.91/45.93 thf(ty_loopcounter, type, loopcounter : $i).
% 45.91/45.93 thf(ty_geq, type, geq : ($i>$i>mworld>$o)).
% 45.91/45.93 thf(ty_true, type, true : (mworld>$o)).
% 45.91/45.93 thf(h0, assumption, (![X1:mworld>$o]:(![X2:mworld]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
% 45.91/45.93 thf(eigendef_eigen__3, definition, eigen__3 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ eigen__2) @ X1) => (true @ X1)))))), introduced(definition,[new_symbols(definition,[eigen__3])])).
% 45.91/45.93 thf(eigendef_eigen__1, definition, eigen__1 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ mactual) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((geq @ pv65) @ tptp_float_0_001) @ X2))) => (~(((![X2:mworld]:(((mrel @ X1) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (~((![X4:mworld]:(((mrel @ X3) @ X4) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X4))))))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (true @ X3)))))) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X3))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (true @ X3))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__1])])).
% 45.91/45.93 thf(eigendef_eigen__2, definition, eigen__2 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ eigen__1) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X2))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (true @ X2))))))))), introduced(definition,[new_symbols(definition,[eigen__2])])).
% 45.91/45.93 thf(eigendef_eigen__4, definition, eigen__4 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ eigen__1) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (~((![X3:mworld]:(((mrel @ X2) @ X3) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X3))))))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (true @ X2))))))))), introduced(definition,[new_symbols(definition,[eigen__4])])).
% 45.91/45.93 thf(eigendef_eigen__5, definition, eigen__5 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ eigen__4) @ X1) => (true @ X1)))))), introduced(definition,[new_symbols(definition,[eigen__5])])).
% 45.91/45.93 thf(sP1,plain,sP1 <=> (![X1:mworld]:(((mrel @ eigen__2) @ X1) => (true @ X1))),introduced(definition,[new_symbols(definition,[sP1])])).
% 45.91/45.93 thf(sP2,plain,sP2 <=> (![X1:mworld]:(((mrel @ eigen__1) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X2))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (true @ X2)))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 45.91/45.93 thf(sP3,plain,sP3 <=> ((![X1:mworld]:(((mrel @ eigen__2) @ X1) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X1))) => sP1),introduced(definition,[new_symbols(definition,[sP3])])).
% 45.91/45.93 thf(sP4,plain,sP4 <=> (((mrel @ eigen__1) @ eigen__2) => sP3),introduced(definition,[new_symbols(definition,[sP4])])).
% 45.91/45.93 thf(sP5,plain,sP5 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((geq @ pv65) @ tptp_float_0_001) @ X2))) => (~(((![X2:mworld]:(((mrel @ X1) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (~((![X4:mworld]:(((mrel @ X3) @ X4) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X4))))))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (true @ X3)))))) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X3))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (true @ X3)))))))))))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 45.91/45.93 thf(sP6,plain,sP6 <=> (((mrel @ eigen__1) @ eigen__4) => ((![X1:mworld]:(((mrel @ eigen__4) @ X1) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X2))))))) => (![X1:mworld]:(((mrel @ eigen__4) @ X1) => (true @ X1))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 45.91/45.93 thf(sP7,plain,sP7 <=> (true @ eigen__5),introduced(definition,[new_symbols(definition,[sP7])])).
% 45.91/45.93 thf(sP8,plain,sP8 <=> ((mrel @ mactual) @ eigen__5),introduced(definition,[new_symbols(definition,[sP8])])).
% 45.91/45.93 thf(sP9,plain,sP9 <=> (![X1:mworld]:(((mrel @ eigen__1) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (~((![X3:mworld]:(((mrel @ X2) @ X3) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X3))))))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (true @ X2)))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 45.91/45.93 thf(sP10,plain,sP10 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (true @ X1))),introduced(definition,[new_symbols(definition,[sP10])])).
% 45.91/45.93 thf(sP11,plain,sP11 <=> ((![X1:mworld]:(((mrel @ eigen__1) @ X1) => (((geq @ pv65) @ tptp_float_0_001) @ X1))) => (~((sP9 => (~(sP2)))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 45.91/45.93 thf(sP12,plain,sP12 <=> ((!!) @ (mrel @ mactual)),introduced(definition,[new_symbols(definition,[sP12])])).
% 45.91/45.93 thf(sP13,plain,sP13 <=> (sP9 => (~(sP2))),introduced(definition,[new_symbols(definition,[sP13])])).
% 45.91/45.93 thf(sP14,plain,sP14 <=> (((mrel @ mactual) @ eigen__3) => (true @ eigen__3)),introduced(definition,[new_symbols(definition,[sP14])])).
% 45.91/45.93 thf(sP15,plain,sP15 <=> ((![X1:mworld]:(((mrel @ eigen__4) @ X1) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => (((gt @ ((plus @ n1) @ loopcounter)) @ n1) @ X2))))))) => (![X1:mworld]:(((mrel @ eigen__4) @ X1) => (true @ X1)))),introduced(definition,[new_symbols(definition,[sP15])])).
% 45.91/45.93 thf(sP16,plain,sP16 <=> (![X1:mworld]:((!!) @ (mrel @ X1))),introduced(definition,[new_symbols(definition,[sP16])])).
% 45.91/45.93 thf(sP17,plain,sP17 <=> ((mrel @ mactual) @ eigen__3),introduced(definition,[new_symbols(definition,[sP17])])).
% 45.91/45.93 thf(sP18,plain,sP18 <=> (((mrel @ mactual) @ eigen__1) => sP11),introduced(definition,[new_symbols(definition,[sP18])])).
% 45.91/45.93 thf(sP19,plain,sP19 <=> (sP8 => sP7),introduced(definition,[new_symbols(definition,[sP19])])).
% 45.91/45.93 thf(sP20,plain,sP20 <=> (((mrel @ eigen__2) @ eigen__3) => (true @ eigen__3)),introduced(definition,[new_symbols(definition,[sP20])])).
% 45.91/45.93 thf(sP21,plain,sP21 <=> (((mrel @ eigen__4) @ eigen__5) => sP7),introduced(definition,[new_symbols(definition,[sP21])])).
% 45.91/45.93 thf(sP22,plain,sP22 <=> (![X1:mworld]:(((mrel @ eigen__4) @ X1) => (true @ X1))),introduced(definition,[new_symbols(definition,[sP22])])).
% 45.91/45.93 thf(sP23,plain,sP23 <=> (true @ eigen__3),introduced(definition,[new_symbols(definition,[sP23])])).
% 45.91/45.93 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 45.91/45.93 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 45.91/45.93 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 45.91/45.93 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 45.91/45.93 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 45.91/45.93 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 45.91/45.93 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:(((eiw_di @ X3) @ X2) => ((X1 @ X3) @ X2))))))).
% 45.91/45.93 thf(cl5_nebula_array_0028,conjecture,sP5).
% 45.91/45.93 thf(h1,negated_conjecture,(~(sP5)),inference(assume_negation,[status(cth)],[cl5_nebula_array_0028])).
% 45.91/45.93 thf(1,plain,((~(sP14) | ~(sP17)) | sP23),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(2,plain,(~(sP12) | sP17),inference(all_rule,[status(thm)],[])).
% 45.91/45.93 thf(3,plain,(~(sP12) | sP8),inference(all_rule,[status(thm)],[])).
% 45.91/45.93 thf(4,plain,((~(sP19) | ~(sP8)) | sP7),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(5,plain,(~(sP10) | sP19),inference(all_rule,[status(thm)],[])).
% 45.91/45.93 thf(6,plain,(~(sP16) | sP12),inference(all_rule,[status(thm)],[])).
% 45.91/45.93 thf(7,plain,(~(sP10) | sP14),inference(all_rule,[status(thm)],[])).
% 45.91/45.93 thf(8,plain,(sP21 | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(9,plain,(sP22 | ~(sP21)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__5])).
% 45.91/45.93 thf(10,plain,(sP15 | ~(sP22)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(11,plain,(sP6 | ~(sP15)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(12,plain,(sP9 | ~(sP6)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4])).
% 45.91/45.93 thf(13,plain,(sP20 | ~(sP23)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(14,plain,(sP1 | ~(sP20)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3])).
% 45.91/45.93 thf(15,plain,(sP3 | ~(sP1)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(16,plain,(sP4 | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(17,plain,(sP2 | ~(sP4)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2])).
% 45.91/45.93 thf(18,plain,((~(sP13) | ~(sP9)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(19,plain,(sP11 | sP13),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(20,plain,(sP18 | ~(sP11)),inference(prop_rule,[status(thm)],[])).
% 45.91/45.93 thf(21,plain,(sP5 | ~(sP18)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1])).
% 45.91/45.93 thf(mrel_universal,axiom,sP16).
% 45.91/45.93 thf(ttrue,axiom,(mlocal @ (mbox @ true))).
% 45.91/45.93 thf(22,plain,sP10,inference(preprocess,[status(thm)],[ttrue]).
% 45.91/45.93 thf(23,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,mrel_universal,22,h1])).
% 45.91/45.93 thf(24,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[23,h0])).
% 45.91/45.93 thf(0,theorem,sP5,inference(contra,[status(thm),contra(discharge,[h1])],[23,h1])).
% 45.91/45.93 % SZS output end Proof
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