TSTP Solution File: NLP265^17 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NLP265^17 : 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 : n007.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 : Mon Jul 18 05:17:04 EDT 2022
% Result : Theorem 0.65s 0.89s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NLP265^17 : TPTP v8.1.0. Released v8.1.0.
% 0.02/0.11 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 18:46:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.65/0.89 % SZS status Theorem
% 0.65/0.89 % Mode: mode213
% 0.65/0.89 % Inferences: 3559
% 0.65/0.89 % SZS output start Proof
% 0.65/0.89 thf(ty_mindex, type, mindex : $tType).
% 0.65/0.89 thf(ty_mworld, type, mworld : $tType).
% 0.65/0.89 thf(ty_'#b_bob', type, '#b_bob' : mindex).
% 0.65/0.89 thf(ty_bigcity, type, bigcity : ($i>mworld>$o)).
% 0.65/0.89 thf(ty_portland, type, portland : $i).
% 0.65/0.89 thf(ty_eigen__1, type, eigen__1 : mworld).
% 0.65/0.89 thf(ty_'#i_alice', type, '#i_alice' : mindex).
% 0.65/0.89 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.65/0.89 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)).
% 0.65/0.89 thf(ty_mactual, type, mactual : mworld).
% 0.65/0.89 thf(ty_'#b_alice', type, '#b_alice' : mindex).
% 0.65/0.89 thf(sP1,plain,sP1 <=> (![X1:mworld]:((((mrel @ '#i_alice') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#b_bob') @ X1) @ X2) => ((bigcity @ portland) @ X2))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.65/0.89 thf(sP2,plain,sP2 <=> (((mrel @ '#b_bob') @ eigen__0) @ eigen__1),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.65/0.89 thf(sP3,plain,sP3 <=> (![X1:mworld]:((((mrel @ '#b_alice') @ mactual) @ X1) => ((~((((bigcity @ portland) @ X1) => (~((![X2:mworld]:((((mrel @ '#b_alice') @ X1) @ X2) => (![X3:mworld]:((((mrel @ '#b_bob') @ X2) @ X3) => (~(((bigcity @ portland) @ X3)))))))))))) => (![X2:mworld]:((((mrel @ '#i_alice') @ X1) @ X2) => (![X3:mworld]:((((mrel @ '#b_bob') @ X2) @ X3) => ((bigcity @ portland) @ X3)))))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.65/0.89 thf(sP4,plain,sP4 <=> (![X1:mworld]:((((mrel @ '#b_alice') @ mactual) @ X1) => ((bigcity @ portland) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.65/0.89 thf(sP5,plain,sP5 <=> ((~((((bigcity @ portland) @ mactual) => (~((![X1:mworld]:((((mrel @ '#b_alice') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#b_bob') @ X1) @ X2) => (~(((bigcity @ portland) @ X2)))))))))))) => sP1),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.65/0.89 thf(sP6,plain,sP6 <=> ((bigcity @ portland) @ mactual),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.65/0.89 thf(sP7,plain,sP7 <=> ((((mrel @ '#i_alice') @ mactual) @ eigen__0) => (![X1:mworld]:((((mrel @ '#b_bob') @ eigen__0) @ X1) => ((bigcity @ portland) @ X1)))),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.65/0.89 thf(sP8,plain,sP8 <=> ((((mrel @ '#b_alice') @ mactual) @ mactual) => sP6),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.65/0.89 thf(sP9,plain,sP9 <=> (![X1:mworld]:(((mrel @ '#b_alice') @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.65/0.89 thf(sP10,plain,sP10 <=> (sP6 => (~((![X1:mworld]:((((mrel @ '#b_alice') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#b_bob') @ X1) @ X2) => (~(((bigcity @ portland) @ X2)))))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.65/0.89 thf(sP11,plain,sP11 <=> (sP2 => ((bigcity @ portland) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.65/0.89 thf(sP12,plain,sP12 <=> (![X1:mworld]:((((mrel @ '#b_bob') @ eigen__0) @ X1) => ((bigcity @ portland) @ X1))),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.65/0.89 thf(sP13,plain,sP13 <=> (((mrel @ '#i_alice') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP13])])).
% 0.65/0.89 thf(sP14,plain,sP14 <=> ((((mrel @ '#b_alice') @ mactual) @ mactual) => sP5),introduced(definition,[new_symbols(definition,[sP14])])).
% 0.65/0.89 thf(sP15,plain,sP15 <=> ((bigcity @ portland) @ eigen__1),introduced(definition,[new_symbols(definition,[sP15])])).
% 0.65/0.89 thf(sP16,plain,sP16 <=> (![X1:mworld]:((((mrel @ '#b_alice') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#b_bob') @ X1) @ X2) => (~(((bigcity @ portland) @ X2))))))),introduced(definition,[new_symbols(definition,[sP16])])).
% 0.65/0.89 thf(sP17,plain,sP17 <=> (((mrel @ '#b_alice') @ mactual) @ mactual),introduced(definition,[new_symbols(definition,[sP17])])).
% 0.65/0.89 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.65/0.89 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 0.65/0.89 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 0.65/0.89 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 0.65/0.89 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 0.65/0.89 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 0.65/0.89 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (X2 @ X4)))))))).
% 0.65/0.89 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(~((![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (~((X2 @ X4)))))))))))).
% 0.65/0.89 thf(con,conjecture,sP1).
% 0.65/0.89 thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[con])).
% 0.65/0.89 thf(h1,assumption,(~(sP7)),introduced(assumption,[])).
% 0.65/0.89 thf(h2,assumption,sP13,introduced(assumption,[])).
% 0.65/0.89 thf(h3,assumption,(~(sP12)),introduced(assumption,[])).
% 0.65/0.89 thf(h4,assumption,(~(sP11)),introduced(assumption,[])).
% 0.65/0.89 thf(h5,assumption,sP2,introduced(assumption,[])).
% 0.65/0.89 thf(h6,assumption,(~(sP15)),introduced(assumption,[])).
% 0.65/0.89 thf(1,plain,(~(sP4) | sP8),inference(all_rule,[status(thm)],[])).
% 0.65/0.89 thf(2,plain,((~(sP8) | ~(sP17)) | sP6),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf(3,plain,(~(sP9) | sP17),inference(all_rule,[status(thm)],[])).
% 0.65/0.89 thf(4,plain,(~(sP12) | sP11),inference(all_rule,[status(thm)],[])).
% 0.65/0.89 thf(5,plain,((~(sP11) | ~(sP2)) | sP15),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf(6,plain,(~(sP3) | sP14),inference(all_rule,[status(thm)],[])).
% 0.65/0.89 thf(7,plain,((~(sP14) | ~(sP17)) | sP5),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf(8,plain,((~(sP5) | sP10) | sP1),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf(9,plain,((~(sP10) | ~(sP6)) | ~(sP16)),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf(10,plain,(~(sP1) | sP7),inference(all_rule,[status(thm)],[])).
% 0.65/0.89 thf(11,plain,((~(sP7) | ~(sP13)) | sP12),inference(prop_rule,[status(thm)],[])).
% 0.65/0.89 thf('mrel_#b_alice_reflexive',axiom,sP9).
% 0.65/0.89 thf(axiom_1_alice,axiom,(mlocal @ ((mbox @ '#b_alice') @ ((mimplies @ ((mand @ (bigcity @ portland)) @ ((mbox @ '#b_alice') @ ((mbox @ '#b_bob') @ (mnot @ (bigcity @ portland)))))) @ ((mbox @ '#i_alice') @ ((mbox @ '#b_bob') @ (bigcity @ portland))))))).
% 0.65/0.89 thf(12,plain,sP3,inference(preprocess,[status(thm)],[axiom_1_alice]).
% 0.65/0.89 thf(axiom_2,axiom,(mlocal @ ((mbox @ '#b_alice') @ (bigcity @ portland)))).
% 0.65/0.89 thf(13,plain,sP4,inference(preprocess,[status(thm)],[axiom_2]).
% 0.65/0.89 thf(axiom_3,axiom,(mlocal @ ((mbox @ '#b_alice') @ ((mbox @ '#b_bob') @ (mnot @ (bigcity @ portland)))))).
% 0.65/0.89 thf(14,plain,sP16,inference(preprocess,[status(thm)],[axiom_3]).
% 0.65/0.89 thf(15,plain,$false,inference(prop_unsat,[status(thm),assumptions([h5,h6,h4,h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,'mrel_#b_alice_reflexive',12,13,14,h2,h5,h6])).
% 0.65/0.89 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h2,h3,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,15,h5,h6])).
% 0.65/0.89 thf(17,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h3,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__1)],[h3,16,h4])).
% 0.65/0.89 thf(18,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,17,h2,h3])).
% 0.65/0.89 thf(19,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,18,h1])).
% 0.65/0.89 thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[19,h0])).
% 0.65/0.89 % SZS output end Proof
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