TSTP Solution File: NLP267^17 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NLP267^17 : 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 : 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 : Mon Jul 18 05:17:08 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NLP267^17 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % 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 Jul 1 05:42:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.37 % SZS status Theorem
% 0.20/0.37 % Mode: mode213
% 0.20/0.37 % Inferences: 46
% 0.20/0.37 % SZS output start Proof
% 0.20/0.37 thf(ty_mindex, type, mindex : $tType).
% 0.20/0.37 thf(ty_mworld, type, mworld : $tType).
% 0.20/0.37 thf(ty_seventy, type, seventy : $i).
% 0.20/0.37 thf(ty_paris, type, paris : $i).
% 0.20/0.37 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.20/0.37 thf(ty_class, type, class : ($i>mworld>$o)).
% 0.20/0.37 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)).
% 0.20/0.37 thf(ty_price, type, price : ($i>mworld>$o)).
% 0.20/0.37 thf(ty_dest, type, dest : ($i>mworld>$o)).
% 0.20/0.37 thf(ty_second, type, second : $i).
% 0.20/0.37 thf(ty_mactual, type, mactual : mworld).
% 0.20/0.37 thf(ty_'#b_s', type, '#b_s' : mindex).
% 0.20/0.37 thf(sP1,plain,sP1 <=> (((mrel @ '#b_s') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.20/0.37 thf(sP2,plain,sP2 <=> ((~((((dest @ paris) @ eigen__0) => (~(((class @ second) @ eigen__0)))))) => ((price @ seventy) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.20/0.37 thf(sP3,plain,sP3 <=> (((dest @ paris) @ eigen__0) => (~(((class @ second) @ eigen__0)))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.20/0.37 thf(sP4,plain,sP4 <=> (sP1 => sP2),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.20/0.37 thf(sP5,plain,sP5 <=> (![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => (~((((dest @ paris) @ X1) => (~(((class @ second) @ X1)))))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.20/0.37 thf(sP6,plain,sP6 <=> (sP1 => (~(sP3))),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.20/0.37 thf(sP7,plain,sP7 <=> ((price @ seventy) @ eigen__0),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.20/0.37 thf(sP8,plain,sP8 <=> (![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((~((((dest @ paris) @ X1) => (~(((class @ second) @ X1)))))) => ((price @ seventy) @ X1)))),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.20/0.37 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.20/0.37 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 0.20/0.37 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 0.20/0.37 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 0.20/0.37 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 0.20/0.37 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 0.20/0.37 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (X2 @ X4)))))))).
% 0.20/0.37 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(~((![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (~((X2 @ X4)))))))))))).
% 0.20/0.37 thf(con,conjecture,(![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1)))).
% 0.20/0.37 thf(h0,negated_conjecture,(~((![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1))))),inference(assume_negation,[status(cth)],[con])).
% 0.20/0.37 thf(h1,assumption,(~((sP1 => sP7))),introduced(assumption,[])).
% 0.20/0.37 thf(h2,assumption,sP1,introduced(assumption,[])).
% 0.20/0.37 thf(h3,assumption,(~(sP7)),introduced(assumption,[])).
% 0.20/0.37 thf(1,plain,(~(sP8) | sP4),inference(all_rule,[status(thm)],[])).
% 0.20/0.37 thf(2,plain,((~(sP4) | ~(sP1)) | sP2),inference(prop_rule,[status(thm)],[])).
% 0.20/0.37 thf(3,plain,((~(sP2) | sP3) | sP7),inference(prop_rule,[status(thm)],[])).
% 0.20/0.37 thf(4,plain,(~(sP5) | sP6),inference(all_rule,[status(thm)],[])).
% 0.20/0.37 thf(5,plain,((~(sP6) | ~(sP1)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 0.20/0.37 thf(axiom_2,axiom,(mlocal @ ((mbox @ '#b_s') @ ((mimplies @ ((mand @ (dest @ paris)) @ (class @ second))) @ (price @ seventy))))).
% 0.20/0.37 thf(6,plain,sP8,inference(preprocess,[status(thm)],[axiom_2]).
% 0.20/0.37 thf(axiom_5,axiom,(mlocal @ ((mbox @ '#b_s') @ ((mand @ (dest @ paris)) @ (class @ second))))).
% 0.20/0.37 thf(7,plain,sP5,inference(preprocess,[status(thm)],[axiom_5]).
% 0.20/0.37 thf(8,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,6,7,h2,h3])).
% 0.20/0.37 thf(9,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,8,h2,h3])).
% 0.20/0.37 thf(10,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,9,h1])).
% 0.20/0.37 thf(0,theorem,(![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1))),inference(contra,[status(thm),contra(discharge,[h0])],[10,h0])).
% 0.20/0.37 % SZS output end Proof
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