TSTP Solution File: DAT334^8 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : DAT334^8 : 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 : n029.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 : Sat Jul 16 01:25:36 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : DAT334^8 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 18:32:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % Mode: mode213
% 0.12/0.35 % Inferences: 10
% 0.12/0.35 % SZS output start Proof
% 0.12/0.35 thf(ty_mworld, type, mworld : $tType).
% 0.12/0.35 thf(ty_eiw_di, type, eiw_di : ($i>mworld>$o)).
% 0.12/0.35 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.12/0.35 thf(ty_john, type, john : $i).
% 0.12/0.35 thf(ty_mrel, type, mrel : (mworld>mworld>$o)).
% 0.12/0.35 thf(ty_math, type, math : $i).
% 0.12/0.35 thf(ty_mactual, type, mactual : mworld).
% 0.12/0.35 thf(ty_psych, type, psych : $i).
% 0.12/0.35 thf(ty_teach, type, teach : ($i>$i>mworld>$o)).
% 0.12/0.35 thf(ty_cs, type, cs : $i).
% 0.12/0.35 thf(ty_mary, type, mary : $i).
% 0.12/0.35 thf(ty_sue, type, sue : $i).
% 0.12/0.35 thf(sP1,plain,sP1 <=> ((mrel @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.35 thf(sP2,plain,sP2 <=> (sP1 => (~(((((teach @ john) @ math) @ eigen__0) => ((~((![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))))) => ((((teach @ mary) @ psych) @ eigen__0) => (~((((teach @ sue) @ psych) @ eigen__0))))))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.12/0.35 thf(sP3,plain,sP3 <=> ((((teach @ john) @ math) @ eigen__0) => ((~((![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))))) => ((((teach @ mary) @ psych) @ eigen__0) => (~((((teach @ sue) @ psych) @ eigen__0)))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.12/0.35 thf(sP4,plain,sP4 <=> ((~((![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))))) => ((((teach @ mary) @ psych) @ eigen__0) => (~((((teach @ sue) @ psych) @ eigen__0))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.12/0.35 thf(sP5,plain,sP5 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (~(((((teach @ john) @ math) @ X1) => ((~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))) => ((((teach @ mary) @ psych) @ X1) => (~((((teach @ sue) @ psych) @ X1)))))))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.12/0.35 thf(sP6,plain,sP6 <=> (![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.12/0.35 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.12/0.35 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 0.12/0.35 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 0.12/0.35 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 0.12/0.35 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 0.12/0.35 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 0.12/0.35 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 0.12/0.35 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))).
% 0.12/0.35 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:(((eiw_di @ X3) @ X2) => ((X1 @ X3) @ X2))))))).
% 0.12/0.35 thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(((eiw_di @ X3) @ X2) => (~(((X1 @ X3) @ X2))))))))))).
% 0.12/0.35 thf(query,conjecture,(![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1)))))))))).
% 0.12/0.35 thf(h0,negated_conjecture,(~((![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))))))),inference(assume_negation,[status(cth)],[query])).
% 0.12/0.35 thf(h1,assumption,(~((sP1 => (~(sP6))))),introduced(assumption,[])).
% 0.12/0.35 thf(h2,assumption,sP1,introduced(assumption,[])).
% 0.12/0.35 thf(h3,assumption,sP6,introduced(assumption,[])).
% 0.12/0.35 thf(1,plain,(sP4 | ~(sP6)),inference(prop_rule,[status(thm)],[])).
% 0.12/0.35 thf(2,plain,(sP3 | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 0.12/0.35 thf(3,plain,(~(sP5) | sP2),inference(all_rule,[status(thm)],[])).
% 0.12/0.35 thf(4,plain,((~(sP2) | ~(sP1)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 0.12/0.35 thf(db,axiom,(mlocal @ (mbox @ ((mand @ ((teach @ john) @ math)) @ ((mand @ (mexists_di @ (^[X1:$i]:((teach @ X1) @ cs)))) @ ((mand @ ((teach @ mary) @ psych)) @ ((teach @ sue) @ psych))))))).
% 0.12/0.35 thf(5,plain,sP5,inference(preprocess,[status(thm)],[db]).
% 0.12/0.35 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,h2,h3])).
% 0.12/0.35 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,6,h2,h3])).
% 0.12/0.35 thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,7,h1])).
% 0.12/0.35 thf(0,theorem,(![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])).
% 0.12/0.35 % SZS output end Proof
%------------------------------------------------------------------------------