TSTP Solution File: LCL962^16 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL962^16 : 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 : n015.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 14:12:13 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL962^16 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n015.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 : Mon Jul 4 01:44:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % Mode: mode213
% 0.13/0.38 % Inferences: 58
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 thf(ty_mindex, type, mindex : $tType).
% 0.13/0.38 thf(ty_mworld, type, mworld : $tType).
% 0.13/0.38 thf(ty_p, type, p : (mworld>$o)).
% 0.13/0.38 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.13/0.38 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)).
% 0.13/0.38 thf(ty_'#b', type, '#b' : mindex).
% 0.13/0.38 thf(ty_mactual, type, mactual : mworld).
% 0.13/0.38 thf(ty_'#a', type, '#a' : mindex).
% 0.13/0.38 thf(sP1,plain,sP1 <=> (((mrel @ '#a') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.13/0.38 thf(sP2,plain,sP2 <=> (![X1:mworld]:((((mrel @ '#b') @ eigen__0) @ X1) => (p @ X1))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.13/0.38 thf(sP3,plain,sP3 <=> (![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => ((p @ X1) => (![X2:mworld]:((((mrel @ '#b') @ X1) @ X2) => (p @ X2)))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.13/0.38 thf(sP4,plain,sP4 <=> (sP1 => (~(sP2))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.13/0.38 thf(sP5,plain,sP5 <=> (![X1:mworld]:(((mrel @ '#b') @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.13/0.38 thf(sP6,plain,sP6 <=> ((p @ eigen__0) => sP2),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.13/0.38 thf(sP7,plain,sP7 <=> ((((mrel @ '#b') @ mactual) @ mactual) => (p @ mactual)),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.13/0.38 thf(sP8,plain,sP8 <=> (p @ mactual),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.13/0.38 thf(sP9,plain,sP9 <=> (((mrel @ '#b') @ mactual) @ mactual),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.13/0.38 thf(sP10,plain,sP10 <=> (p @ eigen__0),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.13/0.38 thf(sP11,plain,sP11 <=> (sP1 => sP6),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.13/0.38 thf(sP12,plain,sP12 <=> (![X1:mworld]:((((mrel @ '#b') @ mactual) @ X1) => (p @ X1))),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.13/0.38 thf(sP13,plain,sP13 <=> (![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((![X2:mworld]:((((mrel @ '#b') @ X1) @ X2) => (p @ X2))))))),introduced(definition,[new_symbols(definition,[sP13])])).
% 0.13/0.38 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.13/0.38 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 0.13/0.38 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 0.13/0.38 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 0.13/0.38 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 0.13/0.38 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 0.13/0.38 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (X2 @ X4)))))))).
% 0.13/0.38 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(~((![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (~((X2 @ X4)))))))))))).
% 0.13/0.38 thf(conj,conjecture,(![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1)))))).
% 0.13/0.38 thf(h0,negated_conjecture,(~((![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1))))))),inference(assume_negation,[status(cth)],[conj])).
% 0.13/0.38 thf(h1,assumption,(~((sP1 => (~(sP10))))),introduced(assumption,[])).
% 0.13/0.38 thf(h2,assumption,sP1,introduced(assumption,[])).
% 0.13/0.38 thf(h3,assumption,sP10,introduced(assumption,[])).
% 0.13/0.38 thf(h4,assumption,sP12,introduced(assumption,[])).
% 0.13/0.38 thf(h5,assumption,sP13,introduced(assumption,[])).
% 0.13/0.38 thf(1,plain,(~(sP5) | sP9),inference(all_rule,[status(thm)],[])).
% 0.13/0.38 thf(2,plain,(~(sP12) | sP7),inference(all_rule,[status(thm)],[])).
% 0.13/0.38 thf(3,plain,((~(sP7) | ~(sP9)) | sP8),inference(prop_rule,[status(thm)],[])).
% 0.13/0.38 thf('mrel_#b_reflexive',axiom,sP5).
% 0.13/0.38 thf(not_a_axiom_1,axiom,(mlocal @ (mnot @ p))).
% 0.13/0.38 thf(4,plain,(~(sP8)),inference(preprocess,[status(thm)],[not_a_axiom_1]).
% 0.13/0.38 thf(5,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h2,h3,h1,h0])],[1,2,3,'mrel_#b_reflexive',h4,4])).
% 0.13/0.38 thf(6,plain,(~(sP13) | sP4),inference(all_rule,[status(thm)],[])).
% 0.13/0.38 thf(7,plain,((~(sP4) | ~(sP1)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 0.13/0.38 thf(8,plain,(~(sP3) | sP11),inference(all_rule,[status(thm)],[])).
% 0.13/0.38 thf(9,plain,((~(sP11) | ~(sP1)) | sP6),inference(prop_rule,[status(thm)],[])).
% 0.13/0.38 thf(10,plain,((~(sP6) | ~(sP10)) | sP2),inference(prop_rule,[status(thm)],[])).
% 0.13/0.38 thf(ab_axiom_1,axiom,(mlocal @ ((mbox @ '#a') @ ((mimplies @ p) @ ((mbox @ '#b') @ p))))).
% 0.13/0.38 thf(11,plain,sP3,inference(preprocess,[status(thm)],[ab_axiom_1]).
% 0.13/0.38 thf(12,plain,$false,inference(prop_unsat,[status(thm),assumptions([h5,h2,h3,h1,h0])],[6,7,8,9,10,11,h5,h2,h3])).
% 0.13/0.38 thf(ab_axiom_2,axiom,(mlocal @ ((mimplies @ (mnot @ ((mbox @ '#b') @ p))) @ ((mbox @ '#a') @ (mnot @ ((mbox @ '#b') @ p)))))).
% 0.13/0.38 thf(13,plain,((~(sP12)) => sP13),inference(preprocess,[status(thm)],[ab_axiom_2]).
% 0.13/0.38 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h3,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[13,5,12,h4,h5])).
% 0.13/0.38 thf(15,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,14,h2,h3])).
% 0.13/0.38 thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,15,h1])).
% 0.13/0.38 thf(0,theorem,(![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1))))),inference(contra,[status(thm),contra(discharge,[h0])],[16,h0])).
% 0.13/0.38 % SZS output end Proof
%------------------------------------------------------------------------------