TSTP Solution File: LCL962^16 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : LCL962^16 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n032.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 : 300s
% DateTime : Thu Aug 31 08:06:07 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL962^16 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.09 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Fri Aug 25 03:48:12 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.13/0.35 % SZS status Theorem
% 0.13/0.35 % Mode: cade22grackle2xfee4
% 0.13/0.35 % Steps: 69
% 0.13/0.35 % SZS output start Proof
% 0.13/0.35 thf(ty_mindex, type, mindex : $tType).
% 0.13/0.35 thf(ty_mworld, type, mworld : $tType).
% 0.13/0.35 thf(ty_'#a', type, '#a' : mindex).
% 0.13/0.35 thf(ty_mactual, type, mactual : mworld).
% 0.13/0.35 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.13/0.35 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)).
% 0.13/0.35 thf(ty_p, type, p : (mworld>$o)).
% 0.13/0.35 thf(ty_'#b', type, '#b' : mindex).
% 0.13/0.35 thf(sP1,plain,sP1 <=> (p @ mactual),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.13/0.35 thf(sP2,plain,sP2 <=> ((((mrel @ '#a') @ mactual) @ eigen__0) => (~((![X1:mworld]:((((mrel @ '#b') @ eigen__0) @ X1) => (p @ X1)))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.13/0.35 thf(sP3,plain,sP3 <=> (![X1:mworld]:((((mrel @ '#b') @ mactual) @ X1) => (p @ X1))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.13/0.35 thf(sP4,plain,sP4 <=> ((((mrel @ '#a') @ mactual) @ eigen__0) => ((p @ eigen__0) => (![X1:mworld]:((((mrel @ '#b') @ eigen__0) @ X1) => (p @ X1))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.13/0.35 thf(sP5,plain,sP5 <=> (![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => ((p @ X1) => (![X2:mworld]:((((mrel @ '#b') @ X1) @ X2) => (p @ X2)))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.13/0.35 thf(sP6,plain,sP6 <=> (![X1:mworld]:((((mrel @ '#b') @ eigen__0) @ X1) => (p @ X1))),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.13/0.35 thf(sP7,plain,sP7 <=> ((~(sP3)) => (![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((![X2:mworld]:((((mrel @ '#b') @ X1) @ X2) => (p @ X2)))))))),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.13/0.35 thf(sP8,plain,sP8 <=> ((((mrel @ '#b') @ mactual) @ mactual) => sP1),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.13/0.35 thf(sP9,plain,sP9 <=> (((mrel @ '#a') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.13/0.35 thf(sP10,plain,sP10 <=> (![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((![X2:mworld]:((((mrel @ '#b') @ X1) @ X2) => (p @ X2))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.13/0.35 thf(sP11,plain,sP11 <=> ((p @ eigen__0) => sP6),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.13/0.35 thf(sP12,plain,sP12 <=> (![X1:mworld]:(((mrel @ '#b') @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.13/0.35 thf(sP13,plain,sP13 <=> (p @ eigen__0),introduced(definition,[new_symbols(definition,[sP13])])).
% 0.13/0.35 thf(sP14,plain,sP14 <=> (((mrel @ '#b') @ mactual) @ mactual),introduced(definition,[new_symbols(definition,[sP14])])).
% 0.13/0.35 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.13/0.35 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:((~) @ (X1 @ X2)))))).
% 0.13/0.35 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) & (X2 @ X3))))))).
% 0.13/0.35 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) | (X2 @ X3))))))).
% 0.13/0.35 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(((^[X4:$o]:(^[X5:$o]:(X4 => X5))) @ (X1 @ X3)) @ (X2 @ X3))))))).
% 0.13/0.35 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) <=> (X2 @ X3))))))).
% 0.13/0.35 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:(((^[X5:$o]:(^[X6:$o]:(X5 => X6))) @ (((mrel @ X1) @ X3) @ X4)) @ (X2 @ X4)))))))).
% 0.13/0.35 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(?[X4:mworld]:((((mrel @ X1) @ X3) @ X4) & (X2 @ X4)))))))).
% 0.13/0.35 thf(conj,conjecture,(![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1)))))).
% 0.13/0.35 thf(h0,negated_conjecture,(~((![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1))))))),inference(assume_negation,[status(cth)],[conj])).
% 0.13/0.35 thf(h1,assumption,(~((sP9 => (~(sP13))))),introduced(assumption,[])).
% 0.13/0.35 thf(h2,assumption,sP9,introduced(assumption,[])).
% 0.13/0.35 thf(h3,assumption,sP13,introduced(assumption,[])).
% 0.13/0.35 thf(1,plain,((~(sP11) | ~(sP13)) | sP6),inference(prop_rule,[status(thm)],[])).
% 0.13/0.35 thf(2,plain,((~(sP4) | ~(sP9)) | sP11),inference(prop_rule,[status(thm)],[])).
% 0.13/0.35 thf(3,plain,((~(sP2) | ~(sP9)) | ~(sP6)),inference(prop_rule,[status(thm)],[])).
% 0.13/0.35 thf(4,plain,(~(sP5) | sP4),inference(all_rule,[status(thm)],[])).
% 0.13/0.35 thf(5,plain,(~(sP10) | sP2),inference(all_rule,[status(thm)],[])).
% 0.13/0.35 thf(6,plain,((~(sP8) | ~(sP14)) | sP1),inference(prop_rule,[status(thm)],[])).
% 0.13/0.35 thf(7,plain,(~(sP12) | sP14),inference(all_rule,[status(thm)],[])).
% 0.13/0.35 thf(8,plain,(~(sP3) | sP8),inference(all_rule,[status(thm)],[])).
% 0.13/0.35 thf(9,plain,((~(sP7) | sP3) | sP10),inference(prop_rule,[status(thm)],[])).
% 0.13/0.35 thf(not_a_axiom_1,axiom,(~(sP1))).
% 0.13/0.35 thf(ab_axiom_2,axiom,sP7).
% 0.13/0.35 thf(ab_axiom_1,axiom,sP5).
% 0.13/0.35 thf('mrel_#b_reflexive',axiom,sP12).
% 0.13/0.35 thf(10,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,h2,h3,not_a_axiom_1,ab_axiom_2,ab_axiom_1,'mrel_#b_reflexive'])).
% 0.13/0.35 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,10,h2,h3])).
% 0.13/0.35 thf(12,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,11,h1])).
% 0.13/0.35 thf(0,theorem,(![X1:mworld]:((((mrel @ '#a') @ mactual) @ X1) => (~((p @ X1))))),inference(contra,[status(thm),contra(discharge,[h0])],[12,h0])).
% 0.13/0.35 % SZS output end Proof
%------------------------------------------------------------------------------