TSTP Solution File: PUZ149^13 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : PUZ149^13 : 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 : n006.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 13:22:08 EDT 2023
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ149^13 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.09/0.31 % Computer : n006.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Sat Aug 26 22:45:07 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % Mode: cade22grackle2xfee4
% 0.14/0.38 % Steps: 498
% 0.14/0.38 % SZS output start Proof
% 0.14/0.38 thf(ty_mindex, type, mindex : $tType).
% 0.14/0.38 thf(ty_mworld, type, mworld : $tType).
% 0.14/0.38 thf(ty_mactual, type, mactual : mworld).
% 0.14/0.38 thf(ty_'#make_c', type, '#make_c' : mindex).
% 0.14/0.38 thf(ty_'#pour_a', type, '#pour_a' : mindex).
% 0.14/0.38 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.14/0.38 thf(ty_eigen__2, type, eigen__2 : mworld).
% 0.14/0.38 thf(ty_acid, type, acid : (mworld>$o)).
% 0.14/0.38 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)).
% 0.14/0.38 thf(ty_'#pour_b', type, '#pour_b' : mindex).
% 0.14/0.38 thf(h0, assumption, (![X1:mworld>$o]:(![X2:mworld]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
% 0.14/0.38 thf(eigendef_eigen__2, definition, eigen__2 = (eps__0 @ (^[X1:mworld]:(~(((((mrel @ '#pour_a') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2)))))))))), introduced(definition,[new_symbols(definition,[eigen__2])])).
% 0.14/0.38 thf(sP1,plain,sP1 <=> ((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2))))))) => (![X1:mworld]:((((mrel @ '#make_c') @ mactual) @ X1) => (~((acid @ X1)))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.14/0.38 thf(sP2,plain,sP2 <=> (((mrel @ '#make_c') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.14/0.38 thf(sP3,plain,sP3 <=> (acid @ eigen__2),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.14/0.38 thf(sP4,plain,sP4 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((acid @ X1))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.14/0.38 thf(sP5,plain,sP5 <=> (sP2 => (~((acid @ eigen__0)))),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.14/0.38 thf(sP6,plain,sP6 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => sP3),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.14/0.38 thf(sP7,plain,sP7 <=> (acid @ eigen__0),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.14/0.38 thf(sP8,plain,sP8 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => (![X1:mworld]:((((mrel @ '#pour_b') @ eigen__2) @ X1) => (~((acid @ X1)))))),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.14/0.38 thf(sP9,plain,sP9 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => (~(sP3))),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.14/0.38 thf(sP10,plain,sP10 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.14/0.38 thf(sP11,plain,sP11 <=> ((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (acid @ X1))))) => sP10),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.14/0.38 thf(sP12,plain,sP12 <=> (![X1:mworld]:((((mrel @ '#make_c') @ mactual) @ X1) => (~((acid @ X1))))),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.14/0.38 thf(sP13,plain,sP13 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (acid @ X1))),introduced(definition,[new_symbols(definition,[sP13])])).
% 0.14/0.38 thf(sP14,plain,sP14 <=> (((mrel @ '#pour_a') @ mactual) @ eigen__2),introduced(definition,[new_symbols(definition,[sP14])])).
% 0.14/0.38 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.14/0.38 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:((~) @ (X1 @ X2)))))).
% 0.14/0.38 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) & (X2 @ X3))))))).
% 0.14/0.38 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) | (X2 @ X3))))))).
% 0.14/0.38 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(((^[X4:$o]:(^[X5:$o]:(X4 => X5))) @ (X1 @ X3)) @ (X2 @ X3))))))).
% 0.14/0.38 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) <=> (X2 @ X3))))))).
% 0.14/0.38 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:(((^[X5:$o]:(^[X6:$o]:(X5 => X6))) @ (((mrel @ X1) @ X3) @ X4)) @ (X2 @ X4)))))))).
% 0.14/0.38 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(?[X4:mworld]:((((mrel @ X1) @ X3) @ X4) & (X2 @ X4)))))))).
% 0.14/0.38 thf(conj,conjecture,(~(sP11))).
% 0.14/0.38 thf(h1,negated_conjecture,sP11,inference(assume_negation,[status(cth)],[conj])).
% 0.14/0.38 thf(h2,assumption,(~(sP5)),introduced(assumption,[])).
% 0.14/0.38 thf(h3,assumption,sP2,introduced(assumption,[])).
% 0.14/0.38 thf(h4,assumption,sP7,introduced(assumption,[])).
% 0.14/0.38 thf(1,plain,((~(sP9) | ~(sP14)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(2,plain,((~(sP6) | ~(sP14)) | sP3),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(3,plain,(~(sP4) | sP9),inference(all_rule,[status(thm)],[])).
% 0.14/0.38 thf(4,plain,(~(sP13) | sP6),inference(all_rule,[status(thm)],[])).
% 0.14/0.38 thf(5,plain,((~(sP5) | ~(sP2)) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(6,plain,(~(sP12) | sP5),inference(all_rule,[status(thm)],[])).
% 0.14/0.38 thf(7,plain,(sP8 | sP14),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(8,plain,(sP10 | ~(sP8)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2])).
% 0.14/0.38 thf(9,plain,((~(sP11) | sP13) | sP10),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(10,plain,((~(sP1) | ~(sP10)) | sP12),inference(prop_rule,[status(thm)],[])).
% 0.14/0.38 thf(pour_a_acid,axiom,sP4).
% 0.14/0.38 thf(pour_ab_make_axiom_2,axiom,sP1).
% 0.14/0.38 thf(11,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h4,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,h1,h3,h4,pour_a_acid,pour_ab_make_axiom_2])).
% 0.14/0.38 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,11,h3,h4])).
% 0.14/0.38 thf(make_c_acid,axiom,(~(sP12))).
% 0.14/0.38 thf(13,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[make_c_acid,12,h2])).
% 0.14/0.38 thf(14,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[13,h0])).
% 0.14/0.38 thf(0,theorem,(~(sP11)),inference(contra,[status(thm),contra(discharge,[h1])],[13,h1])).
% 0.14/0.38 % SZS output end Proof
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