TSTP Solution File: SEV288^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV288^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n016.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 : Tue Jul 19 18:05:44 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV288^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n016.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 : Mon Jun 27 21:24:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 % SZS status Theorem
% 0.18/0.35 % Mode: mode213
% 0.18/0.35 % Inferences: 4
% 0.18/0.35 % SZS output start Proof
% 0.18/0.35 thf(ty_a, type, a : $tType).
% 0.18/0.35 thf(ty_eigen__2, type, eigen__2 : (a>$o)).
% 0.18/0.35 thf(ty_eigen__1, type, eigen__1 : a).
% 0.18/0.35 thf(ty_eigen__0, type, eigen__0 : a).
% 0.18/0.35 thf(sP1,plain,sP1 <=> (eigen__2 @ eigen__1),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.18/0.35 thf(sP2,plain,sP2 <=> (eigen__2 @ eigen__0),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.18/0.35 thf(sP3,plain,sP3 <=> (eigen__0 = eigen__1),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.18/0.35 thf(cE1_eq__pme,conjecture,((^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2))))) = (=))).
% 0.18/0.35 thf(h0,negated_conjecture,(~(((^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2))))) = (=)))),inference(assume_negation,[status(cth)],[cE1_eq__pme])).
% 0.18/0.35 thf(h1,assumption,(~((![X1:a]:((^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))) = ((=) @ X1))))),introduced(assumption,[])).
% 0.18/0.35 thf(h2,assumption,(~(((^[X1:a]:(![X2:a>$o]:((X2 @ eigen__0) => (X2 @ X1)))) = ((=) @ eigen__0)))),introduced(assumption,[])).
% 0.18/0.35 thf(h3,assumption,(~((![X1:a]:((![X2:a>$o]:((X2 @ eigen__0) => (X2 @ X1))) = (eigen__0 = X1))))),introduced(assumption,[])).
% 0.18/0.35 thf(h4,assumption,(~(((![X1:a>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))) = sP3))),introduced(assumption,[])).
% 0.18/0.35 thf(h5,assumption,(![X1:a>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))),introduced(assumption,[])).
% 0.18/0.35 thf(h6,assumption,sP3,introduced(assumption,[])).
% 0.18/0.35 thf(h7,assumption,(~((![X1:a>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))))),introduced(assumption,[])).
% 0.18/0.35 thf(h8,assumption,(~(sP3)),introduced(assumption,[])).
% 0.18/0.35 2: Could not find hyp name
% 0.18/0.35 s = eq:a __0 __1
% 0.18/0.35 hyp:
% 0.18/0.35 h5: Pi:a>$o (\_:a>$o.imp (^0 __0) (^0 __1))
% 0.18/0.35 h6: imp (eq:a __0 __1) False
% 0.18/0.35 h4: imp (eq:$o (Pi:a>$o (\_:a>$o.imp (^0 __0) (^0 __1))) (eq:a __0 __1)) False
% 0.18/0.35 h3: imp (Pi:a (\_:a.eq:$o (Pi:a>$o (\_:a>$o.imp (^0 __0) (^0 ^1))) (eq:a __0 ^0))) False
% 0.18/0.35 h2: imp (eq:a>$o (\_:a.Pi:a>$o (\_:a>$o.imp (^0 __0) (^0 ^1))) (eq:a __0)) False
% 0.18/0.35 h1: imp (Pi:a (\_:a.eq:a>$o (\_:a.Pi:a>$o (\_:a>$o.imp (^0 ^2) (^0 ^1))) (eq:a ^0))) False
% 0.18/0.35 h0: imp (eq:a>a>$o (\_:a.\_:a.Pi:a>$o (\_:a>$o.imp (^0 ^2) (^0 ^1))) eq:a) False
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 % Mode: mode506
% 0.18/0.42 % Inferences: 23530
% 0.18/0.42 % SZS output start Proof
% 0.18/0.42 thf(ty_a, type, a : $tType).
% 0.18/0.42 thf(ty_eigen__2, type, eigen__2 : (a>$o)).
% 0.18/0.42 thf(ty_eigen__1, type, eigen__1 : a).
% 0.18/0.42 thf(ty_eigen__0, type, eigen__0 : a).
% 0.18/0.42 thf(h0, assumption, (![X1:a>$o]:(![X2:a]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
% 0.18/0.42 thf(eigendef_eigen__1, definition, eigen__1 = (eps__0 @ (^[X1:a]:(~(((![X2:a>$o]:((X2 @ eigen__0) => (X2 @ X1))) = (eigen__0 = X1)))))), introduced(definition,[new_symbols(definition,[eigen__1])])).
% 0.18/0.42 thf(eigendef_eigen__0, definition, eigen__0 = (eps__0 @ (^[X1:a]:(~(((^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))) = ((=) @ X1)))))), introduced(definition,[new_symbols(definition,[eigen__0])])).
% 0.18/0.42 thf(h1, assumption, (![X1:(a>$o)>$o]:(![X2:a>$o]:((X1 @ X2) => (X1 @ (eps__1 @ X1))))),introduced(assumption,[])).
% 0.18/0.42 thf(eigendef_eigen__2, definition, eigen__2 = (eps__1 @ (^[X1:a>$o]:(~(((X1 @ eigen__0) => (X1 @ eigen__1)))))), introduced(definition,[new_symbols(definition,[eigen__2])])).
% 0.18/0.42 thf(sP1,plain,sP1 <=> (eigen__0 = eigen__0),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.18/0.42 thf(sP2,plain,sP2 <=> (sP1 => (eigen__0 = eigen__1)),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.18/0.42 thf(sP3,plain,sP3 <=> (eigen__2 @ eigen__0),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.18/0.42 thf(sP4,plain,sP4 <=> (eigen__2 @ eigen__1),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.18/0.42 thf(sP5,plain,sP5 <=> ((![X1:a>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))) = (eigen__0 = eigen__1)),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.18/0.42 thf(sP6,plain,sP6 <=> ((^[X1:a]:(![X2:a>$o]:((X2 @ eigen__0) => (X2 @ X1)))) = ((=) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.18/0.42 thf(sP7,plain,sP7 <=> (sP3 => sP4),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.18/0.42 thf(sP8,plain,sP8 <=> (![X1:a]:((![X2:a>$o]:((X2 @ eigen__0) => (X2 @ X1))) = (eigen__0 = X1))),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.18/0.42 thf(sP9,plain,sP9 <=> (![X1:a>$o]:((X1 @ eigen__0) => (X1 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.18/0.42 thf(sP10,plain,sP10 <=> ((^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2))))) = (=)),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.18/0.42 thf(sP11,plain,sP11 <=> (![X1:a]:((^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))) = ((=) @ X1))),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.18/0.42 thf(sP12,plain,sP12 <=> (eigen__0 = eigen__1),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.18/0.42 thf(cE1_eq__pme,conjecture,sP10).
% 0.18/0.42 thf(h2,negated_conjecture,(~(sP10)),inference(assume_negation,[status(cth)],[cE1_eq__pme])).
% 0.18/0.42 thf(1,plain,sP1,inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(2,plain,((~(sP3) | sP4) | ~(sP12)),inference(mating_rule,[status(thm)],[])).
% 0.18/0.42 thf(3,plain,((~(sP2) | ~(sP1)) | sP12),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(4,plain,(~(sP9) | sP2),inference(all_rule,[status(thm)],[])).
% 0.18/0.42 thf(5,plain,(sP7 | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(6,plain,(sP7 | sP3),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(7,plain,(sP9 | ~(sP7)),inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__2])).
% 0.18/0.42 thf(8,plain,((sP5 | ~(sP9)) | ~(sP12)),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(9,plain,((sP5 | sP9) | sP12),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(10,plain,(sP8 | ~(sP5)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1])).
% 0.18/0.42 thf(11,plain,(sP6 | ~(sP8)),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(12,plain,(sP11 | ~(sP6)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__0])).
% 0.18/0.42 thf(13,plain,(sP10 | ~(sP11)),inference(prop_rule,[status(thm)],[])).
% 0.18/0.42 thf(14,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,h2])).
% 0.18/0.42 thf(15,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h2,h0]),eigenvar_choice(discharge,[h1])],[14,h1])).
% 0.18/0.42 thf(16,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h2]),eigenvar_choice(discharge,[h0])],[15,h0])).
% 0.18/0.42 thf(0,theorem,sP10,inference(contra,[status(thm),contra(discharge,[h2])],[14,h2])).
% 0.18/0.42 % SZS output end Proof
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