TSTP Solution File: SEV229^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEV229^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n027.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 19:33:02 EDT 2023
% Result : Theorem 0.19s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV229^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.15/0.34 % Computer : n027.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 03:42:32 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % Mode: cade22grackle2xfee4
% 0.19/0.39 % Steps: 94
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 thf(ty_a, type, a : $tType).
% 0.19/0.39 thf(ty_cE, type, cE : (a>$o)).
% 0.19/0.39 thf(ty_cD, type, cD : (a>$o)).
% 0.19/0.39 thf(ty_eigen__4, type, eigen__4 : a).
% 0.19/0.39 thf(ty_eigen__0, type, eigen__0 : (a>$o)).
% 0.19/0.39 thf(sP1,plain,sP1 <=> (eigen__0 @ eigen__4),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.19/0.39 thf(sP2,plain,sP2 <=> (cE @ eigen__4),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.19/0.39 thf(sP3,plain,sP3 <=> (sP1 => (cD @ eigen__4)),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.19/0.39 thf(sP4,plain,sP4 <=> ((cD @ eigen__4) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.19/0.39 thf(sP5,plain,sP5 <=> (cD @ eigen__4),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.19/0.39 thf(sP6,plain,sP6 <=> (sP1 => sP2),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.19/0.39 thf(sP7,plain,sP7 <=> (![X1:a]:((eigen__0 @ X1) => (cD @ X1))),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.19/0.39 thf(sP8,plain,sP8 <=> (![X1:a]:((eigen__0 @ X1) => (cE @ X1))),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.19/0.39 thf(cX5209_pme,conjecture,((^[X1:a>$o]:(![X2:a]:((X1 @ X2) => (~(((cD @ X2) => (~((cE @ X2))))))))) = (^[X1:a>$o]:(~(((![X2:a]:((X1 @ X2) => (cD @ X2))) => (~((![X2:a]:((X1 @ X2) => (cE @ X2))))))))))).
% 0.19/0.39 thf(h0,negated_conjecture,(~(((^[X1:a>$o]:(![X2:a]:((X1 @ X2) => (~(((cD @ X2) => (~((cE @ X2))))))))) = (^[X1:a>$o]:(~(((![X2:a]:((X1 @ X2) => (cD @ X2))) => (~((![X2:a]:((X1 @ X2) => (cE @ X2)))))))))))),inference(assume_negation,[status(cth)],[cX5209_pme])).
% 0.19/0.39 thf(h1,assumption,(~((![X1:a>$o]:((![X2:a]:((X1 @ X2) => (~(((cD @ X2) => (~((cE @ X2)))))))) = (~(((![X2:a]:((X1 @ X2) => (cD @ X2))) => (~((![X2:a]:((X1 @ X2) => (cE @ X2)))))))))))),introduced(assumption,[])).
% 0.19/0.39 thf(h2,assumption,(~(((![X1:a]:((eigen__0 @ X1) => (~(((cD @ X1) => (~((cE @ X1)))))))) = (~((sP7 => (~(sP8)))))))),introduced(assumption,[])).
% 0.19/0.39 thf(h3,assumption,(~((sP1 => (~(sP4))))),introduced(assumption,[])).
% 0.19/0.39 thf(h4,assumption,sP1,introduced(assumption,[])).
% 0.19/0.39 thf(h5,assumption,sP4,introduced(assumption,[])).
% 0.19/0.39 thf(h6,assumption,sP7,introduced(assumption,[])).
% 0.19/0.39 thf(h7,assumption,sP8,introduced(assumption,[])).
% 0.19/0.39 thf(1,plain,((~(sP6) | ~(sP1)) | sP2),inference(prop_rule,[status(thm)],[])).
% 0.19/0.39 thf(2,plain,((~(sP3) | ~(sP1)) | sP5),inference(prop_rule,[status(thm)],[])).
% 0.19/0.39 thf(3,plain,(~(sP8) | sP6),inference(all_rule,[status(thm)],[])).
% 0.19/0.39 thf(4,plain,(~(sP7) | sP3),inference(all_rule,[status(thm)],[])).
% 0.19/0.39 thf(5,plain,((~(sP4) | ~(sP5)) | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 0.19/0.39 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h6,h7,h4,h5,h3,h2,h1,h0])],[1,2,3,4,5,h4,h5,h6,h7])).
% 0.19/0.39 7:300: Could not find hyp name
% 0.19/0.39 s = imp (imp (Pi:a (\_:a.imp (__0 ^0) (cD ^0))) (imp (Pi:a (\_:a.imp (__0 ^0) (cE ^0))) False)) False
% 0.19/0.39 hyp:
% 0.19/0.39 [353] h4: __0 __4
% 0.19/0.39 [357] h5: imp (cD __4) (imp (cE __4) False)
% 0.19/0.39 [360] h3: imp (imp (__0 __4) (imp (imp (cD __4) (imp (cE __4) False)) False)) False
% 0.19/0.39 [302] h2: imp (eq:$o (Pi:a (\_:a.imp (__0 ^0) (imp (imp (cD ^0) (imp (cE ^0) False)) False))) (imp (imp (Pi:a (\_:a.imp (__0 ^0) (cD ^0))) (imp (Pi:a (\_:a.imp (__0 ^0) (cE ^0))) False)) False)) False
% 0.19/0.39 [289] h1: imp (Pi:a>$o (\_:a>$o.eq:$o (Pi:a (\_:a.imp (^1 ^0) (imp (imp (cD ^0) (imp (cE ^0) False)) False))) (imp (imp (Pi:a (\_:a.imp (^1 ^0) (cD ^0))) (imp (Pi:a (\_:a.imp (^1 ^0) (cE ^0))) False)) False))) False
% 0.19/0.39 [286] h0: imp (eq:(a>$o)>$o (\_:a>$o.Pi:a (\_:a.imp (^1 ^0) (imp (imp (cD ^0) (imp (cE ^0) False)) False))) (\_:a>$o.imp (imp (Pi:a (\_:a.imp (^1 ^0) (cD ^0))) (imp (Pi:a (\_:a.imp (^1 ^0) (cE ^0))) False)) False)) False
% 0.19/0.39 % SZS status Error
% 0.19/0.39 Exception: Failure("Could not find hyp name")
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % Mode: cade22grackle2x798d
% 0.19/0.43 % Steps: 141
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