TSTP Solution File: SEV397^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEV397^5 : 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 : n012.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 19:34:27 EDT 2023
% Result : Theorem 0.20s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:25:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % Mode: cade22grackle2xfee4
% 0.20/0.40 % Steps: 28
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 thf(ty_a, type, a : $tType).
% 0.20/0.40 thf(ty_cZ, type, cZ : (a>$o)).
% 0.20/0.40 thf(ty_eigen__0, type, eigen__0 : a).
% 0.20/0.40 thf(ty_cY, type, cY : (a>$o)).
% 0.20/0.40 thf(ty_cX, type, cX : (a>$o)).
% 0.20/0.40 thf(sP1,plain,sP1 <=> ((~((cX @ eigen__0))) => (cZ @ eigen__0)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.20/0.40 thf(sP2,plain,sP2 <=> (cX @ eigen__0),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.20/0.40 thf(sP3,plain,sP3 <=> (cY @ eigen__0),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.20/0.40 thf(sP4,plain,sP4 <=> (sP2 => (~(sP3))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.20/0.40 thf(sP5,plain,sP5 <=> ((~(sP3)) => (cZ @ eigen__0)),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.20/0.40 thf(sP6,plain,sP6 <=> (cZ @ eigen__0),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.20/0.40 thf(cTHM59_pme,conjecture,(![X1:a]:((((cX @ X1) => (~((cY @ X1)))) => (cZ @ X1)) = (~((((~((cX @ X1))) => (cZ @ X1)) => (~(((~((cY @ X1))) => (cZ @ X1)))))))))).
% 0.20/0.40 thf(h0,negated_conjecture,(~((![X1:a]:((((cX @ X1) => (~((cY @ X1)))) => (cZ @ X1)) = (~((((~((cX @ X1))) => (cZ @ X1)) => (~(((~((cY @ X1))) => (cZ @ X1))))))))))),inference(assume_negation,[status(cth)],[cTHM59_pme])).
% 0.20/0.40 thf(h1,assumption,(~(((sP4 => sP6) = (~((sP1 => (~(sP5)))))))),introduced(assumption,[])).
% 0.20/0.40 thf(h2,assumption,sP4,introduced(assumption,[])).
% 0.20/0.40 thf(h3,assumption,(~(sP6)),introduced(assumption,[])).
% 0.20/0.40 thf(h4,assumption,sP1,introduced(assumption,[])).
% 0.20/0.40 thf(h5,assumption,sP5,introduced(assumption,[])).
% 0.20/0.40 thf(1,plain,((~(sP4) | ~(sP2)) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
% 0.20/0.40 thf(2,plain,((~(sP1) | sP2) | sP6),inference(prop_rule,[status(thm)],[])).
% 0.20/0.40 thf(3,plain,((~(sP5) | sP3) | sP6),inference(prop_rule,[status(thm)],[])).
% 0.20/0.40 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h2,h3,h1,h0])],[1,2,3,h2,h3,h4,h5])).
% 0.20/0.40 7:294: Could not find hyp name
% 0.20/0.40 s = imp (imp (imp (imp (cX __0) False) (cZ __0)) (imp (imp (imp (cY __0) False) (cZ __0)) False)) False
% 0.20/0.40 hyp:
% 0.20/0.40 [286] h2: imp (cX __0) (imp (cY __0) False)
% 0.20/0.40 [299] h3: imp (cZ __0) False
% 0.20/0.40 [296] h1: imp (eq:$o (imp (imp (cX __0) (imp (cY __0) False)) (cZ __0)) (imp (imp (imp (imp (cX __0) False) (cZ __0)) (imp (imp (imp (cY __0) False) (cZ __0)) False)) False)) False
% 0.20/0.40 [281] h0: imp (Pi:a (\_:a.eq:$o (imp (imp (cX ^0) (imp (cY ^0) False)) (cZ ^0)) (imp (imp (imp (imp (cX ^0) False) (cZ ^0)) (imp (imp (imp (cY ^0) False) (cZ ^0)) False)) False))) False
% 0.20/0.40 % SZS status Error
% 0.20/0.40 Exception: Failure("Could not find hyp name")
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 % Mode: cade22grackle2x798d
% 0.20/0.42 % Steps: 51
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