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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:40:24 AM UTC 2026

% Result   : Theorem 0.08s 0.24s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   24 (   8 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   25 (  12   ~;   2   |;   8   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   32 (  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( X3 = vabs(X0,X1,X2)
     => visValue(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).

fof(f58,conjecture,
    ! [X0,X1,X2] :
      ( ( vtcheck(vempty,vabs(X1,X2,ve1),X0)
        & ~ visValue(vabs(X1,X2,ve1)) )
     => ? [X3] : vreduce(vabs(X1,X2,ve1)) = vsomeExp(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-abs') ).

fof(f59,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( vtcheck(vempty,vabs(X1,X2,ve1),X0)
          & ~ visValue(vabs(X1,X2,ve1)) )
       => ? [X3] : vreduce(vabs(X1,X2,ve1)) = vsomeExp(X3) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( visValue(X3)
      | vabs(X0,X1,X2) != X3 ),
    inference(ennf_transformation,[],[f7]) ).

fof(f150,plain,
    ? [X0,X1,X2] :
      ( ! [X3] : vreduce(vabs(X1,X2,ve1)) != vsomeExp(X3)
      & vtcheck(vempty,vabs(X1,X2,ve1),X0)
      & ~ visValue(vabs(X1,X2,ve1)) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f151,plain,
    ? [X0,X1,X2] :
      ( ! [X3] : vreduce(vabs(X1,X2,ve1)) != vsomeExp(X3)
      & vtcheck(vempty,vabs(X1,X2,ve1),X0)
      & ~ visValue(vabs(X1,X2,ve1)) ),
    inference(flattening,[],[f150]) ).

fof(f215,plain,
    ( ! [X3] : vsomeExp(X3) != vreduce(vabs(sK89,sK90,ve1))
    & vtcheck(vempty,vabs(sK89,sK90,ve1),sK88)
    & ~ visValue(vabs(sK89,sK90,ve1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK88,sK89,sK90]),skolemize(X0,sK88),skolemize(X1,sK89),skolemize(X2,sK90)],[f151]) ).

fof(f228,plain,
    ! [X2,X3,X0,X1] :
      ( vabs(X0,X1,X2) != X3
      | visValue(X3) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f367,plain,
    ~ visValue(vabs(sK89,sK90,ve1)),
    inference(cnf_transformation,[],[f215]) ).

fof(f389,plain,
    ! [X2,X0,X1] : visValue(vabs(X0,X1,X2)),
    inference(equality_resolution,[],[f228]) ).

fof(f391,plain,
    $false,
    inference(resolution,[],[f389,f367]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n010.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 21:56:18 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.24  % (2403635)Will run a generic schedule for satisfiability detection.
% 0.08/0.24  % (2403645)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3494027210:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24  % (2403645) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2403635-2403645"...
% 0.08/0.24  % (2403645)...printing done.
% 0.08/0.24  % (2403645)Refutation found. Thanks to Tanya!
% 0.08/0.24  % SZS status Theorem for theBenchmark
% 0.08/0.24  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24  % (2403645)------------------------------
% 0.08/0.24  % (2403645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24  % (2403645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24  % (2403645)CaDiCaL version: 2.1.3
% 0.08/0.24  % (2403645)Termination reason: Refutation
% 0.08/0.24  % (2403645)Time elapsed: 0.004 s
% 0.08/0.24  % (2403645)Peak memory usage: 12 MB
% 0.08/0.24  % (2403645)Instructions burned: 12 (million)
% 0.08/0.24  % (2403635)Success in time 0.022 s
% 0.08/0.24  % Vampire exiting
%------------------------------------------------------------------------------