TSTP Solution File: GEO498+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Tue Apr 30 11:16:37 EDT 2024

% Result   : Theorem 0.19s 0.38s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   29 (  14   ~;   6   |;   8   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (  18   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f394,plain,
    $false,
    inference(trivial_inequality_removal,[],[f393]) ).

fof(f393,plain,
    sK1 != sK1,
    inference(superposition,[],[f219,f390]) ).

fof(f390,plain,
    sK1 = sK3,
    inference(forward_demodulation,[],[f388,f387]) ).

fof(f387,plain,
    sK1 = s(sK0,sK2),
    inference(superposition,[],[f236,f217]) ).

fof(f217,plain,
    sK2 = s(sK0,sK1),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ( sK1 != sK3
    & sK2 = s(sK0,sK3)
    & sK2 = s(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f214,f215]) ).

fof(f215,plain,
    ( ? [X0,X1,X2,X3] :
        ( X1 != X3
        & s(X0,X3) = X2
        & s(X0,X1) = X2 )
   => ( sK1 != sK3
      & sK2 = s(sK0,sK3)
      & sK2 = s(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f214,plain,
    ? [X0,X1,X2,X3] :
      ( X1 != X3
      & s(X0,X3) = X2
      & s(X0,X1) = X2 ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ~ ! [X0,X1,X2,X3] :
        ( X1 = X3
        | s(X0,X3) != X2
        | s(X0,X1) != X2 ),
    inference(rectify,[],[f101]) ).

fof(f101,negated_conjecture,
    ~ ! [X11,X12,X26,X15] :
        ( X12 = X15
        | s(X11,X15) != X26
        | s(X11,X12) != X26 ),
    inference(negated_conjecture,[],[f100]) ).

fof(f100,conjecture,
    ! [X11,X12,X26,X15] :
      ( X12 = X15
      | s(X11,X15) != X26
      | s(X11,X12) != X26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).

fof(f236,plain,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    inference(rectify,[],[f99]) ).

fof(f99,axiom,
    ! [X11,X12] : s(X11,s(X11,X12)) = X12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).

fof(f388,plain,
    sK3 = s(sK0,sK2),
    inference(superposition,[],[f236,f218]) ).

fof(f218,plain,
    sK2 = s(sK0,sK3),
    inference(cnf_transformation,[],[f216]) ).

fof(f219,plain,
    sK1 != sK3,
    inference(cnf_transformation,[],[f216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 06:10:18 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24358)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37  % (24361)WARNING: value z3 for option sas not known
% 0.19/0.37  % (24361)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37  % (24364)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.37  % (24360)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37  % (24362)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37  % (24365)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.37  % (24363)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.38  % (24359)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.38  % (24364)First to succeed.
% 0.19/0.38  % (24361)Also succeeded, but the first one will report.
% 0.19/0.38  Detected minimum model sizes of [3]
% 0.19/0.38  Detected maximum model sizes of [max]
% 0.19/0.38  % (24363)Also succeeded, but the first one will report.
% 0.19/0.38  % (24364)Refutation found. Thanks to Tanya!
% 0.19/0.38  % SZS status Theorem for theBenchmark
% 0.19/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38  % (24364)------------------------------
% 0.19/0.38  % (24364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.38  % (24364)Termination reason: Refutation
% 0.19/0.38  
% 0.19/0.38  % (24364)Memory used [KB]: 1086
% 0.19/0.38  % (24364)Time elapsed: 0.009 s
% 0.19/0.38  % (24364)Instructions burned: 16 (million)
% 0.19/0.38  % (24364)------------------------------
% 0.19/0.38  % (24364)------------------------------
% 0.19/0.38  % (24358)Success in time 0.028 s
%------------------------------------------------------------------------------