%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.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 : Wed Aug 31 16:12:58 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   34 (  33 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   31 (  14   ~;   6   |;  10   &)
%                                         (   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   :   30 (  18   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f503,plain,
    $false,
    inference(subsumption_resolution,[],[f502,f405]) ).

fof(f405,plain,
    sK0 != sK3,
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ( sK0 != sK3
    & sK1 = s(sK2,sK3)
    & s(sK2,sK0) = sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f266,f267]) ).

fof(f267,plain,
    ( ? [X0,X1,X2,X3] :
        ( X0 != X3
        & s(X2,X3) = X1
        & s(X2,X0) = X1 )
   => ( sK0 != sK3
      & sK1 = s(sK2,sK3)
      & s(sK2,sK0) = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f266,plain,
    ? [X0,X1,X2,X3] :
      ( X0 != X3
      & s(X2,X3) = X1
      & s(X2,X0) = X1 ),
    inference(rectify,[],[f216]) ).

fof(f216,plain,
    ? [X2,X1,X3,X0] :
      ( X0 != X2
      & s(X3,X0) = X1
      & s(X3,X2) = X1 ),
    inference(ennf_transformation,[],[f170]) ).

fof(f170,plain,
    ~ ! [X1,X0,X3,X2] :
        ( s(X3,X0) != X1
        | s(X3,X2) != X1
        | X0 = X2 ),
    inference(rectify,[],[f101]) ).

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

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

fof(f502,plain,
    sK0 = sK3,
    inference(backward_demodulation,[],[f500,f499]) ).

fof(f499,plain,
    sK0 = s(sK2,sK1),
    inference(superposition,[],[f352,f403]) ).

fof(f403,plain,
    s(sK2,sK0) = sK1,
    inference(cnf_transformation,[],[f268]) ).

fof(f352,plain,
    ! [X0,X1] : s(X1,s(X1,X0)) = X0,
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0,X1] : s(X1,s(X1,X0)) = X0,
    inference(rectify,[],[f99]) ).

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

fof(f500,plain,
    sK3 = s(sK2,sK1),
    inference(superposition,[],[f352,f404]) ).

fof(f404,plain,
    sK1 = s(sK2,sK3),
    inference(cnf_transformation,[],[f268]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.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   : Mon Aug 29 21:52:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (9186)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.48  % (9177)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (9186)First to succeed.
% 0.20/0.51  % (9186)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (9186)------------------------------
% 0.20/0.51  % (9186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9186)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (9186)Memory used [KB]: 5884
% 0.20/0.51  % (9186)Time elapsed: 0.074 s
% 0.20/0.51  % (9186)Instructions burned: 20 (million)
% 0.20/0.51  % (9186)------------------------------
% 0.20/0.51  % (9186)------------------------------
% 0.20/0.51  % (9164)Success in time 0.154 s
%------------------------------------------------------------------------------