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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP078-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 10:16:36 AM UTC 2026

% Result   : Unsatisfiable 1.02s 0.59s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   94 (  71 unt;   3 def)
%            Number of atoms       :  122 (  87 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  27   ~;  25   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  134 (   0 sgn 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

fof(f5,negated_conjecture,
    ( multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

fof(f6,plain,
    ( identity != multiply(inverse(a1),a1)
    | a2 != multiply(identity,a2)
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f8,plain,
    ( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
    | a2 != double_divide(double_divide(a2,identity),identity)
    | double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
    inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).

fof(f10,definition,
    ( spl0_1
  <=> double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f12,plain,
    ( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f14,definition,
    ( spl0_2
  <=> a2 = double_divide(double_divide(a2,identity),identity) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f16,plain,
    ( a2 != double_divide(double_divide(a2,identity),identity)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f18,definition,
    ( spl0_3
  <=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f20,plain,
    ( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f21,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f8,f18,f14,f10]) ).

fof(f22,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f23,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,double_divide(X0,identity))))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f25,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),identity),identity))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] : double_divide(identity,X2) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X0,X3)))),identity),X0))),
    inference(superposition,[],[f1,f1]) ).

fof(f27,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f7]) ).

fof(f28,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(superposition,[],[f27,f7]) ).

fof(f31,plain,
    identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(forward_demodulation,[],[f28,f7]) ).

fof(f32,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
    inference(superposition,[],[f1,f31]) ).

fof(f36,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
    inference(forward_demodulation,[],[f32,f7]) ).

fof(f41,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),identity))) = X0,
    inference(superposition,[],[f22,f7]) ).

fof(f43,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),double_divide(double_divide(X0,identity),identity)))),
    inference(superposition,[],[f22,f27]) ).

fof(f45,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
    inference(superposition,[],[f22,f31]) ).

fof(f53,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
    inference(forward_demodulation,[],[f45,f7]) ).

fof(f54,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),identity),identity),double_divide(double_divide(X0,identity),identity)))),
    inference(forward_demodulation,[],[f43,f27]) ).

fof(f60,plain,
    identity = double_divide(double_divide(identity,identity),identity),
    inference(backward_demodulation,[],[f31,f53]) ).

fof(f61,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(X0,identity),
    inference(forward_demodulation,[],[f54,f22]) ).

fof(f62,plain,
    identity = double_divide(identity,identity),
    inference(backward_demodulation,[],[f53,f60]) ).

fof(f64,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,X0)))) = X1,
    inference(backward_demodulation,[],[f22,f62]) ).

fof(f65,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,identity))))) = X1,
    inference(backward_demodulation,[],[f23,f62]) ).

fof(f69,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity))) = X0,
    inference(backward_demodulation,[],[f41,f62]) ).

fof(f83,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)))) = X0,
    inference(forward_demodulation,[],[f69,f61]) ).

fof(f87,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,X0)))) = X1,
    inference(forward_demodulation,[],[f64,f61]) ).

fof(f92,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
    inference(forward_demodulation,[],[f83,f36]) ).

fof(f96,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(X0,double_divide(X1,identity)),identity)) = X1,
    inference(backward_demodulation,[],[f25,f92]) ).

fof(f97,plain,
    ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f36,f92]) ).

fof(f102,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
    inference(backward_demodulation,[],[f87,f97]) ).

fof(f106,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = X1,
    inference(backward_demodulation,[],[f65,f97]) ).

fof(f107,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = X1,
    inference(forward_demodulation,[],[f96,f61]) ).

fof(f112,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[],[f102,f97]) ).

fof(f126,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(superposition,[],[f112,f112]) ).

fof(f198,plain,
    ! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = double_divide(X0,double_divide(identity,X1)),
    inference(superposition,[],[f126,f1]) ).

fof(f199,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(X0,identity))) = double_divide(X0,double_divide(identity,X1)),
    inference(superposition,[],[f126,f107]) ).

fof(f200,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
    inference(superposition,[],[f126,f106]) ).

fof(f208,plain,
    ! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
    inference(superposition,[],[f107,f126]) ).

fof(f213,plain,
    ! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
    inference(superposition,[],[f106,f126]) ).

fof(f230,plain,
    ! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,X2))) = double_divide(X0,double_divide(identity,X1)),
    inference(forward_demodulation,[],[f198,f213]) ).

fof(f278,plain,
    ! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(double_divide(X0,double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(identity,X2)))),identity)),
    inference(superposition,[],[f26,f112]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X0,X2),identity),double_divide(X3,X2)))),identity),X3)) = double_divide(double_divide(identity,X0),double_divide(identity,X1)),
    inference(superposition,[],[f126,f26]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X4,double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X0,X2),identity),double_divide(X3,X2)))),identity),X3)))))) = X4,
    inference(superposition,[],[f1,f26]) ).

fof(f283,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X4,double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X0,X2),identity),double_divide(X3,X2)))),identity),X3)))))) = X4,
    inference(forward_demodulation,[],[f282,f213]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X0,X2),identity),double_divide(X3,X2))))),X3)),
    inference(forward_demodulation,[],[f279,f213]) ).

fof(f287,plain,
    ! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(identity,X2)))))),
    inference(forward_demodulation,[],[f278,f200]) ).

fof(f320,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X4,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(X0,X2),identity),double_divide(X3,X2))))),X3)))))) = X4,
    inference(forward_demodulation,[],[f283,f213]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X2)),double_divide(X3,X2))))),X3)),
    inference(forward_demodulation,[],[f286,f213]) ).

fof(f324,plain,
    ! [X2,X1] : double_divide(identity,X1) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(identity,X2)))),
    inference(forward_demodulation,[],[f287,f208]) ).

fof(f357,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X4,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X2)),double_divide(X3,X2))))),X3)))))) = X4,
    inference(forward_demodulation,[],[f320,f213]) ).

fof(f360,plain,
    ! [X3,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X3,double_divide(identity,X0)))),X3)),
    inference(forward_demodulation,[],[f323,f230]) ).

fof(f361,plain,
    ! [X2,X1] : double_divide(identity,X1) = double_divide(double_divide(double_divide(X1,X2),identity),double_divide(identity,X2)),
    inference(forward_demodulation,[],[f324,f97]) ).

fof(f390,plain,
    ! [X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X4,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X3,double_divide(identity,X0)))),X3)))))) = X4,
    inference(forward_demodulation,[],[f357,f230]) ).

fof(f393,plain,
    ! [X2,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(identity,X2)),
    inference(forward_demodulation,[],[f361,f213]) ).

fof(f413,plain,
    ! [X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X4,double_divide(double_divide(identity,X0),double_divide(identity,X1)))))) = X4,
    inference(forward_demodulation,[],[f390,f360]) ).

fof(f427,plain,
    ! [X0,X1,X4] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(identity,double_divide(X0,double_divide(X4,double_divide(double_divide(identity,X0),double_divide(identity,X1)))))) = X4,
    inference(forward_demodulation,[],[f413,f97]) ).

fof(f432,plain,
    ! [X0,X1,X4] : double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X4,double_divide(double_divide(identity,X0),double_divide(identity,X1)))))) = X4,
    inference(forward_demodulation,[],[f427,f97]) ).

fof(f603,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
    inference(superposition,[],[f112,f393]) ).

fof(f613,plain,
    ! [X0,X1,X4] : double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X4,double_divide(identity,double_divide(X1,X0)))))) = X4,
    inference(backward_demodulation,[],[f432,f603]) ).

fof(f852,plain,
    ( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity)
    | spl0_1 ),
    inference(superposition,[],[f12,f213]) ).

fof(f905,plain,
    ( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f852,f61]) ).

fof(f923,plain,
    ( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f905,f61]) ).

fof(f929,plain,
    ( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
    | spl0_1 ),
    inference(forward_demodulation,[],[f923,f199]) ).

fof(f956,plain,
    ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X2)),X0) = double_divide(X1,double_divide(identity,double_divide(X2,X0))),
    inference(superposition,[],[f613,f126]) ).

fof(f1005,plain,
    ! [X2,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(X0,X2))))),
    inference(backward_demodulation,[],[f230,f956]) ).

fof(f1006,plain,
    ( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
    | spl0_1 ),
    inference(backward_demodulation,[],[f929,f956]) ).

fof(f1037,plain,
    ! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
    inference(forward_demodulation,[],[f1005,f112]) ).

fof(f1062,plain,
    ( double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
    | spl0_1 ),
    inference(backward_demodulation,[],[f1006,f1037]) ).

fof(f1063,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f1062]) ).

fof(f1064,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f1063]) ).

fof(f1083,plain,
    ( a2 != double_divide(identity,double_divide(a2,identity))
    | spl0_2 ),
    inference(forward_demodulation,[],[f16,f61]) ).

fof(f1085,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1083,f112]) ).

fof(f1086,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1091,plain,
    ( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
    | spl0_3 ),
    inference(forward_demodulation,[],[f20,f61]) ).

fof(f1092,plain,
    ( identity != double_divide(a1,double_divide(identity,a1))
    | spl0_3 ),
    inference(forward_demodulation,[],[f1091,f199]) ).

fof(f1093,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f1092,f112]) ).

fof(f1094,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f1093]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f21]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f1064]) ).

cnf(s4,plain,
    spl0_2,
    inference(sat_conversion,[],[f1086]) ).

cnf(s5,plain,
    spl0_3,
    inference(sat_conversion,[],[f1094]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s5,s4,s3]) ).

fof(f1095,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP078-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 09:16:10 UTC 2026
% 0.15/0.38  % CPUTime  : 
% 0.15/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/0.59  % (1147504)Will run a generic schedule for satisfiability detection.
% 1.02/0.59  % (1147512)dis+10_1_sil=32000:sp=arity:random_seed=4276085276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.02/0.59  % (1147510)% WARNING: option uhcvi not known.
% 1.02/0.59  % (1147511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2982947417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.02/0.59  % (1147509)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1873418418_2999 on theBenchmark for (2999ds/0Mi)
% 1.02/0.59  % (1147510)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2693734759:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.02/0.59  % (1147514)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4050923006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.02/0.59  % TRYING [1]
% 1.02/0.59  % TRYING [2]
% 1.02/0.59  % TRYING [3]
% 1.02/0.59  % (1147515)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3001640890:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.02/0.59  % (1147513)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=200964301:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.02/0.59  % TRYING [4]
% 1.02/0.59  % (1147512)Instruction limit reached! 
% 1.02/0.59  % (1147512)------------------------------
% 1.02/0.59  % (1147512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.59  % (1147512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.59  % (1147512)CaDiCaL version: 2.1.3
% 1.02/0.59  % (1147512)Termination reason: Instruction limit
% 1.02/0.59  % (1147512)Termination phase: Saturation
% 1.02/0.59  % (1147512)Time elapsed: 0.030 s
% 1.02/0.59  % (1147512)Peak memory usage: 12 MB
% 1.02/0.59  % (1147512)Instructions burned: 104 (million)
% 1.02/0.59  % TRYING [5]
% 1.02/0.59  % (1147523)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2411519041:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.02/0.59  % TRYING [1]
% 1.02/0.59  % TRYING [2]
% 1.02/0.59  % TRYING [3]
% 1.02/0.59  % TRYING [4]
% 1.02/0.59  % TRYING [5]
% 1.02/0.59  % (1147514)Instruction limit reached! 
% 1.02/0.59  % (1147514)------------------------------
% 1.02/0.59  % (1147514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.59  % (1147514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.59  % (1147514)CaDiCaL version: 2.1.3
% 1.02/0.59  % (1147514)Termination reason: Instruction limit
% 1.02/0.59  % (1147514)Termination phase: Saturation
% 1.02/0.59  % (1147514)Time elapsed: 0.075 s
% 1.02/0.59  % (1147514)Peak memory usage: 13 MB
% 1.02/0.59  % (1147514)Instructions burned: 132 (million)
% 1.02/0.59  % (1147513)Instruction limit reached! 
% 1.02/0.59  % (1147513)------------------------------
% 1.02/0.59  % (1147513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.59  % (1147525)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1322939377:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.02/0.59  % (1147513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.59  % (1147513)CaDiCaL version: 2.1.3
% 1.02/0.59  % (1147513)Termination reason: Instruction limit
% 1.02/0.59  % (1147513)Termination phase: Saturation
% 1.02/0.59  % (1147513)Time elapsed: 0.091 s
% 1.02/0.59  % (1147513)Peak memory usage: 12 MB
% 1.02/0.59  % (1147513)Instructions burned: 117 (million)
% 1.02/0.59  % (1147515)Instruction limit reached! 
% 1.02/0.59  % (1147515)------------------------------
% 1.02/0.59  % (1147515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.59  % (1147515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.59  % (1147515)CaDiCaL version: 2.1.3
% 1.02/0.59  % (1147515)Termination reason: Instruction limit
% 1.02/0.59  % (1147515)Termination phase: Saturation
% 1.02/0.59  % (1147515)Time elapsed: 0.093 s
% 1.02/0.59  % (1147515)Peak memory usage: 13 MB
% 1.02/0.59  % (1147515)Instructions burned: 159 (million)
% 1.02/0.59  % TRYING [6]
% 1.02/0.59  % (1147528)ott-21_1_sil=16000:fs=off:random_seed=3534902141:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.02/0.59  % (1147527)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2198346710:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.02/0.59  % (1147525) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1147504-1147525"...
% 1.02/0.59  % (1147525)...printing done.
% 1.02/0.59  % (1147525)Refutation found. Thanks to Tanya!
% 1.02/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.02/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.02/0.59  % (1147525)------------------------------
% 1.02/0.59  % (1147525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.59  % (1147525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.59  % (1147525)CaDiCaL version: 2.1.3
% 1.02/0.59  % (1147525)Termination reason: Refutation
% 1.02/0.59  % (1147525)Time elapsed: 0.035 s
% 1.02/0.59  % (1147525)Peak memory usage: 13 MB
% 1.02/0.59  % (1147525)Instructions burned: 56 (million)
% 1.02/0.59  % (1147504)Success in time 0.169 s
% 1.02/0.59  % Vampire exiting
%------------------------------------------------------------------------------