%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN170-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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  : 600s
% DateTime : Thu Jul 21 09:00:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   8 unt;   0 nHn;  16 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
    p0(c,b) ).

cnf(rule_095,axiom,
    ( q1(F,G,G)
    | ~ p0(G,F) ) ).

cnf(rule_129,axiom,
    ( k2(J,J)
    | ~ q1(A,J,J) ) ).

cnf(rule_194,axiom,
    ( k3(F,F,G)
    | ~ k2(G,F) ) ).

cnf(rule_287,axiom,
    ( p4(B,C,B)
    | ~ k3(B,B,C) ) ).

cnf(prove_this,negated_conjecture,
    ~ p4(X,c,Y) ).

cnf(refute_0_0,plain,
    ( ~ p0(c,b)
    | q1(b,c,c) ),
    inference(subst,[],[rule_095:[bind(F,$fot(b)),bind(G,$fot(c))]]) ).

cnf(refute_0_1,plain,
    q1(b,c,c),
    inference(resolve,[$cnf( p0(c,b) )],[axiom_18,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ q1(b,c,c)
    | k2(c,c) ),
    inference(subst,[],[rule_129:[bind(A,$fot(b)),bind(J,$fot(c))]]) ).

cnf(refute_0_3,plain,
    k2(c,c),
    inference(resolve,[$cnf( q1(b,c,c) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ k2(c,c)
    | k3(c,c,c) ),
    inference(subst,[],[rule_194:[bind(F,$fot(c)),bind(G,$fot(c))]]) ).

cnf(refute_0_5,plain,
    k3(c,c,c),
    inference(resolve,[$cnf( k2(c,c) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ k3(c,c,c)
    | p4(c,c,c) ),
    inference(subst,[],[rule_287:[bind(B,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_7,plain,
    p4(c,c,c),
    inference(resolve,[$cnf( k3(c,c,c) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ~ p4(c,c,c),
    inference(subst,[],[prove_this:[bind(X,$fot(c)),bind(Y,$fot(c))]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( p4(c,c,c) )],[refute_0_7,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN170-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 16:41:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  
% 0.20/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.47  
%------------------------------------------------------------------------------