%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 09:00:51 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  21 RR)
%            Number of literals    :   33 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b) ).

cnf(axiom_37,axiom,
    n0(b,a) ).

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

cnf(rule_112,axiom,
    ( q1(A,A,A)
    | ~ k1(A)
    | ~ s0(b) ) ).

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(a,X,Y) ).

cnf(refute_0_0,plain,
    ( ~ k1(A)
    | q1(A,A,A) ),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,rule_112]) ).

cnf(refute_0_1,plain,
    ( ~ k1(a)
    | q1(a,a,a) ),
    inference(subst,[],[refute_0_0:[bind(A,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).

cnf(refute_0_3,plain,
    k1(a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_2]) ).

cnf(refute_0_4,plain,
    q1(a,a,a),
    inference(resolve,[$cnf( k1(a) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(subst,[],[rule_129:[bind(A,$fot(a)),bind(J,$fot(a))]]) ).

cnf(refute_0_6,plain,
    k2(a,a),
    inference(resolve,[$cnf( q1(a,a,a) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ k2(a,a)
    | k3(a,a,a) ),
    inference(subst,[],[rule_194:[bind(F,$fot(a)),bind(G,$fot(a))]]) ).

cnf(refute_0_8,plain,
    k3(a,a,a),
    inference(resolve,[$cnf( k2(a,a) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ k3(a,a,a)
    | p4(a,a,a) ),
    inference(subst,[],[rule_287:[bind(B,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_10,plain,
    p4(a,a,a),
    inference(resolve,[$cnf( k3(a,a,a) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ~ p4(a,a,a),
    inference(subst,[],[prove_this:[bind(X,$fot(a)),bind(Y,$fot(a))]]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( p4(a,a,a) )],[refute_0_10,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 12:37:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.48  
%------------------------------------------------------------------------------