%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN265-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:00:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(rule_075,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ) ).

cnf(rule_137,axiom,
    ( n2(A)
    | ~ p1(B,C,A) ) ).

cnf(rule_244,axiom,
    ( p3(H,H,H)
    | ~ n2(H) ) ).

cnf(prove_this,negated_conjecture,
    ~ p3(X,X,a) ).

cnf(refute_0_0,plain,
    ( ~ n2(a)
    | p3(a,a,a) ),
    inference(subst,[],[rule_244:[bind(H,$fot(a))]]) ).

cnf(refute_0_1,plain,
    p0(b,a),
    inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).

cnf(refute_0_2,plain,
    p1(a,a,a),
    inference(resolve,[$cnf( p0(b,a) )],[refute_0_1,rule_075]) ).

cnf(refute_0_3,plain,
    ( ~ p1(a,a,a)
    | n2(a) ),
    inference(subst,[],[rule_137:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_4,plain,
    n2(a),
    inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    p3(a,a,a),
    inference(resolve,[$cnf( n2(a) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    ~ p3(a,a,a),
    inference(subst,[],[prove_this:[bind(X,$fot(a))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( p3(a,a,a) )],[refute_0_5,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN265-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n025.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  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 02:24:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  
% 0.19/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.48  
%------------------------------------------------------------------------------