%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN035-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 08:58:32 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   22 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   24 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,axiom,
    p(A,B) ).

cnf(clause2,axiom,
    ( ~ p(f(A,B),f(A,B))
    | ~ p(B,f(A,B))
    | q(A,B) ) ).

cnf(theorem,negated_conjecture,
    ( ~ q(f(A,B),f(A,B))
    | ~ q(A,f(A,B))
    | ~ p(f(A,B),f(A,B))
    | ~ p(B,f(A,B)) ) ).

cnf(refute_0_0,plain,
    p(B,f(A,B)),
    inference(subst,[],[clause1:[bind(A,$fot(B)),bind(B,$fot(f(A,B)))]]) ).

cnf(refute_0_1,plain,
    ( ~ p(f(A,B),f(A,B))
    | ~ q(A,f(A,B))
    | ~ q(f(A,B),f(A,B)) ),
    inference(resolve,[$cnf( p(B,f(A,B)) )],[refute_0_0,theorem]) ).

cnf(refute_0_2,plain,
    p(f(A,B),f(A,B)),
    inference(subst,[],[clause1:[bind(A,$fot(f(A,B))),bind(B,$fot(f(A,B)))]]) ).

cnf(refute_0_3,plain,
    ( ~ q(A,f(A,B))
    | ~ q(f(A,B),f(A,B)) ),
    inference(resolve,[$cnf( p(f(A,B),f(A,B)) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    ( ~ p(f(A,B),f(A,B))
    | q(A,B) ),
    inference(resolve,[$cnf( p(B,f(A,B)) )],[refute_0_0,clause2]) ).

cnf(refute_0_5,plain,
    q(A,B),
    inference(resolve,[$cnf( p(f(A,B),f(A,B)) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    q(A,f(A,B)),
    inference(subst,[],[refute_0_5:[bind(B,$fot(f(A,B)))]]) ).

cnf(refute_0_7,plain,
    ~ q(f(A,B),f(A,B)),
    inference(resolve,[$cnf( q(A,f(A,B)) )],[refute_0_6,refute_0_3]) ).

cnf(refute_0_8,plain,
    q(f(A,B),f(A,B)),
    inference(subst,[],[refute_0_5:[bind(A,$fot(f(A,B))),bind(B,$fot(f(A,B)))]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( q(f(A,B),f(A,B)) )],[refute_0_8,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n003.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 : Mon Jul 11 21:32:30 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------