%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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 09:00:49 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   28 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (  11 sgn)

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

cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(rule_069,axiom,
    ( p1(B,B,C)
    | ~ p0(C,B) ) ).

cnf(rule_071,axiom,
    ( p1(H,I,H)
    | ~ l0(J)
    | ~ p1(I,A,H)
    | ~ s0(b) ) ).

cnf(prove_this,negated_conjecture,
    ~ p1(b,c,b) ).

cnf(refute_0_0,plain,
    p0(b,X_64),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_64))]]) ).

cnf(refute_0_1,plain,
    ( ~ p0(b,X_64)
    | p1(X_64,X_64,b) ),
    inference(subst,[],[rule_069:[bind(B,$fot(X_64)),bind(C,$fot(b))]]) ).

cnf(refute_0_2,plain,
    p1(X_64,X_64,b),
    inference(resolve,[$cnf( p0(b,X_64) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    p1(X_376,X_376,b),
    inference(subst,[],[refute_0_2:[bind(X_64,$fot(X_376))]]) ).

cnf(refute_0_4,plain,
    ( ~ l0(J)
    | ~ p1(I,A,H)
    | p1(H,I,H) ),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,rule_071]) ).

cnf(refute_0_5,plain,
    ( ~ l0(X_379)
    | ~ p1(X_376,X_376,b)
    | p1(b,X_376,b) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_376)),bind(H,$fot(b)),bind(I,$fot(X_376)),bind(J,$fot(X_379))]]) ).

cnf(refute_0_6,plain,
    ( ~ l0(X_379)
    | p1(b,X_376,b) ),
    inference(resolve,[$cnf( p1(X_376,X_376,b) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ l0(a)
    | p1(b,X_385,b) ),
    inference(subst,[],[refute_0_6:[bind(X_376,$fot(X_385)),bind(X_379,$fot(a))]]) ).

cnf(refute_0_8,plain,
    p1(b,X_385,b),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_7]) ).

cnf(refute_0_9,plain,
    p1(b,c,b),
    inference(subst,[],[refute_0_8:[bind(X_385,$fot(c))]]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p1(b,c,b) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:50:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------