%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN168-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 09:00:09 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   8 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    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_32,axiom,
    k0(b) ).

cnf(rule_068,axiom,
    ( p1(D,D,D)
    | ~ k0(D) ) ).

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,Y,b) ).

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

cnf(refute_0_1,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(subst,[],[rule_068:[bind(D,$fot(b))]]) ).

cnf(refute_0_2,plain,
    p1(b,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_1]) ).

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN168-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n012.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 21:52:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  
% 0.20/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49  
%------------------------------------------------------------------------------