%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN169-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 09:00:10 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% 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    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   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   :    8 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d) ).

cnf(rule_072,axiom,
    ( p1(F,F,F)
    | ~ s0(G)
    | ~ s0(F) ) ).

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,d,Y) ).

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

cnf(refute_0_1,plain,
    ( ~ s0(d)
    | p1(d,d,d) ),
    inference(subst,[],[rule_072:[bind(F,$fot(d)),bind(G,$fot(d))]]) ).

cnf(refute_0_2,plain,
    p1(d,d,d),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_1]) ).

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN169-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n005.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 : Tue Jul 12 08:47:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  
% 0.18/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.47  
%------------------------------------------------------------------------------