%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% 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 09:03:59 EDT 2022

% Result   : Unsatisfiable 1.11s 1.28s
% Output   : CNFRefutation 1.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_2,negated_conjecture,
    p4(X12,X12) ).

cnf(p4_4,negated_conjecture,
    p4(f5(c7,c10,c9),c9) ).

cnf(not_p4_5,negated_conjecture,
    ~ p4(f5(c7,c10,c8),c8) ).

cnf(p4_6,negated_conjecture,
    p4(f5(c7,X24,c8),f5(c7,X24,c9)) ).

cnf(p4_8,negated_conjecture,
    ( p4(X13,X14)
    | ~ p4(X12,X13)
    | ~ p4(X12,X14) ) ).

cnf(p4_12,negated_conjecture,
    ( p4(f5(c7,X21,X22),X22)
    | ~ p4(f5(c7,X21,X23),X23)
    | ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22)) ) ).

cnf(refute_0_0,plain,
    p4(X_16,X_16),
    inference(subst,[],[p4_2:[bind(X12,$fot(X_16))]]) ).

cnf(refute_0_1,plain,
    ( ~ p4(X_16,X_15)
    | ~ p4(X_16,X_16)
    | p4(X_15,X_16) ),
    inference(subst,[],[p4_8:[bind(X12,$fot(X_16)),bind(X13,$fot(X_15)),bind(X14,$fot(X_16))]]) ).

cnf(refute_0_2,plain,
    ( ~ p4(X_16,X_15)
    | p4(X_15,X_16) ),
    inference(resolve,[$cnf( p4(X_16,X_16) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p4(f5(c7,X24,c8),f5(c7,X24,c9))
    | p4(f5(c7,X24,c9),f5(c7,X24,c8)) ),
    inference(subst,[],[refute_0_2:[bind(X_15,$fot(f5(c7,X24,c9))),bind(X_16,$fot(f5(c7,X24,c8)))]]) ).

cnf(refute_0_4,plain,
    p4(f5(c7,X24,c9),f5(c7,X24,c8)),
    inference(resolve,[$cnf( p4(f5(c7,X24,c8),f5(c7,X24,c9)) )],[p4_6,refute_0_3]) ).

cnf(refute_0_5,plain,
    p4(f5(c7,f6(X_605,c9,c8),c9),f5(c7,f6(X_605,c9,c8),c8)),
    inference(subst,[],[refute_0_4:[bind(X24,$fot(f6(X_605,c9,c8)))]]) ).

cnf(refute_0_6,plain,
    ( ~ p4(f5(c7,X_605,c9),c9)
    | ~ p4(f5(c7,f6(X_605,c9,c8),c9),f5(c7,f6(X_605,c9,c8),c8))
    | p4(f5(c7,X_605,c8),c8) ),
    inference(subst,[],[p4_12:[bind(X21,$fot(X_605)),bind(X22,$fot(c8)),bind(X23,$fot(c9))]]) ).

cnf(refute_0_7,plain,
    ( ~ p4(f5(c7,X_605,c9),c9)
    | p4(f5(c7,X_605,c8),c8) ),
    inference(resolve,[$cnf( p4(f5(c7,f6(X_605,c9,c8),c9),f5(c7,f6(X_605,c9,c8),c8)) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p4(f5(c7,c10,c9),c9)
    | p4(f5(c7,c10,c8),c8) ),
    inference(subst,[],[refute_0_7:[bind(X_605,$fot(c10))]]) ).

cnf(refute_0_9,plain,
    p4(f5(c7,c10,c8),c8),
    inference(resolve,[$cnf( p4(f5(c7,c10,c9),c9) )],[p4_4,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( p4(f5(c7,c10,c8),c8) )],[refute_0_9,not_p4_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n028.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 08:57:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.11/1.28  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.28  
% 1.11/1.28  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.11/1.28  
%------------------------------------------------------------------------------