%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 09:04:05 EDT 2022

% Result   : Unsatisfiable 16.53s 16.71s
% Output   : CNFRefutation 16.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (  14 unt;   0 nHn;  23 RR)
%            Number of literals    :   53 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
    p7(X21,X21) ).

cnf(p3_4,negated_conjecture,
    p3(X12,X12) ).

cnf(p9_7,negated_conjecture,
    p9(c15,f8(c13)) ).

cnf(p2_8,negated_conjecture,
    p2(c12,f5(c15)) ).

cnf(p3_9,negated_conjecture,
    p3(f4(f5(X17)),X17) ).

cnf(not_p9_10,negated_conjecture,
    ~ p9(f4(c12),f8(c13)) ).

cnf(p3_13,negated_conjecture,
    ( p3(f4(X15),f4(X16))
    | ~ p2(X15,X16) ) ).

cnf(p3_17,negated_conjecture,
    ( p3(X13,X14)
    | ~ p3(X12,X13)
    | ~ p3(X12,X14) ) ).

cnf(p9_19,negated_conjecture,
    ( p9(X26,X27)
    | ~ p7(X29,X27)
    | ~ p9(X28,X29)
    | ~ p3(X28,X26) ) ).

cnf(refute_0_0,plain,
    p7(X_387,X_387),
    inference(subst,[],[p7_2:[bind(X21,$fot(X_387))]]) ).

cnf(refute_0_1,plain,
    ( ~ p2(c12,f5(c15))
    | p3(f4(c12),f4(f5(c15))) ),
    inference(subst,[],[p3_13:[bind(X15,$fot(c12)),bind(X16,$fot(f5(c15)))]]) ).

cnf(refute_0_2,plain,
    p3(f4(c12),f4(f5(c15))),
    inference(resolve,[$cnf( p2(c12,f5(c15)) )],[p2_8,refute_0_1]) ).

cnf(refute_0_3,plain,
    p3(X_30,X_30),
    inference(subst,[],[p3_4:[bind(X12,$fot(X_30))]]) ).

cnf(refute_0_4,plain,
    ( ~ p3(X_30,X_29)
    | ~ p3(X_30,X_30)
    | p3(X_29,X_30) ),
    inference(subst,[],[p3_17:[bind(X12,$fot(X_30)),bind(X13,$fot(X_29)),bind(X14,$fot(X_30))]]) ).

cnf(refute_0_5,plain,
    ( ~ p3(X_30,X_29)
    | p3(X_29,X_30) ),
    inference(resolve,[$cnf( p3(X_30,X_30) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p3(f4(c12),f4(f5(c15)))
    | p3(f4(f5(c15)),f4(c12)) ),
    inference(subst,[],[refute_0_5:[bind(X_29,$fot(f4(f5(c15)))),bind(X_30,$fot(f4(c12)))]]) ).

cnf(refute_0_7,plain,
    p3(f4(f5(c15)),f4(c12)),
    inference(resolve,[$cnf( p3(f4(c12),f4(f5(c15))) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    p3(f4(f5(X_29)),X_29),
    inference(subst,[],[p3_9:[bind(X17,$fot(X_29))]]) ).

cnf(refute_0_9,plain,
    ( ~ p3(f4(f5(X_29)),X_29)
    | ~ p3(f4(f5(X_29)),X_30)
    | p3(X_29,X_30) ),
    inference(subst,[],[p3_17:[bind(X12,$fot(f4(f5(X_29)))),bind(X13,$fot(X_29)),bind(X14,$fot(X_30))]]) ).

cnf(refute_0_10,plain,
    ( ~ p3(f4(f5(X_29)),X_30)
    | p3(X_29,X_30) ),
    inference(resolve,[$cnf( p3(f4(f5(X_29)),X_29) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ p3(f4(f5(c15)),f4(c12))
    | p3(c15,f4(c12)) ),
    inference(subst,[],[refute_0_10:[bind(X_29,$fot(c15)),bind(X_30,$fot(f4(c12)))]]) ).

cnf(refute_0_12,plain,
    p3(c15,f4(c12)),
    inference(resolve,[$cnf( p3(f4(f5(c15)),f4(c12)) )],[refute_0_7,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ p3(c15,f4(c12))
    | ~ p7(X_386,X_384)
    | ~ p9(c15,X_386)
    | p9(f4(c12),X_384) ),
    inference(subst,[],[p9_19:[bind(X26,$fot(f4(c12))),bind(X27,$fot(X_384)),bind(X28,$fot(c15)),bind(X29,$fot(X_386))]]) ).

cnf(refute_0_14,plain,
    ( ~ p7(X_386,X_384)
    | ~ p9(c15,X_386)
    | p9(f4(c12),X_384) ),
    inference(resolve,[$cnf( p3(c15,f4(c12)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ p7(X_387,X_387)
    | ~ p9(c15,X_387)
    | p9(f4(c12),X_387) ),
    inference(subst,[],[refute_0_14:[bind(X_384,$fot(X_387)),bind(X_386,$fot(X_387))]]) ).

cnf(refute_0_16,plain,
    ( ~ p9(c15,X_387)
    | p9(f4(c12),X_387) ),
    inference(resolve,[$cnf( p7(X_387,X_387) )],[refute_0_0,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ p9(c15,f8(c13))
    | p9(f4(c12),f8(c13)) ),
    inference(subst,[],[refute_0_16:[bind(X_387,$fot(f8(c13)))]]) ).

cnf(refute_0_18,plain,
    p9(f4(c12),f8(c13)),
    inference(resolve,[$cnf( p9(c15,f8(c13)) )],[p9_7,refute_0_17]) ).

cnf(refute_0_19,plain,
    $false,
    inference(resolve,[$cnf( p9(f4(c12),f8(c13)) )],[refute_0_18,not_p9_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n027.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 04:40:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.53/16.71  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.53/16.71  
% 16.53/16.71  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.53/16.72  
%------------------------------------------------------------------------------