%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN710-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 09:04:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   4 unt;   6 nHn;  11 RR)
%            Number of literals    :   34 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   23 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p33_25,negated_conjecture,
    ~ p33(f11(c46,c50),f9(c47,c43)) ).

cnf(p33_50,negated_conjecture,
    p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)) ).

cnf(p33_72,negated_conjecture,
    ( p33(f11(c46,X79),X80)
    | p33(f18(c51,f20(f22(c52,X79),X80)),X79) ) ).

cnf(p33_73,negated_conjecture,
    ( p33(f11(c46,X79),X80)
    | ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80) ) ).

cnf(p33_75,negated_conjecture,
    ( p33(f18(c51,X13),f13(f16(c48,X14),X15))
    | ~ p33(f18(c51,X13),X15) ) ).

cnf(p33_80,negated_conjecture,
    ( p33(f18(c51,X81),X80)
    | ~ p33(f11(c46,X79),X80)
    | ~ p33(f18(c51,X81),X79) ) ).

cnf(refute_0_0,plain,
    ( ~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43))
    | p33(f11(c46,c50),f9(c47,c43)) ),
    inference(subst,[],[p33_73:[bind(X79,$fot(c50)),bind(X80,$fot(f9(c47,c43)))]]) ).

cnf(refute_0_1,plain,
    ( p33(f11(c46,X_168),X80)
    | p33(f18(c51,f20(f22(c52,X_168),X80)),X_168) ),
    inference(subst,[],[p33_72:[bind(X79,$fot(X_168))]]) ).

cnf(refute_0_2,plain,
    ( ~ p33(f18(c51,f20(f22(c52,X_168),X80)),X_168)
    | p33(f18(c51,f20(f22(c52,X_168),X80)),f13(f16(c48,X_167),X_168)) ),
    inference(subst,[],[p33_75:[bind(X13,$fot(f20(f22(c52,X_168),X80))),bind(X14,$fot(X_167)),bind(X15,$fot(X_168))]]) ).

cnf(refute_0_3,plain,
    ( p33(f11(c46,X_168),X80)
    | p33(f18(c51,f20(f22(c52,X_168),X80)),f13(f16(c48,X_167),X_168)) ),
    inference(resolve,[$cnf( p33(f18(c51,f20(f22(c52,X_168),X80)),X_168) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( p33(f11(c46,c50),X80)
    | p33(f18(c51,f20(f22(c52,c50),X80)),f13(f16(c48,c49),c50)) ),
    inference(subst,[],[refute_0_3:[bind(X_167,$fot(c49)),bind(X_168,$fot(c50))]]) ).

cnf(refute_0_5,plain,
    ( ~ p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43))
    | ~ p33(f18(c51,X_223),f13(f16(c48,c49),c50))
    | p33(f18(c51,X_223),f9(c47,c43)) ),
    inference(subst,[],[p33_80:[bind(X79,$fot(f13(f16(c48,c49),c50))),bind(X80,$fot(f9(c47,c43))),bind(X81,$fot(X_223))]]) ).

cnf(refute_0_6,plain,
    ( ~ p33(f18(c51,X_223),f13(f16(c48,c49),c50))
    | p33(f18(c51,X_223),f9(c47,c43)) ),
    inference(resolve,[$cnf( p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)) )],[p33_50,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p33(f18(c51,f20(f22(c52,c50),X80)),f13(f16(c48,c49),c50))
    | p33(f18(c51,f20(f22(c52,c50),X80)),f9(c47,c43)) ),
    inference(subst,[],[refute_0_6:[bind(X_223,$fot(f20(f22(c52,c50),X80)))]]) ).

cnf(refute_0_8,plain,
    ( p33(f11(c46,c50),X80)
    | p33(f18(c51,f20(f22(c52,c50),X80)),f9(c47,c43)) ),
    inference(resolve,[$cnf( p33(f18(c51,f20(f22(c52,c50),X80)),f13(f16(c48,c49),c50)) )],[refute_0_4,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( p33(f11(c46,c50),f9(c47,c43))
    | p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)) ),
    inference(subst,[],[refute_0_8:[bind(X80,$fot(f9(c47,c43)))]]) ).

cnf(refute_0_10,plain,
    p33(f11(c46,c50),f9(c47,c43)),
    inference(resolve,[$cnf( p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)) )],[refute_0_9,refute_0_0]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( p33(f11(c46,c50),f9(c47,c43)) )],[refute_0_10,not_p33_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN710-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.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 08:37:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40  
% 0.20/0.40  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41  
%------------------------------------------------------------------------------