%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 : Sat Jul 16 05:24:08 EDT 2022

% Result   : Unsatisfiable 1.66s 1.85s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (   7 unt;   4 nHn;  18 RR)
%            Number of literals    :   43 (   9 equ;  16 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
    ( ~ part_of(A,B)
    | ~ incident_c(C,A)
    | incident_c(C,B) ) ).

cnf(c9_45,axiom,
    ( incident_c(ax0_sk13(A,B),B)
    | incident_c(ax0_sk13(A,B),A)
    | B = A ) ).

cnf(c9_48,axiom,
    ( ~ incident_c(ax0_sk13(A,B),A)
    | ~ incident_c(ax0_sk13(A,B),B)
    | B = A ) ).

cnf(part_of_antisymmetry_67,negated_conjecture,
    part_of(sk14,sk15) ).

cnf(part_of_antisymmetry_68,negated_conjecture,
    part_of(sk15,sk14) ).

cnf(part_of_antisymmetry_69,negated_conjecture,
    sk14 != sk15 ).

cnf(refute_0_0,plain,
    ( ~ incident_c(X_889,sk14)
    | ~ part_of(sk14,sk15)
    | incident_c(X_889,sk15) ),
    inference(subst,[],[part_of_defn_1:[bind(A,$fot(sk14)),bind(B,$fot(sk15)),bind(C,$fot(X_889))]]) ).

cnf(refute_0_1,plain,
    ( ~ incident_c(X_889,sk14)
    | incident_c(X_889,sk15) ),
    inference(resolve,[$cnf( part_of(sk14,sk15) )],[part_of_antisymmetry_67,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ incident_c(ax0_sk13(X_1419,sk14),sk14)
    | incident_c(ax0_sk13(X_1419,sk14),sk15) ),
    inference(subst,[],[refute_0_1:[bind(X_889,$fot(ax0_sk13(X_1419,sk14)))]]) ).

cnf(refute_0_3,plain,
    ( sk14 = X_1419
    | incident_c(ax0_sk13(X_1419,sk14),X_1419)
    | incident_c(ax0_sk13(X_1419,sk14),sk14) ),
    inference(subst,[],[c9_45:[bind(A,$fot(X_1419)),bind(B,$fot(sk14))]]) ).

cnf(refute_0_4,plain,
    ( sk14 = X_1419
    | incident_c(ax0_sk13(X_1419,sk14),X_1419)
    | incident_c(ax0_sk13(X_1419,sk14),sk15) ),
    inference(resolve,[$cnf( incident_c(ax0_sk13(X_1419,sk14),sk14) )],[refute_0_3,refute_0_2]) ).

cnf(refute_0_5,plain,
    ( sk14 = sk15
    | incident_c(ax0_sk13(sk15,sk14),sk15) ),
    inference(subst,[],[refute_0_4:[bind(X_1419,$fot(sk15))]]) ).

cnf(refute_0_6,plain,
    incident_c(ax0_sk13(sk15,sk14),sk15),
    inference(resolve,[$cnf( $equal(sk14,sk15) )],[refute_0_5,part_of_antisymmetry_69]) ).

cnf(refute_0_7,plain,
    ( ~ incident_c(ax0_sk13(sk15,sk14),sk14)
    | ~ incident_c(ax0_sk13(sk15,sk14),sk15)
    | sk14 = sk15 ),
    inference(subst,[],[c9_48:[bind(A,$fot(sk15)),bind(B,$fot(sk14))]]) ).

cnf(refute_0_8,plain,
    ( ~ incident_c(ax0_sk13(sk15,sk14),sk14)
    | sk14 = sk15 ),
    inference(resolve,[$cnf( incident_c(ax0_sk13(sk15,sk14),sk15) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ incident_c(X_889,sk15)
    | ~ part_of(sk15,sk14)
    | incident_c(X_889,sk14) ),
    inference(subst,[],[part_of_defn_1:[bind(A,$fot(sk15)),bind(B,$fot(sk14)),bind(C,$fot(X_889))]]) ).

cnf(refute_0_10,plain,
    ( ~ incident_c(X_889,sk15)
    | incident_c(X_889,sk14) ),
    inference(resolve,[$cnf( part_of(sk15,sk14) )],[part_of_antisymmetry_68,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ incident_c(ax0_sk13(sk15,sk14),sk15)
    | incident_c(ax0_sk13(sk15,sk14),sk14) ),
    inference(subst,[],[refute_0_10:[bind(X_889,$fot(ax0_sk13(sk15,sk14)))]]) ).

cnf(refute_0_12,plain,
    incident_c(ax0_sk13(sk15,sk14),sk14),
    inference(resolve,[$cnf( incident_c(ax0_sk13(sk15,sk14),sk15) )],[refute_0_6,refute_0_11]) ).

cnf(refute_0_13,plain,
    sk14 = sk15,
    inference(resolve,[$cnf( incident_c(ax0_sk13(sk15,sk14),sk14) )],[refute_0_12,refute_0_8]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( $equal(sk14,sk15) )],[refute_0_13,part_of_antisymmetry_69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n021.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 : Fri Jun 17 23:59:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.66/1.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.85  
% 1.66/1.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.66/1.85  
%------------------------------------------------------------------------------