%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 05:24:25 EDT 2022

% Result   : Unsatisfiable 2.74s 2.96s
% Output   : CNFRefutation 2.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   20 (   3 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   19 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(between_c_defn_1,axiom,
    ( ~ between_c(A,B,C,D)
    | B != D ) ).

cnf(between_o_defn_5,axiom,
    ( ~ ordered_by(A,B,C)
    | ~ ordered_by(A,C,D)
    | between_o(A,B,C,D) ) ).

cnf(o3_24,axiom,
    ( ~ between_o(A,B,C,D)
    | between_c(ax2_sk4(A,D,C,B),B,C,D) ) ).

cnf(theorem_4_4_133,negated_conjecture,
    ordered_by(sk25,sk26,sk26) ).

cnf(refute_0_0,plain,
    ( ~ ordered_by(sk25,sk26,sk26)
    | between_o(sk25,sk26,sk26,sk26) ),
    inference(subst,[],[between_o_defn_5:[bind(A,$fot(sk25)),bind(B,$fot(sk26)),bind(C,$fot(sk26)),bind(D,$fot(sk26))]]) ).

cnf(refute_0_1,plain,
    between_o(sk25,sk26,sk26,sk26),
    inference(resolve,[$cnf( ordered_by(sk25,sk26,sk26) )],[theorem_4_4_133,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ between_o(sk25,sk26,sk26,sk26)
    | between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26) ),
    inference(subst,[],[o3_24:[bind(A,$fot(sk25)),bind(B,$fot(sk26)),bind(C,$fot(sk26)),bind(D,$fot(sk26))]]) ).

cnf(refute_0_3,plain,
    between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26),
    inference(resolve,[$cnf( between_o(sk25,sk26,sk26,sk26) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( D != D
    | ~ between_c(A,D,C,D) ),
    inference(subst,[],[between_c_defn_1:[bind(B,$fot(D))]]) ).

cnf(refute_0_5,plain,
    D = D,
    introduced(tautology,[refl,[$fot(D)]]) ).

cnf(refute_0_6,plain,
    ~ between_c(A,D,C,D),
    inference(resolve,[$cnf( $equal(D,D) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    ~ between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26),
    inference(subst,[],[refute_0_6:[bind(A,$fot(ax2_sk4(sk25,sk26,sk26,sk26))),bind(C,$fot(sk26)),bind(D,$fot(sk26))]]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26) )],[refute_0_3,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n025.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 : Sat Jun 18 05:00:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.74/2.96  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/2.96  
% 2.74/2.96  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.74/2.96  
%------------------------------------------------------------------------------