%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 05:23:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t3,axiom,
    between(U,V,V) ).

cnf(t1,axiom,
    ( ~ between(U,V,W)
    | between(W,V,U) ) ).

cnf(prove_a_between_a_and_b,negated_conjecture,
    ~ between(a,a,b) ).

cnf(refute_0_0,plain,
    between(X_116,X_118,X_118),
    inference(subst,[],[t3:[bind(U,$fot(X_116)),bind(V,$fot(X_118))]]) ).

cnf(refute_0_1,plain,
    ( ~ between(X_116,X_118,X_118)
    | between(X_118,X_118,X_116) ),
    inference(subst,[],[t1:[bind(U,$fot(X_116)),bind(V,$fot(X_118)),bind(W,$fot(X_118))]]) ).

cnf(refute_0_2,plain,
    between(X_118,X_118,X_116),
    inference(resolve,[$cnf( between(X_116,X_118,X_118) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    between(a,a,b),
    inference(subst,[],[refute_0_2:[bind(X_116,$fot(b)),bind(X_118,$fot(a))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( between(a,a,b) )],[refute_0_3,prove_a_between_a_and_b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n003.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 : Sat Jun 18 11:54:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42  
%------------------------------------------------------------------------------