%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO146-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 05:24:39 EDT 2022

% Result   : Unsatisfiable 0.92s 1.09s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (   6 unt;   3 nHn;  19 RR)
%            Number of literals    :   32 (   0 equ;  12 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(connect_defn_1,axiom,
    ( ~ connect(A,B,C)
    | once(at_the_same_time(at(A,C),at(B,C))) ) ).

cnf(connect_defn_2,axiom,
    ( ~ once(at_the_same_time(at(A,B),at(C,B)))
    | connect(A,C,B) ) ).

cnf(symmetry_of_at_the_same_time_4,axiom,
    ( ~ once(at_the_same_time(A,B))
    | once(at_the_same_time(B,A)) ) ).

cnf(t12_156,negated_conjecture,
    ( connect(sk27,sk28,sk29)
    | connect(sk28,sk27,sk29) ) ).

cnf(t12_159,negated_conjecture,
    ( ~ connect(sk28,sk27,sk29)
    | ~ connect(sk27,sk28,sk29) ) ).

cnf(refute_0_0,plain,
    ( ~ once(at_the_same_time(at(sk28,sk29),at(sk27,sk29)))
    | connect(sk28,sk27,sk29) ),
    inference(subst,[],[connect_defn_2:[bind(A,$fot(sk28)),bind(B,$fot(sk29)),bind(C,$fot(sk27))]]) ).

cnf(refute_0_1,plain,
    ( ~ once(at_the_same_time(at(sk27,sk29),at(sk28,sk29)))
    | once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) ),
    inference(subst,[],[symmetry_of_at_the_same_time_4:[bind(A,$fot(at(sk27,sk29))),bind(B,$fot(at(sk28,sk29)))]]) ).

cnf(refute_0_2,plain,
    ( ~ connect(sk27,sk28,sk29)
    | once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))) ),
    inference(subst,[],[connect_defn_1:[bind(A,$fot(sk27)),bind(B,$fot(sk28)),bind(C,$fot(sk29))]]) ).

cnf(refute_0_3,plain,
    ( ~ once(at_the_same_time(at(sk28,sk29),at(sk27,sk29)))
    | once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))) ),
    inference(subst,[],[symmetry_of_at_the_same_time_4:[bind(A,$fot(at(sk28,sk29))),bind(B,$fot(at(sk27,sk29)))]]) ).

cnf(refute_0_4,plain,
    ( ~ connect(sk28,sk27,sk29)
    | once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) ),
    inference(subst,[],[connect_defn_1:[bind(A,$fot(sk28)),bind(B,$fot(sk27)),bind(C,$fot(sk29))]]) ).

cnf(refute_0_5,plain,
    ( connect(sk27,sk28,sk29)
    | once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) ),
    inference(resolve,[$cnf( connect(sk28,sk27,sk29) )],[t12_156,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( connect(sk27,sk28,sk29)
    | once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))) ),
    inference(resolve,[$cnf( once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    ( ~ once(at_the_same_time(at(sk27,sk29),at(sk28,sk29)))
    | connect(sk27,sk28,sk29) ),
    inference(subst,[],[connect_defn_2:[bind(A,$fot(sk27)),bind(B,$fot(sk29)),bind(C,$fot(sk28))]]) ).

cnf(refute_0_8,plain,
    connect(sk27,sk28,sk29),
    inference(resolve,[$cnf( once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))),
    inference(resolve,[$cnf( connect(sk27,sk28,sk29) )],[refute_0_8,refute_0_2]) ).

cnf(refute_0_10,plain,
    once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))),
    inference(resolve,[$cnf( once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))) )],[refute_0_9,refute_0_1]) ).

cnf(refute_0_11,plain,
    connect(sk28,sk27,sk29),
    inference(resolve,[$cnf( once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) )],[refute_0_10,refute_0_0]) ).

cnf(refute_0_12,plain,
    ~ connect(sk27,sk28,sk29),
    inference(resolve,[$cnf( connect(sk28,sk27,sk29) )],[refute_0_11,t12_159]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( connect(sk27,sk28,sk29) )],[refute_0_8,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO146-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 14:47:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.09  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.09  
% 0.92/1.09  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.09  
%------------------------------------------------------------------------------