%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : COM001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 : Fri Jul 15 01:32:24 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   8 unt;   0 nHn;  18 RR)
%            Number of literals    :   32 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(direct_success,axiom,
    ( succeeds(Goal_state,Start_state)
    | ~ follows(Goal_state,Start_state) ) ).

cnf(transitivity_of_success,axiom,
    ( succeeds(Goal_state,Start_state)
    | ~ succeeds(Goal_state,Intermediate_state)
    | ~ succeeds(Intermediate_state,Start_state) ) ).

cnf(goto_success,axiom,
    ( succeeds(Goal_state,Start_state)
    | ~ has(Start_state,goto(Label))
    | ~ labels(Label,Goal_state) ) ).

cnf(label_state_3,hypothesis,
    labels(loop,p3) ).

cnf(transition_3_to_8,hypothesis,
    follows(p8,p3) ).

cnf(state_8,hypothesis,
    has(p8,goto(loop)) ).

cnf(prove_there_is_a_loop_through_p3,negated_conjecture,
    ~ succeeds(p3,p3) ).

cnf(refute_0_0,plain,
    ( ~ follows(p8,p3)
    | succeeds(p8,p3) ),
    inference(subst,[],[direct_success:[bind(Goal_state,$fot(p8)),bind(Start_state,$fot(p3))]]) ).

cnf(refute_0_1,plain,
    succeeds(p8,p3),
    inference(resolve,[$cnf( follows(p8,p3) )],[transition_3_to_8,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ succeeds(X_5,p8)
    | ~ succeeds(p8,p3)
    | succeeds(X_5,p3) ),
    inference(subst,[],[transitivity_of_success:[bind(Goal_state,$fot(X_5)),bind(Intermediate_state,$fot(p8)),bind(Start_state,$fot(p3))]]) ).

cnf(refute_0_3,plain,
    ( ~ succeeds(X_5,p8)
    | succeeds(X_5,p3) ),
    inference(resolve,[$cnf( succeeds(p8,p3) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ succeeds(p3,p8)
    | succeeds(p3,p3) ),
    inference(subst,[],[refute_0_3:[bind(X_5,$fot(p3))]]) ).

cnf(refute_0_5,plain,
    ( ~ has(p8,goto(loop))
    | ~ labels(loop,X_16)
    | succeeds(X_16,p8) ),
    inference(subst,[],[goto_success:[bind(Goal_state,$fot(X_16)),bind(Label,$fot(loop)),bind(Start_state,$fot(p8))]]) ).

cnf(refute_0_6,plain,
    ( ~ labels(loop,X_16)
    | succeeds(X_16,p8) ),
    inference(resolve,[$cnf( has(p8,goto(loop)) )],[state_8,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ labels(loop,p3)
    | succeeds(p3,p8) ),
    inference(subst,[],[refute_0_6:[bind(X_16,$fot(p3))]]) ).

cnf(refute_0_8,plain,
    succeeds(p3,p8),
    inference(resolve,[$cnf( labels(loop,p3) )],[label_state_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    succeeds(p3,p3),
    inference(resolve,[$cnf( succeeds(p3,p8) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( succeeds(p3,p3) )],[refute_0_9,prove_there_is_a_loop_through_p3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : COM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.36  % Computer : n010.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Thu Jun 16 16:52:23 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37  
%------------------------------------------------------------------------------