%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n005.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 11:31:31 EDT 2022

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ an_element(inverse(the_element)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_inverse_is_in_set)]) ).

cnf(g1,plain,
    an_element(the_element),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set)]) ).

cnf(g2,plain,
    ( ~ product(identity,inverse(the_element),inverse(the_element))
    | ~ an_element(identity)
    | ~ an_element(the_element)
    | an_element(inverse(the_element)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition)]) ).

cnf(g3,plain,
    product(identity,inverse(the_element),inverse(the_element)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity)]) ).

cnf(g4,plain,
    ( ~ product(the_element,inverse(the_element),identity)
    | ~ an_element(the_element)
    | ~ an_element(the_element)
    | an_element(identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition)]) ).

cnf(g5,plain,
    product(the_element,inverse(the_element),identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : satcop --statistics %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 03:09:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  % symbols: 7
% 0.14/0.37  % clauses: 9
% 0.14/0.37  % start clauses: 1
% 0.14/0.37  % iterative deepening steps: 44
% 0.14/0.37  % maximum path limit: 3
% 0.14/0.37  % literal attempts: 213
% 0.14/0.37  % depth failures: 77
% 0.14/0.37  % regularity failures: 0
% 0.14/0.37  % tautology failures: 8
% 0.14/0.37  % reductions: 0
% 0.14/0.37  % extensions: 173
% 0.14/0.37  % SAT variables: 100
% 0.14/0.37  % SAT clauses: 117
% 0.14/0.37  % WalkSAT solutions: 110
% 0.14/0.37  % CDCL solutions: 0
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------