%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 11:31:40 EDT 2022

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    product(identity,a,a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity)]) ).

cnf(g1,plain,
    ~ product(a,inverse(a),identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_an_inverse)]) ).

cnf(g2,plain,
    product(inverse(a),a,identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).

cnf(g3,plain,
    ( ~ product(inverse(inverse(a)),inverse(a),identity)
    | ~ product(inverse(a),a,identity)
    | ~ product(identity,a,a)
    | product(inverse(inverse(a)),identity,a) ),
    inference(ground_cnf,[],[file('Axioms/GRP002-0.ax',associativity1)]) ).

cnf(g4,plain,
    product(inverse(inverse(a)),inverse(a),identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).

cnf(g5,plain,
    ( ~ product(inverse(inverse(a)),identity,a)
    | ~ product(inverse(inverse(a)),inverse(a),identity)
    | ~ product(identity,inverse(a),inverse(a))
    | product(a,inverse(a),identity) ),
    inference(ground_cnf,[],[file('Axioms/GRP002-0.ax',associativity2)]) ).

cnf(g6,plain,
    product(identity,inverse(a),inverse(a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.15  % Command  : satcop --statistics %s
% 0.14/0.37  % Computer : n024.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Tue Jun 14 05:26:18 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.38  % symbols: 7
% 0.14/0.38  % clauses: 13
% 0.14/0.38  % start clauses: 1
% 0.14/0.38  % iterative deepening steps: 106
% 0.14/0.38  % maximum path limit: 3
% 0.14/0.38  % literal attempts: 3075
% 0.14/0.38  % depth failures: 1817
% 0.14/0.38  % regularity failures: 17
% 0.14/0.38  % tautology failures: 57
% 0.14/0.38  % reductions: 0
% 0.14/0.38  % extensions: 3010
% 0.14/0.38  % SAT variables: 713
% 0.14/0.38  % SAT clauses: 1507
% 0.14/0.38  % WalkSAT solutions: 1505
% 0.14/0.38  % CDCL solutions: 0
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------