%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP022-1 : 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 11:31:36 EDT 2022

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    product(inverse(inverse(a)),identity,inverse(inverse(a))),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).

cnf(g2,plain,
    ( ~ product(identity,a,inverse(inverse(a)))
    | ~ product(identity,a,a)
    | sPE(inverse(inverse(a)),a) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).

cnf(g3,plain,
    product(identity,a,a),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).

cnf(g4,plain,
    product(inverse(a),a,identity),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).

cnf(g5,plain,
    ( ~ product(inverse(inverse(a)),inverse(a),identity)
    | ~ product(inverse(inverse(a)),identity,inverse(inverse(a)))
    | ~ product(inverse(a),a,identity)
    | product(identity,a,inverse(inverse(a))) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g6,plain,
    product(inverse(inverse(a)),inverse(a),identity),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : satcop --statistics %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 21:41:24 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % symbols: 7
% 0.14/0.36  % clauses: 15
% 0.14/0.36  % start clauses: 1
% 0.14/0.36  % iterative deepening steps: 96
% 0.14/0.36  % maximum path limit: 3
% 0.14/0.36  % literal attempts: 2846
% 0.14/0.36  % depth failures: 1667
% 0.14/0.36  % regularity failures: 125
% 0.14/0.36  % tautology failures: 194
% 0.14/0.36  % reductions: 0
% 0.14/0.36  % extensions: 2763
% 0.14/0.36  % SAT variables: 548
% 0.14/0.36  % SAT clauses: 1072
% 0.14/0.36  % WalkSAT solutions: 1066
% 0.14/0.36  % CDCL solutions: 0
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.36  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------