%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n008.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 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    product(identity,not_right_identity(identity),not_right_identity(identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity)]) ).

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

cnf(g3,plain,
    product(inverse(sG),sG,identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).

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

cnf(g5,plain,
    ( ~ product(identity,inverse(sG),inverse(sG))
    | ~ product(inverse(sG),sG,identity)
    | ~ product(inverse(sG),sG,identity)
    | product(identity,identity,identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1)]) ).

cnf(g6,plain,
    ( ~ product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity))
    | ~ product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity))
    | ~ product(identity,identity,identity)
    | product(not_right_identity(identity),identity,not_right_identity(identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2)]) ).

cnf(g7,plain,
    ( ~ product(inverse(inverse(not_right_identity(identity))),inverse(not_right_identity(identity)),identity)
    | ~ product(inverse(not_right_identity(identity)),not_right_identity(identity),identity)
    | ~ product(identity,not_right_identity(identity),not_right_identity(identity))
    | product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1)]) ).

cnf(g8,plain,
    product(inverse(inverse(not_right_identity(identity))),inverse(not_right_identity(identity)),identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n008.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 : Tue Jun 14 02:57:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % symbols: 8
% 0.12/0.35  % clauses: 16
% 0.12/0.35  % start clauses: 1
% 0.12/0.35  % iterative deepening steps: 89
% 0.12/0.35  % maximum path limit: 3
% 0.12/0.35  % literal attempts: 4467
% 0.12/0.35  % depth failures: 3291
% 0.12/0.35  % regularity failures: 18
% 0.12/0.35  % tautology failures: 239
% 0.12/0.35  % reductions: 0
% 0.12/0.35  % extensions: 4414
% 0.12/0.35  % SAT variables: 1331
% 0.12/0.35  % SAT clauses: 2296
% 0.12/0.35  % WalkSAT solutions: 2299
% 0.12/0.35  % CDCL solutions: 0
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------