%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n027.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 : Thu Jul 14 17:58:16 EDT 2022

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ greater_than_0(multiplicative_inverse(a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_greater_than_0)]) ).

cnf(g1,plain,
    ( product(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity)
    | greater_than_0(multiplicative_inverse(a))
    | greater_than_0(additive_inverse(multiplicative_inverse(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_and_inverse)]) ).

cnf(g2,plain,
    greater_than_0(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_greater_than_0)]) ).

cnf(g3,plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_inverse(a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity)]) ).

cnf(g4,plain,
    ( product(a,a,additive_identity)
    | product(a,multiplicative_inverse(a),multiplicative_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_and_identity)]) ).

cnf(g5,plain,
    ( ~ product(a,a,additive_identity)
    | ~ greater_than_0(a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',greater_than_0_square)]) ).

cnf(g6,plain,
    ( ~ product(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_inverse(a)),multiplicative_inverse(a))
    | ~ greater_than_0(additive_inverse(multiplicative_identity))
    | ~ greater_than_0(additive_inverse(multiplicative_inverse(a)))
    | greater_than_0(multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_and_greater_than_0)]) ).

cnf(g7,plain,
    ( ~ product(a,additive_inverse(multiplicative_inverse(a)),additive_inverse(multiplicative_identity))
    | ~ greater_than_0(a)
    | ~ greater_than_0(additive_inverse(multiplicative_inverse(a)))
    | greater_than_0(additive_inverse(multiplicative_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_and_greater_than_0)]) ).

cnf(g8,plain,
    ( ~ product(a,multiplicative_inverse(a),multiplicative_identity)
    | product(a,additive_inverse(multiplicative_inverse(a)),additive_inverse(multiplicative_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_inverse)]) ).

cnf(g9,plain,
    ( ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a))
    | product(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_inverse(a)),multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_of_inverses1)]) ).

cnf(g10,plain,
    ( ~ product(multiplicative_inverse(a),multiplicative_identity,multiplicative_inverse(a))
    | product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_product)]) ).

cnf(g11,plain,
    ~ product(multiplicative_identity,multiplicative_identity,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_abelian)]) ).

cnf(g12,plain,
    ( ~ product(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity)
    | ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | product(multiplicative_identity,multiplicative_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_to_0)]) ).

cnf(g13,plain,
    ( ~ product(a,multiplicative_inverse(a),multiplicative_identity)
    | product(multiplicative_inverse(a),a,multiplicative_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_product)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 : Wed Jun  8 11:31:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  % symbols: 9
% 0.12/0.37  % clauses: 14
% 0.12/0.37  % start clauses: 1
% 0.12/0.37  % iterative deepening steps: 188
% 0.12/0.37  % maximum path limit: 5
% 0.12/0.37  % literal attempts: 49878
% 0.12/0.37  % depth failures: 25685
% 0.12/0.37  % regularity failures: 10131
% 0.12/0.37  % tautology failures: 9821
% 0.12/0.37  % reductions: 3457
% 0.12/0.37  % extensions: 46301
% 0.12/0.37  % SAT variables: 2272
% 0.12/0.37  % SAT clauses: 4400
% 0.12/0.37  % WalkSAT solutions: 4399
% 0.12/0.37  % CDCL solutions: 0
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------