%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n004.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 11:31:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    ( ~ sPE(d,inverse(c))
    | sPE(inverse(c),d) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    product(inverse(c),identity,inverse(c)),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).

cnf(g3,plain,
    product(inverse(b),inverse(a),d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d)]) ).

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

cnf(g5,plain,
    product(identity,d,d),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).

cnf(g6,plain,
    ( ~ product(identity,d,d)
    | ~ product(identity,d,inverse(c))
    | sPE(d,inverse(c)) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).

cnf(g7,plain,
    product(identity,inverse(a),inverse(a)),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).

cnf(g8,plain,
    product(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_c)]) ).

cnf(g9,plain,
    product(a,inverse(a),identity),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).

cnf(g10,plain,
    product(inverse(c),a,multiply(inverse(c),a)),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).

cnf(g11,plain,
    ( ~ product(inverse(c),a,multiply(inverse(c),a))
    | ~ product(inverse(c),c,identity)
    | ~ product(a,b,c)
    | product(multiply(inverse(c),a),b,identity) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g12,plain,
    ( ~ product(multiply(inverse(c),a),b,identity)
    | ~ product(multiply(inverse(c),a),inverse(a),inverse(c))
    | ~ product(b,d,inverse(a))
    | product(identity,d,inverse(c)) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g13,plain,
    ( ~ product(inverse(c),a,multiply(inverse(c),a))
    | ~ product(inverse(c),identity,inverse(c))
    | ~ product(a,inverse(a),identity)
    | product(multiply(inverse(c),a),inverse(a),inverse(c)) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g14,plain,
    product(b,inverse(b),identity),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).

cnf(g15,plain,
    ( ~ product(b,inverse(b),identity)
    | ~ product(inverse(b),inverse(a),d)
    | ~ product(identity,inverse(a),inverse(a))
    | product(b,d,inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 09:50:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  % symbols: 10
% 0.19/0.45  % clauses: 17
% 0.19/0.45  % start clauses: 1
% 0.19/0.45  % iterative deepening steps: 701
% 0.19/0.45  % maximum path limit: 4
% 0.19/0.45  % literal attempts: 69596
% 0.19/0.45  % depth failures: 38896
% 0.19/0.45  % regularity failures: 2186
% 0.19/0.45  % tautology failures: 4438
% 0.19/0.45  % reductions: 0
% 0.19/0.45  % extensions: 68996
% 0.19/0.45  % SAT variables: 10246
% 0.19/0.45  % SAT clauses: 24039
% 0.19/0.45  % WalkSAT solutions: 24039
% 0.19/0.45  % CDCL solutions: 0
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------