%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n007.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 11:31:42 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    subgroup_member(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup)]) ).

cnf(g2,plain,
    subgroup_member(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup)]) ).

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

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

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

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

cnf(g7,plain,
    ( ~ product(b,inverse(b),identity)
    | ~ subgroup_member(b)
    | ~ subgroup_member(b)
    | subgroup_member(identity) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).

cnf(g8,plain,
    product(a,identity,a),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).

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

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

cnf(g11,plain,
    product(identity,b,b),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).

cnf(g12,plain,
    product(identity,identity,identity),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).

cnf(g13,plain,
    ( ~ product(identity,inverse(b),inverse(b))
    | ~ subgroup_member(identity)
    | ~ subgroup_member(b)
    | subgroup_member(inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).

cnf(g14,plain,
    ( ~ product(b,inverse(b),identity)
    | ~ product(b,identity,b)
    | ~ product(inverse(b),inverse(inverse(b)),identity)
    | product(identity,inverse(inverse(b)),b) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g15,plain,
    ( ~ product(a,identity,multiply(a,identity))
    | ~ product(a,identity,a)
    | ~ product(identity,identity,identity)
    | product(multiply(a,identity),identity,a) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g16,plain,
    ( ~ product(a,identity,multiply(a,identity))
    | ~ product(a,b,c)
    | ~ product(identity,b,b)
    | product(multiply(a,identity),b,c) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

cnf(g17,plain,
    ( ~ product(a,inverse(inverse(b)),c)
    | ~ subgroup_member(a)
    | ~ subgroup_member(inverse(b))
    | subgroup_member(c) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).

cnf(g18,plain,
    ( ~ product(multiply(a,identity),identity,a)
    | ~ product(multiply(a,identity),b,c)
    | ~ product(identity,inverse(inverse(b)),b)
    | product(a,inverse(inverse(b)),c) ),
    inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n007.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 00:45:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  % symbols: 10
% 0.12/0.38  % clauses: 20
% 0.12/0.38  % start clauses: 1
% 0.12/0.38  % iterative deepening steps: 613
% 0.12/0.38  % maximum path limit: 4
% 0.12/0.38  % literal attempts: 40936
% 0.12/0.38  % depth failures: 22405
% 0.12/0.38  % regularity failures: 901
% 0.12/0.38  % tautology failures: 2142
% 0.12/0.38  % reductions: 0
% 0.12/0.38  % extensions: 40408
% 0.12/0.38  % SAT variables: 8146
% 0.12/0.38  % SAT clauses: 18092
% 0.12/0.38  % WalkSAT solutions: 18098
% 0.12/0.38  % CDCL solutions: 0
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------