%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 : Fri Jul 15 00:06:56 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    product(codomain(b),b,b),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_codomain)]) ).

cnf(g2,plain,
    ( ~ defined(codomain(compose(b,a)),codomain(b))
    | ~ identity_map(codomain(compose(b,a)))
    | product(codomain(compose(b,a)),codomain(b),codomain(b)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity1)]) ).

cnf(g3,plain,
    defined(codomain(compose(b,a)),compose(b,a)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x)]) ).

cnf(g4,plain,
    ( ~ defined(b,a)
    | product(b,a,compose(b,a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).

cnf(g5,plain,
    ( ~ defined(codomain(compose(b,a)),codomain(b))
    | ~ identity_map(codomain(b))
    | product(codomain(compose(b,a)),codomain(b),codomain(compose(b,a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity2)]) ).

cnf(g6,plain,
    identity_map(codomain(b)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

cnf(g7,plain,
    identity_map(codomain(compose(b,a))),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

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

cnf(g9,plain,
    ( ~ defined(codomain(compose(b,a)),b)
    | ~ product(codomain(b),b,b)
    | defined(codomain(compose(b,a)),codomain(b)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

cnf(g10,plain,
    ( ~ product(codomain(compose(b,a)),codomain(b),codomain(compose(b,a)))
    | ~ product(codomain(compose(b,a)),codomain(b),codomain(b))
    | sPE(codomain(compose(b,a)),codomain(b)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',composition_is_well_defined)]) ).

cnf(g11,plain,
    ( ~ defined(codomain(compose(b,a)),compose(b,a))
    | ~ product(b,a,compose(b,a))
    | defined(codomain(compose(b,a)),b) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 16:53:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  % symbols: 10
% 0.18/0.45  % clauses: 29
% 0.18/0.45  % start clauses: 1
% 0.18/0.45  % iterative deepening steps: 493
% 0.18/0.45  % maximum path limit: 5
% 0.18/0.45  % literal attempts: 62365
% 0.18/0.45  % depth failures: 40511
% 0.18/0.45  % regularity failures: 1879
% 0.18/0.45  % tautology failures: 5571
% 0.18/0.45  % reductions: 0
% 0.18/0.45  % extensions: 62024
% 0.18/0.45  % SAT variables: 9581
% 0.18/0.45  % SAT clauses: 21015
% 0.18/0.45  % WalkSAT solutions: 21011
% 0.18/0.45  % CDCL solutions: 0
% 0.18/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.45  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------