%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 00:06:55 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(codomain(a),h),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_h)]) ).

cnf(g1,plain,
    ( ~ sPE(h,codomain(a))
    | sPE(codomain(a),h) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g3,plain,
    product(codomain(a),domain(codomain(a)),codomain(a)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_domain)]) ).

cnf(g4,plain,
    product(codomain(a),a,a),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_codomain)]) ).

cnf(g5,plain,
    defined(h,a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_defined)]) ).

cnf(g6,plain,
    ( ~ product(codomain(a),domain(codomain(a)),h)
    | ~ product(codomain(a),domain(codomain(a)),codomain(a))
    | sPE(h,codomain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',composition_is_well_defined)]) ).

cnf(g7,plain,
    ( ~ product(codomain(a),domain(codomain(a)),codomain(a))
    | ~ product(h,codomain(a),codomain(a))
    | ~ product(h,codomain(a),h)
    | product(codomain(a),domain(codomain(a)),h) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

cnf(g8,plain,
    identity_map(h),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_is_the_identity_map)]) ).

cnf(g9,plain,
    ( ~ defined(h,codomain(a))
    | ~ identity_map(codomain(a))
    | product(h,codomain(a),h) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity2)]) ).

cnf(g10,plain,
    ( ~ defined(h,a)
    | ~ product(codomain(a),a,a)
    | defined(h,codomain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

cnf(g11,plain,
    identity_map(codomain(a)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n024.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 : Sun May 29 18:59:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  % symbols: 10
% 0.13/0.37  % clauses: 30
% 0.13/0.37  % start clauses: 1
% 0.13/0.37  % iterative deepening steps: 327
% 0.13/0.37  % maximum path limit: 4
% 0.13/0.37  % literal attempts: 21357
% 0.13/0.37  % depth failures: 13792
% 0.13/0.37  % regularity failures: 738
% 0.13/0.37  % tautology failures: 2162
% 0.13/0.37  % reductions: 0
% 0.13/0.37  % extensions: 21131
% 0.13/0.37  % SAT variables: 2970
% 0.13/0.37  % SAT clauses: 5888
% 0.13/0.37  % WalkSAT solutions: 5887
% 0.13/0.37  % CDCL solutions: 0
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------