%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT003-1 : 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 : Fri Jul 15 00:06:54 EDT 2022

% Result   : Unsatisfiable 1.80s 0.76s
% Output   : Proof 1.80s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(h,g),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g)]) ).

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

cnf(g2,plain,
    product(h,domain(h),h),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_domain)]) ).

cnf(g3,plain,
    ( ~ defined(h,c)
    | product(h,c,compose(h,c)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).

cnf(g4,plain,
    sPE(h,h),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    product(codomain(c),c,c),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_codomain)]) ).

cnf(g6,plain,
    product(h,a,d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_d)]) ).

cnf(g7,plain,
    product(g,a,d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ga_equals_d)]) ).

cnf(g8,plain,
    ( ~ product(g,c,compose(h,c))
    | ~ product(h,c,compose(h,c))
    | sPE(g,h) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product)]) ).

cnf(g9,plain,
    product(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c)]) ).

cnf(g10,plain,
    identity_map(domain(h)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',domain_is_an_identity_map)]) ).

cnf(g11,plain,
    defined(codomain(c),c),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x)]) ).

cnf(g12,plain,
    identity_map(codomain(c)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

cnf(g13,plain,
    ( ~ defined(h,codomain(c))
    | ~ defined(codomain(c),c)
    | ~ identity_map(codomain(c))
    | defined(h,c) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom6)]) ).

cnf(g14,plain,
    ( ~ product(h,codomain(c),h)
    | defined(h,codomain(c)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g15,plain,
    ( ~ sPE(h,h)
    | ~ sPE(domain(h),codomain(c))
    | ~ sPE(h,h)
    | ~ product(h,domain(h),h)
    | product(h,codomain(c),h) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ product(domain(h),c,c)
    | ~ product(codomain(c),c,c)
    | sPE(domain(h),codomain(c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product)]) ).

cnf(g17,plain,
    ( ~ defined(domain(h),a)
    | ~ identity_map(domain(h))
    | product(domain(h),a,a) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity1)]) ).

cnf(g18,plain,
    ( ~ product(a,b,c)
    | ~ product(h,a,d)
    | ~ product(h,c,compose(h,c))
    | product(d,b,compose(h,c)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

cnf(g19,plain,
    ( ~ product(h,a,d)
    | defined(h,a) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g20,plain,
    ( ~ defined(h,a)
    | ~ product(h,domain(h),h)
    | defined(domain(h),a) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property2)]) ).

cnf(g21,plain,
    ( ~ product(domain(h),a,a)
    | ~ product(a,b,c)
    | ~ product(a,b,c)
    | product(domain(h),c,c) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom2)]) ).

cnf(g22,plain,
    ( ~ product(g,a,d)
    | ~ product(a,b,c)
    | ~ product(d,b,compose(h,c))
    | product(g,c,compose(h,c)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CAT003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % 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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 19:30:00 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 1.80/0.76  % symbols: 14
% 1.80/0.76  % clauses: 32
% 1.80/0.76  % start clauses: 1
% 1.80/0.76  % iterative deepening steps: 898
% 1.80/0.76  % maximum path limit: 5
% 1.80/0.76  % literal attempts: 413900
% 1.80/0.76  % depth failures: 289337
% 1.80/0.76  % regularity failures: 8038
% 1.80/0.76  % tautology failures: 20162
% 1.80/0.76  % reductions: 0
% 1.80/0.76  % extensions: 413203
% 1.80/0.76  % SAT variables: 41430
% 1.80/0.76  % SAT clauses: 99596
% 1.80/0.76  % WalkSAT solutions: 99595
% 1.80/0.76  % CDCL solutions: 0
% 1.80/0.76  % SZS status Unsatisfiable for theBenchmark
% 1.80/0.76  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------