%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n028.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 00:06:53 EDT 2022

% Result   : Unsatisfiable 2.58s 0.76s
% Output   : Proof 2.58s
% 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(codomain(h),h,h),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_codomain)]) ).

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

cnf(g4,plain,
    product(b,g,d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bg_equals_d)]) ).

cnf(g5,plain,
    identity_map(codomain(h)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

cnf(g6,plain,
    product(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c)]) ).

cnf(g7,plain,
    defined(codomain(h),h),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x)]) ).

cnf(g8,plain,
    ( ~ product(b,g,d)
    | ~ product(a,b,c)
    | ~ product(a,d,compose(a,d))
    | product(c,g,compose(a,d)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

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

cnf(g10,plain,
    ( ~ product(b,h,d)
    | ~ product(a,b,c)
    | ~ product(a,d,compose(a,d))
    | product(c,h,compose(a,d)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

cnf(g11,plain,
    ( ~ defined(c,codomain(h))
    | ~ defined(codomain(h),h)
    | ~ identity_map(codomain(h))
    | defined(c,h) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom6)]) ).

cnf(g12,plain,
    ( ~ defined(b,codomain(h))
    | ~ identity_map(codomain(h))
    | product(b,codomain(h),b) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity2)]) ).

cnf(g13,plain,
    ( ~ product(c,g,compose(a,d))
    | ~ product(c,h,compose(a,d))
    | sPE(g,h) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product)]) ).

cnf(g14,plain,
    ( ~ defined(c,h)
    | ~ product(a,b,c)
    | ~ product(b,h,d)
    | defined(a,d) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom1)]) ).

cnf(g15,plain,
    ( ~ product(b,h,d)
    | defined(b,h) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g16,plain,
    ( ~ product(c,codomain(h),c)
    | defined(c,codomain(h)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g17,plain,
    ( ~ defined(b,h)
    | ~ product(codomain(h),h,h)
    | defined(b,codomain(h)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CAT001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n028.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 23:02:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.58/0.76  % symbols: 14
% 2.58/0.76  % clauses: 32
% 2.58/0.76  % start clauses: 1
% 2.58/0.76  % iterative deepening steps: 1048
% 2.58/0.76  % maximum path limit: 6
% 2.58/0.76  % literal attempts: 615697
% 2.58/0.76  % depth failures: 429324
% 2.58/0.76  % regularity failures: 12180
% 2.58/0.76  % tautology failures: 30156
% 2.58/0.76  % reductions: 0
% 2.58/0.76  % extensions: 614849
% 2.58/0.76  % SAT variables: 66529
% 2.58/0.76  % SAT clauses: 160830
% 2.58/0.76  % WalkSAT solutions: 160831
% 2.58/0.76  % CDCL solutions: 0
% 2.58/0.76  % SZS status Unsatisfiable for theBenchmark
% 2.58/0.76  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------