%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 : 300s
% DateTime : Thu May 9 17:16:58 EDT 2024
% Result : Unsatisfiable 8.11s 8.27s
% Output : Refutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 4 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_codomain_of_a_is_h,negated_conjecture,
codomain(a) != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
cnf(h_is_the_identity_map,plain,
identity_map(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_is_the_identity_map) ).
cnf(identity1,axiom,
( ~ defined(X39,X40)
| ~ identity_map(X39)
| product(X39,X40,X40) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(ha_defined,plain,
defined(h,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_defined) ).
cnf(product_on_codomain,axiom,
product(codomain(X10),X10,X10),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(category_theory_axiom3,axiom,
( ~ product(X60,X59,X58)
| ~ defined(X57,X58)
| defined(X57,X60) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(c59,plain,
( ~ defined(X64,X65)
| defined(X64,codomain(X65)) ),
inference(resolution,[status(thm)],[category_theory_axiom3,product_on_codomain]) ).
cnf(c68,plain,
defined(h,codomain(a)),
inference(resolution,[status(thm)],[c59,ha_defined]) ).
cnf(c85,plain,
( ~ identity_map(h)
| product(h,codomain(a),codomain(a)) ),
inference(resolution,[status(thm)],[c68,identity1]) ).
cnf(c1109,plain,
product(h,codomain(a),codomain(a)),
inference(resolution,[status(thm)],[c85,h_is_the_identity_map]) ).
cnf(composition_is_well_defined,axiom,
( ~ product(X95,X97,X96)
| ~ product(X95,X97,X94)
| X96 = X94 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(codomain_is_an_identity_map,axiom,
identity_map(codomain(X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(identity2,axiom,
( ~ defined(X47,X48)
| ~ identity_map(X48)
| product(X47,X48,X47) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(c82,plain,
( ~ identity_map(codomain(a))
| product(h,codomain(a),h) ),
inference(resolution,[status(thm)],[c68,identity2]) ).
cnf(c1056,plain,
product(h,codomain(a),h),
inference(resolution,[status(thm)],[c82,codomain_is_an_identity_map]) ).
cnf(c1094,plain,
( ~ product(h,codomain(a),X1329)
| X1329 = h ),
inference(resolution,[status(thm)],[c1056,composition_is_well_defined]) ).
cnf(c13525,plain,
codomain(a) = h,
inference(resolution,[status(thm)],[c1094,c1109]) ).
cnf(c13593,plain,
$false,
inference(resolution,[status(thm)],[c13525,prove_codomain_of_a_is_h]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : CAT006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed May 8 21:02:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 8.11/8.27 % Version: 1.5
% 8.11/8.27 % SZS status Unsatisfiable
% 8.11/8.27 % SZS output start CNFRefutation
% See solution above
% 8.11/8.27
% 8.11/8.27 % Initial clauses : 30
% 8.11/8.27 % Processed clauses : 838
% 8.11/8.27 % Factors computed : 23
% 8.11/8.27 % Resolvents computed: 13585
% 8.11/8.27 % Tautologies deleted: 86
% 8.11/8.27 % Forward subsumed : 1100
% 8.11/8.27 % Backward subsumed : 46
% 8.11/8.27 % -------- CPU Time ---------
% 8.11/8.27 % User time : 7.953 s
% 8.11/8.27 % System time : 0.029 s
% 8.11/8.27 % Total time : 7.982 s
%------------------------------------------------------------------------------