%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:17:00 EDT 2024
% Result : Unsatisfiable 1.65s 1.83s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
cnf(product_on_domain,axiom,
product(X9,domain(X9),X9),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
cnf(composition_is_well_defined,axiom,
( ~ product(X99,X96,X97)
| ~ product(X99,X96,X98)
| X97 = X98 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(c122,plain,
( ~ product(X103,domain(X103),X104)
| X104 = X103 ),
inference(resolution,[status(thm)],[composition_is_well_defined,product_on_domain]) ).
cnf(domain_is_an_identity_map,axiom,
identity_map(domain(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
cnf(mapping_from_x_to_its_domain,axiom,
defined(X5,domain(X5)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
cnf(identity1,axiom,
( ~ defined(X46,X45)
| ~ identity_map(X46)
| product(X46,X45,X45) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
cnf(c36,plain,
( ~ identity_map(X136)
| product(X136,domain(X136),domain(X136)) ),
inference(resolution,[status(thm)],[identity1,mapping_from_x_to_its_domain]) ).
cnf(c189,plain,
product(domain(X907),domain(domain(X907)),domain(domain(X907))),
inference(resolution,[status(thm)],[c36,domain_is_an_identity_map]) ).
cnf(c4465,plain,
domain(domain(X910)) = domain(X910),
inference(resolution,[status(thm)],[c189,c122]) ).
cnf(c4521,plain,
$false,
inference(resolution,[status(thm)],[c4465,prove_domain_is_idempotent]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : CAT011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.32 % Computer : n026.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed May 8 21:05:23 EDT 2024
% 0.10/0.32 % CPUTime :
% 1.65/1.83 % Version: 1.5
% 1.65/1.83 % SZS status Unsatisfiable
% 1.65/1.83 % SZS output start CNFRefutation
% See solution above
% 1.65/1.83
% 1.65/1.83 % Initial clauses : 28
% 1.65/1.83 % Processed clauses : 349
% 1.65/1.83 % Factors computed : 16
% 1.65/1.83 % Resolvents computed: 4509
% 1.65/1.83 % Tautologies deleted: 63
% 1.65/1.83 % Forward subsumed : 239
% 1.65/1.83 % Backward subsumed : 13
% 1.65/1.83 % -------- CPU Time ---------
% 1.65/1.83 % User time : 1.482 s
% 1.65/1.83 % System time : 0.017 s
% 1.65/1.83 % Total time : 1.499 s
%------------------------------------------------------------------------------