%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:17:01 EDT 2024
% Result : Unsatisfiable 1.83s 2.01s
% Output : Refutation 1.83s
% 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_codomain_is_idempotent,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
cnf(product_on_codomain,axiom,
product(codomain(X10),X10,X10),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(composition_is_well_defined,axiom,
( ~ product(X97,X96,X99)
| ~ product(X97,X96,X98)
| X99 = X98 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
cnf(c122,plain,
( ~ product(codomain(X114),X114,X113)
| X113 = X114 ),
inference(resolution,[status(thm)],[composition_is_well_defined,product_on_codomain]) ).
cnf(codomain_is_an_identity_map,axiom,
identity_map(codomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(mapping_from_codomain_of_x_to_x,axiom,
defined(codomain(X6),X6),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
cnf(identity2,axiom,
( ~ defined(X48,X47)
| ~ identity_map(X47)
| product(X48,X47,X48) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
cnf(c42,plain,
( ~ identity_map(X140)
| product(codomain(X140),X140,codomain(X140)) ),
inference(resolution,[status(thm)],[identity2,mapping_from_codomain_of_x_to_x]) ).
cnf(c190,plain,
product(codomain(codomain(X912)),codomain(X912),codomain(codomain(X912))),
inference(resolution,[status(thm)],[c42,codomain_is_an_identity_map]) ).
cnf(c4635,plain,
codomain(codomain(X917)) = codomain(X917),
inference(resolution,[status(thm)],[c190,c122]) ).
cnf(c4689,plain,
$false,
inference(resolution,[status(thm)],[c4635,prove_codomain_is_idempotent]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CAT014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 20:58:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 1.83/2.01 % Version: 1.5
% 1.83/2.01 % SZS status Unsatisfiable
% 1.83/2.01 % SZS output start CNFRefutation
% See solution above
% 1.83/2.01
% 1.83/2.01 % Initial clauses : 28
% 1.83/2.01 % Processed clauses : 353
% 1.83/2.01 % Factors computed : 16
% 1.83/2.01 % Resolvents computed: 4704
% 1.83/2.01 % Tautologies deleted: 61
% 1.83/2.01 % Forward subsumed : 246
% 1.83/2.01 % Backward subsumed : 13
% 1.83/2.01 % -------- CPU Time ---------
% 1.83/2.01 % User time : 1.626 s
% 1.83/2.01 % System time : 0.016 s
% 1.83/2.01 % Total time : 1.642 s
%------------------------------------------------------------------------------