%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 0.21s 0.64s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 9 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
cnf(symmetry,axiom,
( X15 != X14
| X14 = X15 ),
theory(equality) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X26,X25))
| domain(X26) = codomain(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(assume_domain_exists,plain,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X12))
| there_exists(X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
cnf(c8,plain,
there_exists(a),
inference(resolution,[status(thm)],[domain_has_elements,assume_domain_exists]) ).
cnf(compose_domain,axiom,
compose(X17,domain(X17)) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(c15,plain,
X21 = compose(X21,domain(X21)),
inference(resolution,[status(thm)],[compose_domain,symmetry]) ).
cnf(c5,axiom,
( X29 != X30
| ~ there_exists(X29)
| there_exists(X30) ),
theory(equality) ).
cnf(c27,plain,
( ~ there_exists(X44)
| there_exists(compose(X44,domain(X44))) ),
inference(resolution,[status(thm)],[c5,c15]) ).
cnf(c46,plain,
there_exists(compose(a,domain(a))),
inference(resolution,[status(thm)],[c27,c8]) ).
cnf(c50,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[status(thm)],[c46,domain_codomain_composition1]) ).
cnf(c266,plain,
codomain(domain(a)) = domain(a),
inference(resolution,[status(thm)],[c50,symmetry]) ).
cnf(c497,plain,
$false,
inference(resolution,[status(thm)],[c266,prove_codomain_of_domain_is_domain]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 20:58:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.64 % Version: 1.5
% 0.21/0.64 % SZS status Unsatisfiable
% 0.21/0.64 % SZS output start CNFRefutation
% See solution above
% 0.21/0.64
% 0.21/0.64 % Initial clauses : 28
% 0.21/0.64 % Processed clauses : 69
% 0.21/0.64 % Factors computed : 5
% 0.21/0.64 % Resolvents computed: 521
% 0.21/0.64 % Tautologies deleted: 3
% 0.21/0.64 % Forward subsumed : 36
% 0.21/0.64 % Backward subsumed : 0
% 0.21/0.64 % -------- CPU Time ---------
% 0.21/0.64 % User time : 0.274 s
% 0.21/0.64 % System time : 0.012 s
% 0.21/0.64 % Total time : 0.286 s
%------------------------------------------------------------------------------