%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT013-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 8 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_domain_of_codomain_is_codomain,negated_conjecture,
domain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X20,X19))
| domain(X20) = codomain(X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(assume_codomain_exists,plain,
there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_codomain_exists) ).
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X11))
| there_exists(X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',codomain_has_elements) ).
cnf(c7,plain,
there_exists(a),
inference(resolution,[status(thm)],[codomain_has_elements,assume_codomain_exists]) ).
cnf(symmetry,axiom,
( X15 != X14
| X14 = X15 ),
theory(equality) ).
cnf(compose_codomain,axiom,
compose(codomain(X18),X18) = X18,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(c15,plain,
X22 = compose(codomain(X22),X22),
inference(resolution,[status(thm)],[compose_codomain,symmetry]) ).
cnf(c4,axiom,
( X25 != X26
| ~ there_exists(X25)
| there_exists(X26) ),
theory(equality) ).
cnf(c22,plain,
( ~ there_exists(X35)
| there_exists(compose(codomain(X35),X35)) ),
inference(resolution,[status(thm)],[c4,c15]) ).
cnf(c43,plain,
there_exists(compose(codomain(a),a)),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(c45,plain,
domain(codomain(a)) = codomain(a),
inference(resolution,[status(thm)],[c43,domain_codomain_composition1]) ).
cnf(c106,plain,
$false,
inference(resolution,[status(thm)],[c45,prove_domain_of_codomain_is_codomain]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT013-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 21:01:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.39/0.56 % Version: 1.5
% 0.39/0.56 % SZS status Unsatisfiable
% 0.39/0.56 % SZS output start CNFRefutation
% See solution above
% 0.39/0.56
% 0.39/0.56 % Initial clauses : 21
% 0.39/0.56 % Processed clauses : 39
% 0.39/0.56 % Factors computed : 2
% 0.39/0.56 % Resolvents computed: 104
% 0.39/0.56 % Tautologies deleted: 3
% 0.39/0.56 % Forward subsumed : 15
% 0.39/0.56 % Backward subsumed : 0
% 0.39/0.56 % -------- CPU Time ---------
% 0.39/0.56 % User time : 0.193 s
% 0.39/0.56 % System time : 0.013 s
% 0.39/0.56 % Total time : 0.206 s
%------------------------------------------------------------------------------