%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:16:57 EDT 2024
% Result : Unsatisfiable 0.75s 0.95s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 17 unt; 0 nHn; 26 RR)
% Number of literals : 41 ( 23 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_of_a_is_d,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
cnf(symmetry,axiom,
( X12 != X13
| X13 = X12 ),
theory(equality) ).
cnf(ad_exists,plain,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X17,X18))
| domain(X17) = codomain(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
cnf(c14,plain,
domain(a) = codomain(d),
inference(resolution,[status(thm)],[domain_codomain_composition1,ad_exists]) ).
cnf(c35,plain,
codomain(d) = domain(a),
inference(resolution,[status(thm)],[c14,symmetry]) ).
cnf(transitivity,axiom,
( X39 != X40
| X40 != X38
| X39 = X38 ),
theory(equality) ).
cnf(c73,plain,
( X107 != codomain(d)
| X107 = domain(a) ),
inference(resolution,[status(thm)],[transitivity,c35]) ).
cnf(compose_codomain,axiom,
compose(codomain(X20),X20) = X20,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(c78,plain,
( X82 != compose(codomain(X83),X83)
| X82 = X83 ),
inference(resolution,[status(thm)],[transitivity,compose_codomain]) ).
cnf(xd_equals_x,plain,
( ~ there_exists(compose(X34,d))
| compose(X34,d) = X34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
cnf(c17,plain,
X22 = compose(codomain(X22),X22),
inference(resolution,[status(thm)],[compose_codomain,symmetry]) ).
cnf(c4,axiom,
( X27 != X28
| ~ there_exists(X27)
| there_exists(X28) ),
theory(equality) ).
cnf(c26,plain,
( ~ there_exists(X37)
| there_exists(compose(codomain(X37),X37)) ),
inference(resolution,[status(thm)],[c4,c17]) ).
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X8))
| there_exists(X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',codomain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X15,X16))
| there_exists(domain(X15)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(c8,plain,
there_exists(domain(a)),
inference(resolution,[status(thm)],[composition_implies_domain,ad_exists]) ).
cnf(c34,plain,
( ~ there_exists(domain(a))
| there_exists(codomain(d)) ),
inference(resolution,[status(thm)],[c14,c4]) ).
cnf(c120,plain,
there_exists(codomain(d)),
inference(resolution,[status(thm)],[c34,c8]) ).
cnf(c123,plain,
there_exists(d),
inference(resolution,[status(thm)],[c120,codomain_has_elements]) ).
cnf(c141,plain,
there_exists(compose(codomain(d),d)),
inference(resolution,[status(thm)],[c123,c26]) ).
cnf(c154,plain,
compose(codomain(d),d) = codomain(d),
inference(resolution,[status(thm)],[c141,xd_equals_x]) ).
cnf(c931,plain,
codomain(d) = compose(codomain(d),d),
inference(resolution,[status(thm)],[c154,symmetry]) ).
cnf(c1372,plain,
codomain(d) = d,
inference(resolution,[status(thm)],[c931,c78]) ).
cnf(c1389,plain,
d = codomain(d),
inference(resolution,[status(thm)],[c1372,symmetry]) ).
cnf(c1407,plain,
d = domain(a),
inference(resolution,[status(thm)],[c1389,c73]) ).
cnf(c1427,plain,
domain(a) = d,
inference(resolution,[status(thm)],[c1407,symmetry]) ).
cnf(c1504,plain,
$false,
inference(resolution,[status(thm)],[c1427,prove_domain_of_a_is_d]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 21:00:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.75/0.95 % Version: 1.5
% 0.75/0.95 % SZS status Unsatisfiable
% 0.75/0.95 % SZS output start CNFRefutation
% See solution above
% 0.75/0.95
% 0.75/0.95 % Initial clauses : 23
% 0.75/0.95 % Processed clauses : 203
% 0.75/0.95 % Factors computed : 4
% 0.75/0.95 % Resolvents computed: 1510
% 0.75/0.95 % Tautologies deleted: 3
% 0.75/0.95 % Forward subsumed : 181
% 0.75/0.95 % Backward subsumed : 5
% 0.75/0.95 % -------- CPU Time ---------
% 0.75/0.95 % User time : 0.590 s
% 0.75/0.95 % System time : 0.011 s
% 0.75/0.95 % Total time : 0.601 s
%------------------------------------------------------------------------------