%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT017-4 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 : Tue May 5 04:11:43 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.84s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 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 : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composition_implies_domain,axiom,
( there_exists(domain(X1))
| ~ there_exists(compose(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(compose_codomain,axiom,
compose(codomain(X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(assume_a_exists,hypothesis,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_a_exists) ).
cnf(domain_has_elements,axiom,
( there_exists(X1)
| ~ there_exists(domain(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_exists) ).
cnf(c_0_5,axiom,
( there_exists(domain(X1))
| ~ there_exists(compose(X1,X2)) ),
composition_implies_domain ).
cnf(c_0_6,axiom,
compose(codomain(X1),X1) = X1,
compose_codomain ).
cnf(c_0_7,plain,
( there_exists(domain(codomain(X1)))
| ~ there_exists(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
there_exists(a),
assume_a_exists ).
cnf(c_0_9,axiom,
( there_exists(X1)
| ~ there_exists(domain(X1)) ),
domain_has_elements ).
cnf(c_0_10,hypothesis,
there_exists(domain(codomain(a))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ there_exists(codomain(a)),
prove_codomain_of_a_exists ).
cnf(c_0_12,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22 % Problem : CAT017-4 : TPTP v9.2.1. Released v1.0.0.
% 0.03/0.22 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.43 % Computer : n019.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8042.1875MB
% 0.13/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Tue May 5 10:49:14 EDT 2026
% 0.13/0.44 % CPUTime :
% 0.14/0.46 % start to proof: theBenchmark
% 1.12/1.84 % Version : CSE_E---1.7
% 1.12/1.84 % Problem : theBenchmark.p
% 1.12/1.84 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.84 % SZS output start CNFRefutation
% See solution above
% 1.12/1.84 % Total time : 1.380s
%------------------------------------------------------------------------------