%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT013-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:55:36 AM UTC 2026
% Result : Unsatisfiable 9.92s 11.74s
% Output : CNFRefutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 8 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 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assume_codomain_exists,hypothesis,
'there$uexists'(codomain(a)) ).
cnf(prove_domain_of_codomain_is_codomain,negated_conjecture,
domain(codomain(a)) != codomain(a) ).
cnf(codomain_has_elements,axiom,
( 'there$uexists'(X0)
| ~ 'there$uexists'(codomain(X0)) ) ).
cnf(domain_codomain_composition1,axiom,
( domain(X0) = codomain(X1)
| ~ 'there$uexists'(compose(X0,X1)) ) ).
cnf(compose_codomain,axiom,
compose(codomain(X0),X0) = X0 ).
cnf(c0,plain,
'there$uexists'(codomain(a)),
inference(clausification,[status(esa)],[assume_codomain_exists]) ).
cnf(c1,plain,
domain(codomain(a)) != codomain(a),
inference(clausification,[status(esa)],[prove_domain_of_codomain_is_codomain]) ).
cnf(c6,plain,
( 'there$uexists'(X0)
| ~ 'there$uexists'(codomain(X0)) ),
inference(clausification,[status(esa)],[codomain_has_elements]) ).
cnf(c8,plain,
( domain(X0) = codomain(X1)
| ~ 'there$uexists'(compose(X0,X1)) ),
inference(clausification,[status(esa)],[domain_codomain_composition1]) ).
cnf(c12,plain,
compose(codomain(X0),X0) = X0,
inference(clausification,[status(esa)],[compose_codomain]) ).
cnf(d0,plain,
'there$uexists'(a),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
( domain(codomain(X0)) = codomain(X0)
| ~ 'there$uexists'(X0) ),
inference(superposition,[status(thm)],[c12,c8]) ).
cnf(d2,plain,
domain(codomain(a)) = codomain(a),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT013-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/10.44 % Computer : n014.cluster.edu
% 0.17/10.44 % Model : x86_64 x86_64
% 0.17/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.44 % Memory : 8046.5625MB
% 0.17/10.44 % OS : Linux 6.8.0-71-generic
% 0.17/10.44 % CPULimit : 300
% 0.17/10.44 % WCLimit : 300
% 0.17/10.44 % DateTime : Sat Sep 26 22:49:45 UTC 2026
% 0.17/10.45 % CPUTime :
% 0.17/10.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.92/11.74 % SZS status Unsatisfiable for theBenchmark.p
% 9.92/11.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------