%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 06:55:37 AM UTC 2026
% Result : Unsatisfiable 9.03s 11.83s
% Output : CNFRefutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 2 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 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 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assume_a_exists,hypothesis,
'there$uexists'(a) ).
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ 'there$uexists'(codomain(a)) ).
cnf(domain_has_elements,axiom,
( 'there$uexists'(X0)
| ~ 'there$uexists'(domain(X0)) ) ).
cnf(composition_implies_domain,axiom,
( 'there$uexists'(domain(X0))
| ~ 'there$uexists'(compose(X0,X1)) ) ).
cnf(compose_codomain,axiom,
compose(codomain(X0),X0) = X0 ).
cnf(c0,plain,
'there$uexists'(a),
inference(clausification,[status(esa)],[assume_a_exists]) ).
cnf(c1,plain,
~ 'there$uexists'(codomain(a)),
inference(clausification,[status(esa)],[prove_codomain_of_a_exists]) ).
cnf(c5,plain,
( 'there$uexists'(X0)
| ~ 'there$uexists'(domain(X0)) ),
inference(clausification,[status(esa)],[domain_has_elements]) ).
cnf(c7,plain,
( 'there$uexists'(domain(X0))
| ~ 'there$uexists'(compose(X0,X1)) ),
inference(clausification,[status(esa)],[composition_implies_domain]) ).
cnf(c12,plain,
compose(codomain(X0),X0) = X0,
inference(clausification,[status(esa)],[compose_codomain]) ).
cnf(d0,plain,
( 'there$uexists'(domain(codomain(X0)))
| ~ 'there$uexists'(X0) ),
inference(superposition,[status(thm)],[c12,c7]) ).
cnf(d1,plain,
( 'there$uexists'(codomain(X0))
| ~ 'there$uexists'(X0) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
~ 'there$uexists'(a),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c0,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/10.52 % Computer : n012.cluster.edu
% 0.04/10.52 % Model : x86_64 x86_64
% 0.04/10.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.52 % Memory : 8046.5625MB
% 0.04/10.52 % OS : Linux 6.8.0-71-generic
% 0.04/10.52 % CPULimit : 300
% 0.04/10.52 % WCLimit : 300
% 0.04/10.52 % DateTime : Sat Sep 26 22:50:03 UTC 2026
% 0.04/10.53 % CPUTime :
% 0.04/10.53 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.03/11.83 % SZS status Unsatisfiable for theBenchmark.p
% 9.03/11.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------