%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT007-3 : 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 06:55:34 AM UTC 2026
% Result : Unsatisfiable 8.98s 2.80s
% Output : CNFRefutation 8.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_codomain_composition2,axiom,
( 'there$uexists'(compose(X0,X1))
| ~ equalish(domain(X0),codomain(X1))
| ~ 'there$uexists'(domain(X0)) ) ).
cnf(domain_of_c2_exists,hypothesis,
'there$uexists'(domain(c2)) ).
cnf(domain_of_c2_equals_codomain_of_c1,hypothesis,
equalish(domain(c2),codomain(c1)) ).
cnf(prove_c1_c2_is_defined,negated_conjecture,
~ 'there$uexists'(compose(c2,c1)) ).
cnf(c4,plain,
( 'there$uexists'(compose(X0,X1))
| ~ equalish(domain(X0),codomain(X1))
| ~ 'there$uexists'(domain(X0)) ),
inference(clausification,[status(esa)],[domain_codomain_composition2]) ).
cnf(c8,plain,
'there$uexists'(domain(c2)),
inference(clausification,[status(esa)],[domain_of_c2_exists]) ).
cnf(c10,plain,
equalish(domain(c2),codomain(c1)),
inference(clausification,[status(esa)],[domain_of_c2_equals_codomain_of_c1]) ).
cnf(c11,plain,
~ 'there$uexists'(compose(c2,c1)),
inference(clausification,[status(esa)],[prove_c1_c2_is_defined]) ).
cnf(d0,plain,
( 'there$uexists'(compose(c2,c1))
| ~ 'there$uexists'(domain(c2)) ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d1,plain,
'there$uexists'(compose(c2,c1)),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c11,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 26 22:48:34 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.98/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 8.98/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------