%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT011-2 : 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 06:55:35 AM UTC 2026
% Result : Unsatisfiable 12.47s 12.26s
% Output : CNFRefutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_is_idempotent,negated_conjecture,
domain(domain(a)) != domain(a) ).
cnf(codomain_of_domain_is_domain,axiom,
codomain(domain(X0)) = domain(X0) ).
cnf(domain_of_codomain_is_codomain,axiom,
domain(codomain(X0)) = codomain(X0) ).
cnf(c0,plain,
domain(domain(a)) != domain(a),
inference(clausification,[status(esa)],[prove_domain_is_idempotent]) ).
cnf(c1,plain,
codomain(domain(X0)) = domain(X0),
inference(clausification,[status(esa)],[codomain_of_domain_is_domain]) ).
cnf(c2,plain,
domain(codomain(X0)) = codomain(X0),
inference(clausification,[status(esa)],[domain_of_codomain_is_codomain]) ).
cnf(d0,plain,
domain(domain(X0)) = codomain(domain(X0)),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
domain(domain(X0)) = domain(X0),
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.40 % Computer : n014.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Sat Sep 26 22:49:13 UTC 2026
% 0.13/10.40 % CPUTime :
% 0.13/10.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.47/12.26 % SZS status Unsatisfiable for theBenchmark.p
% 12.47/12.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------