%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT005-3 : 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 : n016.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 06:55:33 AM UTC 2026
% Result : Unsatisfiable 17.55s 2.70s
% Output : CNFRefutation 17.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 36 ( 14 equ; 15 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ad_exists,hypothesis,
'there$uexists'(compose(a,d)) ).
cnf(xd_equals_x,hypothesis,
( compose(X0,d) = X0
| ~ 'there$uexists'(compose(X0,d)) ) ).
cnf(prove_domain_of_a_is_d,negated_conjecture,
domain(a) != d ).
cnf(codomain_has_elements,axiom,
( 'there$uexists'(X0)
| ~ 'there$uexists'(codomain(X0)) ) ).
cnf(composition_implies_domain,axiom,
( 'there$uexists'(domain(X0))
| ~ 'there$uexists'(compose(X0,X1)) ) ).
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'(compose(a,d)),
inference(clausification,[status(esa)],[ad_exists]) ).
cnf(c1,plain,
( compose(X0,d) = X0
| ~ 'there$uexists'(compose(X0,d)) ),
inference(clausification,[status(esa)],[xd_equals_x]) ).
cnf(c3,plain,
domain(a) != d,
inference(clausification,[status(esa)],[prove_domain_of_a_is_d]) ).
cnf(c8,plain,
( 'there$uexists'(X0)
| ~ 'there$uexists'(codomain(X0)) ),
inference(clausification,[status(esa)],[codomain_has_elements]) ).
cnf(c9,plain,
( 'there$uexists'(domain(X0))
| ~ 'there$uexists'(compose(X0,X1)) ),
inference(clausification,[status(esa)],[composition_implies_domain]) ).
cnf(c10,plain,
( domain(X0) = codomain(X1)
| ~ 'there$uexists'(compose(X0,X1)) ),
inference(clausification,[status(esa)],[domain_codomain_composition1]) ).
cnf(c14,plain,
compose(codomain(X0),X0) = X0,
inference(clausification,[status(esa)],[compose_codomain]) ).
cnf(d0,plain,
domain(a) = codomain(d),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(d1,plain,
( compose(codomain(d),d) = codomain(d)
| ~ 'there$uexists'(d) ),
inference(superposition,[status(thm)],[c14,c1]) ).
cnf(d2,plain,
( ~ 'there$uexists'(d)
| d = codomain(d) ),
inference(demodulation,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
( ~ 'there$uexists'(d)
| d = domain(a) ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'there$uexists'(d)
| ~ 'there$uexists'(domain(a)) ),
inference(superposition,[status(thm)],[d0,c8]) ).
cnf(d5,plain,
'there$uexists'(domain(a)),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d6,plain,
'there$uexists'(d),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
d = domain(a),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
d != d,
inference(demodulation,[status(thm)],[c3,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 22:53:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.55/2.70 % SZS status Unsatisfiable for theBenchmark.p
% 17.55/2.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------