%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT007-1 : 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 : n018.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 17.58s 2.73s
% Output : CNFRefutation 17.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 26 ( 2 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_of_a_equals_codomain_of_b,hypothesis,
domain(a) = codomain(b) ).
cnf(prove_ab_is_defined,negated_conjecture,
~ defined(a,b) ).
cnf(category_theory_axiom6,axiom,
( defined(X0,X2)
| ~ 'identity$umap'(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ) ).
cnf(domain_is_an_identity_map,axiom,
'identity$umap'(domain(X0)) ).
cnf(mapping_from_x_to_its_domain,axiom,
defined(X0,domain(X0)) ).
cnf(mapping_from_codomain_of_x_to_x,axiom,
defined(codomain(X0),X0) ).
cnf(c0,plain,
domain(a) = codomain(b),
inference(clausification,[status(esa)],[domain_of_a_equals_codomain_of_b]) ).
cnf(c1,plain,
~ defined(a,b),
inference(clausification,[status(esa)],[prove_ab_is_defined]) ).
cnf(c10,plain,
( defined(X0,X2)
| ~ 'identity$umap'(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(clausification,[status(esa)],[category_theory_axiom6]) ).
cnf(c11,plain,
'identity$umap'(domain(X0)),
inference(clausification,[status(esa)],[domain_is_an_identity_map]) ).
cnf(c13,plain,
defined(X0,domain(X0)),
inference(clausification,[status(esa)],[mapping_from_x_to_its_domain]) ).
cnf(c14,plain,
defined(codomain(X0),X0),
inference(clausification,[status(esa)],[mapping_from_codomain_of_x_to_x]) ).
cnf(d0,plain,
defined(domain(a),b),
inference(superposition,[status(thm)],[c0,c14]) ).
cnf(d1,plain,
( ~ 'identity$umap'(domain(a))
| ~ defined(X0,domain(a))
| defined(X0,b) ),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
( defined(X0,b)
| ~ defined(X0,domain(a)) ),
inference(resolution,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
defined(a,b),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n018.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 22:50:52 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.58/2.73 % SZS status Unsatisfiable for theBenchmark.p
% 17.58/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------