%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : CAT016-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 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 : Thu Sep 24 08:14:10 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 30 ( 8 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_and_equality_implies_equivalence1,axiom,
( equivalent(X,Y)
| X != Y
| ~ there_exists(X) ),
file('CAT003-0.ax',existence_and_equality_implies_equivalence1) ).
cnf(composition_implies_domain,axiom,
( there_exists(domain(X))
| ~ there_exists(compose(X,Y)) ),
file('CAT003-0.ax',composition_implies_domain) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('CAT003-0.ax',compose_domain) ).
cnf(equivalence_implies_existence3,axiom,
( there_exists(Y)
| ~ equivalent(X,Y) ),
file('CAT003-0.ax',equivalence_implies_existence3) ).
cnf(assume_a_exists,hypothesis,
there_exists(a),
file('theBenchmark.p',assume_a_exists) ).
cnf(prove_domain_of_a_exists,negated_conjecture,
~ there_exists(domain(a)),
file('theBenchmark.p',prove_domain_of_a_exists) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(t1,plain,
~ there_exists(domain(a)),
inference(start,[status(thm),parent(0:0)],[prove_domain_of_a_exists]) ).
cnf(t2,plain,
( ~ there_exists(compose(a,domain(a)))
| there_exists(domain(a)) ),
inference(extension,[status(thm),parent(t1:1)],[composition_implies_domain]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ equivalent(a,compose(a,domain(a)))
| there_exists(compose(a,domain(a))) ),
inference(extension,[status(thm),parent(t2:2)],[equivalence_implies_existence3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( a != compose(a,domain(a))
| ~ there_exists(a)
| equivalent(a,compose(a,domain(a))) ),
inference(extension,[status(thm),parent(t4:2)],[existence_and_equality_implies_equivalence1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
there_exists(a),
inference(extension,[status(thm),parent(t6:2)],[assume_a_exists]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( compose(a,domain(a)) != a
| a = compose(a,domain(a)) ),
inference(extension,[status(thm),parent(t6:3)],[equality_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
compose(a,domain(a)) = a,
inference(extension,[status(thm),parent(t10:2)],[compose_domain]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT016-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 14:11:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------