%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CAT016-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:04:36 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 3 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X ).
cnf(assume_a_exists,hypothesis,
there_exists(a) ).
cnf(prove_domain_of_a_exists,negated_conjecture,
~ there_exists(domain(a)) ).
cnf(refute_0_0,plain,
( ~ there_exists(compose(X_15,domain(X_15)))
| there_exists(domain(X_15)) ),
inference(subst,[],[composition_implies_domain:[bind(X,$fot(X_15)),bind(Y,$fot(domain(X_15)))]]) ).
cnf(refute_0_1,plain,
compose(X_15,domain(X_15)) = X_15,
inference(subst,[],[compose_domain:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_2,plain,
( compose(X_15,domain(X_15)) != X_15
| ~ there_exists(X_15)
| there_exists(compose(X_15,domain(X_15))) ),
introduced(tautology,[equality,[$cnf( ~ there_exists(compose(X_15,domain(X_15))) ),[0],$fot(X_15)]]) ).
cnf(refute_0_3,plain,
( ~ there_exists(X_15)
| there_exists(compose(X_15,domain(X_15))) ),
inference(resolve,[$cnf( $equal(compose(X_15,domain(X_15)),X_15) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ there_exists(X_15)
| there_exists(domain(X_15)) ),
inference(resolve,[$cnf( there_exists(compose(X_15,domain(X_15))) )],[refute_0_3,refute_0_0]) ).
cnf(refute_0_5,plain,
( ~ there_exists(a)
| there_exists(domain(a)) ),
inference(subst,[],[refute_0_4:[bind(X_15,$fot(a))]]) ).
cnf(refute_0_6,plain,
there_exists(domain(a)),
inference(resolve,[$cnf( there_exists(a) )],[assume_a_exists,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( there_exists(domain(a)) )],[refute_0_6,prove_domain_of_a_exists]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT016-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 19:05:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------