%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 : Tue Sep 29 09:36:57 AM UTC 2026
% Result : Unsatisfiable 0.35s 0.43s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 21 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( there_exists(X0)
| ~ equivalent(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',equivalence_implies_existence1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ there_exists(X0)
| X0 != X1
| equivalent(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',existence_and_equality_implies_equivalence1) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
fof(f12,axiom,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_a_exists) ).
fof(f13,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_exists) ).
fof(f14,plain,
! [X1] :
( equivalent(X1,X1)
| ~ there_exists(X1) ),
inference(equality_resolution,[],[f3]) ).
fof(f16,plain,
! [X0,X1] :
( there_exists(X0)
| ~ equivalent(domain(X0),X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f20,plain,
! [X0] : ~ equivalent(domain(codomain(a)),X0),
inference(resolution,[],[f16,f13]) ).
fof(f23,plain,
~ there_exists(domain(codomain(a))),
inference(resolution,[],[f20,f14]) ).
fof(f34,plain,
! [X0] : ~ there_exists(compose(codomain(a),X0)),
inference(resolution,[],[f6,f23]) ).
fof(f39,plain,
~ there_exists(a),
inference(superposition,[],[f34,f11]) ).
fof(f41,plain,
$false,
inference(resolution,[],[f39,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 % Computer : n003.cluster.edu
% 0.26/0.31 % Model : x86_64 x86_64
% 0.26/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31 % Memory : 8046.5625MB
% 0.26/0.31 % OS : Linux 6.8.0-71-generic
% 0.26/0.31 % CPULimit : 300
% 0.26/0.31 % WCLimit : 300
% 0.26/0.31 % DateTime : Mon Sep 28 21:15:28 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.37 Running first-order model finding
% 0.26/0.37 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.43 % (2029561)Will run a generic schedule for satisfiability detection.
% 0.35/0.43 % (2029572)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3265905779:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.43 % (2029572) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2029561-2029572"...
% 0.35/0.43 % (2029572)...printing done.
% 0.35/0.43 % (2029572)Refutation found. Thanks to Tanya!
% 0.35/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.43 % (2029572)------------------------------
% 0.35/0.43 % (2029572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.43 % (2029572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.43 % (2029572)CaDiCaL version: 2.1.3
% 0.35/0.43 % (2029572)Termination reason: Refutation
% 0.35/0.43 % (2029572)Time elapsed: 0.002 s
% 0.35/0.43 % (2029572)Peak memory usage: 11 MB
% 0.35/0.43 % (2029572)Instructions burned: 1 (million)
% 0.35/0.43 % (2029561)Success in time 0.038 s
% 0.35/0.43 % Vampire exiting
%------------------------------------------------------------------------------