%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT012-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:36:55 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.30s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 19 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
fof(f12,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f13,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
fof(f14,plain,
domain(a) != codomain(domain(a)),
inference(reorient_equations,[],[f13]) ).
fof(f18,plain,
! [X0] :
( there_exists(domain(X0))
| ~ there_exists(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f21,plain,
! [X0,X1] :
( there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f23,plain,
~ there_exists(domain(a)),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f25,plain,
~ there_exists(a),
inference(resolution,[],[f18,f23]) ).
fof(f43,plain,
! [X0] :
( there_exists(X0)
| domain(X0) = codomain(domain(X0)) ),
inference(superposition,[],[f21,f10]) ).
fof(f48,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[],[f43,f25]) ).
fof(f50,plain,
domain(a) != domain(a),
inference(superposition,[],[f14,f48]) ).
fof(f56,plain,
$false,
inference(trivial_inequality_removal,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT012-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n017.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 21:08:52 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26 Running first-order model finding
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30 % (4034458)Will run a generic schedule for satisfiability detection.
% 0.08/0.30 % (4034469)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1087963485:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.30 % (4034469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4034458-4034469"...
% 0.08/0.30 % (4034468)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2844760975:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.30 % (4034469)...printing done.
% 0.08/0.30 % (4034469)Refutation found. Thanks to Tanya!
% 0.08/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.30 % (4034469)------------------------------
% 0.08/0.30 % (4034469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.30 % (4034469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.30 % (4034469)CaDiCaL version: 2.1.3
% 0.08/0.30 % (4034469)Termination reason: Refutation
% 0.08/0.30 % (4034469)Time elapsed: 0.002 s
% 0.08/0.30 % (4034469)Peak memory usage: 11 MB
% 0.08/0.30 % (4034469)Instructions burned: 1 (million)
% 0.08/0.30 % (4034458)Success in time 0.025 s
% 0.08/0.30 % Vampire exiting
%------------------------------------------------------------------------------