%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT007-1 : 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 : 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 : Tue Sep 29 09:36:53 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 17 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] :
( ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f19,axiom,
domain(a) = codomain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_a_equals_codomain_of_b) ).
fof(f20,negated_conjecture,
~ defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ab_is_defined) ).
fof(f34,plain,
defined(domain(a),b),
inference(superposition,[],[f13,f19]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ defined(domain(X0),X1)
| ~ defined(X2,domain(X0))
| defined(X2,X1) ),
inference(resolution,[],[f9,f10]) ).
fof(f166,plain,
! [X0] :
( ~ defined(X0,domain(a))
| defined(X0,b) ),
inference(resolution,[],[f57,f34]) ).
fof(f394,plain,
defined(a,b),
inference(resolution,[],[f166,f12]) ).
fof(f404,plain,
$false,
inference(forward_subsumption_resolution,[],[f394,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:15:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (3795478)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3795484)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3795484)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=412475512:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (3795484) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3795478-3795484"...
% 0.08/0.25 % (3795483)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2185427221_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (3795486)dis+10_1_sil=32000:sp=arity:random_seed=4023603686:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (3795485)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3928986017:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (3795484)...printing done.
% 0.08/0.25 % (3795488)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2395166543:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (3795487)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3173165336:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (3795489)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3490214533:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (3795484)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3795484)------------------------------
% 0.08/0.25 % (3795484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3795484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3795484)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3795484)Termination reason: Refutation
% 0.08/0.26 % (3795484)Time elapsed: 0.007 s
% 0.08/0.26 % (3795484)Peak memory usage: 11 MB
% 0.08/0.26 % (3795484)Instructions burned: 17 (million)
% 0.08/0.26 % (3795478)Success in time 0.023 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------