%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:36:35 AM UTC 2026
% Result : Unsatisfiable 2.95s 0.93s
% Output : Refutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( there_exists(compose(X0,X1))
| ~ equalish(domain(X0),codomain(X1))
| ~ there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).
fof(f9,axiom,
there_exists(domain(c2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_exists) ).
fof(f11,axiom,
equalish(domain(c2),codomain(c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).
fof(f12,negated_conjecture,
~ there_exists(compose(c2,c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).
fof(f16,plain,
( ~ equalish(domain(c2),codomain(c1))
| ~ there_exists(domain(c2)) ),
inference(resolution,[],[f5,f12]) ).
fof(f17,plain,
~ there_exists(domain(c2)),
inference(forward_subsumption_resolution,[],[f16,f11]) ).
fof(f18,plain,
$false,
inference(forward_subsumption_resolution,[],[f17,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n013.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:12:36 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/0.93 % (1587517)Input is clausal, will run a generic CNF schedule.
% 2.95/0.93 % (1587527)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1408511619:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.95/0.93 % (1587527)First to succeed.
% 2.95/0.93 % (1587527)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1587517"
% 2.95/0.93 % (1587523)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=967382236:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.95/0.93 % (1587526)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4154272325:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.95/0.93 % (1587522)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3101966956:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.95/0.93 % (1587525)lrs+10_1_sil=8000:sp=occurrence:random_seed=1034736741:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.95/0.93 % (1587526)Also succeeded, but the first one will report.
% 2.95/0.93 % (1587525)Also succeeded, but the first one will report.
% 2.95/0.93 % (1587524)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2872046916:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.95/0.93 % (1587528)dis-21_1_sil=8000:lcm=predicate:random_seed=2642769209:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.95/0.93 % (1587528)Also succeeded, but the first one will report.
% 2.95/0.93 % (1587527)Refutation found. Thanks to Tanya!
% 2.95/0.93 % SZS status Unsatisfiable for theBenchmark
% 2.95/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.95/0.93 % (1587527)------------------------------
% 2.95/0.93 % (1587527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/0.93 % (1587527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.93 % (1587527)CaDiCaL version: 2.1.3
% 2.95/0.93 % (1587527)Termination reason: Refutation
% 2.95/0.93 % (1587527)Time elapsed: 0.001 s
% 2.95/0.93 % (1587527)Peak memory usage: 88 MB
% 2.95/0.93 % (1587527)------------------------------
% 2.95/0.93 % (1587527)------------------------------
% 2.95/0.93 % (1587517)Success in time 0.375 s
% 2.95/0.93 % Vampire exiting
%------------------------------------------------------------------------------