%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT016-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:36:38 AM UTC 2026
% Result : Unsatisfiable 3.46s 1.05s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
fof(f12,axiom,
there_exists(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_a_exists) ).
fof(f13,negated_conjecture,
~ there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_exists) ).
fof(f17,plain,
! [X0] :
( there_exists(domain(X0))
| ~ there_exists(X0) ),
inference(superposition,[],[f6,f10]) ).
fof(f19,plain,
~ there_exists(a),
inference(resolution,[],[f17,f13]) ).
fof(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT016-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 21:17:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/1.05 % (3029589)Input is clausal, will run a generic CNF schedule.
% 3.46/1.05 % (3029634)dis-21_1_sil=8000:lcm=predicate:random_seed=2731383628:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 3.46/1.05 % (3029634)Refutation not found, incomplete strategy
% 3.46/1.05 % (3029634)------------------------------
% 3.46/1.05 % (3029634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.05 % (3029634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.05 % (3029634)CaDiCaL version: 2.1.3
% 3.46/1.05 % (3029634)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.05 % (3029634)Time elapsed: 0.001 s
% 3.46/1.05 % (3029634)Peak memory usage: 88 MB
% 3.46/1.05 % (3029634)Instructions burned: 1 (million)
% 3.46/1.05 % (3029630)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=202666570:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 3.46/1.05 % (3029633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2131452314:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 3.46/1.05 % (3029628)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=4074764869:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 3.46/1.05 % (3029629)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1312179188:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 3.46/1.05 % (3029632)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2989191696:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 3.46/1.05 % (3029631)lrs+10_1_sil=8000:sp=occurrence:random_seed=667430118:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 3.46/1.05 % (3029633)Also succeeded, but the first one will report.
% 3.46/1.05 % (3029631)First to succeed.
% 3.46/1.05 % (3029631)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3029589"
% 3.46/1.05 % (3029632)Also succeeded, but the first one will report.
% 3.46/1.05 % (3029634)------------------------------
% 3.46/1.05 % (3029634)------------------------------
% 3.46/1.05 % (3029647)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3887563121:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.46/1.05 % (3029647)Also succeeded, but the first one will report.
% 3.46/1.05 % (3029631)Refutation found. Thanks to Tanya!
% 3.46/1.05 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.05 % (3029631)------------------------------
% 3.46/1.05 % (3029631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.05 % (3029631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.05 % (3029631)CaDiCaL version: 2.1.3
% 3.46/1.05 % (3029631)Termination reason: Refutation
% 3.46/1.05 % (3029631)Time elapsed: 0.002 s
% 3.46/1.05 % (3029631)Peak memory usage: 88 MB
% 3.46/1.05 % (3029631)Instructions burned: 1 (million)
% 3.46/1.05 % (3029631)------------------------------
% 3.46/1.05 % (3029631)------------------------------
% 3.46/1.05 % (3029589)Success in time 0.418 s
% 3.46/1.05 % Vampire exiting
%------------------------------------------------------------------------------