%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP002-2 : 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 : n020.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 02:33:48 PM UTC 2026
% Result : Unsatisfiable 3.74s 1.32s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f2,axiom,
! [X0] : ~ element_of_set(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_6) ).
fof(f3,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1b_2) ).
fof(f4,plain,
! [X0] : element_of_collection(empty_set,top_of_basis(X0)),
inference(resolution,[],[f1,f2]) ).
fof(f5,plain,
$false,
inference(resolution,[],[f4,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 18:49:04 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 3.74/1.32 % (422592)Input is clausal, will run a generic CNF schedule.
% 3.74/1.32 % (422601)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3499455818:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.74/1.32 % (422601)Refutation not found, incomplete strategy
% 3.74/1.32 % (422601)------------------------------
% 3.74/1.32 % (422601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.32 % (422601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.32 % (422601)CaDiCaL version: 2.1.3
% 3.74/1.32 % (422601)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.32 % (422601)Time elapsed: 0.0000 s
% 3.74/1.32 % (422601)Peak memory usage: 86 MB
% 3.74/1.32 % (422598)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2686259207:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.74/1.32 % (422599)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2273785837:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.74/1.32 % (422600)lrs+10_1_sil=8000:sp=occurrence:random_seed=3287770854:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.74/1.32 % (422597)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=2728819445:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.74/1.32 % (422603)dis-21_1_sil=8000:lcm=predicate:random_seed=3288593862: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)
% 3.74/1.32 % (422602)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=789456000:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.74/1.32 % (422600)Also succeeded, but the first one will report.
% 3.74/1.32 % (422603)First to succeed.
% 3.74/1.32 % (422602)Also succeeded, but the first one will report.
% 3.74/1.32 % (422603)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-422592"
% 3.74/1.32 % (422601)------------------------------
% 3.74/1.32 % (422601)------------------------------
% 3.74/1.32 % (422611)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=1148387496:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.74/1.32 % (422611)Refutation not found, incomplete strategy
% 3.74/1.32 % (422611)------------------------------
% 3.74/1.32 % (422611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.32 % (422611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.32 % (422611)CaDiCaL version: 2.1.3
% 3.74/1.32 % (422611)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.32 % (422611)Time elapsed: 0.0000 s
% 3.74/1.32 % (422611)Peak memory usage: 87 MB
% 3.74/1.32 % (422603)Refutation found. Thanks to Tanya!
% 3.74/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.74/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.32 % (422603)------------------------------
% 3.74/1.32 % (422603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.32 % (422603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.32 % (422603)CaDiCaL version: 2.1.3
% 3.74/1.32 % (422603)Termination reason: Refutation
% 3.74/1.32 % (422603)Time elapsed: 0.001 s
% 3.74/1.32 % (422603)Peak memory usage: 87 MB
% 3.74/1.32 % (422603)------------------------------
% 3.74/1.32 % (422603)------------------------------
% 3.74/1.32 % (422592)Success in time 0.431 s
% 3.74/1.32 % Vampire exiting
%------------------------------------------------------------------------------