%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET065-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:39:54 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.48s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f48,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f119,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).
fof(f194,plain,
member(null_class,omega),
inference(resolution,[],[f48,f51]) ).
fof(f196,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f205,plain,
! [X0] : ~ member(null_class,X0),
inference(resolution,[],[f196,f119]) ).
fof(f208,plain,
$false,
inference(resolution,[],[f205,f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET065-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:29:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.64/1.48 % (1077496)Input is clausal, will run a generic CNF schedule.
% 3.64/1.48 % (1077503)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=993366708:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.48 % (1077504)lrs+10_1_sil=8000:sp=occurrence:random_seed=1885623873:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.48 % (1077505)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4166184313:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.48 % (1077507)dis-21_1_sil=8000:lcm=predicate:random_seed=2780897663: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)
% 3.64/1.48 % (1077502)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2494251695:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.48 % (1077501)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=2488641286:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.48 % (1077506)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1981146094:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.48 % (1077504)Refutation not found, incomplete strategy
% 3.64/1.48 % (1077504)------------------------------
% 3.64/1.48 % (1077504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (1077504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (1077504)CaDiCaL version: 2.1.3
% 3.64/1.48 % (1077504)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.48 % (1077504)Time elapsed: 0.002 s
% 3.64/1.48 % (1077504)Peak memory usage: 87 MB
% 3.64/1.48 % (1077504)Instructions burned: 1 (million)
% 3.64/1.48 % (1077507)First to succeed.
% 3.64/1.48 % (1077507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1077496"
% 3.64/1.48 % (1077506)Also succeeded, but the first one will report.
% 3.64/1.48 % (1077505)Instruction limit reached!
% 3.64/1.48 % (1077505)------------------------------
% 3.64/1.48 % (1077505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (1077505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (1077505)CaDiCaL version: 2.1.3
% 3.64/1.48 % (1077505)Termination reason: Instruction limit
% 3.64/1.48 % (1077505)Termination phase: Saturation
% 3.64/1.48 % (1077505)Time elapsed: 0.058 s
% 3.64/1.48 % (1077505)Peak memory usage: 88 MB
% 3.64/1.48 % (1077505)Instructions burned: 116 (million)
% 3.64/1.48 % (1077515)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=3988785983:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.64/1.48 % (1077515)Refutation not found, incomplete strategy
% 3.64/1.48 % (1077515)------------------------------
% 3.64/1.48 % (1077515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (1077515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (1077515)CaDiCaL version: 2.1.3
% 3.64/1.48 % (1077515)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.48 % (1077515)Time elapsed: 0.003 s
% 3.64/1.48 % (1077515)Peak memory usage: 88 MB
% 3.64/1.48 % (1077515)Instructions burned: 3 (million)
% 3.64/1.48 % (1077504)------------------------------
% 3.64/1.48 % (1077504)------------------------------
% 3.64/1.48 % (1077507)Refutation found. Thanks to Tanya!
% 3.64/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.48 % (1077507)------------------------------
% 3.64/1.48 % (1077507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (1077507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (1077507)CaDiCaL version: 2.1.3
% 3.64/1.48 % (1077507)Termination reason: Refutation
% 3.64/1.48 % (1077507)Time elapsed: 0.004 s
% 3.64/1.48 % (1077507)Peak memory usage: 88 MB
% 3.64/1.48 % (1077507)Instructions burned: 6 (million)
% 3.64/1.48 % (1077507)------------------------------
% 3.64/1.48 % (1077507)------------------------------
% 3.64/1.48 % (1077496)Success in time 0.435 s
% 3.64/1.48 % Vampire exiting
%------------------------------------------------------------------------------