%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 2.44s 1.09s
% Output : Refutation 2.44s
% 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 : 11 ( 7 ~; 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f48,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive1) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f101,negated_conjecture,
~ member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).
fof(f105,plain,
member(null_class,omega),
inference(resolution,[],[f48,f51]) ).
fof(f122,plain,
! [X0] :
( ~ member(null_class,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f101]) ).
fof(f123,plain,
! [X0] : ~ member(null_class,X0),
inference(forward_subsumption_resolution,[],[f122,f4]) ).
fof(f129,plain,
$false,
inference(resolution,[],[f123,f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.04/0.36 % CPULimit : 300
% 0.04/0.36 % WCLimit : 300
% 0.04/0.36 % DateTime : Mon Sep 28 00:30:52 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 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
% 2.44/1.09 % (4047453)Input is clausal, will run a generic CNF schedule.
% 2.44/1.09 % (4047463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1253307797:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.44/1.09 % (4047463)First to succeed.
% 2.44/1.09 % (4047463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4047453"
% 2.44/1.09 % (4047461)lrs+10_1_sil=8000:sp=occurrence:random_seed=2894770193:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.44/1.09 % (4047459)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2104176619:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.44/1.09 % (4047460)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1250446743:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.44/1.09 % (4047458)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=2493579518:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.44/1.09 % (4047462)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2364016519:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.44/1.09 % (4047461)Refutation not found, incomplete strategy
% 2.44/1.09 % (4047461)------------------------------
% 2.44/1.09 % (4047461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.09 % (4047461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.09 % (4047461)CaDiCaL version: 2.1.3
% 2.44/1.09 % (4047461)Termination reason: Refutation not found, incomplete strategy
% 2.44/1.09 % (4047461)Time elapsed: 0.001 s
% 2.44/1.09 % (4047461)Peak memory usage: 86 MB
% 2.44/1.09 % (4047464)dis-21_1_sil=8000:lcm=predicate:random_seed=4066725650: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)
% 2.44/1.09 % (4047464)Also succeeded, but the first one will report.
% 2.44/1.09 % (4047462)Instruction limit reached!
% 2.44/1.09 % (4047462)------------------------------
% 2.44/1.09 % (4047462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.09 % (4047462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.09 % (4047462)CaDiCaL version: 2.1.3
% 2.44/1.09 % (4047462)Termination reason: Instruction limit
% 2.44/1.09 % (4047462)Termination phase: Saturation
% 2.44/1.09 % (4047462)Time elapsed: 0.068 s
% 2.44/1.09 % (4047462)Peak memory usage: 89 MB
% 2.44/1.09 % (4047462)Instructions burned: 114 (million)
% 2.44/1.09 % (4047463)Refutation found. Thanks to Tanya!
% 2.44/1.09 % SZS status Unsatisfiable for theBenchmark
% 2.44/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/1.09 % (4047463)------------------------------
% 2.44/1.09 % (4047463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.09 % (4047463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.09 % (4047463)CaDiCaL version: 2.1.3
% 2.44/1.09 % (4047463)Termination reason: Refutation
% 2.44/1.09 % (4047463)Time elapsed: 0.003 s
% 2.44/1.09 % (4047463)Peak memory usage: 88 MB
% 2.44/1.09 % (4047463)Instructions burned: 5 (million)
% 2.44/1.09 % (4047463)------------------------------
% 2.44/1.09 % (4047463)------------------------------
% 2.44/1.09 % (4047453)Success in time 0.293 s
% 2.44/1.09 % Vampire exiting
%------------------------------------------------------------------------------