%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET411-6 : 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 : n014.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 12:40:56 PM UTC 2026
% Result : Unsatisfiable 0.17s 1.20s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 18 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(f19,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),element_relation)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation2) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f113,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_can_define_singleton) ).
fof(f122,negated_conjecture,
member(ordered_pair(x,y),singleton_relation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_1) ).
fof(f123,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_2) ).
fof(f126,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f123]) ).
fof(f131,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[],[f126,f4]) ).
fof(f147,plain,
member(ordered_pair(x,y),intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)),
inference(superposition,[],[f122,f113]) ).
fof(f148,plain,
member(ordered_pair(x,y),element_relation),
inference(resolution,[],[f147,f22]) ).
fof(f151,plain,
member(x,y),
inference(resolution,[],[f148,f19]) ).
fof(f152,plain,
$false,
inference(forward_subsumption_resolution,[],[f151,f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET411-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:43:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.17/1.20 % (1352809)Input is clausal, will run a generic CNF schedule.
% 0.17/1.20 % (1352818)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=49196992:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.20 % (1352818)First to succeed.
% 0.17/1.20 % (1352818)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1352809"
% 0.17/1.20 % (1352819)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3608299324:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.20 % (1352815)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1740413596:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.20 % (1352817)lrs+10_1_sil=8000:sp=occurrence:random_seed=2946687796:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.20 % (1352816)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1956645940:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.20 % (1352814)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=2310270985:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.20 % (1352819)Also succeeded, but the first one will report.
% 0.17/1.20 % (1352817)Also succeeded, but the first one will report.
% 0.17/1.20 % (1352820)dis-21_1_sil=8000:lcm=predicate:random_seed=3524695254: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)
% 0.17/1.20 % (1352820)Instruction limit reached!
% 0.17/1.20 % (1352820)------------------------------
% 0.17/1.20 % (1352820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1352820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1352820)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1352820)Termination reason: Instruction limit
% 0.17/1.20 % (1352820)Termination phase: Saturation
% 0.17/1.20 % (1352820)Time elapsed: 0.077 s
% 0.17/1.20 % (1352820)Peak memory usage: 90 MB
% 0.17/1.20 % (1352820)Instructions burned: 118 (million)
% 0.17/1.20 % (1352818)Refutation found. Thanks to Tanya!
% 0.17/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20 % (1352818)------------------------------
% 0.17/1.20 % (1352818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20 % (1352818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20 % (1352818)CaDiCaL version: 2.1.3
% 0.17/1.20 % (1352818)Termination reason: Refutation
% 0.17/1.20 % (1352818)Time elapsed: 0.002 s
% 0.17/1.20 % (1352818)Peak memory usage: 88 MB
% 0.17/1.20 % (1352818)Instructions burned: 2 (million)
% 0.17/1.20 % (1352818)------------------------------
% 0.17/1.20 % (1352818)------------------------------
% 0.17/1.20 % (1352809)Success in time 0.272 s
% 0.17/1.20 % Vampire exiting
%------------------------------------------------------------------------------