%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET093-7 : 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 : 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 12:40:04 PM UTC 2026
% Result : Unsatisfiable 3.31s 1.32s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f132,axiom,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
fof(f151,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).
fof(f152,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f151]) ).
fof(f153,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).
fof(f154,plain,
member(x,universal_class),
inference(superposition,[],[f132,f152]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[],[f154,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 00:42:07 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.39 Running first-order theorem proving
% 0.04/0.39 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
% 3.31/1.32 % (4050342)Input is clausal, will run a generic CNF schedule.
% 3.31/1.32 % (4050347)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=3979638749:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.31/1.32 % (4050350)lrs+10_1_sil=8000:sp=occurrence:random_seed=1459416851:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.31/1.32 % (4050350)First to succeed.
% 3.31/1.32 % (4050350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4050342"
% 3.31/1.32 % (4050352)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3155179636:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.31/1.32 % (4050348)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1615932887:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.31/1.32 % (4050349)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3887729077:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.31/1.32 % (4050352)Also succeeded, but the first one will report.
% 3.31/1.32 % (4050353)dis-21_1_sil=8000:lcm=predicate:random_seed=3977945297: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)
% 3.31/1.32 % (4050351)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1594725367:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.31/1.32 % (4050351)Also succeeded, but the first one will report.
% 3.31/1.32 % (4050353)Instruction limit reached!
% 3.31/1.32 % (4050353)------------------------------
% 3.31/1.32 % (4050353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.32 % (4050353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.32 % (4050353)CaDiCaL version: 2.1.3
% 3.31/1.32 % (4050353)Termination reason: Instruction limit
% 3.31/1.32 % (4050353)Termination phase: Saturation
% 3.31/1.32 % (4050353)Time elapsed: 0.078 s
% 3.31/1.32 % (4050353)Peak memory usage: 89 MB
% 3.31/1.32 % (4050353)Instructions burned: 118 (million)
% 3.31/1.32 % (4050361)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=2950617364:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.31/1.32 % (4050361)Also succeeded, but the first one will report.
% 3.31/1.32 % (4050350)Refutation found. Thanks to Tanya!
% 3.31/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.31/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.31/1.32 % (4050350)------------------------------
% 3.31/1.32 % (4050350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.32 % (4050350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.32 % (4050350)CaDiCaL version: 2.1.3
% 3.31/1.32 % (4050350)Termination reason: Refutation
% 3.31/1.32 % (4050350)Time elapsed: 0.002 s
% 3.31/1.32 % (4050350)Peak memory usage: 88 MB
% 3.31/1.32 % (4050350)Instructions burned: 1 (million)
% 3.31/1.32 % (4050350)------------------------------
% 3.31/1.32 % (4050350)------------------------------
% 3.31/1.32 % (4050342)Success in time 0.401 s
% 3.31/1.32 % Vampire exiting
%------------------------------------------------------------------------------