%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET084-7 : 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 : n011.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 12:40:01 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.46s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,axiom,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).
fof(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f139,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
fof(f140,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
fof(f141,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
fof(f143,plain,
( member(y,singleton(x))
| ~ member(y,universal_class) ),
inference(superposition,[],[f134,f139]) ).
fof(f144,plain,
member(y,singleton(x)),
inference(forward_subsumption_resolution,[],[f143,f140]) ).
fof(f147,plain,
x = y,
inference(resolution,[],[f144,f137]) ).
fof(f148,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET084-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:35:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.51/1.46 % (2911933)Input is clausal, will run a generic CNF schedule.
% 3.51/1.46 % (2911940)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2746752269:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.46 % (2911938)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=4150484682:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.46 % (2911943)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4128631086:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.46 % (2911939)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=458646926:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.46 % (2911944)dis-21_1_sil=8000:lcm=predicate:random_seed=530661190: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)
% 3.51/1.46 % (2911942)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3783782971:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.46 % (2911941)lrs+10_1_sil=8000:sp=occurrence:random_seed=4057867007:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.46 % (2911941)First to succeed.
% 3.51/1.46 % (2911941)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2911933"
% 3.51/1.46 % (2911943)Also succeeded, but the first one will report.
% 3.51/1.46 % (2911942)Also succeeded, but the first one will report.
% 3.51/1.46 % (2911944)Instruction limit reached!
% 3.51/1.46 % (2911944)------------------------------
% 3.51/1.46 % (2911944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (2911944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (2911944)CaDiCaL version: 2.1.3
% 3.51/1.46 % (2911944)Termination reason: Instruction limit
% 3.51/1.46 % (2911944)Termination phase: Saturation
% 3.51/1.46 % (2911944)Time elapsed: 0.077 s
% 3.51/1.46 % (2911944)Peak memory usage: 89 MB
% 3.51/1.46 % (2911944)Instructions burned: 117 (million)
% 3.51/1.46 % (2911952)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=772889544:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.51/1.46 % (2911952)Also succeeded, but the first one will report.
% 3.51/1.46 % (2911941)Refutation found. Thanks to Tanya!
% 3.51/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.46 % (2911941)------------------------------
% 3.51/1.46 % (2911941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (2911941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (2911941)CaDiCaL version: 2.1.3
% 3.51/1.46 % (2911941)Termination reason: Refutation
% 3.51/1.46 % (2911941)Time elapsed: 0.002 s
% 3.51/1.46 % (2911941)Peak memory usage: 88 MB
% 3.51/1.46 % (2911941)Instructions burned: 1 (million)
% 3.51/1.46 % (2911941)------------------------------
% 3.51/1.46 % (2911941)------------------------------
% 3.51/1.46 % (2911933)Success in time 0.412 s
% 3.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------