%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET094-7 : 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 : 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 12:40:04 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.44s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f152,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).
fof(f153,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).
fof(f155,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).
fof(f168,plain,
! [X0] :
( ~ member(X0,x)
| member_of(x) = X0 ),
inference(superposition,[],[f137,f153]) ).
fof(f169,plain,
member_of(x) = y,
inference(resolution,[],[f168,f154]) ).
fof(f170,plain,
$false,
inference(forward_subsumption_resolution,[],[f169,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % 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 00:39:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.47/1.44 % (1320942)Input is clausal, will run a generic CNF schedule.
% 3.47/1.44 % (1320948)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1165798154:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.44 % (1320950)lrs+10_1_sil=8000:sp=occurrence:random_seed=70369733:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.44 % (1320951)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1019643041:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.44 % (1320949)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=620412199:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.44 % (1320953)dis-21_1_sil=8000:lcm=predicate:random_seed=3038334689: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)
% 3.47/1.44 % (1320947)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=3838541812:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.44 % (1320950)First to succeed.
% 3.47/1.44 % (1320950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1320942"
% 3.47/1.44 % (1320952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2925778721:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.44 % (1320951)Also succeeded, but the first one will report.
% 3.47/1.44 % (1320952)Also succeeded, but the first one will report.
% 3.47/1.44 % (1320953)Instruction limit reached!
% 3.47/1.44 % (1320953)------------------------------
% 3.47/1.44 % (1320953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1320953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1320953)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1320953)Termination reason: Instruction limit
% 3.47/1.44 % (1320953)Termination phase: Saturation
% 3.47/1.44 % (1320953)Time elapsed: 0.076 s
% 3.47/1.44 % (1320953)Peak memory usage: 88 MB
% 3.47/1.44 % (1320953)Instructions burned: 117 (million)
% 3.47/1.44 % (1320961)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=3252985480:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.44 % (1320961)Also succeeded, but the first one will report.
% 3.47/1.44 % (1320950)Refutation found. Thanks to Tanya!
% 3.47/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.44 % (1320950)------------------------------
% 3.47/1.44 % (1320950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1320950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1320950)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1320950)Termination reason: Refutation
% 3.47/1.44 % (1320950)Time elapsed: 0.002 s
% 3.47/1.44 % (1320950)Peak memory usage: 88 MB
% 3.47/1.44 % (1320950)Instructions burned: 1 (million)
% 3.47/1.44 % (1320950)------------------------------
% 3.47/1.44 % (1320950)------------------------------
% 3.47/1.44 % (1320942)Success in time 0.411 s
% 3.47/1.44 % Vampire exiting
%------------------------------------------------------------------------------