%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:39:27 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.47s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f13,axiom,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
fof(f14,negated_conjecture,
~ subset(a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).
fof(f20,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aUa) ),
inference(resolution,[],[f8,f13]) ).
fof(f24,plain,
! [X0] :
( member(member_of_1_not_of_2(a,X0),aUa)
| subset(a,X0) ),
inference(resolution,[],[f20,f2]) ).
fof(f28,plain,
( subset(a,aUa)
| subset(a,aUa) ),
inference(resolution,[],[f24,f3]) ).
fof(f30,plain,
subset(a,aUa),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:02:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.58/1.47 % (3468426)Input is clausal, will run a generic CNF schedule.
% 3.58/1.47 % (3468467)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3001647671:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.47 % (3468467)Refutation not found, incomplete strategy
% 3.58/1.47 % (3468467)------------------------------
% 3.58/1.47 % (3468467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.47 % (3468467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.47 % (3468467)CaDiCaL version: 2.1.3
% 3.58/1.47 % (3468467)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.47 % (3468467)Time elapsed: 0.001 s
% 3.58/1.47 % (3468467)Peak memory usage: 87 MB
% 3.58/1.47 % (3468465)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=437158007:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.47 % (3468464)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=92576811:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.47 % (3468463)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=4210866055:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.47 % (3468466)lrs+10_1_sil=8000:sp=occurrence:random_seed=3694338808:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.47 % (3468466)First to succeed.
% 3.58/1.47 % (3468466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3468426"
% 3.58/1.47 % (3468469)dis-21_1_sil=8000:lcm=predicate:random_seed=1398399636: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)
% 3.58/1.47 % (3468468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=48508183:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.47 % (3468469)Also succeeded, but the first one will report.
% 3.58/1.47 % (3468468)Also succeeded, but the first one will report.
% 3.58/1.47 % (3468467)------------------------------
% 3.58/1.47 % (3468467)------------------------------
% 3.58/1.47 % (3468568)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=3468105092:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.58/1.47 % (3468568)Also succeeded, but the first one will report.
% 3.58/1.47 % (3468466)Refutation found. Thanks to Tanya!
% 3.58/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.47 % (3468466)------------------------------
% 3.58/1.47 % (3468466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.47 % (3468466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.47 % (3468466)CaDiCaL version: 2.1.3
% 3.58/1.47 % (3468466)Termination reason: Refutation
% 3.58/1.47 % (3468466)Time elapsed: 0.002 s
% 3.58/1.47 % (3468466)Peak memory usage: 87 MB
% 3.58/1.47 % (3468466)Instructions burned: 1 (million)
% 3.58/1.47 % (3468466)------------------------------
% 3.58/1.47 % (3468466)------------------------------
% 3.58/1.47 % (3468426)Success in time 0.416 s
% 3.58/1.47 % Vampire exiting
%------------------------------------------------------------------------------