%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET195-6 : 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 : n017.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 12:40:28 PM UTC 2026
% Result : Unsatisfiable 3.28s 1.15s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 52 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f122,negated_conjecture,
~ subclass(y,union(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lattice_upper_bound2_1) ).
fof(f136,plain,
~ subclass(y,complement(intersection(complement(x),complement(y)))),
inference(definition_unfolding,[],[f122,f26]) ).
fof(f203,plain,
member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y),
inference(resolution,[],[f2,f136]) ).
fof(f204,plain,
~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))),
inference(resolution,[],[f3,f136]) ).
fof(f205,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f214,plain,
( ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),universal_class)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f25,f204]) ).
fof(f216,definition,
( spl1_1
<=> member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f217,plain,
( member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,definition,
( spl1_2
<=> member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f220,plain,
( ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),universal_class)
| spl1_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f214,f219,f216]) ).
fof(f222,plain,
( ! [X0] : ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),X0)
| spl1_2 ),
inference(resolution,[],[f220,f205]) ).
fof(f223,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f222,f203]) ).
fof(f230,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f231,plain,
( member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(y))
| ~ spl1_1 ),
inference(resolution,[],[f217,f22]) ).
fof(f233,plain,
( ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ spl1_1 ),
inference(resolution,[],[f231,f24]) ).
fof(f234,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f233,f203]) ).
fof(f235,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f234]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f221]) ).
cnf(s2,plain,
spl1_2,
inference(sat_conversion,[],[f230]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f235]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f236,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET195-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:59:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 3.28/1.15 % (3126191)Input is clausal, will run a generic CNF schedule.
% 3.28/1.15 % (3126201)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=252034650:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.28/1.15 % (3126197)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2196518186:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.28/1.15 % (3126199)lrs+10_1_sil=8000:sp=occurrence:random_seed=1207951845:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.28/1.15 % (3126198)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2979871243:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.28/1.15 % (3126202)dis-21_1_sil=8000:lcm=predicate:random_seed=2512601999: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)
% 3.28/1.15 % (3126200)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3256174516:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.28/1.15 % (3126196)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=3985154853:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.28/1.15 % (3126202)First to succeed.
% 3.28/1.15 % (3126202)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3126191"
% 3.28/1.15 % (3126199)Refutation not found, incomplete strategy
% 3.28/1.15 % (3126199)------------------------------
% 3.28/1.15 % (3126199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.15 % (3126199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.15 % (3126199)CaDiCaL version: 2.1.3
% 3.28/1.15 % (3126199)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.15 % (3126199)Time elapsed: 0.027 s
% 3.28/1.15 % (3126199)Peak memory usage: 89 MB
% 3.28/1.15 % (3126199)Instructions burned: 40 (million)
% 3.28/1.15 % (3126200)Instruction limit reached!
% 3.28/1.15 % (3126200)------------------------------
% 3.28/1.15 % (3126200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.15 % (3126200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.15 % (3126200)CaDiCaL version: 2.1.3
% 3.28/1.15 % (3126200)Termination reason: Instruction limit
% 3.28/1.15 % (3126200)Termination phase: Saturation
% 3.28/1.15 % (3126200)Time elapsed: 0.068 s
% 3.28/1.15 % (3126200)Peak memory usage: 89 MB
% 3.28/1.15 % (3126200)Instructions burned: 114 (million)
% 3.28/1.15 % (3126201)Instruction limit reached!
% 3.28/1.15 % (3126201)------------------------------
% 3.28/1.15 % (3126201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.15 % (3126201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.15 % (3126201)CaDiCaL version: 2.1.3
% 3.28/1.15 % (3126201)Termination reason: Instruction limit
% 3.28/1.15 % (3126201)Termination phase: Saturation
% 3.28/1.15 % (3126201)Time elapsed: 0.123 s
% 3.28/1.15 % (3126201)Peak memory usage: 90 MB
% 3.28/1.15 % (3126201)Instructions burned: 180 (million)
% 3.28/1.15 % (3126210)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=2314429518:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.28/1.15 % (3126210)Refutation not found, incomplete strategy
% 3.28/1.15 % (3126210)------------------------------
% 3.28/1.15 % (3126210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.15 % (3126210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.15 % (3126210)CaDiCaL version: 2.1.3
% 3.28/1.15 % (3126210)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.15 % (3126210)Time elapsed: 0.002 s
% 3.28/1.15 % (3126210)Peak memory usage: 88 MB
% 3.28/1.15 % (3126210)Instructions burned: 2 (million)
% 3.28/1.15 % (3126202)Refutation found. Thanks to Tanya!
% 3.28/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.28/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.28/1.15 % (3126202)------------------------------
% 3.28/1.15 % (3126202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.15 % (3126202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.15 % (3126202)CaDiCaL version: 2.1.3
% 3.28/1.15 % (3126202)Termination reason: Refutation
% 3.28/1.15 % (3126202)Time elapsed: 0.005 s
% 3.28/1.15 % (3126202)Peak memory usage: 89 MB
% 3.28/1.15 % (3126202)Instructions burned: 7 (million)
% 3.28/1.15 % (3126202)------------------------------
% 3.28/1.15 % (3126202)------------------------------
% 3.28/1.15 % (3126191)Success in time 0.428 s
% 3.28/1.15 % Vampire exiting
%------------------------------------------------------------------------------