%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET014-6 : 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 : n016.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 12:39:32 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 19 unt; 5 def)
% Number of atoms : 98 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 42 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f122,negated_conjecture,
subclass(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_1) ).
fof(f123,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_2) ).
fof(f124,negated_conjecture,
~ subclass(union(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_least_upper_bound_3) ).
fof(f138,plain,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f124,f26]) ).
fof(f205,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))),
inference(resolution,[],[f2,f138]) ).
fof(f206,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f3,f138]) ).
fof(f207,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y))),
inference(resolution,[],[f205,f24]) ).
fof(f211,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,z) ),
inference(resolution,[],[f1,f122]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,y)
| member(X0,z) ),
inference(resolution,[],[f1,f123]) ).
fof(f223,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(resolution,[],[f23,f207]) ).
fof(f225,definition,
( spl1_1
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f226,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| spl1_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,definition,
( spl1_2
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| spl1_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f223,f228,f225]) ).
fof(f231,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x)
| spl1_1 ),
inference(resolution,[],[f226,f25]) ).
fof(f233,definition,
( spl1_3
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f234,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,definition,
( spl1_4
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f237,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| spl1_4 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( spl1_3
| ~ spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f231,f225,f236,f233]) ).
fof(f239,plain,
( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),X0)
| spl1_4 ),
inference(resolution,[],[f237,f211]) ).
fof(f240,plain,
( $false
| spl1_4 ),
inference(resolution,[],[f239,f205]) ).
fof(f248,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f249,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ spl1_3 ),
inference(resolution,[],[f234,f216]) ).
fof(f250,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f249,f206]) ).
fof(f251,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f252,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| spl1_2 ),
inference(resolution,[],[f229,f25]) ).
fof(f254,definition,
( spl1_5
<=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f255,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( spl1_5
| ~ spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f252,f228,f236,f254]) ).
fof(f257,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ spl1_5 ),
inference(resolution,[],[f255,f217]) ).
fof(f258,plain,
( $false
| ~ spl1_5 ),
inference(resolution,[],[f257,f206]) ).
fof(f259,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f258]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f230]) ).
cnf(s2,plain,
( spl1_1
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f238]) ).
cnf(s3,plain,
spl1_4,
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
~ spl1_3,
inference(sat_conversion,[],[f251]) ).
cnf(s5,plain,
( spl1_2
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f256]) ).
cnf(s6,plain,
~ spl1_5,
inference(sat_conversion,[],[f259]) ).
cnf(s7,plain,
( spl1_2
| ~ spl1_4 ),
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl1_2,
inference(rat,[],[s7,s3]) ).
cnf(s9,plain,
spl1_1,
inference(rat,[],[s2,s3,s4]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8,s9]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET014-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n016.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 00:10:18 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.16/1.40 % (3137989)Input is clausal, will run a generic CNF schedule.
% 0.16/1.40 % (3137994)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=3009479739:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.40 % (3137997)lrs+10_1_sil=8000:sp=occurrence:random_seed=3244425503:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.40 % (3137995)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2067768186:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.40 % (3137999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=516935546:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.40 % (3137996)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1212671594:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.40 % (3138000)dis-21_1_sil=8000:lcm=predicate:random_seed=2276348449: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)
% 0.16/1.40 % (3137998)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4025746395:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.40 % (3138000)First to succeed.
% 0.16/1.40 % (3138000)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3137989"
% 0.16/1.40 % (3137997)Refutation not found, incomplete strategy
% 0.16/1.40 % (3137997)------------------------------
% 0.16/1.40 % (3137997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3137997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3137997)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3137997)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.40 % (3137997)Time elapsed: 0.028 s
% 0.16/1.40 % (3137997)Peak memory usage: 89 MB
% 0.16/1.40 % (3137997)Instructions burned: 40 (million)
% 0.16/1.40 % (3137998)Instruction limit reached!
% 0.16/1.40 % (3137998)------------------------------
% 0.16/1.40 % (3137998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3137998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3137998)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3137998)Termination reason: Instruction limit
% 0.16/1.40 % (3137998)Termination phase: Saturation
% 0.16/1.40 % (3137998)Time elapsed: 0.070 s
% 0.16/1.40 % (3137998)Peak memory usage: 89 MB
% 0.16/1.40 % (3137998)Instructions burned: 115 (million)
% 0.16/1.40 % (3137999)Instruction limit reached!
% 0.16/1.40 % (3137999)------------------------------
% 0.16/1.40 % (3137999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3137999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3137999)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3137999)Termination reason: Instruction limit
% 0.16/1.40 % (3137999)Termination phase: Saturation
% 0.16/1.40 % (3137999)Time elapsed: 0.137 s
% 0.16/1.40 % (3137999)Peak memory usage: 90 MB
% 0.16/1.40 % (3137999)Instructions burned: 180 (million)
% 0.16/1.40 % (3138008)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=3787340120:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.16/1.40 % (3138008)Refutation not found, incomplete strategy
% 0.16/1.40 % (3138008)------------------------------
% 0.16/1.40 % (3138008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3138008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3138008)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3138008)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.40 % (3138008)Time elapsed: 0.003 s
% 0.16/1.40 % (3138008)Peak memory usage: 88 MB
% 0.16/1.40 % (3138008)Instructions burned: 2 (million)
% 0.16/1.40 % (3138000)Refutation found. Thanks to Tanya!
% 0.16/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.40 % (3138000)------------------------------
% 0.16/1.40 % (3138000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3138000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3138000)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3138000)Termination reason: Refutation
% 0.16/1.40 % (3138000)Time elapsed: 0.006 s
% 0.16/1.40 % (3138000)Peak memory usage: 89 MB
% 0.16/1.40 % (3138000)Instructions burned: 8 (million)
% 0.16/1.40 % (3138000)------------------------------
% 0.16/1.40 % (3138000)------------------------------
% 0.16/1.40 % (3137989)Success in time 0.446 s
% 0.16/1.40 % Vampire exiting
%------------------------------------------------------------------------------