%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET201-6 : 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 : n018.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 12:40:30 PM UTC 2026
% Result : Unsatisfiable 3.70s 1.52s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 13 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 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(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_1) ).
fof(f123,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_2) ).
fof(f124,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_3) ).
fof(f198,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),intersection(x,z)),
inference(resolution,[],[f2,f124]) ).
fof(f199,plain,
~ member(not_subclass_element(intersection(x,z),intersection(y,w)),intersection(y,w)),
inference(resolution,[],[f3,f124]) ).
fof(f200,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),x),
inference(resolution,[],[f21,f198]) ).
fof(f201,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),z),
inference(resolution,[],[f22,f198]) ).
fof(f209,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f122]) ).
fof(f210,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,z) ),
inference(resolution,[],[f1,f123]) ).
fof(f216,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w)
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
inference(resolution,[],[f23,f199]) ).
fof(f218,definition,
( spl1_1
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f219,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y)
| spl1_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl1_2
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),w) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f222,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w)
| spl1_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f216,f221,f218]) ).
fof(f224,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),x)
| spl1_1 ),
inference(resolution,[],[f219,f209]) ).
fof(f225,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f224,f200]) ).
fof(f226,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f227,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),z)
| spl1_2 ),
inference(resolution,[],[f222,f210]) ).
fof(f228,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f227,f201]) ).
fof(f229,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f228]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f226]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f229]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET201-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:08:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.70/1.52 % (2898613)Input is clausal, will run a generic CNF schedule.
% 3.70/1.52 % (2898619)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1041574482:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.70/1.52 % (2898624)dis-21_1_sil=8000:lcm=predicate:random_seed=1482861249: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)
% 3.70/1.52 % (2898623)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1996639349:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.70/1.52 % (2898621)lrs+10_1_sil=8000:sp=occurrence:random_seed=775328372:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.70/1.52 % (2898622)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1606955916:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.70/1.52 % (2898620)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=76933191:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.70/1.52 % (2898618)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=1643385900:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.70/1.52 % (2898621)Refutation not found, incomplete strategy
% 3.70/1.52 % (2898621)------------------------------
% 3.70/1.52 % (2898621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.52 % (2898621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.52 % (2898622)Refutation not found, incomplete strategy
% 3.70/1.52 % (2898622)------------------------------
% 3.70/1.52 % (2898622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.52 % (2898621)CaDiCaL version: 2.1.3
% 3.70/1.52 % (2898622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.52 % (2898621)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.52 % (2898621)Time elapsed: 0.002 s
% 3.70/1.52 % (2898621)Peak memory usage: 88 MB
% 3.70/1.52 % (2898622)CaDiCaL version: 2.1.3
% 3.70/1.52 % (2898621)Instructions burned: 1 (million)
% 3.70/1.52 % (2898622)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.52 % (2898622)Time elapsed: 0.002 s
% 3.70/1.52 % (2898622)Peak memory usage: 88 MB
% 3.70/1.52 % (2898622)Instructions burned: 1 (million)
% 3.70/1.52 % (2898624)First to succeed.
% 3.70/1.52 % (2898624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2898613"
% 3.70/1.52 % (2898623)Instruction limit reached!
% 3.70/1.52 % (2898623)------------------------------
% 3.70/1.52 % (2898623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.52 % (2898623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.52 % (2898623)CaDiCaL version: 2.1.3
% 3.70/1.52 % (2898623)Termination reason: Instruction limit
% 3.70/1.52 % (2898623)Termination phase: Saturation
% 3.70/1.52 % (2898623)Time elapsed: 0.134 s
% 3.70/1.52 % (2898623)Peak memory usage: 90 MB
% 3.70/1.52 % (2898623)Instructions burned: 180 (million)
% 3.70/1.52 % (2898622)------------------------------
% 3.70/1.52 % (2898622)------------------------------
% 3.70/1.52 % (2898621)------------------------------
% 3.70/1.52 % (2898621)------------------------------
% 3.70/1.52 % (2898624)Refutation found. Thanks to Tanya!
% 3.70/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.70/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.52 % (2898624)------------------------------
% 3.70/1.52 % (2898624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.52 % (2898624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.52 % (2898624)CaDiCaL version: 2.1.3
% 3.70/1.52 % (2898624)Termination reason: Refutation
% 3.70/1.52 % (2898624)Time elapsed: 0.005 s
% 3.70/1.52 % (2898624)Peak memory usage: 89 MB
% 3.70/1.52 % (2898624)Instructions burned: 7 (million)
% 3.70/1.52 % (2898624)------------------------------
% 3.70/1.52 % (2898624)------------------------------
% 3.70/1.52 % (2898613)Success in time 0.429 s
% 3.70/1.52 % Vampire exiting
%------------------------------------------------------------------------------