%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET700+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:44:27 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 5 unt; 2 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 48 ~; 53 |; 8 &)
% ( 8 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X2,X1)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI34) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X2,X1)),X1) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X2,X1)),X1) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X2,X1)),X1) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f44,plain,
( subset(intersection(sK3,difference(sK5,sK4)),sK4)
| subset(sK3,sK4) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
( ~ subset(intersection(sK3,difference(sK5,sK4)),sK4)
| ~ subset(sK3,sK4) ),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
subset(sK3,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f52,definition,
( spl6_1
<=> subset(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f53,plain,
( ~ subset(sK3,sK4)
| spl6_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( subset(sK3,sK4)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl6_2
<=> subset(intersection(sK3,difference(sK5,sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f57,plain,
( ~ subset(intersection(sK3,difference(sK5,sK4)),sK4)
| spl6_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( subset(intersection(sK3,difference(sK5,sK4)),sK4)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f44,f56,f52]) ).
fof(f60,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f45,f56,f52]) ).
fof(f67,plain,
( member(sK0(sK3,sK4),sK3)
| spl6_1 ),
inference(resolution,[],[f19,f53]) ).
fof(f69,plain,
( ~ member(sK0(sK3,sK4),sK4)
| spl6_1 ),
inference(resolution,[],[f20,f53]) ).
fof(f72,plain,
! [X0] :
( member(X0,sK5)
| ~ member(X0,sK3) ),
inference(resolution,[],[f18,f47]) ).
fof(f73,plain,
( ! [X0] :
( ~ member(X0,intersection(sK3,difference(sK5,sK4)))
| member(X0,sK4) )
| ~ spl6_2 ),
inference(resolution,[],[f18,f58]) ).
fof(f157,plain,
( ! [X0] :
( ~ member(X0,sK3)
| ~ member(X0,difference(sK5,sK4))
| member(X0,sK4) )
| ~ spl6_2 ),
inference(resolution,[],[f25,f73]) ).
fof(f161,plain,
( ! [X0] :
( ~ member(X0,difference(sK5,sK4))
| ~ member(X0,sK3) )
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f157,f30]) ).
fof(f175,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(X0,sK4)
| ~ member(X0,sK3) )
| ~ spl6_2 ),
inference(resolution,[],[f32,f161]) ).
fof(f179,plain,
( ! [X0] :
( ~ member(X0,sK3)
| member(X0,sK4) )
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f175,f72]) ).
fof(f180,plain,
( member(sK0(sK3,sK4),sK4)
| spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f179,f67]) ).
fof(f183,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f180,f69]) ).
fof(f184,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f185,plain,
( ! [X0] :
( ~ member(X0,sK3)
| member(X0,sK4) )
| ~ spl6_1 ),
inference(resolution,[],[f54,f18]) ).
fof(f187,plain,
( ~ member(sK0(intersection(sK3,difference(sK5,sK4)),sK4),sK4)
| spl6_2 ),
inference(resolution,[],[f57,f20]) ).
fof(f188,plain,
( member(sK0(intersection(sK3,difference(sK5,sK4)),sK4),intersection(sK3,difference(sK5,sK4)))
| spl6_2 ),
inference(resolution,[],[f57,f19]) ).
fof(f200,plain,
( member(sK0(intersection(sK3,difference(sK5,sK4)),sK4),sK3)
| spl6_2 ),
inference(resolution,[],[f188,f24]) ).
fof(f210,plain,
( member(sK0(intersection(sK3,difference(sK5,sK4)),sK4),sK4)
| ~ spl6_1
| spl6_2 ),
inference(resolution,[],[f200,f185]) ).
fof(f213,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f210,f187]) ).
fof(f214,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f213]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f59]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f184]) ).
cnf(s4,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f214]) ).
cnf(s5,plain,
spl6_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl6_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f215,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET700+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:36:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46 % (1131945)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (1131951)% WARNING: option uhcvi not known.
% 0.15/0.46 % (1131951)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=714780605:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (1131950)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1783955949_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (1131952)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3051159209:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (1131953)dis+10_1_sil=32000:sp=arity:random_seed=3501513094:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (1131955)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3735166257:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (1131954)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3150502983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (1131956)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2582006047:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (1131954) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1131945-1131954"...
% 0.15/0.46 % TRYING [5]
% 0.15/0.46 % (1131954)...printing done.
% 0.15/0.46 % (1131954)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (1131954)------------------------------
% 0.15/0.46 % (1131954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (1131954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (1131954)CaDiCaL version: 2.1.3
% 0.15/0.46 % (1131954)Termination reason: Refutation
% 0.15/0.46 % (1131954)Time elapsed: 0.009 s
% 0.15/0.46 % (1131954)Peak memory usage: 12 MB
% 0.15/0.46 % (1131954)Instructions burned: 11 (million)
% 0.15/0.46 % (1131945)Success in time 0.05 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------