%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET638+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:44:17 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 67 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 25 ~; 20 |; 7 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 45 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
=> intersection(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f6,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( subset(X0,union(X1,X2))
& intersection(X0,X2) = empty_set )
=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th120) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,union(X1,X2))
& intersection(X0,X2) = empty_set )
=> subset(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(X0,union(X1,X2))
& intersection(X0,X2) = empty_set ),
inference(ennf_transformation,[],[f16]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(X0,union(X1,X2))
& intersection(X0,X2) = empty_set ),
inference(flattening,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f45,plain,
empty_set = intersection(sK2,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
subset(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
~ subset(sK2,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f66,plain,
sK2 = intersection(sK2,union(sK3,sK4)),
inference(resolution,[],[f22,f46]) ).
fof(f86,plain,
! [X0] :
( member(X0,union(sK3,sK4))
| ~ member(X0,sK2) ),
inference(superposition,[],[f29,f66]) ).
fof(f100,plain,
member(sK0(sK2,sK3),sK2),
inference(resolution,[],[f33,f47]) ).
fof(f102,plain,
~ member(sK0(sK2,sK3),sK3),
inference(resolution,[],[f34,f47]) ).
fof(f128,plain,
! [X0] :
( member(X0,sK4)
| member(X0,sK3)
| ~ member(X0,sK2) ),
inference(resolution,[],[f25,f86]) ).
fof(f135,plain,
! [X0] :
( member(X0,empty_set)
| ~ member(X0,sK2)
| ~ member(X0,sK4) ),
inference(superposition,[],[f31,f45]) ).
fof(f143,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f135,f28]) ).
fof(f144,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sK3)
| ~ member(X0,sK2) ),
inference(resolution,[],[f143,f128]) ).
fof(f145,plain,
! [X0] :
( member(X0,sK3)
| ~ member(X0,sK2) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f182,plain,
~ member(sK0(sK2,sK3),sK2),
inference(resolution,[],[f145,f102]) ).
fof(f183,plain,
$false,
inference(forward_subsumption_resolution,[],[f182,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET638+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:27:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % (2203256)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2203267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=471829368:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (2203262)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2203265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3086901729:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2203261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=315237889_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2203262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1020824470:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2203263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=406167053:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2203264)dis+10_1_sil=32000:sp=arity:random_seed=573882076:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2203266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=182334608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % (2203265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2203256-2203265"...
% 0.17/0.46 % TRYING [4]
% 0.17/0.46 % (2203265)...printing done.
% 0.17/0.46 % (2203264) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2203256-2203264"...
% 0.17/0.46 % (2203262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2203256-2203262"...
% 0.17/0.46 % (2203265)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2203265)------------------------------
% 0.17/0.46 % (2203265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2203265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2203265)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2203265)Termination reason: Refutation
% 0.17/0.46 % (2203265)Time elapsed: 0.005 s
% 0.17/0.46 % (2203265)Peak memory usage: 12 MB
% 0.17/0.46 % (2203265)Instructions burned: 6 (million)
% 0.17/0.46 % (2203256)Success in time 0.048 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------