%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET015-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:42:36 PM UTC 2026
% Result : Unsatisfiable 1.47s 0.67s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 114 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 56 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f8,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ little_set(X0)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f13,axiom,
union(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_b_is_c) ).
fof(f14,axiom,
union(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_union_a_is_d) ).
fof(f15,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f16,plain,
cs = complement(intersection(complement(as),complement(bs))),
inference(definition_unfolding,[],[f13,f10]) ).
fof(f17,plain,
ds = complement(intersection(complement(bs),complement(as))),
inference(definition_unfolding,[],[f14,f10]) ).
fof(f47,plain,
! [X0] :
( ~ member(X0,intersection(complement(as),complement(bs)))
| ~ member(X0,cs) ),
inference(superposition,[],[f8,f16]) ).
fof(f48,plain,
! [X0] :
( ~ member(X0,intersection(complement(bs),complement(as)))
| ~ member(X0,ds) ),
inference(superposition,[],[f8,f17]) ).
fof(f84,plain,
! [X0] :
( member(X0,intersection(complement(as),complement(bs)))
| ~ little_set(X0)
| member(X0,cs) ),
inference(superposition,[],[f9,f16]) ).
fof(f85,plain,
! [X0] :
( member(X0,intersection(complement(bs),complement(as)))
| ~ little_set(X0)
| member(X0,ds) ),
inference(superposition,[],[f9,f17]) ).
fof(f106,plain,
! [X0] :
( ~ member(X0,complement(bs))
| ~ member(X0,complement(as))
| ~ member(X0,cs) ),
inference(resolution,[],[f7,f47]) ).
fof(f107,plain,
! [X0] :
( ~ member(X0,complement(bs))
| ~ member(X0,complement(as))
| ~ member(X0,ds) ),
inference(resolution,[],[f7,f48]) ).
fof(f200,plain,
! [X0] :
( member(X0,complement(bs))
| member(X0,cs)
| ~ little_set(X0) ),
inference(resolution,[],[f84,f6]) ).
fof(f201,plain,
! [X0] :
( member(X0,complement(as))
| member(X0,cs)
| ~ little_set(X0) ),
inference(resolution,[],[f84,f5]) ).
fof(f1287,plain,
! [X0] :
( member(X0,complement(as))
| member(X0,ds)
| ~ little_set(X0) ),
inference(resolution,[],[f85,f6]) ).
fof(f1288,plain,
! [X0] :
( member(X0,complement(bs))
| member(X0,ds)
| ~ little_set(X0) ),
inference(resolution,[],[f85,f5]) ).
fof(f1476,plain,
! [X0] :
( member(X0,ds)
| ~ little_set(X0)
| ~ member(X0,bs) ),
inference(resolution,[],[f1288,f8]) ).
fof(f1488,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,ds) ),
inference(forward_subsumption_resolution,[],[f1476,f1]) ).
fof(f1933,plain,
! [X0] :
( member(X0,cs)
| ~ little_set(X0)
| ~ member(X0,bs) ),
inference(resolution,[],[f200,f8]) ).
fof(f1949,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,cs) ),
inference(forward_subsumption_resolution,[],[f1933,f1]) ).
fof(f3009,plain,
! [X0] :
( ~ member(X0,complement(as))
| ~ member(X0,cs)
| ~ little_set(X0)
| member(X0,bs) ),
inference(resolution,[],[f106,f9]) ).
fof(f3044,plain,
! [X0] :
( ~ member(X0,complement(as))
| ~ member(X0,cs)
| member(X0,bs) ),
inference(forward_subsumption_resolution,[],[f3009,f1]) ).
fof(f3421,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,bs)
| member(X0,ds)
| ~ little_set(X0) ),
inference(resolution,[],[f3044,f1287]) ).
fof(f3467,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,bs)
| member(X0,ds) ),
inference(forward_subsumption_resolution,[],[f3421,f1]) ).
fof(f3468,plain,
! [X0] :
( member(X0,ds)
| ~ member(X0,cs) ),
inference(forward_subsumption_resolution,[],[f3467,f1488]) ).
fof(f3472,plain,
! [X0] :
( ~ member(f1(X0,ds),cs)
| ~ member(f1(X0,ds),X0)
| ds = X0 ),
inference(resolution,[],[f3468,f4]) ).
fof(f3692,plain,
! [X0] :
( ~ member(X0,complement(as))
| ~ member(X0,ds)
| ~ little_set(X0)
| member(X0,bs) ),
inference(resolution,[],[f107,f9]) ).
fof(f3711,plain,
! [X0] :
( ~ member(X0,complement(as))
| ~ member(X0,ds)
| member(X0,bs) ),
inference(forward_subsumption_resolution,[],[f3692,f1]) ).
fof(f3764,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,bs)
| member(X0,cs)
| ~ little_set(X0) ),
inference(resolution,[],[f3711,f201]) ).
fof(f3800,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,bs)
| member(X0,cs) ),
inference(forward_subsumption_resolution,[],[f3764,f1]) ).
fof(f3801,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,cs) ),
inference(forward_subsumption_resolution,[],[f3800,f1949]) ).
fof(f6267,plain,
( ~ member(f1(cs,ds),cs)
| cs = ds
| member(f1(cs,ds),ds)
| cs = ds ),
inference(resolution,[],[f3472,f3]) ).
fof(f6273,plain,
( ~ member(f1(cs,ds),cs)
| cs = ds
| member(f1(cs,ds),ds) ),
inference(duplicate_literal_removal,[],[f6267]) ).
fof(f6279,plain,
( cs = ds
| member(f1(cs,ds),ds) ),
inference(forward_subsumption_resolution,[],[f6273,f3]) ).
fof(f6280,plain,
member(f1(cs,ds),ds),
inference(forward_subsumption_resolution,[],[f6279,f15]) ).
fof(f6283,plain,
member(f1(cs,ds),cs),
inference(resolution,[],[f6280,f3801]) ).
fof(f6295,plain,
( ~ member(f1(cs,ds),cs)
| cs = ds ),
inference(resolution,[],[f6283,f3472]) ).
fof(f6299,plain,
cs = ds,
inference(forward_subsumption_resolution,[],[f6295,f6283]) ).
fof(f6300,plain,
$false,
inference(forward_subsumption_resolution,[],[f6299,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET015-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:11:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 1.47/0.67 % (3140027)Will run a generic schedule for satisfiability detection.
% 1.47/0.67 % (3140036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3756646995:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.47/0.67 % (3140033)% WARNING: option uhcvi not known.
% 1.47/0.67 % (3140035)dis+10_1_sil=32000:sp=arity:random_seed=2442940904:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.47/0.67 % (3140032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3591956316_2999 on theBenchmark for (2999ds/0Mi)
% 1.47/0.67 % (3140037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1632856436:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.47/0.67 % (3140038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3060861439:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.47/0.67 % (3140033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1936084038:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.47/0.67 % TRYING [1]
% 1.47/0.67 % (3140034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2445905027:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.47/0.67 % TRYING [2]
% 1.47/0.67 % TRYING [3]
% 1.47/0.67 % TRYING [4]
% 1.47/0.67 % TRYING [5]
% 1.47/0.67 % (3140036)Instruction limit reached!
% 1.47/0.67 % (3140036)------------------------------
% 1.47/0.67 % (3140036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140036)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140036)Termination reason: Instruction limit
% 1.47/0.67 % (3140036)Termination phase: Saturation
% 1.47/0.67 % (3140036)Time elapsed: 0.039 s
% 1.47/0.67 % (3140036)Peak memory usage: 12 MB
% 1.47/0.67 % (3140036)Instructions burned: 119 (million)
% 1.47/0.67 % (3140046)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1954531582:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.47/0.67 % TRYING [1]
% 1.47/0.67 % TRYING [2]
% 1.47/0.67 % TRYING [3]
% 1.47/0.67 % TRYING [4]
% 1.47/0.67 % TRYING [5]
% 1.47/0.67 % TRYING [6]
% 1.47/0.67 % (3140035)Instruction limit reached!
% 1.47/0.67 % (3140035)------------------------------
% 1.47/0.67 % (3140035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140035)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140035)Termination reason: Instruction limit
% 1.47/0.67 % (3140035)Termination phase: Saturation
% 1.47/0.67 % (3140035)Time elapsed: 0.061 s
% 1.47/0.67 % (3140035)Peak memory usage: 12 MB
% 1.47/0.67 % (3140035)Instructions burned: 103 (million)
% 1.47/0.67 % (3140037)Instruction limit reached!
% 1.47/0.67 % (3140037)------------------------------
% 1.47/0.67 % (3140037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140037)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140037)Termination reason: Instruction limit
% 1.47/0.67 % (3140037)Termination phase: Saturation
% 1.47/0.67 % (3140037)Time elapsed: 0.074 s
% 1.47/0.67 % (3140037)Peak memory usage: 12 MB
% 1.47/0.67 % (3140037)Instructions burned: 132 (million)
% 1.47/0.67 % (3140048)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=932512785:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.47/0.67 % (3140049)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3526478492:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.47/0.67 % TRYING [6]
% 1.47/0.67 % (3140038)Instruction limit reached!
% 1.47/0.67 % (3140038)------------------------------
% 1.47/0.67 % (3140038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140038)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140038)Termination reason: Instruction limit
% 1.47/0.67 % (3140038)Termination phase: Saturation
% 1.47/0.67 % (3140038)Time elapsed: 0.107 s
% 1.47/0.67 % (3140038)Peak memory usage: 13 MB
% 1.47/0.67 % (3140038)Instructions burned: 160 (million)
% 1.47/0.67 % (3140052)ott-21_1_sil=16000:fs=off:random_seed=3214365002:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.47/0.67 % (3140048)Instruction limit reached!
% 1.47/0.67 % (3140048)------------------------------
% 1.47/0.67 % (3140048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140048)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140048)Termination reason: Instruction limit
% 1.47/0.67 % (3140048)Termination phase: Saturation
% 1.47/0.67 % (3140048)Time elapsed: 0.081 s
% 1.47/0.67 % (3140048)Peak memory usage: 12 MB
% 1.47/0.67 % (3140048)Instructions burned: 131 (million)
% 1.47/0.67 % (3140054)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=563943327:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.47/0.67 % (3140052)Instruction limit reached!
% 1.47/0.67 % (3140052)------------------------------
% 1.47/0.67 % (3140052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140052)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140052)Termination reason: Instruction limit
% 1.47/0.67 % (3140052)Termination phase: Saturation
% 1.47/0.67 % (3140052)Time elapsed: 0.091 s
% 1.47/0.67 % (3140052)Peak memory usage: 12 MB
% 1.47/0.67 % (3140052)Instructions burned: 181 (million)
% 1.47/0.67 % (3140049) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3140027-3140049"...
% 1.47/0.67 % (3140049)...printing done.
% 1.47/0.67 % (3140049)Refutation found. Thanks to Tanya!
% 1.47/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.67 % (3140049)------------------------------
% 1.47/0.67 % (3140049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.67 % (3140049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.67 % (3140049)CaDiCaL version: 2.1.3
% 1.47/0.67 % (3140049)Termination reason: Refutation
% 1.47/0.67 % (3140049)Time elapsed: 0.130 s
% 1.47/0.67 % (3140049)Peak memory usage: 14 MB
% 1.47/0.67 % (3140049)Instructions burned: 199 (million)
% 1.47/0.67 % (3140027)Success in time 0.258 s
% 1.47/0.67 % Vampire exiting
%------------------------------------------------------------------------------