%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:52:39 PM UTC 2026
% Result : Theorem 1.94s 0.88s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 22 ~; 16 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 55 ( 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f210,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f214,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f215,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f226,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f498,plain,
! [X0,X1,X2] :
( ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f199]) ).
fof(f513,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f210]) ).
fof(f514,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f513]) ).
fof(f518,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f519,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f518]) ).
fof(f532,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f226]) ).
fof(f533,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f532]) ).
fof(f1122,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f498]) ).
fof(f1139,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(cnf_transformation,[],[f514]) ).
fof(f1146,plain,
relation_of2_as_subset(sK111,sK110,sK108),
inference(cnf_transformation,[],[f519]) ).
fof(f1147,plain,
subset(sK108,sK109),
inference(cnf_transformation,[],[f519]) ).
fof(f1148,plain,
~ relation_of2_as_subset(sK111,sK110,sK109),
inference(cnf_transformation,[],[f519]) ).
fof(f1162,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f533]) ).
fof(f2473,plain,
subset(relation_rng(sK111),sK108),
inference(resolution,[],[f1122,f1146]) ).
fof(f3167,plain,
! [X0] :
( subset(relation_rng(sK111),X0)
| ~ subset(sK108,X0) ),
inference(resolution,[],[f1162,f2473]) ).
fof(f5156,plain,
! [X0] :
( relation_of2_as_subset(sK111,sK110,X0)
| ~ subset(relation_rng(sK111),X0) ),
inference(resolution,[],[f1139,f1146]) ).
fof(f14760,plain,
~ subset(relation_rng(sK111),sK109),
inference(resolution,[],[f5156,f1148]) ).
fof(f14815,plain,
~ subset(sK108,sK109),
inference(resolution,[],[f14760,f3167]) ).
fof(f14819,plain,
$false,
inference(forward_subsumption_resolution,[],[f14815,f1147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:27:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.94/0.88 % (3257039)Will run a generic schedule for satisfiability detection.
% 1.94/0.88 % (3257049)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3156847896:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.88 % (3257045)% WARNING: option uhcvi not known.
% 1.94/0.88 % (3257044)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3140517646_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.88 % (3257045)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3979822244:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.88 % (3257046)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3884137530:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.88 % (3257047)dis+10_1_sil=32000:sp=arity:random_seed=2804276919:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.88 % (3257048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2094371405:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.88 % (3257050)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1360981668:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.88 % (3257049)Instruction limit reached!
% 1.94/0.88 % (3257049)------------------------------
% 1.94/0.88 % (3257049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257049)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257049)Termination reason: Instruction limit
% 1.94/0.88 % (3257049)Termination phase: Saturation
% 1.94/0.88 % (3257049)Time elapsed: 0.042 s
% 1.94/0.88 % (3257049)Peak memory usage: 14 MB
% 1.94/0.88 % (3257049)Instructions burned: 134 (million)
% 1.94/0.88 % (3257058)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2736809161:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.94/0.88 % (3257047)Instruction limit reached!
% 1.94/0.88 % (3257047)------------------------------
% 1.94/0.88 % (3257047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257047)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257047)Termination reason: Instruction limit
% 1.94/0.88 % (3257047)Termination phase: Saturation
% 1.94/0.88 % (3257047)Time elapsed: 0.067 s
% 1.94/0.88 % (3257047)Peak memory usage: 13 MB
% 1.94/0.88 % (3257047)Instructions burned: 103 (million)
% 1.94/0.88 % (3257048)Instruction limit reached!
% 1.94/0.88 % (3257048)------------------------------
% 1.94/0.88 % (3257048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257048)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257048)Termination reason: Instruction limit
% 1.94/0.88 % (3257048)Termination phase: Saturation
% 1.94/0.88 % (3257048)Time elapsed: 0.070 s
% 1.94/0.88 % (3257048)Peak memory usage: 14 MB
% 1.94/0.88 % (3257048)Instructions burned: 116 (million)
% 1.94/0.88 % TRYING [1]
% 1.94/0.88 % TRYING [1]
% 1.94/0.88 % TRYING [2]
% 1.94/0.88 % TRYING [2]
% 1.94/0.88 % (3257060)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=502331602:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.94/0.88 % (3257061)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=1740638392:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.94/0.88 % TRYING [3]
% 1.94/0.88 % (3257050)Instruction limit reached!
% 1.94/0.88 % (3257050)------------------------------
% 1.94/0.88 % (3257050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257050)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257050)Termination reason: Instruction limit
% 1.94/0.88 % (3257050)Termination phase: Saturation
% 1.94/0.88 % (3257050)Time elapsed: 0.107 s
% 1.94/0.88 % (3257050)Peak memory usage: 15 MB
% 1.94/0.88 % (3257050)Instructions burned: 160 (million)
% 1.94/0.88 % TRYING [3]
% 1.94/0.88 % (3257064)ott-21_1_sil=16000:fs=off:random_seed=1660506676:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.94/0.88 % (3257060)Instruction limit reached!
% 1.94/0.88 % (3257060)------------------------------
% 1.94/0.88 % (3257060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257060)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257060)Termination reason: Instruction limit
% 1.94/0.88 % (3257060)Termination phase: Saturation
% 1.94/0.88 % (3257060)Time elapsed: 0.075 s
% 1.94/0.88 % (3257060)Peak memory usage: 14 MB
% 1.94/0.88 % (3257060)Instructions burned: 134 (million)
% 1.94/0.88 % (3257066)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2476825687:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.94/0.88 % TRYING [4]
% 1.94/0.88 % (3257058)Instruction limit reached!
% 1.94/0.88 % (3257058)------------------------------
% 1.94/0.88 % (3257058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257058)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257058)Termination reason: Instruction limit
% 1.94/0.88 % (3257058)Termination phase: Finite model building constraint generation
% 1.94/0.88 % (3257058)Time elapsed: 0.155 s
% 1.94/0.88 % (3257058)Peak memory usage: 38 MB
% 1.94/0.88 % (3257058)Instructions burned: 714 (million)
% 1.94/0.88 % (3257068)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=935127023:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.94/0.88 % (3257064)Instruction limit reached!
% 1.94/0.88 % (3257064)------------------------------
% 1.94/0.88 % (3257064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257064)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257064)Termination reason: Instruction limit
% 1.94/0.88 % (3257064)Termination phase: Saturation
% 1.94/0.88 % (3257064)Time elapsed: 0.098 s
% 1.94/0.88 % (3257064)Peak memory usage: 14 MB
% 1.94/0.88 % (3257064)Instructions burned: 181 (million)
% 1.94/0.88 % (3257070)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=527345846:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.94/0.88 % TRYING [1]
% 1.94/0.88 % TRYING [2]
% 1.94/0.88 % TRYING [3]
% 1.94/0.88 % TRYING [4]
% 1.94/0.88 % (3257045) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3257039-3257045"...
% 1.94/0.88 % (3257045)...printing done.
% 1.94/0.88 % (3257045)Refutation found. Thanks to Tanya!
% 1.94/0.88 % SZS status Theorem for theBenchmark
% 1.94/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.88 % (3257045)------------------------------
% 1.94/0.88 % (3257045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.88 % (3257045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.88 % (3257045)CaDiCaL version: 2.1.3
% 1.94/0.88 % (3257045)Termination reason: Refutation
% 1.94/0.88 % (3257045)Time elapsed: 0.399 s
% 1.94/0.88 % (3257045)Peak memory usage: 18 MB
% 1.94/0.88 % (3257045)Instructions burned: 650 (million)
% 1.94/0.88 % (3257039)Success in time 0.455 s
% 1.94/0.88 % Vampire exiting
%------------------------------------------------------------------------------