%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP005+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 11:33:58 AM UTC 2026
% Result : Theorem 55.94s 12.52s
% Output : Refutation 55.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 76 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 28 |; 3 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 36 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',bool_ne) ).
fof(f1017,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( ne(X2)
=> ! [X3] :
( mem(X3,arr(X0,arr(X1,X2)))
=> ap(c_2Epair_2ECURRY(X0,X1,X2),ap(c_2Epair_2EUNCURRY(X0,X1,X2),X3)) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP014+5.ax',conj_thm_2Epair_2ECURRY__UNCURRY__THM) ).
fof(f3161,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> c_2Eset__relation_2Erel__to__reln(X0,X1) = c_2Epair_2EUNCURRY(X0,X1,bool) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY) ).
fof(f3162,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> c_2Eset__relation_2Ereln__to__rel(X0,X1) = c_2Epair_2ECURRY(X0,X1,bool) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY) ).
fof(f3163,conjecture,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,arr(X0,arr(X1,bool)))
=> ap(c_2Eset__relation_2Ereln__to__rel(X0,X1),ap(c_2Eset__relation_2Erel__to__reln(X0,X1),X2)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Erel__to__reln__inv) ).
fof(f3164,negated_conjecture,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,arr(X0,arr(X1,bool)))
=> ap(c_2Eset__relation_2Ereln__to__rel(X0,X1),ap(c_2Eset__relation_2Erel__to__reln(X0,X1),X2)) = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f3163]) ).
fof(f4358,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ap(c_2Epair_2ECURRY(X0,X1,X2),ap(c_2Epair_2EUNCURRY(X0,X1,X2),X3)) = X3
| ~ mem(X3,arr(X0,arr(X1,X2))) )
| ~ ne(X2) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f1017]) ).
fof(f7021,plain,
! [X0] :
( ! [X1] :
( c_2Eset__relation_2Erel__to__reln(X0,X1) = c_2Epair_2EUNCURRY(X0,X1,bool)
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f3161]) ).
fof(f7022,plain,
! [X0] :
( ! [X1] :
( c_2Eset__relation_2Ereln__to__rel(X0,X1) = c_2Epair_2ECURRY(X0,X1,bool)
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f3162]) ).
fof(f7023,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ap(c_2Eset__relation_2Ereln__to__rel(X0,X1),ap(c_2Eset__relation_2Erel__to__reln(X0,X1),X2)) != X2
& mem(X2,arr(X0,arr(X1,bool))) )
& ne(X1) )
& ne(X0) ),
inference(ennf_transformation,[],[f3164]) ).
fof(f7024,plain,
ne(bool),
inference(cnf_transformation,[],[f1]) ).
fof(f9540,plain,
! [X2,X3,X0,X1] :
( ~ ne(X0)
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X0,arr(X1,X2)))
| ap(c_2Epair_2ECURRY(X0,X1,X2),ap(c_2Epair_2EUNCURRY(X0,X1,X2),X3)) = X3 ),
inference(cnf_transformation,[],[f4358]) ).
fof(f14272,plain,
! [X0,X1] :
( ~ ne(X1)
| ~ ne(X0)
| c_2Epair_2EUNCURRY(X0,X1,bool) = c_2Eset__relation_2Erel__to__reln(X0,X1) ),
inference(cnf_transformation,[],[f7021]) ).
fof(f14273,plain,
! [X0,X1] :
( ~ ne(X1)
| ~ ne(X0)
| c_2Eset__relation_2Ereln__to__rel(X0,X1) = c_2Epair_2ECURRY(X0,X1,bool) ),
inference(cnf_transformation,[],[f7022]) ).
fof(f14274,plain,
mem(sK976,arr(sK974,arr(sK975,bool))),
inference(cnf_transformation,[],[f7023]) ).
fof(f14275,plain,
sK976 != ap(c_2Eset__relation_2Ereln__to__rel(sK974,sK975),ap(c_2Eset__relation_2Erel__to__reln(sK974,sK975),sK976)),
inference(cnf_transformation,[],[f7023]) ).
fof(f14276,plain,
ne(sK975),
inference(cnf_transformation,[],[f7023]) ).
fof(f14277,plain,
ne(sK974),
inference(cnf_transformation,[],[f7023]) ).
fof(f18610,plain,
! [X2,X3,X0,X1] :
( mem(X3,arr(X0,arr(X1,X2)))
| ~ ne(X1)
| ~ ne(X2)
| ~ ne(X0)
| ap(c_2Epair_2ECURRY(X0,X1,X2),ap(c_2Epair_2EUNCURRY(X0,X1,X2),X3)) = X3 ),
inference(consistent_polarity_flipping,[],[f9540]) ).
fof(f23206,plain,
~ mem(sK976,arr(sK974,arr(sK975,bool))),
inference(consistent_polarity_flipping,[],[f14274]) ).
fof(f29068,plain,
! [X0] :
( ~ ne(X0)
| c_2Epair_2EUNCURRY(X0,sK975,bool) = c_2Eset__relation_2Erel__to__reln(X0,sK975) ),
inference(resolution,[],[f14272,f14276]) ).
fof(f29166,plain,
! [X0] :
( ~ ne(X0)
| c_2Eset__relation_2Ereln__to__rel(X0,sK975) = c_2Epair_2ECURRY(X0,sK975,bool) ),
inference(resolution,[],[f14273,f14276]) ).
fof(f81555,plain,
c_2Eset__relation_2Erel__to__reln(sK974,sK975) = c_2Epair_2EUNCURRY(sK974,sK975,bool),
inference(resolution,[],[f29068,f14277]) ).
fof(f85280,plain,
c_2Eset__relation_2Ereln__to__rel(sK974,sK975) = c_2Epair_2ECURRY(sK974,sK975,bool),
inference(resolution,[],[f29166,f14277]) ).
fof(f276105,plain,
( ~ ne(sK975)
| ~ ne(bool)
| ~ ne(sK974)
| sK976 = ap(c_2Epair_2ECURRY(sK974,sK975,bool),ap(c_2Epair_2EUNCURRY(sK974,sK975,bool),sK976)) ),
inference(resolution,[],[f18610,f23206]) ).
fof(f276275,plain,
( ~ ne(bool)
| ~ ne(sK974)
| sK976 = ap(c_2Epair_2ECURRY(sK974,sK975,bool),ap(c_2Epair_2EUNCURRY(sK974,sK975,bool),sK976)) ),
inference(forward_subsumption_resolution,[],[f276105,f14276]) ).
fof(f276488,plain,
( ~ ne(sK974)
| sK976 = ap(c_2Epair_2ECURRY(sK974,sK975,bool),ap(c_2Epair_2EUNCURRY(sK974,sK975,bool),sK976)) ),
inference(forward_subsumption_resolution,[],[f276275,f7024]) ).
fof(f276621,plain,
sK976 = ap(c_2Epair_2ECURRY(sK974,sK975,bool),ap(c_2Epair_2EUNCURRY(sK974,sK975,bool),sK976)),
inference(forward_subsumption_resolution,[],[f276488,f14277]) ).
fof(f276631,plain,
sK976 = ap(c_2Epair_2ECURRY(sK974,sK975,bool),ap(c_2Eset__relation_2Erel__to__reln(sK974,sK975),sK976)),
inference(forward_demodulation,[],[f276621,f81555]) ).
fof(f276632,plain,
sK976 = ap(c_2Eset__relation_2Ereln__to__rel(sK974,sK975),ap(c_2Eset__relation_2Erel__to__reln(sK974,sK975),sK976)),
inference(forward_demodulation,[],[f276631,f85280]) ).
fof(f276633,plain,
$false,
inference(forward_subsumption_resolution,[],[f276632,f14275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP005+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n002.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 : Sun Sep 27 11:54:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 32.47/5.21 % (3403858)Will run a generic schedule for satisfiability detection.
% 32.47/5.21 % (3403866)dis+10_1_sil=32000:sp=arity:random_seed=619856381:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 32.47/5.21 % (3403864)% WARNING: option uhcvi not known.
% 32.47/5.21 % (3403863)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1558680000_2997 on theBenchmark for (2997ds/0Mi)
% 32.47/5.21 % (3403864)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2567857182:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 32.47/5.21 % (3403865)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=766171634:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 32.47/5.21 % (3403867)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=959100:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 32.47/5.21 % (3403868)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3795465384:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 32.47/5.21 % (3403869)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4197827383:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 32.47/5.21 % (3403866)Instruction limit reached!
% 32.47/5.21 % (3403866)------------------------------
% 32.47/5.21 % (3403866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.47/5.21 % (3403866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.47/5.21 % (3403866)CaDiCaL version: 2.1.3
% 32.47/5.21 % (3403866)Termination reason: Instruction limit
% 32.47/5.21 % (3403866)Termination phase: Preprocessing 3
% 32.47/5.21 % (3403866)Time elapsed: 0.040 s
% 32.47/5.21 % (3403866)Peak memory usage: 21 MB
% 32.47/5.21 % (3403866)Instructions burned: 104 (million)
% 32.47/5.21 % (3403877)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=901446887:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 32.47/5.21 % (3403867)Instruction limit reached!
% 32.47/5.21 % (3403867)------------------------------
% 32.47/5.21 % (3403867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.47/5.21 % (3403867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.47/5.21 % (3403867)CaDiCaL version: 2.1.3
% 32.47/5.21 % (3403867)Termination reason: Instruction limit
% 32.47/5.21 % (3403867)Termination phase: NewCNF
% 32.47/5.21 % (3403867)Time elapsed: 0.077 s
% 32.47/5.21 % (3403867)Peak memory usage: 22 MB
% 32.47/5.21 % (3403867)Instructions burned: 117 (million)
% 32.47/5.21 % (3403879)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1646989939:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 32.47/5.21 % (3403869)Instruction limit reached!
% 32.47/5.21 % (3403869)------------------------------
% 32.47/5.21 % (3403869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.47/5.21 % (3403869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.47/5.21 % (3403869)CaDiCaL version: 2.1.3
% 32.47/5.21 % (3403869)Termination reason: Instruction limit
% 32.47/5.21 % (3403869)Termination phase: Preprocessing 3
% 32.47/5.21 % (3403869)Time elapsed: 0.102 s
% 32.47/5.21 % (3403869)Peak memory usage: 23 MB
% 32.47/5.21 % (3403869)Instructions burned: 160 (million)
% 32.47/5.21 % (3403868)Instruction limit reached!
% 32.47/5.21 % (3403868)------------------------------
% 32.47/5.21 % (3403868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.47/5.21 % (3403868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.47/5.21 % (3403868)CaDiCaL version: 2.1.3
% 32.47/5.21 % (3403868)Termination reason: Instruction limit
% 32.47/5.21 % (3403868)Termination phase: Preprocessing 3
% 32.47/5.21 % (3403868)Time elapsed: 0.116 s
% 32.47/5.21 % (3403868)Peak memory usage: 22 MB
% 32.47/5.21 % (3403868)Instructions burned: 132 (million)
% 32.47/5.21 % (3403881)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=2967743589:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 32.47/5.21 % (3403882)ott-21_1_sil=16000:fs=off:random_seed=593338858:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 32.47/5.21 % (3403879)Instruction limit reached!
% 32.47/5.21 % (3403879)------------------------------
% 32.47/5.21 % (3403879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.47/5.21 % (3403879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.47/5.21 % (3403879)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403879)Termination reason: Instruction limit
% 59.66/9.07 % (3403879)Termination phase: Preprocessing 3
% 59.66/9.07 % (3403879)Time elapsed: 0.080 s
% 59.66/9.07 % (3403879)Peak memory usage: 22 MB
% 59.66/9.07 % (3403879)Instructions burned: 132 (million)
% 59.66/9.07 % (3403885)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3674064564:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 59.66/9.07 % (3403877)Instruction limit reached!
% 59.66/9.07 % (3403877)------------------------------
% 59.66/9.07 % (3403877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.66/9.07 % (3403877)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403877)Termination reason: Instruction limit
% 59.66/9.07 % (3403877)Termination phase: Finite model building preprocessing
% 59.66/9.07 % (3403877)Time elapsed: 0.192 s
% 59.66/9.07 % (3403877)Peak memory usage: 32 MB
% 59.66/9.07 % (3403877)Instructions burned: 715 (million)
% 59.66/9.07 % (3403887)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1713072443:fmbsr=1.3:i=865:ins=25_2994 on theBenchmark for (2994ds/865Mi)
% 59.66/9.07 % (3403882)Instruction limit reached!
% 59.66/9.07 % (3403882)------------------------------
% 59.66/9.07 % (3403882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.66/9.07 % (3403882)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403882)Termination reason: Instruction limit
% 59.66/9.07 % (3403882)Termination phase: Property scanning
% 59.66/9.07 % (3403882)Time elapsed: 0.134 s
% 59.66/9.07 % (3403882)Peak memory usage: 25 MB
% 59.66/9.07 % (3403882)Instructions burned: 181 (million)
% 59.66/9.07 % (3403889)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3579237055:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 59.66/9.07 % (3403885)Instruction limit reached!
% 59.66/9.07 % (3403885)------------------------------
% 59.66/9.07 % (3403885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.66/9.07 % (3403885)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403885)Termination reason: Instruction limit
% 59.66/9.07 % (3403885)Termination phase: Property scanning
% 59.66/9.07 % (3403885)Time elapsed: 0.225 s
% 59.66/9.07 % (3403885)Peak memory usage: 26 MB
% 59.66/9.07 % (3403885)Instructions burned: 478 (million)
% 59.66/9.07 % (3403881)Instruction limit reached!
% 59.66/9.07 % (3403881)------------------------------
% 59.66/9.07 % (3403881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.66/9.07 % (3403881)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403881)Termination reason: Instruction limit
% 59.66/9.07 % (3403881)Termination phase: Saturation
% 59.66/9.07 % (3403881)Time elapsed: 0.318 s
% 59.66/9.07 % (3403881)Peak memory usage: 27 MB
% 59.66/9.07 % (3403881)Instructions burned: 685 (million)
% 59.66/9.07 % (3403891)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2315157608:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 59.66/9.07 % (3403892)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=733419220:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 59.66/9.07 % (3403887)Instruction limit reached!
% 59.66/9.07 % (3403887)------------------------------
% 59.66/9.07 % (3403887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.66/9.07 % (3403887)CaDiCaL version: 2.1.3
% 59.66/9.07 % (3403887)Termination reason: Instruction limit
% 59.66/9.07 % (3403887)Termination phase: Finite model building preprocessing
% 59.66/9.07 % (3403887)Time elapsed: 0.223 s
% 59.66/9.07 % (3403887)Peak memory usage: 32 MB
% 59.66/9.07 % (3403887)Instructions burned: 869 (million)
% 59.66/9.07 % (3403900)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2661458120:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 59.66/9.07 % (3403900)Instruction limit reached!
% 59.66/9.07 % (3403900)------------------------------
% 59.66/9.07 % (3403900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.66/9.07 % (3403900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403900)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403900)Termination reason: Instruction limit
% 55.94/12.51 % (3403900)Termination phase: Saturation
% 55.94/12.51 % (3403900)Time elapsed: 0.223 s
% 55.94/12.51 % (3403900)Peak memory usage: 32 MB
% 55.94/12.51 % (3403900)Instructions burned: 883 (million)
% 55.94/12.51 % (3403902)fmb+10_1_sil=64000:random_seed=639148277:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 55.94/12.51 % (3403892)Instruction limit reached!
% 55.94/12.51 % (3403892)------------------------------
% 55.94/12.51 % (3403892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403892)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403892)Termination reason: Instruction limit
% 55.94/12.51 % (3403892)Termination phase: Saturation
% 55.94/12.51 % (3403892)Time elapsed: 0.337 s
% 55.94/12.51 % (3403892)Peak memory usage: 30 MB
% 55.94/12.51 % (3403892)Instructions burned: 693 (million)
% 55.94/12.51 % (3403904)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3444565464:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 55.94/12.51 % (3403891)Instruction limit reached!
% 55.94/12.51 % (3403891)------------------------------
% 55.94/12.51 % (3403891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403891)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403891)Termination reason: Instruction limit
% 55.94/12.51 % (3403891)Termination phase: Finite model building preprocessing
% 55.94/12.51 % (3403891)Time elapsed: 0.421 s
% 55.94/12.51 % (3403891)Peak memory usage: 32 MB
% 55.94/12.51 % (3403891)Instructions burned: 889 (million)
% 55.94/12.51 % (3403906)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=685887677:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 55.94/12.51 % (3403889)Instruction limit reached!
% 55.94/12.51 % (3403889)------------------------------
% 55.94/12.51 % (3403889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403889)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403889)Termination reason: Instruction limit
% 55.94/12.51 % (3403889)Termination phase: Saturation
% 55.94/12.51 % (3403889)Time elapsed: 0.696 s
% 55.94/12.51 % (3403889)Peak memory usage: 34 MB
% 55.94/12.51 % (3403889)Instructions burned: 1180 (million)
% 55.94/12.51 % (3403935)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1536001950:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 55.94/12.51 % (3403906)Instruction limit reached!
% 55.94/12.51 % (3403906)------------------------------
% 55.94/12.51 % (3403906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403906)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403906)Termination reason: Instruction limit
% 55.94/12.51 % (3403906)Termination phase: Finite model building preprocessing
% 55.94/12.51 % (3403906)Time elapsed: 0.767 s
% 55.94/12.51 % (3403906)Peak memory usage: 32 MB
% 55.94/12.51 % (3403906)Instructions burned: 920 (million)
% 55.94/12.51 % (3404019)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2117611551:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 55.94/12.51 % (3404019)Instruction limit reached!
% 55.94/12.51 % (3404019)------------------------------
% 55.94/12.51 % (3404019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3404019)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3404019)Termination reason: Instruction limit
% 55.94/12.51 % (3404019)Termination phase: Saturation
% 55.94/12.51 % (3404019)Time elapsed: 1.084 s
% 55.94/12.51 % (3404019)Peak memory usage: 29 MB
% 55.94/12.51 % (3404019)Instructions burned: 1472 (million)
% 55.94/12.51 % (3404087)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2485218515:i=6324_2969 on theBenchmark for (2969ds/6324Mi)
% 55.94/12.51 % TRYING [1]
% 55.94/12.51 % TRYING [2]
% 55.94/12.51 % (3403935)Instruction limit reached!
% 55.94/12.51 % (3403935)------------------------------
% 55.94/12.51 % (3403935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403935)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403935)Termination reason: Instruction limit
% 55.94/12.51 % (3403935)Termination phase: Saturation
% 55.94/12.51 % (3403935)Time elapsed: 3.494 s
% 55.94/12.51 % (3403935)Peak memory usage: 64 MB
% 55.94/12.51 % (3403935)Instructions burned: 5132 (million)
% 55.94/12.51 % (3404260)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3544663140:fmbsr=2.30978:i=2174_2952 on theBenchmark for (2952ds/2174Mi)
% 55.94/12.51 % (3403904)Cannot represent all propositional literals internally
% 55.94/12.51 % (3403904)Refutation not found, incomplete strategy
% 55.94/12.51 % (3403904)------------------------------
% 55.94/12.51 % (3403904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3403904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3403904)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3403904)Termination reason: Refutation not found, incomplete strategy
% 55.94/12.51 % (3403904)Time elapsed: 4.362 s
% 55.94/12.51 % (3403904)Peak memory usage: 121 MB
% 55.94/12.51 % (3403904)Instructions burned: 6725 (million)
% 55.94/12.51 % (3403904)------------------------------
% 55.94/12.51 % (3403904)------------------------------
% 55.94/12.51 % (3404262)ott-2_1_sil=16000:newcnf=on:random_seed=567112871:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2945 on theBenchmark for (2945ds/869Mi)
% 55.94/12.51 % TRYING [1]
% 55.94/12.51 % TRYING [2]
% 55.94/12.51 % (3404260)Instruction limit reached!
% 55.94/12.51 % (3404260)------------------------------
% 55.94/12.51 % (3404260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3404260)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3404260)Termination reason: Instruction limit
% 55.94/12.51 % (3404260)Termination phase: Finite model building preprocessing
% 55.94/12.51 % (3404260)Time elapsed: 1.042 s
% 55.94/12.51 % (3404260)Peak memory usage: 48 MB
% 55.94/12.51 % (3404260)Instructions burned: 2176 (million)
% 55.94/12.51 % (3404264)ott+10_1_sil=32000:tgt=ground:random_seed=2136837730:i=5114:av=off_2941 on theBenchmark for (2941ds/5114Mi)
% 55.94/12.51 % (3404262)Instruction limit reached!
% 55.94/12.51 % (3404262)------------------------------
% 55.94/12.51 % (3404262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3404262)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3404262)Termination reason: Instruction limit
% 55.94/12.51 % (3404262)Termination phase: Saturation
% 55.94/12.51 % (3404262)Time elapsed: 0.417 s
% 55.94/12.51 % (3404262)Peak memory usage: 30 MB
% 55.94/12.51 % (3404262)Instructions burned: 870 (million)
% 55.94/12.51 % (3404266)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1849474070:i=54282_2940 on theBenchmark for (2940ds/54282Mi)
% 55.94/12.51 % (3404087)Instruction limit reached!
% 55.94/12.51 % (3404087)------------------------------
% 55.94/12.51 % (3404087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3404087)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3404087)Termination reason: Instruction limit
% 55.94/12.51 % (3404087)Termination phase: Finite model building preprocessing
% 55.94/12.51 % (3404087)Time elapsed: 3.332 s
% 55.94/12.51 % (3404087)Peak memory usage: 83 MB
% 55.94/12.51 % (3404087)Instructions burned: 6324 (million)
% 55.94/12.51 % (3404268)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2301273952:i=3512:aac=none_2935 on theBenchmark for (2935ds/3512Mi)
% 55.94/12.51 % TRYING [3]
% 55.94/12.51 % (3404268)Instruction limit reached!
% 55.94/12.51 % (3404268)------------------------------
% 55.94/12.51 % (3404268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.51 % (3404268)CaDiCaL version: 2.1.3
% 55.94/12.51 % (3404268)Termination reason: Instruction limit
% 55.94/12.51 % (3404268)Termination phase: Saturation
% 55.94/12.51 % (3404268)Time elapsed: 1.822 s
% 55.94/12.51 % (3404268)Peak memory usage: 60 MB
% 55.94/12.51 % (3404268)Instructions burned: 3513 (million)
% 55.94/12.51 % (3404270)dis+21_1_sil=32000:sas=cadical:random_seed=397940907:i=3773:amm=off_2917 on theBenchmark for (2917ds/3773Mi)
% 55.94/12.51 % TRYING [3]
% 55.94/12.51 % (3404264)Instruction limit reached!
% 55.94/12.51 % (3404264)------------------------------
% 55.94/12.51 % (3404264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.51 % (3404264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3404264)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3404264)Termination reason: Instruction limit
% 55.94/12.52 % (3404264)Termination phase: Saturation
% 55.94/12.52 % (3404264)Time elapsed: 2.762 s
% 55.94/12.52 % (3404264)Peak memory usage: 95 MB
% 55.94/12.52 % (3404264)Instructions burned: 5114 (million)
% 55.94/12.52 % (3403902)Instruction limit reached!
% 55.94/12.52 % (3403902)------------------------------
% 55.94/12.52 % (3403902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.52 % (3403902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3403902)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3403902)Termination reason: Instruction limit
% 55.94/12.52 % (3403902)Termination phase: Finite model building constraint generation
% 55.94/12.52 % (3403902)Time elapsed: 7.684 s
% 55.94/12.52 % (3403902)Peak memory usage: 427 MB
% 55.94/12.52 % (3403902)Instructions burned: 22063 (million)
% 55.94/12.52 % (3404272)ott+11_1_sil=16000:gs=on:random_seed=1091106230:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2913 on theBenchmark for (2913ds/2251Mi)
% 55.94/12.52 % (3404274)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=131078487:fmbsr=1.6:i=67534_2912 on theBenchmark for (2912ds/67534Mi)
% 55.94/12.52 % (3404272)Instruction limit reached!
% 55.94/12.52 % (3404272)------------------------------
% 55.94/12.52 % (3404272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.52 % (3404272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3404272)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3404272)Termination reason: Instruction limit
% 55.94/12.52 % (3404272)Termination phase: Saturation
% 55.94/12.52 % (3404272)Time elapsed: 1.029 s
% 55.94/12.52 % (3404272)Peak memory usage: 34 MB
% 55.94/12.52 % (3404272)Instructions burned: 2251 (million)
% 55.94/12.52 % (3404276)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3245063558:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2902 on theBenchmark for (2902ds/4591Mi)
% 55.94/12.52 % (3404270)Instruction limit reached!
% 55.94/12.52 % (3404270)------------------------------
% 55.94/12.52 % (3404270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.52 % (3404270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3404270)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3404270)Termination reason: Instruction limit
% 55.94/12.52 % (3404270)Termination phase: Saturation
% 55.94/12.52 % (3404270)Time elapsed: 1.900 s
% 55.94/12.52 % (3404270)Peak memory usage: 64 MB
% 55.94/12.52 % (3404270)Instructions burned: 3775 (million)
% 55.94/12.52 % (3404278)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1280031192:i=29340_2898 on theBenchmark for (2898ds/29340Mi)
% 55.94/12.52 % TRYING [1]
% 55.94/12.52 % TRYING [2]
% 55.94/12.52 % (3404276)Instruction limit reached!
% 55.94/12.52 % (3404276)------------------------------
% 55.94/12.52 % (3404276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.52 % (3404276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3404276)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3404276)Termination reason: Instruction limit
% 55.94/12.52 % (3404276)Termination phase: Saturation
% 55.94/12.52 % (3404276)Time elapsed: 1.648 s
% 55.94/12.52 % (3404276)Peak memory usage: 31 MB
% 55.94/12.52 % (3404276)Instructions burned: 4593 (million)
% 55.94/12.52 % (3404280)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2281826179:i=5211_2886 on theBenchmark for (2886ds/5211Mi)
% 55.94/12.52 % (3403864) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3403858-3403864"...
% 55.94/12.52 % (3403864)...printing done.
% 55.94/12.52 % (3403864)Refutation found. Thanks to Tanya!
% 55.94/12.52 % SZS status Theorem for theBenchmark
% 55.94/12.52 % SZS output start Proof for theBenchmark
% See solution above
% 55.94/12.52 % (3403864)------------------------------
% 55.94/12.52 % (3403864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.94/12.52 % (3403864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.94/12.52 % (3403864)CaDiCaL version: 2.1.3
% 55.94/12.52 % (3403864)Termination reason: Refutation
% 55.94/12.52 % (3403864)Time elapsed: 11.657 s
% 55.94/12.52 % (3403864)Peak memory usage: 162 MB
% 55.94/12.52 % (3403864)Instructions burned: 20266 (million)
% 55.94/12.52 % (3403858)Success in time 12.089 s
% 55.94/12.52 % Vampire exiting
%------------------------------------------------------------------------------