%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:27:01 PM UTC 2026
% Result : Theorem 12.50s 4.95s
% Output : Refutation 12.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 10 unt; 1 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 182 ( 82 ~; 79 |; 20 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 102 ( 0 sgn 94 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(f8,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(f14,axiom,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r2(X0,X3) )
| ~ r2(X1,X2) )
| id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(f19,conjecture,
? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexistid) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,X1) )
& id(X0,X1) )
| ? [X4] :
( id(X0,X4)
& r1(X4) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X1] :
( ( id(X1,sK0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f23,plain,
! [X0,X2] :
( ( id(X2,sK1(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f31,plain,
! [X0] :
( ( r1(sK22(X0))
& r2(sK22(X0),sK21(X0))
& r2(sK21(X0),sK20(X0))
& id(X0,sK20(X0)) )
| ( id(X0,sK23(X0))
& r1(sK23(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0))],[f21]) ).
fof(f32,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X0] :
( id(X2,sK1(X0))
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2)
| id(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0] :
( id(X0,sK20(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
! [X0] :
( id(X0,sK20(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f93,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f94,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f310,plain,
! [X0] : r2(X0,sK1(X0)),
inference(resolution,[],[f36,f48]) ).
fof(f397,plain,
! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0) ),
inference(resolution,[],[f310,f89]) ).
fof(f425,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X1) ),
inference(resolution,[],[f39,f397]) ).
fof(f437,plain,
! [X0] :
( ~ r1(sK21(X0))
| id(X0,sK23(X0)) ),
inference(resolution,[],[f425,f95]) ).
fof(f37124,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| r1(sK23(X2)) ),
inference(resolution,[],[f77,f92]) ).
fof(f37125,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| id(X2,sK23(X2)) ),
inference(resolution,[],[f77,f93]) ).
fof(f39715,plain,
! [X1] :
( id(X1,sK23(X1))
| ~ r1(sK21(X1)) ),
inference(global_subsumption,[],[f437]) ).
fof(f67677,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| id(X1,sK23(X1))
| id(X1,sK23(X1)) ),
inference(resolution,[],[f37125,f91]) ).
fof(f67772,plain,
! [X0,X1] :
( id(X1,sK23(X1))
| id(X0,sK21(X1))
| ~ r2(X0,X1) ),
inference(duplicate_literal_removal,[],[f67677]) ).
fof(f106697,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK23(X0))
| r1(X0) ),
inference(resolution,[],[f67772,f52]) ).
fof(f106822,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK23(X0)) ),
inference(forward_subsumption_resolution,[],[f106697,f425]) ).
fof(f108522,definition,
( spl24_486
<=> ! [X0] : ~ r2(sK0,X0) ),
introduced(definition,[new_symbols(definition,[spl24_486])],[avatar_definition]) ).
fof(f108523,plain,
( ! [X0] : ~ r2(sK0,X0)
| ~ spl24_486 ),
inference(avatar_component_clause,[],[f108522]) ).
fof(f108535,plain,
( $false
| ~ spl24_486 ),
inference(resolution,[],[f108523,f310]) ).
fof(f108548,plain,
~ spl24_486,
inference(avatar_contradiction_clause,[],[f108535]) ).
fof(f109408,plain,
! [X0] :
( id(sK23(X0),X0)
| ~ r1(sK21(X0)) ),
inference(resolution,[],[f39715,f49]) ).
fof(f110678,plain,
! [X0,X1] :
( ~ id(X1,sK21(X0))
| ~ r1(X1)
| r1(sK23(X0)) ),
inference(resolution,[],[f94,f89]) ).
fof(f110881,plain,
! [X0] :
( ~ r1(sK21(X0))
| r1(sK23(X0)) ),
inference(resolution,[],[f110678,f48]) ).
fof(f121468,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| r1(sK23(X1))
| r1(sK23(X1)) ),
inference(resolution,[],[f37124,f90]) ).
fof(f121537,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| r1(sK23(X1)) ),
inference(duplicate_literal_removal,[],[f121468]) ).
fof(f129619,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0) ),
inference(global_subsumption,[],[f121537,f106822]) ).
fof(f129885,plain,
! [X0,X1] :
( id(sK21(X1),X0)
| ~ r2(X0,X1) ),
inference(resolution,[],[f129619,f49]) ).
fof(f130134,plain,
! [X0] :
( ~ r1(sK21(X0))
| ~ r1(sK23(X0))
| r1(X0) ),
inference(resolution,[],[f109408,f53]) ).
fof(f130201,plain,
! [X0] :
( ~ r1(sK21(X0))
| r1(X0) ),
inference(forward_subsumption_resolution,[],[f130134,f110881]) ).
fof(f130217,plain,
! [X0] :
( ~ r2(sK0,X0)
| r1(sK21(X0)) ),
inference(resolution,[],[f129885,f32]) ).
fof(f130275,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(sK21(X1)) ),
inference(global_subsumption,[],[f130201,f425]) ).
fof(f130457,plain,
! [X0] : ~ r2(sK0,X0),
inference(forward_subsumption_resolution,[],[f130217,f130275]) ).
fof(f130458,plain,
spl24_486,
inference(avatar_split_clause,[],[f130457,f108522]) ).
cnf(s33471,plain,
~ spl24_486,
inference(sat_conversion,[],[f108548]) ).
cnf(s41608,plain,
spl24_486,
inference(sat_conversion,[],[f130458]) ).
cnf(s41613,plain,
$false,
inference(rat,[],[s33471,s41608]) ).
fof(f130459,plain,
$false,
inference(avatar_sat_refutation,[],[s41613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n010.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 21:54:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 15.41/2.60 % (1348828)Will run a generic schedule for satisfiability detection.
% 15.41/2.60 % (1348835)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2506466761:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.41/2.60 % (1348834)% WARNING: option uhcvi not known.
% 15.41/2.60 % (1348833)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3061436676_2999 on theBenchmark for (2999ds/0Mi)
% 15.41/2.60 % (1348834)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2861777141:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.41/2.60 % (1348836)dis+10_1_sil=32000:sp=arity:random_seed=2008039505:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.41/2.60 % (1348838)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=871377048:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.41/2.60 % (1348837)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3137577750:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.41/2.60 % (1348839)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=353336872:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.41/2.60 % TRYING [1]
% 15.41/2.60 % TRYING [2]
% 15.41/2.60 % TRYING [3]
% 15.41/2.60 % TRYING [4]
% 15.41/2.60 % TRYING [5]
% 15.41/2.60 % TRYING [6]
% 15.41/2.60 % (1348836)Instruction limit reached!
% 15.41/2.60 % (1348836)------------------------------
% 15.41/2.60 % (1348836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.41/2.60 % (1348836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/2.60 % (1348836)CaDiCaL version: 2.1.3
% 15.41/2.60 % (1348836)Termination reason: Instruction limit
% 15.41/2.60 % (1348836)Termination phase: Saturation
% 15.41/2.60 % (1348836)Time elapsed: 0.059 s
% 15.41/2.60 % (1348836)Peak memory usage: 12 MB
% 15.41/2.60 % (1348836)Instructions burned: 104 (million)
% 15.41/2.60 % (1348837)Instruction limit reached!
% 15.41/2.60 % (1348837)------------------------------
% 15.41/2.60 % (1348837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.41/2.60 % (1348837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/2.60 % (1348837)CaDiCaL version: 2.1.3
% 15.41/2.60 % (1348837)Termination reason: Instruction limit
% 15.41/2.60 % (1348837)Termination phase: Saturation
% 15.41/2.60 % (1348837)Time elapsed: 0.068 s
% 15.41/2.60 % (1348837)Peak memory usage: 12 MB
% 15.41/2.60 % (1348837)Instructions burned: 116 (million)
% 15.41/2.60 % (1348838)Instruction limit reached!
% 15.41/2.60 % (1348838)------------------------------
% 15.41/2.60 % (1348838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.41/2.60 % (1348838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/2.60 % (1348838)CaDiCaL version: 2.1.3
% 15.41/2.60 % (1348838)Termination reason: Instruction limit
% 15.41/2.60 % (1348838)Termination phase: Saturation
% 15.41/2.60 % (1348838)Time elapsed: 0.077 s
% 15.41/2.60 % (1348838)Peak memory usage: 12 MB
% 15.41/2.60 % (1348838)Instructions burned: 134 (million)
% 15.41/2.60 % (1348847)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2360068207:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.41/2.60 % TRYING [7]
% 15.41/2.60 % TRYING [1]
% 15.41/2.60 % TRYING [2]
% 15.41/2.60 % TRYING [3]
% 15.41/2.60 % (1348848)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=570954569:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.41/2.60 % TRYING [4]
% 15.41/2.60 % (1348849)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=1261974320:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.41/2.60 % (1348839)Instruction limit reached!
% 15.41/2.60 % (1348839)------------------------------
% 15.41/2.60 % (1348839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.41/2.60 % (1348839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/2.60 % (1348839)CaDiCaL version: 2.1.3
% 15.41/2.60 % (1348839)Termination reason: Instruction limit
% 15.41/2.60 % (1348839)Termination phase: Saturation
% 15.41/2.60 % (1348839)Time elapsed: 0.100 s
% 15.41/2.60 % (1348839)Peak memory usage: 13 MB
% 15.41/2.60 % (1348839)Instructions burned: 160 (million)
% 15.41/2.60 % (1348853)ott-21_1_sil=16000:fs=off:random_seed=2164622551:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.41/2.60 % TRYING [5]
% 15.41/2.60 % TRYING [8]
% 15.41/2.60 % (1348848)Instruction limit reached!
% 15.41/2.60 % (1348848)------------------------------
% 15.41/2.60 % (1348848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348848)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348848)Termination reason: Instruction limit
% 12.50/4.95 % (1348848)Termination phase: Saturation
% 12.50/4.95 % (1348848)Time elapsed: 0.075 s
% 12.50/4.95 % (1348848)Peak memory usage: 12 MB
% 12.50/4.95 % (1348848)Instructions burned: 131 (million)
% 12.50/4.95 % (1348855)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1143013721:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.50/4.95 % (1348853)Instruction limit reached!
% 12.50/4.95 % (1348853)------------------------------
% 12.50/4.95 % (1348853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348853)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348853)Termination reason: Instruction limit
% 12.50/4.95 % (1348853)Termination phase: Saturation
% 12.50/4.95 % (1348853)Time elapsed: 0.088 s
% 12.50/4.95 % (1348853)Peak memory usage: 13 MB
% 12.50/4.95 % (1348853)Instructions burned: 180 (million)
% 12.50/4.95 % (1348857)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2280739092:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.50/4.95 % TRYING [1]
% 12.50/4.95 % TRYING [2]
% 12.50/4.95 % TRYING [3]
% 12.50/4.95 % TRYING [4]
% 12.50/4.95 % TRYING [5]
% 12.50/4.95 % TRYING [9]
% 12.50/4.95 % TRYING [6]
% 12.50/4.95 % TRYING [6]
% 12.50/4.95 % (1348847)Instruction limit reached!
% 12.50/4.95 % (1348847)------------------------------
% 12.50/4.95 % (1348847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348847)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348847)Termination reason: Instruction limit
% 12.50/4.95 % (1348847)Termination phase: Finite model building constraint generation
% 12.50/4.95 % (1348847)Time elapsed: 0.270 s
% 12.50/4.95 % (1348847)Peak memory usage: 41 MB
% 12.50/4.95 % (1348847)Instructions burned: 717 (million)
% 12.50/4.95 % TRYING [7]
% 12.50/4.95 % (1348859)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=422509249:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.50/4.95 % TRYING [10]
% 12.50/4.95 % (1348849)Instruction limit reached!
% 12.50/4.95 % (1348849)------------------------------
% 12.50/4.95 % (1348849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348849)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348849)Termination reason: Instruction limit
% 12.50/4.95 % (1348849)Termination phase: Saturation
% 12.50/4.95 % (1348849)Time elapsed: 0.375 s
% 12.50/4.95 % (1348849)Peak memory usage: 17 MB
% 12.50/4.95 % (1348849)Instructions burned: 684 (million)
% 12.50/4.95 % (1348861)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=109970315:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.50/4.95 % TRYING [8]
% 12.50/4.95 % (1348855)Instruction limit reached!
% 12.50/4.95 % (1348855)------------------------------
% 12.50/4.95 % (1348855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348855)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348855)Termination reason: Instruction limit
% 12.50/4.95 % (1348855)Termination phase: Saturation
% 12.50/4.95 % (1348855)Time elapsed: 0.317 s
% 12.50/4.95 % (1348855)Peak memory usage: 15 MB
% 12.50/4.95 % (1348855)Instructions burned: 477 (million)
% 12.50/4.95 % (1348857)Instruction limit reached!
% 12.50/4.95 % (1348857)------------------------------
% 12.50/4.95 % (1348857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348857)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348857)Termination reason: Instruction limit
% 12.50/4.95 % (1348857)Termination phase: Finite model building constraint generation
% 12.50/4.95 % (1348857)Time elapsed: 0.291 s
% 12.50/4.95 % (1348857)Peak memory usage: 21 MB
% 12.50/4.95 % (1348857)Instructions burned: 868 (million)
% 12.50/4.95 % (1348863)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=1529286079:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 12.50/4.95 % TRYING [14]
% 12.50/4.95 % (1348865)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2571566799:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 12.50/4.95 % TRYING [11]
% 12.50/4.95 % (1348861)Instruction limit reached!
% 12.50/4.95 % (1348861)------------------------------
% 12.50/4.95 % (1348861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348861)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348861)Termination reason: Instruction limit
% 12.50/4.95 % (1348861)Termination phase: Finite model building constraint generation
% 12.50/4.95 % (1348861)Time elapsed: 0.320 s
% 12.50/4.95 % (1348861)Peak memory usage: 67 MB
% 12.50/4.95 % (1348861)Instructions burned: 890 (million)
% 12.50/4.95 % (1348867)fmb+10_1_sil=64000:random_seed=2767021180:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 12.50/4.95 % TRYING [1]
% 12.50/4.95 % TRYING [2]
% 12.50/4.95 % TRYING [3]
% 12.50/4.95 % TRYING [4]
% 12.50/4.95 % TRYING [5]
% 12.50/4.95 % (1348863)Instruction limit reached!
% 12.50/4.95 % (1348863)------------------------------
% 12.50/4.95 % (1348863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348863)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348863)Termination reason: Instruction limit
% 12.50/4.95 % (1348863)Termination phase: Saturation
% 12.50/4.95 % (1348863)Time elapsed: 0.413 s
% 12.50/4.95 % (1348863)Peak memory usage: 19 MB
% 12.50/4.95 % (1348863)Instructions burned: 692 (million)
% 12.50/4.95 % (1348869)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4046206513:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.50/4.95 % TRYING [20]
% 12.50/4.95 % (1348865)Instruction limit reached!
% 12.50/4.95 % (1348865)------------------------------
% 12.50/4.95 % (1348865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348865)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348865)Termination reason: Instruction limit
% 12.50/4.95 % (1348865)Termination phase: Saturation
% 12.50/4.95 % (1348865)Time elapsed: 0.468 s
% 12.50/4.95 % (1348865)Peak memory usage: 18 MB
% 12.50/4.95 % (1348865)Instructions burned: 879 (million)
% 12.50/4.95 % (1348871)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3211832665:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.50/4.95 % TRYING [8]
% 12.50/4.95 % (1348859)Instruction limit reached!
% 12.50/4.95 % (1348859)------------------------------
% 12.50/4.95 % (1348859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348859)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348859)Termination reason: Instruction limit
% 12.50/4.95 % (1348859)Termination phase: Saturation
% 12.50/4.95 % (1348859)Time elapsed: 0.690 s
% 12.50/4.95 % (1348859)Peak memory usage: 20 MB
% 12.50/4.95 % (1348859)Instructions burned: 1180 (million)
% 12.50/4.95 % (1348873)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2235833261:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 12.50/4.95 % TRYING [6]
% 12.50/4.95 % TRYING [12]
% 12.50/4.95 % TRYING [9]
% 12.50/4.95 % TRYING [10]
% 12.50/4.95 % (1348871)Instruction limit reached!
% 12.50/4.95 % (1348871)------------------------------
% 12.50/4.95 % (1348871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348871)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348871)Termination reason: Instruction limit
% 12.50/4.95 % (1348871)Termination phase: Finite model building constraint generation
% 12.50/4.95 % (1348871)Time elapsed: 0.341 s
% 12.50/4.95 % (1348871)Peak memory usage: 46 MB
% 12.50/4.95 % (1348871)Instructions burned: 921 (million)
% 12.50/4.95 % (1348875)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2852686296:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 12.50/4.95 % TRYING [7]
% 12.50/4.95 % TRYING [13]
% 12.50/4.95 % (1348875)Instruction limit reached!
% 12.50/4.95 % (1348875)------------------------------
% 12.50/4.95 % (1348875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348875)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348875)Termination reason: Instruction limit
% 12.50/4.95 % (1348875)Termination phase: Saturation
% 12.50/4.95 % (1348875)Time elapsed: 0.744 s
% 12.50/4.95 % (1348875)Peak memory usage: 27 MB
% 12.50/4.95 % (1348875)Instructions burned: 1473 (million)
% 12.50/4.95 % (1348877)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1258066646:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 12.50/4.95 % TRYING [77]
% 12.50/4.95 % TRYING [14]
% 12.50/4.95 % TRYING [8]
% 12.50/4.95 % TRYING [15]
% 12.50/4.95 % (1348873)Instruction limit reached!
% 12.50/4.95 % (1348873)------------------------------
% 12.50/4.95 % (1348873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348873)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348873)Termination reason: Instruction limit
% 12.50/4.95 % (1348873)Termination phase: Saturation
% 12.50/4.95 % (1348873)Time elapsed: 2.656 s
% 12.50/4.95 % (1348873)Peak memory usage: 27 MB
% 12.50/4.95 % (1348873)Instructions burned: 5135 (million)
% 12.50/4.95 % (1348879)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=321560659:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 12.50/4.95 % TRYING [16]
% 12.50/4.95 % (1348835) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1348828-1348835"...
% 12.50/4.95 % (1348835)...printing done.
% 12.50/4.95 % (1348877)Instruction limit reached!
% 12.50/4.95 % (1348877)------------------------------
% 12.50/4.95 % (1348877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.95 % (1348877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.95 % (1348877)CaDiCaL version: 2.1.3
% 12.50/4.95 % (1348877)Termination reason: Instruction limit
% 12.50/4.95 % (1348877)Termination phase: Finite model building constraint generation
% 12.50/4.95 % (1348877)Time elapsed: 2.242 s
% 12.50/4.95 % (1348877)Peak memory usage: 437 MB
% 12.50/4.95 % (1348877)Instructions burned: 6326 (million)
% 12.50/4.95 % (1348835)Refutation found. Thanks to Tanya!
% 12.50/4.95 % SZS status Theorem for theBenchmark
% 12.50/4.95 % SZS output start Proof for theBenchmark
% See solution above
% 12.50/4.96 % (1348835)------------------------------
% 12.50/4.96 % (1348835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/4.96 % (1348835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/4.96 % (1348835)CaDiCaL version: 2.1.3
% 12.50/4.96 % (1348835)Termination reason: Refutation
% 12.50/4.96 % (1348835)Time elapsed: 4.415 s
% 12.50/4.96 % (1348835)Peak memory usage: 95 MB
% 12.50/4.96 % (1348835)Instructions burned: 14426 (million)
% 12.50/4.96 % (1348828)Success in time 4.525 s
% 12.50/4.96 % Vampire exiting
%------------------------------------------------------------------------------