%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN065+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 : n009.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 8.64s 3.75s
% Output : Refutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 10 unt; 1 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 192 ( 89 ~; 88 |; 14 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-1 aty)
% Number of variables : 116 ( 0 sgn 110 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
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] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X3] :
( ~ id(X0,X3)
| ~ r1(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexistid) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X3] :
( ~ id(X0,X3)
| ~ r1(X3) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& id(X0,X1) )
| ? [X3] :
( id(X0,X3)
& r1(X3) ) ),
inference(ennf_transformation,[],[f20]) ).
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(sK21(X0))
& r2(sK21(X0),sK20(X0))
& id(X0,sK20(X0)) )
| ( id(X0,sK22(X0))
& r1(sK22(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0))],[f21]) ).
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(f50,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
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(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
! [X0] :
( id(X0,sK20(X0))
| id(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f93,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| id(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f94,plain,
! [X0] :
( r1(sK21(X0))
| r1(sK22(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X0] :
( id(X0,sK22(X0))
| r1(sK21(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f284,plain,
! [X0] : r2(X0,sK1(X0)),
inference(resolution,[],[f36,f48]) ).
fof(f371,plain,
! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0) ),
inference(resolution,[],[f284,f89]) ).
fof(f399,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X1) ),
inference(resolution,[],[f39,f371]) ).
fof(f401,plain,
! [X0,X1] :
( id(sK1(X0),X1)
| ~ r2(X0,X1) ),
inference(resolution,[],[f39,f49]) ).
fof(f409,plain,
! [X0] :
( ~ r1(sK20(X0))
| id(X0,sK22(X0)) ),
inference(resolution,[],[f399,f93]) ).
fof(f462,plain,
! [X0] :
( ~ r1(X0)
| r1(sK20(X0))
| id(X0,sK22(X0)) ),
inference(resolution,[],[f53,f91]) ).
fof(f643,plain,
! [X0] :
( id(X0,sK22(X0))
| ~ r1(X0) ),
inference(global_subsumption,[],[f462,f409]) ).
fof(f684,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0)
| r1(sK22(X0)) ),
inference(resolution,[],[f643,f53]) ).
fof(f687,plain,
! [X0] :
( r1(sK22(X0))
| ~ r1(X0) ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f1124,plain,
! [X0,X1] :
( id(X0,sK22(X1))
| ~ id(X0,X1)
| ~ r1(X1) ),
inference(resolution,[],[f50,f643]) ).
fof(f1584,plain,
! [X0,X1] :
( id(sK22(X1),X0)
| ~ r1(X1)
| ~ id(X0,X1) ),
inference(resolution,[],[f1124,f49]) ).
fof(f2382,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ id(sK1(X1),X0)
| ~ r1(sK22(X0)) ),
inference(resolution,[],[f1584,f371]) ).
fof(f2402,plain,
! [X0,X1] :
( ~ id(sK1(X1),X0)
| ~ r1(X0) ),
inference(forward_subsumption_resolution,[],[f2382,f687]) ).
fof(f33961,plain,
! [X0,X1] :
( id(X1,sK22(X0))
| r1(sK21(X0))
| ~ id(X1,X0) ),
inference(resolution,[],[f95,f50]) ).
fof(f35074,plain,
! [X0,X1] :
( r1(sK21(X0))
| ~ id(sK1(X1),X0)
| ~ r1(sK22(X0)) ),
inference(resolution,[],[f33961,f2402]) ).
fof(f35113,plain,
! [X0,X1] :
( ~ id(sK1(X1),X0)
| r1(sK21(X0)) ),
inference(forward_subsumption_resolution,[],[f35074,f94]) ).
fof(f35214,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| r1(sK21(X0)) ),
inference(resolution,[],[f35113,f401]) ).
fof(f86253,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| id(X2,sK22(X2)) ),
inference(resolution,[],[f77,f93]) ).
fof(f91931,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| id(X1,sK22(X1))
| id(X1,sK22(X1)) ),
inference(resolution,[],[f86253,f91]) ).
fof(f92013,plain,
! [X0,X1] :
( id(X1,sK22(X1))
| id(X0,sK21(X1))
| ~ r2(X0,X1) ),
inference(duplicate_literal_removal,[],[f91931]) ).
fof(f103808,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK22(X0))
| r1(X0) ),
inference(resolution,[],[f92013,f52]) ).
fof(f104012,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0)
| ~ r1(sK22(X0)) ),
inference(forward_subsumption_resolution,[],[f103808,f399]) ).
fof(f104793,plain,
! [X2,X0,X1] :
( ~ id(X2,sK20(X0))
| ~ r2(X1,X2)
| r1(sK22(X0))
| id(X1,sK21(X0)) ),
inference(resolution,[],[f92,f77]) ).
fof(f114098,definition,
( spl23_440
<=> ! [X0,X1] : ~ r2(sK1(X0),X1) ),
introduced(definition,[new_symbols(definition,[spl23_440])],[avatar_definition]) ).
fof(f114099,plain,
( ! [X0,X1] : ~ r2(sK1(X0),X1)
| ~ spl23_440 ),
inference(avatar_component_clause,[],[f114098]) ).
fof(f114105,plain,
( $false
| ~ spl23_440 ),
inference(resolution,[],[f114099,f284]) ).
fof(f114114,plain,
~ spl23_440,
inference(avatar_contradiction_clause,[],[f114105]) ).
fof(f115141,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| r1(sK22(X1))
| id(X0,sK21(X1))
| r1(sK22(X1)) ),
inference(resolution,[],[f104793,f90]) ).
fof(f115201,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| r1(sK22(X1))
| id(X0,sK21(X1)) ),
inference(duplicate_literal_removal,[],[f115141]) ).
fof(f139761,plain,
! [X0,X1] :
( id(X1,sK21(X0))
| ~ r2(X1,X0) ),
inference(global_subsumption,[],[f115201,f104012]) ).
fof(f140154,plain,
! [X0,X1] :
( ~ r2(sK1(X0),X1)
| ~ r1(sK21(X1)) ),
inference(resolution,[],[f139761,f2402]) ).
fof(f140181,plain,
! [X0,X1] : ~ r2(sK1(X0),X1),
inference(forward_subsumption_resolution,[],[f140154,f35214]) ).
fof(f140186,plain,
spl23_440,
inference(avatar_split_clause,[],[f140181,f114098]) ).
cnf(s33945,plain,
~ spl23_440,
inference(sat_conversion,[],[f114114]) ).
cnf(s41994,plain,
spl23_440,
inference(sat_conversion,[],[f140186]) ).
cnf(s41995,plain,
$false,
inference(rat,[],[s33945,s41994]) ).
fof(f140187,plain,
$false,
inference(avatar_sat_refutation,[],[s41995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN065+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.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 : Sun Sep 27 21:53:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 15.48/2.62 % (2437634)Will run a generic schedule for satisfiability detection.
% 15.48/2.62 % (2437641)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=862763130:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.48/2.62 % (2437640)% WARNING: option uhcvi not known.
% 15.48/2.62 % (2437639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1326008457_2999 on theBenchmark for (2999ds/0Mi)
% 15.48/2.62 % (2437640)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3277306700:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.48/2.62 % (2437642)dis+10_1_sil=32000:sp=arity:random_seed=2142554339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.48/2.62 % (2437645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3256002459:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.48/2.62 % (2437643)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=277931125:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.48/2.62 % (2437644)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1203378137:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.48/2.62 % TRYING [1]
% 15.48/2.62 % TRYING [2]
% 15.48/2.62 % TRYING [3]
% 15.48/2.62 % TRYING [4]
% 15.48/2.62 % TRYING [5]
% 15.48/2.62 % TRYING [6]
% 15.48/2.62 % (2437642)Instruction limit reached!
% 15.48/2.62 % (2437642)------------------------------
% 15.48/2.62 % (2437642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.62 % (2437642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.62 % (2437642)CaDiCaL version: 2.1.3
% 15.48/2.62 % (2437642)Termination reason: Instruction limit
% 15.48/2.62 % (2437642)Termination phase: Saturation
% 15.48/2.62 % (2437642)Time elapsed: 0.060 s
% 15.48/2.62 % (2437642)Peak memory usage: 12 MB
% 15.48/2.62 % (2437642)Instructions burned: 103 (million)
% 15.48/2.62 % (2437643)Instruction limit reached!
% 15.48/2.62 % (2437643)------------------------------
% 15.48/2.62 % (2437643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.62 % (2437643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.62 % (2437643)CaDiCaL version: 2.1.3
% 15.48/2.62 % (2437643)Termination reason: Instruction limit
% 15.48/2.62 % (2437643)Termination phase: Saturation
% 15.48/2.62 % (2437643)Time elapsed: 0.068 s
% 15.48/2.62 % (2437643)Peak memory usage: 12 MB
% 15.48/2.62 % (2437643)Instructions burned: 116 (million)
% 15.48/2.62 % (2437644)Instruction limit reached!
% 15.48/2.62 % (2437644)------------------------------
% 15.48/2.62 % (2437644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.62 % (2437644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.62 % (2437644)CaDiCaL version: 2.1.3
% 15.48/2.62 % (2437644)Termination reason: Instruction limit
% 15.48/2.62 % (2437644)Termination phase: Saturation
% 15.48/2.62 % (2437644)Time elapsed: 0.077 s
% 15.48/2.62 % (2437644)Peak memory usage: 12 MB
% 15.48/2.62 % (2437644)Instructions burned: 131 (million)
% 15.48/2.62 % (2437653)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2353196561:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.48/2.62 % TRYING [7]
% 15.48/2.62 % TRYING [1]
% 15.48/2.62 % TRYING [2]
% 15.48/2.62 % TRYING [3]
% 15.48/2.62 % (2437654)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=77314862:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.48/2.62 % TRYING [4]
% 15.48/2.62 % (2437655)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=1960734413:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.48/2.62 % (2437645)Instruction limit reached!
% 15.48/2.62 % (2437645)------------------------------
% 15.48/2.62 % (2437645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.48/2.62 % (2437645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.48/2.62 % (2437645)CaDiCaL version: 2.1.3
% 15.48/2.62 % (2437645)Termination reason: Instruction limit
% 15.48/2.62 % (2437645)Termination phase: Saturation
% 15.48/2.62 % (2437645)Time elapsed: 0.107 s
% 15.48/2.62 % (2437645)Peak memory usage: 14 MB
% 15.48/2.62 % (2437645)Instructions burned: 159 (million)
% 15.48/2.62 % (2437659)ott-21_1_sil=16000:fs=off:random_seed=1044350904:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.48/2.62 % TRYING [5]
% 15.48/2.62 % TRYING [8]
% 15.48/2.62 % (2437654)Instruction limit reached!
% 15.48/2.62 % (2437654)------------------------------
% 15.48/2.62 % (2437654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437654)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437654)Termination reason: Instruction limit
% 8.64/3.75 % (2437654)Termination phase: Saturation
% 8.64/3.75 % (2437654)Time elapsed: 0.077 s
% 8.64/3.75 % (2437654)Peak memory usage: 12 MB
% 8.64/3.75 % (2437654)Instructions burned: 131 (million)
% 8.64/3.75 % (2437661)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2041136773:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.64/3.75 % (2437659)Instruction limit reached!
% 8.64/3.75 % (2437659)------------------------------
% 8.64/3.75 % (2437659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437659)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437659)Termination reason: Instruction limit
% 8.64/3.75 % (2437659)Termination phase: Saturation
% 8.64/3.75 % (2437659)Time elapsed: 0.091 s
% 8.64/3.75 % (2437659)Peak memory usage: 13 MB
% 8.64/3.75 % (2437659)Instructions burned: 180 (million)
% 8.64/3.75 % (2437663)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1508500146:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.64/3.75 % TRYING [1]
% 8.64/3.75 % TRYING [2]
% 8.64/3.75 % TRYING [3]
% 8.64/3.75 % TRYING [4]
% 8.64/3.75 % TRYING [5]
% 8.64/3.75 % TRYING [9]
% 8.64/3.75 % TRYING [6]
% 8.64/3.75 % TRYING [6]
% 8.64/3.75 % (2437653)Instruction limit reached!
% 8.64/3.75 % (2437653)------------------------------
% 8.64/3.75 % (2437653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437653)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437653)Termination reason: Instruction limit
% 8.64/3.75 % (2437653)Termination phase: Finite model building constraint generation
% 8.64/3.75 % (2437653)Time elapsed: 0.270 s
% 8.64/3.75 % (2437653)Peak memory usage: 41 MB
% 8.64/3.75 % (2437653)Instructions burned: 716 (million)
% 8.64/3.75 % TRYING [7]
% 8.64/3.75 % (2437665)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1955307989:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.64/3.75 % TRYING [10]
% 8.64/3.75 % (2437655)Instruction limit reached!
% 8.64/3.75 % (2437655)------------------------------
% 8.64/3.75 % (2437655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437655)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437655)Termination reason: Instruction limit
% 8.64/3.75 % (2437655)Termination phase: Saturation
% 8.64/3.75 % (2437655)Time elapsed: 0.377 s
% 8.64/3.75 % (2437655)Peak memory usage: 17 MB
% 8.64/3.75 % (2437655)Instructions burned: 685 (million)
% 8.64/3.75 % (2437667)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=185025888:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.64/3.75 % (2437661)Instruction limit reached!
% 8.64/3.75 % (2437661)------------------------------
% 8.64/3.75 % (2437661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437661)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437661)Termination reason: Instruction limit
% 8.64/3.75 % (2437661)Termination phase: Saturation
% 8.64/3.75 % (2437661)Time elapsed: 0.314 s
% 8.64/3.75 % (2437661)Peak memory usage: 17 MB
% 8.64/3.75 % (2437661)Instructions burned: 478 (million)
% 8.64/3.75 % TRYING [8]
% 8.64/3.75 % (2437669)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=2090944228: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)
% 8.64/3.75 % TRYING [14]
% 8.64/3.75 % (2437663)Instruction limit reached!
% 8.64/3.75 % (2437663)------------------------------
% 8.64/3.75 % (2437663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437663)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437663)Termination reason: Instruction limit
% 8.64/3.75 % (2437663)Termination phase: Finite model building constraint generation
% 8.64/3.75 % (2437663)Time elapsed: 0.292 s
% 8.64/3.75 % (2437663)Peak memory usage: 22 MB
% 8.64/3.75 % (2437663)Instructions burned: 867 (million)
% 8.64/3.75 % (2437671)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=793172019:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.64/3.75 % TRYING [11]
% 8.64/3.75 % (2437667)Instruction limit reached!
% 8.64/3.75 % (2437667)------------------------------
% 8.64/3.75 % (2437667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437667)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437667)Termination reason: Instruction limit
% 8.64/3.75 % (2437667)Termination phase: Finite model building constraint generation
% 8.64/3.75 % (2437667)Time elapsed: 0.317 s
% 8.64/3.75 % (2437667)Peak memory usage: 67 MB
% 8.64/3.75 % (2437667)Instructions burned: 889 (million)
% 8.64/3.75 % (2437673)fmb+10_1_sil=64000:random_seed=3566346435:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.64/3.75 % TRYING [1]
% 8.64/3.75 % TRYING [2]
% 8.64/3.75 % TRYING [3]
% 8.64/3.75 % TRYING [4]
% 8.64/3.75 % TRYING [5]
% 8.64/3.75 % (2437669)Instruction limit reached!
% 8.64/3.75 % (2437669)------------------------------
% 8.64/3.75 % (2437669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437669)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437669)Termination reason: Instruction limit
% 8.64/3.75 % (2437669)Termination phase: Saturation
% 8.64/3.75 % (2437669)Time elapsed: 0.416 s
% 8.64/3.75 % (2437669)Peak memory usage: 18 MB
% 8.64/3.75 % (2437669)Instructions burned: 692 (million)
% 8.64/3.75 % (2437675)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3633790669:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.64/3.75 % TRYING [20]
% 8.64/3.75 % (2437671)Instruction limit reached!
% 8.64/3.75 % (2437671)------------------------------
% 8.64/3.75 % (2437671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437671)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437671)Termination reason: Instruction limit
% 8.64/3.75 % (2437671)Termination phase: Saturation
% 8.64/3.75 % (2437671)Time elapsed: 0.485 s
% 8.64/3.75 % (2437671)Peak memory usage: 17 MB
% 8.64/3.75 % (2437671)Instructions burned: 879 (million)
% 8.64/3.75 % (2437677)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3279071409:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.64/3.75 % TRYING [8]
% 8.64/3.75 % (2437665)Instruction limit reached!
% 8.64/3.75 % (2437665)------------------------------
% 8.64/3.75 % (2437665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437665)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437665)Termination reason: Instruction limit
% 8.64/3.75 % (2437665)Termination phase: Saturation
% 8.64/3.75 % (2437665)Time elapsed: 0.700 s
% 8.64/3.75 % (2437665)Peak memory usage: 20 MB
% 8.64/3.75 % (2437665)Instructions burned: 1179 (million)
% 8.64/3.75 % TRYING [6]
% 8.64/3.75 % (2437679)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3116683248:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.64/3.75 % TRYING [12]
% 8.64/3.75 % TRYING [9]
% 8.64/3.75 % TRYING [10]
% 8.64/3.75 % (2437677)Instruction limit reached!
% 8.64/3.75 % (2437677)------------------------------
% 8.64/3.75 % (2437677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437677)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437677)Termination reason: Instruction limit
% 8.64/3.75 % (2437677)Termination phase: Finite model building constraint generation
% 8.64/3.75 % (2437677)Time elapsed: 0.343 s
% 8.64/3.75 % (2437677)Peak memory usage: 45 MB
% 8.64/3.75 % (2437677)Instructions burned: 923 (million)
% 8.64/3.75 % (2437681)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=15653765:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 8.64/3.75 % TRYING [7]
% 8.64/3.75 % TRYING [13]
% 8.64/3.75 % (2437681)Instruction limit reached!
% 8.64/3.75 % (2437681)------------------------------
% 8.64/3.75 % (2437681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437681)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437681)Termination reason: Instruction limit
% 8.64/3.75 % (2437681)Termination phase: Saturation
% 8.64/3.75 % (2437681)Time elapsed: 0.750 s
% 8.64/3.75 % (2437681)Peak memory usage: 27 MB
% 8.64/3.75 % (2437681)Instructions burned: 1472 (million)
% 8.64/3.75 % (2437683)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=664319700:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 8.64/3.75 % TRYING [77]
% 8.64/3.75 % TRYING [14]
% 8.64/3.75 % TRYING [8]
% 8.64/3.75 % (2437641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2437634-2437641"...
% 8.64/3.75 % (2437641)...printing done.
% 8.64/3.75 % (2437641)Refutation found. Thanks to Tanya!
% 8.64/3.75 % SZS status Theorem for theBenchmark
% 8.64/3.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.64/3.75 % (2437641)------------------------------
% 8.64/3.75 % (2437641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/3.75 % (2437641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/3.75 % (2437641)CaDiCaL version: 2.1.3
% 8.64/3.75 % (2437641)Termination reason: Refutation
% 8.64/3.75 % (2437641)Time elapsed: 3.253 s
% 8.64/3.75 % (2437641)Peak memory usage: 60 MB
% 8.64/3.75 % (2437641)Instructions burned: 12418 (million)
% 8.64/3.75 % (2437634)Success in time 3.341 s
% 8.64/3.75 % Vampire exiting
%------------------------------------------------------------------------------