%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM311+1 : TPTP v9.3.1. Released v3.1.0.
% 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 12:18:18 PM UTC 2026
% Result : Theorem 16.30s 3.52s
% Output : Refutation 16.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 20 unt; 2 def)
% Number of atoms : 115 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 46 ~; 51 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 87 ( 0 sgn 86 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(f287,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
fof(f293,axiom,
! [X0,X1,X2,X3] :
( ( sum(X0,X1,X2)
& sum(X0,X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_sum) ).
fof(f297,axiom,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
fof(f402,conjecture,
! [X0] :
( sum(n2,n3,X0)
=> X0 = n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_only_n5) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,n3,X0)
=> X0 = n5 ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f287]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f423]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(ennf_transformation,[],[f293]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3) ),
inference(flattening,[],[f435]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(ennf_transformation,[],[f297]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(flattening,[],[f441]) ).
fof(f450,plain,
? [X0] :
( n5 != X0
& sum(n2,n3,X0) ),
inference(ennf_transformation,[],[f403]) ).
fof(f453,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f456,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f424]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f436]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f778,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f805,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f855,plain,
sum(n2,n3,sK0),
inference(cnf_transformation,[],[f450]) ).
fof(f856,plain,
n5 != sK0,
inference(cnf_transformation,[],[f450]) ).
fof(f872,plain,
! [X2,X3,X0,X1,X4] :
( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(consistent_polarity_flipping,[],[f750]) ).
fof(f899,plain,
~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(consistent_polarity_flipping,[],[f778]) ).
fof(f926,plain,
~ rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(consistent_polarity_flipping,[],[f805]) ).
fof(f1108,plain,
! [X0] :
( ~ sum(n2,n3,X0)
| sK0 = X0 ),
inference(resolution,[],[f745,f855]) ).
fof(f1423,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rdn_translate(X6,rdn_pos(rdnn(X0)))
| rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X2)))
| ~ rdn_translate(X5,rdn_pos(rdnn(X1)))
| rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X2),rdnn(n0))
| sum(X6,X5,X4) ),
inference(resolution,[],[f872,f739]) ).
fof(f18040,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
| rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(X3),rdnn(n0))
| sum(n2,X4,X2) ),
inference(resolution,[],[f1423,f453]) ).
fof(f36710,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X2),rdnn(n0))
| rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X1),rdnn(n0))
| sum(n2,n3,X0) ),
inference(resolution,[],[f18040,f454]) ).
fof(f45446,definition,
( spl1_594
<=> ! [X0] :
( rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_594])],[avatar_definition]) ).
fof(f45447,plain,
( ! [X0] :
( rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0)) )
| ~ spl1_594 ),
inference(avatar_component_clause,[],[f45446]) ).
fof(f52918,definition,
( spl1_2210
<=> sum(n2,n3,n5) ),
introduced(definition,[new_symbols(definition,[spl1_2210])],[avatar_definition]) ).
fof(f52920,plain,
( sum(n2,n3,n5)
| ~ spl1_2210 ),
inference(avatar_component_clause,[],[f52918]) ).
fof(f85080,plain,
! [X0] :
( rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X0),rdnn(n0))
| rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n5),rdnn(n0))
| sum(n2,n3,n5) ),
inference(resolution,[],[f456,f36710]) ).
fof(f85243,plain,
( spl1_2210
| spl1_594 ),
inference(avatar_split_clause,[],[f85080,f45446,f52918]) ).
fof(f100503,plain,
( rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))
| ~ spl1_594 ),
inference(resolution,[],[f45447,f926]) ).
fof(f100504,plain,
( $false
| ~ spl1_594 ),
inference(forward_subsumption_resolution,[],[f100503,f899]) ).
fof(f100505,plain,
~ spl1_594,
inference(avatar_contradiction_clause,[],[f100504]) ).
fof(f100506,plain,
( n5 = sK0
| ~ spl1_2210 ),
inference(resolution,[],[f52920,f1108]) ).
fof(f100511,plain,
( $false
| ~ spl1_2210 ),
inference(forward_subsumption_resolution,[],[f100506,f856]) ).
fof(f100512,plain,
~ spl1_2210,
inference(avatar_contradiction_clause,[],[f100511]) ).
cnf(s4386,plain,
( spl1_594
| spl1_2210 ),
inference(sat_conversion,[],[f85243]) ).
cnf(s4946,plain,
~ spl1_594,
inference(sat_conversion,[],[f100505]) ).
cnf(s4947,plain,
~ spl1_2210,
inference(sat_conversion,[],[f100512]) ).
cnf(s4950,plain,
$false,
inference(rat,[],[s4386,s4947,s4946]) ).
fof(f100513,plain,
$false,
inference(avatar_sat_refutation,[],[s4950]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM311+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 19:31:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 14.72/2.59 % (2348806)Will run a generic schedule for satisfiability detection.
% 14.72/2.59 % (2348811)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3637782483_2999 on theBenchmark for (2999ds/0Mi)
% 14.72/2.59 % (2348812)% WARNING: option uhcvi not known.
% 14.72/2.59 % (2348813)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1987551001:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.72/2.59 % (2348812)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2390052194:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.72/2.59 % (2348814)dis+10_1_sil=32000:sp=arity:random_seed=927613952:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.72/2.59 % (2348815)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4094027147:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.72/2.59 % (2348817)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3335214042:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.72/2.59 % (2348816)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=59274665:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.72/2.59 % TRYING [1]
% 14.72/2.59 % TRYING [2]
% 14.72/2.59 % TRYING [3]
% 14.72/2.59 % (2348814)Instruction limit reached!
% 14.72/2.59 % (2348814)------------------------------
% 14.72/2.59 % (2348814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.59 % (2348814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.59 % (2348814)CaDiCaL version: 2.1.3
% 14.72/2.59 % (2348814)Termination reason: Instruction limit
% 14.72/2.59 % (2348814)Termination phase: Saturation
% 14.72/2.59 % (2348814)Time elapsed: 0.049 s
% 14.72/2.59 % (2348814)Peak memory usage: 13 MB
% 14.72/2.59 % (2348814)Instructions burned: 105 (million)
% 14.72/2.59 % TRYING [4]
% 14.72/2.59 % (2348815)Instruction limit reached!
% 14.72/2.59 % (2348815)------------------------------
% 14.72/2.59 % (2348815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.59 % (2348815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.59 % (2348815)CaDiCaL version: 2.1.3
% 14.72/2.59 % (2348815)Termination reason: Instruction limit
% 14.72/2.59 % (2348815)Termination phase: Saturation
% 14.72/2.59 % (2348815)Time elapsed: 0.061 s
% 14.72/2.59 % (2348815)Peak memory usage: 13 MB
% 14.72/2.59 % (2348815)Instructions burned: 116 (million)
% 14.72/2.59 % (2348816)Instruction limit reached!
% 14.72/2.59 % (2348816)------------------------------
% 14.72/2.59 % (2348816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.59 % (2348816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.59 % (2348816)CaDiCaL version: 2.1.3
% 14.72/2.59 % (2348816)Termination reason: Instruction limit
% 14.72/2.59 % (2348816)Termination phase: Saturation
% 14.72/2.59 % (2348816)Time elapsed: 0.062 s
% 14.72/2.59 % (2348816)Peak memory usage: 14 MB
% 14.72/2.59 % (2348816)Instructions burned: 133 (million)
% 14.72/2.59 % (2348825)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2331328361:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.72/2.59 % (2348817)Instruction limit reached!
% 14.72/2.59 % (2348817)------------------------------
% 14.72/2.59 % (2348817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.59 % (2348817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.59 % (2348817)CaDiCaL version: 2.1.3
% 14.72/2.59 % (2348817)Termination reason: Instruction limit
% 14.72/2.59 % (2348817)Termination phase: Saturation
% 14.72/2.59 % (2348817)Time elapsed: 0.075 s
% 14.72/2.59 % (2348817)Peak memory usage: 14 MB
% 14.72/2.59 % (2348817)Instructions burned: 160 (million)
% 14.72/2.59 % (2348826)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=148598336:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.72/2.59 % (2348827)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=1812769110:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.72/2.59 % (2348829)ott-21_1_sil=16000:fs=off:random_seed=3524857865:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.72/2.59 % TRYING [1]
% 14.72/2.59 % TRYING [2]
% 14.72/2.59 % TRYING [3]
% 14.72/2.59 % (2348826)Instruction limit reached!
% 14.72/2.59 % (2348826)------------------------------
% 14.72/2.59 % (2348826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.59 % (2348826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348826)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348826)Termination reason: Instruction limit
% 16.30/3.52 % (2348826)Termination phase: Saturation
% 16.30/3.52 % (2348826)Time elapsed: 0.067 s
% 16.30/3.52 % (2348826)Peak memory usage: 14 MB
% 16.30/3.52 % (2348826)Instructions burned: 133 (million)
% 16.30/3.52 % (2348833)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=75592806:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.30/3.52 % (2348829)Instruction limit reached!
% 16.30/3.52 % (2348829)------------------------------
% 16.30/3.52 % (2348829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348829)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348829)Termination reason: Instruction limit
% 16.30/3.52 % (2348829)Termination phase: Saturation
% 16.30/3.52 % (2348829)Time elapsed: 0.082 s
% 16.30/3.52 % (2348829)Peak memory usage: 13 MB
% 16.30/3.52 % (2348829)Instructions burned: 182 (million)
% 16.30/3.52 % (2348835)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2165322500:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.30/3.52 % TRYING [4]
% 16.30/3.52 % TRYING [1]
% 16.30/3.52 % TRYING [2]
% 16.30/3.52 % TRYING [5]
% 16.30/3.52 % TRYING [3]
% 16.30/3.52 % (2348825)Instruction limit reached!
% 16.30/3.52 % (2348825)------------------------------
% 16.30/3.52 % (2348825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348825)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348825)Termination reason: Instruction limit
% 16.30/3.52 % (2348825)Termination phase: Finite model building constraint generation
% 16.30/3.52 % (2348825)Time elapsed: 0.265 s
% 16.30/3.52 % (2348825)Peak memory usage: 38 MB
% 16.30/3.52 % (2348825)Instructions burned: 714 (million)
% 16.30/3.52 % (2348837)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2209591900:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 16.30/3.52 % (2348833)Instruction limit reached!
% 16.30/3.52 % (2348833)------------------------------
% 16.30/3.52 % (2348833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348833)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348833)Termination reason: Instruction limit
% 16.30/3.52 % (2348833)Termination phase: Saturation
% 16.30/3.52 % (2348833)Time elapsed: 0.256 s
% 16.30/3.52 % (2348833)Peak memory usage: 18 MB
% 16.30/3.52 % (2348833)Instructions burned: 477 (million)
% 16.30/3.52 % (2348839)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4159208836:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 16.30/3.52 % (2348827)Instruction limit reached!
% 16.30/3.52 % (2348827)------------------------------
% 16.30/3.52 % (2348827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348827)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348827)Termination reason: Instruction limit
% 16.30/3.52 % (2348827)Termination phase: Saturation
% 16.30/3.52 % (2348827)Time elapsed: 0.377 s
% 16.30/3.52 % (2348827)Peak memory usage: 22 MB
% 16.30/3.52 % (2348827)Instructions burned: 685 (million)
% 16.30/3.52 % (2348841)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=2764487487: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)
% 16.30/3.52 % TRYING [4]
% 16.30/3.52 % (2348835)Instruction limit reached!
% 16.30/3.52 % (2348835)------------------------------
% 16.30/3.52 % (2348835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348835)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348835)Termination reason: Instruction limit
% 16.30/3.52 % (2348835)Termination phase: Finite model building constraint generation
% 16.30/3.52 % (2348835)Time elapsed: 0.332 s
% 16.30/3.52 % (2348835)Peak memory usage: 24 MB
% 16.30/3.52 % (2348835)Instructions burned: 869 (million)
% 16.30/3.52 % (2348843)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1319186923:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.30/3.52 % (2348839)Instruction limit reached!
% 16.30/3.52 % (2348839)------------------------------
% 16.30/3.52 % (2348839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348839)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348839)Termination reason: Instruction limit
% 16.30/3.52 % (2348839)Termination phase: Finite model building constraint generation
% 16.30/3.52 % (2348839)Time elapsed: 0.415 s
% 16.30/3.52 % (2348839)Peak memory usage: 106 MB
% 16.30/3.52 % (2348839)Instructions burned: 890 (million)
% 16.30/3.52 % (2348841)Instruction limit reached!
% 16.30/3.52 % (2348841)------------------------------
% 16.30/3.52 % (2348841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348841)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348841)Termination reason: Instruction limit
% 16.30/3.52 % (2348841)Termination phase: Saturation
% 16.30/3.52 % (2348841)Time elapsed: 0.377 s
% 16.30/3.52 % (2348841)Peak memory usage: 25 MB
% 16.30/3.52 % (2348841)Instructions burned: 693 (million)
% 16.30/3.52 % (2348845)fmb+10_1_sil=64000:random_seed=1971943991:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 16.30/3.52 % (2348846)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2496326968:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.30/3.52 % TRYING [1]
% 16.30/3.52 % TRYING [2]
% 16.30/3.52 % TRYING [20]
% 16.30/3.52 % (2348843)Instruction limit reached!
% 16.30/3.52 % (2348843)------------------------------
% 16.30/3.52 % (2348843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348843)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348843)Termination reason: Instruction limit
% 16.30/3.52 % (2348843)Termination phase: Saturation
% 16.30/3.52 % (2348843)Time elapsed: 0.391 s
% 16.30/3.52 % (2348843)Peak memory usage: 24 MB
% 16.30/3.52 % (2348843)Instructions burned: 882 (million)
% 16.30/3.52 % (2348849)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1303977138:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 16.30/3.52 % (2348837)Instruction limit reached!
% 16.30/3.52 % (2348837)------------------------------
% 16.30/3.52 % (2348837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348837)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348837)Termination reason: Instruction limit
% 16.30/3.52 % (2348837)Termination phase: Saturation
% 16.30/3.52 % (2348837)Time elapsed: 0.616 s
% 16.30/3.52 % (2348837)Peak memory usage: 35 MB
% 16.30/3.52 % (2348837)Instructions burned: 1179 (million)
% 16.30/3.52 % TRYING [3]
% 16.30/3.52 % TRYING [8]
% 16.30/3.52 % (2348851)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2087745811:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 16.30/3.52 % TRYING [6]
% 16.30/3.52 % (2348849)Instruction limit reached!
% 16.30/3.52 % (2348849)------------------------------
% 16.30/3.52 % (2348849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348849)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348849)Termination reason: Instruction limit
% 16.30/3.52 % (2348849)Termination phase: Finite model building constraint generation
% 16.30/3.52 % (2348849)Time elapsed: 0.314 s
% 16.30/3.52 % (2348849)Peak memory usage: 68 MB
% 16.30/3.52 % (2348849)Instructions burned: 922 (million)
% 16.30/3.52 % TRYING [4]
% 16.30/3.52 % (2348853)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3040986973:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 16.30/3.52 % (2348853)Instruction limit reached!
% 16.30/3.52 % (2348853)------------------------------
% 16.30/3.52 % (2348853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348853)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348853)Termination reason: Instruction limit
% 16.30/3.52 % (2348853)Termination phase: Saturation
% 16.30/3.52 % (2348853)Time elapsed: 0.770 s
% 16.30/3.52 % (2348853)Peak memory usage: 30 MB
% 16.30/3.52 % (2348853)Instructions burned: 1472 (million)
% 16.30/3.52 % (2348855)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1410870834:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 16.30/3.52 % (2348855)Cannot represent all propositional literals internally
% 16.30/3.52 % (2348855)Refutation not found, incomplete strategy
% 16.30/3.52 % (2348855)------------------------------
% 16.30/3.52 % (2348855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348855)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348855)Termination reason: Refutation not found, incomplete strategy
% 16.30/3.52 % (2348855)Time elapsed: 0.033 s
% 16.30/3.52 % (2348855)Peak memory usage: 12 MB
% 16.30/3.52 % (2348855)Instructions burned: 72 (million)
% 16.30/3.52 % (2348855)------------------------------
% 16.30/3.52 % (2348855)------------------------------
% 16.30/3.52 % (2348857)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4015128080:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 16.30/3.52 % TRYING [16]
% 16.30/3.52 % (2348857)Instruction limit reached!
% 16.30/3.52 % (2348857)------------------------------
% 16.30/3.52 % (2348857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348857)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348857)Termination reason: Instruction limit
% 16.30/3.52 % (2348857)Termination phase: Finite model building constraint generation
% 16.30/3.52 % (2348857)Time elapsed: 0.741 s
% 16.30/3.52 % (2348857)Peak memory usage: 127 MB
% 16.30/3.52 % (2348857)Instructions burned: 2175 (million)
% 16.30/3.52 % (2348859)ott-2_1_sil=16000:newcnf=on:random_seed=929690365:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 16.30/3.52 % (2348812) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2348806-2348812"...
% 16.30/3.52 % (2348812)...printing done.
% 16.30/3.52 % (2348812)Refutation found. Thanks to Tanya!
% 16.30/3.52 % SZS status Theorem for theBenchmark
% 16.30/3.52 % SZS output start Proof for theBenchmark
% See solution above
% 16.30/3.52 % (2348812)------------------------------
% 16.30/3.52 % (2348812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/3.52 % (2348812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/3.52 % (2348812)CaDiCaL version: 2.1.3
% 16.30/3.52 % (2348812)Termination reason: Refutation
% 16.30/3.52 % (2348812)Time elapsed: 2.985 s
% 16.30/3.52 % (2348812)Peak memory usage: 69 MB
% 16.30/3.52 % (2348812)Instructions burned: 6519 (million)
% 16.30/3.52 % (2348806)Success in time 3.1 s
% 16.30/3.52 % Vampire exiting
%------------------------------------------------------------------------------