%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM325+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:12:10 PM UTC 2026
% Result : Theorem 2.31s 1.17s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 67 ( 30 unt; 4 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 219 ( 113 ~; 93 |; 6 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 104 ( 0 sgn 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f290,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_neg(X4))
& rdn_positive_less(X4,X3)
& rdn_add_with_carry(rdnn(n0),X4,X5,X3)
& rdn_translate(X2,rdn_pos(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_neg_2) ).
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/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f402,conjecture,
? [X0] : sum(X0,nn2,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_what_nn2_n3) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(X0,nn2,n3),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f406,plain,
! [X0] : ~ sum(X0,nn2,n3),
inference(ennf_transformation,[],[f403]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X4,X3)
| ~ rdn_add_with_carry(rdnn(n0),X4,X5,X3)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f290]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X4,X3)
| ~ rdn_add_with_carry(rdnn(n0),X4,X5,X3)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f417]) ).
fof(f433,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f434,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f433]) ).
fof(f444,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(f445,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,[],[f444]) ).
fof(f453,plain,
! [X0] : ~ sum(X0,nn2,n3),
inference(cnf_transformation,[],[f406]) ).
fof(f476,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f481,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f482,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f483,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f489,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X4,X5,X3)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_positive_less(X4,X3)
| sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f418]) ).
fof(f493,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f554,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f563,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f575,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f586,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(cnf_transformation,[],[f434]) ).
fof(f597,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f445]) ).
fof(f653,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X4,X5,X6)
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X3)))
| ~ rdn_translate(X5,rdn_neg(rdnn(X0)))
| ~ rdn_positive_less(rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X6,rdn_pos(rdnn(X1))) ),
inference(resolution,[],[f597,f489]) ).
fof(f696,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_positive_less(rdnn(X3),rdnn(X1))
| ~ rdn_translate(X2,rdn_pos(rdnn(X1)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X3)))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X0),rdnn(n0))
| ~ rdn_translate(n3,rdn_pos(rdnn(X4))) ),
inference(resolution,[],[f653,f453]) ).
fof(f697,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X5))
| ~ rdn_positive_less(rdnn(X5),rdnn(X1))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X3),rdnn(n0))
| ~ rdn_translate(n3,rdn_pos(rdnn(X4)))
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X2))) ),
inference(resolution,[],[f696,f586]) ).
fof(f754,definition,
( spl1_15
<=> ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5))) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f755,plain,
( ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f771,definition,
( spl1_20
<=> rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f772,plain,
( ~ rdn_translate(nn2,rdn_neg(rdnn(n2)))
| spl1_20 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f787,plain,
( $false
| spl1_20 ),
inference(resolution,[],[f772,f493]) ).
fof(f788,plain,
spl1_20,
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f798,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_translate(n3,rdn_pos(rdnn(X2)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f697,f554]) ).
fof(f821,definition,
( spl1_29
<=> ! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X2)))
| ~ rdn_digit_add(rdnn(X0),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_29])],[avatar_definition]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X2)))
| ~ rdn_digit_add(rdnn(X0),rdnn(X2),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) )
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f823,plain,
( spl1_15
| spl1_29 ),
inference(avatar_split_clause,[],[f798,f821,f754]) ).
fof(f851,plain,
( $false
| ~ spl1_15 ),
inference(resolution,[],[f755,f575]) ).
fof(f852,plain,
~ spl1_15,
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f870,plain,
( ! [X2,X3,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(X3))
| ~ rdn_positive_less(rdnn(X3),rdnn(n4))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1))) )
| ~ spl1_29 ),
inference(resolution,[],[f822,f586]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n3))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1))) )
| ~ spl1_29 ),
inference(resolution,[],[f870,f481]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X0))) )
| ~ spl1_29 ),
inference(resolution,[],[f909,f482]) ).
fof(f948,definition,
( spl1_40
<=> ! [X0,X1] :
( ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(n3,rdn_pos(rdnn(X0)))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_40])],[avatar_definition]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ rdn_translate(n3,rdn_pos(rdnn(X0)))
| ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n5),rdnn(n0)) )
| ~ spl1_40 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f950,plain,
( ~ spl1_20
| spl1_40
| ~ spl1_29 ),
inference(avatar_split_clause,[],[f946,f821,f948,f771]) ).
fof(f952,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_40 ),
inference(resolution,[],[f949,f483]) ).
fof(f954,plain,
( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))
| ~ spl1_40 ),
inference(resolution,[],[f952,f563]) ).
fof(f956,plain,
( $false
| ~ spl1_40 ),
inference(resolution,[],[f954,f476]) ).
fof(f957,plain,
~ spl1_40,
inference(avatar_contradiction_clause,[],[f956]) ).
cnf(s9,plain,
spl1_20,
inference(sat_conversion,[],[f788]) ).
cnf(s14,plain,
( spl1_15
| spl1_29 ),
inference(sat_conversion,[],[f823]) ).
cnf(s23,plain,
~ spl1_15,
inference(sat_conversion,[],[f852]) ).
cnf(s34,plain,
( ~ spl1_20
| ~ spl1_29
| spl1_40 ),
inference(sat_conversion,[],[f950]) ).
cnf(s38,plain,
~ spl1_40,
inference(sat_conversion,[],[f957]) ).
cnf(s39,plain,
( ~ spl1_20
| ~ spl1_29 ),
inference(rat,[],[s34,s38]) ).
cnf(s48,plain,
spl1_29,
inference(rat,[],[s14,s23]) ).
cnf(s49,plain,
~ spl1_20,
inference(rat,[],[s39,s48]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s9,s49]) ).
fof(f958,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM325+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.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 19:33:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/1.17 % (117543)Detected formulas, will run a generic FOF schedule.
% 2.31/1.17 % (117554)dis-21_1_sil=8000:lcm=predicate:random_seed=503496340:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.31/1.17 % (117554)First to succeed.
% 2.31/1.17 % (117554)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-117543"
% 2.31/1.17 % (117551)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=548939266:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.31/1.17 % (117548)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1187915126:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.31/1.17 % (117552)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1637904559:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.31/1.17 % (117550)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3609680664:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.31/1.17 % (117549)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=647171221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.31/1.17 % (117553)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3303627519:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.31/1.17 % (117552)Refutation not found, incomplete strategy
% 2.31/1.17 % (117552)------------------------------
% 2.31/1.17 % (117552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.17 % (117552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.17 % (117552)CaDiCaL version: 2.1.3
% 2.31/1.17 % (117551)Refutation not found, incomplete strategy
% 2.31/1.17 % (117551)------------------------------
% 2.31/1.17 % (117551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.17 % (117552)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.17 % (117552)Time elapsed: 0.002 s
% 2.31/1.17 % (117552)Peak memory usage: 87 MB
% 2.31/1.17 % (117551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.17 % (117552)Instructions burned: 2 (million)
% 2.31/1.17 % (117551)CaDiCaL version: 2.1.3
% 2.31/1.17 % (117551)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.17 % (117551)Time elapsed: 0.002 s
% 2.31/1.17 % (117551)Peak memory usage: 88 MB
% 2.31/1.17 % (117551)Instructions burned: 2 (million)
% 2.31/1.17 % (117553)Instruction limit reached!
% 2.31/1.17 % (117553)------------------------------
% 2.31/1.17 % (117553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.17 % (117553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.17 % (117553)CaDiCaL version: 2.1.3
% 2.31/1.17 % (117553)Termination reason: Instruction limit
% 2.31/1.17 % (117553)Termination phase: Saturation
% 2.31/1.17 % (117553)Time elapsed: 0.077 s
% 2.31/1.17 % (117553)Peak memory usage: 89 MB
% 2.31/1.17 % (117553)Instructions burned: 140 (million)
% 2.31/1.17 % (117554)Refutation found. Thanks to Tanya!
% 2.31/1.17 % SZS status Theorem for theBenchmark
% 2.31/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.36 % (117554)------------------------------
% 2.76/1.36 % (117554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.36 % (117554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.36 % (117554)CaDiCaL version: 2.1.3
% 2.76/1.36 % (117554)Termination reason: Refutation
% 2.76/1.36 % (117554)Time elapsed: 0.009 s
% 2.76/1.36 % (117554)Peak memory usage: 89 MB
% 2.76/1.36 % (117554)Instructions burned: 27 (million)
% 2.76/1.36 % (117554)------------------------------
% 2.76/1.36 % (117554)------------------------------
% 2.76/1.36 % (117543)Success in time 0.319 s
% 2.76/1.36 % Vampire exiting
%------------------------------------------------------------------------------