%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM321+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 : n018.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 12:18:19 PM UTC 2026
% Result : Theorem 7.05s 1.59s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 26 unt; 2 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 70 ~; 58 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 81 ( 0 sgn 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',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/sandbox/benchmark/Axioms/NUM005+1.ax',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/sandbox/benchmark/Axioms/NUM005+2.ax',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/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(n5,nn2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn2_what) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n5,nn2,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f405,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(f406,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,[],[f405]) ).
fof(f429,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(f430,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,[],[f429]) ).
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] : ~ sum(n5,nn2,X0),
inference(ennf_transformation,[],[f403]) ).
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(f580,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f718,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f719,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f720,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f725,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,[],[f406]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_add_with_carry(rdnn(n0),X4,X5,X3)
| ~ rdn_positive_less(X4,X3)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f430]) ).
fof(f750,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,[],[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,
! [X0] : ~ sum(n5,nn2,X0),
inference(cnf_transformation,[],[f450]) ).
fof(f1167,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X3,rdn_pos(X1))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(nn2,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X2))
| ~ rdn_positive_less(X0,X2) ),
inference(resolution,[],[f742,f855]) ).
fof(f1177,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_positive_less(rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n5,rdn_pos(rdnn(X3)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f750,f1167]) ).
fof(f4501,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f1177,f805]) ).
fof(f4522,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X1)))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0))) ),
inference(forward_subsumption_resolution,[],[f4501,f456]) ).
fof(f4561,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
inference(resolution,[],[f4522,f778]) ).
fof(f4566,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f4561,f580]) ).
fof(f4576,definition,
( spl0_30
<=> rdn_positive_less(rdnn(n2),rdnn(n5)) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f4578,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| spl0_30 ),
inference(avatar_component_clause,[],[f4576]) ).
fof(f4580,definition,
( spl0_31
<=> ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f4581,plain,
( ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f4580]) ).
fof(f4582,plain,
( ~ spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f4566,f4580,f4576]) ).
fof(f4583,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) )
| spl0_30 ),
inference(resolution,[],[f4578,f725]) ).
fof(f4586,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n4))
| spl0_30 ),
inference(resolution,[],[f4583,f720]) ).
fof(f4587,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n4)) )
| spl0_30 ),
inference(resolution,[],[f4586,f725]) ).
fof(f4590,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n3))
| spl0_30 ),
inference(resolution,[],[f4587,f719]) ).
fof(f4591,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f4590,f718]) ).
fof(f4592,plain,
spl0_30,
inference(avatar_contradiction_clause,[],[f4591]) ).
fof(f4597,plain,
( $false
| ~ spl0_31 ),
inference(resolution,[],[f4581,f454]) ).
fof(f4598,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f4597]) ).
cnf(s27,plain,
( ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f4582]) ).
cnf(s28,plain,
spl0_30,
inference(sat_conversion,[],[f4592]) ).
cnf(s29,plain,
~ spl0_31,
inference(sat_conversion,[],[f4598]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s27,s29,s28]) ).
fof(f4599,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM321+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 19:35:24 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 7.05/1.59 % (2678374)Will run a generic schedule for satisfiability detection.
% 7.05/1.59 % (2678380)% WARNING: option uhcvi not known.
% 7.05/1.59 % (2678379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2079930884_2999 on theBenchmark for (2999ds/0Mi)
% 7.05/1.59 % (2678382)dis+10_1_sil=32000:sp=arity:random_seed=2650078225:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.05/1.59 % (2678381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3104748856:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.05/1.59 % (2678383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1825001272:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.05/1.59 % (2678384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1203734646:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.05/1.59 % (2678385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2000633052:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.05/1.59 % (2678380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2010266663:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.05/1.59 % TRYING [1]
% 7.05/1.59 % TRYING [2]
% 7.05/1.59 % (2678382)Instruction limit reached!
% 7.05/1.59 % (2678382)------------------------------
% 7.05/1.59 % (2678382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678382)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678382)Termination reason: Instruction limit
% 7.05/1.59 % (2678382)Termination phase: Saturation
% 7.05/1.59 % (2678382)Time elapsed: 0.049 s
% 7.05/1.59 % (2678382)Peak memory usage: 13 MB
% 7.05/1.59 % (2678382)Instructions burned: 105 (million)
% 7.05/1.59 % TRYING [3]
% 7.05/1.59 % (2678384)Instruction limit reached!
% 7.05/1.59 % (2678384)------------------------------
% 7.05/1.59 % (2678384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678384)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678384)Termination reason: Instruction limit
% 7.05/1.59 % (2678384)Termination phase: Saturation
% 7.05/1.59 % (2678384)Time elapsed: 0.062 s
% 7.05/1.59 % (2678384)Peak memory usage: 14 MB
% 7.05/1.59 % (2678384)Instructions burned: 132 (million)
% 7.05/1.59 % (2678383)Instruction limit reached!
% 7.05/1.59 % (2678383)------------------------------
% 7.05/1.59 % (2678383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678383)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678383)Termination reason: Instruction limit
% 7.05/1.59 % (2678383)Termination phase: Saturation
% 7.05/1.59 % (2678383)Time elapsed: 0.063 s
% 7.05/1.59 % (2678383)Peak memory usage: 13 MB
% 7.05/1.59 % (2678383)Instructions burned: 117 (million)
% 7.05/1.59 % (2678393)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1645028103:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.05/1.59 % (2678385)Instruction limit reached!
% 7.05/1.59 % (2678385)------------------------------
% 7.05/1.59 % (2678385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678385)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678385)Termination reason: Instruction limit
% 7.05/1.59 % (2678385)Termination phase: Saturation
% 7.05/1.59 % (2678385)Time elapsed: 0.077 s
% 7.05/1.59 % (2678385)Peak memory usage: 14 MB
% 7.05/1.59 % (2678385)Instructions burned: 161 (million)
% 7.05/1.59 % (2678394)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4013057367:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.05/1.59 % (2678395)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=4258627888:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.05/1.59 % (2678397)ott-21_1_sil=16000:fs=off:random_seed=3945627145:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.05/1.59 % TRYING [1]
% 7.05/1.59 % TRYING [2]
% 7.05/1.59 % TRYING [4]
% 7.05/1.59 % TRYING [3]
% 7.05/1.59 % (2678394)Instruction limit reached!
% 7.05/1.59 % (2678394)------------------------------
% 7.05/1.59 % (2678394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678394)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678394)Termination reason: Instruction limit
% 7.05/1.59 % (2678394)Termination phase: Saturation
% 7.05/1.59 % (2678394)Time elapsed: 0.065 s
% 7.05/1.59 % (2678394)Peak memory usage: 14 MB
% 7.05/1.59 % (2678394)Instructions burned: 133 (million)
% 7.05/1.59 % (2678401)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2718245108:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.05/1.59 % (2678397)Instruction limit reached!
% 7.05/1.59 % (2678397)------------------------------
% 7.05/1.59 % (2678397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678397)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678397)Termination reason: Instruction limit
% 7.05/1.59 % (2678397)Termination phase: Saturation
% 7.05/1.59 % (2678397)Time elapsed: 0.083 s
% 7.05/1.59 % (2678397)Peak memory usage: 12 MB
% 7.05/1.59 % (2678397)Instructions burned: 182 (million)
% 7.05/1.59 % (2678403)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=964810845:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.05/1.59 % TRYING [4]
% 7.05/1.59 % TRYING [1]
% 7.05/1.59 % TRYING [2]
% 7.05/1.59 % TRYING [3]
% 7.05/1.59 % (2678393)Instruction limit reached!
% 7.05/1.59 % (2678393)------------------------------
% 7.05/1.59 % (2678393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678393)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678393)Termination reason: Instruction limit
% 7.05/1.59 % (2678393)Termination phase: Finite model building constraint generation
% 7.05/1.59 % (2678393)Time elapsed: 0.268 s
% 7.05/1.59 % (2678393)Peak memory usage: 38 MB
% 7.05/1.59 % (2678393)Instructions burned: 714 (million)
% 7.05/1.59 % (2678405)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=665600924:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.05/1.59 % (2678401)Instruction limit reached!
% 7.05/1.59 % (2678401)------------------------------
% 7.05/1.59 % (2678401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678401)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678401)Termination reason: Instruction limit
% 7.05/1.59 % (2678401)Termination phase: Saturation
% 7.05/1.59 % (2678401)Time elapsed: 0.246 s
% 7.05/1.59 % (2678401)Peak memory usage: 17 MB
% 7.05/1.59 % (2678401)Instructions burned: 477 (million)
% 7.05/1.59 % (2678395)Instruction limit reached!
% 7.05/1.59 % (2678395)------------------------------
% 7.05/1.59 % (2678395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678395)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678395)Termination reason: Instruction limit
% 7.05/1.59 % (2678395)Termination phase: Saturation
% 7.05/1.59 % (2678395)Time elapsed: 0.342 s
% 7.05/1.59 % (2678395)Peak memory usage: 21 MB
% 7.05/1.59 % (2678395)Instructions burned: 685 (million)
% 7.05/1.59 % (2678407)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=655738221:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.05/1.59 % (2678408)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=177964075:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.05/1.59 % TRYING [5]
% 7.05/1.59 % TRYING [4]
% 7.05/1.59 % (2678403)Instruction limit reached!
% 7.05/1.59 % (2678403)------------------------------
% 7.05/1.59 % (2678403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678403)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678403)Termination reason: Instruction limit
% 7.05/1.59 % (2678403)Termination phase: Finite model building constraint generation
% 7.05/1.59 % (2678403)Time elapsed: 0.326 s
% 7.05/1.59 % (2678403)Peak memory usage: 24 MB
% 7.05/1.59 % (2678403)Instructions burned: 866 (million)
% 7.05/1.59 % (2678411)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3994016087:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.05/1.59 % (2678408)Instruction limit reached!
% 7.05/1.59 % (2678408)------------------------------
% 7.05/1.59 % (2678408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678408)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678408)Termination reason: Instruction limit
% 7.05/1.59 % (2678408)Termination phase: Saturation
% 7.05/1.59 % (2678408)Time elapsed: 0.364 s
% 7.05/1.59 % (2678408)Peak memory usage: 24 MB
% 7.05/1.59 % (2678408)Instructions burned: 693 (million)
% 7.05/1.59 % (2678413)fmb+10_1_sil=64000:random_seed=1439006361:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.05/1.59 % (2678407)Instruction limit reached!
% 7.05/1.59 % (2678407)------------------------------
% 7.05/1.59 % (2678407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678407)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678407)Termination reason: Instruction limit
% 7.05/1.59 % (2678407)Termination phase: Finite model building constraint generation
% 7.05/1.59 % (2678407)Time elapsed: 0.403 s
% 7.05/1.59 % (2678407)Peak memory usage: 100 MB
% 7.05/1.59 % (2678407)Instructions burned: 890 (million)
% 7.05/1.59 % TRYING [1]
% 7.05/1.59 % TRYING [2]
% 7.05/1.59 % (2678415)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1759699558:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.05/1.59 % TRYING [20]
% 7.05/1.59 % (2678411)Instruction limit reached!
% 7.05/1.59 % (2678411)------------------------------
% 7.05/1.59 % (2678411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678411)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678411)Termination reason: Instruction limit
% 7.05/1.59 % (2678411)Termination phase: Saturation
% 7.05/1.59 % (2678411)Time elapsed: 0.356 s
% 7.05/1.59 % (2678411)Peak memory usage: 19 MB
% 7.05/1.59 % (2678411)Instructions burned: 879 (million)
% 7.05/1.59 % TRYING [3]
% 7.05/1.59 % (2678417)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1093292657:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.05/1.59 % TRYING [8]
% 7.05/1.59 % (2678405)Instruction limit reached!
% 7.05/1.59 % (2678405)------------------------------
% 7.05/1.59 % (2678405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678405)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678405)Termination reason: Instruction limit
% 7.05/1.59 % (2678405)Termination phase: Saturation
% 7.05/1.59 % (2678405)Time elapsed: 0.610 s
% 7.05/1.59 % (2678405)Peak memory usage: 34 MB
% 7.05/1.59 % (2678405)Instructions burned: 1180 (million)
% 7.05/1.59 % (2678419)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1714479941:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.05/1.59 % (2678419) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2678374-2678419"...
% 7.05/1.59 % (2678419)...printing done.
% 7.05/1.59 % (2678419)Refutation found. Thanks to Tanya!
% 7.05/1.59 % SZS status Theorem for theBenchmark
% 7.05/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 7.05/1.59 % (2678419)------------------------------
% 7.05/1.59 % (2678419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.05/1.59 % (2678419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.59 % (2678419)CaDiCaL version: 2.1.3
% 7.05/1.59 % (2678419)Termination reason: Refutation
% 7.05/1.59 % (2678419)Time elapsed: 0.129 s
% 7.05/1.59 % (2678419)Peak memory usage: 14 MB
% 7.05/1.59 % (2678419)Instructions burned: 277 (million)
% 7.05/1.59 % (2678374)Success in time 1.193 s
% 7.05/1.59 % Vampire exiting
%------------------------------------------------------------------------------