%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM345+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 : n015.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 12:18:22 PM UTC 2026
% Result : Theorem 25.90s 7.56s
% Output : Refutation 25.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 22 unt; 0 def)
% Number of atoms : 108 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 108 ( 49 ~; 44 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 91 ( 90 !; 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(f7,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).
fof(f271,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
fof(f281,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_pos(X3))
& rdn_positive_less(X2,X3) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
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)
=> less(X0,n6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n2_n3_less_n6) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,n3,X0)
=> less(X0,n6) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(ennf_transformation,[],[f281]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3) ),
inference(flattening,[],[f413]) ).
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] :
( ~ less(X0,n6)
& sum(n2,n3,X0) ),
inference(ennf_transformation,[],[f403]) ).
fof(f454,plain,
( ~ less(sK0,n6)
& sum(n2,n3,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f450]) ).
fof(f457,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f460,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f461,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(cnf_transformation,[],[f7]) ).
fof(f725,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f271]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(cnf_transformation,[],[f424]) ).
fof(f749,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f436]) ).
fof(f754,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(f782,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f809,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f859,plain,
sum(n2,n3,sK0),
inference(cnf_transformation,[],[f454]) ).
fof(f860,plain,
~ less(sK0,n6),
inference(cnf_transformation,[],[f454]) ).
fof(f930,plain,
! [X0] :
( ~ sum(n2,n3,X0)
| sK0 = X0 ),
inference(resolution,[],[f749,f859]) ).
fof(f951,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n6)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| less(X0,X1) ),
inference(resolution,[],[f735,f725]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n5)) ),
inference(resolution,[],[f754,f809]) ).
fof(f1107,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| less(X0,n6) ),
inference(resolution,[],[f951,f461]) ).
fof(f1417,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(resolution,[],[f1077,f782]) ).
fof(f1773,plain,
less(n5,n6),
inference(resolution,[],[f1107,f460]) ).
fof(f2232,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n3)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
inference(resolution,[],[f1417,f743]) ).
fof(f4241,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
| sum(X1,X0,n5)
| ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
inference(resolution,[],[f2232,f460]) ).
fof(f8333,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| sum(n2,X0,n5) ),
inference(resolution,[],[f4241,f457]) ).
fof(f19449,plain,
sum(n2,n3,n5),
inference(resolution,[],[f8333,f458]) ).
fof(f19671,plain,
n5 = sK0,
inference(resolution,[],[f19449,f930]) ).
fof(f19678,plain,
~ less(n5,n6),
inference(superposition,[],[f860,f19671]) ).
fof(f19687,plain,
$false,
inference(global_subsumption,[],[f19678,f1773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM345+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:38:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.65/2.58 % (1969511)Will run a generic schedule for satisfiability detection.
% 14.65/2.58 % (1969516)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1783971522_2999 on theBenchmark for (2999ds/0Mi)
% 14.65/2.58 % (1969517)% WARNING: option uhcvi not known.
% 14.65/2.58 % (1969518)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2062100727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.65/2.58 % (1969517)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2170879803:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.65/2.58 % (1969519)dis+10_1_sil=32000:sp=arity:random_seed=2254416666:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.65/2.58 % (1969520)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=132715221:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.65/2.58 % (1969522)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=294234824:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.65/2.58 % (1969521)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2701657558:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.65/2.58 % TRYING [1]
% 14.65/2.58 % TRYING [2]
% 14.65/2.58 % TRYING [3]
% 14.65/2.58 % (1969519)Instruction limit reached!
% 14.65/2.58 % (1969519)------------------------------
% 14.65/2.58 % (1969519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.58 % (1969519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.58 % (1969519)CaDiCaL version: 2.1.3
% 14.65/2.58 % (1969519)Termination reason: Instruction limit
% 14.65/2.58 % (1969519)Termination phase: Saturation
% 14.65/2.58 % (1969519)Time elapsed: 0.048 s
% 14.65/2.58 % (1969519)Peak memory usage: 13 MB
% 14.65/2.58 % (1969519)Instructions burned: 104 (million)
% 14.65/2.58 % TRYING [4]
% 14.65/2.58 % (1969521)Instruction limit reached!
% 14.65/2.58 % (1969521)------------------------------
% 14.65/2.58 % (1969521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.58 % (1969521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.58 % (1969521)CaDiCaL version: 2.1.3
% 14.65/2.58 % (1969521)Termination reason: Instruction limit
% 14.65/2.58 % (1969521)Termination phase: Saturation
% 14.65/2.58 % (1969521)Time elapsed: 0.063 s
% 14.65/2.58 % (1969521)Peak memory usage: 14 MB
% 14.65/2.58 % (1969521)Instructions burned: 135 (million)
% 14.65/2.58 % (1969520)Instruction limit reached!
% 14.65/2.58 % (1969520)------------------------------
% 14.65/2.58 % (1969520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.58 % (1969520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.58 % (1969520)CaDiCaL version: 2.1.3
% 14.65/2.58 % (1969520)Termination reason: Instruction limit
% 14.65/2.58 % (1969520)Termination phase: Saturation
% 14.65/2.58 % (1969520)Time elapsed: 0.064 s
% 14.65/2.58 % (1969520)Peak memory usage: 13 MB
% 14.65/2.58 % (1969520)Instructions burned: 120 (million)
% 14.65/2.58 % (1969530)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3230808764:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.65/2.58 % (1969522)Instruction limit reached!
% 14.65/2.58 % (1969522)------------------------------
% 14.65/2.58 % (1969522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.58 % (1969522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.58 % (1969522)CaDiCaL version: 2.1.3
% 14.65/2.58 % (1969522)Termination reason: Instruction limit
% 14.65/2.58 % (1969522)Termination phase: Saturation
% 14.65/2.58 % (1969522)Time elapsed: 0.083 s
% 14.65/2.58 % (1969522)Peak memory usage: 14 MB
% 14.65/2.58 % (1969522)Instructions burned: 161 (million)
% 14.65/2.58 % (1969531)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2759576012:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.65/2.58 % (1969532)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=2286645737:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.65/2.58 % TRYING [1]
% 14.65/2.58 % (1969536)ott-21_1_sil=16000:fs=off:random_seed=4219391122:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.65/2.58 % TRYING [2]
% 14.65/2.58 % TRYING [3]
% 14.65/2.58 % (1969531)Instruction limit reached!
% 14.65/2.58 % (1969531)------------------------------
% 14.65/2.58 % (1969531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.58 % (1969531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969531)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969531)Termination reason: Instruction limit
% 40.91/6.28 % (1969531)Termination phase: Saturation
% 40.91/6.28 % (1969531)Time elapsed: 0.064 s
% 40.91/6.28 % (1969531)Peak memory usage: 14 MB
% 40.91/6.28 % (1969531)Instructions burned: 131 (million)
% 40.91/6.28 % (1969538)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4065311544:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 40.91/6.28 % (1969536)Instruction limit reached!
% 40.91/6.28 % (1969536)------------------------------
% 40.91/6.28 % (1969536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.91/6.28 % (1969536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969536)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969536)Termination reason: Instruction limit
% 40.91/6.28 % (1969536)Termination phase: Saturation
% 40.91/6.28 % (1969536)Time elapsed: 0.081 s
% 40.91/6.28 % (1969536)Peak memory usage: 13 MB
% 40.91/6.28 % (1969536)Instructions burned: 182 (million)
% 40.91/6.28 % (1969540)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1285964712:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 40.91/6.28 % TRYING [4]
% 40.91/6.28 % TRYING [1]
% 40.91/6.28 % TRYING [2]
% 40.91/6.28 % TRYING [5]
% 40.91/6.28 % TRYING [3]
% 40.91/6.28 % (1969530)Instruction limit reached!
% 40.91/6.28 % (1969530)------------------------------
% 40.91/6.28 % (1969530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.91/6.28 % (1969530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969530)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969530)Termination reason: Instruction limit
% 40.91/6.28 % (1969530)Termination phase: Finite model building constraint generation
% 40.91/6.28 % (1969530)Time elapsed: 0.269 s
% 40.91/6.28 % (1969530)Peak memory usage: 38 MB
% 40.91/6.28 % (1969530)Instructions burned: 715 (million)
% 40.91/6.28 % (1969542)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3512474715:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 40.91/6.28 % (1969538)Instruction limit reached!
% 40.91/6.28 % (1969538)------------------------------
% 40.91/6.28 % (1969538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.91/6.28 % (1969538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969538)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969538)Termination reason: Instruction limit
% 40.91/6.28 % (1969538)Termination phase: Saturation
% 40.91/6.28 % (1969538)Time elapsed: 0.241 s
% 40.91/6.28 % (1969538)Peak memory usage: 17 MB
% 40.91/6.28 % (1969538)Instructions burned: 478 (million)
% 40.91/6.28 % (1969544)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3298964022:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 40.91/6.28 % (1969532)Instruction limit reached!
% 40.91/6.28 % (1969532)------------------------------
% 40.91/6.28 % (1969532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.91/6.28 % (1969532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969532)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969532)Termination reason: Instruction limit
% 40.91/6.28 % (1969532)Termination phase: Saturation
% 40.91/6.28 % (1969532)Time elapsed: 0.395 s
% 40.91/6.28 % (1969532)Peak memory usage: 22 MB
% 40.91/6.28 % (1969532)Instructions burned: 684 (million)
% 40.91/6.28 % (1969546)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=3102065242: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)
% 40.91/6.28 % (1969540)Instruction limit reached!
% 40.91/6.28 % (1969540)------------------------------
% 40.91/6.28 % (1969540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.91/6.28 % (1969540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.91/6.28 % (1969540)CaDiCaL version: 2.1.3
% 40.91/6.28 % (1969540)Termination reason: Instruction limit
% 40.91/6.28 % (1969540)Termination phase: Finite model building constraint generation
% 40.91/6.28 % (1969540)Time elapsed: 0.330 s
% 40.91/6.28 % (1969540)Peak memory usage: 24 MB
% 40.91/6.28 % (1969540)Instructions burned: 866 (million)
% 40.91/6.28 % (1969548)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2842230129:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 40.91/6.28 % (1969546)Instruction limit reached!
% 40.91/6.28 % (1969546)------------------------------
% 25.90/7.56 % (1969546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969546)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969546)Termination reason: Instruction limit
% 25.90/7.56 % (1969546)Termination phase: Saturation
% 25.90/7.56 % (1969546)Time elapsed: 0.330 s
% 25.90/7.56 % (1969546)Peak memory usage: 22 MB
% 25.90/7.56 % (1969546)Instructions burned: 695 (million)
% 25.90/7.56 % (1969544)Instruction limit reached!
% 25.90/7.56 % (1969544)------------------------------
% 25.90/7.56 % (1969544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969544)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969544)Termination reason: Instruction limit
% 25.90/7.56 % (1969544)Termination phase: Finite model building constraint generation
% 25.90/7.56 % (1969544)Time elapsed: 0.417 s
% 25.90/7.56 % (1969544)Peak memory usage: 103 MB
% 25.90/7.56 % (1969544)Instructions burned: 891 (million)
% 25.90/7.56 % (1969550)fmb+10_1_sil=64000:random_seed=565411487:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 25.90/7.56 % (1969552)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1988132934:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 25.90/7.56 % TRYING [1]
% 25.90/7.56 % TRYING [2]
% 25.90/7.56 % TRYING [20]
% 25.90/7.56 % (1969548)Instruction limit reached!
% 25.90/7.56 % (1969548)------------------------------
% 25.90/7.56 % (1969548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969548)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969548)Termination reason: Instruction limit
% 25.90/7.56 % (1969548)Termination phase: Saturation
% 25.90/7.56 % (1969548)Time elapsed: 0.385 s
% 25.90/7.56 % (1969548)Peak memory usage: 24 MB
% 25.90/7.56 % (1969548)Instructions burned: 880 (million)
% 25.90/7.56 % TRYING [3]
% 25.90/7.56 % (1969554)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3827965383:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 25.90/7.56 % (1969542)Instruction limit reached!
% 25.90/7.56 % (1969542)------------------------------
% 25.90/7.56 % (1969542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969542)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969542)Termination reason: Instruction limit
% 25.90/7.56 % (1969542)Termination phase: Saturation
% 25.90/7.56 % (1969542)Time elapsed: 0.606 s
% 25.90/7.56 % (1969542)Peak memory usage: 34 MB
% 25.90/7.56 % (1969542)Instructions burned: 1179 (million)
% 25.90/7.56 % (1969556)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2034011129:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 25.90/7.56 % TRYING [8]
% 25.90/7.56 % TRYING [6]
% 25.90/7.56 % TRYING [4]
% 25.90/7.56 % (1969554)Instruction limit reached!
% 25.90/7.56 % (1969554)------------------------------
% 25.90/7.56 % (1969554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969554)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969554)Termination reason: Instruction limit
% 25.90/7.56 % (1969554)Termination phase: Finite model building constraint generation
% 25.90/7.56 % (1969554)Time elapsed: 0.314 s
% 25.90/7.56 % (1969554)Peak memory usage: 68 MB
% 25.90/7.56 % (1969554)Instructions burned: 920 (million)
% 25.90/7.56 % (1969558)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1080579324:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 25.90/7.56 % (1969558)Instruction limit reached!
% 25.90/7.56 % (1969558)------------------------------
% 25.90/7.56 % (1969558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969558)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969558)Termination reason: Instruction limit
% 25.90/7.56 % (1969558)Termination phase: Saturation
% 25.90/7.56 % (1969558)Time elapsed: 0.747 s
% 25.90/7.56 % (1969558)Peak memory usage: 28 MB
% 25.90/7.56 % (1969558)Instructions burned: 1474 (million)
% 25.90/7.56 % (1969560)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=462300742:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 25.90/7.56 % (1969560)Cannot represent all propositional literals internally
% 25.90/7.56 % (1969560)Refutation not found, incomplete strategy
% 25.90/7.56 % (1969560)------------------------------
% 25.90/7.56 % (1969560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969560)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969560)Termination reason: Refutation not found, incomplete strategy
% 25.90/7.56 % (1969560)Time elapsed: 0.033 s
% 25.90/7.56 % (1969560)Peak memory usage: 12 MB
% 25.90/7.56 % (1969560)Instructions burned: 72 (million)
% 25.90/7.56 % (1969560)------------------------------
% 25.90/7.56 % (1969560)------------------------------
% 25.90/7.56 % (1969562)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3615582689:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 25.90/7.56 % TRYING [16]
% 25.90/7.56 % (1969562)Instruction limit reached!
% 25.90/7.56 % (1969562)------------------------------
% 25.90/7.56 % (1969562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969562)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969562)Termination reason: Instruction limit
% 25.90/7.56 % (1969562)Termination phase: Finite model building constraint generation
% 25.90/7.56 % (1969562)Time elapsed: 0.739 s
% 25.90/7.56 % (1969562)Peak memory usage: 126 MB
% 25.90/7.56 % (1969562)Instructions burned: 2176 (million)
% 25.90/7.56 % (1969564)ott-2_1_sil=16000:newcnf=on:random_seed=778489697:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 25.90/7.56 % (1969564)Instruction limit reached!
% 25.90/7.56 % (1969564)------------------------------
% 25.90/7.56 % (1969564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969564)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969564)Termination reason: Instruction limit
% 25.90/7.56 % (1969564)Termination phase: Saturation
% 25.90/7.56 % (1969564)Time elapsed: 0.411 s
% 25.90/7.56 % (1969564)Peak memory usage: 19 MB
% 25.90/7.56 % (1969564)Instructions burned: 870 (million)
% 25.90/7.56 % (1969566)ott+10_1_sil=32000:tgt=ground:random_seed=3631494382:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 25.90/7.56 % (1969556)Instruction limit reached!
% 25.90/7.56 % (1969556)------------------------------
% 25.90/7.56 % (1969556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969556)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969556)Termination reason: Instruction limit
% 25.90/7.56 % (1969556)Termination phase: Saturation
% 25.90/7.56 % (1969556)Time elapsed: 2.429 s
% 25.90/7.56 % (1969556)Peak memory usage: 48 MB
% 25.90/7.56 % (1969556)Instructions burned: 5131 (million)
% 25.90/7.56 % (1969568)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2926769181:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 25.90/7.56 % TRYING [1]
% 25.90/7.56 % TRYING [2]
% 25.90/7.56 % TRYING [3]
% 25.90/7.56 % TRYING [4]
% 25.90/7.56 % TRYING [5]
% 25.90/7.56 % TRYING [5]
% 25.90/7.56 % (1969552)Instruction limit reached!
% 25.90/7.56 % (1969552)------------------------------
% 25.90/7.56 % (1969552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969552)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969552)Termination reason: Instruction limit
% 25.90/7.56 % (1969552)Termination phase: Finite model building constraint generation
% 25.90/7.56 % (1969552)Time elapsed: 3.339 s
% 25.90/7.56 % (1969552)Peak memory usage: 663 MB
% 25.90/7.56 % (1969552)Instructions burned: 9515 (million)
% 25.90/7.56 % (1969570)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2808114563:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 25.90/7.56 % TRYING [7]
% 25.90/7.56 % TRYING [6]
% 25.90/7.56 % (1969570)Instruction limit reached!
% 25.90/7.56 % (1969570)------------------------------
% 25.90/7.56 % (1969570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969570)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969570)Termination reason: Instruction limit
% 25.90/7.56 % (1969570)Termination phase: Saturation
% 25.90/7.56 % (1969570)Time elapsed: 1.459 s
% 25.90/7.56 % (1969570)Peak memory usage: 35 MB
% 25.90/7.56 % (1969570)Instructions burned: 3514 (million)
% 25.90/7.56 % (1969574)dis+21_1_sil=32000:sas=cadical:random_seed=1738323366:i=3773:amm=off_2941 on theBenchmark for (2941ds/3773Mi)
% 25.90/7.56 % (1969566)Instruction limit reached!
% 25.90/7.56 % (1969566)------------------------------
% 25.90/7.56 % (1969566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969566)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969566)Termination reason: Instruction limit
% 25.90/7.56 % (1969566)Termination phase: Saturation
% 25.90/7.56 % (1969566)Time elapsed: 2.678 s
% 25.90/7.56 % (1969566)Peak memory usage: 78 MB
% 25.90/7.56 % (1969566)Instructions burned: 5115 (million)
% 25.90/7.56 % (1969576)ott+11_1_sil=16000:gs=on:random_seed=3991634095:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2939 on theBenchmark for (2939ds/2251Mi)
% 25.90/7.56 % (1969576) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1969511-1969576"...
% 25.90/7.56 % (1969576)...printing done.
% 25.90/7.56 % (1969576)Refutation found. Thanks to Tanya!
% 25.90/7.56 % SZS status Theorem for theBenchmark
% 25.90/7.56 % SZS output start Proof for theBenchmark
% See solution above
% 25.90/7.56 % (1969576)------------------------------
% 25.90/7.56 % (1969576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/7.56 % (1969576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/7.56 % (1969576)CaDiCaL version: 2.1.3
% 25.90/7.56 % (1969576)Termination reason: Refutation
% 25.90/7.56 % (1969576)Time elapsed: 0.919 s
% 25.90/7.56 % (1969576)Peak memory usage: 35 MB
% 25.90/7.56 % (1969576)Instructions burned: 1716 (million)
% 25.90/7.56 % (1969511)Success in time 7.132 s
% 25.90/7.56 % Vampire exiting
%------------------------------------------------------------------------------