%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM317+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:18:19 PM UTC 2026
% Result : Theorem 7.00s 1.57s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 62 ~; 48 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
fof(f402,conjecture,
sum(n5,nn2,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n5_nn2_n3) ).
fof(f403,negated_conjecture,
~ sum(n5,nn2,n3),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ sum(n5,nn2,n3),
inference(flattening,[],[f403]) ).
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(ennf_transformation,[],[f275]) ).
fof(f407,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,[],[f406]) ).
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(ennf_transformation,[],[f290]) ).
fof(f431,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,[],[f430]) ).
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(ennf_transformation,[],[f297]) ).
fof(f443,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,[],[f442]) ).
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,[],[f407]) ).
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,[],[f431]) ).
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,[],[f443]) ).
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(n5,nn2,n3),
inference(cnf_transformation,[],[f404]) ).
fof(f1165,plain,
! [X2,X0,X1] :
( ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_positive_less(X0,X2)
| ~ rdn_translate(nn2,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X2))
| ~ rdn_translate(n3,rdn_pos(X1)) ),
inference(resolution,[],[f742,f855]) ).
fof(f1175,plain,
! [X2,X3,X0,X1] :
( ~ 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(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n5,rdn_pos(rdnn(X3)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1))) ),
inference(resolution,[],[f750,f1165]) ).
fof(f4374,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1))) ),
inference(resolution,[],[f1175,f805]) ).
fof(f4394,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1))) ),
inference(forward_subsumption_resolution,[],[f4374,f456]) ).
fof(f4418,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2)))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3))) ),
inference(resolution,[],[f4394,f778]) ).
fof(f4423,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3))) ),
inference(forward_subsumption_resolution,[],[f4418,f580]) ).
fof(f4424,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(forward_subsumption_resolution,[],[f4423,f454]) ).
fof(f4438,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
inference(resolution,[],[f4424,f725]) ).
fof(f4463,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(resolution,[],[f4438,f720]) ).
fof(f4477,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n4)) ),
inference(resolution,[],[f4463,f725]) ).
fof(f4480,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(resolution,[],[f4477,f719]) ).
fof(f4481,plain,
$false,
inference(forward_subsumption_resolution,[],[f4480,f718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM317+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.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 19:35:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.00/1.56 % (1967785)Will run a generic schedule for satisfiability detection.
% 7.00/1.56 % (1967790)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3684027046_2999 on theBenchmark for (2999ds/0Mi)
% 7.00/1.56 % (1967793)dis+10_1_sil=32000:sp=arity:random_seed=3911536321:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.00/1.56 % (1967792)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1752311779:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.00/1.56 % (1967794)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=871025975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.00/1.56 % (1967795)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4275286957:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.56 % (1967796)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3087188415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.00/1.56 % (1967791)% WARNING: option uhcvi not known.
% 7.00/1.56 % (1967791)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3993672061:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.00/1.56 % TRYING [1]
% 7.00/1.56 % TRYING [2]
% 7.00/1.56 % (1967793)Instruction limit reached!
% 7.00/1.56 % (1967793)------------------------------
% 7.00/1.56 % (1967793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967793)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967793)Termination reason: Instruction limit
% 7.00/1.56 % (1967793)Termination phase: Saturation
% 7.00/1.56 % (1967793)Time elapsed: 0.048 s
% 7.00/1.56 % (1967793)Peak memory usage: 13 MB
% 7.00/1.56 % (1967793)Instructions burned: 104 (million)
% 7.00/1.56 % TRYING [3]
% 7.00/1.56 % (1967794)Instruction limit reached!
% 7.00/1.56 % (1967794)------------------------------
% 7.00/1.56 % (1967794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967794)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967794)Termination reason: Instruction limit
% 7.00/1.56 % (1967794)Termination phase: Saturation
% 7.00/1.56 % (1967794)Time elapsed: 0.060 s
% 7.00/1.56 % (1967794)Peak memory usage: 13 MB
% 7.00/1.56 % (1967794)Instructions burned: 116 (million)
% 7.00/1.56 % (1967795)Instruction limit reached!
% 7.00/1.56 % (1967795)------------------------------
% 7.00/1.56 % (1967795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967795)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967795)Termination reason: Instruction limit
% 7.00/1.56 % (1967795)Termination phase: Saturation
% 7.00/1.56 % (1967795)Time elapsed: 0.061 s
% 7.00/1.56 % (1967795)Peak memory usage: 14 MB
% 7.00/1.56 % (1967795)Instructions burned: 132 (million)
% 7.00/1.56 % (1967804)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4079984823:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.00/1.56 % (1967805)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3696619823:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.56 % (1967806)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=3711435440:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.00/1.56 % (1967796)Instruction limit reached!
% 7.00/1.56 % (1967796)------------------------------
% 7.00/1.56 % (1967796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967796)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967796)Termination reason: Instruction limit
% 7.00/1.56 % (1967796)Termination phase: Saturation
% 7.00/1.56 % (1967796)Time elapsed: 0.082 s
% 7.00/1.56 % (1967796)Peak memory usage: 14 MB
% 7.00/1.56 % (1967796)Instructions burned: 159 (million)
% 7.00/1.56 % TRYING [1]
% 7.00/1.56 % (1967810)ott-21_1_sil=16000:fs=off:random_seed=2010732263:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.00/1.56 % TRYING [2]
% 7.00/1.56 % TRYING [3]
% 7.00/1.56 % TRYING [4]
% 7.00/1.56 % (1967805)Instruction limit reached!
% 7.00/1.56 % (1967805)------------------------------
% 7.00/1.56 % (1967805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967805)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967805)Termination reason: Instruction limit
% 7.00/1.56 % (1967805)Termination phase: Saturation
% 7.00/1.56 % (1967805)Time elapsed: 0.070 s
% 7.00/1.56 % (1967805)Peak memory usage: 14 MB
% 7.00/1.56 % (1967805)Instructions burned: 131 (million)
% 7.00/1.56 % (1967812)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2527408479:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.00/1.56 % (1967810)Instruction limit reached!
% 7.00/1.56 % (1967810)------------------------------
% 7.00/1.56 % (1967810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967810)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967810)Termination reason: Instruction limit
% 7.00/1.56 % (1967810)Termination phase: Saturation
% 7.00/1.56 % (1967810)Time elapsed: 0.081 s
% 7.00/1.56 % (1967810)Peak memory usage: 12 MB
% 7.00/1.56 % (1967810)Instructions burned: 181 (million)
% 7.00/1.56 % (1967814)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1171991336:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.00/1.56 % TRYING [4]
% 7.00/1.56 % TRYING [1]
% 7.00/1.56 % TRYING [2]
% 7.00/1.56 % TRYING [3]
% 7.00/1.56 % (1967804)Instruction limit reached!
% 7.00/1.56 % (1967804)------------------------------
% 7.00/1.56 % (1967804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967804)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967804)Termination reason: Instruction limit
% 7.00/1.56 % (1967804)Termination phase: Finite model building constraint generation
% 7.00/1.56 % (1967804)Time elapsed: 0.263 s
% 7.00/1.56 % (1967804)Peak memory usage: 38 MB
% 7.00/1.56 % (1967804)Instructions burned: 716 (million)
% 7.00/1.56 % (1967816)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1220445358:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.00/1.56 % (1967812)Instruction limit reached!
% 7.00/1.56 % (1967812)------------------------------
% 7.00/1.56 % (1967812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967812)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967812)Termination reason: Instruction limit
% 7.00/1.56 % (1967812)Termination phase: Saturation
% 7.00/1.56 % (1967812)Time elapsed: 0.244 s
% 7.00/1.56 % (1967812)Peak memory usage: 17 MB
% 7.00/1.56 % (1967812)Instructions burned: 477 (million)
% 7.00/1.56 % (1967806)Instruction limit reached!
% 7.00/1.56 % (1967806)------------------------------
% 7.00/1.56 % (1967806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967806)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967806)Termination reason: Instruction limit
% 7.00/1.56 % (1967806)Termination phase: Saturation
% 7.00/1.56 % (1967806)Time elapsed: 0.338 s
% 7.00/1.56 % (1967806)Peak memory usage: 22 MB
% 7.00/1.56 % (1967806)Instructions burned: 684 (million)
% 7.00/1.56 % (1967818)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3891426332:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.00/1.56 % (1967819)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=2379122482: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)
% 7.00/1.56 % TRYING [5]
% 7.00/1.56 % TRYING [4]
% 7.00/1.56 % (1967814)Instruction limit reached!
% 7.00/1.56 % (1967814)------------------------------
% 7.00/1.56 % (1967814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967814)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967814)Termination reason: Instruction limit
% 7.00/1.56 % (1967814)Termination phase: Finite model building constraint generation
% 7.00/1.56 % (1967814)Time elapsed: 0.326 s
% 7.00/1.56 % (1967814)Peak memory usage: 24 MB
% 7.00/1.56 % (1967814)Instructions burned: 866 (million)
% 7.00/1.56 % (1967822)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=675754745:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.00/1.56 % (1967819)Instruction limit reached!
% 7.00/1.56 % (1967819)------------------------------
% 7.00/1.56 % (1967819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967819)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967819)Termination reason: Instruction limit
% 7.00/1.56 % (1967819)Termination phase: Saturation
% 7.00/1.56 % (1967819)Time elapsed: 0.338 s
% 7.00/1.56 % (1967819)Peak memory usage: 28 MB
% 7.00/1.56 % (1967819)Instructions burned: 693 (million)
% 7.00/1.56 % (1967824)fmb+10_1_sil=64000:random_seed=613443449:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.00/1.56 % TRYING [1]
% 7.00/1.56 % TRYING [2]
% 7.00/1.56 % (1967818)Instruction limit reached!
% 7.00/1.56 % (1967818)------------------------------
% 7.00/1.56 % (1967818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.56 % (1967818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.56 % (1967818)CaDiCaL version: 2.1.3
% 7.00/1.56 % (1967818)Termination reason: Instruction limit
% 7.00/1.56 % (1967818)Termination phase: Finite model building constraint generation
% 7.00/1.57 % (1967818)Time elapsed: 0.405 s
% 7.00/1.57 % (1967818)Peak memory usage: 100 MB
% 7.00/1.57 % (1967818)Instructions burned: 890 (million)
% 7.00/1.57 % (1967826)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2984969769:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.00/1.57 % TRYING [3]
% 7.00/1.57 % TRYING [20]
% 7.00/1.57 % (1967822)Instruction limit reached!
% 7.00/1.57 % (1967822)------------------------------
% 7.00/1.57 % (1967822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.57 % (1967822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.57 % (1967822)CaDiCaL version: 2.1.3
% 7.00/1.57 % (1967822)Termination reason: Instruction limit
% 7.00/1.57 % (1967822)Termination phase: Saturation
% 7.00/1.57 % (1967822)Time elapsed: 0.360 s
% 7.00/1.57 % (1967822)Peak memory usage: 20 MB
% 7.00/1.57 % (1967822)Instructions burned: 880 (million)
% 7.00/1.57 % (1967828)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1304706395:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.00/1.57 % (1967816)Instruction limit reached!
% 7.00/1.57 % (1967816)------------------------------
% 7.00/1.57 % (1967816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.57 % (1967816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.57 % (1967816)CaDiCaL version: 2.1.3
% 7.00/1.57 % (1967816)Termination reason: Instruction limit
% 7.00/1.57 % (1967816)Termination phase: Saturation
% 7.00/1.57 % (1967816)Time elapsed: 0.604 s
% 7.00/1.57 % (1967816)Peak memory usage: 35 MB
% 7.00/1.57 % (1967816)Instructions burned: 1180 (million)
% 7.00/1.57 % TRYING [8]
% 7.00/1.57 % (1967830)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=568419469:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.00/1.57 % (1967830) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1967785-1967830"...
% 7.00/1.57 % (1967830)...printing done.
% 7.00/1.57 % (1967830)Refutation found. Thanks to Tanya!
% 7.00/1.57 % SZS status Theorem for theBenchmark
% 7.00/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.57 % (1967830)------------------------------
% 7.00/1.57 % (1967830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.57 % (1967830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.57 % (1967830)CaDiCaL version: 2.1.3
% 7.00/1.57 % (1967830)Termination reason: Refutation
% 7.00/1.57 % (1967830)Time elapsed: 0.116 s
% 7.00/1.57 % (1967830)Peak memory usage: 14 MB
% 7.00/1.57 % (1967830)Instructions burned: 255 (million)
% 7.00/1.57 % (1967785)Success in time 1.156 s
% 7.00/1.57 % Vampire exiting
%------------------------------------------------------------------------------