%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM342+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 : n019.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 30.94s 7.56s
% Output : Refutation 30.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 45 ~; 41 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 83 ( 79 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
fof(f5,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).
fof(f9,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn8) ).
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/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
fof(f296,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
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(f342,axiom,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n0_n4_n0) ).
fof(f346,axiom,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n4_n8_n0) ).
fof(f382,axiom,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n0_n8_n0) ).
fof(f402,conjecture,
? [X0,X1] :
( sum(X0,X1,n8)
& difference(X0,X1,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_and_difference) ).
fof(f403,negated_conjecture,
~ ? [X0,X1] :
( sum(X0,X1,n8)
& difference(X0,X1,n0) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(ennf_transformation,[],[f287]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5)) ),
inference(flattening,[],[f423]) ).
fof(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,X1] :
( ~ sum(X0,X1,n8)
| ~ difference(X0,X1,n0) ),
inference(ennf_transformation,[],[f403]) ).
fof(f453,plain,
! [X0,X1,X2] :
( ( sum(X1,X2,X0)
| ~ difference(X0,X1,X2) )
& ( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f296]) ).
fof(f454,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f458,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f5]) ).
fof(f462,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(cnf_transformation,[],[f9]) ).
fof(f742,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(f751,plain,
! [X2,X0,X1] :
( ~ sum(X1,X2,X0)
| difference(X0,X1,X2) ),
inference(cnf_transformation,[],[f453]) ).
fof(f753,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(f798,plain,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
inference(cnf_transformation,[],[f342]) ).
fof(f802,plain,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f346]) ).
fof(f838,plain,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f382]) ).
fof(f858,plain,
! [X0,X1] :
( ~ difference(X0,X1,n0)
| ~ sum(X0,X1,n8) ),
inference(cnf_transformation,[],[f450]) ).
fof(f936,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n4),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n4)) ),
inference(resolution,[],[f753,f798]) ).
fof(f954,plain,
! [X0,X1] :
( rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n8))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n8),rdnn(n0)) ),
inference(resolution,[],[f753,f838]) ).
fof(f1369,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
inference(resolution,[],[f936,f798]) ).
fof(f1566,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_translate(X4,rdn_pos(rdnn(n8)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X3,rdn_pos(rdnn(X1)))
| sum(X2,X3,X4)
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n8),rdnn(n0)) ),
inference(resolution,[],[f954,f742]) ).
fof(f2149,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n0)))
| sum(X0,X1,X2)
| ~ rdn_translate(X0,rdn_pos(rdnn(n4))) ),
inference(resolution,[],[f1369,f742]) ).
fof(f3037,plain,
! [X2,X3,X0,X1] :
( ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(n8),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
| sum(X0,X2,n8)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1))) ),
inference(resolution,[],[f1566,f462]) ).
fof(f4430,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n4)))
| sum(X1,X0,n4)
| ~ rdn_translate(X0,rdn_pos(rdnn(n0))) ),
inference(resolution,[],[f2149,f458]) ).
fof(f4539,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n4)))
| sum(X1,X0,n8)
| ~ rdn_translate(X0,rdn_pos(rdnn(n4))) ),
inference(resolution,[],[f3037,f802]) ).
fof(f10040,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| sum(n4,X0,n4) ),
inference(resolution,[],[f4430,f458]) ).
fof(f10100,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n4)))
| sum(n4,X0,n8) ),
inference(resolution,[],[f4539,f458]) ).
fof(f21789,plain,
sum(n4,n0,n4),
inference(resolution,[],[f10040,f454]) ).
fof(f21870,plain,
sum(n4,n4,n8),
inference(resolution,[],[f10100,f458]) ).
fof(f24668,plain,
difference(n4,n4,n0),
inference(resolution,[],[f21789,f751]) ).
fof(f25137,plain,
~ sum(n4,n4,n8),
inference(resolution,[],[f24668,f858]) ).
fof(f25139,plain,
$false,
inference(global_subsumption,[],[f25137,f21870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM342+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:35:34 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 13.75/2.50 % (3358928)Will run a generic schedule for satisfiability detection.
% 13.75/2.50 % (3358938)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2878435141:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.75/2.50 % (3358934)% WARNING: option uhcvi not known.
% 13.75/2.50 % (3358933)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=843909329_2999 on theBenchmark for (2999ds/0Mi)
% 13.75/2.50 % (3358934)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4128737756:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.75/2.50 % (3358935)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3705857819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.75/2.50 % (3358936)dis+10_1_sil=32000:sp=arity:random_seed=3694332233:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.75/2.50 % (3358937)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1409876095:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.75/2.50 % (3358939)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1963269879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.75/2.50 % (3358938)Instruction limit reached!
% 13.75/2.50 % (3358938)------------------------------
% 13.75/2.50 % (3358938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.50 % (3358938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.50 % (3358938)CaDiCaL version: 2.1.3
% 13.75/2.50 % (3358938)Termination reason: Instruction limit
% 13.75/2.50 % (3358938)Termination phase: Saturation
% 13.75/2.50 % (3358938)Time elapsed: 0.033 s
% 13.75/2.50 % (3358938)Peak memory usage: 14 MB
% 13.75/2.50 % (3358938)Instructions burned: 133 (million)
% 13.75/2.50 % TRYING [1]
% 13.75/2.50 % TRYING [2]
% 13.75/2.50 % (3358947)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2775652707:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.75/2.50 % (3358936)Instruction limit reached!
% 13.75/2.50 % (3358936)------------------------------
% 13.75/2.50 % (3358936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.50 % (3358936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.50 % (3358936)CaDiCaL version: 2.1.3
% 13.75/2.50 % (3358936)Termination reason: Instruction limit
% 13.75/2.50 % (3358936)Termination phase: Saturation
% 13.75/2.50 % (3358936)Time elapsed: 0.048 s
% 13.75/2.50 % (3358936)Peak memory usage: 13 MB
% 13.75/2.50 % (3358936)Instructions burned: 104 (million)
% 13.75/2.50 % TRYING [3]
% 13.75/2.50 % TRYING [1]
% 13.75/2.50 % TRYING [2]
% 13.75/2.50 % (3358937)Instruction limit reached!
% 13.75/2.50 % (3358937)------------------------------
% 13.75/2.50 % (3358937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.50 % (3358937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.50 % (3358937)CaDiCaL version: 2.1.3
% 13.75/2.50 % (3358937)Termination reason: Instruction limit
% 13.75/2.50 % (3358937)Termination phase: Saturation
% 13.75/2.50 % (3358937)Time elapsed: 0.060 s
% 13.75/2.50 % (3358937)Peak memory usage: 13 MB
% 13.75/2.50 % (3358937)Instructions burned: 118 (million)
% 13.75/2.50 % TRYING [3]
% 13.75/2.50 % (3358949)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2108531762:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.75/2.50 % (3358939)Instruction limit reached!
% 13.75/2.50 % (3358939)------------------------------
% 13.75/2.50 % (3358939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.50 % (3358939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/2.50 % (3358939)CaDiCaL version: 2.1.3
% 13.75/2.50 % (3358939)Termination reason: Instruction limit
% 13.75/2.50 % (3358939)Termination phase: Saturation
% 13.75/2.50 % (3358939)Time elapsed: 0.074 s
% 13.75/2.50 % (3358939)Peak memory usage: 14 MB
% 13.75/2.50 % (3358939)Instructions burned: 160 (million)
% 13.75/2.50 % (3358950)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=1985963815:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.75/2.50 % (3358952)ott-21_1_sil=16000:fs=off:random_seed=2003918986:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.75/2.50 % TRYING [4]
% 13.75/2.50 % TRYING [4]
% 13.75/2.50 % (3358949)Instruction limit reached!
% 13.75/2.50 % (3358949)------------------------------
% 13.75/2.50 % (3358949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.75/2.50 % (3358949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358949)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358949)Termination reason: Instruction limit
% 35.75/5.59 % (3358949)Termination phase: Saturation
% 35.75/5.59 % (3358949)Time elapsed: 0.065 s
% 35.75/5.59 % (3358949)Peak memory usage: 14 MB
% 35.75/5.59 % (3358949)Instructions burned: 132 (million)
% 35.75/5.59 % (3358955)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2508031874:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 35.75/5.59 % (3358952)Instruction limit reached!
% 35.75/5.59 % (3358952)------------------------------
% 35.75/5.59 % (3358952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358952)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358952)Termination reason: Instruction limit
% 35.75/5.59 % (3358952)Termination phase: Saturation
% 35.75/5.59 % (3358952)Time elapsed: 0.080 s
% 35.75/5.59 % (3358952)Peak memory usage: 12 MB
% 35.75/5.59 % (3358952)Instructions burned: 180 (million)
% 35.75/5.59 % (3358947)Instruction limit reached!
% 35.75/5.59 % (3358947)------------------------------
% 35.75/5.59 % (3358947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358947)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358947)Termination reason: Instruction limit
% 35.75/5.59 % (3358947)Termination phase: Finite model building constraint generation
% 35.75/5.59 % (3358947)Time elapsed: 0.144 s
% 35.75/5.59 % (3358947)Peak memory usage: 38 MB
% 35.75/5.59 % (3358947)Instructions burned: 718 (million)
% 35.75/5.59 % (3358958)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2820651018:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.75/5.59 % (3358957)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3191909877:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.75/5.59 % TRYING [1]
% 35.75/5.59 % TRYING [2]
% 35.75/5.59 % TRYING [3]
% 35.75/5.59 % (3358955)Instruction limit reached!
% 35.75/5.59 % (3358955)------------------------------
% 35.75/5.59 % (3358955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358955)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358955)Termination reason: Instruction limit
% 35.75/5.59 % (3358955)Termination phase: Saturation
% 35.75/5.59 % (3358955)Time elapsed: 0.247 s
% 35.75/5.59 % (3358955)Peak memory usage: 17 MB
% 35.75/5.59 % (3358955)Instructions burned: 478 (million)
% 35.75/5.59 % (3358961)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=737766479:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.75/5.59 % (3358950)Instruction limit reached!
% 35.75/5.59 % (3358950)------------------------------
% 35.75/5.59 % (3358950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358950)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358950)Termination reason: Instruction limit
% 35.75/5.59 % (3358950)Termination phase: Saturation
% 35.75/5.59 % (3358950)Time elapsed: 0.339 s
% 35.75/5.59 % (3358950)Peak memory usage: 23 MB
% 35.75/5.59 % (3358950)Instructions burned: 684 (million)
% 35.75/5.59 % (3358963)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=191442052: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)
% 35.75/5.59 % TRYING [5]
% 35.75/5.59 % TRYING [4]
% 35.75/5.59 % (3358957)Instruction limit reached!
% 35.75/5.59 % (3358957)------------------------------
% 35.75/5.59 % (3358957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.75/5.59 % (3358957)CaDiCaL version: 2.1.3
% 35.75/5.59 % (3358957)Termination reason: Instruction limit
% 35.75/5.59 % (3358957)Termination phase: Finite model building constraint generation
% 35.75/5.59 % (3358957)Time elapsed: 0.325 s
% 35.75/5.59 % (3358957)Peak memory usage: 24 MB
% 35.75/5.59 % (3358957)Instructions burned: 867 (million)
% 35.75/5.59 % (3358958)Instruction limit reached!
% 35.75/5.59 % (3358958)------------------------------
% 35.75/5.59 % (3358958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.75/5.59 % (3358958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.53 % (3358958)CaDiCaL version: 2.1.3
% 30.94/7.53 % (3358958)Termination reason: Instruction limit
% 30.94/7.53 % (3358958)Termination phase: Saturation
% 30.94/7.53 % (3358958)Time elapsed: 0.331 s
% 30.94/7.53 % (3358958)Peak memory usage: 35 MB
% 30.94/7.53 % (3358958)Instructions burned: 1181 (million)
% 30.94/7.53 % (3358966)fmb+10_1_sil=64000:random_seed=3233176379:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 30.94/7.53 % (3358965)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=702099407:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 30.94/7.53 % TRYING [1]
% 30.94/7.53 % TRYING [2]
% 30.94/7.53 % TRYING [3]
% 30.94/7.53 % TRYING [4]
% 30.94/7.53 % (3358963)Instruction limit reached!
% 30.94/7.53 % (3358963)------------------------------
% 30.94/7.53 % (3358963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.53 % (3358963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.53 % (3358963)CaDiCaL version: 2.1.3
% 30.94/7.53 % (3358963)Termination reason: Instruction limit
% 30.94/7.53 % (3358963)Termination phase: Saturation
% 30.94/7.53 % (3358963)Time elapsed: 0.351 s
% 30.94/7.56 % (3358963)Peak memory usage: 23 MB
% 30.94/7.56 % (3358963)Instructions burned: 692 (million)
% 30.94/7.56 % (3358969)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3825545679:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 30.94/7.56 % (3358961)Instruction limit reached!
% 30.94/7.56 % (3358961)------------------------------
% 30.94/7.56 % (3358961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358961)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358961)Termination reason: Instruction limit
% 30.94/7.56 % (3358961)Termination phase: Finite model building constraint generation
% 30.94/7.56 % (3358961)Time elapsed: 0.409 s
% 30.94/7.56 % (3358961)Peak memory usage: 105 MB
% 30.94/7.56 % (3358961)Instructions burned: 891 (million)
% 30.94/7.56 % TRYING [20]
% 30.94/7.56 % (3358971)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3771605688:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 30.94/7.56 % TRYING [8]
% 30.94/7.56 % (3358965)Instruction limit reached!
% 30.94/7.56 % (3358965)------------------------------
% 30.94/7.56 % (3358965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358965)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358965)Termination reason: Instruction limit
% 30.94/7.56 % (3358965)Termination phase: Saturation
% 30.94/7.56 % (3358965)Time elapsed: 0.362 s
% 30.94/7.56 % (3358965)Peak memory usage: 20 MB
% 30.94/7.56 % (3358965)Instructions burned: 879 (million)
% 30.94/7.56 % (3358973)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2684495892:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 30.94/7.56 % (3358971)Instruction limit reached!
% 30.94/7.56 % (3358971)------------------------------
% 30.94/7.56 % (3358971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358971)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358971)Termination reason: Instruction limit
% 30.94/7.56 % (3358971)Termination phase: Finite model building constraint generation
% 30.94/7.56 % (3358971)Time elapsed: 0.317 s
% 30.94/7.56 % (3358971)Peak memory usage: 68 MB
% 30.94/7.56 % (3358971)Instructions burned: 920 (million)
% 30.94/7.56 % (3358975)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2458359781:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 30.94/7.56 % (3358975)Instruction limit reached!
% 30.94/7.56 % (3358975)------------------------------
% 30.94/7.56 % (3358975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358975)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358975)Termination reason: Instruction limit
% 30.94/7.56 % (3358975)Termination phase: Saturation
% 30.94/7.56 % (3358975)Time elapsed: 0.743 s
% 30.94/7.56 % (3358975)Peak memory usage: 26 MB
% 30.94/7.56 % (3358975)Instructions burned: 1474 (million)
% 30.94/7.56 % (3358977)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3476644474:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 30.94/7.56 % (3358977)Cannot represent all propositional literals internally
% 30.94/7.56 % (3358977)Refutation not found, incomplete strategy
% 30.94/7.56 % (3358977)------------------------------
% 30.94/7.56 % (3358977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358977)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358977)Termination reason: Refutation not found, incomplete strategy
% 30.94/7.56 % (3358977)Time elapsed: 0.034 s
% 30.94/7.56 % (3358977)Peak memory usage: 12 MB
% 30.94/7.56 % (3358977)Instructions burned: 72 (million)
% 30.94/7.56 % (3358977)------------------------------
% 30.94/7.56 % (3358977)------------------------------
% 30.94/7.56 % TRYING [5]
% 30.94/7.56 % (3358979)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3253689850:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 30.94/7.56 % TRYING [16]
% 30.94/7.56 % TRYING [6]
% 30.94/7.56 % (3358979)Instruction limit reached!
% 30.94/7.56 % (3358979)------------------------------
% 30.94/7.56 % (3358979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358979)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358979)Termination reason: Instruction limit
% 30.94/7.56 % (3358979)Termination phase: Finite model building constraint generation
% 30.94/7.56 % (3358979)Time elapsed: 0.741 s
% 30.94/7.56 % (3358979)Peak memory usage: 127 MB
% 30.94/7.56 % (3358979)Instructions burned: 2177 (million)
% 30.94/7.56 % (3358981)ott-2_1_sil=16000:newcnf=on:random_seed=2639277227:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 30.94/7.56 % (3358981)Instruction limit reached!
% 30.94/7.56 % (3358981)------------------------------
% 30.94/7.56 % (3358981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358981)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358981)Termination reason: Instruction limit
% 30.94/7.56 % (3358981)Termination phase: Saturation
% 30.94/7.56 % (3358981)Time elapsed: 0.442 s
% 30.94/7.56 % (3358981)Peak memory usage: 33 MB
% 30.94/7.56 % (3358981)Instructions burned: 872 (million)
% 30.94/7.56 % (3358983)ott+10_1_sil=32000:tgt=ground:random_seed=1565054327:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 30.94/7.56 % (3358973)Instruction limit reached!
% 30.94/7.56 % (3358973)------------------------------
% 30.94/7.56 % (3358973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358973)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358973)Termination reason: Instruction limit
% 30.94/7.56 % (3358973)Termination phase: Saturation
% 30.94/7.56 % (3358973)Time elapsed: 2.438 s
% 30.94/7.56 % (3358973)Peak memory usage: 50 MB
% 30.94/7.56 % (3358973)Instructions burned: 5132 (million)
% 30.94/7.56 % (3358985)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3690163583:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 30.94/7.56 % TRYING [1]
% 30.94/7.56 % TRYING [2]
% 30.94/7.56 % TRYING [3]
% 30.94/7.56 % TRYING [4]
% 30.94/7.56 % TRYING [5]
% 30.94/7.56 % (3358969)Instruction limit reached!
% 30.94/7.56 % (3358969)------------------------------
% 30.94/7.56 % (3358969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358969)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358969)Termination reason: Instruction limit
% 30.94/7.56 % (3358969)Termination phase: Finite model building constraint generation
% 30.94/7.56 % (3358969)Time elapsed: 3.342 s
% 30.94/7.56 % (3358969)Peak memory usage: 664 MB
% 30.94/7.56 % (3358969)Instructions burned: 9517 (million)
% 30.94/7.56 % (3358987)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=478832578:i=3512:aac=none_2957 on theBenchmark for (2957ds/3512Mi)
% 30.94/7.56 % (3358966)Instruction limit reached!
% 30.94/7.56 % (3358966)------------------------------
% 30.94/7.56 % (3358966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358966)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358966)Termination reason: Instruction limit
% 30.94/7.56 % (3358966)Termination phase: Finite model building SAT solving
% 30.94/7.56 % (3358966)Time elapsed: 4.524 s
% 30.94/7.56 % (3358966)Peak memory usage: 430 MB
% 30.94/7.56 % (3358966)Instructions burned: 22063 (million)
% 30.94/7.56 % (3358989)dis+21_1_sil=32000:sas=cadical:random_seed=857524631:i=3773:amm=off_2948 on theBenchmark for (2948ds/3773Mi)
% 30.94/7.56 % TRYING [6]
% 30.94/7.56 % (3358987)Instruction limit reached!
% 30.94/7.56 % (3358987)------------------------------
% 30.94/7.56 % (3358987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358987)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358987)Termination reason: Instruction limit
% 30.94/7.56 % (3358987)Termination phase: Saturation
% 30.94/7.56 % (3358987)Time elapsed: 1.555 s
% 30.94/7.56 % (3358987)Peak memory usage: 79 MB
% 30.94/7.56 % (3358987)Instructions burned: 3513 (million)
% 30.94/7.56 % (3358991)ott+11_1_sil=16000:gs=on:random_seed=3021608237:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2941 on theBenchmark for (2941ds/2251Mi)
% 30.94/7.56 % (3358983)Instruction limit reached!
% 30.94/7.56 % (3358983)------------------------------
% 30.94/7.56 % (3358983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358983)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358983)Termination reason: Instruction limit
% 30.94/7.56 % (3358983)Termination phase: Saturation
% 30.94/7.56 % (3358983)Time elapsed: 2.714 s
% 30.94/7.56 % (3358983)Peak memory usage: 78 MB
% 30.94/7.56 % (3358983)Instructions burned: 5114 (million)
% 30.94/7.56 % (3358993)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=105549423:fmbsr=1.6:i=67534_2939 on theBenchmark for (2939ds/67534Mi)
% 30.94/7.56 % (3358989)Instruction limit reached!
% 30.94/7.56 % (3358989)------------------------------
% 30.94/7.56 % (3358989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358989)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358989)Termination reason: Instruction limit
% 30.94/7.56 % (3358989)Termination phase: Saturation
% 30.94/7.56 % (3358989)Time elapsed: 0.942 s
% 30.94/7.56 % (3358989)Peak memory usage: 61 MB
% 30.94/7.56 % (3358989)Instructions burned: 3773 (million)
% 30.94/7.56 % (3358995)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=312220614:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2938 on theBenchmark for (2938ds/4591Mi)
% 30.94/7.56 % TRYING [7]
% 30.94/7.56 % (3358991) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3358928-3358991"...
% 30.94/7.56 % (3358991)...printing done.
% 30.94/7.56 % (3358991)Refutation found. Thanks to Tanya!
% 30.94/7.56 % SZS status Theorem for theBenchmark
% 30.94/7.56 % SZS output start Proof for theBenchmark
% See solution above
% 30.94/7.56 % (3358991)------------------------------
% 30.94/7.56 % (3358991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.94/7.56 % (3358991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.94/7.56 % (3358991)CaDiCaL version: 2.1.3
% 30.94/7.56 % (3358991)Termination reason: Refutation
% 30.94/7.56 % (3358991)Time elapsed: 1.076 s
% 30.94/7.56 % (3358991)Peak memory usage: 37 MB
% 30.94/7.56 % (3358991)Instructions burned: 1978 (million)
% 30.94/7.56 % (3358928)Success in time 7.126 s
% 30.94/7.56 % Vampire exiting
%------------------------------------------------------------------------------