%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM313+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 : n004.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 12:18:18 PM UTC 2026
% Result : Theorem 22.63s 7.50s
% Output : Refutation 49.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 81 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 36 ~; 32 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 72 ( 71 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
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(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(f295,axiom,
! [X0,X1,X2,X3] :
( ( sum(X0,X1,X3)
& sum(X0,X2,X3) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',unique_RHS) ).
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,
! [X0] :
( sum(n2,X0,n5)
=> X0 = n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sumn2_only_n3_n5) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,X0,n5)
=> X0 = n3 ),
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(f439,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ sum(X0,X1,X3)
| ~ sum(X0,X2,X3) ),
inference(ennf_transformation,[],[f295]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ sum(X0,X1,X3)
| ~ sum(X0,X2,X3) ),
inference(flattening,[],[f439]) ).
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] :
( n3 != X0
& sum(n2,X0,n5) ),
inference(ennf_transformation,[],[f403]) ).
fof(f454,plain,
( n3 != sK0
& sum(n2,sK0,n5) ),
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(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(f751,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ sum(X0,X1,X3)
| X1 = X2 ),
inference(cnf_transformation,[],[f440]) ).
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,sK0,n5),
inference(cnf_transformation,[],[f454]) ).
fof(f860,plain,
n3 != sK0,
inference(cnf_transformation,[],[f454]) ).
fof(f869,plain,
! [X0] :
( ~ sum(n2,X0,n5)
| sK0 = X0 ),
inference(resolution,[],[f751,f859]) ).
fof(f1065,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(f1428,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(resolution,[],[f1065,f782]) ).
fof(f2187,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,[],[f1428,f743]) ).
fof(f5153,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_pos(rdnn(n2)))
| sum(X1,X0,n5)
| ~ rdn_translate(X0,rdn_pos(rdnn(n3))) ),
inference(resolution,[],[f2187,f460]) ).
fof(f9981,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| sum(n2,X0,n5) ),
inference(resolution,[],[f5153,f457]) ).
fof(f21522,plain,
sum(n2,n3,n5),
inference(resolution,[],[f9981,f458]) ).
fof(f24148,plain,
n3 = sK0,
inference(resolution,[],[f21522,f869]) ).
fof(f24153,plain,
$false,
inference(global_subsumption,[],[f24148,f860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM313+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 19:31:23 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 14.45/2.51 % (3825617)Will run a generic schedule for satisfiability detection.
% 14.45/2.51 % (3825627)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=67041271:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.45/2.51 % (3825623)% WARNING: option uhcvi not known.
% 14.45/2.51 % (3825624)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1706475529:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.45/2.51 % (3825622)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1179212144_2999 on theBenchmark for (2999ds/0Mi)
% 14.45/2.51 % (3825623)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=418728028:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.45/2.51 % (3825625)dis+10_1_sil=32000:sp=arity:random_seed=3854308812:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.45/2.51 % (3825626)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1551104870:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.45/2.51 % (3825628)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3791823999:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.45/2.51 % (3825627)Instruction limit reached!
% 14.45/2.51 % (3825627)------------------------------
% 14.45/2.51 % (3825627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (3825627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (3825627)CaDiCaL version: 2.1.3
% 14.45/2.51 % (3825627)Termination reason: Instruction limit
% 14.45/2.51 % (3825627)Termination phase: Saturation
% 14.45/2.51 % (3825627)Time elapsed: 0.034 s
% 14.45/2.51 % (3825627)Peak memory usage: 14 MB
% 14.45/2.51 % (3825627)Instructions burned: 135 (million)
% 14.45/2.51 % TRYING [1]
% 14.45/2.51 % TRYING [2]
% 14.45/2.51 % (3825636)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2144804681:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.45/2.51 % (3825625)Instruction limit reached!
% 14.45/2.51 % (3825625)------------------------------
% 14.45/2.51 % (3825625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (3825625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (3825625)CaDiCaL version: 2.1.3
% 14.45/2.51 % (3825625)Termination reason: Instruction limit
% 14.45/2.51 % (3825625)Termination phase: Saturation
% 14.45/2.51 % (3825625)Time elapsed: 0.048 s
% 14.45/2.51 % (3825625)Peak memory usage: 13 MB
% 14.45/2.51 % (3825625)Instructions burned: 104 (million)
% 14.45/2.51 % TRYING [3]
% 14.45/2.51 % TRYING [1]
% 14.45/2.51 % TRYING [2]
% 14.45/2.51 % (3825626)Instruction limit reached!
% 14.45/2.51 % (3825626)------------------------------
% 14.45/2.51 % (3825626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (3825626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (3825626)CaDiCaL version: 2.1.3
% 14.45/2.51 % (3825626)Termination reason: Instruction limit
% 14.45/2.51 % (3825626)Termination phase: Saturation
% 14.45/2.51 % (3825626)Time elapsed: 0.062 s
% 14.45/2.51 % (3825626)Peak memory usage: 13 MB
% 14.45/2.51 % (3825626)Instructions burned: 118 (million)
% 14.45/2.51 % TRYING [3]
% 14.45/2.51 % (3825638)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1210755207:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.45/2.51 % (3825628)Instruction limit reached!
% 14.45/2.51 % (3825628)------------------------------
% 14.45/2.51 % (3825628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (3825628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (3825628)CaDiCaL version: 2.1.3
% 14.45/2.51 % (3825628)Termination reason: Instruction limit
% 14.45/2.51 % (3825628)Termination phase: Saturation
% 14.45/2.51 % (3825628)Time elapsed: 0.073 s
% 14.45/2.51 % (3825628)Peak memory usage: 14 MB
% 14.45/2.51 % (3825628)Instructions burned: 160 (million)
% 14.45/2.51 % (3825639)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=657934897:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.45/2.51 % (3825641)ott-21_1_sil=16000:fs=off:random_seed=4105444078:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.45/2.51 % TRYING [4]
% 14.45/2.51 % TRYING [4]
% 14.45/2.51 % (3825638)Instruction limit reached!
% 14.45/2.51 % (3825638)------------------------------
% 14.45/2.51 % (3825638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (3825638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825638)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825638)Termination reason: Instruction limit
% 35.06/5.46 % (3825638)Termination phase: Saturation
% 35.06/5.46 % (3825638)Time elapsed: 0.065 s
% 35.06/5.46 % (3825638)Peak memory usage: 14 MB
% 35.06/5.46 % (3825638)Instructions burned: 132 (million)
% 35.06/5.46 % (3825644)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3449295575:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 35.06/5.46 % (3825641)Instruction limit reached!
% 35.06/5.46 % (3825641)------------------------------
% 35.06/5.46 % (3825641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825641)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825641)Termination reason: Instruction limit
% 35.06/5.46 % (3825641)Termination phase: Saturation
% 35.06/5.46 % (3825641)Time elapsed: 0.081 s
% 35.06/5.46 % (3825641)Peak memory usage: 13 MB
% 35.06/5.46 % (3825641)Instructions burned: 182 (million)
% 35.06/5.46 % (3825636)Instruction limit reached!
% 35.06/5.46 % (3825636)------------------------------
% 35.06/5.46 % (3825636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825636)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825636)Termination reason: Instruction limit
% 35.06/5.46 % (3825636)Termination phase: Finite model building constraint generation
% 35.06/5.46 % (3825636)Time elapsed: 0.143 s
% 35.06/5.46 % (3825636)Peak memory usage: 38 MB
% 35.06/5.46 % (3825636)Instructions burned: 715 (million)
% 35.06/5.46 % (3825647)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1797366046:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.06/5.46 % (3825646)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2161827105:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.06/5.46 % TRYING [1]
% 35.06/5.46 % TRYING [2]
% 35.06/5.46 % TRYING [3]
% 35.06/5.46 % (3825644)Instruction limit reached!
% 35.06/5.46 % (3825644)------------------------------
% 35.06/5.46 % (3825644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825644)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825644)Termination reason: Instruction limit
% 35.06/5.46 % (3825644)Termination phase: Saturation
% 35.06/5.46 % (3825644)Time elapsed: 0.246 s
% 35.06/5.46 % (3825644)Peak memory usage: 17 MB
% 35.06/5.46 % (3825644)Instructions burned: 479 (million)
% 35.06/5.46 % (3825650)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1880516005:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.06/5.46 % (3825639)Instruction limit reached!
% 35.06/5.46 % (3825639)------------------------------
% 35.06/5.46 % (3825639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825639)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825639)Termination reason: Instruction limit
% 35.06/5.46 % (3825639)Termination phase: Saturation
% 35.06/5.46 % (3825639)Time elapsed: 0.355 s
% 35.06/5.46 % (3825639)Peak memory usage: 23 MB
% 35.06/5.46 % (3825639)Instructions burned: 684 (million)
% 35.06/5.46 % (3825652)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=2085518204: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)
% 35.06/5.46 % TRYING [5]
% 35.06/5.46 % (3825646)Instruction limit reached!
% 35.06/5.46 % (3825646)------------------------------
% 35.06/5.46 % (3825646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.46 % (3825646)CaDiCaL version: 2.1.3
% 35.06/5.46 % (3825646)Termination reason: Instruction limit
% 35.06/5.46 % (3825646)Termination phase: Finite model building constraint generation
% 35.06/5.46 % (3825646)Time elapsed: 0.319 s
% 35.06/5.46 % (3825646)Peak memory usage: 23 MB
% 35.06/5.46 % (3825646)Instructions burned: 865 (million)
% 35.06/5.46 % (3825647)Instruction limit reached!
% 35.06/5.46 % (3825647)------------------------------
% 35.06/5.46 % (3825647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.46 % (3825647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825647)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825647)Termination reason: Instruction limit
% 22.63/7.50 % (3825647)Termination phase: Saturation
% 22.63/7.50 % (3825647)Time elapsed: 0.330 s
% 22.63/7.50 % (3825647)Peak memory usage: 35 MB
% 22.63/7.50 % (3825647)Instructions burned: 1179 (million)
% 22.63/7.50 % (3825655)fmb+10_1_sil=64000:random_seed=1577811865:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 22.63/7.50 % (3825654)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3177876238:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 22.63/7.50 % TRYING [1]
% 22.63/7.50 % TRYING [2]
% 22.63/7.50 % TRYING [3]
% 22.63/7.50 % TRYING [4]
% 22.63/7.50 % (3825652)Instruction limit reached!
% 22.63/7.50 % (3825652)------------------------------
% 22.63/7.50 % (3825652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825652)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825652)Termination reason: Instruction limit
% 22.63/7.50 % (3825652)Termination phase: Saturation
% 22.63/7.50 % (3825652)Time elapsed: 0.330 s
% 22.63/7.50 % (3825652)Peak memory usage: 26 MB
% 22.63/7.50 % (3825652)Instructions burned: 693 (million)
% 22.63/7.50 % (3825658)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1821427362:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 22.63/7.50 % (3825650)Instruction limit reached!
% 22.63/7.50 % (3825650)------------------------------
% 22.63/7.50 % (3825650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825650)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825650)Termination reason: Instruction limit
% 22.63/7.50 % (3825650)Termination phase: Finite model building constraint generation
% 22.63/7.50 % (3825650)Time elapsed: 0.411 s
% 22.63/7.50 % (3825650)Peak memory usage: 106 MB
% 22.63/7.50 % (3825650)Instructions burned: 891 (million)
% 22.63/7.50 % TRYING [20]
% 22.63/7.50 % (3825660)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=321730687:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 22.63/7.50 % TRYING [8]
% 22.63/7.50 % (3825654)Instruction limit reached!
% 22.63/7.50 % (3825654)------------------------------
% 22.63/7.50 % (3825654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825654)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825654)Termination reason: Instruction limit
% 22.63/7.50 % (3825654)Termination phase: Saturation
% 22.63/7.50 % (3825654)Time elapsed: 0.385 s
% 22.63/7.50 % (3825654)Peak memory usage: 23 MB
% 22.63/7.50 % (3825654)Instructions burned: 880 (million)
% 22.63/7.50 % (3825662)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2230716446:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 22.63/7.50 % (3825660)Instruction limit reached!
% 22.63/7.50 % (3825660)------------------------------
% 22.63/7.50 % (3825660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825660)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825660)Termination reason: Instruction limit
% 22.63/7.50 % (3825660)Termination phase: Finite model building constraint generation
% 22.63/7.50 % (3825660)Time elapsed: 0.313 s
% 22.63/7.50 % (3825660)Peak memory usage: 68 MB
% 22.63/7.50 % (3825660)Instructions burned: 921 (million)
% 22.63/7.50 % (3825664)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1985913200:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 22.63/7.50 % (3825664)Instruction limit reached!
% 22.63/7.50 % (3825664)------------------------------
% 22.63/7.50 % (3825664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825664)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825664)Termination reason: Instruction limit
% 22.63/7.50 % (3825664)Termination phase: Saturation
% 22.63/7.50 % (3825664)Time elapsed: 0.761 s
% 22.63/7.50 % (3825664)Peak memory usage: 30 MB
% 22.63/7.50 % (3825664)Instructions burned: 1473 (million)
% 22.63/7.50 % (3825666)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1039292039:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 22.63/7.50 % (3825666)Cannot represent all propositional literals internally
% 22.63/7.50 % (3825666)Refutation not found, incomplete strategy
% 22.63/7.50 % (3825666)------------------------------
% 22.63/7.50 % (3825666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825666)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825666)Termination reason: Refutation not found, incomplete strategy
% 22.63/7.50 % (3825666)Time elapsed: 0.033 s
% 22.63/7.50 % (3825666)Peak memory usage: 12 MB
% 22.63/7.50 % (3825666)Instructions burned: 72 (million)
% 22.63/7.50 % (3825666)------------------------------
% 22.63/7.50 % (3825666)------------------------------
% 22.63/7.50 % (3825668)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=16450490:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 22.63/7.50 % TRYING [16]
% 22.63/7.50 % TRYING [5]
% 22.63/7.50 % TRYING [6]
% 22.63/7.50 % (3825668)Instruction limit reached!
% 22.63/7.50 % (3825668)------------------------------
% 22.63/7.50 % (3825668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825668)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825668)Termination reason: Instruction limit
% 22.63/7.50 % (3825668)Termination phase: Finite model building constraint generation
% 22.63/7.50 % (3825668)Time elapsed: 0.738 s
% 22.63/7.50 % (3825668)Peak memory usage: 126 MB
% 22.63/7.50 % (3825668)Instructions burned: 2177 (million)
% 22.63/7.50 % (3825670)ott-2_1_sil=16000:newcnf=on:random_seed=1293259606:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 22.63/7.50 % (3825670)Instruction limit reached!
% 22.63/7.50 % (3825670)------------------------------
% 22.63/7.50 % (3825670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825670)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825670)Termination reason: Instruction limit
% 22.63/7.50 % (3825670)Termination phase: Saturation
% 22.63/7.50 % (3825670)Time elapsed: 0.367 s
% 22.63/7.50 % (3825670)Peak memory usage: 17 MB
% 22.63/7.50 % (3825670)Instructions burned: 870 (million)
% 22.63/7.50 % (3825672)ott+10_1_sil=32000:tgt=ground:random_seed=1719201250:i=5114:av=off_2967 on theBenchmark for (2967ds/5114Mi)
% 22.63/7.50 % (3825662)Instruction limit reached!
% 22.63/7.50 % (3825662)------------------------------
% 22.63/7.50 % (3825662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825662)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825662)Termination reason: Instruction limit
% 22.63/7.50 % (3825662)Termination phase: Saturation
% 22.63/7.50 % (3825662)Time elapsed: 2.432 s
% 22.63/7.50 % (3825662)Peak memory usage: 50 MB
% 22.63/7.50 % (3825662)Instructions burned: 5132 (million)
% 22.63/7.50 % (3825674)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4129045299:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 22.63/7.50 % TRYING [1]
% 22.63/7.50 % TRYING [2]
% 22.63/7.50 % TRYING [3]
% 22.63/7.50 % TRYING [4]
% 22.63/7.50 % TRYING [5]
% 22.63/7.50 % (3825658)Instruction limit reached!
% 22.63/7.50 % (3825658)------------------------------
% 22.63/7.50 % (3825658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825658)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825658)Termination reason: Instruction limit
% 22.63/7.50 % (3825658)Termination phase: Finite model building constraint generation
% 22.63/7.50 % (3825658)Time elapsed: 3.383 s
% 22.63/7.50 % (3825658)Peak memory usage: 663 MB
% 22.63/7.50 % (3825658)Instructions burned: 9516 (million)
% 22.63/7.50 % (3825676)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2403877285:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 22.63/7.50 % (3825655)Instruction limit reached!
% 22.63/7.50 % (3825655)------------------------------
% 22.63/7.50 % (3825655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825655)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825655)Termination reason: Instruction limit
% 22.63/7.50 % (3825655)Termination phase: Finite model building SAT solving
% 22.63/7.50 % (3825655)Time elapsed: 4.394 s
% 22.63/7.50 % (3825655)Peak memory usage: 430 MB
% 22.63/7.50 % (3825655)Instructions burned: 22065 (million)
% 22.63/7.50 % (3825678)dis+21_1_sil=32000:sas=cadical:random_seed=2980762351:i=3773:amm=off_2949 on theBenchmark for (2949ds/3773Mi)
% 22.63/7.50 % TRYING [6]
% 22.63/7.50 % (3825672)Instruction limit reached!
% 22.63/7.50 % (3825672)------------------------------
% 22.63/7.50 % (3825672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825672)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825672)Termination reason: Instruction limit
% 22.63/7.50 % (3825672)Termination phase: Saturation
% 22.63/7.50 % (3825672)Time elapsed: 2.660 s
% 22.63/7.50 % (3825672)Peak memory usage: 77 MB
% 22.63/7.50 % (3825672)Instructions burned: 5115 (million)
% 22.63/7.50 % (3825678)Instruction limit reached!
% 22.63/7.50 % (3825678)------------------------------
% 22.63/7.50 % (3825678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825678)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825678)Termination reason: Instruction limit
% 22.63/7.50 % (3825678)Termination phase: Saturation
% 22.63/7.50 % (3825678)Time elapsed: 0.900 s
% 22.63/7.50 % (3825678)Peak memory usage: 62 MB
% 22.63/7.50 % (3825678)Instructions burned: 3776 (million)
% 22.63/7.50 % (3825676)Instruction limit reached!
% 22.63/7.50 % (3825676)------------------------------
% 22.63/7.50 % (3825676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.63/7.50 % (3825676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.63/7.50 % (3825676)CaDiCaL version: 2.1.3
% 22.63/7.50 % (3825676)Termination reason: Instruction limit
% 22.63/7.50 % (3825676)Termination phase: Saturation
% 22.63/7.50 % (3825676)Time elapsed: 1.580 s
% 22.63/7.50 % (3825676)Peak memory usage: 40 MB
% 22.63/7.50 % (3825676)Instructions burned: 3513 (million)
% 22.63/7.50 % (3825681)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2470600358:fmbsr=1.6:i=67534_2940 on theBenchmark for (2940ds/67534Mi)
% 22.63/7.50 % (3825680)ott+11_1_sil=16000:gs=on:random_seed=1561338831:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2940 on theBenchmark for (2940ds/2251Mi)
% 22.63/7.50 % (3825684)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3926627769:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2940 on theBenchmark for (2940ds/4591Mi)
% 22.63/7.50 % TRYING [7]
% 22.63/7.50 % (3825680) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3825617-3825680"...
% 22.63/7.50 % (3825680)...printing done.
% 22.63/7.50 % (3825680)Refutation found. Thanks to Tanya!
% 22.63/7.50 % SZS status Theorem for theBenchmark
% 22.63/7.50 % SZS output start Proof for theBenchmark
% See solution above
% 49.60/7.50 % (3825680)------------------------------
% 49.60/7.50 % (3825680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.60/7.50 % (3825680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.60/7.50 % (3825680)CaDiCaL version: 2.1.3
% 49.60/7.50 % (3825680)Termination reason: Refutation
% 49.60/7.50 % (3825680)Time elapsed: 1.013 s
% 49.60/7.50 % (3825680)Peak memory usage: 37 MB
% 49.60/7.50 % (3825680)Instructions burned: 1898 (million)
% 49.60/7.50 % (3825617)Success in time 7.051 s
% 49.60/7.50 % Vampire exiting
%------------------------------------------------------------------------------