%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM324+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 : n012.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 12:18:20 PM UTC 2026
% Result : Theorem 3.36s 0.99s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 26 unt; 2 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 70 ~; 58 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-1 aty)
% Number of variables : 81 ( 0 sgn 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn3) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X0),rdnn(X1))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
fof(f289,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X1,rdn_neg(X4))
& rdn_positive_less(X3,X4)
& rdn_add_with_carry(rdnn(n0),X3,X5,X4)
& rdn_translate(X2,rdn_neg(X5)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_neg_1) ).
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(X0,nn5,nn3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_nn3) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(X0,nn5,nn3),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f405,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f406,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f405]) ).
fof(f427,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(X3,X4)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(ennf_transformation,[],[f289]) ).
fof(f428,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(X3,X4)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(flattening,[],[f427]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(ennf_transformation,[],[f297]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(flattening,[],[f441]) ).
fof(f450,plain,
! [X0] : ~ sum(X0,nn5,nn3),
inference(ennf_transformation,[],[f403]) ).
fof(f453,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f581,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f583,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f718,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f719,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f720,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f725,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(cnf_transformation,[],[f406]) ).
fof(f741,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_neg(X5)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f778,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f805,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f855,plain,
! [X0] : ~ sum(X0,nn5,nn3),
inference(cnf_transformation,[],[f450]) ).
fof(f1158,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2)
| ~ rdn_translate(nn5,rdn_neg(X2))
| ~ rdn_positive_less(X0,X2)
| ~ rdn_translate(nn3,rdn_neg(X1)) ),
inference(resolution,[],[f741,f855]) ).
fof(f1174,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_positive_less(rdnn(X0),rdnn(X3))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X3)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X1))) ),
inference(resolution,[],[f750,f1158]) ).
fof(f4377,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X1))) ),
inference(resolution,[],[f1174,f805]) ).
fof(f4395,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5))
| ~ rdn_translate(nn3,rdn_neg(rdnn(X1))) ),
inference(forward_subsumption_resolution,[],[f4377,f583]) ).
fof(f4411,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| ~ rdn_translate(nn3,rdn_neg(rdnn(n3))) ),
inference(resolution,[],[f4395,f778]) ).
fof(f4415,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5)) ),
inference(forward_subsumption_resolution,[],[f4411,f581]) ).
fof(f4417,definition,
( spl0_27
<=> rdn_positive_less(rdnn(n2),rdnn(n5)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f4419,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n5))
| spl0_27 ),
inference(avatar_component_clause,[],[f4417]) ).
fof(f4421,definition,
( spl0_28
<=> ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f4422,plain,
( ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f4421]) ).
fof(f4423,plain,
( ~ spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f4415,f4421,f4417]) ).
fof(f4437,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n5)) )
| spl0_27 ),
inference(resolution,[],[f4419,f725]) ).
fof(f4440,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n4))
| spl0_27 ),
inference(resolution,[],[f4437,f720]) ).
fof(f4454,plain,
( ! [X0] :
( ~ rdn_positive_less(rdnn(n2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X0),rdnn(n4)) )
| spl0_27 ),
inference(resolution,[],[f4440,f725]) ).
fof(f4457,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n3))
| spl0_27 ),
inference(resolution,[],[f4454,f719]) ).
fof(f4458,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f4457,f718]) ).
fof(f4459,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f4458]) ).
fof(f4477,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f4422,f453]) ).
fof(f4478,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f4477]) ).
cnf(s14,plain,
( ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f4423]) ).
cnf(s15,plain,
spl0_27,
inference(sat_conversion,[],[f4459]) ).
cnf(s16,plain,
~ spl0_28,
inference(sat_conversion,[],[f4478]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s14,s16,s15]) ).
fof(f4479,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM324+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 19:32:49 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 3.36/0.99 % (2687474)Will run a generic schedule for satisfiability detection.
% 3.36/0.99 % (2687480)% WARNING: option uhcvi not known.
% 3.36/0.99 % (2687485)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3128116072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.36/0.99 % (2687483)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2322767884:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.36/0.99 % (2687479)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=769543049_2999 on theBenchmark for (2999ds/0Mi)
% 3.36/0.99 % (2687482)dis+10_1_sil=32000:sp=arity:random_seed=981927321:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.36/0.99 % (2687481)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3988000789:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.36/0.99 % (2687480)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3326798107:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.36/0.99 % (2687484)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2177603346:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.36/0.99 % TRYING [1]
% 3.36/0.99 % TRYING [2]
% 3.36/0.99 % (2687482)Instruction limit reached!
% 3.36/0.99 % (2687482)------------------------------
% 3.36/0.99 % (2687482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687482)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687482)Termination reason: Instruction limit
% 3.36/0.99 % (2687482)Termination phase: Saturation
% 3.36/0.99 % (2687482)Time elapsed: 0.027 s
% 3.36/0.99 % (2687482)Peak memory usage: 13 MB
% 3.36/0.99 % (2687482)Instructions burned: 105 (million)
% 3.36/0.99 % TRYING [3]
% 3.36/0.99 % (2687484)Instruction limit reached!
% 3.36/0.99 % (2687484)------------------------------
% 3.36/0.99 % (2687484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687484)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687484)Termination reason: Instruction limit
% 3.36/0.99 % (2687484)Termination phase: Saturation
% 3.36/0.99 % (2687484)Time elapsed: 0.034 s
% 3.36/0.99 % (2687484)Peak memory usage: 14 MB
% 3.36/0.99 % (2687484)Instructions burned: 134 (million)
% 3.36/0.99 % (2687483)Instruction limit reached!
% 3.36/0.99 % (2687483)------------------------------
% 3.36/0.99 % (2687483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687483)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687483)Termination reason: Instruction limit
% 3.36/0.99 % (2687483)Termination phase: Saturation
% 3.36/0.99 % (2687483)Time elapsed: 0.035 s
% 3.36/0.99 % (2687483)Peak memory usage: 13 MB
% 3.36/0.99 % (2687483)Instructions burned: 118 (million)
% 3.36/0.99 % (2687493)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2930518896:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.36/0.99 % (2687494)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1517048309:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.36/0.99 % (2687495)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=2052062353:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.36/0.99 % (2687485)Instruction limit reached!
% 3.36/0.99 % (2687485)------------------------------
% 3.36/0.99 % (2687485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687485)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687485)Termination reason: Instruction limit
% 3.36/0.99 % (2687485)Termination phase: Saturation
% 3.36/0.99 % (2687485)Time elapsed: 0.049 s
% 3.36/0.99 % (2687485)Peak memory usage: 14 MB
% 3.36/0.99 % (2687485)Instructions burned: 160 (million)
% 3.36/0.99 % TRYING [1]
% 3.36/0.99 % TRYING [2]
% 3.36/0.99 % (2687499)ott-21_1_sil=16000:fs=off:random_seed=2565411669:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.36/0.99 % TRYING [4]
% 3.36/0.99 % TRYING [3]
% 3.36/0.99 % (2687494)Instruction limit reached!
% 3.36/0.99 % (2687494)------------------------------
% 3.36/0.99 % (2687494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687494)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687494)Termination reason: Instruction limit
% 3.36/0.99 % (2687494)Termination phase: Saturation
% 3.36/0.99 % (2687494)Time elapsed: 0.035 s
% 3.36/0.99 % (2687494)Peak memory usage: 14 MB
% 3.36/0.99 % (2687494)Instructions burned: 132 (million)
% 3.36/0.99 % (2687501)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1080833104:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.36/0.99 % (2687499)Instruction limit reached!
% 3.36/0.99 % (2687499)------------------------------
% 3.36/0.99 % (2687499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687499)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687499)Termination reason: Instruction limit
% 3.36/0.99 % (2687499)Termination phase: Saturation
% 3.36/0.99 % (2687499)Time elapsed: 0.044 s
% 3.36/0.99 % (2687499)Peak memory usage: 12 MB
% 3.36/0.99 % (2687499)Instructions burned: 184 (million)
% 3.36/0.99 % (2687503)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3033607371:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.36/0.99 % TRYING [4]
% 3.36/0.99 % TRYING [1]
% 3.36/0.99 % TRYING [2]
% 3.36/0.99 % TRYING [3]
% 3.36/0.99 % (2687493)Instruction limit reached!
% 3.36/0.99 % (2687493)------------------------------
% 3.36/0.99 % (2687493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687493)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687493)Termination reason: Instruction limit
% 3.36/0.99 % (2687493)Termination phase: Finite model building constraint generation
% 3.36/0.99 % (2687493)Time elapsed: 0.149 s
% 3.36/0.99 % (2687493)Peak memory usage: 38 MB
% 3.36/0.99 % (2687493)Instructions burned: 716 (million)
% 3.36/0.99 % (2687505)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4286492879:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.36/0.99 % (2687501)Instruction limit reached!
% 3.36/0.99 % (2687501)------------------------------
% 3.36/0.99 % (2687501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687501)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687501)Termination reason: Instruction limit
% 3.36/0.99 % (2687501)Termination phase: Saturation
% 3.36/0.99 % (2687501)Time elapsed: 0.136 s
% 3.36/0.99 % (2687501)Peak memory usage: 17 MB
% 3.36/0.99 % (2687501)Instructions burned: 480 (million)
% 3.36/0.99 % (2687495)Instruction limit reached!
% 3.36/0.99 % (2687495)------------------------------
% 3.36/0.99 % (2687495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687495)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687495)Termination reason: Instruction limit
% 3.36/0.99 % (2687495)Termination phase: Saturation
% 3.36/0.99 % (2687495)Time elapsed: 0.184 s
% 3.36/0.99 % (2687495)Peak memory usage: 22 MB
% 3.36/0.99 % (2687495)Instructions burned: 684 (million)
% 3.36/0.99 % (2687507)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3675756816:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 3.36/0.99 % (2687508)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=1322282272:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 3.36/0.99 % TRYING [5]
% 3.36/0.99 % TRYING [4]
% 3.36/0.99 % (2687503)Instruction limit reached!
% 3.36/0.99 % (2687503)------------------------------
% 3.36/0.99 % (2687503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687503)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687503)Termination reason: Instruction limit
% 3.36/0.99 % (2687503)Termination phase: Finite model building constraint generation
% 3.36/0.99 % (2687503)Time elapsed: 0.175 s
% 3.36/0.99 % (2687503)Peak memory usage: 24 MB
% 3.36/0.99 % (2687503)Instructions burned: 870 (million)
% 3.36/0.99 % (2687511)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2769002072:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 3.36/0.99 % (2687508)Instruction limit reached!
% 3.36/0.99 % (2687508)------------------------------
% 3.36/0.99 % (2687508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687508)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687508)Termination reason: Instruction limit
% 3.36/0.99 % (2687508)Termination phase: Saturation
% 3.36/0.99 % (2687508)Time elapsed: 0.183 s
% 3.36/0.99 % (2687508)Peak memory usage: 25 MB
% 3.36/0.99 % (2687508)Instructions burned: 694 (million)
% 3.36/0.99 % (2687513)fmb+10_1_sil=64000:random_seed=1678966619:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 3.36/0.99 % TRYING [1]
% 3.36/0.99 % TRYING [2]
% 3.36/0.99 % (2687507)Instruction limit reached!
% 3.36/0.99 % (2687507)------------------------------
% 3.36/0.99 % (2687507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687507)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687507)Termination reason: Instruction limit
% 3.36/0.99 % (2687507)Termination phase: Finite model building constraint generation
% 3.36/0.99 % (2687507)Time elapsed: 0.244 s
% 3.36/0.99 % (2687507)Peak memory usage: 101 MB
% 3.36/0.99 % (2687507)Instructions burned: 891 (million)
% 3.36/0.99 % TRYING [3]
% 3.36/0.99 % (2687511)Instruction limit reached!
% 3.36/0.99 % (2687511)------------------------------
% 3.36/0.99 % (2687511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687511)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687511)Termination reason: Instruction limit
% 3.36/0.99 % (2687511)Termination phase: Saturation
% 3.36/0.99 % (2687511)Time elapsed: 0.194 s
% 3.36/0.99 % (2687511)Peak memory usage: 20 MB
% 3.36/0.99 % (2687511)Instructions burned: 880 (million)
% 3.36/0.99 % (2687515)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2740199636:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 3.36/0.99 % (2687516)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=736935301:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 3.36/0.99 % TRYING [20]
% 3.36/0.99 % TRYING [8]
% 3.36/0.99 % (2687505)Instruction limit reached!
% 3.36/0.99 % (2687505)------------------------------
% 3.36/0.99 % (2687505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687505)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687505)Termination reason: Instruction limit
% 3.36/0.99 % (2687505)Termination phase: Saturation
% 3.36/0.99 % (2687505)Time elapsed: 0.333 s
% 3.36/0.99 % (2687505)Peak memory usage: 35 MB
% 3.36/0.99 % (2687505)Instructions burned: 1180 (million)
% 3.36/0.99 % (2687519)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1197514941:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 3.36/0.99 % (2687519) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2687474-2687519"...
% 3.36/0.99 % (2687519)...printing done.
% 3.36/0.99 % (2687519)Refutation found. Thanks to Tanya!
% 3.36/0.99 % SZS status Theorem for theBenchmark
% 3.36/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/0.99 % (2687519)------------------------------
% 3.36/0.99 % (2687519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.36/0.99 % (2687519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/0.99 % (2687519)CaDiCaL version: 2.1.3
% 3.36/0.99 % (2687519)Termination reason: Refutation
% 3.36/0.99 % (2687519)Time elapsed: 0.066 s
% 3.36/0.99 % (2687519)Peak memory usage: 14 MB
% 3.36/0.99 % (2687519)Instructions burned: 268 (million)
% 3.36/0.99 % (2687474)Success in time 0.656 s
% 3.36/0.99 % Vampire exiting
%------------------------------------------------------------------------------