%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM417^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Wed Sep 30 08:18:18 AM UTC 2026
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 173 ( 10 ~; 0 |; 0 &; 163 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 1 con; 0-4 aty)
% Number of variables : 36 ( 24 ^; 12 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
zero: ( $i > $i ) > $i > $i ).
thf(func_def_1,type,
one: ( $i > $i ) > $i > $i ).
thf(func_def_2,type,
two: ( $i > $i ) > $i > $i ).
thf(func_def_3,type,
three: ( $i > $i ) > $i > $i ).
thf(func_def_4,type,
four: ( $i > $i ) > $i > $i ).
thf(func_def_5,type,
five: ( $i > $i ) > $i > $i ).
thf(func_def_6,type,
six: ( $i > $i ) > $i > $i ).
thf(func_def_7,type,
seven: ( $i > $i ) > $i > $i ).
thf(func_def_8,type,
eight: ( $i > $i ) > $i > $i ).
thf(func_def_9,type,
nine: ( $i > $i ) > $i > $i ).
thf(func_def_10,type,
ten: ( $i > $i ) > $i > $i ).
thf(func_def_11,type,
succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_12,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_13,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_15,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK0: $i > $i ).
thf(f14,axiom,
( mult
= ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',mult_ax) ).
thf(f15,conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f16,negated_conjecture,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f26,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f31,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(flattening,[],[f16]) ).
thf(f33,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f34,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f36,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f37,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) @ sK0 )
!= ( mult @ ( mult @ ( mult @ ten @ ten ) @ ten ) @ ten @ sK0 ) ),
inference(negative_extensionality,[],[f33]) ).
thf(f43,plain,
! [X1: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i] : ( Y0 @ ( Y1 @ Y2 ) )
@ X1 )
= ( mult @ X1 ) ),
inference(argument_congruence,[],[f36]) ).
thf(f44,plain,
! [X1: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: $i > $i] : ( X1 @ ( Y0 @ Y1 ) ) )
= ( mult @ X1 ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f54,plain,
! [X2: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: $i > $i] : ( X1 @ ( Y0 @ Y1 ) )
@ X2 )
= ( mult @ X1 @ X2 ) ),
inference(argument_congruence,[],[f44]) ).
thf(f55,plain,
! [X2: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] : ( X1 @ ( X2 @ Y0 ) ) )
= ( mult @ X1 @ X2 ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f78,plain,
! [X2: ( $i > $i ) > $i > $i,X3: $i > $i,X1: ( $i > $i ) > $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( ^ [Y0: $i > $i] : ( X1 @ ( X2 @ Y0 ) )
@ X3 ) ),
inference(argument_congruence,[],[f55]) ).
thf(f79,plain,
! [X2: ( $i > $i ) > $i > $i,X3: $i > $i,X1: ( $i > $i ) > $i > $i] :
( ( mult @ X1 @ X2 @ X3 )
= ( X1 @ ( X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f116,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) @ sK0 )
!= ( mult @ ( mult @ ten @ ten ) @ ten @ ( ten @ sK0 ) ) ),
inference(superposition,[],[f37,f79]) ).
thf(f117,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) @ sK0 )
!= ( mult @ ten @ ten @ ( ten @ ( ten @ sK0 ) ) ) ),
inference(forward_demodulation,[],[f116,f79]) ).
thf(f118,plain,
( ( mult @ ( mult @ ten @ ten ) @ ( mult @ ten @ ten ) @ sK0 )
!= ( ten @ ( ten @ ( ten @ ( ten @ sK0 ) ) ) ) ),
inference(forward_demodulation,[],[f117,f79]) ).
thf(f119,plain,
( ( ten @ ( ten @ ( ten @ ( ten @ sK0 ) ) ) )
!= ( mult @ ten @ ten @ ( mult @ ten @ ten @ sK0 ) ) ),
inference(forward_demodulation,[],[f118,f79]) ).
thf(f120,plain,
( ( ten @ ( ten @ ( mult @ ten @ ten @ sK0 ) ) )
!= ( ten @ ( ten @ ( ten @ ( ten @ sK0 ) ) ) ) ),
inference(forward_demodulation,[],[f119,f79]) ).
thf(f121,plain,
( ( ten @ ( ten @ ( ten @ ( ten @ sK0 ) ) ) )
!= ( ten @ ( ten @ ( ten @ ( ten @ sK0 ) ) ) ) ),
inference(forward_demodulation,[],[f120,f79]) ).
thf(f122,plain,
$false,
inference(trivial_inequality_removal,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM417^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 12:02:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.38 % (1157492)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.38 % (1157500)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3322466948:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.38 % (1157503)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.38 % (1157503)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.38 % (1157498)lrs+10_16_si=on:nwc=1.5:random_seed=2802735537:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (1157499)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3579241245:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38 % (1157497)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=176935197:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.38 % (1157501)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3237142531:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.38 % (1157502)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3278054142:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.38 % (1157503)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4077175729:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.38 % (1157499)Instruction limit reached!
% 0.21/0.38 % (1157499)------------------------------
% 0.21/0.38 % (1157499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157499)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157499)Termination reason: Instruction limit
% 0.21/0.38 % (1157499)Termination phase: Saturation
% 0.21/0.38 % (1157499)Time elapsed: 0.002 s
% 0.21/0.38 % (1157499)Peak memory usage: 11 MB
% 0.21/0.38 % (1157499)Instructions burned: 5 (million)
% 0.21/0.38 % (1157498)Instruction limit reached!
% 0.21/0.38 % (1157498)------------------------------
% 0.21/0.38 % (1157498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157498)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157498)Termination reason: Instruction limit
% 0.21/0.38 % (1157498)Termination phase: Saturation
% 0.21/0.38 % (1157498)Time elapsed: 0.008 s
% 0.21/0.38 % (1157498)Peak memory usage: 11 MB
% 0.21/0.38 % (1157498)Instructions burned: 19 (million)
% 0.21/0.38 % (1157501)Instruction limit reached!
% 0.21/0.38 % (1157501)------------------------------
% 0.21/0.38 % (1157501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157501)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157501)Termination reason: Instruction limit
% 0.21/0.38 % (1157501)Termination phase: Saturation
% 0.21/0.38 % (1157501)Time elapsed: 0.013 s
% 0.21/0.38 % (1157501)Peak memory usage: 11 MB
% 0.21/0.38 % (1157501)Instructions burned: 25 (million)
% 0.21/0.38 % (1157511)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2750786378:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (1157511)Instruction limit reached!
% 0.21/0.38 % (1157511)------------------------------
% 0.21/0.38 % (1157511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157511)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157511)Termination reason: Instruction limit
% 0.21/0.38 % (1157511)Termination phase: Saturation
% 0.21/0.38 % (1157511)Time elapsed: 0.003 s
% 0.21/0.38 % (1157511)Peak memory usage: 11 MB
% 0.21/0.38 % (1157511)Instructions burned: 6 (million)
% 0.21/0.38 % (1157512)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=715550852:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.38 % (1157513)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38 % (1157502)Instruction limit reached!
% 0.21/0.38 % (1157502)------------------------------
% 0.21/0.38 % (1157502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157502)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157502)Termination reason: Instruction limit
% 0.21/0.38 % (1157502)Termination phase: Saturation
% 0.21/0.38 % (1157502)Time elapsed: 0.031 s
% 0.21/0.38 % (1157502)Peak memory usage: 12 MB
% 0.21/0.38 % (1157502)Instructions burned: 78 (million)
% 0.21/0.38 % (1157512)Instruction limit reached!
% 0.21/0.38 % (1157512)------------------------------
% 0.21/0.38 % (1157512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157512)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157512)Termination reason: Instruction limit
% 0.21/0.38 % (1157512)Termination phase: Saturation
% 0.21/0.38 % (1157512)Time elapsed: 0.003 s
% 0.21/0.38 % (1157512)Peak memory usage: 11 MB
% 0.21/0.38 % (1157512)Instructions burned: 7 (million)
% 0.21/0.38 % (1157513)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=680288075:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.38 % (1157497)Instruction limit reached!
% 0.21/0.38 % (1157497)------------------------------
% 0.21/0.38 % (1157497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157497)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157497)Termination reason: Instruction limit
% 0.21/0.38 % (1157497)Termination phase: Saturation
% 0.21/0.38 % (1157497)Time elapsed: 0.035 s
% 0.21/0.38 % (1157497)Peak memory usage: 12 MB
% 0.21/0.38 % (1157497)Instructions burned: 89 (million)
% 0.21/0.38 % (1157513)Instruction limit reached!
% 0.21/0.38 % (1157513)------------------------------
% 0.21/0.38 % (1157513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157513)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157513)Termination reason: Instruction limit
% 0.21/0.38 % (1157513)Termination phase: Saturation
% 0.21/0.38 % (1157513)Time elapsed: 0.004 s
% 0.21/0.38 % (1157513)Peak memory usage: 11 MB
% 0.21/0.38 % (1157513)Instructions burned: 9 (million)
% 0.21/0.38 % (1157515)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1548399332:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.38 % (1157515)Instruction limit reached!
% 0.21/0.38 % (1157515)------------------------------
% 0.21/0.38 % (1157515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157515)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157515)Termination reason: Instruction limit
% 0.21/0.38 % (1157515)Termination phase: Saturation
% 0.21/0.38 % (1157515)Time elapsed: 0.005 s
% 0.21/0.38 % (1157515)Peak memory usage: 11 MB
% 0.21/0.38 % (1157515)Instructions burned: 12 (million)
% 0.21/0.38 % (1157521)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.21/0.38 % (1157520)lrs+10_1_si=on:cs=on:random_seed=4214605602:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.38 % (1157521)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1639437442:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (1157517)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.38 % (1157520)Instruction limit reached!
% 0.21/0.38 % (1157520)------------------------------
% 0.21/0.38 % (1157520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157520)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157520)Termination reason: Instruction limit
% 0.21/0.38 % (1157520)Termination phase: Saturation
% 0.21/0.38 % (1157520)Time elapsed: 0.004 s
% 0.21/0.38 % (1157520)Peak memory usage: 11 MB
% 0.21/0.38 % (1157520)Instructions burned: 9 (million)
% 0.21/0.38 % (1157517)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38 % (1157521)Instruction limit reached!
% 0.21/0.38 % (1157521)------------------------------
% 0.21/0.38 % (1157521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157521)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157521)Termination reason: Instruction limit
% 0.21/0.38 % (1157521)Termination phase: Saturation
% 0.21/0.38 % (1157521)Time elapsed: 0.002 s
% 0.21/0.38 % (1157521)Peak memory usage: 11 MB
% 0.21/0.38 % (1157521)Instructions burned: 4 (million)
% 0.21/0.38 % (1157503)Instruction limit reached!
% 0.21/0.38 % (1157503)------------------------------
% 0.21/0.38 % (1157503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157503)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157503)Termination reason: Instruction limit
% 0.21/0.38 % (1157503)Termination phase: Saturation
% 0.21/0.38 % (1157503)Time elapsed: 0.063 s
% 0.21/0.38 % (1157503)Peak memory usage: 14 MB
% 0.21/0.38 % (1157503)Instructions burned: 158 (million)
% 0.21/0.38 % (1157518)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2322720939:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.38 % (1157517)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2125326216:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.38 % (1157523)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1782641188:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.21/0.38 % (1157526)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4249217826:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.21/0.38 % (1157527)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3238118588:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.21/0.38 % (1157529)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4287936273:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.21/0.38 % (1157527) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1157492-1157527"...
% 0.21/0.38 % (1157527)...printing done.
% 0.21/0.38 % (1157517)Instruction limit reached!
% 0.21/0.38 % (1157517)------------------------------
% 0.21/0.38 % (1157517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157527)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (1157527)------------------------------
% 0.21/0.38 % (1157527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (1157527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (1157527)CaDiCaL version: 2.1.3
% 0.21/0.38 % (1157527)Termination reason: Refutation
% 0.21/0.38 % (1157527)Time elapsed: 0.008 s
% 0.21/0.38 % (1157527)Peak memory usage: 12 MB
% 0.21/0.38 % (1157527)Instructions burned: 13 (million)
% 0.21/0.38 % (1157492)Success in time 0.128 s
% 0.21/0.38 % Vampire exiting
%------------------------------------------------------------------------------