%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM799^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:18:55 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 32 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 219 ( 6 ~; 0 |; 0 &; 208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 126 ( 126 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 24 usr; 3 con; 0-4 aty)
% ( 0 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 87 ( 82 ^; 3 !; 2 ?; 87 :)
% 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,
vNOT: $o > $o ).
thf(func_def_20,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_21,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_24,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
sK0: ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(f5,axiom,
( ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) )
= four ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',four_ax) ).
thf(f6,axiom,
( five
= ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',five_ax) ).
thf(f8,axiom,
( ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ) )
= seven ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',seven_ax) ).
thf(f13,axiom,
( ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ X2 @ ( X1 @ X2 @ X3 ) ) )
= plus ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',plus_ax) ).
thf(f14,axiom,
( ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) )
= mult ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM006^0.ax',mult_ax) ).
thf(f15,conjecture,
? [X0: ( $i > $i ) > $i > $i] :
( ( mult @ X0 @ four )
= ( plus @ five @ seven ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f16,negated_conjecture,
~ ? [X0: ( $i > $i ) > $i > $i] :
( ( mult @ X0 @ four )
= ( plus @ five @ seven ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f18,plain,
( four
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f22,plain,
( $true
= ( ~ ( ?? @ ( ( $i > $i ) > $i > $i )
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( mult @ Y0 @ four )
= ( plus @ five @ seven ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f23,plain,
( plus
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 @ Y3 ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f29,plain,
( seven
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f30,plain,
( five
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f31,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(f34,plain,
( seven
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f40,plain,
( plus
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 @ Y3 ) ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f42,plain,
( $true
= ( ~ ( ?? @ ( ( $i > $i ) > $i > $i )
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( mult @ Y0 @ four )
= ( plus @ five @ seven ) ) ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f43,plain,
( five
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f45,plain,
( four
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f46,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f49,plain,
( ( ~ ( ?? @ ( ( $i > $i ) > $i > $i )
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( ^ [Y1: ( $i > $i ) > $i > $i,Y2: ( $i > $i ) > $i > $i,Y3: $i > $i,Y4: $i] : ( Y1 @ ( Y2 @ Y3 ) @ Y4 )
@ Y0
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) )
= ( ^ [Y1: ( $i > $i ) > $i > $i,Y2: ( $i > $i ) > $i > $i,Y3: $i > $i,Y4: $i] : ( Y1 @ Y3 @ ( Y2 @ Y3 @ Y4 ) )
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) )
@ ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f42,f46,f45,f40,f43,f34]) ).
thf(f50,plain,
( $true
= ( ~ ( ?? @ ( ( $i > $i ) > $i > $i )
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( ^ [Y1: $i > $i] :
( Y0
@ ^ [Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f49]) ).
thf(f51,plain,
( $false
= ( ?? @ ( ( $i > $i ) > $i > $i )
@ ^ [Y0: ( $i > $i ) > $i > $i] :
( ( ^ [Y1: $i > $i] :
( Y0
@ ^ [Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f50]) ).
thf(f52,plain,
! [X1: ( $i > $i ) > $i > $i] :
( $false
= ( ^ [Y0: ( $i > $i ) > $i > $i] :
( ( ^ [Y1: $i > $i] :
( Y0
@ ^ [Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y1: $i > $i,Y2: $i] : ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f51]) ).
thf(f54,plain,
! [X1: ( $i > $i ) > $i > $i] :
( ( ( ^ [Y0: $i > $i] :
( X1
@ ^ [Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) )
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f56,plain,
! [X1: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] :
( X1
@ ^ [Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f54]) ).
thf(f58,plain,
$false,
inference(equality_resolution,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM799^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 12:58:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.22 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
% 0.21/0.28 % (3320835)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (3320840)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4143079505:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (3320840)Refutation not found, incomplete strategy
% 0.21/0.28 % (3320840)------------------------------
% 0.21/0.28 % (3320840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320840)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320840)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3320840)Time elapsed: 0.004 s
% 0.21/0.28 % (3320840)Peak memory usage: 12 MB
% 0.21/0.28 % (3320840)Instructions burned: 15 (million)
% 0.21/0.28 % (3320840)------------------------------
% 0.21/0.28 % (3320840)------------------------------
% 0.21/0.28 % (3320844)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=333260557:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (3320841)lrs+10_16_si=on:nwc=1.5:random_seed=2809664005:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.28 % (3320842)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=572777714:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.28 % (3320843)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=155817659: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)
% 0.21/0.28 % (3320842)Instruction limit reached!
% 0.21/0.28 % (3320842)------------------------------
% 0.21/0.28 % (3320842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320842)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320842)Termination reason: Instruction limit
% 0.21/0.28 % (3320842)Termination phase: Saturation
% 0.21/0.28 % (3320842)Time elapsed: 0.003 s
% 0.21/0.28 % (3320842)Peak memory usage: 11 MB
% 0.21/0.28 % (3320842)Instructions burned: 5 (million)
% 0.21/0.28 % (3320848)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2458708508:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.28 % (3320848)Instruction limit reached!
% 0.21/0.28 % (3320848)------------------------------
% 0.21/0.28 % (3320848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320848)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320848)Termination reason: Instruction limit
% 0.21/0.28 % (3320848)Time elapsed: 0.001 s
% 0.21/0.28 % (3320848)Peak memory usage: 12 MB
% 0.21/0.28 % (3320848)Instructions burned: 4 (million)
% 0.21/0.28 % (3320841)Instruction limit reached!
% 0.21/0.28 % (3320841)------------------------------
% 0.21/0.28 % (3320841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320841)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320841)Termination reason: Instruction limit
% 0.21/0.28 % (3320841)Termination phase: Saturation
% 0.21/0.28 % (3320841)Time elapsed: 0.009 s
% 0.21/0.28 % (3320841)Peak memory usage: 12 MB
% 0.21/0.28 % (3320841)Instructions burned: 19 (million)
% 0.21/0.28 % (3320846)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (3320846)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
% 0.21/0.28 % (3320845)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2507376555:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.28 % (3320844)Instruction limit reached!
% 0.21/0.28 % (3320844)------------------------------
% 0.21/0.28 % (3320844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320844)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320844)Termination reason: Instruction limit
% 0.21/0.28 % (3320844)Termination phase: Saturation
% 0.21/0.28 % (3320844)Time elapsed: 0.012 s
% 0.21/0.28 % (3320844)Peak memory usage: 11 MB
% 0.21/0.28 % (3320844)Instructions burned: 24 (million)
% 0.21/0.28 % (3320846)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=1578522362:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.28 % (3320855)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.28 % (3320855)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2103409099:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.28 % (3320855) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3320835-3320855"...
% 0.21/0.28 % (3320855)...printing done.
% 0.21/0.28 % (3320855)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (3320855)------------------------------
% 0.21/0.28 % (3320855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3320855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3320855)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3320855)Termination reason: Refutation
% 0.21/0.28 % (3320855)Time elapsed: 0.002 s
% 0.21/0.28 % (3320855)Peak memory usage: 12 MB
% 0.21/0.28 % (3320855)Instructions burned: 8 (million)
% 0.21/0.28 % (3320835)Success in time 0.053 s
% 0.21/0.28 % Vampire exiting
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