TSTP Solution File: ALG282^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:20:49 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 180 ( 13 ~; 0 |; 18 &; 145 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 ^ 61 !; 11 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: a > a > a ).
thf(func_def_2,type,
cE: a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
sK1: a ).
thf(f55,plain,
$false,
inference(equality_resolution,[],[f54]) ).
thf(f54,plain,
! [X0: a] : ( sK1 != X0 ),
inference(superposition,[],[f51,f11]) ).
thf(f11,plain,
! [X4: a] :
( ( cP @ cE @ X4 )
= X4 ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X0: a,X1: a,X2: a] :
( ( cP @ ( cP @ X2 @ X1 ) @ X0 )
= ( cP @ X2 @ ( cP @ X1 @ X0 ) ) )
& ! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 )
& ! [X7: a] :
( sK1
!= ( cP @ X7 @ sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X5: a,X6: a] :
! [X7: a] :
( ( cP @ X7 @ X5 )
!= X6 )
=> ! [X7: a] :
( sK1
!= ( cP @ X7 @ sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
( ! [X0: a,X1: a,X2: a] :
( ( cP @ ( cP @ X2 @ X1 ) @ X0 )
= ( cP @ X2 @ ( cP @ X1 @ X0 ) ) )
& ! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) )
& ! [X4: a] :
( ( cP @ cE @ X4 )
= X4 )
& ? [X5: a,X6: a] :
! [X7: a] :
( ( cP @ X7 @ X5 )
!= X6 ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
( ! [X1: a,X2: a,X0: a] :
( ( cP @ X0 @ ( cP @ X2 @ X1 ) )
= ( cP @ ( cP @ X0 @ X2 ) @ X1 ) )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 )
& ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X7 @ X6 )
!= X5 ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ? [X6: a,X5: a] :
! [X7: a] :
( ( cP @ X7 @ X6 )
!= X5 )
& ! [X1: a,X2: a,X0: a] :
( ( cP @ X0 @ ( cP @ X2 @ X1 ) )
= ( cP @ ( cP @ X0 @ X2 ) @ X1 ) )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X1: a,X2: a,X0: a] :
( ( cP @ X0 @ ( cP @ X2 @ X1 ) )
= ( cP @ ( cP @ X0 @ X2 ) @ X1 ) )
& ! [X4: a] :
( cE
= ( cP @ ( cJ @ X4 ) @ X4 ) )
& ! [X3: a] :
( ( cP @ cE @ X3 )
= X3 ) )
=> ! [X6: a,X5: a] :
? [X7: a] :
( ( cP @ X7 @ X6 )
= X5 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: a,X2: a,X1: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X4: a,X3: a] :
? [X5: a] :
( ( cP @ X5 @ X3 )
= X4 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: a,X2: a,X1: a] :
( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
= ( cP @ X0 @ ( cP @ X1 @ X2 ) ) )
& ! [X0: a] :
( ( cP @ cE @ X0 )
= X0 )
& ! [X1: a] :
( cE
= ( cP @ ( cJ @ X1 ) @ X1 ) ) )
=> ! [X4: a,X3: a] :
? [X5: a] :
( ( cP @ X5 @ X3 )
= X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM21_pme) ).
thf(f51,plain,
! [X0: a] :
( ( cP @ cE @ X0 )
!= sK1 ),
inference(superposition,[],[f21,f36]) ).
thf(f36,plain,
! [X0: a] :
( ( cP @ cE @ X0 )
= ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
inference(superposition,[],[f17,f12]) ).
thf(f12,plain,
! [X3: a] :
( cE
= ( cP @ ( cJ @ X3 ) @ X3 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f17,plain,
! [X0: a,X1: a] :
( ( cP @ cE @ X1 )
= ( cP @ ( cJ @ X0 ) @ ( cP @ X0 @ X1 ) ) ),
inference(superposition,[],[f13,f12]) ).
thf(f13,plain,
! [X2: a,X0: a,X1: a] :
( ( cP @ ( cP @ X2 @ X1 ) @ X0 )
= ( cP @ X2 @ ( cP @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f21,plain,
! [X0: a] :
( sK1
!= ( cP @ X0 @ cE ) ),
inference(superposition,[],[f19,f12]) ).
thf(f19,plain,
! [X0: a,X1: a] :
( sK1
!= ( cP @ X0 @ ( cP @ X1 @ sK0 ) ) ),
inference(superposition,[],[f10,f13]) ).
thf(f10,plain,
! [X7: a] :
( sK1
!= ( cP @ X7 @ sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ALG282^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 23:05:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % (19150)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38 % (19151)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.38 % (19152)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.38 % (19154)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (19155)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.38 % (19156)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (19154)Instruction limit reached!
% 0.15/0.38 % (19154)------------------------------
% 0.15/0.38 % (19154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19154)Termination reason: Unknown
% 0.15/0.38 % (19154)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (19154)Memory used [KB]: 895
% 0.15/0.38 % (19154)Time elapsed: 0.003 s
% 0.15/0.38 % (19154)Instructions burned: 2 (million)
% 0.15/0.38 % (19154)------------------------------
% 0.15/0.38 % (19154)------------------------------
% 0.15/0.38 % (19151)Instruction limit reached!
% 0.15/0.38 % (19151)------------------------------
% 0.15/0.38 % (19151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19151)Termination reason: Unknown
% 0.15/0.38 % (19151)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (19151)Memory used [KB]: 5500
% 0.15/0.38 % (19151)Time elapsed: 0.005 s
% 0.15/0.38 % (19151)Instructions burned: 4 (million)
% 0.15/0.38 % (19151)------------------------------
% 0.15/0.38 % (19151)------------------------------
% 0.15/0.39 % (19150)First to succeed.
% 0.15/0.39 % (19157)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.39 % (19157)Instruction limit reached!
% 0.15/0.39 % (19157)------------------------------
% 0.15/0.39 % (19157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (19157)Termination reason: Unknown
% 0.15/0.39 % (19157)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (19157)Memory used [KB]: 5500
% 0.15/0.39 % (19157)Time elapsed: 0.005 s
% 0.15/0.39 % (19157)Instructions burned: 4 (million)
% 0.15/0.39 % (19157)------------------------------
% 0.15/0.39 % (19157)------------------------------
% 0.15/0.39 % (19153)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.39 % (19153)Instruction limit reached!
% 0.15/0.39 % (19153)------------------------------
% 0.15/0.39 % (19153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (19153)Termination reason: Unknown
% 0.15/0.39 % (19153)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (19153)Memory used [KB]: 5500
% 0.15/0.39 % (19153)Time elapsed: 0.028 s
% 0.15/0.39 % (19153)Instructions burned: 2 (million)
% 0.15/0.39 % (19153)------------------------------
% 0.15/0.39 % (19153)------------------------------
% 0.15/0.40 % (19158)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % (19159)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.41 % (19160)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (19159)Instruction limit reached!
% 0.15/0.41 % (19159)------------------------------
% 0.15/0.41 % (19159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (19159)Termination reason: Unknown
% 0.15/0.41 % (19159)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (19159)Memory used [KB]: 5500
% 0.15/0.41 % (19159)Time elapsed: 0.033 s
% 0.15/0.41 % (19159)Instructions burned: 15 (million)
% 0.15/0.41 % (19159)------------------------------
% 0.15/0.41 % (19159)------------------------------
% 0.15/0.41 % (19160)Instruction limit reached!
% 0.15/0.41 % (19160)------------------------------
% 0.15/0.41 % (19160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (19160)Termination reason: Unknown
% 0.15/0.41 % (19160)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (19160)Memory used [KB]: 5500
% 0.15/0.41 % (19160)Time elapsed: 0.027 s
% 0.15/0.41 % (19160)Instructions burned: 3 (million)
% 0.15/0.41 % (19160)------------------------------
% 0.15/0.41 % (19160)------------------------------
% 0.15/0.41 % (19161)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42 % (19162)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (19163)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (19162)Instruction limit reached!
% 0.22/0.43 % (19162)------------------------------
% 0.22/0.43 % (19162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (19162)Termination reason: Unknown
% 0.22/0.43 % (19162)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (19162)Memory used [KB]: 1023
% 0.22/0.43 % (19162)Time elapsed: 0.007 s
% 0.22/0.43 % (19162)Instructions burned: 7 (million)
% 0.22/0.43 % (19162)------------------------------
% 0.22/0.43 % (19162)------------------------------
% 0.22/0.43 % (19163)Instruction limit reached!
% 0.22/0.43 % (19163)------------------------------
% 0.22/0.43 % (19163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (19163)Termination reason: Unknown
% 0.22/0.43 % (19163)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (19163)Memory used [KB]: 5628
% 0.22/0.43 % (19163)Time elapsed: 0.013 s
% 0.22/0.43 % (19163)Instructions burned: 16 (million)
% 0.22/0.43 % (19163)------------------------------
% 0.22/0.43 % (19163)------------------------------
% 0.22/0.44 % (19165)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (19165)Instruction limit reached!
% 0.22/0.44 % (19165)------------------------------
% 0.22/0.44 % (19165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (19165)Termination reason: Unknown
% 0.22/0.44 % (19165)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (19165)Memory used [KB]: 5500
% 0.22/0.44 % (19165)Time elapsed: 0.004 s
% 0.22/0.44 % (19165)Instructions burned: 3 (million)
% 0.22/0.44 % (19165)------------------------------
% 0.22/0.44 % (19165)------------------------------
% 0.22/0.45 % (19166)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (19166)Instruction limit reached!
% 0.22/0.45 % (19166)------------------------------
% 0.22/0.45 % (19166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (19166)Termination reason: Unknown
% 0.22/0.45 % (19166)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (19166)Memory used [KB]: 5500
% 0.22/0.45 % (19166)Time elapsed: 0.006 s
% 0.22/0.45 % (19166)Instructions burned: 4 (million)
% 0.22/0.45 % (19166)------------------------------
% 0.22/0.45 % (19166)------------------------------
% 0.22/0.46 % (19167)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.46 % (19167)Refutation not found, incomplete strategy
% 0.22/0.46 % (19167)------------------------------
% 0.22/0.46 % (19167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (19167)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (19167)Memory used [KB]: 5500
% 0.22/0.46 % (19167)Time elapsed: 0.003 s
% 0.22/0.46 % (19167)Instructions burned: 2 (million)
% 0.22/0.46 % (19167)------------------------------
% 0.22/0.46 % (19167)------------------------------
% 0.22/0.47 % (19168)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.47 % (19168)Instruction limit reached!
% 0.22/0.47 % (19168)------------------------------
% 0.22/0.47 % (19168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (19168)Termination reason: Unknown
% 0.22/0.47 % (19168)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (19168)Memory used [KB]: 5500
% 0.22/0.47 % (19168)Time elapsed: 0.005 s
% 0.22/0.47 % (19168)Instructions burned: 3 (million)
% 0.22/0.47 % (19168)------------------------------
% 0.22/0.47 % (19168)------------------------------
% 0.22/0.47 % (19169)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.48 % (19169)Instruction limit reached!
% 0.22/0.48 % (19169)------------------------------
% 0.22/0.48 % (19169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (19169)Termination reason: Unknown
% 0.22/0.48 % (19169)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (19169)Memory used [KB]: 5500
% 0.22/0.48 % (19169)Time elapsed: 0.005 s
% 0.22/0.48 % (19169)Instructions burned: 4 (million)
% 0.22/0.48 % (19169)------------------------------
% 0.22/0.48 % (19169)------------------------------
% 0.22/0.49 % (19170)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.22/0.49 % (19171)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.22/0.50 % (19170)Instruction limit reached!
% 0.22/0.50 % (19170)------------------------------
% 0.22/0.50 % (19170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (19170)Termination reason: Unknown
% 0.22/0.50 % (19170)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (19170)Memory used [KB]: 5500
% 0.22/0.50 % (19170)Time elapsed: 0.015 s
% 0.22/0.50 % (19170)Instructions burned: 19 (million)
% 0.22/0.50 % (19170)------------------------------
% 0.22/0.50 % (19170)------------------------------
% 0.22/0.51 % (19155)Also succeeded, but the first one will report.
% 0.22/0.51 % (19150)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (19150)------------------------------
% 0.22/0.51 % (19150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (19150)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (19150)Memory used [KB]: 5500
% 0.22/0.51 % (19150)Time elapsed: 0.010 s
% 0.22/0.51 % (19150)Instructions burned: 8 (million)
% 0.22/0.51 % (19150)------------------------------
% 0.22/0.51 % (19150)------------------------------
% 0.22/0.51 % (19149)Success in time 0.149 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------