TSTP Solution File: NUM799^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM799^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : Sun May 5 08:15:43 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 40 ( 25 unt; 15 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 146 ( 6 ~; 0 |; 0 &; 140 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 167 ( 167 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 1 con; 0-4 aty)
% Number of variables : 76 ( 68 ^ 4 !; 3 ?; 76 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
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_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f54,plain,
$false,
inference(equality_resolution,[],[f53]) ).
thf(f53,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: $i > $i] :
( X0
@ ^ [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(beta_eta_normalization,[],[f52]) ).
thf(f52,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ Y2 @ ( Y1 @ Y2 @ Y3 ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) )
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) )
!= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
@ X0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f45,f47,f51,f50,f42,f38]) ).
thf(f38,plain,
( four
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
( four
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,axiom,
( four
= ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',four_ax) ).
thf(f42,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f29]) ).
thf(f29,plain,
( ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) )
= mult ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
( ( ^ [X3: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X0: $i > $i,X1: $i] : ( X3 @ ( X2 @ X0 ) @ X1 ) )
= mult ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',mult_ax) ).
thf(f50,plain,
( seven
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f28,plain,
( seven
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,axiom,
( seven
= ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',seven_ax) ).
thf(f51,plain,
( five
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f34,plain,
( five
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f6,axiom,
( five
= ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',five_ax) ).
thf(f47,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,[],[f21]) ).
thf(f21,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,[],[f20]) ).
thf(f20,plain,
( ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ X2 @ ( X1 @ X2 @ X3 ) ) )
= plus ),
inference(rectify,[],[f13]) ).
thf(f13,axiom,
( ( ^ [X3: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X0: $i > $i,X1: $i] : ( X3 @ X0 @ ( X2 @ X0 @ X1 ) ) )
= plus ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',plus_ax) ).
thf(f45,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( plus @ five @ seven )
!= ( mult @ X0 @ four ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f36,plain,
! [X0: ( $i > $i ) > $i > $i] :
( ( plus @ five @ seven )
!= ( mult @ X0 @ four ) ),
inference(ennf_transformation,[],[f35]) ).
thf(f35,plain,
~ ? [X0: ( $i > $i ) > $i > $i] :
( ( plus @ five @ seven )
= ( mult @ X0 @ four ) ),
inference(rectify,[],[f16]) ).
thf(f16,negated_conjecture,
~ ? [X2: ( $i > $i ) > $i > $i] :
( ( mult @ X2 @ four )
= ( plus @ five @ seven ) ),
inference(negated_conjecture,[],[f15]) ).
thf(f15,conjecture,
? [X2: ( $i > $i ) > $i > $i] :
( ( mult @ X2 @ four )
= ( plus @ five @ seven ) ),
file('/export/starexec/sandbox2/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458',thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM799^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.14 % 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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 14:56:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/tmp/tmp.IopI4hTnRo/Vampire---4.8_25458
% 0.14/0.37 % (25566)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.37 % (25568)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.37 % (25569)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.37 % (25567)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.37 % (25571)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.37 % (25572)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.37 % (25569)Instruction limit reached!
% 0.21/0.37 % (25569)------------------------------
% 0.21/0.37 % (25569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (25569)Termination reason: Unknown
% 0.21/0.37 % (25569)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (25569)Memory used [KB]: 895
% 0.21/0.37 % (25569)Time elapsed: 0.003 s
% 0.21/0.37 % (25569)Instructions burned: 2 (million)
% 0.21/0.37 % (25569)------------------------------
% 0.21/0.37 % (25569)------------------------------
% 0.21/0.37 % (25567)Instruction limit reached!
% 0.21/0.37 % (25567)------------------------------
% 0.21/0.37 % (25567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (25567)Termination reason: Unknown
% 0.21/0.37 % (25567)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (25567)Memory used [KB]: 5500
% 0.21/0.37 % (25567)Time elapsed: 0.004 s
% 0.21/0.37 % (25567)Instructions burned: 4 (million)
% 0.21/0.37 % (25567)------------------------------
% 0.21/0.37 % (25567)------------------------------
% 0.21/0.37 % (25571)Refutation not found, incomplete strategy
% 0.21/0.37 % (25571)------------------------------
% 0.21/0.37 % (25571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (25571)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37
% 0.21/0.37 % (25571)Memory used [KB]: 5500
% 0.21/0.37 % (25571)Time elapsed: 0.004 s
% 0.21/0.37 % (25568)Refutation not found, incomplete strategy
% 0.21/0.37 % (25568)------------------------------
% 0.21/0.37 % (25568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (25571)Instructions burned: 4 (million)
% 0.21/0.37 % (25568)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (25571)------------------------------
% 0.21/0.37 % (25571)------------------------------
% 0.21/0.37
% 0.21/0.37 % (25568)Memory used [KB]: 5500
% 0.21/0.37 % (25568)Time elapsed: 0.004 s
% 0.21/0.37 % (25568)Instructions burned: 3 (million)
% 0.21/0.37 % (25568)------------------------------
% 0.21/0.37 % (25568)------------------------------
% 0.21/0.37 % (25566)First to succeed.
% 0.21/0.37 % (25572)Also succeeded, but the first one will report.
% 0.21/0.37 % (25566)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for Vampire---4
% 0.21/0.37 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.37 % (25566)------------------------------
% 0.21/0.37 % (25566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (25566)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (25566)Memory used [KB]: 5500
% 0.21/0.37 % (25566)Time elapsed: 0.006 s
% 0.21/0.37 % (25566)Instructions burned: 4 (million)
% 0.21/0.37 % (25566)------------------------------
% 0.21/0.37 % (25566)------------------------------
% 0.21/0.37 % (25565)Success in time 0.006 s
% 0.21/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------