TSTP Solution File: NUM020^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM020^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 08:07:16 EDT 2024
% Result : Theorem 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 33 ( 18 unt; 15 typ; 0 def)
% Number of atoms : 18 ( 17 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 79 ( 6 ~; 0 |; 0 &; 73 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 128 ( 128 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 1 con; 0-4 aty)
% Number of variables : 48 ( 40 ^ 4 !; 3 ?; 48 :)
% ( 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,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: $i > $i] :
( X0
@ ^ [Y1: $i] : ( 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 @ ( Y1 @ Y2 ) @ Y3 )
@ X0
@ ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f43,f37,f47,f45]) ).
thf(f45,plain,
( three
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( three
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,axiom,
( ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) )
= three ),
file('/export/starexec/sandbox/tmp/tmp.4C3S69ImPD/Vampire---4.8_26631',three_ax) ).
thf(f47,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f34,plain,
( mult
= ( ^ [Y0: ( $i > $i ) > $i > $i,Y1: ( $i > $i ) > $i > $i,Y2: $i > $i,Y3: $i] : ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f33,plain,
( mult
= ( ^ [X0: ( $i > $i ) > $i > $i,X1: ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i] : ( X0 @ ( X1 @ X2 ) @ X3 ) ) ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
( mult
= ( ^ [X3: ( $i > $i ) > $i > $i,X2: ( $i > $i ) > $i > $i,X0: $i > $i,X1: $i] : ( X3 @ ( X2 @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4C3S69ImPD/Vampire---4.8_26631',mult_ax) ).
thf(f37,plain,
( six
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
( six
= ( ^ [Y0: $i > $i,Y1: $i] : ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,axiom,
( ( ^ [X0: $i > $i,X1: $i] : ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ ( X0 @ X1 ) ) ) ) ) ) )
= six ),
file('/export/starexec/sandbox/tmp/tmp.4C3S69ImPD/Vampire---4.8_26631',six_ax) ).
thf(f43,plain,
! [X0: ( $i > $i ) > $i > $i] :
( six
!= ( mult @ X0 @ three ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f36,plain,
! [X0: ( $i > $i ) > $i > $i] :
( six
!= ( mult @ X0 @ three ) ),
inference(ennf_transformation,[],[f35]) ).
thf(f35,plain,
~ ? [X0: ( $i > $i ) > $i > $i] :
( six
= ( mult @ X0 @ three ) ),
inference(rectify,[],[f16]) ).
thf(f16,negated_conjecture,
~ ? [X2: ( $i > $i ) > $i > $i] :
( six
= ( mult @ X2 @ three ) ),
inference(negated_conjecture,[],[f15]) ).
thf(f15,conjecture,
? [X2: ( $i > $i ) > $i > $i] :
( six
= ( mult @ X2 @ three ) ),
file('/export/starexec/sandbox/tmp/tmp.4C3S69ImPD/Vampire---4.8_26631',thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM020^1 : TPTP v8.1.2. Released v3.6.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 14:34:31 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 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/sandbox/tmp/tmp.4C3S69ImPD/Vampire---4.8_26631
% 0.16/0.33 % (26740)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)
% 0.16/0.33 % (26741)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)
% 0.16/0.33 % (26744)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)
% 0.16/0.33 % (26742)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.33 % (26743)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.33 % (26739)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)
% 0.16/0.33 % (26746)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.16/0.33 % (26742)Instruction limit reached!
% 0.16/0.33 % (26742)------------------------------
% 0.16/0.33 % (26742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (26742)Termination reason: Unknown
% 0.16/0.33 % (26742)Termination phase: Function definition elimination
% 0.16/0.33 % (26743)Instruction limit reached!
% 0.16/0.33 % (26743)------------------------------
% 0.16/0.33 % (26743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33
% 0.16/0.33 % (26742)Memory used [KB]: 895
% 0.16/0.33 % (26742)Time elapsed: 0.003 s
% 0.16/0.33 % (26742)Instructions burned: 3 (million)
% 0.16/0.33 % (26742)------------------------------
% 0.16/0.33 % (26742)------------------------------
% 0.16/0.33 % (26743)Termination reason: Unknown
% 0.16/0.33 % (26743)Termination phase: Function definition elimination
% 0.16/0.33
% 0.16/0.33 % (26743)Memory used [KB]: 895
% 0.16/0.33 % (26743)Time elapsed: 0.003 s
% 0.16/0.33 % (26743)Instructions burned: 3 (million)
% 0.16/0.33 % (26743)------------------------------
% 0.16/0.33 % (26743)------------------------------
% 0.16/0.33 % (26745)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.16/0.33 % (26746)Instruction limit reached!
% 0.16/0.33 % (26746)------------------------------
% 0.16/0.33 % (26746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (26746)Termination reason: Unknown
% 0.16/0.33 % (26746)Termination phase: Function definition elimination
% 0.16/0.33
% 0.16/0.33 % (26746)Memory used [KB]: 895
% 0.16/0.33 % (26746)Time elapsed: 0.003 s
% 0.16/0.33 % (26746)Instructions burned: 3 (million)
% 0.16/0.33 % (26746)------------------------------
% 0.16/0.33 % (26746)------------------------------
% 0.16/0.33 % (26744)Refutation not found, incomplete strategy
% 0.16/0.33 % (26744)------------------------------
% 0.16/0.33 % (26744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (26744)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.33
% 0.16/0.33
% 0.16/0.33 % (26744)Memory used [KB]: 5500
% 0.16/0.33 % (26744)Time elapsed: 0.003 s
% 0.16/0.33 % (26744)Instructions burned: 3 (million)
% 0.16/0.33 % (26744)------------------------------
% 0.16/0.33 % (26744)------------------------------
% 0.16/0.33 % (26741)Refutation not found, incomplete strategy
% 0.16/0.33 % (26741)------------------------------
% 0.16/0.33 % (26741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (26741)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.33
% 0.16/0.33
% 0.16/0.33 % (26741)Memory used [KB]: 5500
% 0.16/0.33 % (26741)Time elapsed: 0.003 s
% 0.16/0.33 % (26741)Instructions burned: 3 (million)
% 0.16/0.33 % (26741)------------------------------
% 0.16/0.33 % (26741)------------------------------
% 0.16/0.33 % (26740)Instruction limit reached!
% 0.16/0.33 % (26740)------------------------------
% 0.16/0.33 % (26740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (26740)Termination reason: Unknown
% 0.16/0.33 % (26740)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (26740)Memory used [KB]: 5500
% 0.16/0.33 % (26740)Time elapsed: 0.004 s
% 0.16/0.33 % (26740)Instructions burned: 4 (million)
% 0.16/0.33 % (26740)------------------------------
% 0.16/0.33 % (26740)------------------------------
% 0.16/0.33 % (26739)First to succeed.
% 0.16/0.34 % (26745)Also succeeded, but the first one will report.
% 0.16/0.34 % (26739)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Theorem for Vampire---4
% 0.16/0.34 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.34 % (26739)------------------------------
% 0.16/0.34 % (26739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (26739)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (26739)Memory used [KB]: 5500
% 0.16/0.34 % (26739)Time elapsed: 0.004 s
% 0.16/0.34 % (26739)Instructions burned: 3 (million)
% 0.16/0.34 % (26739)------------------------------
% 0.16/0.34 % (26739)------------------------------
% 0.16/0.34 % (26738)Success in time 0.005 s
% 0.16/0.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------