TSTP Solution File: SEV162^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV162^5 : 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 : n006.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 : Tue May 21 04:12:12 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 104 ( 41 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 189 ( 29 ~; 15 |; 5 &; 130 @)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 158 ( 92 ^ 46 !; 19 ?; 158 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: a > a > $o ).
thf(func_def_8,type,
sK1: ( a > a > a ) > a ).
thf(func_def_9,type,
sK2: a ).
thf(func_def_10,type,
sK3: a ).
thf(func_def_12,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f35,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f34]) ).
thf(f34,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f31]) ).
thf(f31,plain,
( $false
| ~ spl4_2 ),
inference(equality_resolution,[],[f27]) ).
thf(f27,plain,
( ! [X0: ( a > a > a ) > a] :
( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK2 )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f26,plain,
( spl4_2
<=> ! [X0: ( a > a > a ) > a] :
( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
thf(f29,plain,
spl4_2,
inference(avatar_split_clause,[],[f20,f26]) ).
thf(f20,plain,
! [X3: ( a > a > a ) > a] :
( sK2
!= ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) ),
inference(trivial_inequality_removal,[],[f19]) ).
thf(f19,plain,
! [X3: ( a > a > a ) > a] :
( ( sK2
!= ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f17,f16]) ).
thf(f16,plain,
! [X0: ( a > a > a ) > a] :
( ( sK0
@ ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X0
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ),
inference(condensation,[],[f14]) ).
thf(f14,plain,
! [X6: a,X4: ( a > a > a ) > a,X5: a] :
( ( $true
= ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( sK0 @ X6 @ X5 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( ( ( sK0
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( sK0 @ sK3 @ sK2 )
!= $true ) )
& ( ! [X4: ( a > a > a ) > a] :
( $true
= ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ! [X5: a,X6: a] :
( ( sK0 @ X6 @ X5 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a > $o] :
( ( ? [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ? [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
!= $true ) )
& ( ! [X4: ( a > a > a ) > a] :
( ( X0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X5: a,X6: a] :
( ( X0 @ X6 @ X5 )
= $true ) ) )
=> ( ( ? [X1: ( a > a > a ) > a] :
( $true
!= ( sK0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ? [X3: a,X2: a] :
( ( sK0 @ X3 @ X2 )
!= $true ) )
& ( ! [X4: ( a > a > a ) > a] :
( $true
= ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ! [X6: a,X5: a] :
( ( sK0 @ X6 @ X5 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X1: ( a > a > a ) > a] :
( $true
!= ( sK0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
=> ( ( sK0
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X3: a,X2: a] :
( ( sK0 @ X3 @ X2 )
!= $true )
=> ( ( sK0 @ sK3 @ sK2 )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a > a > $o] :
( ( ? [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ? [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
!= $true ) )
& ( ! [X4: ( a > a > a ) > a] :
( ( X0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X5: a,X6: a] :
( ( X0 @ X6 @ X5 )
= $true ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: a > a > $o] :
( ( ? [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ? [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
!= $true ) )
& ( ! [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
= $true ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o] :
( ! [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
= $true )
<~> ! [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > $o] :
( ! [X2: a,X3: a] :
( ( X0 @ X3 @ X2 )
= $true )
<=> ! [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o] :
( ! [X1: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
<=> ! [X6: a,X7: a] :
( ( X0 @ X7 @ X6 )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ! [X1: ( a > a > a ) > a] :
( X0
@ ( X1
@ ^ [X2: a,X3: a] : X2 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 ) )
<=> ! [X6: a,X7: a] : ( X0 @ X7 @ X6 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ! [X3: ( a > a > a ) > a] :
( X0
@ ( X3
@ ^ [X1: a,X2: a] : X1 )
@ ( X3
@ ^ [X1: a,X2: a] : X2 ) )
<=> ! [X2: a,X1: a] : ( X0 @ X1 @ X2 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ! [X3: ( a > a > a ) > a] :
( X0
@ ( X3
@ ^ [X1: a,X2: a] : X1 )
@ ( X3
@ ^ [X1: a,X2: a] : X2 ) )
<=> ! [X2: a,X1: a] : ( X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM184_pme) ).
thf(f17,plain,
( ( sK0 @ sK3 @ sK2 )
!= $true ),
inference(subsumption_resolution,[],[f15,f16]) ).
thf(f15,plain,
( ( ( sK0 @ sK3 @ sK2 )
!= $true )
| ( ( sK0
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV162^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % 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
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:24:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.36 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
% 0.20/0.38 % (18996)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.38 % (18993)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.38 % (18997)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)
% 0.20/0.38 % (18998)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)
% 0.20/0.38 % (18996)Instruction limit reached!
% 0.20/0.38 % (18996)------------------------------
% 0.20/0.38 % (18996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (18996)Termination reason: Unknown
% 0.20/0.38 % (18996)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (18997)Instruction limit reached!
% 0.20/0.38 % (18997)------------------------------
% 0.20/0.38 % (18997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (18997)Termination reason: Unknown
% 0.20/0.38 % (18997)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (18997)Memory used [KB]: 895
% 0.20/0.38 % (18997)Time elapsed: 0.003 s
% 0.20/0.38 % (18997)Instructions burned: 2 (million)
% 0.20/0.38 % (18997)------------------------------
% 0.20/0.38 % (18997)------------------------------
% 0.20/0.38 % (18996)Memory used [KB]: 895
% 0.20/0.38 % (18996)Time elapsed: 0.003 s
% 0.20/0.38 % (18996)Instructions burned: 2 (million)
% 0.20/0.38 % (18996)------------------------------
% 0.20/0.38 % (18996)------------------------------
% 0.20/0.38 % (18998)Refutation not found, incomplete strategy
% 0.20/0.38 % (18998)------------------------------
% 0.20/0.38 % (18998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (18998)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (18998)Memory used [KB]: 5500
% 0.20/0.38 % (18998)Time elapsed: 0.005 s
% 0.20/0.38 % (18998)Instructions burned: 3 (million)
% 0.20/0.38 % (18998)------------------------------
% 0.20/0.38 % (18998)------------------------------
% 0.20/0.38 % (18993)Refutation not found, incomplete strategy
% 0.20/0.38 % (18993)------------------------------
% 0.20/0.38 % (18993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (18993)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (18993)Memory used [KB]: 5500
% 0.20/0.38 % (18993)Time elapsed: 0.006 s
% 0.20/0.38 % (18993)Instructions burned: 5 (million)
% 0.20/0.38 % (18993)------------------------------
% 0.20/0.38 % (18993)------------------------------
% 0.20/0.38 % (19000)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)
% 0.20/0.38 % (19000)Instruction limit reached!
% 0.20/0.38 % (19000)------------------------------
% 0.20/0.38 % (19000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (19000)Termination reason: Unknown
% 0.20/0.38 % (19000)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (19000)Memory used [KB]: 5500
% 0.20/0.38 % (19000)Time elapsed: 0.004 s
% 0.20/0.38 % (19000)Instructions burned: 3 (million)
% 0.20/0.38 % (19000)------------------------------
% 0.20/0.38 % (19000)------------------------------
% 0.20/0.38 % (18999)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.20/0.38 % (18999)First to succeed.
% 0.20/0.39 % (18994)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)
% 0.20/0.39 % (18999)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (18999)------------------------------
% 0.20/0.39 % (18999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (18999)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (18999)Memory used [KB]: 5500
% 0.20/0.39 % (18999)Time elapsed: 0.006 s
% 0.20/0.39 % (18999)Instructions burned: 2 (million)
% 0.20/0.39 % (18999)------------------------------
% 0.20/0.39 % (18999)------------------------------
% 0.20/0.39 % (18992)Success in time 0.035 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------