TSTP Solution File: SEV162^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV162^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 09:41:34 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 100 ( 39 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 181 ( 28 ~; 15 |; 5 &; 124 @)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 150 ( 88 ^ 42 !; 19 ?; 150 :)
% ( 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(f34,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f33]) ).
thf(f33,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f31]) ).
thf(f31,plain,
( $false
| ~ spl4_1 ),
inference(equality_resolution,[],[f23]) ).
thf(f23,plain,
( ! [X0: ( a > a > a ) > a] :
( ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK3 )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f22,plain,
( spl4_1
<=> ! [X0: ( a > a > a ) > a] :
( ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f28,plain,
spl4_1,
inference(avatar_split_clause,[],[f19,f22]) ).
thf(f19,plain,
! [X3: ( a > a > a ) > a] :
( ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK3 ),
inference(trivial_inequality_removal,[],[f18]) ).
thf(f18,plain,
! [X3: ( a > a > a ) > a] :
( ( ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK3 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f16,f15]) ).
thf(f15,plain,
! [X0: ( a > a > a ) > a] :
( ( sK0
@ ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X0
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ),
inference(condensation,[],[f13]) ).
thf(f13,plain,
! [X6: a,X4: ( a > a > a ) > a,X5: a] :
( ( ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ( ( sK0 @ X6 @ X5 )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( ( ( sK0
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( sK0 @ sK3 @ sK2 )
!= $true ) )
& ( ! [X4: ( a > a > a ) > a] :
( ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X5: a,X6: a] :
( ( sK0 @ X6 @ X5 )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f11,f10,f9]) ).
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] :
( $true
!= ( X0 @ X3 @ X2 ) ) )
& ( ! [X4: ( a > a > a ) > a] :
( $true
= ( X0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ! [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] :
( $true
!= ( sK0 @ X3 @ X2 ) ) )
& ( ! [X4: ( a > a > a ) > a] :
( ( sK0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X6: a,X5: a] :
( ( sK0 @ X6 @ X5 )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,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(f11,plain,
( ? [X3: a,X2: a] :
( $true
!= ( sK0 @ X3 @ X2 ) )
=> ( ( sK0 @ sK3 @ sK2 )
!= $true ) ),
introduced(choice_axiom,[]) ).
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] :
( $true
!= ( X0 @ X3 @ X2 ) ) )
& ( ! [X4: ( a > a > a ) > a] :
( $true
= ( X0
@ ( X4
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X4
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ! [X5: a,X6: a] :
( ( X0 @ X6 @ X5 )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o] :
( ( ? [X3: ( a > a > a ) > a] :
( ( X0
@ ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ? [X1: a,X2: a] :
( ( X0 @ X2 @ X1 )
!= $true ) )
& ( ! [X3: ( a > a > a ) > a] :
( ( X0
@ ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ! [X1: a,X2: a] :
( ( X0 @ X2 @ X1 )
= $true ) ) ),
inference(nnf_transformation,[],[f6]) ).
thf(f6,plain,
? [X0: a > a > $o] :
( ! [X1: a,X2: a] :
( ( X0 @ X2 @ X1 )
= $true )
<~> ! [X3: ( a > a > a ) > a] :
( ( X0
@ ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o] :
( ! [X3: ( a > a > a ) > a] :
( ( X0
@ ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X3
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
<=> ! [X1: a,X2: a] :
( ( X0 @ X2 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ! [X1: a,X2: a] : ( X0 @ X2 @ X1 )
<=> ! [X3: ( a > a > a ) > a] :
( X0
@ ( X3
@ ^ [X4: a,X5: a] : X4 )
@ ( X3
@ ^ [X6: a,X7: a] : X7 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ! [X2: a,X1: a] : ( X0 @ X1 @ X2 )
<=> ! [X3: ( a > a > a ) > a] :
( X0
@ ( X3
@ ^ [X1: a,X2: a] : X1 )
@ ( X3
@ ^ [X1: a,X2: a] : X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ! [X2: a,X1: a] : ( X0 @ X1 @ X2 )
<=> ! [X3: ( a > a > a ) > a] :
( X0
@ ( X3
@ ^ [X1: a,X2: a] : X1 )
@ ( X3
@ ^ [X1: a,X2: a] : X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8kAAoYXEuo/Vampire---4.8_28620',cTHM184_pme) ).
thf(f16,plain,
( ( sK0 @ sK3 @ sK2 )
!= $true ),
inference(subsumption_resolution,[],[f14,f15]) ).
thf(f14,plain,
( ( ( sK0
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK1
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( sK0 @ sK3 @ sK2 )
!= $true ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEV162^5 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % 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
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 12:09:12 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.31 This is a TH0_THM_NEQ_NAR problem
% 0.09/0.31 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.8kAAoYXEuo/Vampire---4.8_28620
% 0.15/0.32 % (28734)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.32 % (28732)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 (3000ds/4Mi)
% 0.15/0.32 % (28735)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 (3000ds/2Mi)
% 0.15/0.32 % (28731)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.32 % (28733)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 (3000ds/27Mi)
% 0.15/0.32 % (28736)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 (3000ds/275Mi)
% 0.15/0.32 % (28738)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 (3000ds/3Mi)
% 0.15/0.32 % (28737)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.32 % (28734)Instruction limit reached!
% 0.15/0.32 % (28734)------------------------------
% 0.15/0.32 % (28734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (28734)Termination reason: Unknown
% 0.15/0.32 % (28734)Termination phase: Saturation
% 0.15/0.32 % (28735)Instruction limit reached!
% 0.15/0.32 % (28735)------------------------------
% 0.15/0.32 % (28735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (28735)Termination reason: Unknown
% 0.15/0.32 % (28735)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (28735)Memory used [KB]: 5500
% 0.15/0.32 % (28735)Time elapsed: 0.003 s
% 0.15/0.32 % (28735)Instructions burned: 2 (million)
% 0.15/0.32 % (28735)------------------------------
% 0.15/0.32 % (28735)------------------------------
% 0.15/0.32
% 0.15/0.32 % (28734)Memory used [KB]: 5500
% 0.15/0.32 % (28734)Time elapsed: 0.003 s
% 0.15/0.32 % (28734)Instructions burned: 2 (million)
% 0.15/0.32 % (28734)------------------------------
% 0.15/0.32 % (28734)------------------------------
% 0.15/0.32 % (28733)Refutation not found, incomplete strategy
% 0.15/0.32 % (28733)------------------------------
% 0.15/0.32 % (28733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (28733)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (28733)Memory used [KB]: 5500
% 0.15/0.32 % (28733)Time elapsed: 0.003 s
% 0.15/0.32 % (28738)Instruction limit reached!
% 0.15/0.32 % (28738)------------------------------
% 0.15/0.32 % (28738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (28733)Instructions burned: 2 (million)
% 0.15/0.32 % (28733)------------------------------
% 0.15/0.32 % (28733)------------------------------
% 0.15/0.32 % (28736)Refutation not found, incomplete strategy
% 0.15/0.32 % (28736)------------------------------
% 0.15/0.32 % (28736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (28738)Termination reason: Unknown
% 0.15/0.32 % (28738)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (28738)Memory used [KB]: 5500
% 0.15/0.32 % (28738)Time elapsed: 0.003 s
% 0.15/0.32 % (28738)Instructions burned: 3 (million)
% 0.15/0.32 % (28738)------------------------------
% 0.15/0.32 % (28738)------------------------------
% 0.15/0.32 % (28736)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.33 % (28736)Memory used [KB]: 5500
% 0.15/0.33 % (28736)Time elapsed: 0.003 s
% 0.15/0.33 % (28736)Instructions burned: 2 (million)
% 0.15/0.33 % (28736)------------------------------
% 0.15/0.33 % (28736)------------------------------
% 0.15/0.33 % (28732)Instruction limit reached!
% 0.15/0.33 % (28732)------------------------------
% 0.15/0.33 % (28732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (28732)Termination reason: Unknown
% 0.15/0.33 % (28732)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (28732)Memory used [KB]: 5500
% 0.15/0.33 % (28732)Time elapsed: 0.004 s
% 0.15/0.33 % (28732)Instructions burned: 4 (million)
% 0.15/0.33 % (28732)------------------------------
% 0.15/0.33 % (28732)------------------------------
% 0.15/0.33 % (28737)First to succeed.
% 0.15/0.33 % (28731)Refutation not found, incomplete strategy
% 0.15/0.33 % (28731)------------------------------
% 0.15/0.33 % (28731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (28731)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.33
% 0.15/0.33
% 0.15/0.33 % (28731)Memory used [KB]: 5500
% 0.15/0.33 % (28731)Time elapsed: 0.005 s
% 0.15/0.33 % (28731)Instructions burned: 6 (million)
% 0.15/0.33 % (28731)------------------------------
% 0.15/0.33 % (28731)------------------------------
% 0.15/0.33 % (28737)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for Vampire---4
% 0.15/0.33 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.33 % (28737)------------------------------
% 0.15/0.33 % (28737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (28737)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (28737)Memory used [KB]: 5500
% 0.15/0.33 % (28737)Time elapsed: 0.004 s
% 0.15/0.33 % (28737)Instructions burned: 2 (million)
% 0.15/0.33 % (28737)------------------------------
% 0.15/0.33 % (28737)------------------------------
% 0.15/0.33 % (28730)Success in time 0.004 s
% 0.15/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------