TSTP Solution File: SEV181^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV181^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : n017.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 09:41:39 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 18 unt; 5 typ; 0 def)
% Number of atoms : 185 ( 88 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 301 ( 39 ~; 17 |; 25 &; 194 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 3 con; 0-2 aty)
% ( 0 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 82 ( 37 ^ 40 !; 4 ?; 82 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).
thf(func_def_12,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_14,type,
sK2: $i > $o ).
thf(func_def_15,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK4: $i > $i > $o ).
thf(f59,plain,
$false,
inference(trivial_inequality_removal,[],[f58]) ).
thf(f58,plain,
$true = $false,
inference(duplicate_literal_removal,[],[f45]) ).
thf(f45,plain,
( ( $true = $false )
| ( $true = $false ) ),
inference(superposition,[],[f44,f22]) ).
thf(f22,plain,
( $false
= ( sK2 @ ( sK0 @ sK2 ) ) ),
inference(not_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( $true
= ( ~ ( sK2 @ ( sK0 @ sK2 ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( ~ ( sK2 @ ( sK0 @ sK2 ) )
& ( ( sK0 @ sK2 )
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( ( sK0 @ Y0 )
= ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y2 ) )
& ( ( sK0 @ Y2 )
= Y1 ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f17]) ).
thf(f17,plain,
( $true
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( ( sK0 @ Y0 )
= ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y2 ) )
& ( ( sK0 @ Y2 )
= Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( $true
= ( ^ [Y0: ( $i > $o ) > $i,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y2 ) )
& ( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0
@ ( sK0
@ ( ^ [Y0: ( $i > $o ) > $i,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y2 ) )
& ( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ) ) ),
inference(definition_unfolding,[],[f13,f15,f15]) ).
thf(f15,plain,
( cD_FOR_X5309
= ( ^ [Y0: ( $i > $o ) > $i,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y2 ) )
& ( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( cD_FOR_X5309
= ( ^ [Y0: ( $i > $o ) > $i,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y2 ) )
& ( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
( ( ^ [X0: ( $i > $o ) > $i,X1: $i] :
? [X2: $i > $o] :
( ( ( X0 @ X2 )
= X1 )
& ~ ( X2 @ ( X0 @ X2 ) ) ) )
= cD_FOR_X5309 ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: ( $i > $o ) > $i,X1: $i] :
? [X2: $i > $o] :
( ( ( X0 @ X2 )
= X1 )
& ~ ( X2 @ ( X0 @ X2 ) ) ) )
= cD_FOR_X5309 ),
file('/export/starexec/sandbox2/tmp/tmp.IwQOf9trfP/Vampire---4.8_1560',cD_FOR_X5309_def) ).
thf(f13,plain,
( $true
= ( cD_FOR_X5309 @ sK0 @ ( sK0 @ ( cD_FOR_X5309 @ sK0 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) )
& ( $true
= ( cD_FOR_X5309 @ sK0 @ ( sK0 @ ( cD_FOR_X5309 @ sK0 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11]) ).
thf(f11,plain,
( ? [X0: ( $i > $o ) > $i] :
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 )
!= ( X0 @ X1 ) )
| ( X1 = X2 ) )
& ( ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) )
= $true ) )
=> ( ! [X2: $i > $o,X1: $i > $o] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) )
& ( $true
= ( cD_FOR_X5309 @ sK0 @ ( sK0 @ ( cD_FOR_X5309 @ sK0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: ( $i > $o ) > $i] :
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 )
!= ( X0 @ X1 ) )
| ( X1 = X2 ) )
& ( ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) )
= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f9,plain,
~ ! [X0: ( $i > $o ) > $i] :
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 )
= ( X0 @ X1 ) )
=> ( X1 = X2 ) )
=> ( ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) )
!= $true ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: ( $i > $o ) > $i] :
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 )
= ( X0 @ X1 ) )
=> ( X1 = X2 ) )
=> ( ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) )
!= $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( $i > $o ) > $i] :
( ! [X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 )
= ( X0 @ X1 ) )
=> ( X1 = X2 ) )
=> ~ ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i] :
( ! [X4: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 )
= ( X0 @ X4 ) )
=> ( X3 = X4 ) )
=> ~ ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
! [X0: ( $i > $o ) > $i] :
( ! [X4: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 )
= ( X0 @ X4 ) )
=> ( X3 = X4 ) )
=> ~ ( cD_FOR_X5309 @ X0 @ ( X0 @ ( cD_FOR_X5309 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IwQOf9trfP/Vampire---4.8_1560',cTHM143C_pme) ).
thf(f44,plain,
! [X0: $i > $o] :
( ( $true
= ( sK2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(equality_resolution,[],[f37]) ).
thf(f37,plain,
! [X2: $i > $o,X1: $i] :
( ( ( sK0 @ X2 )
!= X1 )
| ( $true
= ( X2 @ ( sK0 @ X2 ) ) )
| ( $true
= ( sK2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f36]) ).
thf(f36,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( sK2 @ X1 ) )
| ( $true
= ( X2 @ ( sK0 @ X2 ) ) )
| ( ( ( sK0 @ X2 )
= X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f35]) ).
thf(f35,plain,
! [X2: $i > $o,X1: $i] :
( ( ( ~ ( X2 @ ( sK0 @ X2 ) ) )
= $false )
| ( ( ( sK0 @ X2 )
= X1 )
= $false )
| ( $true
= ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
! [X2: $i > $o,X1: $i] :
( ( ( ~ ( X2 @ ( sK0 @ X2 ) )
& ( ( sK0 @ X2 )
= X1 ) )
= $false )
| ( $true
= ( sK2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( sK2 @ X1 ) )
| ( $false
= ( ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( ( sK0 @ Y0 )
= X1 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
! [X1: $i] :
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( ( sK0 @ Y0 )
= X1 ) ) )
= $false )
| ( $true
= ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
! [X1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( ( sK0 @ Y0 )
= X1 ) ) )
= ( sK2 @ X1 ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) )
@ X1 )
= ( sK2 @ X1 ) ),
inference(argument_congruence,[],[f28]) ).
thf(f28,plain,
( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) ) )
= sK2 ),
inference(equality_resolution,[],[f25]) ).
thf(f25,plain,
! [X0: $i > $o] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK2 ) )
| ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) ) )
= X0 ) ),
inference(superposition,[],[f14,f23]) ).
thf(f23,plain,
( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) ) )
= ( sK0 @ sK2 ) ),
inference(equality_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( $true
= ( ( sK0 @ sK2 )
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( ( sK0 @ Y1 )
= Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f14,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV181^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:37:51 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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.IwQOf9trfP/Vampire---4.8_1560
% 0.21/0.37 % (1732)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)
% 0.21/0.37 % (1722)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)
% 0.21/0.37 % (1726)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.21/0.37 % (1725)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)
% 0.21/0.37 % (1724)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)
% 0.21/0.37 % (1727)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)
% 0.21/0.37 % (1730)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)
% 0.21/0.37 % (1731)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.21/0.37 % (1726)Instruction limit reached!
% 0.21/0.37 % (1726)------------------------------
% 0.21/0.37 % (1726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1726)Termination reason: Unknown
% 0.21/0.37 % (1726)Termination phase: Saturation
% 0.21/0.37 % (1727)Instruction limit reached!
% 0.21/0.37 % (1727)------------------------------
% 0.21/0.37 % (1727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1727)Termination reason: Unknown
% 0.21/0.37 % (1727)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (1727)Memory used [KB]: 895
% 0.21/0.37 % (1727)Time elapsed: 0.003 s
% 0.21/0.37 % (1727)Instructions burned: 2 (million)
% 0.21/0.37 % (1727)------------------------------
% 0.21/0.37 % (1727)------------------------------
% 0.21/0.37
% 0.21/0.37 % (1726)Memory used [KB]: 895
% 0.21/0.37 % (1726)Time elapsed: 0.003 s
% 0.21/0.37 % (1726)Instructions burned: 2 (million)
% 0.21/0.37 % (1726)------------------------------
% 0.21/0.37 % (1726)------------------------------
% 0.21/0.37 % (1730)Refutation not found, incomplete strategy
% 0.21/0.37 % (1730)------------------------------
% 0.21/0.37 % (1730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1730)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37
% 0.21/0.37 % (1730)Memory used [KB]: 5500
% 0.21/0.37 % (1730)Time elapsed: 0.003 s
% 0.21/0.37 % (1730)Instructions burned: 2 (million)
% 0.21/0.37 % (1730)------------------------------
% 0.21/0.37 % (1730)------------------------------
% 0.21/0.37 % (1732)Instruction limit reached!
% 0.21/0.37 % (1732)------------------------------
% 0.21/0.37 % (1732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1732)Termination reason: Unknown
% 0.21/0.37 % (1732)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (1732)Memory used [KB]: 5500
% 0.21/0.37 % (1732)Time elapsed: 0.004 s
% 0.21/0.37 % (1732)Instructions burned: 3 (million)
% 0.21/0.37 % (1732)------------------------------
% 0.21/0.37 % (1732)------------------------------
% 0.21/0.37 % (1724)Instruction limit reached!
% 0.21/0.37 % (1724)------------------------------
% 0.21/0.37 % (1724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1724)Termination reason: Unknown
% 0.21/0.37 % (1724)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (1724)Memory used [KB]: 5500
% 0.21/0.37 % (1724)Time elapsed: 0.005 s
% 0.21/0.37 % (1724)Instructions burned: 4 (million)
% 0.21/0.37 % (1724)------------------------------
% 0.21/0.37 % (1724)------------------------------
% 0.21/0.38 % (1731)First to succeed.
% 0.21/0.38 % (1725)Also succeeded, but the first one will report.
% 0.21/0.38 % (1731)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for Vampire---4
% 0.21/0.38 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.38 % (1731)------------------------------
% 0.21/0.38 % (1731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (1731)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (1731)Memory used [KB]: 5500
% 0.21/0.38 % (1731)Time elapsed: 0.008 s
% 0.21/0.38 % (1731)Instructions burned: 6 (million)
% 0.21/0.38 % (1731)------------------------------
% 0.21/0.38 % (1731)------------------------------
% 0.21/0.38 % (1721)Success in time 0.009 s
% 0.21/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------