TSTP Solution File: SEV385^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV385^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 : Mon Jun 24 16:03:40 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 206 ( 178 equ; 1 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 426 ( 76 ~; 57 |; 32 &; 247 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 179 ( 104 ^ 59 !; 16 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
x: b ).
thf(func_def_3,type,
y: a ).
thf(func_def_12,type,
sK0: ( b > a ) > b ).
thf(func_def_13,type,
sK1: ( b > a ) > a ).
thf(func_def_15,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
sK4: b > ( b > a ) > b ).
thf(func_def_33,type,
sK5: b > ( b > a ) > b ).
thf(f374,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f330,f373]) ).
thf(f373,plain,
~ spl2_17,
inference(avatar_contradiction_clause,[],[f372]) ).
thf(f372,plain,
( $false
| ~ spl2_17 ),
inference(subsumption_resolution,[],[f344,f26]) ).
thf(f26,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] : y ) ) ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] :
( sK1
@ ( ^ [Y3: b,Y4: b,Y5: b] : y
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
( ( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] :
( sK1
@ ( ^ [Y3: b,Y4: b,Y5: b] : y
@ Y1
@ Y2 ) )
@ Y0 ) ) ) )
| ( y != y ) ),
inference(superposition,[],[f12,f23]) ).
thf(f23,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] : y ) ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] : y
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[],[f21]) ).
thf(f21,plain,
( ( y != y )
| ( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] : y
@ Y0 ) ) ) ) ),
inference(superposition,[],[f12,f19]) ).
thf(f19,plain,
( y
= ( sK1
@ ^ [Y0: b] : y ) ),
inference(equality_resolution,[],[f12]) ).
thf(f12,plain,
! [X0: b > a] :
( ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( y
= ( sK1 @ X0 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
! [X0: b > a] :
( ( ( x
= ( sK0 @ X0 ) )
& ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) )
| ( ! [X3: b] :
( ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= ( sK1 @ X0 ) ) ) ) )
& ( y
= ( sK1 @ X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
thf(f9,plain,
! [X0: b > a] :
( ? [X1: b] :
( ( x = X1 )
& ( y
!= ( X0 @ X1 ) ) )
=> ( ( x
= ( sK0 @ X0 ) )
& ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X0: b > a] :
( ? [X2: a] :
( ! [X3: b] :
( ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= X2 ) ) ) )
& ( y = X2 ) )
=> ( ! [X3: b] :
( ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= ( sK1 @ X0 ) ) ) ) )
& ( y
= ( sK1 @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
! [X0: b > a] :
( ? [X1: b] :
( ( x = X1 )
& ( y
!= ( X0 @ X1 ) ) )
| ? [X2: a] :
( ! [X3: b] :
( ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= X2 ) ) ) )
& ( y = X2 ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
! [X0: b > a] :
( ? [X3: b] :
( ( x = X3 )
& ( y
!= ( X0 @ X3 ) ) )
| ? [X1: a] :
( ! [X2: b] :
( ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= X1 ) ) )
!= ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X2 ) )
& ( y = X1 ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: b > a] :
( ! [X3: b] :
( ( x = X3 )
=> ( y
= ( X0 @ X3 ) ) )
& ! [X1: a] :
( ( y = X1 )
=> ? [X2: b] :
( ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= X1 ) ) )
= ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ? [X0: b > a] :
( ! [X1: a] :
( ( y = X1 )
=> ? [X2: b] :
( ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= X1 ) ) )
= ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X2 ) ) )
& ! [X6: b] :
( ( x = X6 )
=> ( y
= ( X0 @ X6 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: b > a] :
( ! [X1: a] :
( ( y = X1 )
=> ? [X2: b] :
( ( ^ [X3: b] :
( ( ( X0 @ X3 )
= X1 )
& ( x = X3 ) ) )
= ( ^ [X4: b,X5: b] : ( X4 = X5 )
@ X2 ) ) )
& ! [X6: b] :
( ( x = X6 )
=> ( y
= ( X0 @ X6 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: b > a] :
( ! [X2: a] :
( ( y = X2 )
=> ? [X3: b] :
( ( ^ [X4: b] :
( ( ( X0 @ X4 )
= X2 )
& ( x = X4 ) ) )
= ( ^ [X5: b,X6: b] : ( X5 = X6 )
@ X3 ) ) )
& ! [X1: b] :
( ( x = X1 )
=> ( y
= ( X0 @ X1 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: b > a] :
( ! [X2: a] :
( ( y = X2 )
=> ? [X3: b] :
( ( ^ [X4: b] :
( ( ( X0 @ X4 )
= X2 )
& ( x = X4 ) ) )
= ( ^ [X5: b,X6: b] : ( X5 = X6 )
@ X3 ) ) )
& ! [X1: b] :
( ( x = X1 )
=> ( y
= ( X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6004_pme) ).
thf(f344,plain,
( ( y
!= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] : y ) ) ) )
| ~ spl2_17 ),
inference(duplicate_literal_removal,[],[f343]) ).
thf(f343,plain,
( ( y
!= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] : y ) ) ) )
| ( y
!= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] : y ) ) ) )
| ~ spl2_17 ),
inference(beta_eta_normalization,[],[f337]) ).
thf(f337,plain,
( ( y
!= ( ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] :
( sK1
@ ^ [Y3: b] : y ) ) )
@ ( sK0
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] :
( sK1
@ ^ [Y3: b] : y ) ) ) ) ) )
| ( y
!= ( ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] :
( sK1
@ ^ [Y3: b] : y ) ) )
@ x ) )
| ~ spl2_17 ),
inference(superposition,[],[f329,f29]) ).
thf(f29,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ^ [Y1: b] :
( sK1
@ ^ [Y2: b] :
( sK1
@ ^ [Y3: b] : y ) ) ) ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] :
( sK1
@ ( ^ [Y3: b,Y4: b,Y5: b] :
( sK1
@ ( ^ [Y6: b,Y7: b,Y8: b,Y9: b] : y
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[],[f27]) ).
thf(f27,plain,
( ( y != y )
| ( y
= ( sK1
@ ^ [Y0: b] :
( sK1
@ ( ^ [Y1: b,Y2: b] :
( sK1
@ ( ^ [Y3: b,Y4: b,Y5: b] :
( sK1
@ ( ^ [Y6: b,Y7: b,Y8: b,Y9: b] : y
@ Y3
@ Y4
@ Y5 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) ),
inference(superposition,[],[f12,f26]) ).
thf(f329,plain,
( ! [X1: b > a] :
( ( ( X1 @ x )
!= ( sK1 @ X1 ) )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f328]) ).
thf(f328,plain,
( spl2_17
<=> ! [X1: b > a] :
( ( ( X1 @ x )
!= ( sK1 @ X1 ) )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
thf(f330,plain,
( spl2_17
| spl2_10 ),
inference(avatar_split_clause,[],[f326,f164,f328]) ).
thf(f164,plain,
( spl2_10
<=> ! [X0: b] : ( x != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
thf(f326,plain,
! [X0: b,X1: b > a] :
( ( ( X1 @ x )
!= ( sK1 @ X1 ) )
| ( x != X0 )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f325,plain,
! [X0: b,X1: b > a] :
( ( y
!= ( X1 @ ( sK0 @ X1 ) ) )
| ( ( X1 @ x )
!= ( sK1 @ X1 ) )
| ( x != x )
| ( x != X0 ) ),
inference(duplicate_literal_removal,[],[f322]) ).
thf(f322,plain,
! [X0: b,X1: b > a] :
( ( x != X0 )
| ( ( X1 @ x )
!= ( sK1 @ X1 ) )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) )
| ( x != X0 )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) )
| ( x != x ) ),
inference(superposition,[],[f232,f280]) ).
thf(f280,plain,
! [X0: b,X1: b > a] :
( ( x
= ( sK5 @ X0 @ X1 ) )
| ( x != X0 )
| ( y
!= ( X1 @ ( sK0 @ X1 ) ) ) ),
inference(equality_factoring,[],[f236]) ).
thf(f236,plain,
! [X3: b,X0: b > a] :
( ( ( sK5 @ X3 @ X0 )
= X3 )
| ( x
= ( sK5 @ X3 @ X0 ) )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(equality_proxy_clausification,[],[f235]) ).
thf(f235,plain,
! [X3: b,X0: b > a] :
( ( $true
= ( x
= ( sK5 @ X3 @ X0 ) ) )
| ( ( sK5 @ X3 @ X0 )
= X3 )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(binary_proxy_clausification,[],[f233]) ).
thf(f233,plain,
! [X3: b,X0: b > a] :
( ( ( sK5 @ X3 @ X0 )
= X3 )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( ( x
= ( sK5 @ X3 @ X0 ) )
& ( ( X0 @ ( sK5 @ X3 @ X0 ) )
= ( sK1 @ X0 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f227]) ).
thf(f227,plain,
! [X3: b,X0: b > a] :
( ( ( X3
= ( sK5 @ X3 @ X0 ) )
= $true )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( ( x
= ( sK5 @ X3 @ X0 ) )
& ( ( X0 @ ( sK5 @ X3 @ X0 ) )
= ( sK1 @ X0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f226]) ).
thf(f226,plain,
! [X3: b,X0: b > a] :
( ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( X3
= ( sK5 @ X3 @ X0 ) )
!= ( ( x
= ( sK5 @ X3 @ X0 ) )
& ( ( X0 @ ( sK5 @ X3 @ X0 ) )
= ( sK1 @ X0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f225]) ).
thf(f225,plain,
! [X3: b,X0: b > a] :
( ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= ( sK1 @ X0 ) ) )
@ ( sK5 @ X3 @ X0 ) )
!= ( X3
= ( sK5 @ X3 @ X0 ) ) ) ),
inference(negative_extensionality,[],[f16]) ).
thf(f16,plain,
! [X3: b,X0: b > a] :
( ( ( (=) @ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= ( sK1 @ X0 ) ) ) ) )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(beta_eta_normalization,[],[f13]) ).
thf(f13,plain,
! [X3: b,X0: b > a] :
( ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( ^ [Y0: b,Y1: b] : ( Y0 = Y1 )
@ X3 )
!= ( ^ [Y0: b] :
( ( x = Y0 )
& ( ( X0 @ Y0 )
= ( sK1 @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f232,plain,
! [X3: b,X0: b > a] :
( ( ( X0 @ ( sK5 @ X3 @ X0 ) )
!= ( sK1 @ X0 ) )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( x
!= ( sK5 @ X3 @ X0 ) )
| ( ( sK5 @ X3 @ X0 )
!= X3 ) ),
inference(equality_proxy_clausification,[],[f231]) ).
thf(f231,plain,
! [X3: b,X0: b > a] :
( ( ( X3
= ( sK5 @ X3 @ X0 ) )
= $false )
| ( x
!= ( sK5 @ X3 @ X0 ) )
| ( ( X0 @ ( sK5 @ X3 @ X0 ) )
!= ( sK1 @ X0 ) )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(equality_proxy_clausification,[],[f230]) ).
thf(f230,plain,
! [X3: b,X0: b > a] :
( ( ( x
= ( sK5 @ X3 @ X0 ) )
= $false )
| ( ( X0 @ ( sK5 @ X3 @ X0 ) )
!= ( sK1 @ X0 ) )
| ( ( X3
= ( sK5 @ X3 @ X0 ) )
= $false )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(equality_proxy_clausification,[],[f229]) ).
thf(f229,plain,
! [X3: b,X0: b > a] :
( ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( $false
= ( ( X0 @ ( sK5 @ X3 @ X0 ) )
= ( sK1 @ X0 ) ) )
| ( ( X3
= ( sK5 @ X3 @ X0 ) )
= $false )
| ( ( x
= ( sK5 @ X3 @ X0 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f228]) ).
thf(f228,plain,
! [X3: b,X0: b > a] :
( ( $false
= ( ( x
= ( sK5 @ X3 @ X0 ) )
& ( ( X0 @ ( sK5 @ X3 @ X0 ) )
= ( sK1 @ X0 ) ) ) )
| ( y
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( X3
= ( sK5 @ X3 @ X0 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f226]) ).
thf(f240,plain,
~ spl2_10,
inference(avatar_contradiction_clause,[],[f239]) ).
thf(f239,plain,
( $false
| ~ spl2_10 ),
inference(equality_resolution,[],[f165]) ).
thf(f165,plain,
( ! [X0: b] : ( x != X0 )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEV385^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 18:25:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.39 % (13595)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 theBenchmark for (2999ds/27Mi)
% 0.13/0.39 % (13593)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (13597)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 (2999ds/2Mi)
% 0.13/0.39 % (13596)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (13598)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 (2999ds/275Mi)
% 0.13/0.39 % (13594)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 (2999ds/4Mi)
% 0.13/0.39 % (13596)Instruction limit reached!
% 0.13/0.39 % (13596)------------------------------
% 0.13/0.39 % (13596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (13597)Instruction limit reached!
% 0.13/0.39 % (13597)------------------------------
% 0.13/0.39 % (13597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (13596)Termination reason: Unknown
% 0.13/0.39 % (13596)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (13596)Memory used [KB]: 5500
% 0.13/0.39 % (13596)Time elapsed: 0.004 s
% 0.13/0.39 % (13596)Instructions burned: 2 (million)
% 0.13/0.39 % (13596)------------------------------
% 0.13/0.39 % (13596)------------------------------
% 0.13/0.39 % (13597)Termination reason: Unknown
% 0.13/0.39 % (13597)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (13597)Memory used [KB]: 5500
% 0.13/0.39 % (13597)Time elapsed: 0.004 s
% 0.13/0.39 % (13597)Instructions burned: 2 (million)
% 0.13/0.39 % (13597)------------------------------
% 0.13/0.39 % (13597)------------------------------
% 0.13/0.39 % (13594)Instruction limit reached!
% 0.13/0.39 % (13594)------------------------------
% 0.13/0.39 % (13594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (13594)Termination reason: Unknown
% 0.13/0.39 % (13594)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (13594)Memory used [KB]: 5500
% 0.13/0.39 % (13594)Time elapsed: 0.005 s
% 0.13/0.39 % (13594)Instructions burned: 4 (million)
% 0.13/0.39 % (13594)------------------------------
% 0.13/0.39 % (13594)------------------------------
% 0.13/0.39 % (13595)Refutation not found, incomplete strategy
% 0.13/0.39 % (13595)------------------------------
% 0.13/0.39 % (13595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (13595)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (13595)Memory used [KB]: 5500
% 0.13/0.39 % (13595)Time elapsed: 0.007 s
% 0.13/0.39 % (13595)Instructions burned: 5 (million)
% 0.13/0.39 % (13595)------------------------------
% 0.13/0.39 % (13595)------------------------------
% 0.13/0.39 % (13598)Refutation not found, incomplete strategy
% 0.13/0.39 % (13598)------------------------------
% 0.13/0.39 % (13598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (13598)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (13598)Memory used [KB]: 5500
% 0.13/0.39 % (13598)Time elapsed: 0.009 s
% 0.13/0.39 % (13598)Instructions burned: 9 (million)
% 0.13/0.39 % (13598)------------------------------
% 0.13/0.39 % (13598)------------------------------
% 0.13/0.40 % (13599)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.40 % (13601)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.40 % (13600)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (13602)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.41 % (13600)Instruction limit reached!
% 0.22/0.41 % (13600)------------------------------
% 0.22/0.41 % (13600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (13600)Termination reason: Unknown
% 0.22/0.41 % (13600)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (13600)Memory used [KB]: 5500
% 0.22/0.41 % (13600)Time elapsed: 0.005 s
% 0.22/0.41 % (13600)Instructions burned: 3 (million)
% 0.22/0.41 % (13600)------------------------------
% 0.22/0.41 % (13600)------------------------------
% 0.22/0.41 % (13603)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (13599)Instruction limit reached!
% 0.22/0.41 % (13599)------------------------------
% 0.22/0.41 % (13599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (13599)Termination reason: Unknown
% 0.22/0.41 % (13599)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (13599)Memory used [KB]: 5628
% 0.22/0.41 % (13599)Time elapsed: 0.015 s
% 0.22/0.41 % (13599)Instructions burned: 19 (million)
% 0.22/0.41 % (13599)------------------------------
% 0.22/0.41 % (13599)------------------------------
% 0.22/0.41 % (13604)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (13603)Instruction limit reached!
% 0.22/0.41 % (13603)------------------------------
% 0.22/0.41 % (13603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (13603)Termination reason: Unknown
% 0.22/0.41 % (13603)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (13603)Memory used [KB]: 5500
% 0.22/0.41 % (13603)Time elapsed: 0.005 s
% 0.22/0.41 % (13603)Instructions burned: 3 (million)
% 0.22/0.41 % (13603)------------------------------
% 0.22/0.41 % (13603)------------------------------
% 0.22/0.41 % (13602)Refutation not found, incomplete strategy
% 0.22/0.41 % (13602)------------------------------
% 0.22/0.41 % (13602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (13602)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (13602)Memory used [KB]: 5500
% 0.22/0.41 % (13602)Time elapsed: 0.009 s
% 0.22/0.41 % (13602)Instructions burned: 9 (million)
% 0.22/0.41 % (13602)------------------------------
% 0.22/0.41 % (13602)------------------------------
% 0.22/0.42 % (13601)Instruction limit reached!
% 0.22/0.42 % (13601)------------------------------
% 0.22/0.42 % (13601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (13601)Termination reason: Unknown
% 0.22/0.42 % (13601)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (13601)Memory used [KB]: 5756
% 0.22/0.42 % (13601)Time elapsed: 0.021 s
% 0.22/0.42 % (13601)Instructions burned: 37 (million)
% 0.22/0.42 % (13601)------------------------------
% 0.22/0.42 % (13601)------------------------------
% 0.22/0.42 % (13605)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (13606)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (13607)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (13607)Instruction limit reached!
% 0.22/0.43 % (13607)------------------------------
% 0.22/0.43 % (13607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (13605)Instruction limit reached!
% 0.22/0.43 % (13605)------------------------------
% 0.22/0.43 % (13605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (13607)Termination reason: Unknown
% 0.22/0.43 % (13607)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (13607)Memory used [KB]: 5500
% 0.22/0.43 % (13607)Time elapsed: 0.004 s
% 0.22/0.43 % (13607)Instructions burned: 3 (million)
% 0.22/0.43 % (13607)------------------------------
% 0.22/0.43 % (13607)------------------------------
% 0.22/0.43 % (13605)Termination reason: Unknown
% 0.22/0.43 % (13605)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (13605)Memory used [KB]: 1023
% 0.22/0.43 % (13605)Time elapsed: 0.008 s
% 0.22/0.43 % (13605)Instructions burned: 8 (million)
% 0.22/0.43 % (13605)------------------------------
% 0.22/0.43 % (13605)------------------------------
% 0.22/0.43 % (13608)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (13608)Instruction limit reached!
% 0.22/0.43 % (13608)------------------------------
% 0.22/0.43 % (13608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (13608)Termination reason: Unknown
% 0.22/0.43 % (13608)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (13608)Memory used [KB]: 1023
% 0.22/0.43 % (13608)Time elapsed: 0.004 s
% 0.22/0.43 % (13608)Instructions burned: 3 (million)
% 0.22/0.43 % (13608)------------------------------
% 0.22/0.43 % (13608)------------------------------
% 0.22/0.44 % (13606)Instruction limit reached!
% 0.22/0.44 % (13606)------------------------------
% 0.22/0.44 % (13606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (13606)Termination reason: Unknown
% 0.22/0.44 % (13606)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (13606)Memory used [KB]: 5628
% 0.22/0.44 % (13606)Time elapsed: 0.014 s
% 0.22/0.44 % (13606)Instructions burned: 17 (million)
% 0.22/0.44 % (13606)------------------------------
% 0.22/0.44 % (13606)------------------------------
% 0.22/0.44 % (13609)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (13609)Instruction limit reached!
% 0.22/0.44 % (13609)------------------------------
% 0.22/0.44 % (13609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (13609)Termination reason: Unknown
% 0.22/0.44 % (13609)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (13609)Memory used [KB]: 5500
% 0.22/0.44 % (13609)Time elapsed: 0.007 s
% 0.22/0.44 % (13609)Instructions burned: 7 (million)
% 0.22/0.44 % (13609)------------------------------
% 0.22/0.44 % (13609)------------------------------
% 0.22/0.44 % (13610)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (13611)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (13610)Instruction limit reached!
% 0.22/0.44 % (13610)------------------------------
% 0.22/0.44 % (13610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (13610)Termination reason: Unknown
% 0.22/0.44 % (13610)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (13610)Memory used [KB]: 5500
% 0.22/0.44 % (13610)Time elapsed: 0.004 s
% 0.22/0.44 % (13610)Instructions burned: 3 (million)
% 0.22/0.44 % (13610)------------------------------
% 0.22/0.44 % (13610)------------------------------
% 0.22/0.45 % (13612)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (13611)Instruction limit reached!
% 0.22/0.45 % (13611)------------------------------
% 0.22/0.45 % (13611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (13611)Termination reason: Unknown
% 0.22/0.45 % (13611)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (13611)Memory used [KB]: 5500
% 0.22/0.45 % (13611)Time elapsed: 0.005 s
% 0.22/0.45 % (13611)Instructions burned: 4 (million)
% 0.22/0.45 % (13611)------------------------------
% 0.22/0.45 % (13611)------------------------------
% 0.22/0.45 % (13613)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (13612)Refutation not found, incomplete strategy
% 0.22/0.45 % (13612)------------------------------
% 0.22/0.45 % (13612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (13612)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (13612)Memory used [KB]: 5500
% 0.22/0.45 % (13612)Time elapsed: 0.009 s
% 0.22/0.45 % (13612)Instructions burned: 9 (million)
% 0.22/0.45 % (13612)------------------------------
% 0.22/0.45 % (13612)------------------------------
% 0.22/0.46 % (13614)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (13616)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.46 % (13615)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.46 % (13614)Instruction limit reached!
% 0.22/0.46 % (13614)------------------------------
% 0.22/0.46 % (13614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (13614)Termination reason: Unknown
% 0.22/0.46 % (13614)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (13614)Memory used [KB]: 5500
% 0.22/0.46 % (13614)Time elapsed: 0.007 s
% 0.22/0.46 % (13614)Instructions burned: 7 (million)
% 0.22/0.46 % (13614)------------------------------
% 0.22/0.46 % (13614)------------------------------
% 0.22/0.47 % (13616)Instruction limit reached!
% 0.22/0.47 % (13616)------------------------------
% 0.22/0.47 % (13616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (13616)Termination reason: Unknown
% 0.22/0.47 % (13616)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (13616)Memory used [KB]: 5628
% 0.22/0.47 % (13616)Time elapsed: 0.032 s
% 0.22/0.47 % (13616)Instructions burned: 21 (million)
% 0.22/0.47 % (13616)------------------------------
% 0.22/0.47 % (13616)------------------------------
% 0.22/0.47 % (13617)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (13617)Instruction limit reached!
% 0.22/0.47 % (13617)------------------------------
% 0.22/0.47 % (13617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (13617)Termination reason: Unknown
% 0.22/0.47 % (13617)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (13617)Memory used [KB]: 5500
% 0.22/0.47 % (13617)Time elapsed: 0.028 s
% 0.22/0.47 % (13617)Instructions burned: 5 (million)
% 0.22/0.47 % (13617)------------------------------
% 0.22/0.47 % (13617)------------------------------
% 0.22/0.48 % (13619)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.48 % (13618)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (13619)Refutation not found, incomplete strategy
% 0.22/0.48 % (13619)------------------------------
% 0.22/0.48 % (13619)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (13619)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (13619)Memory used [KB]: 5500
% 0.22/0.48 % (13619)Time elapsed: 0.005 s
% 0.22/0.48 % (13619)Instructions burned: 7 (million)
% 0.22/0.48 % (13619)------------------------------
% 0.22/0.48 % (13619)------------------------------
% 0.22/0.48 % (13618)Instruction limit reached!
% 0.22/0.48 % (13618)------------------------------
% 0.22/0.48 % (13618)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (13618)Termination reason: Unknown
% 0.22/0.48 % (13618)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (13618)Memory used [KB]: 5500
% 0.22/0.48 % (13618)Time elapsed: 0.006 s
% 0.22/0.48 % (13618)Instructions burned: 6 (million)
% 0.22/0.48 % (13618)------------------------------
% 0.22/0.48 % (13618)------------------------------
% 0.22/0.49 % (13593)First to succeed.
% 0.22/0.49 % (13620)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.49 % (13593)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (13593)------------------------------
% 0.22/0.49 % (13593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (13593)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (13593)Memory used [KB]: 6780
% 0.22/0.49 % (13593)Time elapsed: 0.104 s
% 0.22/0.49 % (13593)Instructions burned: 182 (million)
% 0.22/0.49 % (13593)------------------------------
% 0.22/0.49 % (13593)------------------------------
% 0.22/0.49 % (13592)Success in time 0.124 s
%------------------------------------------------------------------------------