TSTP Solution File: SEV190^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV190^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 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 : n021.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 04:12:19 EDT 2024
% Result : Theorem 0.25s 0.47s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 51 unt; 10 typ; 0 def)
% Number of atoms : 529 ( 98 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 1792 ( 21 ~; 0 |; 137 &;1317 @)
% ( 0 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 7 con; 0-3 aty)
% ( 235 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 354 ( 258 ^ 95 !; 0 ?; 354 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
c0: iS ).
thf(func_def_2,type,
cJOIN: iS > iS > iS > $o ).
thf(func_def_3,type,
cP: iS > iS > iS ).
thf(func_def_4,type,
cS_JOIN_CLOS: iS > ( iS > iS > iS ) > ( iS > iS > iS > $o ) > $o ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK2: iS ).
thf(func_def_25,type,
sK3: iS ).
thf(func_def_26,type,
sK4: iS ).
thf(f236,plain,
$false,
inference(trivial_inequality_removal,[],[f235]) ).
thf(f235,plain,
$false = $true,
inference(superposition,[],[f91,f227]) ).
thf(f227,plain,
( $false
= ( ( ( cJOIN @ sK3 @ sK3 @ sK3 )
& ( cJOIN @ sK4 @ sK4 @ sK4 ) )
=> ( cJOIN @ ( cP @ sK3 @ sK4 ) @ ( cP @ sK3 @ sK4 ) @ ( cP @ sK3 @ sK4 ) ) ) ),
inference(beta_eta_normalization,[],[f225]) ).
thf(f225,plain,
( $false
= ( ^ [Y0: iS] :
( ( ( cJOIN @ sK3 @ sK3 @ sK3 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ sK3 @ Y0 ) @ ( cP @ sK3 @ Y0 ) @ ( cP @ sK3 @ Y0 ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f213]) ).
thf(f213,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ sK3 @ sK3 @ sK3 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ sK3 @ Y0 ) @ ( cP @ sK3 @ Y0 ) @ ( cP @ sK3 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f211]) ).
thf(f211,plain,
( $false
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f203]) ).
thf(f203,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( ~ ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f56]) ).
thf(f56,plain,
( ( ~ ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f37,f55]) ).
thf(f55,plain,
! [X1: iS] :
( ( cJOIN @ c0 @ X1 @ X1 )
= $true ),
inference(beta_eta_normalization,[],[f51]) ).
thf(f51,plain,
! [X1: iS] :
( ( ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
= $true ),
inference(boolean_simplification,[],[f44]) ).
thf(f44,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f39,f42]) ).
thf(f42,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f32]) ).
thf(f32,plain,
( $true
= ( $true
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f27,f31]) ).
thf(f31,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( $true
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f26]) ).
thf(f26,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f17,f24]) ).
thf(f24,plain,
( $true
= ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( $true
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y5 @ Y7 @ Y3 )
& ( Y2 @ Y4 @ Y6 @ Y8 ) )
=> ( Y2 @ ( Y1 @ Y5 @ Y4 ) @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) ) ) ) ) ) ) ) ) )
@ c0
@ cP
@ cJOIN )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f9,f10]) ).
thf(f10,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y5 @ Y7 @ Y3 )
& ( Y2 @ Y4 @ Y6 @ Y8 ) )
=> ( Y2 @ ( Y1 @ Y5 @ Y4 ) @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y5 @ Y7 @ Y3 )
& ( Y2 @ Y4 @ Y6 @ Y8 ) )
=> ( Y2 @ ( Y1 @ Y5 @ Y4 ) @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
( cS_JOIN_CLOS
= ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X3: iS,X4: iS,X5: iS,X6: iS,X7: iS,X8: iS] :
( ( ( X2 @ X7 @ X5 @ X3 )
& ( X2 @ X6 @ X4 @ X8 ) )
=> ( X2 @ ( X1 @ X6 @ X7 ) @ ( X1 @ X4 @ X5 ) @ ( X1 @ X8 @ X3 ) ) )
& ! [X9: iS] : ( X2 @ X9 @ X0 @ X9 )
& ! [X10: iS] : ( X2 @ X0 @ X10 @ X10 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( cS_JOIN_CLOS
= ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X8: iS,X4: iS,X7: iS,X3: iS,X6: iS,X5: iS] :
( ( ( X2 @ X6 @ X7 @ X8 )
& ( X2 @ X3 @ X4 @ X5 ) )
=> ( X2 @ ( X1 @ X3 @ X6 ) @ ( X1 @ X4 @ X7 ) @ ( X1 @ X5 @ X8 ) ) )
& ! [X3: iS] : ( X2 @ X3 @ X0 @ X3 )
& ! [X4: iS] : ( X2 @ X0 @ X4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_JOIN_CLOS_def) ).
thf(f9,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ Y0 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: iS > $o] :
( ( ! [X1: iS,X2: iS] :
( ( ( X0 @ X1 )
& ( X0 @ X2 ) )
=> ( X0 @ ( cP @ X2 @ X1 ) ) )
& ( X0 @ c0 ) )
=> ! [X3: iS] : ( X0 @ X3 ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( ( cP @ X4 @ X7 )
= ( cP @ X6 @ X5 ) )
=> ( ( X5 = X7 )
& ( X4 = X6 ) ) )
& ! [X8: iS,X9: iS] :
( c0
!= ( cP @ X8 @ X9 ) ) )
=> ! [X10: iS] : ( cJOIN @ X10 @ X10 @ X10 ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ( ( ! [X9: iS > $o] :
( ( ! [X4: iS,X3: iS] :
( ( ( X9 @ X4 )
& ( X9 @ X3 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X3: iS,X7: iS,X4: iS,X6: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X6 = X7 )
& ( X3 = X4 ) ) )
& ! [X3: iS,X4: iS] :
( ( cP @ X3 @ X4 )
!= c0 ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
( ( ! [X9: iS > $o] :
( ( ! [X4: iS,X3: iS] :
( ( ( X9 @ X4 )
& ( X9 @ X3 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X3: iS,X7: iS,X4: iS,X6: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X6 = X7 )
& ( X3 = X4 ) ) )
& ! [X3: iS,X4: iS] :
( ( cP @ X3 @ X4 )
!= c0 ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM580_pme) ).
thf(f37,plain,
( $true
= ( ~ ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f36]) ).
thf(f36,plain,
( $true
= ( ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) )
=> $false ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
( ( ( ( ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 )
@ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y0 )
& ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y1 ) )
=> ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ ( cP @ Y0 @ Y1 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[],[f29,f16]) ).
thf(f16,plain,
( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
= $false ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f29,plain,
! [X1: iS > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X1: iS > $o] :
( $true
= ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f24]) ).
thf(f91,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( $true
= ( ( ( cJOIN @ X3 @ X5 @ X1 )
& ( cJOIN @ X2 @ X4 @ X6 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ X6 ) ) ) ),
inference(beta_eta_normalization,[],[f87]) ).
thf(f87,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( $true
= ( ^ [Y0: iS] :
( ( ( cJOIN @ X3 @ X5 @ X1 )
& ( cJOIN @ X2 @ X4 @ Y0 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ Y0 ) ) )
@ X6 ) ),
inference(pi_clausification,[],[f84]) ).
thf(f84,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ X3 @ X5 @ X1 )
& ( cJOIN @ X2 @ X4 @ Y0 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ X3 @ Y0 @ X1 )
& ( cJOIN @ X2 @ X4 @ Y1 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ Y0 @ X4 ) @ ( cP @ X1 @ Y1 ) ) ) )
@ X5 )
= $true ),
inference(pi_clausification,[],[f77]) ).
thf(f77,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ X3 @ Y0 @ X1 )
& ( cJOIN @ X2 @ X4 @ Y1 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ Y0 @ X4 ) @ ( cP @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ X3 @ Y1 @ X1 )
& ( cJOIN @ X2 @ Y0 @ Y2 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ Y2 ) ) ) ) )
@ X4 ) ),
inference(pi_clausification,[],[f67]) ).
thf(f67,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ X3 @ Y1 @ X1 )
& ( cJOIN @ X2 @ Y0 @ Y2 ) )
=> ( cJOIN @ ( cP @ X3 @ X2 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ Y2 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y0 @ Y2 @ X1 )
& ( cJOIN @ X2 @ Y1 @ Y3 ) )
=> ( cJOIN @ ( cP @ Y0 @ X2 ) @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y3 ) ) ) ) ) )
@ X3 ) ),
inference(pi_clausification,[],[f62]) ).
thf(f62,plain,
! [X2: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y0 @ Y2 @ X1 )
& ( cJOIN @ X2 @ Y1 @ Y3 ) )
=> ( cJOIN @ ( cP @ Y0 @ X2 ) @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X2: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y1 @ Y3 @ X1 )
& ( cJOIN @ Y0 @ Y2 @ Y4 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ X1 @ Y4 ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f48]) ).
thf(f48,plain,
! [X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y1 @ Y3 @ X1 )
& ( cJOIN @ Y0 @ Y2 @ Y4 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ X1 @ Y4 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f40]) ).
thf(f40,plain,
( $true
= ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y2 @ Y4 @ Y0 )
& ( cJOIN @ Y1 @ Y3 @ Y5 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f33,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV190^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.12/0.14 % 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
% 0.15/0.38 % Computer : n021.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun May 19 18:49:53 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 This is a TH0_THM_EQU_NAR problem
% 0.15/0.39 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
% 0.15/0.41 % (14005)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)
% 0.15/0.41 % (14006)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.41 % (14007)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)
% 0.15/0.41 % (14004)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)
% 0.15/0.41 % (14009)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.41 % (14008)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)
% 0.15/0.41 % (14006)Instruction limit reached!
% 0.15/0.41 % (14006)------------------------------
% 0.15/0.41 % (14006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14006)Termination reason: Unknown
% 0.15/0.41 % (14006)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (14007)Instruction limit reached!
% 0.15/0.41 % (14007)------------------------------
% 0.15/0.41 % (14007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14007)Termination reason: Unknown
% 0.15/0.41 % (14007)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (14007)Memory used [KB]: 1023
% 0.15/0.41 % (14007)Time elapsed: 0.003 s
% 0.15/0.41 % (14007)Instructions burned: 2 (million)
% 0.15/0.41 % (14007)------------------------------
% 0.15/0.41 % (14007)------------------------------
% 0.15/0.41 % (14006)Memory used [KB]: 895
% 0.15/0.41 % (14006)Time elapsed: 0.003 s
% 0.15/0.41 % (14006)Instructions burned: 2 (million)
% 0.15/0.41 % (14006)------------------------------
% 0.15/0.41 % (14006)------------------------------
% 0.15/0.41 % (14003)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.41 % (14010)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)
% 0.15/0.41 % (14004)Instruction limit reached!
% 0.15/0.41 % (14004)------------------------------
% 0.15/0.41 % (14004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14004)Termination reason: Unknown
% 0.15/0.41 % (14004)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (14004)Memory used [KB]: 5500
% 0.15/0.41 % (14004)Time elapsed: 0.005 s
% 0.15/0.41 % (14004)Instructions burned: 5 (million)
% 0.15/0.41 % (14004)------------------------------
% 0.15/0.41 % (14004)------------------------------
% 0.15/0.41 % (14010)Instruction limit reached!
% 0.15/0.41 % (14010)------------------------------
% 0.15/0.41 % (14010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14010)Termination reason: Unknown
% 0.15/0.41 % (14010)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (14010)Memory used [KB]: 5500
% 0.15/0.41 % (14010)Time elapsed: 0.004 s
% 0.15/0.41 % (14010)Instructions burned: 4 (million)
% 0.15/0.41 % (14010)------------------------------
% 0.15/0.41 % (14010)------------------------------
% 0.15/0.41 % (14005)Refutation not found, incomplete strategy
% 0.15/0.41 % (14005)------------------------------
% 0.15/0.41 % (14005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14005)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % (14005)Memory used [KB]: 5628
% 0.15/0.41 % (14005)Time elapsed: 0.009 s
% 0.15/0.41 % (14005)Instructions burned: 11 (million)
% 0.15/0.41 % (14005)------------------------------
% 0.15/0.41 % (14005)------------------------------
% 0.15/0.42 % (14009)Instruction limit reached!
% 0.15/0.42 % (14009)------------------------------
% 0.15/0.42 % (14009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (14009)Termination reason: Unknown
% 0.15/0.42 % (14009)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (14009)Memory used [KB]: 5628
% 0.15/0.42 % (14009)Time elapsed: 0.012 s
% 0.15/0.42 % (14009)Instructions burned: 18 (million)
% 0.15/0.42 % (14009)------------------------------
% 0.15/0.42 % (14009)------------------------------
% 0.25/0.42 % (14011)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)
% 0.25/0.42 % (14012)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)
% 0.25/0.42 % (14013)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)
% 0.25/0.43 % (14014)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)
% 0.25/0.43 % (14013)Instruction limit reached!
% 0.25/0.43 % (14013)------------------------------
% 0.25/0.43 % (14013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (14013)Termination reason: Unknown
% 0.25/0.43 % (14013)Termination phase: Saturation
% 0.25/0.43
% 0.25/0.43 % (14013)Memory used [KB]: 5500
% 0.25/0.43 % (14013)Time elapsed: 0.004 s
% 0.25/0.43 % (14013)Instructions burned: 4 (million)
% 0.25/0.43 % (14013)------------------------------
% 0.25/0.43 % (14013)------------------------------
% 0.25/0.43 % (14015)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.25/0.43 % (14012)Instruction limit reached!
% 0.25/0.43 % (14012)------------------------------
% 0.25/0.43 % (14012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (14012)Termination reason: Unknown
% 0.25/0.43 % (14012)Termination phase: Saturation
% 0.25/0.43
% 0.25/0.43 % (14012)Memory used [KB]: 5628
% 0.25/0.43 % (14012)Time elapsed: 0.011 s
% 0.25/0.43 % (14012)Instructions burned: 15 (million)
% 0.25/0.43 % (14012)------------------------------
% 0.25/0.43 % (14012)------------------------------
% 0.25/0.43 % (14016)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.25/0.43 % (14015)Instruction limit reached!
% 0.25/0.43 % (14015)------------------------------
% 0.25/0.43 % (14015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.43 % (14015)Termination reason: Unknown
% 0.25/0.43 % (14015)Termination phase: Saturation
% 0.25/0.43
% 0.25/0.43 % (14015)Memory used [KB]: 1023
% 0.25/0.43 % (14015)Time elapsed: 0.006 s
% 0.25/0.43 % (14015)Instructions burned: 7 (million)
% 0.25/0.43 % (14015)------------------------------
% 0.25/0.43 % (14015)------------------------------
% 0.25/0.44 % (14017)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)
% 0.25/0.44 % (14011)Instruction limit reached!
% 0.25/0.44 % (14011)------------------------------
% 0.25/0.44 % (14011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (14011)Termination reason: Unknown
% 0.25/0.44 % (14011)Termination phase: Saturation
% 0.25/0.44
% 0.25/0.44 % (14011)Memory used [KB]: 5884
% 0.25/0.44 % (14011)Time elapsed: 0.021 s
% 0.25/0.44 % (14011)Instructions burned: 37 (million)
% 0.25/0.44 % (14016)Instruction limit reached!
% 0.25/0.44 % (14016)------------------------------
% 0.25/0.44 % (14016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (14016)Termination reason: Unknown
% 0.25/0.44 % (14016)Termination phase: Saturation
% 0.25/0.44
% 0.25/0.44 % (14016)Memory used [KB]: 5756
% 0.25/0.44 % (14016)Time elapsed: 0.012 s
% 0.25/0.44 % (14016)Instructions burned: 16 (million)
% 0.25/0.44 % (14016)------------------------------
% 0.25/0.44 % (14016)------------------------------
% 0.25/0.44 % (14011)------------------------------
% 0.25/0.44 % (14011)------------------------------
% 0.25/0.44 % (14017)Instruction limit reached!
% 0.25/0.44 % (14017)------------------------------
% 0.25/0.44 % (14017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.44 % (14017)Termination reason: Unknown
% 0.25/0.44 % (14017)Termination phase: Twee Goal Transformation
% 0.25/0.44
% 0.25/0.44 % (14017)Memory used [KB]: 1023
% 0.25/0.44 % (14017)Time elapsed: 0.004 s
% 0.25/0.44 % (14017)Instructions burned: 4 (million)
% 0.25/0.44 % (14017)------------------------------
% 0.25/0.44 % (14017)------------------------------
% 0.25/0.45 % (14018)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)
% 0.25/0.45 % (14019)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)
% 0.25/0.45 % (14018)Instruction limit reached!
% 0.25/0.45 % (14018)------------------------------
% 0.25/0.45 % (14018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (14018)Termination reason: Unknown
% 0.25/0.45 % (14018)Termination phase: Property scanning
% 0.25/0.45
% 0.25/0.45 % (14018)Memory used [KB]: 1023
% 0.25/0.45 % (14018)Time elapsed: 0.004 s
% 0.25/0.45 % (14018)Instructions burned: 4 (million)
% 0.25/0.45 % (14018)------------------------------
% 0.25/0.45 % (14018)------------------------------
% 0.25/0.45 % (14019)Instruction limit reached!
% 0.25/0.45 % (14019)------------------------------
% 0.25/0.45 % (14019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.45 % (14019)Termination reason: Unknown
% 0.25/0.45 % (14019)Termination phase: Saturation
% 0.25/0.45
% 0.25/0.45 % (14019)Memory used [KB]: 5500
% 0.25/0.45 % (14019)Time elapsed: 0.006 s
% 0.25/0.45 % (14019)Instructions burned: 8 (million)
% 0.25/0.45 % (14019)------------------------------
% 0.25/0.45 % (14019)------------------------------
% 0.25/0.46 % (14020)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)
% 0.25/0.46 % (14021)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.46 % (14022)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)
% 0.25/0.46 % (14020)Instruction limit reached!
% 0.25/0.46 % (14020)------------------------------
% 0.25/0.46 % (14020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (14020)Termination reason: Unknown
% 0.25/0.46 % (14020)Termination phase: Property scanning
% 0.25/0.46
% 0.25/0.46 % (14021)Instruction limit reached!
% 0.25/0.46 % (14021)------------------------------
% 0.25/0.46 % (14021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.46 % (14020)Memory used [KB]: 1023
% 0.25/0.46 % (14020)Time elapsed: 0.004 s
% 0.25/0.46 % (14020)Instructions burned: 4 (million)
% 0.25/0.46 % (14020)------------------------------
% 0.25/0.46 % (14020)------------------------------
% 0.25/0.46 % (14021)Termination reason: Unknown
% 0.25/0.46 % (14021)Termination phase: Saturation
% 0.25/0.46
% 0.25/0.46 % (14021)Memory used [KB]: 1023
% 0.25/0.46 % (14021)Time elapsed: 0.004 s
% 0.25/0.46 % (14021)Instructions burned: 4 (million)
% 0.25/0.46 % (14021)------------------------------
% 0.25/0.46 % (14021)------------------------------
% 0.25/0.46 % (14023)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.25/0.47 % (14024)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.25/0.47 % (14022)Instruction limit reached!
% 0.25/0.47 % (14022)------------------------------
% 0.25/0.47 % (14022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (14022)Termination reason: Unknown
% 0.25/0.47 % (14022)Termination phase: Saturation
% 0.25/0.47
% 0.25/0.47 % (14022)Memory used [KB]: 5628
% 0.25/0.47 % (14022)Time elapsed: 0.012 s
% 0.25/0.47 % (14022)Instructions burned: 18 (million)
% 0.25/0.47 % (14022)------------------------------
% 0.25/0.47 % (14022)------------------------------
% 0.25/0.47 % (14014)First to succeed.
% 0.25/0.47 % (14024)Instruction limit reached!
% 0.25/0.47 % (14024)------------------------------
% 0.25/0.47 % (14024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.47 % (14024)Termination reason: Unknown
% 0.25/0.47 % (14024)Termination phase: Saturation
% 0.25/0.47
% 0.25/0.47 % (14024)Memory used [KB]: 5500
% 0.25/0.47 % (14024)Time elapsed: 0.006 s
% 0.25/0.47 % (14024)Instructions burned: 7 (million)
% 0.25/0.47 % (14024)------------------------------
% 0.25/0.47 % (14024)------------------------------
% 0.25/0.47 % (14025)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)
% 0.25/0.47 % (14026)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)
% 0.25/0.47 % (14014)Refutation found. Thanks to Tanya!
% 0.25/0.47 % SZS status Theorem for theBenchmark
% 0.25/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.48 % (14014)------------------------------
% 0.25/0.48 % (14014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.25/0.48 % (14014)Termination reason: Refutation
% 0.25/0.48
% 0.25/0.48 % (14014)Memory used [KB]: 6012
% 0.25/0.48 % (14014)Time elapsed: 0.050 s
% 0.25/0.48 % (14014)Instructions burned: 78 (million)
% 0.25/0.48 % (14014)------------------------------
% 0.25/0.48 % (14014)------------------------------
% 0.25/0.48 % (14002)Success in time 0.065 s
% 0.25/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------