TSTP Solution File: SEV190^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV190^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 09:41:40 EDT 2024
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 53 unt; 10 typ; 0 def)
% Number of atoms : 532 ( 101 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 1815 ( 22 ~; 0 |; 140 &;1322 @)
% ( 0 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 7 con; 0-3 aty)
% ( 241 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 356 ( 260 ^ 95 !; 0 ?; 356 :)
% ( 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(f225,plain,
$false,
inference(trivial_inequality_removal,[],[f224]) ).
thf(f224,plain,
$false = $true,
inference(superposition,[],[f160,f207]) ).
thf(f207,plain,
( $false
= ( ( ( cJOIN @ sK4 @ sK4 @ sK4 )
& ( cJOIN @ sK3 @ sK3 @ sK3 ) )
=> ( cJOIN @ ( cP @ sK4 @ sK3 ) @ ( cP @ sK4 @ sK3 ) @ ( cP @ sK4 @ sK3 ) ) ) ),
inference(beta_eta_normalization,[],[f205]) ).
thf(f205,plain,
( ( ^ [Y0: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ sK3 @ sK3 @ sK3 ) )
=> ( cJOIN @ ( cP @ Y0 @ sK3 ) @ ( cP @ Y0 @ sK3 ) @ ( cP @ Y0 @ sK3 ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f197]) ).
thf(f197,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ sK3 @ sK3 @ sK3 ) )
=> ( cJOIN @ ( cP @ Y0 @ sK3 ) @ ( cP @ Y0 @ sK3 ) @ ( cP @ Y0 @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[],[f193]) ).
thf(f193,plain,
( $false
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f190]) ).
thf(f190,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f96]) ).
thf(f96,plain,
( ( ~ ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f95]) ).
thf(f95,plain,
( $true
= ( ~ ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f94,f35]) ).
thf(f35,plain,
! [X1: iS] :
( ( cJOIN @ c0 @ X1 @ X1 )
= $true ),
inference(beta_eta_normalization,[],[f34]) ).
thf(f34,plain,
! [X1: iS] :
( ( ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f26]) ).
thf(f26,plain,
( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
= $true ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( !! @ 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
& ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ 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 @ Y7 @ Y3 @ Y4 )
& ( Y2 @ Y6 @ Y8 @ Y5 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) @ ( Y1 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) )
@ c0
@ cP
@ cJOIN ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f10,f9]) ).
thf(f9,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ 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 @ Y7 @ Y3 @ Y4 )
& ( Y2 @ Y6 @ Y8 @ Y5 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) @ ( Y1 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ 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 @ Y7 @ Y3 @ Y4 )
& ( Y2 @ Y6 @ Y8 @ Y5 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y6 ) @ ( Y1 @ Y3 @ Y8 ) @ ( Y1 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
( ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X3: iS] : ( X2 @ X0 @ X3 @ X3 )
& ! [X4: iS,X5: iS,X6: iS,X7: iS,X8: iS,X9: iS] :
( ( ( X2 @ X6 @ X4 @ X7 )
& ( X2 @ X5 @ X9 @ X8 ) )
=> ( X2 @ ( X1 @ X5 @ X6 ) @ ( X1 @ X9 @ X4 ) @ ( X1 @ X8 @ X7 ) ) )
& ! [X10: iS] : ( X2 @ X10 @ X0 @ X10 ) ) )
= cS_JOIN_CLOS ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X4: iS] : ( X2 @ X0 @ X4 @ X4 )
& ! [X7: iS,X3: iS,X6: iS,X8: iS,X5: iS,X4: 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 ) ) )
= cS_JOIN_CLOS ),
file('/export/starexec/sandbox/tmp/tmp.2HgfvQoVvq/Vampire---4.8_22838',cS_JOIN_CLOS_def) ).
thf(f10,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( ( ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( ( cP @ X2 @ X0 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X3 )
& ( X1 = X2 ) ) )
& ! [X4: iS,X5: iS] :
( c0
!= ( cP @ X5 @ X4 ) )
& ! [X6: iS > $o] :
( ( ! [X7: iS,X8: iS] :
( ( ( X6 @ X8 )
& ( X6 @ X7 ) )
=> ( X6 @ ( cP @ X7 @ X8 ) ) )
& ( X6 @ c0 ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS] : ( cJOIN @ X10 @ X10 @ X10 ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ( ( ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X7: iS,X3: iS,X4: iS,X6: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X6 = X7 )
& ( X3 = X4 ) ) )
& ! [X4: iS,X3: iS] :
( ( cP @ X3 @ X4 )
!= c0 )
& ! [X9: iS > $o] :
( ( ! [X3: iS,X4: iS] :
( ( ( X9 @ X4 )
& ( X9 @ X3 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
( ( ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X7: iS,X3: iS,X4: iS,X6: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X6 = X7 )
& ( X3 = X4 ) ) )
& ! [X4: iS,X3: iS] :
( ( cP @ X3 @ X4 )
!= c0 )
& ! [X9: iS > $o] :
( ( ! [X3: iS,X4: iS] :
( ( ( X9 @ X4 )
& ( X9 @ X3 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.2HgfvQoVvq/Vampire---4.8_22838',cTHM580_pme) ).
thf(f94,plain,
( $true
= ( ~ ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f93]) ).
thf(f93,plain,
( ( ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ Y1 @ Y1 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
( ( ( ( ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 )
@ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y1 )
& ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y0 ) )
=> ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[],[f64,f19]) ).
thf(f19,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
( $false
= ( $true
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(backward_demodulation,[],[f13,f17]) ).
thf(f64,plain,
! [X1: iS > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f63]) ).
thf(f63,plain,
! [X1: iS > $o] :
( $true
= ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f37]) ).
thf(f37,plain,
( $true
= ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f32]) ).
thf(f32,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f25,f30]) ).
thf(f30,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f24]) ).
thf(f24,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y3 )
= ( cP @ Y2 @ Y0 ) )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f17,f22]) ).
thf(f160,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( ( cJOIN @ X5 @ X1 @ X2 )
& ( cJOIN @ X4 @ X6 @ X3 ) )
=> ( cJOIN @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ X6 ) @ ( cP @ X2 @ X3 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f156]) ).
thf(f156,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ^ [Y0: iS] :
( ( ( cJOIN @ X5 @ X1 @ X2 )
& ( cJOIN @ X4 @ Y0 @ X3 ) )
=> ( cJOIN @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ Y0 ) @ ( cP @ X2 @ X3 ) ) )
@ X6 )
= $true ),
inference(pi_clausification,[],[f153]) ).
thf(f153,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ X5 @ X1 @ X2 )
& ( cJOIN @ X4 @ Y0 @ X3 ) )
=> ( cJOIN @ ( cP @ X5 @ X4 ) @ ( cP @ X1 @ Y0 ) @ ( cP @ X2 @ X3 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f151]) ).
thf(f151,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ X1 @ X2 )
& ( cJOIN @ X4 @ Y1 @ X3 ) )
=> ( cJOIN @ ( cP @ Y0 @ X4 ) @ ( cP @ X1 @ Y1 ) @ ( cP @ X2 @ X3 ) ) ) )
@ X5 ) ),
inference(pi_clausification,[],[f139]) ).
thf(f139,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ X1 @ X2 )
& ( cJOIN @ X4 @ Y1 @ X3 ) )
=> ( cJOIN @ ( cP @ Y0 @ X4 ) @ ( cP @ X1 @ Y1 ) @ ( cP @ X2 @ X3 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f137]) ).
thf(f137,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ Y1 @ X1 @ X2 )
& ( cJOIN @ Y0 @ Y2 @ X3 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ Y2 ) @ ( cP @ X2 @ X3 ) ) ) ) )
@ X4 )
= $true ),
inference(pi_clausification,[],[f129]) ).
thf(f129,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ Y1 @ X1 @ X2 )
& ( cJOIN @ Y0 @ Y2 @ X3 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ Y2 ) @ ( cP @ X2 @ X3 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f127]) ).
thf(f127,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y2 @ X1 @ X2 )
& ( cJOIN @ Y1 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y3 ) @ ( cP @ X2 @ Y0 ) ) ) ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f122]) ).
thf(f122,plain,
! [X2: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y2 @ X1 @ X2 )
& ( cJOIN @ Y1 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y3 ) @ ( cP @ X2 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f120]) ).
thf(f120,plain,
! [X2: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y3 @ X1 @ Y0 )
& ( cJOIN @ Y2 @ Y4 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y3 @ Y2 ) @ ( cP @ X1 @ Y4 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f112]) ).
thf(f112,plain,
! [X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y3 @ X1 @ Y0 )
& ( cJOIN @ Y2 @ Y4 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y3 @ Y2 ) @ ( cP @ X1 @ Y4 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f110]) ).
thf(f110,plain,
! [X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f109]) ).
thf(f109,plain,
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f108]) ).
thf(f108,plain,
( ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f29,f107]) ).
thf(f107,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( ( !! @ 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f28]) ).
thf(f28,plain,
( ( ( !! @ 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 @ Y4 @ Y0 @ Y1 )
& ( cJOIN @ Y3 @ Y5 @ Y2 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y3 ) @ ( cP @ Y0 @ Y5 ) @ ( cP @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f22,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV190^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.14/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:02:04 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 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.2HgfvQoVvq/Vampire---4.8_22838
% 0.15/0.39 % (23086)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.39 % (23087)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 (2999ds/4Mi)
% 0.15/0.39 % (23088)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 (2999ds/27Mi)
% 0.15/0.39 % (23090)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 (2999ds/2Mi)
% 0.15/0.39 % (23092)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39 % (23089)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39 % (23090)Instruction limit reached!
% 0.15/0.39 % (23090)------------------------------
% 0.15/0.39 % (23090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (23090)Termination reason: Unknown
% 0.15/0.39 % (23090)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (23090)Memory used [KB]: 895
% 0.15/0.39 % (23090)Time elapsed: 0.003 s
% 0.15/0.39 % (23090)Instructions burned: 2 (million)
% 0.15/0.39 % (23090)------------------------------
% 0.15/0.39 % (23090)------------------------------
% 0.15/0.39 % (23089)Instruction limit reached!
% 0.15/0.39 % (23089)------------------------------
% 0.15/0.39 % (23089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (23089)Termination reason: Unknown
% 0.15/0.39 % (23089)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (23089)Memory used [KB]: 1023
% 0.15/0.39 % (23089)Time elapsed: 0.003 s
% 0.15/0.39 % (23089)Instructions burned: 3 (million)
% 0.15/0.39 % (23089)------------------------------
% 0.15/0.39 % (23089)------------------------------
% 0.15/0.39 % (23087)Instruction limit reached!
% 0.15/0.39 % (23087)------------------------------
% 0.15/0.39 % (23087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (23087)Termination reason: Unknown
% 0.15/0.39 % (23087)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (23087)Memory used [KB]: 5500
% 0.15/0.39 % (23087)Time elapsed: 0.005 s
% 0.15/0.39 % (23087)Instructions burned: 4 (million)
% 0.15/0.39 % (23087)------------------------------
% 0.15/0.39 % (23087)------------------------------
% 0.15/0.40 % (23088)Refutation not found, incomplete strategy
% 0.15/0.40 % (23088)------------------------------
% 0.15/0.40 % (23088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23088)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (23088)Memory used [KB]: 5628
% 0.15/0.40 % (23088)Time elapsed: 0.009 s
% 0.15/0.40 % (23088)Instructions burned: 10 (million)
% 0.15/0.40 % (23088)------------------------------
% 0.15/0.40 % (23088)------------------------------
% 0.15/0.40 % (23092)Instruction limit reached!
% 0.15/0.40 % (23092)------------------------------
% 0.15/0.40 % (23092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23092)Termination reason: Unknown
% 0.15/0.40 % (23092)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (23092)Memory used [KB]: 5628
% 0.15/0.40 % (23092)Time elapsed: 0.014 s
% 0.15/0.40 % (23092)Instructions burned: 19 (million)
% 0.15/0.40 % (23092)------------------------------
% 0.15/0.40 % (23092)------------------------------
% 0.15/0.40 % (23093)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 (2999ds/3Mi)
% 0.15/0.40 % (23091)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 (2999ds/275Mi)
% 0.15/0.40 % (23093)Instruction limit reached!
% 0.15/0.40 % (23093)------------------------------
% 0.15/0.40 % (23093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23093)Termination reason: Unknown
% 0.15/0.40 % (23093)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (23093)Memory used [KB]: 1023
% 0.15/0.40 % (23093)Time elapsed: 0.004 s
% 0.15/0.40 % (23093)Instructions burned: 3 (million)
% 0.15/0.40 % (23093)------------------------------
% 0.15/0.40 % (23093)------------------------------
% 0.15/0.40 % (23094)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 Vampire---4 for (2999ds/37Mi)
% 0.15/0.40 % (23095)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 Vampire---4 for (2999ds/15Mi)
% 0.15/0.40 % (23096)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (23096)Instruction limit reached!
% 0.15/0.41 % (23096)------------------------------
% 0.15/0.41 % (23096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (23096)Termination reason: Unknown
% 0.15/0.41 % (23096)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (23096)Memory used [KB]: 1023
% 0.15/0.41 % (23096)Time elapsed: 0.004 s
% 0.15/0.41 % (23096)Instructions burned: 4 (million)
% 0.15/0.41 % (23096)------------------------------
% 0.15/0.41 % (23096)------------------------------
% 0.15/0.41 % (23097)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 Vampire---4 for (2999ds/1041Mi)
% 0.15/0.41 % (23098)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.41 % (23095)Instruction limit reached!
% 0.15/0.41 % (23095)------------------------------
% 0.15/0.41 % (23095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (23095)Termination reason: Unknown
% 0.15/0.41 % (23095)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (23095)Memory used [KB]: 5628
% 0.15/0.41 % (23095)Time elapsed: 0.013 s
% 0.15/0.41 % (23095)Instructions burned: 16 (million)
% 0.15/0.41 % (23095)------------------------------
% 0.15/0.41 % (23095)------------------------------
% 0.15/0.42 % (23099)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.42 % (23098)Instruction limit reached!
% 0.15/0.42 % (23098)------------------------------
% 0.15/0.42 % (23098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (23098)Termination reason: Unknown
% 0.15/0.42 % (23098)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (23098)Memory used [KB]: 1023
% 0.15/0.42 % (23098)Time elapsed: 0.006 s
% 0.15/0.42 % (23098)Instructions burned: 7 (million)
% 0.15/0.42 % (23098)------------------------------
% 0.15/0.42 % (23098)------------------------------
% 0.15/0.42 % (23100)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 Vampire---4 for (2999ds/3Mi)
% 0.15/0.42 % (23100)Instruction limit reached!
% 0.15/0.42 % (23100)------------------------------
% 0.15/0.42 % (23100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (23100)Termination reason: Unknown
% 0.15/0.42 % (23100)Termination phase: Twee Goal Transformation
% 0.15/0.42
% 0.15/0.42 % (23100)Memory used [KB]: 1023
% 0.15/0.42 % (23100)Time elapsed: 0.004 s
% 0.15/0.42 % (23100)Instructions burned: 3 (million)
% 0.15/0.42 % (23100)------------------------------
% 0.15/0.42 % (23100)------------------------------
% 0.15/0.42 % (23094)Instruction limit reached!
% 0.15/0.42 % (23094)------------------------------
% 0.15/0.42 % (23094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (23094)Termination reason: Unknown
% 0.15/0.42 % (23094)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (23094)Memory used [KB]: 5884
% 0.15/0.42 % (23094)Time elapsed: 0.023 s
% 0.15/0.42 % (23094)Instructions burned: 38 (million)
% 0.15/0.42 % (23094)------------------------------
% 0.15/0.42 % (23094)------------------------------
% 0.15/0.43 % (23099)Instruction limit reached!
% 0.15/0.43 % (23099)------------------------------
% 0.15/0.43 % (23099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (23099)Termination reason: Unknown
% 0.15/0.43 % (23099)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (23099)Memory used [KB]: 5756
% 0.15/0.43 % (23099)Time elapsed: 0.014 s
% 0.15/0.43 % (23099)Instructions burned: 17 (million)
% 0.15/0.43 % (23099)------------------------------
% 0.15/0.43 % (23099)------------------------------
% 0.15/0.43 % (23101)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 Vampire---4 for (2999ds/3Mi)
% 0.15/0.43 % (23101)Instruction limit reached!
% 0.15/0.43 % (23101)------------------------------
% 0.15/0.43 % (23101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (23101)Termination reason: Unknown
% 0.15/0.43 % (23101)Termination phase: Property scanning
% 0.15/0.43
% 0.15/0.43 % (23101)Memory used [KB]: 1023
% 0.15/0.43 % (23101)Time elapsed: 0.004 s
% 0.15/0.43 % (23101)Instructions burned: 4 (million)
% 0.15/0.43 % (23101)------------------------------
% 0.15/0.43 % (23101)------------------------------
% 0.15/0.43 % (23102)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.44 % (23102)Instruction limit reached!
% 0.15/0.44 % (23102)------------------------------
% 0.15/0.44 % (23102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (23102)Termination reason: Unknown
% 0.15/0.44 % (23102)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (23102)Memory used [KB]: 5500
% 0.15/0.44 % (23102)Time elapsed: 0.006 s
% 0.15/0.44 % (23102)Instructions burned: 8 (million)
% 0.15/0.44 % (23102)------------------------------
% 0.15/0.44 % (23102)------------------------------
% 0.15/0.44 % (23104)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.44 % (23103)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.44 % (23103)Instruction limit reached!
% 0.23/0.44 % (23103)------------------------------
% 0.23/0.44 % (23103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (23103)Termination reason: Unknown
% 0.23/0.44 % (23103)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (23103)Memory used [KB]: 1023
% 0.23/0.44 % (23103)Time elapsed: 0.004 s
% 0.23/0.44 % (23103)Instructions burned: 3 (million)
% 0.23/0.44 % (23103)------------------------------
% 0.23/0.44 % (23103)------------------------------
% 0.23/0.44 % (23104)Instruction limit reached!
% 0.23/0.44 % (23104)------------------------------
% 0.23/0.44 % (23104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (23104)Termination reason: Unknown
% 0.23/0.44 % (23104)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (23104)Memory used [KB]: 5500
% 0.23/0.44 % (23104)Time elapsed: 0.005 s
% 0.23/0.44 % (23104)Instructions burned: 5 (million)
% 0.23/0.44 % (23104)------------------------------
% 0.23/0.44 % (23104)------------------------------
% 0.23/0.44 % (23105)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.45 % (23106)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.23/0.46 % (23109)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 Vampire---4 for (2999ds/902Mi)
% 0.23/0.46 % (23105)Instruction limit reached!
% 0.23/0.46 % (23105)------------------------------
% 0.23/0.46 % (23105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (23107)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.46 % (23105)Termination reason: Unknown
% 0.23/0.46 % (23105)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (23105)Memory used [KB]: 5628
% 0.23/0.46 % (23105)Time elapsed: 0.013 s
% 0.23/0.46 % (23105)Instructions burned: 18 (million)
% 0.23/0.46 % (23105)------------------------------
% 0.23/0.46 % (23105)------------------------------
% 0.23/0.46 % (23097)First to succeed.
% 0.23/0.46 % (23110)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 Vampire---4 for (2999ds/21Mi)
% 0.23/0.46 % (23107)Instruction limit reached!
% 0.23/0.46 % (23107)------------------------------
% 0.23/0.46 % (23107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (23107)Termination reason: Unknown
% 0.23/0.46 % (23107)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (23107)Memory used [KB]: 5500
% 0.23/0.46 % (23107)Time elapsed: 0.007 s
% 0.23/0.46 % (23107)Instructions burned: 6 (million)
% 0.23/0.46 % (23107)------------------------------
% 0.23/0.46 % (23107)------------------------------
% 0.23/0.46 % (23097)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (23097)------------------------------
% 0.23/0.46 % (23097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (23097)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (23097)Memory used [KB]: 6140
% 0.23/0.46 % (23097)Time elapsed: 0.053 s
% 0.23/0.46 % (23097)Instructions burned: 75 (million)
% 0.23/0.46 % (23097)------------------------------
% 0.23/0.46 % (23097)------------------------------
% 0.23/0.46 % (23085)Success in time 0.079 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------