TSTP Solution File: GEG002^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG002^1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n032.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 05:08:19 EDT 2024
% Result : Theorem 0.12s 0.41s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 44
% Syntax : Number of formulae : 194 ( 92 unt; 30 typ; 0 def)
% Number of atoms : 1084 ( 152 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 2269 ( 161 ~; 68 |; 169 &;1492 @)
% ( 2 <=>; 169 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 30 usr; 23 con; 0-2 aty)
% ( 146 !!; 62 ??; 0 @@+; 0 @@-)
% Number of variables : 437 ( 404 ^ 26 !; 6 ?; 437 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
reg: $tType ).
thf(func_def_0,type,
reg: $tType ).
thf(func_def_1,type,
c: reg > reg > $o ).
thf(func_def_2,type,
dc: reg > reg > $o ).
thf(func_def_3,type,
p: reg > reg > $o ).
thf(func_def_4,type,
eq: reg > reg > $o ).
thf(func_def_5,type,
o: reg > reg > $o ).
thf(func_def_6,type,
po: reg > reg > $o ).
thf(func_def_7,type,
ec: reg > reg > $o ).
thf(func_def_8,type,
pp: reg > reg > $o ).
thf(func_def_9,type,
tpp: reg > reg > $o ).
thf(func_def_10,type,
ntpp: reg > reg > $o ).
thf(func_def_12,type,
catalunya: reg ).
thf(func_def_13,type,
france: reg ).
thf(func_def_14,type,
spain: reg ).
thf(func_def_15,type,
paris: reg ).
thf(func_def_28,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
sK2: reg ).
thf(func_def_30,type,
sK3: reg ).
thf(func_def_31,type,
sK4: reg ).
thf(func_def_32,type,
sK5: reg ).
thf(func_def_33,type,
sK6: reg ).
thf(func_def_34,type,
sK7: reg ).
thf(func_def_35,type,
sK8: reg ).
thf(func_def_36,type,
sK9: reg ).
thf(func_def_37,type,
sK10: reg ).
thf(func_def_38,type,
sK11: reg ).
thf(func_def_39,type,
sK12: reg ).
thf(func_def_40,type,
sK13: reg ).
thf(func_def_41,type,
sK14: reg ).
thf(f1614,plain,
$false,
inference(avatar_sat_refutation,[],[f90,f725,f1613]) ).
thf(f1613,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1612]) ).
thf(f1612,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f1611]) ).
thf(f1611,plain,
( ( $false = $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1610]) ).
thf(f1610,plain,
( ( ~ $true = $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f1590,f1607]) ).
thf(f1607,plain,
( ( ( c @ sK8 @ paris )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1599]) ).
thf(f1599,plain,
( ( $true
= ( $true
=> ( c @ sK8 @ paris ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f1492,f1571]) ).
thf(f1571,plain,
( ( ( c @ sK8 @ sK4 )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f1553]) ).
thf(f1553,plain,
( ( $false
= ( ( c @ sK8 @ sK4 )
=> ( c @ sK8 @ france ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f1550]) ).
thf(f1550,plain,
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) )
@ sK8 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f1305]) ).
thf(f1305,plain,
( ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1303]) ).
thf(f1303,plain,
( ( ( $true
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) ) ) )
= $false )
| ~ spl0_1 ),
inference(superposition,[],[f312,f1293]) ).
thf(f1293,plain,
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1292]) ).
thf(f1292,plain,
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) )
& $true )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f1279,f1290]) ).
thf(f1290,plain,
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) ) )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f1279]) ).
thf(f1279,plain,
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f1274]) ).
thf(f1274,plain,
( ( ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) )
@ sK4 )
= $true )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f1260]) ).
thf(f1260,plain,
( ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[],[f792]) ).
thf(f792,plain,
( ( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f791]) ).
thf(f791,plain,
( ( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& $true ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f298,f790]) ).
thf(f790,plain,
( ( $true
= ( c @ spain @ paris ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f783]) ).
thf(f783,plain,
( ( $false = $true )
| ( $true
= ( c @ spain @ paris ) )
| ~ spl0_1 ),
inference(superposition,[],[f100,f779]) ).
thf(f779,plain,
( ( ( c @ paris @ spain )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f772]) ).
thf(f772,plain,
( ( ( $true
=> ( c @ paris @ spain ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f134,f752]) ).
thf(f752,plain,
( ( ( c @ paris @ catalunya )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f751]) ).
thf(f751,plain,
( ( $false = $true )
| ( ( c @ paris @ catalunya )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f750]) ).
thf(f750,plain,
( ( ( c @ paris @ catalunya )
= $true )
| ( $false = ~ $false )
| ~ spl0_1 ),
inference(superposition,[],[f86,f100]) ).
thf(f86,plain,
( ( $false
= ( ~ ( c @ catalunya @ paris ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f85,plain,
( spl0_1
<=> ( $false
= ( ~ ( c @ catalunya @ paris ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f134,plain,
! [X1: reg] :
( $true
= ( ( c @ X1 @ catalunya )
=> ( c @ X1 @ spain ) ) ),
inference(beta_eta_normalization,[],[f133]) ).
thf(f133,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f132]) ).
thf(f132,plain,
( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ),
inference(boolean_simplification,[],[f131]) ).
thf(f131,plain,
( $true
= ( $true
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) ),
inference(backward_demodulation,[],[f124,f130]) ).
thf(f130,plain,
( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) ) ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f124,plain,
( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) ),
inference(boolean_simplification,[],[f123]) ).
thf(f123,plain,
( $true
= ( $true
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) ),
inference(backward_demodulation,[],[f77,f122]) ).
thf(f122,plain,
( ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) ) ) )
& ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) ) ) )
& ( c @ Y0 @ catalunya ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f77]) ).
thf(f77,plain,
( $true
= ( ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) ) ) )
& ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) ) ) )
& ( c @ Y0 @ catalunya ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
( ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y1 )
& ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y0 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ catalunya
@ spain )
= $true ),
inference(definition_unfolding,[],[f57,f68]) ).
thf(f68,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y1 )
& ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y0 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f60,f66,f66,f67]) ).
thf(f67,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y1
@ Y0 )
& ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f48,f61,f61]) ).
thf(f61,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f45,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f44,plain,
( ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) )
= p ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) )
= p ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',p) ).
thf(f48,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( p @ Y1 @ Y0 )
& ( p @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( p @ Y1 @ Y0 )
& ( p @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f18]) ).
thf(f18,plain,
( pp
= ( ^ [X0: reg,X1: reg] :
( ( p @ X0 @ X1 )
& ~ ( p @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
( pp
= ( ^ [X0: reg,X1: reg] :
( ( p @ X0 @ X1 )
& ~ ( p @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',pp) ).
thf(f66,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 ) ) )
@ Y0
@ Y1 )
& ( c @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f53,f64]) ).
thf(f64,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( !! @ reg
@ ^ [Y5: reg] :
( ( c @ Y5 @ Y3 )
=> ( c @ Y5 @ Y4 ) ) )
@ Y2
@ Y0 )
& ( ^ [Y3: reg,Y4: reg] :
( !! @ reg
@ ^ [Y5: reg] :
( ( c @ Y5 @ Y3 )
=> ( c @ Y5 @ Y4 ) ) )
@ Y2
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f58,f61,f61]) ).
thf(f58,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y0 )
& ( p @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y0 )
& ( p @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f20,plain,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X1 )
& ( p @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X1 )
& ( p @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',o) ).
thf(f53,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( o @ Y0 @ Y1 )
& ( c @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( o @ Y0 @ Y1 )
& ( c @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f22]) ).
thf(f22,plain,
( ec
= ( ^ [X0: reg,X1: reg] :
( ( c @ X0 @ X1 )
& ~ ( o @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
( ec
= ( ^ [X0: reg,X1: reg] :
( ( c @ X0 @ X1 )
& ~ ( o @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',ec) ).
thf(f60,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f28,plain,
( ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) )
= tpp ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
( ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) )
= tpp ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',tpp) ).
thf(f57,plain,
( ( tpp @ catalunya @ spain )
= $true ),
inference(cnf_transformation,[],[f43]) ).
thf(f43,plain,
( ( tpp @ catalunya @ spain )
= $true ),
inference(fool_elimination,[],[f42]) ).
thf(f42,plain,
tpp @ catalunya @ spain,
inference(rectify,[],[f12]) ).
thf(f12,axiom,
tpp @ catalunya @ spain,
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',ax1) ).
thf(f100,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( c @ X1 @ X2 ) )
| ( ( c @ X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
! [X2: reg,X1: reg] :
( $true
= ( ( c @ X1 @ X2 )
=> ( c @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f98]) ).
thf(f98,plain,
! [X2: reg,X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
=> ( c @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f97]) ).
thf(f97,plain,
! [X1: reg] :
( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
=> ( c @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f96]) ).
thf(f96,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y0 @ Y1 )
=> ( c @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f51]) ).
thf(f51,plain,
( ( !! @ reg
@ ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y0 @ Y1 )
=> ( c @ Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( !! @ reg
@ ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y0 @ Y1 )
=> ( c @ Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f24]) ).
thf(f24,plain,
! [X0: reg,X1: reg] :
( ( c @ X1 @ X0 )
=> ( c @ X0 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X1: reg,X0: reg] :
( ( c @ X0 @ X1 )
=> ( c @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',c_symmetric) ).
thf(f298,plain,
( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& ( c @ spain @ paris ) ) ),
inference(boolean_simplification,[],[f297]) ).
thf(f297,plain,
( $false
= ( $true
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& ( c @ spain @ paris ) ) ),
inference(forward_demodulation,[],[f296,f116]) ).
thf(f116,plain,
( ( c @ spain @ france )
= $true ),
inference(boolean_simplification,[],[f115]) ).
thf(f115,plain,
( ( $true
& ( c @ spain @ france ) )
= $true ),
inference(backward_demodulation,[],[f76,f114]) ).
thf(f114,plain,
( ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( $true
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) )
& ( c @ spain @ france ) ) ),
inference(beta_eta_normalization,[],[f72]) ).
thf(f72,plain,
( ( ^ [Y0: reg,Y1: reg] :
( ~ ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 ) ) )
@ Y0
@ Y1 )
& ( c @ Y0 @ Y1 ) )
@ spain
@ france )
= $true ),
inference(definition_unfolding,[],[f56,f66]) ).
thf(f56,plain,
( ( ec @ spain @ france )
= $true ),
inference(cnf_transformation,[],[f39]) ).
thf(f39,plain,
( ( ec @ spain @ france )
= $true ),
inference(fool_elimination,[],[f38]) ).
thf(f38,plain,
ec @ spain @ france,
inference(rectify,[],[f13]) ).
thf(f13,axiom,
ec @ spain @ france,
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',ax2) ).
thf(f296,plain,
( $false
= ( ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& ( c @ spain @ paris ) ) ),
inference(boolean_simplification,[],[f295]) ).
thf(f295,plain,
( ( $true
& ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& ( c @ spain @ paris ) )
= $false ),
inference(superposition,[],[f167,f114]) ).
thf(f167,plain,
! [X1: reg] :
( ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ X1 ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) )
& ( c @ X1 @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ X1 ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& ( c @ X1 @ paris ) )
= $false ),
inference(beta_eta_normalization,[],[f166]) ).
thf(f166,plain,
! [X1: reg] :
( $false
= ( ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) ) ) )
& ( c @ Y0 @ paris ) )
@ X1 ) ),
inference(pi_clausification,[],[f160]) ).
thf(f160,plain,
( $false
= ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) ) ) )
& ( c @ Y0 @ paris ) ) ) ),
inference(not_proxy_clausification,[],[f153]) ).
thf(f153,plain,
( $true
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) ) ) )
& ( c @ Y0 @ paris ) ) ) ) ),
inference(boolean_simplification,[],[f152]) ).
thf(f152,plain,
( $true
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) ) ) )
& ( c @ Y0 @ paris ) ) )
& $true ) ),
inference(backward_demodulation,[],[f74,f150]) ).
thf(f150,plain,
( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) ) ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
( ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) ) ) )
& ( c @ Y0 @ paris ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
( $true
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y1 )
& ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y0 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ paris
@ france ) ),
inference(definition_unfolding,[],[f54,f69]) ).
thf(f69,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y1 )
& ( ^ [Y3: reg,Y4: reg] :
( ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 ) ) )
@ Y3
@ Y4 )
& ( c @ Y3 @ Y4 ) )
@ Y2
@ Y0 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f50,f66,f66,f67]) ).
thf(f50,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f30,plain,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ~ ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,axiom,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ~ ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',ntpp) ).
thf(f54,plain,
( ( ntpp @ paris @ france )
= $true ),
inference(cnf_transformation,[],[f47]) ).
thf(f47,plain,
( ( ntpp @ paris @ france )
= $true ),
inference(fool_elimination,[],[f46]) ).
thf(f46,plain,
ntpp @ paris @ france,
inference(rectify,[],[f14]) ).
thf(f14,axiom,
ntpp @ paris @ france,
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',ax3) ).
thf(f312,plain,
! [X1: reg] :
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ france ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f310]) ).
thf(f310,plain,
! [X1: reg] :
( $false
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f294]) ).
thf(f294,plain,
( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f114]) ).
thf(f1492,plain,
( ! [X1: reg] :
( ( ( c @ X1 @ sK4 )
=> ( c @ X1 @ paris ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f1491]) ).
thf(f1491,plain,
( ! [X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f1290]) ).
thf(f1590,plain,
( ( $true
= ( ~ ( c @ sK8 @ paris ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1581]) ).
thf(f1581,plain,
( ( ( ( c @ sK8 @ paris )
=> $false )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f682,f1578]) ).
thf(f1578,plain,
( ( ( c @ sK8 @ france )
= $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1577]) ).
thf(f1577,plain,
( ( $false
= ( $true
=> ( c @ sK8 @ france ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f1553,f1571]) ).
thf(f682,plain,
! [X1: reg] :
( $true
= ( ( c @ X1 @ paris )
=> ( c @ X1 @ france ) ) ),
inference(beta_eta_normalization,[],[f679]) ).
thf(f679,plain,
! [X1: reg] :
( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) )
@ X1 ) ),
inference(pi_clausification,[],[f195]) ).
thf(f195,plain,
( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f150]) ).
thf(f725,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f724]) ).
thf(f724,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f723]) ).
thf(f723,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f722]) ).
thf(f722,plain,
( ( ~ $true = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f716,f690]) ).
thf(f690,plain,
( ( ( c @ sK8 @ paris )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f684]) ).
thf(f684,plain,
( ( $true
= ( $true
=> ( c @ sK8 @ paris ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f345,f660]) ).
thf(f660,plain,
( ( ( c @ sK8 @ sK4 )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f653]) ).
thf(f653,plain,
( ( $false
= ( ( c @ sK8 @ sK4 )
=> ( c @ sK8 @ france ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f650]) ).
thf(f650,plain,
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) )
@ sK8 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f327]) ).
thf(f327,plain,
( ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f325]) ).
thf(f325,plain,
( ( ( $true
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ france ) ) ) )
= $false )
| ~ spl0_2 ),
inference(superposition,[],[f312,f261]) ).
thf(f261,plain,
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f260]) ).
thf(f260,plain,
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f250,f258]) ).
thf(f258,plain,
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f250]) ).
thf(f250,plain,
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ spain ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f248]) ).
thf(f248,plain,
( ( ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) )
@ sK4 )
= $true )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f233]) ).
thf(f233,plain,
( ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f184]) ).
thf(f184,plain,
( ( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f183]) ).
thf(f183,plain,
( ( $false
= ( $true
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f182,f116]) ).
thf(f182,plain,
( ( $false
= ( ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f181]) ).
thf(f181,plain,
( ( $false
= ( $true
& ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f180,f114]) ).
thf(f180,plain,
( ( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) )
& ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f171]) ).
thf(f171,plain,
( ( $false
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) ) ) )
& ( c @ spain @ france )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) ) ) )
& $true ) )
| ~ spl0_2 ),
inference(superposition,[],[f167,f93]) ).
thf(f93,plain,
( ( $true
= ( c @ spain @ paris ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f89]) ).
thf(f89,plain,
( ( ( ~ ( c @ spain @ paris ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f88,plain,
( spl0_2
<=> ( ( ~ ( c @ spain @ paris ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f345,plain,
( ! [X1: reg] :
( ( ( c @ X1 @ sK4 )
=> ( c @ X1 @ paris ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f344]) ).
thf(f344,plain,
( ! [X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK4 )
=> ( c @ Y0 @ paris ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f258]) ).
thf(f716,plain,
( ( $true
= ( ~ ( c @ sK8 @ paris ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f699]) ).
thf(f699,plain,
( ( ( ( c @ sK8 @ paris )
=> $false )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f682,f667]) ).
thf(f667,plain,
( ( ( c @ sK8 @ france )
= $false )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f666]) ).
thf(f666,plain,
( ( $false
= ( $true
=> ( c @ sK8 @ france ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f653,f660]) ).
thf(f90,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f83,f88,f85]) ).
thf(f83,plain,
( ( ( ~ ( c @ spain @ paris ) )
= $false )
| ( $false
= ( ~ ( c @ catalunya @ paris ) ) ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
( ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) )
= $false ),
inference(not_proxy_clausification,[],[f75]) ).
thf(f75,plain,
( ( ~ ( ~ ( c @ catalunya @ paris )
& ~ ( c @ spain @ paris ) ) )
= $true ),
inference(beta_eta_normalization,[],[f70]) ).
thf(f70,plain,
( $true
= ( ~ ( ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 )
@ catalunya
@ paris )
& ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 )
@ spain
@ paris ) ) ) ),
inference(definition_unfolding,[],[f52,f62,f62]) ).
thf(f62,plain,
( dc
= ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f41,plain,
( dc
= ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f40]) ).
thf(f40,plain,
( dc
= ( ^ [X0: reg,X1: reg] :
~ ( c @ X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( dc
= ( ^ [X0: reg,X1: reg] :
~ ( c @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',dc) ).
thf(f52,plain,
( ( ~ ( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ) )
= $true ),
inference(cnf_transformation,[],[f37]) ).
thf(f37,plain,
( ( ~ ( ( dc @ catalunya @ paris )
& ( dc @ spain @ paris ) ) )
= $true ),
inference(fool_elimination,[],[f36]) ).
thf(f36,plain,
~ ( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
inference(rectify,[],[f16]) ).
thf(f16,negated_conjecture,
~ ( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
inference(negated_conjecture,[],[f15]) ).
thf(f15,conjecture,
( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
file('/export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEG002^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09 % 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
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri May 3 19:49:22 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a TH0_THM_EQU_NAR problem
% 0.08/0.28 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FsUxg1Kgz5/Vampire---4.8_2426
% 0.12/0.29 % (2620)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)
% 0.12/0.29 % (2620)Instruction limit reached!
% 0.12/0.29 % (2620)------------------------------
% 0.12/0.29 % (2620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.29 % (2620)Termination reason: Unknown
% 0.12/0.29 % (2620)Termination phase: Property scanning
% 0.12/0.29
% 0.12/0.29 % (2620)Memory used [KB]: 1023
% 0.12/0.29 % (2620)Time elapsed: 0.003 s
% 0.12/0.29 % (2620)Instructions burned: 4 (million)
% 0.12/0.29 % (2620)------------------------------
% 0.12/0.29 % (2620)------------------------------
% 0.12/0.30 % (2619)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)
% 0.12/0.30 % (2625)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)
% 0.12/0.30 % (2621)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)
% 0.12/0.30 % (2623)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)
% 0.12/0.30 % (2622)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.30 % (2623)Instruction limit reached!
% 0.12/0.30 % (2623)------------------------------
% 0.12/0.30 % (2623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.30 % (2623)Termination reason: Unknown
% 0.12/0.30 % (2623)Termination phase: Property scanning
% 0.12/0.30
% 0.12/0.30 % (2623)Memory used [KB]: 1023
% 0.12/0.30 % (2623)Time elapsed: 0.003 s
% 0.12/0.30 % (2623)Instructions burned: 3 (million)
% 0.12/0.30 % (2623)------------------------------
% 0.12/0.30 % (2623)------------------------------
% 0.12/0.30 % (2627)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)
% 0.12/0.30 % (2622)Instruction limit reached!
% 0.12/0.30 % (2622)------------------------------
% 0.12/0.30 % (2622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.30 % (2622)Termination reason: Unknown
% 0.12/0.30 % (2622)Termination phase: Property scanning
% 0.12/0.30
% 0.12/0.30 % (2622)Memory used [KB]: 1023
% 0.12/0.30 % (2622)Time elapsed: 0.003 s
% 0.12/0.30 % (2622)Instructions burned: 3 (million)
% 0.12/0.30 % (2622)------------------------------
% 0.12/0.30 % (2622)------------------------------
% 0.12/0.30 % (2625)Refutation not found, incomplete strategy
% 0.12/0.30 % (2625)------------------------------
% 0.12/0.30 % (2625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.30 % (2625)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.30
% 0.12/0.30
% 0.12/0.30 % (2625)Memory used [KB]: 5500
% 0.12/0.30 % (2625)Time elapsed: 0.004 s
% 0.12/0.30 % (2625)Instructions burned: 4 (million)
% 0.12/0.30 % (2625)------------------------------
% 0.12/0.30 % (2625)------------------------------
% 0.12/0.30 % (2627)Instruction limit reached!
% 0.12/0.30 % (2627)------------------------------
% 0.12/0.30 % (2627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.30 % (2627)Termination reason: Unknown
% 0.12/0.30 % (2627)Termination phase: Function definition elimination
% 0.12/0.30
% 0.12/0.30 % (2627)Memory used [KB]: 1023
% 0.12/0.30 % (2627)Time elapsed: 0.003 s
% 0.12/0.30 % (2627)Instructions burned: 4 (million)
% 0.12/0.30 % (2627)------------------------------
% 0.12/0.30 % (2627)------------------------------
% 0.12/0.31 % (2626)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.31 % (2630)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)
% 0.12/0.31 % (2621)Instruction limit reached!
% 0.12/0.31 % (2621)------------------------------
% 0.12/0.31 % (2621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.31 % (2621)Termination reason: Unknown
% 0.12/0.31 % (2621)Termination phase: Saturation
% 0.12/0.31
% 0.12/0.31 % (2621)Memory used [KB]: 5628
% 0.12/0.31 % (2621)Time elapsed: 0.017 s
% 0.12/0.31 % (2621)Instructions burned: 27 (million)
% 0.12/0.31 % (2621)------------------------------
% 0.12/0.31 % (2621)------------------------------
% 0.12/0.31 % (2632)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)
% 0.12/0.32 % (2633)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)
% 0.12/0.32 % (2633)Instruction limit reached!
% 0.12/0.32 % (2633)------------------------------
% 0.12/0.32 % (2633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.32 % (2633)Termination reason: Unknown
% 0.12/0.32 % (2633)Termination phase: Property scanning
% 0.12/0.32
% 0.12/0.32 % (2633)Memory used [KB]: 1023
% 0.12/0.32 % (2633)Time elapsed: 0.003 s
% 0.12/0.32 % (2633)Instructions burned: 3 (million)
% 0.12/0.32 % (2633)------------------------------
% 0.12/0.32 % (2633)------------------------------
% 0.12/0.32 % (2634)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)
% 0.12/0.32 % (2635)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)
% 0.12/0.32 % (2626)Instruction limit reached!
% 0.12/0.32 % (2626)------------------------------
% 0.12/0.32 % (2626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.32 % (2626)Termination reason: Unknown
% 0.12/0.32 % (2626)Termination phase: Saturation
% 0.12/0.32
% 0.12/0.32 % (2626)Memory used [KB]: 5628
% 0.12/0.32 % (2626)Time elapsed: 0.011 s
% 0.12/0.32 % (2626)Instructions burned: 19 (million)
% 0.12/0.32 % (2626)------------------------------
% 0.12/0.32 % (2626)------------------------------
% 0.12/0.32 % (2632)Refutation not found, incomplete strategy
% 0.12/0.32 % (2632)------------------------------
% 0.12/0.32 % (2632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.32 % (2632)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.32
% 0.12/0.32
% 0.12/0.32 % (2632)Memory used [KB]: 5628
% 0.12/0.32 % (2632)Time elapsed: 0.006 s
% 0.12/0.32 % (2632)Instructions burned: 9 (million)
% 0.12/0.32 % (2632)------------------------------
% 0.12/0.32 % (2632)------------------------------
% 0.12/0.32 % (2635)Instruction limit reached!
% 0.12/0.32 % (2635)------------------------------
% 0.12/0.32 % (2635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.32 % (2635)Termination reason: Unknown
% 0.12/0.32 % (2635)Termination phase: Saturation
% 0.12/0.32
% 0.12/0.32 % (2635)Memory used [KB]: 1023
% 0.12/0.32 % (2635)Time elapsed: 0.006 s
% 0.12/0.32 % (2635)Instructions burned: 8 (million)
% 0.12/0.32 % (2635)------------------------------
% 0.12/0.32 % (2635)------------------------------
% 0.12/0.33 % (2639)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)
% 0.12/0.33 % (2630)Instruction limit reached!
% 0.12/0.33 % (2630)------------------------------
% 0.12/0.33 % (2630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.33 % (2630)Termination reason: Unknown
% 0.12/0.33 % (2630)Termination phase: Saturation
% 0.12/0.33
% 0.12/0.33 % (2640)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)
% 0.12/0.33 % (2630)Memory used [KB]: 5628
% 0.12/0.33 % (2630)Time elapsed: 0.022 s
% 0.12/0.33 % (2630)Instructions burned: 38 (million)
% 0.12/0.33 % (2630)------------------------------
% 0.12/0.33 % (2630)------------------------------
% 0.12/0.33 % (2640)Instruction limit reached!
% 0.12/0.33 % (2640)------------------------------
% 0.12/0.33 % (2640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.33 % (2640)Termination reason: Unknown
% 0.12/0.33 % (2640)Termination phase: SInE selection
% 0.12/0.33
% 0.12/0.33 % (2640)Memory used [KB]: 1023
% 0.12/0.33 % (2640)Time elapsed: 0.003 s
% 0.12/0.33 % (2640)Instructions burned: 3 (million)
% 0.12/0.33 % (2640)------------------------------
% 0.12/0.33 % (2640)------------------------------
% 0.12/0.33 % (2641)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)
% 0.12/0.33 % (2641)Instruction limit reached!
% 0.12/0.33 % (2641)------------------------------
% 0.12/0.33 % (2641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.33 % (2641)Termination reason: Unknown
% 0.12/0.33 % (2641)Termination phase: Function definition elimination
% 0.12/0.33
% 0.12/0.33 % (2642)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)
% 0.12/0.33 % (2641)Memory used [KB]: 1023
% 0.12/0.33 % (2641)Time elapsed: 0.003 s
% 0.12/0.33 % (2641)Instructions burned: 4 (million)
% 0.12/0.33 % (2641)------------------------------
% 0.12/0.33 % (2641)------------------------------
% 0.12/0.34 % (2643)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)
% 0.12/0.34 % (2639)Instruction limit reached!
% 0.12/0.34 % (2639)------------------------------
% 0.12/0.34 % (2639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.34 % (2643)Instruction limit reached!
% 0.12/0.34 % (2643)------------------------------
% 0.12/0.34 % (2643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.34 % (2643)Termination reason: Unknown
% 0.12/0.34 % (2643)Termination phase: Property scanning
% 0.12/0.34
% 0.12/0.34 % (2643)Memory used [KB]: 1023
% 0.12/0.34 % (2643)Time elapsed: 0.003 s
% 0.12/0.34 % (2643)Instructions burned: 3 (million)
% 0.12/0.34 % (2643)------------------------------
% 0.12/0.34 % (2643)------------------------------
% 0.12/0.34 % (2639)Termination reason: Unknown
% 0.12/0.34 % (2639)Termination phase: Saturation
% 0.12/0.34
% 0.12/0.34 % (2639)Memory used [KB]: 5500
% 0.12/0.34 % (2639)Time elapsed: 0.010 s
% 0.12/0.34 % (2639)Instructions burned: 17 (million)
% 0.12/0.34 % (2639)------------------------------
% 0.12/0.34 % (2639)------------------------------
% 0.12/0.34 % (2642)Instruction limit reached!
% 0.12/0.34 % (2642)------------------------------
% 0.12/0.34 % (2642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.34 % (2642)Termination reason: Unknown
% 0.12/0.34 % (2642)Termination phase: Saturation
% 0.12/0.34
% 0.12/0.34 % (2642)Memory used [KB]: 5500
% 0.12/0.34 % (2642)Time elapsed: 0.005 s
% 0.12/0.34 % (2642)Instructions burned: 8 (million)
% 0.12/0.34 % (2642)------------------------------
% 0.12/0.34 % (2642)------------------------------
% 0.12/0.35 % (2646)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)
% 0.12/0.35 % (2647)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)
% 0.12/0.35 % (2649)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)
% 0.12/0.35 % (2646)Instruction limit reached!
% 0.12/0.35 % (2646)------------------------------
% 0.12/0.35 % (2646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (2646)Termination reason: Unknown
% 0.12/0.35 % (2646)Termination phase: Property scanning
% 0.12/0.35
% 0.12/0.35 % (2646)Memory used [KB]: 1023
% 0.12/0.35 % (2646)Time elapsed: 0.004 s
% 0.12/0.35 % (2646)Instructions burned: 5 (million)
% 0.12/0.35 % (2646)------------------------------
% 0.12/0.35 % (2646)------------------------------
% 0.12/0.35 % (2650)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.12/0.35 % (2649)Refutation not found, incomplete strategy
% 0.12/0.35 % (2649)------------------------------
% 0.12/0.35 % (2649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (2649)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (2649)Memory used [KB]: 5500
% 0.12/0.35 % (2649)Time elapsed: 0.004 s
% 0.12/0.35 % (2649)Instructions burned: 4 (million)
% 0.12/0.35 % (2649)------------------------------
% 0.12/0.35 % (2649)------------------------------
% 0.12/0.35 % (2652)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)
% 0.12/0.35 % (2651)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)
% 0.12/0.35 % (2650)Instruction limit reached!
% 0.12/0.35 % (2650)------------------------------
% 0.12/0.35 % (2650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (2650)Termination reason: Unknown
% 0.12/0.35 % (2650)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (2650)Memory used [KB]: 5500
% 0.12/0.35 % (2650)Time elapsed: 0.004 s
% 0.12/0.35 % (2650)Instructions burned: 6 (million)
% 0.12/0.35 % (2650)------------------------------
% 0.12/0.35 % (2650)------------------------------
% 0.12/0.35 % (2651)Refutation not found, incomplete strategy
% 0.12/0.35 % (2651)------------------------------
% 0.12/0.35 % (2651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (2651)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (2651)Memory used [KB]: 5500
% 0.12/0.35 % (2651)Time elapsed: 0.004 s
% 0.12/0.35 % (2651)Instructions burned: 3 (million)
% 0.12/0.35 % (2651)------------------------------
% 0.12/0.35 % (2651)------------------------------
% 0.12/0.36 % (2647)Instruction limit reached!
% 0.12/0.36 % (2647)------------------------------
% 0.12/0.36 % (2647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (2647)Termination reason: Unknown
% 0.12/0.36 % (2647)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (2647)Memory used [KB]: 5628
% 0.12/0.36 % (2647)Time elapsed: 0.013 s
% 0.12/0.36 % (2647)Instructions burned: 19 (million)
% 0.12/0.36 % (2647)------------------------------
% 0.12/0.36 % (2647)------------------------------
% 0.12/0.36 % (2652)Instruction limit reached!
% 0.12/0.36 % (2652)------------------------------
% 0.12/0.36 % (2652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (2652)Termination reason: Unknown
% 0.12/0.36 % (2652)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (2652)Memory used [KB]: 5628
% 0.12/0.36 % (2652)Time elapsed: 0.013 s
% 0.12/0.36 % (2652)Instructions burned: 21 (million)
% 0.12/0.36 % (2652)------------------------------
% 0.12/0.36 % (2652)------------------------------
% 0.12/0.36 % (2653)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.12/0.36 % (2655)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 Vampire---4 for (2999ds/6Mi)
% 0.12/0.36 % (2656)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.12/0.37 % (2653)Instruction limit reached!
% 0.12/0.37 % (2653)------------------------------
% 0.12/0.37 % (2653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (2653)Termination reason: Unknown
% 0.12/0.37 % (2653)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (2653)Memory used [KB]: 5500
% 0.12/0.37 % (2653)Time elapsed: 0.005 s
% 0.12/0.37 % (2653)Instructions burned: 6 (million)
% 0.12/0.37 % (2653)------------------------------
% 0.12/0.37 % (2653)------------------------------
% 0.12/0.37 % (2655)Instruction limit reached!
% 0.12/0.37 % (2655)------------------------------
% 0.12/0.37 % (2655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (2655)Termination reason: Unknown
% 0.12/0.37 % (2655)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (2655)Memory used [KB]: 5500
% 0.12/0.37 % (2655)Time elapsed: 0.005 s
% 0.12/0.37 % (2655)Instructions burned: 8 (million)
% 0.12/0.37 % (2655)------------------------------
% 0.12/0.37 % (2655)------------------------------
% 0.12/0.37 % (2657)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 Vampire---4 for (2999ds/779Mi)
% 0.12/0.37 % (2658)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.12/0.37 % (2659)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.12/0.38 % (2662)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.38 % (2661)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.12/0.38 % (2662)Instruction limit reached!
% 0.12/0.38 % (2662)------------------------------
% 0.12/0.38 % (2662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (2662)Termination reason: Unknown
% 0.12/0.38 % (2662)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (2662)Memory used [KB]: 1023
% 0.12/0.38 % (2662)Time elapsed: 0.003 s
% 0.12/0.38 % (2662)Instructions burned: 3 (million)
% 0.12/0.38 % (2662)------------------------------
% 0.12/0.38 % (2662)------------------------------
% 0.12/0.38 % (2658)Instruction limit reached!
% 0.12/0.38 % (2658)------------------------------
% 0.12/0.38 % (2658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (2658)Termination reason: Unknown
% 0.12/0.38 % (2658)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (2658)Memory used [KB]: 5628
% 0.12/0.38 % (2658)Time elapsed: 0.012 s
% 0.12/0.38 % (2658)Instructions burned: 19 (million)
% 0.12/0.38 % (2658)------------------------------
% 0.12/0.38 % (2658)------------------------------
% 0.12/0.39 % (2661)Instruction limit reached!
% 0.12/0.39 % (2661)------------------------------
% 0.12/0.39 % (2661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (2661)Termination reason: Unknown
% 0.12/0.39 % (2661)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (2661)Memory used [KB]: 5628
% 0.12/0.39 % (2661)Time elapsed: 0.010 s
% 0.12/0.39 % (2661)Instructions burned: 17 (million)
% 0.12/0.39 % (2661)------------------------------
% 0.12/0.39 % (2661)------------------------------
% 0.12/0.39 % (2663)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.12/0.40 % (2664)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.12/0.40 % (2619)Instruction limit reached!
% 0.12/0.40 % (2619)------------------------------
% 0.12/0.40 % (2619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (2619)Termination reason: Unknown
% 0.12/0.40 % (2619)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (2619)Memory used [KB]: 6268
% 0.12/0.40 % (2619)Time elapsed: 0.103 s
% 0.12/0.40 % (2619)Instructions burned: 183 (million)
% 0.12/0.40 % (2619)------------------------------
% 0.12/0.40 % (2619)------------------------------
% 0.12/0.40 % (2666)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.12/0.40 % (2634)First to succeed.
% 0.12/0.41 % (2663)Instruction limit reached!
% 0.12/0.41 % (2663)------------------------------
% 0.12/0.41 % (2663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (2663)Termination reason: Unknown
% 0.12/0.41 % (2663)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (2663)Memory used [KB]: 5628
% 0.12/0.41 % (2663)Time elapsed: 0.036 s
% 0.12/0.41 % (2663)Instructions burned: 30 (million)
% 0.12/0.41 % (2663)------------------------------
% 0.12/0.41 % (2663)------------------------------
% 0.12/0.41 % (2634)Refutation found. Thanks to Tanya!
% 0.12/0.41 % SZS status Theorem for Vampire---4
% 0.12/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.41 % (2634)------------------------------
% 0.12/0.41 % (2634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (2634)Termination reason: Refutation
% 0.12/0.41
% 0.12/0.41 % (2634)Memory used [KB]: 6268
% 0.12/0.41 % (2634)Time elapsed: 0.095 s
% 0.12/0.41 % (2634)Instructions burned: 169 (million)
% 0.12/0.41 % (2634)------------------------------
% 0.12/0.41 % (2634)------------------------------
% 0.12/0.41 % (2617)Success in time 0.133 s
% 0.12/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------