TSTP Solution File: SEV123^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV123^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:12:03 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of formulae : 95 ( 7 unt; 16 typ; 0 def)
% Number of atoms : 941 ( 265 equ; 0 cnn)
% Maximal formula atoms : 22 ( 11 avg)
% Number of connectives : 1524 ( 115 ~; 174 |; 107 &; 946 @)
% ( 6 <=>; 94 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 364 ( 364 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 11 con; 0-4 aty)
% ( 82 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 375 ( 133 ^ 173 !; 67 ?; 375 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_2,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_12,type,
sK0: a ).
thf(func_def_13,type,
sK1: ( a > a > $o ) > $o ).
thf(func_def_14,type,
sK2: a ).
thf(func_def_15,type,
sK3: ( a > a > $o ) > $o ).
thf(func_def_16,type,
sK4: a > a > $o ).
thf(func_def_17,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_18,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_19,type,
sK7: ( a > a > $o ) > a > a > $o ).
thf(func_def_20,type,
sK8: ( a > a > $o ) > a > a > $o ).
thf(func_def_22,type,
ph10:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK11: ( a > a > $o ) > a ).
thf(func_def_24,type,
sK12: ( a > a > $o ) > a ).
thf(func_def_25,type,
sK13: a > a > a > a > $o ).
thf(f224,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f40,f47,f51,f176,f217,f223]) ).
thf(f223,plain,
( spl9_1
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f222,f55,f26]) ).
thf(f26,plain,
( spl9_1
<=> ( ( sK4 @ sK0 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
thf(f55,plain,
( spl9_5
<=> ( $true
= ( sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
thf(f222,plain,
( ( ( sK4 @ sK0 @ sK2 )
= $true )
| ~ spl9_5 ),
inference(trivial_inequality_removal,[],[f221]) ).
thf(f221,plain,
( ( $true != $true )
| ( ( sK4 @ sK0 @ sK2 )
= $true )
| ~ spl9_5 ),
inference(forward_demodulation,[],[f220,f21]) ).
thf(f21,plain,
( $true
= ( sK1 @ sK4 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ! [X5: a,X6: a] :
( ( ( sK4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( ( sK3 @ X7 )
!= $true )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( $true
= ( sK1 @ sK4 ) )
& ( ( sK4 @ sK0 @ sK2 )
!= $true )
& ! [X8: a > a > $o] :
( ( ( ( sK7 @ X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
= $true )
& ( $true
= ( sK3 @ ( sK8 @ X8 ) ) )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ X8 ) )
& ( ( X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
!= $true ) )
| ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f9,f14,f13,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ? [X4: a > a > $o] :
( ! [X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( $true
!= ( X3 @ X7 ) )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( $true
= ( X1 @ X4 ) )
& ( $true
!= ( X4 @ X0 @ X2 ) ) )
& ! [X8: a > a > $o] :
( ? [X9: a,X10: a] :
( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ X10 @ X9 ) )
& ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
& ( ( X8 @ X10 @ X9 )
!= $true ) )
| ( ( X1 @ X8 )
!= $true )
| ( $true
= ( X8 @ X0 @ X2 ) ) ) )
=> ( ? [X4: a > a > $o] :
( ! [X6: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( ( sK3 @ X7 )
!= $true )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( ( sK1 @ X4 )
= $true )
& ( $true
!= ( X4 @ sK0 @ sK2 ) ) )
& ! [X8: a > a > $o] :
( ? [X10: a,X9: a] :
( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ X10 @ X9 ) )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
& ( ( X8 @ X10 @ X9 )
!= $true ) )
| ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X4: a > a > $o] :
( ! [X6: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( ( sK3 @ X7 )
!= $true )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( ( sK1 @ X4 )
= $true )
& ( $true
!= ( X4 @ sK0 @ sK2 ) ) )
=> ( ! [X6: a,X5: a] :
( ( ( sK4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( ( sK3 @ X7 )
!= $true )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( $true
= ( sK1 @ sK4 ) )
& ( ( sK4 @ sK0 @ sK2 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X8: a > a > $o] :
( ? [X10: a,X9: a] :
( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ X10 @ X9 ) )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
& ( ( X8 @ X10 @ X9 )
!= $true ) )
=> ( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) ) )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
& ( ( X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X8: a > a > $o] :
( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) ) )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
=> ( ( ( sK7 @ X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
= $true )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ X8 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
! [X8: a > a > $o] :
( ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ X8 ) ) )
=> ( ( $true
= ( sK3 @ ( sK8 @ X8 ) ) )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ X8 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ? [X4: a > a > $o] :
( ! [X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
= $true )
| ! [X7: a > a > $o] :
( ( $true
!= ( X3 @ X7 ) )
| ( ( X7 @ X5 @ X6 )
!= $true ) ) )
& ( $true
= ( X1 @ X4 ) )
& ( $true
!= ( X4 @ X0 @ X2 ) ) )
& ! [X8: a > a > $o] :
( ? [X9: a,X10: a] :
( ? [X11: a > a > $o] :
( ( $true
= ( X11 @ X10 @ X9 ) )
& ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) ) )
& ( ( X8 @ X10 @ X9 )
!= $true ) )
| ( ( X1 @ X8 )
!= $true )
| ( $true
= ( X8 @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ? [X9: a > a > $o] :
( ! [X10: a,X11: a] :
( ( ( X9 @ X10 @ X11 )
= $true )
| ! [X12: a > a > $o] :
( ( ( X3 @ X12 )
!= $true )
| ( ( X12 @ X10 @ X11 )
!= $true ) ) )
& ( $true
= ( X1 @ X9 ) )
& ( $true
!= ( X9 @ X0 @ X2 ) ) )
& ! [X4: a > a > $o] :
( ? [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( ( X7 @ X6 @ X5 )
= $true )
& ? [X8: a > a > $o] :
( ( ( X3 @ X8 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X7 ) ) )
& ( $true
!= ( X4 @ X6 @ X5 ) ) )
| ( $true
!= ( X1 @ X4 ) )
| ( $true
= ( X4 @ X0 @ X2 ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ? [X9: a > a > $o] :
( ( $true
!= ( X9 @ X0 @ X2 ) )
& ! [X10: a,X11: a] :
( ( ( X9 @ X10 @ X11 )
= $true )
| ! [X12: a > a > $o] :
( ( ( X3 @ X12 )
!= $true )
| ( ( X12 @ X10 @ X11 )
!= $true ) ) )
& ( $true
= ( X1 @ X9 ) ) )
& ! [X4: a > a > $o] :
( ( $true
= ( X4 @ X0 @ X2 ) )
| ? [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( ( X7 @ X6 @ X5 )
= $true )
& ? [X8: a > a > $o] :
( ( ( X3 @ X8 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X7 ) ) )
& ( $true
!= ( X4 @ X6 @ X5 ) ) )
| ( $true
!= ( X1 @ X4 ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( ( X7 @ X6 @ X5 )
= $true )
& ? [X8: a > a > $o] :
( ( ( X3 @ X8 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X7 ) ) )
=> ( $true
= ( X4 @ X6 @ X5 ) ) )
& ( $true
= ( X1 @ X4 ) ) )
=> ( $true
= ( X4 @ X0 @ X2 ) ) )
=> ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( X12 @ X10 @ X11 )
= $true ) )
=> ( ( X9 @ X10 @ X11 )
= $true ) )
& ( $true
= ( X1 @ X9 ) ) )
=> ( $true
= ( X9 @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( ( X7 @ X6 @ X5 )
= $true )
& ? [X8: a > a > $o] :
( ( ( X3 @ X8 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( X1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X7 ) ) )
=> ( $true
= ( X4 @ X6 @ X5 ) ) )
& ( $true
= ( X1 @ X4 ) ) )
=> ( $true
= ( X4 @ X0 @ X2 ) ) )
=> ! [X14: a > a > $o] :
( ( ( $true
= ( X1 @ X14 ) )
& ! [X15: a,X16: a] :
( ? [X17: a > a > $o] :
( ( ( X3 @ X17 )
= $true )
& ( $true
= ( X17 @ X15 @ X16 ) ) )
=> ( $true
= ( X14 @ X15 @ X16 ) ) ) )
=> ( $true
= ( X14 @ X0 @ X2 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: ( a > a > $o ) > $o,X2: a,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ( X1 @ X4 )
& ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X7
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X12: a,X13: a] :
( ( X8 @ X13 @ X12 )
=> ( X11 @ X13 @ X12 ) )
& ( X1 @ X11 ) )
=> ( X11 @ X9 @ X10 ) ) ) )
& ( X3 @ X8 ) )
& ( X7 @ X6 @ X5 ) )
=> ( X4 @ X6 @ X5 ) ) )
=> ( X4 @ X0 @ X2 ) )
=> ! [X14: a > a > $o] :
( ( ( X1 @ X14 )
& ! [X15: a,X16: a] :
( ? [X17: a > a > $o] :
( ( X3 @ X17 )
& ( X17 @ X15 @ X16 ) )
=> ( X14 @ X15 @ X16 ) ) )
=> ( X14 @ X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X0: ( a > a > $o ) > $o,X3: a,X1: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X6: a,X5: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X7
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ( X0 @ X11 ) )
=> ( X11 @ X9 @ X10 ) ) ) )
& ( X1 @ X8 ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X1 @ X7 )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a,X0: ( a > a > $o ) > $o,X3: a,X1: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X6: a,X5: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( X7
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ( X0 @ X11 ) )
=> ( X11 @ X9 @ X10 ) ) ) )
& ( X1 @ X8 ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X1 @ X7 )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM254_B_pme) ).
thf(f220,plain,
( ( $true
!= ( sK1 @ sK4 ) )
| ( ( sK4 @ sK0 @ sK2 )
= $true )
| ~ spl9_5 ),
inference(trivial_inequality_removal,[],[f218]) ).
thf(f218,plain,
( ( $true != $true )
| ( $true
!= ( sK1 @ sK4 ) )
| ( ( sK4 @ sK0 @ sK2 )
= $true )
| ~ spl9_5 ),
inference(superposition,[],[f16,f57]) ).
thf(f57,plain,
( ( $true
= ( sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f16,plain,
! [X8: a > a > $o] :
( ( ( X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
!= $true )
| ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f217,plain,
( spl9_5
| ~ spl9_3
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f214,f171,f37,f55]) ).
thf(f37,plain,
( spl9_3
<=> ( $true
= ( sK7 @ sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
thf(f171,plain,
( spl9_16
<=> ! [X0: a,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
thf(f214,plain,
( ( $true
= ( sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ~ spl9_3
| ~ spl9_16 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f210,plain,
( ( $true
= ( sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ( $false = $true )
| ~ spl9_3
| ~ spl9_16 ),
inference(superposition,[],[f39,f172]) ).
thf(f172,plain,
( ! [X0: a,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) ) )
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f39,plain,
( ( $true
= ( sK7 @ sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f176,plain,
( spl9_16
| spl9_16
| ~ spl9_2
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f175,f44,f30,f171,f171]) ).
thf(f30,plain,
( spl9_2
<=> ( ( sK3 @ ( sK8 @ sK4 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
thf(f44,plain,
( spl9_4
<=> ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ sK4 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
thf(f175,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X2 @ X3 ) )
| ( $false
= ( sK7 @ sK4 @ X2 @ X3 ) ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f174,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
= ( sK4 @ X2 @ X3 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) )
| ( $false
= ( sK7 @ sK4 @ X2 @ X3 ) )
| ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $false = $true ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(forward_demodulation,[],[f153,f21]) ).
thf(f153,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
= ( sK4 @ X2 @ X3 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) )
| ( $false
= ( sK1 @ sK4 ) )
| ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $false
= ( sK7 @ sK4 @ X2 @ X3 ) ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f152,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
= ( sK4 @ X2 @ X3 ) )
| ( $false
= ( sK7 @ sK4 @ X2 @ X3 ) )
| ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) )
| ( $false = $true )
| ( $false
= ( sK1 @ sK4 ) ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(duplicate_literal_removal,[],[f149]) ).
thf(f149,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $false
= ( sK1 @ sK4 ) )
| ( $true
= ( sK4 @ X2 @ X3 ) )
| ( $false = $true )
| ( $false
= ( sK7 @ sK4 @ X0 @ X1 ) )
| ( $true
= ( sK4 @ X0 @ X1 ) )
| ( $false
= ( sK1 @ sK4 ) )
| ( $false
= ( sK7 @ sK4 @ X2 @ X3 ) ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(superposition,[],[f77,f134]) ).
thf(f134,plain,
( ! [X2: a,X0: a > a > $o,X1: a] :
( ( $true
= ( sK4 @ ( sK11 @ X0 ) @ ( sK12 @ X0 ) ) )
| ( ( X0 @ X1 @ X2 )
= $true )
| ( $false
= ( sK1 @ X0 ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f133,plain,
( ! [X2: a,X0: a > a > $o,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( ( X0 @ X1 @ X2 )
= $true )
| ( $true
= ( sK4 @ ( sK11 @ X0 ) @ ( sK12 @ X0 ) ) )
| ( $false
= ( sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl9_2
| ~ spl9_4 ),
inference(forward_demodulation,[],[f122,f32]) ).
thf(f32,plain,
( ( ( sK3 @ ( sK8 @ sK4 ) )
= $true )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f122,plain,
( ! [X2: a,X0: a > a > $o,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( ( X0 @ X1 @ X2 )
= $true )
| ( $false
= ( sK1 @ X0 ) )
| ( ( sK3 @ ( sK8 @ sK4 ) )
!= $true )
| ( $true
= ( sK4 @ ( sK11 @ X0 ) @ ( sK12 @ X0 ) ) ) )
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f117]) ).
thf(f117,plain,
( ! [X2: a,X0: a > a > $o,X1: a] :
( ( $false
= ( sK1 @ X0 ) )
| ( $true
= ( sK4 @ ( sK11 @ X0 ) @ ( sK12 @ X0 ) ) )
| ( ( X0 @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( ( sK3 @ ( sK8 @ sK4 ) )
!= $true )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(superposition,[],[f22,f78]) ).
thf(f78,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $true
= ( sK8 @ sK4 @ ( sK11 @ X3 ) @ ( sK12 @ X3 ) ) )
| ( ( sK1 @ X3 )
= $false )
| ( $true
= ( X3 @ X1 @ X2 ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $true
= ( X3 @ X1 @ X2 ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( ( sK1 @ X3 )
= $false )
| ( $false
= ( ( sK8 @ sK4 @ ( sK11 @ X3 ) @ ( sK12 @ X3 ) )
=> ( X3 @ ( sK11 @ X3 ) @ ( sK12 @ X3 ) ) ) ) )
| ~ spl9_4 ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( ^ [Y0: a] :
( ( sK8 @ sK4 @ ( sK11 @ X3 ) @ Y0 )
=> ( X3 @ ( sK11 @ X3 ) @ Y0 ) )
@ ( sK12 @ X3 ) ) )
| ( ( sK1 @ X3 )
= $false )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( $true
= ( X3 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(sigma_clausification,[],[f74]) ).
thf(f74,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( $true
= ( X3 @ X1 @ X2 ) )
| ( ( sK1 @ X3 )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ sK4 @ ( sK11 @ X3 ) @ Y0 )
=> ( X3 @ ( sK11 @ X3 ) @ Y0 ) ) ) ) )
| ~ spl9_4 ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( ( sK1 @ X3 )
= $false )
| ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ sK4 @ Y0 @ Y1 )
=> ( X3 @ Y0 @ Y1 ) ) )
@ ( sK11 @ X3 ) ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( $true
= ( X3 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(sigma_clausification,[],[f72]) ).
thf(f72,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( ( sK1 @ X3 )
= $false )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( $true
= ( X3 @ X1 @ X2 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ sK4 @ Y0 @ Y1 )
=> ( X3 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl9_4 ),
inference(binary_proxy_clausification,[],[f71]) ).
thf(f71,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( ( sK1 @ X3 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ sK4 @ Y0 @ Y1 )
=> ( X3 @ Y0 @ Y1 ) ) ) ) ) )
| ( $true
= ( X3 @ X1 @ X2 ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( $true
= ( ( ( sK1 @ X3 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ sK4 @ Y0 @ Y1 )
=> ( X3 @ Y0 @ Y1 ) ) ) ) )
=> ( X3 @ X1 @ X2 ) ) ) )
| ~ spl9_4 ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) )
| ( ( ^ [Y0: a > a > $o] :
( ( ( sK1 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK8 @ sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 @ X2 ) )
@ X3 )
= $true ) )
| ~ spl9_4 ),
inference(pi_clausification,[],[f68]) ).
thf(f68,plain,
( ! [X2: a,X1: a] :
( ( $true
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( sK1 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK8 @ sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 @ X2 ) ) ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f66,plain,
( ! [X2: a,X1: a] :
( ( sK7 @ sK4 @ X1 @ X2 )
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( sK1 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK8 @ sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 @ X2 ) ) ) )
| ~ spl9_4 ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
( ! [X2: a,X1: a] :
( ( sK7 @ sK4 @ X1 @ X2 )
= ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( sK1 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK8 @ sK4 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 @ Y0 ) ) )
@ X2 ) )
| ~ spl9_4 ),
inference(argument_congruence,[],[f64]) ).
thf(f64,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( sK1 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK8 @ sK4 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 @ Y0 ) ) ) )
= ( sK7 @ sK4 @ X1 ) )
| ~ spl9_4 ),
inference(beta_eta_normalization,[],[f63]) ).
thf(f63,plain,
( ! [X1: a] :
( ( sK7 @ sK4 @ X1 )
= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ sK4 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X1 ) )
| ~ spl9_4 ),
inference(argument_congruence,[],[f46]) ).
thf(f46,plain,
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ sK4 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ sK4 ) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f22,plain,
! [X6: a,X7: a > a > $o,X5: a] :
( ( ( X7 @ X5 @ X6 )
!= $true )
| ( ( sK4 @ X5 @ X6 )
= $true )
| ( ( sK3 @ X7 )
!= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f77,plain,
( ! [X2: a,X3: a > a > $o,X1: a] :
( ( $false
= ( X3 @ ( sK11 @ X3 ) @ ( sK12 @ X3 ) ) )
| ( ( sK1 @ X3 )
= $false )
| ( $true
= ( X3 @ X1 @ X2 ) )
| ( $false
= ( sK7 @ sK4 @ X1 @ X2 ) ) )
| ~ spl9_4 ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f51,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f50]) ).
thf(f50,plain,
( $false
| ~ spl9_1 ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
( ( $true != $true )
| ~ spl9_1 ),
inference(superposition,[],[f20,f28]) ).
thf(f28,plain,
( ( ( sK4 @ sK0 @ sK2 )
= $true )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f20,plain,
( ( sK4 @ sK0 @ sK2 )
!= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f47,plain,
( spl9_4
| spl9_1 ),
inference(avatar_split_clause,[],[f42,f26,f44]) ).
thf(f42,plain,
( ( ( sK4 @ sK0 @ sK2 )
= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ sK4 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ sK4 ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f41,plain,
( ( $true != $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ sK4 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ sK4 ) )
| ( ( sK4 @ sK0 @ sK2 )
= $true ) ),
inference(superposition,[],[f17,f21]) ).
thf(f17,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( sK1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK8 @ X8 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( sK7 @ X8 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f40,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f35,f37,f26]) ).
thf(f35,plain,
( ( $true
= ( sK7 @ sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ( ( sK4 @ sK0 @ sK2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ( ( sK4 @ sK0 @ sK2 )
= $true )
| ( $true
= ( sK7 @ sK4 @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f19,f21]) ).
thf(f19,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) )
| ( ( sK7 @ X8 @ ( sK6 @ X8 ) @ ( sK5 @ X8 ) )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f33,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
thf(f24,plain,
( ( ( sK4 @ sK0 @ sK2 )
= $true )
| ( ( sK3 @ ( sK8 @ sK4 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f23]) ).
thf(f23,plain,
( ( ( sK3 @ ( sK8 @ sK4 ) )
= $true )
| ( ( sK4 @ sK0 @ sK2 )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f18,f21]) ).
thf(f18,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK1 @ X8 ) )
| ( $true
= ( X8 @ sK0 @ sK2 ) )
| ( $true
= ( sK3 @ ( sK8 @ X8 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV123^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 19:11:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % (4358)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.38 % (4355)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (4358)Instruction limit reached!
% 0.13/0.38 % (4358)------------------------------
% 0.13/0.38 % (4358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (4358)Termination reason: Unknown
% 0.13/0.38 % (4358)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (4358)Memory used [KB]: 5500
% 0.13/0.38 % (4358)Time elapsed: 0.004 s
% 0.13/0.38 % (4358)Instructions burned: 4 (million)
% 0.13/0.38 % (4358)------------------------------
% 0.13/0.38 % (4358)------------------------------
% 0.13/0.38 % (4355)Instruction limit reached!
% 0.13/0.38 % (4355)------------------------------
% 0.13/0.38 % (4355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (4355)Termination reason: Unknown
% 0.13/0.38 % (4355)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (4355)Memory used [KB]: 1023
% 0.13/0.38 % (4355)Time elapsed: 0.003 s
% 0.13/0.38 % (4355)Instructions burned: 3 (million)
% 0.13/0.38 % (4355)------------------------------
% 0.13/0.38 % (4355)------------------------------
% 0.13/0.38 % (4351)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (4352)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.38 % (4352)Instruction limit reached!
% 0.13/0.38 % (4352)------------------------------
% 0.13/0.38 % (4352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (4352)Termination reason: Unknown
% 0.13/0.38 % (4352)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (4352)Memory used [KB]: 5500
% 0.13/0.38 % (4352)Time elapsed: 0.004 s
% 0.13/0.38 % (4352)Instructions burned: 5 (million)
% 0.13/0.38 % (4352)------------------------------
% 0.13/0.38 % (4352)------------------------------
% 0.13/0.39 % (4356)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.39 % (4357)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (4353)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.39 % (4354)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (4354)Instruction limit reached!
% 0.13/0.39 % (4354)------------------------------
% 0.13/0.39 % (4354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (4354)Termination reason: Unknown
% 0.13/0.39 % (4354)Termination phase: Preprocessing 3
% 0.13/0.39
% 0.13/0.39 % (4354)Memory used [KB]: 1023
% 0.13/0.39 % (4354)Time elapsed: 0.003 s
% 0.13/0.39 % (4354)Instructions burned: 2 (million)
% 0.13/0.39 % (4354)------------------------------
% 0.13/0.39 % (4354)------------------------------
% 0.13/0.39 % (4359)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.39 % (4360)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.40 % (4357)Instruction limit reached!
% 0.13/0.40 % (4357)------------------------------
% 0.13/0.40 % (4357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (4357)Termination reason: Unknown
% 0.13/0.40 % (4357)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (4357)Memory used [KB]: 5628
% 0.13/0.40 % (4357)Time elapsed: 0.012 s
% 0.13/0.40 % (4357)Instructions burned: 19 (million)
% 0.13/0.40 % (4357)------------------------------
% 0.13/0.40 % (4357)------------------------------
% 0.20/0.40 % (4360)Instruction limit reached!
% 0.20/0.40 % (4360)------------------------------
% 0.20/0.40 % (4360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (4360)Termination reason: Unknown
% 0.20/0.40 % (4360)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (4360)Memory used [KB]: 5756
% 0.20/0.40 % (4360)Time elapsed: 0.010 s
% 0.20/0.40 % (4360)Instructions burned: 15 (million)
% 0.20/0.40 % (4360)------------------------------
% 0.20/0.40 % (4360)------------------------------
% 0.20/0.40 % (4362)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.40 % (4361)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (4361)Instruction limit reached!
% 0.20/0.41 % (4361)------------------------------
% 0.20/0.41 % (4361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4361)Termination reason: Unknown
% 0.20/0.41 % (4361)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (4361)Memory used [KB]: 5500
% 0.20/0.41 % (4361)Time elapsed: 0.004 s
% 0.20/0.41 % (4361)Instructions burned: 3 (million)
% 0.20/0.41 % (4361)------------------------------
% 0.20/0.41 % (4361)------------------------------
% 0.20/0.41 % (4353)First to succeed.
% 0.20/0.41 % (4359)Instruction limit reached!
% 0.20/0.41 % (4359)------------------------------
% 0.20/0.41 % (4359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4359)Termination reason: Unknown
% 0.20/0.41 % (4359)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (4359)Memory used [KB]: 6012
% 0.20/0.41 % (4359)Time elapsed: 0.019 s
% 0.20/0.41 % (4359)Instructions burned: 39 (million)
% 0.20/0.41 % (4359)------------------------------
% 0.20/0.41 % (4359)------------------------------
% 0.20/0.41 % (4363)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (4353)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (4353)------------------------------
% 0.20/0.41 % (4353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (4353)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (4353)Memory used [KB]: 5756
% 0.20/0.41 % (4353)Time elapsed: 0.026 s
% 0.20/0.41 % (4353)Instructions burned: 26 (million)
% 0.20/0.41 % (4353)------------------------------
% 0.20/0.41 % (4353)------------------------------
% 0.20/0.41 % (4350)Success in time 0.047 s
% 0.20/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------