TSTP Solution File: SEV129^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV129^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 04:12:04 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 24
% Syntax : Number of formulae : 93 ( 7 unt; 15 typ; 0 def)
% Number of atoms : 951 ( 330 equ; 0 cnn)
% Maximal formula atoms : 26 ( 12 avg)
% Number of connectives : 1975 ( 198 ~; 177 |; 136 &;1255 @)
% ( 2 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 351 ( 351 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 7 con; 0-5 aty)
% ( 103 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 536 ( 202 ^ 255 !; 78 ?; 536 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_12,type,
sP0: ( a > a > $o ) > $o ).
thf(func_def_13,type,
sK1: ( a > a > $o ) > a ).
thf(func_def_14,type,
sK2: ( a > a > $o ) > a ).
thf(func_def_15,type,
sK3: ( a > a > $o ) > a ).
thf(func_def_16,type,
sK4: ( a > a > $o ) > $o ).
thf(func_def_17,type,
sK5: a ).
thf(func_def_18,type,
sK6: a ).
thf(func_def_19,type,
sK7: a > a > $o ).
thf(func_def_20,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_21,type,
sK9: ( a > a > $o ) > a ).
thf(func_def_22,type,
sK10: ( a > a > $o ) > a > a > $o ).
thf(func_def_24,type,
ph12:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
sK13: ( a > a > $o ) > a > a > a > a > $o ).
thf(f482,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f459,f481]) ).
thf(f481,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_contradiction_clause,[],[f480]) ).
thf(f480,plain,
( $false
| ~ spl11_1
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f478,f57]) ).
thf(f57,plain,
( ( ( sP0 @ sK7 )
= $true )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl11_1
<=> ( ( sP0 @ sK7 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f478,plain,
( ( ( sP0 @ sK7 )
!= $true )
| ~ spl11_1
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f475]) ).
thf(f475,plain,
( ( ( sP0 @ sK7 )
!= $true )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_2 ),
inference(superposition,[],[f472,f22]) ).
thf(f22,plain,
! [X0: a > a > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: a > a > $o] :
( ( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X0 @ X3 @ X2 )
= $true )
& ( $true
= ( X0 @ X1 @ X3 ) ) )
=> ( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X0 @ X3 @ X2 )
= $true )
& ( $true
= ( X0 @ X1 @ X3 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
! [X3: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true
!= ( X3 @ X7 @ X8 ) )
& ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
| ( $true
!= ( sP0 @ X3 ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X3: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true
!= ( X3 @ X7 @ X8 ) )
& ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
| ( $true
!= ( sP0 @ X3 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f472,plain,
( ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_1
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f469,f57]) ).
thf(f469,plain,
( ( ( sP0 @ sK7 )
!= $true )
| ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f467]) ).
thf(f467,plain,
( ( ( sP0 @ sK7 )
!= $true )
| ( $true != $true )
| ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_2 ),
inference(superposition,[],[f61,f21]) ).
thf(f21,plain,
! [X0: a > a > $o] :
( ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f61,plain,
( ! [X0: a] :
( ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( ( sK7 @ X0 @ ( sK2 @ sK7 ) )
!= $true ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl11_2
<=> ! [X0: a] :
( ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( ( sK7 @ X0 @ ( sK2 @ sK7 ) )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f459,plain,
spl11_1,
inference(avatar_split_clause,[],[f442,f56]) ).
thf(f442,plain,
( ( sP0 @ sK7 )
= $true ),
inference(subsumption_resolution,[],[f439,f27]) ).
thf(f27,plain,
( $true
!= ( sK7 @ sK5 @ sK6 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( ! [X4: a,X5: a,X6: a] :
( ( $true
!= ( sK7 @ X5 @ X6 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) )
| ( $true
= ( sK7 @ X5 @ X4 ) ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( sK4 @ X10 ) ) ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) )
& ( $true
!= ( sK7 @ sK5 @ sK6 ) )
& ! [X11: a > a > $o] :
( ( ( ( sK4 @ ( sK10 @ X11 ) )
= $true )
& ( ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
= $true )
& ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK5 @ sK6 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f15,f19,f18,f17,f16]) ).
thf(f16,plain,
( ? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ? [X3: a > a > $o] :
( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X5 @ X6 )
!= $true )
| ( $true
!= ( X3 @ X6 @ X4 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( ( X0 @ X10 )
!= $true ) ) )
| ( $true
= ( X3 @ X7 @ X8 ) ) )
& ( ( X3 @ X1 @ X2 )
!= $true ) )
& ! [X11: a > a > $o] :
( ? [X12: a,X13: a] :
( ? [X14: a > a > $o] :
( ( ( X0 @ X14 )
= $true )
& ( $true
= ( X14 @ X13 @ X12 ) ) )
& ( ( X11 @ X13 @ X12 )
!= $true ) )
| ( $true
= ( sP0 @ X11 ) )
| ( ( X11 @ X1 @ X2 )
= $true ) ) )
=> ( ? [X3: a > a > $o] :
( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X5 @ X6 )
!= $true )
| ( $true
!= ( X3 @ X6 @ X4 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( sK4 @ X10 ) ) ) )
| ( $true
= ( X3 @ X7 @ X8 ) ) )
& ( ( X3 @ sK5 @ sK6 )
!= $true ) )
& ! [X11: a > a > $o] :
( ? [X13: a,X12: a] :
( ? [X14: a > a > $o] :
( ( ( sK4 @ X14 )
= $true )
& ( $true
= ( X14 @ X13 @ X12 ) ) )
& ( ( X11 @ X13 @ X12 )
!= $true ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK5 @ sK6 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
( ? [X3: a > a > $o] :
( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X5 @ X6 )
!= $true )
| ( $true
!= ( X3 @ X6 @ X4 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( sK4 @ X10 ) ) ) )
| ( $true
= ( X3 @ X7 @ X8 ) ) )
& ( ( X3 @ sK5 @ sK6 )
!= $true ) )
=> ( ! [X6: a,X5: a,X4: a] :
( ( $true
!= ( sK7 @ X5 @ X6 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) )
| ( $true
= ( sK7 @ X5 @ X4 ) ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( sK4 @ X10 ) ) ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) )
& ( $true
!= ( sK7 @ sK5 @ sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f18,plain,
! [X11: a > a > $o] :
( ? [X13: a,X12: a] :
( ? [X14: a > a > $o] :
( ( ( sK4 @ X14 )
= $true )
& ( $true
= ( X14 @ X13 @ X12 ) ) )
& ( ( X11 @ X13 @ X12 )
!= $true ) )
=> ( ? [X14: a > a > $o] :
( ( ( sK4 @ X14 )
= $true )
& ( $true
= ( X14 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) )
& ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
! [X11: a > a > $o] :
( ? [X14: a > a > $o] :
( ( ( sK4 @ X14 )
= $true )
& ( $true
= ( X14 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) )
=> ( ( ( sK4 @ ( sK10 @ X11 ) )
= $true )
& ( ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ? [X3: a > a > $o] :
( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X5 @ X6 )
!= $true )
| ( $true
!= ( X3 @ X6 @ X4 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ! [X10: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( ( X0 @ X10 )
!= $true ) ) )
| ( $true
= ( X3 @ X7 @ X8 ) ) )
& ( ( X3 @ X1 @ X2 )
!= $true ) )
& ! [X11: a > a > $o] :
( ? [X12: a,X13: a] :
( ? [X14: a > a > $o] :
( ( ( X0 @ X14 )
= $true )
& ( $true
= ( X14 @ X13 @ X12 ) ) )
& ( ( X11 @ X13 @ X12 )
!= $true ) )
| ( $true
= ( sP0 @ X11 ) )
| ( ( X11 @ X1 @ X2 )
= $true ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ? [X10: a > a > $o] :
( ! [X15: a,X16: a,X17: a] :
( ( ( X10 @ X16 @ X17 )
!= $true )
| ( ( X10 @ X17 @ X15 )
!= $true )
| ( $true
= ( X10 @ X16 @ X15 ) ) )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
!= $true )
| ! [X14: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 )
| ( ( X0 @ X14 )
!= $true ) ) )
| ( $true
= ( X10 @ X11 @ X12 ) ) )
& ( ( X10 @ X1 @ X2 )
!= $true ) )
& ! [X3: a > a > $o] :
( ? [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X0 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
& ( ( X3 @ X5 @ X4 )
!= $true ) )
| ( $true
= ( sP0 @ X3 ) )
| ( ( X3 @ X1 @ X2 )
= $true ) ) ),
inference(definition_folding,[],[f8,f9]) ).
thf(f8,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ? [X10: a > a > $o] :
( ! [X15: a,X16: a,X17: a] :
( ( ( X10 @ X16 @ X17 )
!= $true )
| ( ( X10 @ X17 @ X15 )
!= $true )
| ( $true
= ( X10 @ X16 @ X15 ) ) )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
!= $true )
| ! [X14: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 )
| ( ( X0 @ X14 )
!= $true ) ) )
| ( $true
= ( X10 @ X11 @ X12 ) ) )
& ( ( X10 @ X1 @ X2 )
!= $true ) )
& ! [X3: a > a > $o] :
( ? [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X0 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
& ( ( X3 @ X5 @ X4 )
!= $true ) )
| ? [X7: a,X8: a,X9: a] :
( ( $true
!= ( X3 @ X7 @ X8 ) )
& ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
| ( ( X3 @ X1 @ X2 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ? [X10: a > a > $o] :
( ( ( X10 @ X1 @ X2 )
!= $true )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
!= $true )
| ! [X14: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 )
| ( ( X0 @ X14 )
!= $true ) ) )
| ( $true
= ( X10 @ X11 @ X12 ) ) )
& ! [X15: a,X16: a,X17: a] :
( ( $true
= ( X10 @ X16 @ X15 ) )
| ( ( X10 @ X17 @ X15 )
!= $true )
| ( ( X10 @ X16 @ X17 )
!= $true ) ) )
& ! [X3: a > a > $o] :
( ( ( X3 @ X1 @ X2 )
= $true )
| ? [X7: a,X8: a,X9: a] :
( ( $true
!= ( X3 @ X7 @ X8 ) )
& ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
| ? [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X0 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
& ( ( X3 @ X5 @ X4 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ! [X3: a > a > $o] :
( ( ! [X7: a,X8: a,X9: a] :
( ( ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
=> ( $true
= ( X3 @ X7 @ X8 ) ) )
& ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X0 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) ) )
=> ( ( X3 @ X1 @ X2 )
= $true ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
= $true )
& ? [X14: a > a > $o] :
( ( ( X0 @ X14 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X13 ) ) )
=> ( $true
= ( X10 @ X11 @ X12 ) ) )
& ! [X15: a,X16: a,X17: a] :
( ( ( ( X10 @ X17 @ X15 )
= $true )
& ( ( X10 @ X16 @ X17 )
= $true ) )
=> ( $true
= ( X10 @ X16 @ X15 ) ) ) )
=> ( ( X10 @ X1 @ X2 )
= $true ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ! [X3: a > a > $o] :
( ( ! [X7: a,X8: a,X9: a] :
( ( ( ( X3 @ X9 @ X8 )
= $true )
& ( ( X3 @ X7 @ X9 )
= $true ) )
=> ( $true
= ( X3 @ X7 @ X8 ) ) )
& ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X0 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) ) )
=> ( ( X3 @ X1 @ X2 )
= $true ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( ( X13 @ X11 @ X12 )
= $true )
& ? [X14: a > a > $o] :
( ( ( X0 @ X14 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X13 ) ) )
=> ( $true
= ( X10 @ X11 @ X12 ) ) )
& ! [X23: a,X24: a,X25: a] :
( ( ( $true
= ( X10 @ X25 @ X23 ) )
& ( ( X10 @ X24 @ X25 )
= $true ) )
=> ( ( X10 @ X24 @ X23 )
= $true ) ) )
=> ( ( X10 @ X1 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ! [X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( X0 @ X6 )
& ( X6 @ X5 @ X4 ) )
=> ( X3 @ X5 @ X4 ) )
& ! [X7: a,X8: a,X9: a] :
( ( ( X3 @ X7 @ X9 )
& ( X3 @ X9 @ X8 ) )
=> ( X3 @ X7 @ X8 ) ) )
=> ( X3 @ X1 @ X2 ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( X13 @ X11 @ X12 )
& ? [X14: a > a > $o] :
( ( X0 @ X14 )
& ( ( ^ [X15: a,X16: a] :
! [X17: a > a > $o] :
( ( ! [X18: a,X19: a] :
( ( X14 @ X19 @ X18 )
=> ( X17 @ X19 @ X18 ) )
& ! [X20: a,X21: a,X22: a] :
( ( ( X17 @ X20 @ X21 )
& ( X17 @ X22 @ X20 ) )
=> ( X17 @ X22 @ X21 ) ) )
=> ( X17 @ X15 @ X16 ) ) )
= X13 ) ) )
=> ( X10 @ X11 @ X12 ) )
& ! [X23: a,X24: a,X25: a] :
( ( ( X10 @ X25 @ X23 )
& ( X10 @ X24 @ X25 ) )
=> ( X10 @ X24 @ X23 ) ) )
=> ( X10 @ X1 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X0 @ X6 )
& ( X6 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X4: a,X7: a,X5: a] :
( ( ( X3 @ X4 @ X5 )
& ( X3 @ X5 @ X7 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) )
=> ! [X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ? [X8: a > a > $o] :
( ( X0 @ X8 )
& ( ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ! [X13: a,X7: a,X12: a] :
( ( ( X11 @ X13 @ X7 )
& ( X11 @ X12 @ X13 ) )
=> ( X11 @ X12 @ X7 ) ) )
=> ( X11 @ X9 @ X10 ) ) )
= X6 ) ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X7: a,X4: a,X5: a] :
( ( ( X3 @ X5 @ X7 )
& ( X3 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
( ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X0 @ X6 )
& ( X6 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X4: a,X7: a,X5: a] :
( ( ( X3 @ X4 @ X5 )
& ( X3 @ X5 @ X7 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) )
=> ! [X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ? [X8: a > a > $o] :
( ( X0 @ X8 )
& ( ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) )
& ! [X13: a,X7: a,X12: a] :
( ( ( X11 @ X13 @ X7 )
& ( X11 @ X12 @ X13 ) )
=> ( X11 @ X12 @ X7 ) ) )
=> ( X11 @ X9 @ X10 ) ) )
= X6 ) ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X7: a,X4: a,X5: a] :
( ( ( X3 @ X5 @ X7 )
& ( X3 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM253_A_pme) ).
thf(f439,plain,
( ( $true
= ( sK7 @ sK5 @ sK6 ) )
| ( ( sP0 @ sK7 )
= $true ) ),
inference(trivial_inequality_removal,[],[f438]) ).
thf(f438,plain,
( ( ( sP0 @ sK7 )
= $true )
| ( $false = $true )
| ( $true
= ( sK7 @ sK5 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f425]) ).
thf(f425,plain,
( ( $false = $true )
| ( $true
= ( sK7 @ sK5 @ sK6 ) )
| ( $true
= ( sK7 @ sK5 @ sK6 ) )
| ( ( sP0 @ sK7 )
= $true )
| ( ( sP0 @ sK7 )
= $true ) ),
inference(superposition,[],[f140,f288]) ).
thf(f288,plain,
! [X0: a > a > $o] :
( ( ( sK7 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true )
| ( $true
= ( X0 @ sK5 @ sK6 ) ) ),
inference(subsumption_resolution,[],[f259,f26]) ).
thf(f26,plain,
! [X11: a > a > $o] :
( ( ( sK4 @ ( sK10 @ X11 ) )
= $true )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK5 @ sK6 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f259,plain,
! [X0: a > a > $o] :
( ( ( sK4 @ ( sK10 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( sK7 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK5 @ sK6 ) ) ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f245,plain,
! [X0: a > a > $o] :
( ( ( sP0 @ X0 )
= $true )
| ( $false = $true )
| ( $true
= ( X0 @ sK5 @ sK6 ) )
| ( ( sK7 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) )
= $true )
| ( ( sK4 @ ( sK10 @ X0 ) )
!= $true ) ),
inference(superposition,[],[f25,f202]) ).
thf(f202,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $false
= ( X0 @ X2 @ X1 ) )
| ( ( sK7 @ X2 @ X1 )
= $true )
| ( $true
!= ( sK4 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f201,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $false = $true )
| ( $true
!= ( sK4 @ X0 ) )
| ( $false
= ( X0 @ X2 @ X1 ) )
| ( ( sK7 @ X2 @ X1 )
= $true ) ),
inference(duplicate_literal_removal,[],[f192]) ).
thf(f192,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $false = $true )
| ( $true
!= ( sK4 @ X0 ) )
| ( ( sK7 @ X2 @ X1 )
= $true )
| ( $false
= ( X0 @ X2 @ X1 ) )
| ( ( sK7 @ X2 @ X1 )
= $true )
| ( $true
!= ( sK4 @ X0 ) ) ),
inference(superposition,[],[f34,f50]) ).
thf(f50,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( $true
= ( sK13 @ X10 @ X8 @ X7 @ X11 @ X12 ) )
| ( $true
!= ( sK4 @ X10 ) )
| ( $false
= ( X10 @ X11 @ X12 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( ( sK7 @ X7 @ X8 )
= $true )
| ( $true
!= ( sK4 @ X10 ) )
| ( $true
= ( ( X10 @ X11 @ X12 )
=> ( sK13 @ X10 @ X8 @ X7 @ X11 @ X12 ) ) ) ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true )
| ( $true
= ( ^ [Y0: a] :
( ( X10 @ X11 @ Y0 )
=> ( sK13 @ X10 @ X8 @ X7 @ X11 @ Y0 ) )
@ X12 ) ) ),
inference(pi_clausification,[],[f47]) ).
thf(f47,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a] :
( ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X10 @ X11 @ Y0 )
=> ( sK13 @ X10 @ X8 @ X7 @ X11 @ Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a] :
( ( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) )
@ X11 ) )
| ( ( sK7 @ X7 @ X8 )
= $true )
| ( $true
!= ( sK4 @ X10 ) ) ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) ) ) )
| ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f35,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y2 )
& ( sK13 @ X10 @ X8 @ X7 @ Y2 @ Y1 ) )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( sK7 @ X7 @ X8 )
= $true )
| ( $true
!= ( sK4 @ X10 ) ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y2 )
& ( sK13 @ X10 @ X8 @ X7 @ Y2 @ Y1 ) )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X8 @ X7 @ Y0 @ Y1 ) ) ) ) )
=> ( sK13 @ X10 @ X8 @ X7 @ X7 @ X8 ) ) )
| ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(beta_eta_normalization,[],[f32]) ).
thf(f32,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK4 @ X10 ) )
| ( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X10 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X7 @ X8 ) )
@ ( sK13 @ X10 @ X8 @ X7 ) ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(sigma_clausification,[],[f31]) ).
thf(f31,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK4 @ X10 ) )
| ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X10 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X7 @ X8 ) ) )
!= $true )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(beta_eta_normalization,[],[f30]) ).
thf(f30,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK4 @ X10 ) )
| ( $true
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X7
@ X8 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(equality_resolution,[],[f28]) ).
thf(f28,plain,
! [X10: a > a > $o,X8: a,X9: a > a > $o,X7: a] :
( ( $true
!= ( X9 @ X7 @ X8 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f34,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $false
= ( sK13 @ X10 @ X8 @ X7 @ X7 @ X8 ) )
| ( $true
!= ( sK4 @ X10 ) )
| ( ( sK7 @ X7 @ X8 )
= $true ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f25,plain,
! [X11: a > a > $o] :
( ( ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
= $true )
| ( $true
= ( X11 @ sK5 @ sK6 ) )
| ( $true
= ( sP0 @ X11 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f140,plain,
! [X17: a > a > $o] :
( ( $false
= ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) )
| ( ( sP0 @ X17 )
= $true )
| ( $true
= ( X17 @ sK5 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f139]) ).
thf(f139,plain,
! [X17: a > a > $o] :
( ( $true
= ( X17 @ sK5 @ sK6 ) )
| ( ( sP0 @ X17 )
= $true )
| ( ( ~ ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f138]) ).
thf(f138,plain,
! [X17: a > a > $o] :
( ( ( sP0 @ X17 )
= $true )
| ( $false
= ( ~ ( X17 @ sK5 @ sK6 ) ) )
| ( ( ~ ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f137]) ).
thf(f137,plain,
! [X17: a > a > $o] :
( ( ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) ) ) )
= $true )
| ( ( sP0 @ X17 )
= $true )
| ( $false
= ( ~ ( X17 @ sK5 @ sK6 ) ) ) ),
inference(boolean_simplification,[],[f136]) ).
thf(f136,plain,
! [X17: a > a > $o] :
( ( ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) ) ) )
= $true )
| ( $false
= ( ~ ( X17 @ sK5 @ sK6 ) ) )
| ( ( sP0 @ X17 )
= $true ) ),
inference(beta_eta_normalization,[],[f135]) ).
thf(f135,plain,
! [X17: a > a > $o] :
( ( ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) ) ) )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) ) )
| ( $false
= ( ~ ( X17 @ sK5 @ sK6 ) ) ) ),
inference(boolean_simplification,[],[f134]) ).
thf(f134,plain,
! [X17: a > a > $o] :
( ( $false
= ( ~ ( X17 @ sK5 @ sK6 ) ) )
| ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) ) )
| ( ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f123]) ).
thf(f123,plain,
! [X17: a > a > $o] :
( ( ( ^ [Y0: a,Y1: a] :
~ ( X17 @ Y0 @ Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) ) )
= $true )
| ( $false
= ( ^ [Y0: a,Y1: a] :
~ ( X17 @ Y0 @ Y1 )
@ sK5
@ sK6 ) )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) )
= $true ) ),
inference(primitive_instantiation,[],[f80]) ).
thf(f80,plain,
! [X14: a > a > $o] :
( ( $true
= ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
= $true )
| ( $false
= ( X14 @ sK5 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f79]) ).
thf(f79,plain,
! [X14: a > a > $o] :
( ( $true
!= ( ~ ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) ) )
| ( $false
= ( X14 @ sK5 @ sK6 ) )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X14: a > a > $o] :
( ( ( ~ ( X14 @ sK5 @ sK6 ) )
= $true )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
= $true )
| ( $true
!= ( ~ ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
! [X14: a > a > $o] :
( ( $true
= ( ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 )
@ sK5
@ sK6 ) )
| ( $true
!= ( ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
= $true ) ),
inference(primitive_instantiation,[],[f24]) ).
thf(f24,plain,
! [X11: a > a > $o] :
( ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true )
| ( $true
= ( X11 @ sK5 @ sK6 ) )
| ( $true
= ( sP0 @ X11 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f62,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f53,f60,f56]) ).
thf(f53,plain,
! [X0: a] :
( ( ( sP0 @ sK7 )
!= $true )
| ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( ( sK7 @ X0 @ ( sK2 @ sK7 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f52,plain,
! [X0: a] :
( ( ( sK7 @ X0 @ ( sK2 @ sK7 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( ( sP0 @ sK7 )
!= $true ) ),
inference(superposition,[],[f23,f29]) ).
thf(f29,plain,
! [X6: a,X4: a,X5: a] :
( ( $true
= ( sK7 @ X5 @ X4 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) )
| ( $true
!= ( sK7 @ X5 @ X6 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f23,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV129^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:54:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (27366)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)
% 0.20/0.37 % (27368)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)
% 0.20/0.37 % (27370)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (27368)Instruction limit reached!
% 0.20/0.37 % (27368)------------------------------
% 0.20/0.37 % (27368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (27368)Termination reason: Unknown
% 0.20/0.37 % (27368)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (27368)Memory used [KB]: 1023
% 0.20/0.37 % (27368)Time elapsed: 0.003 s
% 0.20/0.37 % (27368)Instructions burned: 2 (million)
% 0.20/0.37 % (27368)------------------------------
% 0.20/0.37 % (27368)------------------------------
% 0.20/0.37 % (27365)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)
% 0.20/0.37 % (27371)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)
% 0.20/0.37 % (27365)Instruction limit reached!
% 0.20/0.37 % (27365)------------------------------
% 0.20/0.37 % (27365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (27365)Termination reason: Unknown
% 0.20/0.37 % (27365)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (27365)Memory used [KB]: 5500
% 0.20/0.37 % (27365)Time elapsed: 0.004 s
% 0.20/0.37 % (27365)Instructions burned: 5 (million)
% 0.20/0.37 % (27365)------------------------------
% 0.20/0.37 % (27365)------------------------------
% 0.20/0.37 % (27371)Instruction limit reached!
% 0.20/0.37 % (27371)------------------------------
% 0.20/0.37 % (27371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (27371)Termination reason: Unknown
% 0.20/0.37 % (27371)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (27371)Memory used [KB]: 1023
% 0.20/0.37 % (27371)Time elapsed: 0.004 s
% 0.20/0.37 % (27371)Instructions burned: 4 (million)
% 0.20/0.37 % (27371)------------------------------
% 0.20/0.37 % (27371)------------------------------
% 0.20/0.37 % (27367)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (27364)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (27367)Instruction limit reached!
% 0.20/0.37 % (27367)------------------------------
% 0.20/0.37 % (27367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (27367)Termination reason: Unknown
% 0.20/0.37 % (27367)Termination phase: Preprocessing 3
% 0.20/0.37
% 0.20/0.37 % (27367)Memory used [KB]: 1023
% 0.20/0.37 % (27367)Time elapsed: 0.003 s
% 0.20/0.37 % (27367)Instructions burned: 2 (million)
% 0.20/0.37 % (27367)------------------------------
% 0.20/0.37 % (27367)------------------------------
% 0.20/0.38 % (27370)Instruction limit reached!
% 0.20/0.38 % (27370)------------------------------
% 0.20/0.38 % (27370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (27370)Termination reason: Unknown
% 0.20/0.38 % (27370)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (27370)Memory used [KB]: 5628
% 0.20/0.38 % (27370)Time elapsed: 0.013 s
% 0.20/0.38 % (27370)Instructions burned: 18 (million)
% 0.20/0.38 % (27370)------------------------------
% 0.20/0.38 % (27370)------------------------------
% 0.20/0.38 % (27369)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)
% 0.20/0.38 % (27372)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)
% 0.20/0.38 % (27366)Instruction limit reached!
% 0.20/0.38 % (27366)------------------------------
% 0.20/0.38 % (27366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (27366)Termination reason: Unknown
% 0.20/0.38 % (27366)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (27366)Memory used [KB]: 5628
% 0.20/0.38 % (27366)Time elapsed: 0.019 s
% 0.20/0.38 % (27366)Instructions burned: 27 (million)
% 0.20/0.38 % (27366)------------------------------
% 0.20/0.38 % (27366)------------------------------
% 0.20/0.39 % (27374)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)
% 0.20/0.39 % (27373)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)
% 0.20/0.39 % (27374)Instruction limit reached!
% 0.20/0.39 % (27374)------------------------------
% 0.20/0.39 % (27374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (27374)Termination reason: Unknown
% 0.20/0.39 % (27374)Termination phase: Preprocessing 3
% 0.20/0.39
% 0.20/0.39 % (27374)Memory used [KB]: 1023
% 0.20/0.39 % (27374)Time elapsed: 0.003 s
% 0.20/0.39 % (27374)Instructions burned: 3 (million)
% 0.20/0.39 % (27374)------------------------------
% 0.20/0.39 % (27374)------------------------------
% 0.20/0.39 % (27375)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)
% 0.20/0.39 % (27376)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (27376)Instruction limit reached!
% 0.20/0.40 % (27376)------------------------------
% 0.20/0.40 % (27376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (27376)Termination reason: Unknown
% 0.20/0.40 % (27376)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (27376)Memory used [KB]: 1023
% 0.20/0.40 % (27376)Time elapsed: 0.006 s
% 0.20/0.40 % (27376)Instructions burned: 7 (million)
% 0.20/0.40 % (27376)------------------------------
% 0.20/0.40 % (27376)------------------------------
% 0.20/0.40 % (27377)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.40 % (27373)Instruction limit reached!
% 0.20/0.40 % (27373)------------------------------
% 0.20/0.40 % (27373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (27373)Termination reason: Unknown
% 0.20/0.40 % (27373)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (27373)Memory used [KB]: 5628
% 0.20/0.40 % (27373)Time elapsed: 0.012 s
% 0.20/0.40 % (27373)Instructions burned: 16 (million)
% 0.20/0.40 % (27373)------------------------------
% 0.20/0.40 % (27373)------------------------------
% 0.20/0.40 % (27372)Instruction limit reached!
% 0.20/0.40 % (27372)------------------------------
% 0.20/0.40 % (27372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (27372)Termination reason: Unknown
% 0.20/0.40 % (27372)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (27372)Memory used [KB]: 5756
% 0.20/0.40 % (27372)Time elapsed: 0.022 s
% 0.20/0.40 % (27372)Instructions burned: 38 (million)
% 0.20/0.40 % (27372)------------------------------
% 0.20/0.40 % (27372)------------------------------
% 0.20/0.40 % (27378)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.40 % (27378)Instruction limit reached!
% 0.20/0.40 % (27378)------------------------------
% 0.20/0.40 % (27378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (27378)Termination reason: Unknown
% 0.20/0.40 % (27378)Termination phase: Preprocessing 3
% 0.20/0.40
% 0.20/0.40 % (27378)Memory used [KB]: 1023
% 0.20/0.40 % (27378)Time elapsed: 0.003 s
% 0.20/0.40 % (27378)Instructions burned: 3 (million)
% 0.20/0.40 % (27378)------------------------------
% 0.20/0.40 % (27378)------------------------------
% 0.20/0.41 % (27377)Instruction limit reached!
% 0.20/0.41 % (27377)------------------------------
% 0.20/0.41 % (27377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (27377)Termination reason: Unknown
% 0.20/0.41 % (27377)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (27377)Memory used [KB]: 5628
% 0.20/0.41 % (27377)Time elapsed: 0.012 s
% 0.20/0.41 % (27377)Instructions burned: 16 (million)
% 0.20/0.41 % (27377)------------------------------
% 0.20/0.41 % (27377)------------------------------
% 0.20/0.41 % (27379)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (27380)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (27379)Instruction limit reached!
% 0.20/0.41 % (27379)------------------------------
% 0.20/0.41 % (27379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (27379)Termination reason: Unknown
% 0.20/0.41 % (27379)Termination phase: Equality resolution with deletion
% 0.20/0.41
% 0.20/0.41 % (27379)Memory used [KB]: 1023
% 0.20/0.41 % (27379)Time elapsed: 0.004 s
% 0.20/0.41 % (27379)Instructions burned: 4 (million)
% 0.20/0.41 % (27379)------------------------------
% 0.20/0.41 % (27379)------------------------------
% 0.20/0.42 % (27380)Instruction limit reached!
% 0.20/0.42 % (27380)------------------------------
% 0.20/0.42 % (27380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (27380)Termination reason: Unknown
% 0.20/0.42 % (27380)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (27380)Memory used [KB]: 5500
% 0.20/0.42 % (27380)Time elapsed: 0.006 s
% 0.20/0.42 % (27380)Instructions burned: 7 (million)
% 0.20/0.42 % (27380)------------------------------
% 0.20/0.42 % (27380)------------------------------
% 0.20/0.42 % (27381)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (27381)Instruction limit reached!
% 0.20/0.42 % (27381)------------------------------
% 0.20/0.42 % (27381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (27381)Termination reason: Unknown
% 0.20/0.42 % (27381)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (27381)Memory used [KB]: 1023
% 0.20/0.42 % (27381)Time elapsed: 0.003 s
% 0.20/0.42 % (27381)Instructions burned: 4 (million)
% 0.20/0.42 % (27381)------------------------------
% 0.20/0.42 % (27381)------------------------------
% 0.20/0.42 % (27383)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.43 % (27384)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (27369)First to succeed.
% 0.20/0.43 % (27382)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (27382)Instruction limit reached!
% 0.20/0.43 % (27382)------------------------------
% 0.20/0.43 % (27382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (27382)Termination reason: Unknown
% 0.20/0.43 % (27382)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (27382)Memory used [KB]: 5500
% 0.20/0.43 % (27382)Time elapsed: 0.004 s
% 0.20/0.43 % (27382)Instructions burned: 5 (million)
% 0.20/0.43 % (27382)------------------------------
% 0.20/0.43 % (27382)------------------------------
% 0.20/0.43 % (27385)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.43 % (27386)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.43 % (27385)Instruction limit reached!
% 0.20/0.43 % (27385)------------------------------
% 0.20/0.43 % (27385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (27385)Termination reason: Unknown
% 0.20/0.43 % (27385)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (27385)Memory used [KB]: 5500
% 0.20/0.43 % (27385)Time elapsed: 0.005 s
% 0.20/0.43 % (27385)Instructions burned: 6 (million)
% 0.20/0.43 % (27385)------------------------------
% 0.20/0.43 % (27385)------------------------------
% 0.20/0.43 % (27383)Instruction limit reached!
% 0.20/0.43 % (27383)------------------------------
% 0.20/0.43 % (27383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (27383)Termination reason: Unknown
% 0.20/0.43 % (27383)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (27383)Memory used [KB]: 5628
% 0.20/0.43 % (27383)Time elapsed: 0.014 s
% 0.20/0.43 % (27383)Instructions burned: 18 (million)
% 0.20/0.43 % (27383)------------------------------
% 0.20/0.43 % (27383)------------------------------
% 0.20/0.43 % (27369)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (27369)------------------------------
% 0.20/0.43 % (27369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (27369)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (27369)Memory used [KB]: 5884
% 0.20/0.43 % (27369)Time elapsed: 0.057 s
% 0.20/0.43 % (27369)Instructions burned: 81 (million)
% 0.20/0.43 % (27369)------------------------------
% 0.20/0.43 % (27369)------------------------------
% 0.20/0.43 % (27363)Success in time 0.083 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------