TSTP Solution File: SEU904^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU904^5 : 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 : n006.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 03:52:07 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 46
% Syntax : Number of formulae : 146 ( 1 unt; 24 typ; 0 def)
% Number of atoms : 1254 ( 442 equ; 0 cnn)
% Maximal formula atoms : 58 ( 10 avg)
% Number of connectives : 2339 ( 270 ~; 276 |; 191 &;1531 @)
% ( 14 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 241 ( 241 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 19 con; 0-5 aty)
% Number of variables : 366 ( 0 ^ 280 !; 85 ?; 366 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_6,type,
sP0: ( a > $o ) > ( a > a > a ) > $o ).
thf(func_def_7,type,
sP1: ( g > $o ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > $o ).
thf(func_def_8,type,
sK2: ( g > $o ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > g ).
thf(func_def_9,type,
sK3: ( g > $o ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > g ).
thf(func_def_10,type,
sK4: ( a > $o ) > ( a > a > a ) > a ).
thf(func_def_11,type,
sK5: ( a > $o ) > ( a > a > a ) > a ).
thf(func_def_12,type,
sK6: b > a ).
thf(func_def_13,type,
sK7: g > b ).
thf(func_def_14,type,
sK8: b > b > b ).
thf(func_def_15,type,
sK9: b > $o ).
thf(func_def_16,type,
sK10: a > $o ).
thf(func_def_17,type,
sK11: g > g > g ).
thf(func_def_18,type,
sK12: g > $o ).
thf(func_def_19,type,
sK13: a > a > a ).
thf(func_def_20,type,
sK14: g ).
thf(func_def_21,type,
sK15: g ).
thf(func_def_22,type,
sK16: g ).
thf(func_def_24,type,
ph18:
!>[X0: $tType] : X0 ).
thf(f170,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f69,f74,f75,f76,f77,f89,f93,f100,f125,f131,f137,f148,f152,f157,f165,f169]) ).
thf(f169,plain,
( ~ spl17_4
| spl17_9 ),
inference(avatar_contradiction_clause,[],[f168]) ).
thf(f168,plain,
( $false
| ~ spl17_4
| spl17_9 ),
inference(subsumption_resolution,[],[f167,f59]) ).
thf(f59,plain,
( ( $true
= ( sP0 @ sK10 @ sK13 ) )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f57,plain,
( spl17_4
<=> ( $true
= ( sP0 @ sK10 @ sK13 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
thf(f167,plain,
( ( $true
!= ( sP0 @ sK10 @ sK13 ) )
| spl17_9 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f166,plain,
( ( $true != $true )
| ( $true
!= ( sP0 @ sK10 @ sK13 ) )
| spl17_9 ),
inference(superposition,[],[f88,f27]) ).
thf(f27,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( X1 @ ( sK4 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP0 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( ( X1 @ ( X0 @ ( sK5 @ X1 @ X0 ) @ ( sK4 @ X1 @ X0 ) ) )
!= $true )
& ( ( X1 @ ( sK5 @ X1 @ X0 ) )
= $true )
& ( ( X1 @ ( sK4 @ X1 @ X0 ) )
= $true ) )
| ( $true
!= ( sP0 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f16,f17]) ).
thf(f17,plain,
! [X0: a > a > a,X1: a > $o] :
( ? [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X3 @ X2 ) )
!= $true )
& ( $true
= ( X1 @ X3 ) )
& ( ( X1 @ X2 )
= $true ) )
=> ( ( ( X1 @ ( X0 @ ( sK5 @ X1 @ X0 ) @ ( sK4 @ X1 @ X0 ) ) )
!= $true )
& ( ( X1 @ ( sK5 @ X1 @ X0 ) )
= $true )
& ( ( X1 @ ( sK4 @ X1 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X0: a > a > a,X1: a > $o] :
( ? [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X3 @ X2 ) )
!= $true )
& ( $true
= ( X1 @ X3 ) )
& ( ( X1 @ X2 )
= $true ) )
| ( $true
!= ( sP0 @ X1 @ X0 ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,plain,
! [X2: a > a > a,X4: a > $o] :
( ? [X27: a,X28: a] :
( ( ( X4 @ ( X2 @ X28 @ X27 ) )
!= $true )
& ( $true
= ( X4 @ X28 ) )
& ( ( X4 @ X27 )
= $true ) )
| ( ( sP0 @ X4 @ X2 )
!= $true ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f8,plain,
! [X2: a > a > a,X4: a > $o] :
( ? [X27: a,X28: a] :
( ( ( X4 @ ( X2 @ X28 @ X27 ) )
!= $true )
& ( $true
= ( X4 @ X28 ) )
& ( ( X4 @ X27 )
= $true ) )
| ( ( sP0 @ X4 @ X2 )
!= $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f88,plain,
( ( ( sK10 @ ( sK4 @ sK10 @ sK13 ) )
!= $true )
| spl17_9 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f86,plain,
( spl17_9
<=> ( ( sK10 @ ( sK4 @ sK10 @ sK13 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
thf(f165,plain,
( ~ spl17_1
| spl17_14 ),
inference(avatar_split_clause,[],[f162,f145,f45]) ).
thf(f45,plain,
( spl17_1
<=> ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
thf(f145,plain,
( spl17_14
<=> ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
thf(f162,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| spl17_14 ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f161,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| ( $true != $true )
| spl17_14 ),
inference(superposition,[],[f147,f24]) ).
thf(f24,plain,
! [X2: b > a,X3: a > a > a,X0: g > g > g,X1: g > b,X4: g > $o] :
( ( $true
= ( X4 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( ( sP1 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: g > g > g,X1: g > b,X2: b > a,X3: a > a > a,X4: g > $o] :
( ( ( ( X2 @ ( X1 @ ( X0 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X4 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X4 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
| ( ( sP1 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
! [X0: g > g > g,X1: g > b,X2: b > a,X3: a > a > a,X4: g > $o] :
( ? [X5: g,X6: g] :
( ( ( X2 @ ( X1 @ ( X0 @ X6 @ X5 ) ) )
!= ( X3 @ ( X2 @ ( X1 @ X6 ) ) @ ( X2 @ ( X1 @ X5 ) ) ) )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
= $true ) )
=> ( ( ( X2 @ ( X1 @ ( X0 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X4 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X4 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: g > g > g,X1: g > b,X2: b > a,X3: a > a > a,X4: g > $o] :
( ? [X5: g,X6: g] :
( ( ( X2 @ ( X1 @ ( X0 @ X6 @ X5 ) ) )
!= ( X3 @ ( X2 @ ( X1 @ X6 ) ) @ ( X2 @ ( X1 @ X5 ) ) ) )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
= $true ) )
| ( ( sP1 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
! [X1: g > g > g,X5: g > b,X6: b > a,X2: a > a > a,X3: g > $o] :
( ? [X23: g,X22: g] :
( ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
!= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) )
& ( ( X3 @ X23 )
= $true )
& ( ( X3 @ X22 )
= $true ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X6 @ X5 @ X1 ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X1: g > g > g,X5: g > b,X6: b > a,X2: a > a > a,X3: g > $o] :
( ? [X23: g,X22: g] :
( ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
!= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) )
& ( ( X3 @ X23 )
= $true )
& ( ( X3 @ X22 )
= $true ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X6 @ X5 @ X1 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f147,plain,
( ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| spl17_14 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f157,plain,
( spl17_2
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_contradiction_clause,[],[f156]) ).
thf(f156,plain,
( $false
| spl17_2
| ~ spl17_6
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f155,f73]) ).
thf(f73,plain,
( ( $true
= ( sK12 @ sK14 ) )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f71,plain,
( spl17_7
<=> ( $true
= ( sK12 @ sK14 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
thf(f155,plain,
( ( $true
!= ( sK12 @ sK14 ) )
| spl17_2
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f154,f68]) ).
thf(f68,plain,
( ( ( sK12 @ sK15 )
= $true )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f66,plain,
( spl17_6
<=> ( ( sK12 @ sK15 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
thf(f154,plain,
( ( $true
!= ( sK12 @ sK14 ) )
| ( ( sK12 @ sK15 )
!= $true )
| spl17_2 ),
inference(trivial_inequality_removal,[],[f153]) ).
thf(f153,plain,
( ( $true != $true )
| ( ( sK12 @ sK15 )
!= $true )
| ( $true
!= ( sK12 @ sK14 ) )
| spl17_2 ),
inference(superposition,[],[f51,f38]) ).
thf(f38,plain,
! [X16: g,X17: g] :
( ( ( sK12 @ ( sK11 @ X17 @ X16 ) )
= $true )
| ( ( sK12 @ X17 )
!= $true )
| ( ( sK12 @ X16 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ! [X8: b] :
( ( ( sK10 @ ( sK6 @ X8 ) )
= $true )
| ( ( sK9 @ X8 )
!= $true ) )
& ! [X9: b,X10: b] :
( ( ( sK9 @ X10 )
!= $true )
| ( ( sK9 @ ( sK8 @ X9 @ X10 ) )
= $true )
| ( ( sK9 @ X9 )
!= $true ) )
& ! [X11: b,X12: b] :
( ( ( sK9 @ X12 )
!= $true )
| ( ( sK9 @ X11 )
!= $true )
| ( $true
= ( sK9 @ ( sK8 @ X11 @ X12 ) ) ) )
& ! [X13: g] :
( ( $true
!= ( sK12 @ X13 ) )
| ( ( sK9 @ ( sK7 @ X13 ) )
= $true ) )
& ! [X14: a,X15: a] :
( ( ( sK10 @ X14 )
!= $true )
| ( ( sK10 @ X15 )
!= $true )
| ( ( sK10 @ ( sK13 @ X15 @ X14 ) )
= $true ) )
& ! [X16: g,X17: g] :
( ( ( sK12 @ X16 )
!= $true )
| ( ( sK12 @ X17 )
!= $true )
| ( ( sK12 @ ( sK11 @ X17 @ X16 ) )
= $true ) )
& ! [X18: g,X19: g] :
( ( $true
!= ( sK12 @ X19 ) )
| ( ( sK8 @ ( sK7 @ X19 ) @ ( sK7 @ X18 ) )
= ( sK7 @ ( sK11 @ X19 @ X18 ) ) )
| ( ( sK12 @ X18 )
!= $true ) )
& ! [X20: b,X21: b] :
( ( ( sK9 @ X21 )
!= $true )
| ( ( sK13 @ ( sK6 @ X20 ) @ ( sK6 @ X21 ) )
= ( sK6 @ ( sK8 @ X20 @ X21 ) ) )
| ( $true
!= ( sK9 @ X20 ) ) )
& ( ( ( $true
= ( sK12 @ sK14 ) )
& ( ( sK12 @ sK15 )
= $true )
& ( $true
!= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) ) )
| ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true )
& ( $true
= ( sK12 @ sK16 ) ) )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f19,f22,f21,f20]) ).
thf(f20,plain,
( ? [X0: b > a,X1: g > b,X2: b > b > b,X3: b > $o,X4: a > $o,X5: g > g > g,X6: g > $o,X7: a > a > a] :
( ! [X8: b] :
( ( $true
= ( X4 @ ( X0 @ X8 ) ) )
| ( ( X3 @ X8 )
!= $true ) )
& ! [X9: b,X10: b] :
( ( ( X3 @ X10 )
!= $true )
| ( $true
= ( X3 @ ( X2 @ X9 @ X10 ) ) )
| ( ( X3 @ X9 )
!= $true ) )
& ! [X11: b,X12: b] :
( ( ( X3 @ X12 )
!= $true )
| ( ( X3 @ X11 )
!= $true )
| ( ( X3 @ ( X2 @ X11 @ X12 ) )
= $true ) )
& ! [X13: g] :
( ( ( X6 @ X13 )
!= $true )
| ( ( X3 @ ( X1 @ X13 ) )
= $true ) )
& ! [X14: a,X15: a] :
( ( $true
!= ( X4 @ X14 ) )
| ( $true
!= ( X4 @ X15 ) )
| ( ( X4 @ ( X7 @ X15 @ X14 ) )
= $true ) )
& ! [X16: g,X17: g] :
( ( ( X6 @ X16 )
!= $true )
| ( ( X6 @ X17 )
!= $true )
| ( $true
= ( X6 @ ( X5 @ X17 @ X16 ) ) ) )
& ! [X18: g,X19: g] :
( ( ( X6 @ X19 )
!= $true )
| ( ( X1 @ ( X5 @ X19 @ X18 ) )
= ( X2 @ ( X1 @ X19 ) @ ( X1 @ X18 ) ) )
| ( ( X6 @ X18 )
!= $true ) )
& ! [X20: b,X21: b] :
( ( ( X3 @ X21 )
!= $true )
| ( ( X7 @ ( X0 @ X20 ) @ ( X0 @ X21 ) )
= ( X0 @ ( X2 @ X20 @ X21 ) ) )
| ( $true
!= ( X3 @ X20 ) ) )
& ( ? [X22: g,X23: g] :
( ( $true
= ( X6 @ X22 ) )
& ( $true
= ( X6 @ X23 ) )
& ( ( X6 @ ( X5 @ X22 @ X23 ) )
!= $true ) )
| ( ( sP1 @ X6 @ X7 @ X0 @ X1 @ X5 )
= $true )
| ? [X24: g] :
( ( ( X4 @ ( X0 @ ( X1 @ X24 ) ) )
!= $true )
& ( $true
= ( X6 @ X24 ) ) )
| ( ( sP0 @ X4 @ X7 )
= $true ) ) )
=> ( ! [X8: b] :
( ( ( sK10 @ ( sK6 @ X8 ) )
= $true )
| ( ( sK9 @ X8 )
!= $true ) )
& ! [X10: b,X9: b] :
( ( ( sK9 @ X10 )
!= $true )
| ( ( sK9 @ ( sK8 @ X9 @ X10 ) )
= $true )
| ( ( sK9 @ X9 )
!= $true ) )
& ! [X12: b,X11: b] :
( ( ( sK9 @ X12 )
!= $true )
| ( ( sK9 @ X11 )
!= $true )
| ( $true
= ( sK9 @ ( sK8 @ X11 @ X12 ) ) ) )
& ! [X13: g] :
( ( $true
!= ( sK12 @ X13 ) )
| ( ( sK9 @ ( sK7 @ X13 ) )
= $true ) )
& ! [X15: a,X14: a] :
( ( ( sK10 @ X14 )
!= $true )
| ( ( sK10 @ X15 )
!= $true )
| ( ( sK10 @ ( sK13 @ X15 @ X14 ) )
= $true ) )
& ! [X17: g,X16: g] :
( ( ( sK12 @ X16 )
!= $true )
| ( ( sK12 @ X17 )
!= $true )
| ( ( sK12 @ ( sK11 @ X17 @ X16 ) )
= $true ) )
& ! [X19: g,X18: g] :
( ( $true
!= ( sK12 @ X19 ) )
| ( ( sK8 @ ( sK7 @ X19 ) @ ( sK7 @ X18 ) )
= ( sK7 @ ( sK11 @ X19 @ X18 ) ) )
| ( ( sK12 @ X18 )
!= $true ) )
& ! [X21: b,X20: b] :
( ( ( sK9 @ X21 )
!= $true )
| ( ( sK13 @ ( sK6 @ X20 ) @ ( sK6 @ X21 ) )
= ( sK6 @ ( sK8 @ X20 @ X21 ) ) )
| ( $true
!= ( sK9 @ X20 ) ) )
& ( ? [X23: g,X22: g] :
( ( ( sK12 @ X22 )
= $true )
& ( ( sK12 @ X23 )
= $true )
& ( ( sK12 @ ( sK11 @ X22 @ X23 ) )
!= $true ) )
| ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ? [X24: g] :
( ( ( sK10 @ ( sK6 @ ( sK7 @ X24 ) ) )
!= $true )
& ( $true
= ( sK12 @ X24 ) ) )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
( ? [X23: g,X22: g] :
( ( ( sK12 @ X22 )
= $true )
& ( ( sK12 @ X23 )
= $true )
& ( ( sK12 @ ( sK11 @ X22 @ X23 ) )
!= $true ) )
=> ( ( $true
= ( sK12 @ sK14 ) )
& ( ( sK12 @ sK15 )
= $true )
& ( $true
!= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X24: g] :
( ( ( sK10 @ ( sK6 @ ( sK7 @ X24 ) ) )
!= $true )
& ( $true
= ( sK12 @ X24 ) ) )
=> ( ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true )
& ( $true
= ( sK12 @ sK16 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
? [X0: b > a,X1: g > b,X2: b > b > b,X3: b > $o,X4: a > $o,X5: g > g > g,X6: g > $o,X7: a > a > a] :
( ! [X8: b] :
( ( $true
= ( X4 @ ( X0 @ X8 ) ) )
| ( ( X3 @ X8 )
!= $true ) )
& ! [X9: b,X10: b] :
( ( ( X3 @ X10 )
!= $true )
| ( $true
= ( X3 @ ( X2 @ X9 @ X10 ) ) )
| ( ( X3 @ X9 )
!= $true ) )
& ! [X11: b,X12: b] :
( ( ( X3 @ X12 )
!= $true )
| ( ( X3 @ X11 )
!= $true )
| ( ( X3 @ ( X2 @ X11 @ X12 ) )
= $true ) )
& ! [X13: g] :
( ( ( X6 @ X13 )
!= $true )
| ( ( X3 @ ( X1 @ X13 ) )
= $true ) )
& ! [X14: a,X15: a] :
( ( $true
!= ( X4 @ X14 ) )
| ( $true
!= ( X4 @ X15 ) )
| ( ( X4 @ ( X7 @ X15 @ X14 ) )
= $true ) )
& ! [X16: g,X17: g] :
( ( ( X6 @ X16 )
!= $true )
| ( ( X6 @ X17 )
!= $true )
| ( $true
= ( X6 @ ( X5 @ X17 @ X16 ) ) ) )
& ! [X18: g,X19: g] :
( ( ( X6 @ X19 )
!= $true )
| ( ( X1 @ ( X5 @ X19 @ X18 ) )
= ( X2 @ ( X1 @ X19 ) @ ( X1 @ X18 ) ) )
| ( ( X6 @ X18 )
!= $true ) )
& ! [X20: b,X21: b] :
( ( ( X3 @ X21 )
!= $true )
| ( ( X7 @ ( X0 @ X20 ) @ ( X0 @ X21 ) )
= ( X0 @ ( X2 @ X20 @ X21 ) ) )
| ( $true
!= ( X3 @ X20 ) ) )
& ( ? [X22: g,X23: g] :
( ( $true
= ( X6 @ X22 ) )
& ( $true
= ( X6 @ X23 ) )
& ( ( X6 @ ( X5 @ X22 @ X23 ) )
!= $true ) )
| ( ( sP1 @ X6 @ X7 @ X0 @ X1 @ X5 )
= $true )
| ? [X24: g] :
( ( ( X4 @ ( X0 @ ( X1 @ X24 ) ) )
!= $true )
& ( $true
= ( X6 @ X24 ) ) )
| ( ( sP0 @ X4 @ X7 )
= $true ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
? [X6: b > a,X5: g > b,X7: b > b > b,X0: b > $o,X4: a > $o,X1: g > g > g,X3: g > $o,X2: a > a > a] :
( ! [X8: b] :
( ( ( X4 @ ( X6 @ X8 ) )
= $true )
| ( ( X0 @ X8 )
!= $true ) )
& ! [X21: b,X20: b] :
( ( ( X0 @ X20 )
!= $true )
| ( ( X0 @ ( X7 @ X21 @ X20 ) )
= $true )
| ( ( X0 @ X21 )
!= $true ) )
& ! [X18: b,X19: b] :
( ( ( X0 @ X19 )
!= $true )
| ( $true
!= ( X0 @ X18 ) )
| ( $true
= ( X0 @ ( X7 @ X18 @ X19 ) ) ) )
& ! [X13: g] :
( ( ( X3 @ X13 )
!= $true )
| ( ( X0 @ ( X5 @ X13 ) )
= $true ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X4 @ X11 ) )
| ( ( X4 @ X12 )
!= $true )
| ( $true
= ( X4 @ ( X2 @ X12 @ X11 ) ) ) )
& ! [X14: g,X15: g] :
( ( ( X3 @ X14 )
!= $true )
| ( ( X3 @ X15 )
!= $true )
| ( $true
= ( X3 @ ( X1 @ X15 @ X14 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X10 )
!= $true )
| ( ( X7 @ ( X5 @ X10 ) @ ( X5 @ X9 ) )
= ( X5 @ ( X1 @ X10 @ X9 ) ) )
| ( $true
!= ( X3 @ X9 ) ) )
& ! [X16: b,X17: b] :
( ( ( X0 @ X17 )
!= $true )
| ( ( X6 @ ( X7 @ X16 @ X17 ) )
= ( X2 @ ( X6 @ X16 ) @ ( X6 @ X17 ) ) )
| ( ( X0 @ X16 )
!= $true ) )
& ( ? [X24: g,X25: g] :
( ( $true
= ( X3 @ X24 ) )
& ( $true
= ( X3 @ X25 ) )
& ( ( X3 @ ( X1 @ X24 @ X25 ) )
!= $true ) )
| ( $true
= ( sP1 @ X3 @ X2 @ X6 @ X5 @ X1 ) )
| ? [X26: g] :
( ( ( X4 @ ( X6 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X3 @ X26 )
= $true ) )
| ( ( sP0 @ X4 @ X2 )
= $true ) ) ),
inference(definition_folding,[],[f7,f9,f8]) ).
thf(f7,plain,
? [X6: b > a,X5: g > b,X7: b > b > b,X0: b > $o,X4: a > $o,X1: g > g > g,X3: g > $o,X2: a > a > a] :
( ! [X8: b] :
( ( ( X4 @ ( X6 @ X8 ) )
= $true )
| ( ( X0 @ X8 )
!= $true ) )
& ! [X21: b,X20: b] :
( ( ( X0 @ X20 )
!= $true )
| ( ( X0 @ ( X7 @ X21 @ X20 ) )
= $true )
| ( ( X0 @ X21 )
!= $true ) )
& ! [X18: b,X19: b] :
( ( ( X0 @ X19 )
!= $true )
| ( $true
!= ( X0 @ X18 ) )
| ( $true
= ( X0 @ ( X7 @ X18 @ X19 ) ) ) )
& ! [X13: g] :
( ( ( X3 @ X13 )
!= $true )
| ( ( X0 @ ( X5 @ X13 ) )
= $true ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X4 @ X11 ) )
| ( ( X4 @ X12 )
!= $true )
| ( $true
= ( X4 @ ( X2 @ X12 @ X11 ) ) ) )
& ! [X14: g,X15: g] :
( ( ( X3 @ X14 )
!= $true )
| ( ( X3 @ X15 )
!= $true )
| ( $true
= ( X3 @ ( X1 @ X15 @ X14 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X10 )
!= $true )
| ( ( X7 @ ( X5 @ X10 ) @ ( X5 @ X9 ) )
= ( X5 @ ( X1 @ X10 @ X9 ) ) )
| ( $true
!= ( X3 @ X9 ) ) )
& ! [X16: b,X17: b] :
( ( ( X0 @ X17 )
!= $true )
| ( ( X6 @ ( X7 @ X16 @ X17 ) )
= ( X2 @ ( X6 @ X16 ) @ ( X6 @ X17 ) ) )
| ( ( X0 @ X16 )
!= $true ) )
& ( ? [X24: g,X25: g] :
( ( $true
= ( X3 @ X24 ) )
& ( $true
= ( X3 @ X25 ) )
& ( ( X3 @ ( X1 @ X24 @ X25 ) )
!= $true ) )
| ? [X23: g,X22: g] :
( ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
!= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) )
& ( ( X3 @ X23 )
= $true )
& ( ( X3 @ X22 )
= $true ) )
| ? [X26: g] :
( ( ( X4 @ ( X6 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X3 @ X26 )
= $true ) )
| ? [X27: a,X28: a] :
( ( ( X4 @ ( X2 @ X28 @ X27 ) )
!= $true )
& ( $true
= ( X4 @ X28 ) )
& ( ( X4 @ X27 )
= $true ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X1: g > g > g,X6: b > a,X0: b > $o,X4: a > $o,X7: b > b > b,X5: g > b,X2: a > a > a,X3: g > $o] :
( ( ? [X28: a,X27: a] :
( ( ( X4 @ ( X2 @ X28 @ X27 ) )
!= $true )
& ( ( X4 @ X27 )
= $true )
& ( $true
= ( X4 @ X28 ) ) )
| ? [X26: g] :
( ( ( X4 @ ( X6 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X3 @ X26 )
= $true ) )
| ? [X24: g,X25: g] :
( ( ( X3 @ ( X1 @ X24 @ X25 ) )
!= $true )
& ( $true
= ( X3 @ X24 ) )
& ( $true
= ( X3 @ X25 ) ) )
| ? [X23: g,X22: g] :
( ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
!= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) )
& ( ( X3 @ X22 )
= $true )
& ( ( X3 @ X23 )
= $true ) ) )
& ! [X9: g,X10: g] :
( ( ( X7 @ ( X5 @ X10 ) @ ( X5 @ X9 ) )
= ( X5 @ ( X1 @ X10 @ X9 ) ) )
| ( $true
!= ( X3 @ X9 ) )
| ( ( X3 @ X10 )
!= $true ) )
& ! [X18: b,X19: b] :
( ( $true
= ( X0 @ ( X7 @ X18 @ X19 ) ) )
| ( ( X0 @ X19 )
!= $true )
| ( $true
!= ( X0 @ X18 ) ) )
& ! [X13: g] :
( ( ( X3 @ X13 )
!= $true )
| ( ( X0 @ ( X5 @ X13 ) )
= $true ) )
& ! [X12: a,X11: a] :
( ( $true
= ( X4 @ ( X2 @ X12 @ X11 ) ) )
| ( ( X4 @ X12 )
!= $true )
| ( $true
!= ( X4 @ X11 ) ) )
& ! [X16: b,X17: b] :
( ( ( X6 @ ( X7 @ X16 @ X17 ) )
= ( X2 @ ( X6 @ X16 ) @ ( X6 @ X17 ) ) )
| ( ( X0 @ X16 )
!= $true )
| ( ( X0 @ X17 )
!= $true ) )
& ! [X8: b] :
( ( ( X4 @ ( X6 @ X8 ) )
= $true )
| ( ( X0 @ X8 )
!= $true ) )
& ! [X20: b,X21: b] :
( ( ( X0 @ ( X7 @ X21 @ X20 ) )
= $true )
| ( ( X0 @ X20 )
!= $true )
| ( ( X0 @ X21 )
!= $true ) )
& ! [X15: g,X14: g] :
( ( $true
= ( X3 @ ( X1 @ X15 @ X14 ) ) )
| ( ( X3 @ X15 )
!= $true )
| ( ( X3 @ X14 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X1: g > g > g,X6: b > a,X0: b > $o,X4: a > $o,X7: b > b > b,X5: g > b,X2: a > a > a,X3: g > $o] :
( ( ! [X9: g,X10: g] :
( ( ( $true
= ( X3 @ X9 ) )
& ( ( X3 @ X10 )
= $true ) )
=> ( ( X7 @ ( X5 @ X10 ) @ ( X5 @ X9 ) )
= ( X5 @ ( X1 @ X10 @ X9 ) ) ) )
& ! [X18: b,X19: b] :
( ( ( ( X0 @ X19 )
= $true )
& ( $true
= ( X0 @ X18 ) ) )
=> ( $true
= ( X0 @ ( X7 @ X18 @ X19 ) ) ) )
& ! [X13: g] :
( ( ( X3 @ X13 )
= $true )
=> ( ( X0 @ ( X5 @ X13 ) )
= $true ) )
& ! [X12: a,X11: a] :
( ( ( ( X4 @ X12 )
= $true )
& ( $true
= ( X4 @ X11 ) ) )
=> ( $true
= ( X4 @ ( X2 @ X12 @ X11 ) ) ) )
& ! [X16: b,X17: b] :
( ( ( ( X0 @ X16 )
= $true )
& ( ( X0 @ X17 )
= $true ) )
=> ( ( X6 @ ( X7 @ X16 @ X17 ) )
= ( X2 @ ( X6 @ X16 ) @ ( X6 @ X17 ) ) ) )
& ! [X8: b] :
( ( ( X0 @ X8 )
= $true )
=> ( ( X4 @ ( X6 @ X8 ) )
= $true ) )
& ! [X20: b,X21: b] :
( ( ( ( X0 @ X20 )
= $true )
& ( ( X0 @ X21 )
= $true ) )
=> ( ( X0 @ ( X7 @ X21 @ X20 ) )
= $true ) )
& ! [X15: g,X14: g] :
( ( ( ( X3 @ X15 )
= $true )
& ( ( X3 @ X14 )
= $true ) )
=> ( $true
= ( X3 @ ( X1 @ X15 @ X14 ) ) ) ) )
=> ( ! [X28: a,X27: a] :
( ( ( ( X4 @ X27 )
= $true )
& ( $true
= ( X4 @ X28 ) ) )
=> ( ( X4 @ ( X2 @ X28 @ X27 ) )
= $true ) )
& ! [X26: g] :
( ( ( X3 @ X26 )
= $true )
=> ( ( X4 @ ( X6 @ ( X5 @ X26 ) ) )
= $true ) )
& ! [X24: g,X25: g] :
( ( ( $true
= ( X3 @ X24 ) )
& ( $true
= ( X3 @ X25 ) ) )
=> ( ( X3 @ ( X1 @ X24 @ X25 ) )
= $true ) )
& ! [X23: g,X22: g] :
( ( ( ( X3 @ X22 )
= $true )
& ( ( X3 @ X23 )
= $true ) )
=> ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: b > $o,X1: g > g > g,X2: a > a > a,X3: g > $o,X4: a > $o,X5: g > b,X6: b > a,X7: b > b > b] :
( ( ! [X8: b] :
( ( X0 @ X8 )
=> ( X4 @ ( X6 @ X8 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X7 @ ( X5 @ X10 ) @ ( X5 @ X9 ) )
= ( X5 @ ( X1 @ X10 @ X9 ) ) ) )
& ! [X11: a,X12: a] :
( ( ( X4 @ X12 )
& ( X4 @ X11 ) )
=> ( X4 @ ( X2 @ X12 @ X11 ) ) )
& ! [X13: g] :
( ( X3 @ X13 )
=> ( X0 @ ( X5 @ X13 ) ) )
& ! [X14: g,X15: g] :
( ( ( X3 @ X14 )
& ( X3 @ X15 ) )
=> ( X3 @ ( X1 @ X15 @ X14 ) ) )
& ! [X16: b,X17: b] :
( ( ( X0 @ X16 )
& ( X0 @ X17 ) )
=> ( ( X6 @ ( X7 @ X16 @ X17 ) )
= ( X2 @ ( X6 @ X16 ) @ ( X6 @ X17 ) ) ) )
& ! [X18: b,X19: b] :
( ( ( X0 @ X19 )
& ( X0 @ X18 ) )
=> ( X0 @ ( X7 @ X18 @ X19 ) ) )
& ! [X20: b,X21: b] :
( ( ( X0 @ X21 )
& ( X0 @ X20 ) )
=> ( X0 @ ( X7 @ X21 @ X20 ) ) ) )
=> ( ! [X22: g,X23: g] :
( ( ( X3 @ X22 )
& ( X3 @ X23 ) )
=> ( ( X2 @ ( X6 @ ( X5 @ X22 ) ) @ ( X6 @ ( X5 @ X23 ) ) )
= ( X6 @ ( X5 @ ( X1 @ X22 @ X23 ) ) ) ) )
& ! [X24: g,X25: g] :
( ( ( X3 @ X24 )
& ( X3 @ X25 ) )
=> ( X3 @ ( X1 @ X24 @ X25 ) ) )
& ! [X26: g] :
( ( X3 @ X26 )
=> ( X4 @ ( X6 @ ( X5 @ X26 ) ) ) )
& ! [X27: a,X28: a] :
( ( ( X4 @ X27 )
& ( X4 @ X28 ) )
=> ( X4 @ ( X2 @ X28 @ X27 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X4: b > $o,X3: g > g > g,X7: a > a > a,X2: g > $o,X6: a > $o,X0: g > b,X1: b > a,X5: b > b > b] :
( ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) ) )
=> ( ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X9 )
& ( X6 @ X8 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X4: b > $o,X3: g > g > g,X7: a > a > a,X2: g > $o,X6: a > $o,X0: g > b,X1: b > a,X5: b > b > b] :
( ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X8: b,X9: b] :
( ( ( X4 @ X9 )
& ( X4 @ X8 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) ) )
=> ( ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X9 )
& ( X6 @ X8 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126_pme) ).
thf(f51,plain,
( ( $true
!= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) )
| spl17_2 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f49,plain,
( spl17_2
<=> ( $true
= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
thf(f152,plain,
( ~ spl17_1
| spl17_13 ),
inference(avatar_contradiction_clause,[],[f151]) ).
thf(f151,plain,
( $false
| ~ spl17_1
| spl17_13 ),
inference(subsumption_resolution,[],[f150,f47]) ).
thf(f47,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f150,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| spl17_13 ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f149,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| ( $true != $true )
| spl17_13 ),
inference(superposition,[],[f143,f25]) ).
thf(f25,plain,
! [X2: b > a,X3: a > a > a,X0: g > g > g,X1: g > b,X4: g > $o] :
( ( ( X4 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( sP1 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f143,plain,
( ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| spl17_13 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f141,plain,
( spl17_13
<=> ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
thf(f148,plain,
( ~ spl17_13
| ~ spl17_14
| spl17_11 ),
inference(avatar_split_clause,[],[f139,f118,f145,f141]) ).
thf(f118,plain,
( spl17_11
<=> ( ( sK6 @ ( sK8 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
thf(f139,plain,
( ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| spl17_11 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| ( ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
!= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) )
| spl17_11 ),
inference(superposition,[],[f120,f37]) ).
thf(f37,plain,
! [X18: g,X19: g] :
( ( ( sK8 @ ( sK7 @ X19 ) @ ( sK7 @ X18 ) )
= ( sK7 @ ( sK11 @ X19 @ X18 ) ) )
| ( $true
!= ( sK12 @ X19 ) )
| ( ( sK12 @ X18 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f120,plain,
( ( ( sK6 @ ( sK8 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
!= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) )
| spl17_11 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f137,plain,
( ~ spl17_1
| spl17_12 ),
inference(avatar_contradiction_clause,[],[f136]) ).
thf(f136,plain,
( $false
| ~ spl17_1
| spl17_12 ),
inference(subsumption_resolution,[],[f135,f47]) ).
thf(f135,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| spl17_12 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f134,plain,
( ( $true != $true )
| ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| spl17_12 ),
inference(superposition,[],[f133,f25]) ).
thf(f133,plain,
( ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| spl17_12 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f132,plain,
( ( ( sK12 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| ( $true != $true )
| spl17_12 ),
inference(superposition,[],[f124,f40]) ).
thf(f40,plain,
! [X13: g] :
( ( ( sK9 @ ( sK7 @ X13 ) )
= $true )
| ( $true
!= ( sK12 @ X13 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f124,plain,
( ( ( sK9 @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) )
!= $true )
| spl17_12 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f122,plain,
( spl17_12
<=> ( ( sK9 @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
thf(f131,plain,
( ~ spl17_1
| spl17_10 ),
inference(avatar_contradiction_clause,[],[f130]) ).
thf(f130,plain,
( $false
| ~ spl17_1
| spl17_10 ),
inference(subsumption_resolution,[],[f129,f47]) ).
thf(f129,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f128,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
!= $true )
| ( $true != $true )
| spl17_10 ),
inference(superposition,[],[f127,f24]) ).
thf(f127,plain,
( ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f126,plain,
( ( ( sK12 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) )
!= $true )
| ( $true != $true )
| spl17_10 ),
inference(superposition,[],[f116,f40]) ).
thf(f116,plain,
( ( $true
!= ( sK9 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
| spl17_10 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f114,plain,
( spl17_10
<=> ( $true
= ( sK9 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
thf(f125,plain,
( ~ spl17_10
| ~ spl17_11
| ~ spl17_12
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f112,f45,f122,f118,f114]) ).
thf(f112,plain,
( ( $true
!= ( sK9 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
| ( ( sK9 @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) )
!= $true )
| ( ( sK6 @ ( sK8 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
!= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) )
| ~ spl17_1 ),
inference(superposition,[],[f111,f36]) ).
thf(f36,plain,
! [X21: b,X20: b] :
( ( ( sK13 @ ( sK6 @ X20 ) @ ( sK6 @ X21 ) )
= ( sK6 @ ( sK8 @ X20 @ X21 ) ) )
| ( ( sK9 @ X21 )
!= $true )
| ( $true
!= ( sK9 @ X20 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f111,plain,
( ( ( sK13 @ ( sK6 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) @ ( sK6 @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
!= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) )
| ~ spl17_1 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
( ( $true != $true )
| ( ( sK13 @ ( sK6 @ ( sK7 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) @ ( sK6 @ ( sK7 @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) )
!= ( sK6 @ ( sK7 @ ( sK11 @ ( sK3 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) @ ( sK2 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 ) ) ) ) )
| ~ spl17_1 ),
inference(superposition,[],[f26,f47]) ).
thf(f26,plain,
! [X2: b > a,X3: a > a > a,X0: g > g > g,X1: g > b,X4: g > $o] :
( ( ( sP1 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true )
| ( ( X2 @ ( X1 @ ( X0 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK3 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK2 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f100,plain,
( ~ spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f97,f53,f62]) ).
thf(f62,plain,
( spl17_5
<=> ( $true
= ( sK12 @ sK16 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
thf(f53,plain,
( spl17_3
<=> ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
thf(f97,plain,
( ( $true
!= ( sK12 @ sK16 ) )
| spl17_3 ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f96,plain,
( ( $true != $true )
| ( $true
!= ( sK12 @ sK16 ) )
| spl17_3 ),
inference(superposition,[],[f95,f40]) ).
thf(f95,plain,
( ( ( sK9 @ ( sK7 @ sK16 ) )
!= $true )
| spl17_3 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,plain,
( ( ( sK9 @ ( sK7 @ sK16 ) )
!= $true )
| ( $true != $true )
| spl17_3 ),
inference(superposition,[],[f55,f43]) ).
thf(f43,plain,
! [X8: b] :
( ( ( sK10 @ ( sK6 @ X8 ) )
= $true )
| ( ( sK9 @ X8 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f55,plain,
( ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true )
| spl17_3 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f93,plain,
( ~ spl17_4
| spl17_8 ),
inference(avatar_contradiction_clause,[],[f92]) ).
thf(f92,plain,
( $false
| ~ spl17_4
| spl17_8 ),
inference(subsumption_resolution,[],[f91,f59]) ).
thf(f91,plain,
( ( $true
!= ( sP0 @ sK10 @ sK13 ) )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f90,plain,
( ( $true
!= ( sP0 @ sK10 @ sK13 ) )
| ( $true != $true )
| spl17_8 ),
inference(superposition,[],[f84,f28]) ).
thf(f28,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( X1 @ ( sK5 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP0 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f84,plain,
( ( $true
!= ( sK10 @ ( sK5 @ sK10 @ sK13 ) ) )
| spl17_8 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl17_8
<=> ( $true
= ( sK10 @ ( sK5 @ sK10 @ sK13 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
thf(f89,plain,
( ~ spl17_8
| ~ spl17_9
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f80,f57,f86,f82]) ).
thf(f80,plain,
( ( $true
!= ( sK10 @ ( sK5 @ sK10 @ sK13 ) ) )
| ( ( sK10 @ ( sK4 @ sK10 @ sK13 ) )
!= $true )
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f79,f59]) ).
thf(f79,plain,
( ( $true
!= ( sP0 @ sK10 @ sK13 ) )
| ( $true
!= ( sK10 @ ( sK5 @ sK10 @ sK13 ) ) )
| ( ( sK10 @ ( sK4 @ sK10 @ sK13 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f78,plain,
( ( $true != $true )
| ( ( sK10 @ ( sK4 @ sK10 @ sK13 ) )
!= $true )
| ( $true
!= ( sK10 @ ( sK5 @ sK10 @ sK13 ) ) )
| ( $true
!= ( sP0 @ sK10 @ sK13 ) ) ),
inference(superposition,[],[f29,f39]) ).
thf(f39,plain,
! [X14: a,X15: a] :
( ( ( sK10 @ ( sK13 @ X15 @ X14 ) )
= $true )
| ( ( sK10 @ X14 )
!= $true )
| ( ( sK10 @ X15 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( X1 @ ( X0 @ ( sK5 @ X1 @ X0 ) @ ( sK4 @ X1 @ X0 ) ) )
!= $true )
| ( $true
!= ( sP0 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f77,plain,
( ~ spl17_3
| spl17_1
| spl17_4
| spl17_6 ),
inference(avatar_split_clause,[],[f33,f66,f57,f45,f53]) ).
thf(f33,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( ( sK12 @ sK15 )
= $true )
| ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f76,plain,
( spl17_4
| ~ spl17_3
| spl17_1
| spl17_7 ),
inference(avatar_split_clause,[],[f35,f71,f45,f53,f57]) ).
thf(f35,plain,
( ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true )
| ( $true
= ( sK12 @ sK14 ) )
| ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f75,plain,
( spl17_5
| spl17_4
| spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f30,f49,f45,f57,f62]) ).
thf(f30,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( $true
= ( sK12 @ sK16 ) )
| ( $true
!= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f74,plain,
( spl17_1
| spl17_4
| spl17_7
| spl17_5 ),
inference(avatar_split_clause,[],[f34,f62,f71,f57,f45]) ).
thf(f34,plain,
( ( $true
= ( sP0 @ sK10 @ sK13 ) )
| ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( $true
= ( sK12 @ sK14 ) )
| ( $true
= ( sK12 @ sK16 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f69,plain,
( spl17_5
| spl17_6
| spl17_4
| spl17_1 ),
inference(avatar_split_clause,[],[f32,f45,f57,f66,f62]) ).
thf(f32,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( ( sK12 @ sK15 )
= $true )
| ( $true
= ( sK12 @ sK16 ) )
| ( $true
= ( sP0 @ sK10 @ sK13 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f60,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f31,f57,f53,f49,f45]) ).
thf(f31,plain,
( ( ( sP1 @ sK12 @ sK13 @ sK6 @ sK7 @ sK11 )
= $true )
| ( $true
= ( sP0 @ sK10 @ sK13 ) )
| ( $true
!= ( sK12 @ ( sK11 @ sK14 @ sK15 ) ) )
| ( ( sK10 @ ( sK6 @ ( sK7 @ sK16 ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU904^5 : TPTP v8.2.0. Released v4.0.0.
% 0.16/0.17 % 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
% 0.17/0.39 % Computer : n006.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Sun May 19 18:05:08 EDT 2024
% 0.17/0.39 % CPUTime :
% 0.17/0.39 This is a TH0_THM_EQU_NAR problem
% 0.17/0.39 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.40 % (27368)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.41 % (27369)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)
% 0.17/0.41 % (27375)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)
% 0.17/0.41 % (27369)Instruction limit reached!
% 0.17/0.41 % (27369)------------------------------
% 0.17/0.41 % (27369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (27369)Termination reason: Unknown
% 0.17/0.41 % (27369)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (27369)Memory used [KB]: 1023
% 0.17/0.41 % (27369)Time elapsed: 0.003 s
% 0.17/0.41 % (27369)Instructions burned: 5 (million)
% 0.17/0.41 % (27369)------------------------------
% 0.17/0.41 % (27369)------------------------------
% 0.17/0.41 % (27375)Instruction limit reached!
% 0.17/0.41 % (27375)------------------------------
% 0.17/0.41 % (27375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (27375)Termination reason: Unknown
% 0.17/0.41 % (27375)Termination phase: Preprocessing 3
% 0.17/0.41
% 0.17/0.41 % (27375)Memory used [KB]: 1023
% 0.17/0.41 % (27375)Time elapsed: 0.003 s
% 0.17/0.41 % (27375)Instructions burned: 3 (million)
% 0.17/0.41 % (27375)------------------------------
% 0.17/0.41 % (27375)------------------------------
% 0.17/0.41 % (27370)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)
% 0.17/0.41 % (27374)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.41 % (27372)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)
% 0.17/0.41 % (27372)Instruction limit reached!
% 0.17/0.41 % (27372)------------------------------
% 0.17/0.41 % (27372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (27372)Termination reason: Unknown
% 0.17/0.41 % (27372)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (27372)Memory used [KB]: 895
% 0.17/0.41 % (27372)Time elapsed: 0.002 s
% 0.17/0.41 % (27372)Instructions burned: 2 (million)
% 0.17/0.41 % (27372)------------------------------
% 0.17/0.41 % (27372)------------------------------
% 0.17/0.42 % (27374)Instruction limit reached!
% 0.17/0.42 % (27374)------------------------------
% 0.17/0.42 % (27374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (27374)Termination reason: Unknown
% 0.17/0.42 % (27374)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (27374)Memory used [KB]: 5756
% 0.17/0.42 % (27374)Time elapsed: 0.012 s
% 0.17/0.42 % (27374)Instructions burned: 19 (million)
% 0.17/0.42 % (27374)------------------------------
% 0.17/0.42 % (27374)------------------------------
% 0.17/0.42 % (27376)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)
% 0.17/0.42 % (27373)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)
% 0.17/0.42 % (27371)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.42 % (27371)Instruction limit reached!
% 0.17/0.42 % (27371)------------------------------
% 0.17/0.42 % (27371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (27371)Termination reason: Unknown
% 0.17/0.42 % (27371)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (27371)Memory used [KB]: 895
% 0.17/0.42 % (27371)Time elapsed: 0.002 s
% 0.17/0.42 % (27371)Instructions burned: 2 (million)
% 0.17/0.42 % (27371)------------------------------
% 0.17/0.42 % (27371)------------------------------
% 0.17/0.42 % (27370)Instruction limit reached!
% 0.17/0.42 % (27370)------------------------------
% 0.17/0.42 % (27370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (27370)Termination reason: Unknown
% 0.17/0.42 % (27370)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (27370)Memory used [KB]: 5756
% 0.17/0.42 % (27370)Time elapsed: 0.016 s
% 0.17/0.42 % (27370)Instructions burned: 27 (million)
% 0.17/0.42 % (27370)------------------------------
% 0.17/0.42 % (27370)------------------------------
% 0.17/0.42 % (27377)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)
% 0.17/0.42 % (27378)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)
% 0.17/0.43 % (27378)Instruction limit reached!
% 0.17/0.43 % (27378)------------------------------
% 0.17/0.43 % (27378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (27378)Termination reason: Unknown
% 0.17/0.43 % (27378)Termination phase: Preprocessing 3
% 0.17/0.43
% 0.17/0.43 % (27378)Memory used [KB]: 1023
% 0.17/0.43 % (27378)Time elapsed: 0.003 s
% 0.17/0.43 % (27378)Instructions burned: 3 (million)
% 0.17/0.43 % (27378)------------------------------
% 0.17/0.43 % (27378)------------------------------
% 0.17/0.43 % (27377)Instruction limit reached!
% 0.17/0.43 % (27377)------------------------------
% 0.17/0.43 % (27377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (27377)Termination reason: Unknown
% 0.17/0.43 % (27377)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (27377)Memory used [KB]: 5884
% 0.17/0.43 % (27377)Time elapsed: 0.010 s
% 0.17/0.43 % (27377)Instructions burned: 16 (million)
% 0.17/0.43 % (27377)------------------------------
% 0.17/0.43 % (27377)------------------------------
% 0.17/0.43 % (27379)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)
% 0.17/0.44 % (27380)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.44 % (27381)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.44 % (27376)Instruction limit reached!
% 0.17/0.44 % (27376)------------------------------
% 0.17/0.44 % (27376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27376)Termination reason: Unknown
% 0.17/0.44 % (27376)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (27376)Memory used [KB]: 5628
% 0.17/0.44 % (27376)Time elapsed: 0.018 s
% 0.17/0.44 % (27376)Instructions burned: 37 (million)
% 0.17/0.44 % (27376)------------------------------
% 0.17/0.44 % (27376)------------------------------
% 0.17/0.44 % (27380)Instruction limit reached!
% 0.17/0.44 % (27380)------------------------------
% 0.17/0.44 % (27380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27380)Termination reason: Unknown
% 0.17/0.44 % (27380)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (27380)Memory used [KB]: 1023
% 0.17/0.44 % (27380)Time elapsed: 0.005 s
% 0.17/0.44 % (27380)Instructions burned: 7 (million)
% 0.17/0.44 % (27380)------------------------------
% 0.17/0.44 % (27380)------------------------------
% 0.17/0.44 % (27373)First to succeed.
% 0.17/0.44 % (27382)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)
% 0.17/0.44 % (27382)Instruction limit reached!
% 0.17/0.44 % (27382)------------------------------
% 0.17/0.44 % (27382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27382)Termination reason: Unknown
% 0.17/0.44 % (27382)Termination phase: Preprocessing 3
% 0.17/0.44
% 0.17/0.44 % (27382)Memory used [KB]: 1023
% 0.17/0.44 % (27382)Time elapsed: 0.003 s
% 0.17/0.44 % (27382)Instructions burned: 3 (million)
% 0.17/0.44 % (27382)------------------------------
% 0.17/0.44 % (27382)------------------------------
% 0.17/0.44 % (27381)Instruction limit reached!
% 0.17/0.44 % (27381)------------------------------
% 0.17/0.44 % (27381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (27381)Termination reason: Unknown
% 0.17/0.44 % (27381)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (27381)Memory used [KB]: 5756
% 0.17/0.44 % (27381)Time elapsed: 0.008 s
% 0.17/0.44 % (27381)Instructions burned: 18 (million)
% 0.17/0.44 % (27381)------------------------------
% 0.17/0.44 % (27381)------------------------------
% 0.17/0.45 % (27383)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)
% 0.17/0.45 % (27383)Instruction limit reached!
% 0.17/0.45 % (27383)------------------------------
% 0.17/0.45 % (27383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (27383)Termination reason: Unknown
% 0.17/0.45 % (27383)Termination phase: Preprocessing 3
% 0.17/0.45
% 0.17/0.45 % (27383)Memory used [KB]: 1023
% 0.17/0.45 % (27383)Time elapsed: 0.003 s
% 0.17/0.45 % (27383)Instructions burned: 4 (million)
% 0.17/0.45 % (27383)------------------------------
% 0.17/0.45 % (27383)------------------------------
% 0.17/0.45 % (27373)Refutation found. Thanks to Tanya!
% 0.17/0.45 % SZS status Theorem for theBenchmark
% 0.17/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.45 % (27373)------------------------------
% 0.17/0.45 % (27373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (27373)Termination reason: Refutation
% 0.17/0.45
% 0.17/0.45 % (27373)Memory used [KB]: 5756
% 0.17/0.45 % (27373)Time elapsed: 0.047 s
% 0.17/0.45 % (27373)Instructions burned: 29 (million)
% 0.17/0.45 % (27373)------------------------------
% 0.17/0.45 % (27373)------------------------------
% 0.17/0.45 % (27367)Success in time 0.045 s
% 0.17/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------