TSTP Solution File: SYO225^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO225^5 : 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 : n013.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 09:03:34 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 44
% Syntax : Number of formulae : 140 ( 3 unt; 24 typ; 0 def)
% Number of atoms : 1285 ( 473 equ; 0 cnn)
% Maximal formula atoms : 54 ( 11 avg)
% Number of connectives : 2443 ( 250 ~; 252 |; 226 &;1633 @)
% ( 12 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 275 ( 275 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 17 con; 0-5 aty)
% Number of variables : 388 ( 0 ^ 302 !; 85 ?; 388 :)
% ( 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: ( g > g > g ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > $o ) > $o ).
thf(func_def_7,type,
sP1: ( g > g > g ) > ( g > $o ) > $o ).
thf(func_def_8,type,
sK2: ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_9,type,
sK3: ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_10,type,
sK4: ( g > g > g ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > $o ) > g ).
thf(func_def_11,type,
sK5: ( g > g > g ) > ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > $o ) > g ).
thf(func_def_12,type,
sK6: b > b > b ).
thf(func_def_13,type,
sK7: g > $o ).
thf(func_def_14,type,
sK8: b > $o ).
thf(func_def_15,type,
sK9: a > a > a ).
thf(func_def_16,type,
sK10: g > b ).
thf(func_def_17,type,
sK11: g > g > g ).
thf(func_def_18,type,
sK12: a > $o ).
thf(func_def_19,type,
sK13: b > a ).
thf(func_def_20,type,
sK14: g ).
thf(func_def_21,type,
sK15: a ).
thf(func_def_22,type,
sK16: a ).
thf(func_def_24,type,
ph18:
!>[X0: $tType] : X0 ).
thf(f173,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f73,f78,f79,f80,f86,f91,f125,f130,f143,f145,f156,f164,f172]) ).
thf(f172,plain,
( ~ spl17_3
| spl17_12 ),
inference(avatar_contradiction_clause,[],[f171]) ).
thf(f171,plain,
( $false
| ~ spl17_3
| spl17_12 ),
inference(subsumption_resolution,[],[f167,f58]) ).
thf(f58,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl17_3
<=> ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
thf(f167,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| spl17_12 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f166,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| ( $true != $true )
| spl17_12 ),
inference(superposition,[],[f155,f28]) ).
thf(f28,plain,
! [X2: b > a,X3: a > a > a,X0: g > $o,X1: g > b,X4: g > g > g] :
( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: g > $o,X1: g > b,X2: b > a,X3: a > a > a,X4: g > g > g] :
( ( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ ( X1 @ ( X4 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true ) )
| ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f17,f18]) ).
thf(f18,plain,
! [X0: g > $o,X1: g > b,X2: b > a,X3: a > a > a,X4: g > g > g] :
( ? [X5: g,X6: g] :
( ( ( X0 @ X5 )
= $true )
& ( $true
= ( X0 @ X6 ) )
& ( $true
= ( X0 @ X6 ) )
& ( ( X2 @ ( X1 @ ( X4 @ X5 @ X6 ) ) )
!= ( X3 @ ( X2 @ ( X1 @ X5 ) ) @ ( X2 @ ( X1 @ X6 ) ) ) )
& ( ( X0 @ X5 )
= $true ) )
=> ( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ ( X1 @ ( X4 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
! [X0: g > $o,X1: g > b,X2: b > a,X3: a > a > a,X4: g > g > g] :
( ? [X5: g,X6: g] :
( ( ( X0 @ X5 )
= $true )
& ( $true
= ( X0 @ X6 ) )
& ( $true
= ( X0 @ X6 ) )
& ( ( X2 @ ( X1 @ ( X4 @ X5 @ X6 ) ) )
!= ( X3 @ ( X2 @ ( X1 @ X5 ) ) @ ( X2 @ ( X1 @ X6 ) ) ) )
& ( ( X0 @ X5 )
= $true ) )
| ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f16]) ).
thf(f16,plain,
! [X5: g > $o,X3: g > b,X0: b > a,X4: a > a > a,X2: g > g > g] :
( ? [X23: g,X24: g] :
( ( ( X5 @ X23 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X0 @ ( X3 @ ( X2 @ X23 @ X24 ) ) )
!= ( X4 @ ( X0 @ ( X3 @ X23 ) ) @ ( X0 @ ( X3 @ X24 ) ) ) )
& ( ( X5 @ X23 )
= $true ) )
| ( $true
!= ( sP0 @ X2 @ X4 @ X0 @ X3 @ X5 ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X5: g > $o,X3: g > b,X0: b > a,X4: a > a > a,X2: g > g > g] :
( ? [X23: g,X24: g] :
( ( ( X5 @ X23 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X0 @ ( X3 @ ( X2 @ X23 @ X24 ) ) )
!= ( X4 @ ( X0 @ ( X3 @ X23 ) ) @ ( X0 @ ( X3 @ X24 ) ) ) )
& ( ( X5 @ X23 )
= $true ) )
| ( $true
!= ( sP0 @ X2 @ X4 @ X0 @ X3 @ X5 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f155,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
| spl17_12 ),
inference(avatar_component_clause,[],[f153]) ).
thf(f153,plain,
( spl17_12
<=> ( $true
= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
thf(f164,plain,
( ~ spl17_3
| spl17_11 ),
inference(avatar_contradiction_clause,[],[f163]) ).
thf(f163,plain,
( $false
| ~ spl17_3
| spl17_11 ),
inference(subsumption_resolution,[],[f159,f58]) ).
thf(f159,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| spl17_11 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f157,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| ( $true != $true )
| spl17_11 ),
inference(superposition,[],[f151,f30]) ).
thf(f30,plain,
! [X2: b > a,X3: a > a > a,X0: g > $o,X1: g > b,X4: g > g > g] :
( ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f151,plain,
( ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
!= $true )
| spl17_11 ),
inference(avatar_component_clause,[],[f149]) ).
thf(f149,plain,
( spl17_11
<=> ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
thf(f156,plain,
( ~ spl17_11
| ~ spl17_12
| spl17_9 ),
inference(avatar_split_clause,[],[f147,f106,f153,f149]) ).
thf(f106,plain,
( spl17_9
<=> ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
= ( sK13 @ ( sK6 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
thf(f147,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
| ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
!= $true )
| spl17_9 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f146,plain,
( ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| ( $true
!= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
| ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
!= $true )
| spl17_9 ),
inference(superposition,[],[f108,f42]) ).
thf(f42,plain,
! [X14: g,X15: g] :
( ( ( sK6 @ ( sK10 @ X14 ) @ ( sK10 @ X15 ) )
= ( sK10 @ ( sK11 @ X14 @ X15 ) ) )
| ( ( sK7 @ X15 )
!= $true )
| ( ( sK7 @ X14 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( ! [X8: a,X9: a] :
( ( $true
!= ( sK12 @ X9 ) )
| ( ( sK12 @ ( sK9 @ X9 @ X8 ) )
= $true )
| ( ( sK12 @ X8 )
!= $true ) )
& ! [X10: b,X11: b] :
( ( ( sK8 @ X11 )
!= $true )
| ( ( sK8 @ X10 )
!= $true )
| ( ( sK9 @ ( sK13 @ X10 ) @ ( sK13 @ X11 ) )
= ( sK13 @ ( sK6 @ X10 @ X11 ) ) ) )
& ! [X12: g] :
( ( ( sK7 @ X12 )
!= $true )
| ( $true
= ( sK8 @ ( sK10 @ X12 ) ) ) )
& ! [X13: g] :
( ( ( sK8 @ ( sK10 @ X13 ) )
= $true )
| ( ( sK7 @ X13 )
!= $true ) )
& ! [X14: g,X15: g] :
( ( ( sK6 @ ( sK10 @ X14 ) @ ( sK10 @ X15 ) )
= ( sK10 @ ( sK11 @ X14 @ X15 ) ) )
| ( ( sK7 @ X15 )
!= $true )
| ( ( sK7 @ X14 )
!= $true ) )
& ! [X16: b] :
( ( $true
= ( sK12 @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK8 @ X16 ) ) )
& ! [X17: g,X18: g] :
( ( $true
= ( sK7 @ ( sK11 @ X17 @ X18 ) ) )
| ( $true
!= ( sK7 @ X17 ) )
| ( ( sK7 @ X18 )
!= $true ) )
& ( ( ( ( sK7 @ sK14 )
= $true )
& ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true ) )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ( ( ( sK12 @ sK15 )
= $true )
& ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
!= $true )
& ( $true
= ( sK12 @ sK16 ) ) )
| ( $true
= ( sP1 @ sK11 @ sK7 ) ) )
& ! [X22: g] :
( ( ( sK8 @ ( sK10 @ X22 ) )
= $true )
| ( ( sK7 @ X22 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f20,f23,f22,f21]) ).
thf(f21,plain,
( ? [X0: b > b > b,X1: g > $o,X2: b > $o,X3: a > a > a,X4: g > b,X5: g > g > g,X6: a > $o,X7: b > a] :
( ! [X8: a,X9: a] :
( ( $true
!= ( X6 @ X9 ) )
| ( $true
= ( X6 @ ( X3 @ X9 @ X8 ) ) )
| ( $true
!= ( X6 @ X8 ) ) )
& ! [X10: b,X11: b] :
( ( $true
!= ( X2 @ X11 ) )
| ( ( X2 @ X10 )
!= $true )
| ( ( X7 @ ( X0 @ X10 @ X11 ) )
= ( X3 @ ( X7 @ X10 ) @ ( X7 @ X11 ) ) ) )
& ! [X12: g] :
( ( $true
!= ( X1 @ X12 ) )
| ( $true
= ( X2 @ ( X4 @ X12 ) ) ) )
& ! [X13: g] :
( ( ( X2 @ ( X4 @ X13 ) )
= $true )
| ( ( X1 @ X13 )
!= $true ) )
& ! [X14: g,X15: g] :
( ( ( X4 @ ( X5 @ X14 @ X15 ) )
= ( X0 @ ( X4 @ X14 ) @ ( X4 @ X15 ) ) )
| ( ( X1 @ X15 )
!= $true )
| ( ( X1 @ X14 )
!= $true ) )
& ! [X16: b] :
( ( $true
= ( X6 @ ( X7 @ X16 ) ) )
| ( ( X2 @ X16 )
!= $true ) )
& ! [X17: g,X18: g] :
( ( ( X1 @ ( X5 @ X17 @ X18 ) )
= $true )
| ( $true
!= ( X1 @ X17 ) )
| ( ( X1 @ X18 )
!= $true ) )
& ( ? [X19: g] :
( ( ( X1 @ X19 )
= $true )
& ( $true
!= ( X6 @ ( X7 @ ( X4 @ X19 ) ) ) ) )
| ( $true
= ( sP0 @ X5 @ X3 @ X7 @ X4 @ X1 ) )
| ? [X20: a,X21: a] :
( ( $true
= ( X6 @ X20 ) )
& ( $true
!= ( X6 @ ( X3 @ X20 @ X21 ) ) )
& ( ( X6 @ X21 )
= $true ) )
| ( ( sP1 @ X5 @ X1 )
= $true ) )
& ! [X22: g] :
( ( $true
= ( X2 @ ( X4 @ X22 ) ) )
| ( $true
!= ( X1 @ X22 ) ) ) )
=> ( ! [X9: a,X8: a] :
( ( $true
!= ( sK12 @ X9 ) )
| ( ( sK12 @ ( sK9 @ X9 @ X8 ) )
= $true )
| ( ( sK12 @ X8 )
!= $true ) )
& ! [X11: b,X10: b] :
( ( ( sK8 @ X11 )
!= $true )
| ( ( sK8 @ X10 )
!= $true )
| ( ( sK9 @ ( sK13 @ X10 ) @ ( sK13 @ X11 ) )
= ( sK13 @ ( sK6 @ X10 @ X11 ) ) ) )
& ! [X12: g] :
( ( ( sK7 @ X12 )
!= $true )
| ( $true
= ( sK8 @ ( sK10 @ X12 ) ) ) )
& ! [X13: g] :
( ( ( sK8 @ ( sK10 @ X13 ) )
= $true )
| ( ( sK7 @ X13 )
!= $true ) )
& ! [X15: g,X14: g] :
( ( ( sK6 @ ( sK10 @ X14 ) @ ( sK10 @ X15 ) )
= ( sK10 @ ( sK11 @ X14 @ X15 ) ) )
| ( ( sK7 @ X15 )
!= $true )
| ( ( sK7 @ X14 )
!= $true ) )
& ! [X16: b] :
( ( $true
= ( sK12 @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK8 @ X16 ) ) )
& ! [X18: g,X17: g] :
( ( $true
= ( sK7 @ ( sK11 @ X17 @ X18 ) ) )
| ( $true
!= ( sK7 @ X17 ) )
| ( ( sK7 @ X18 )
!= $true ) )
& ( ? [X19: g] :
( ( $true
= ( sK7 @ X19 ) )
& ( ( sK12 @ ( sK13 @ ( sK10 @ X19 ) ) )
!= $true ) )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ? [X21: a,X20: a] :
( ( ( sK12 @ X20 )
= $true )
& ( ( sK12 @ ( sK9 @ X20 @ X21 ) )
!= $true )
& ( $true
= ( sK12 @ X21 ) ) )
| ( $true
= ( sP1 @ sK11 @ sK7 ) ) )
& ! [X22: g] :
( ( ( sK8 @ ( sK10 @ X22 ) )
= $true )
| ( ( sK7 @ X22 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X19: g] :
( ( $true
= ( sK7 @ X19 ) )
& ( ( sK12 @ ( sK13 @ ( sK10 @ X19 ) ) )
!= $true ) )
=> ( ( ( sK7 @ sK14 )
= $true )
& ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
( ? [X21: a,X20: a] :
( ( ( sK12 @ X20 )
= $true )
& ( ( sK12 @ ( sK9 @ X20 @ X21 ) )
!= $true )
& ( $true
= ( sK12 @ X21 ) ) )
=> ( ( ( sK12 @ sK15 )
= $true )
& ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
!= $true )
& ( $true
= ( sK12 @ sK16 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f20,plain,
? [X0: b > b > b,X1: g > $o,X2: b > $o,X3: a > a > a,X4: g > b,X5: g > g > g,X6: a > $o,X7: b > a] :
( ! [X8: a,X9: a] :
( ( $true
!= ( X6 @ X9 ) )
| ( $true
= ( X6 @ ( X3 @ X9 @ X8 ) ) )
| ( $true
!= ( X6 @ X8 ) ) )
& ! [X10: b,X11: b] :
( ( $true
!= ( X2 @ X11 ) )
| ( ( X2 @ X10 )
!= $true )
| ( ( X7 @ ( X0 @ X10 @ X11 ) )
= ( X3 @ ( X7 @ X10 ) @ ( X7 @ X11 ) ) ) )
& ! [X12: g] :
( ( $true
!= ( X1 @ X12 ) )
| ( $true
= ( X2 @ ( X4 @ X12 ) ) ) )
& ! [X13: g] :
( ( ( X2 @ ( X4 @ X13 ) )
= $true )
| ( ( X1 @ X13 )
!= $true ) )
& ! [X14: g,X15: g] :
( ( ( X4 @ ( X5 @ X14 @ X15 ) )
= ( X0 @ ( X4 @ X14 ) @ ( X4 @ X15 ) ) )
| ( ( X1 @ X15 )
!= $true )
| ( ( X1 @ X14 )
!= $true ) )
& ! [X16: b] :
( ( $true
= ( X6 @ ( X7 @ X16 ) ) )
| ( ( X2 @ X16 )
!= $true ) )
& ! [X17: g,X18: g] :
( ( ( X1 @ ( X5 @ X17 @ X18 ) )
= $true )
| ( $true
!= ( X1 @ X17 ) )
| ( ( X1 @ X18 )
!= $true ) )
& ( ? [X19: g] :
( ( ( X1 @ X19 )
= $true )
& ( $true
!= ( X6 @ ( X7 @ ( X4 @ X19 ) ) ) ) )
| ( $true
= ( sP0 @ X5 @ X3 @ X7 @ X4 @ X1 ) )
| ? [X20: a,X21: a] :
( ( $true
= ( X6 @ X20 ) )
& ( $true
!= ( X6 @ ( X3 @ X20 @ X21 ) ) )
& ( ( X6 @ X21 )
= $true ) )
| ( ( sP1 @ X5 @ X1 )
= $true ) )
& ! [X22: g] :
( ( $true
= ( X2 @ ( X4 @ X22 ) ) )
| ( $true
!= ( X1 @ X22 ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
? [X6: b > b > b,X5: g > $o,X7: b > $o,X4: a > a > a,X3: g > b,X2: g > g > g,X1: a > $o,X0: b > a] :
( ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( $true
= ( X1 @ ( X4 @ X19 @ X18 ) ) )
| ( $true
!= ( X1 @ X18 ) ) )
& ! [X8: b,X9: b] :
( ( $true
!= ( X7 @ X9 ) )
| ( ( X7 @ X8 )
!= $true )
| ( ( X0 @ ( X6 @ X8 @ X9 ) )
= ( X4 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X14: g] :
( ( ( X5 @ X14 )
!= $true )
| ( ( X7 @ ( X3 @ X14 ) )
= $true ) )
& ! [X17: g] :
( ( $true
= ( X7 @ ( X3 @ X17 ) ) )
| ( ( X5 @ X17 )
!= $true ) )
& ! [X12: g,X13: g] :
( ( ( X3 @ ( X2 @ X12 @ X13 ) )
= ( X6 @ ( X3 @ X12 ) @ ( X3 @ X13 ) ) )
| ( ( X5 @ X13 )
!= $true )
| ( ( X5 @ X12 )
!= $true ) )
& ! [X10: b] :
( ( ( X1 @ ( X0 @ X10 ) )
= $true )
| ( ( X7 @ X10 )
!= $true ) )
& ! [X15: g,X16: g] :
( ( ( X5 @ ( X2 @ X15 @ X16 ) )
= $true )
| ( $true
!= ( X5 @ X15 ) )
| ( ( X5 @ X16 )
!= $true ) )
& ( ? [X20: g] :
( ( $true
= ( X5 @ X20 ) )
& ( ( X1 @ ( X0 @ ( X3 @ X20 ) ) )
!= $true ) )
| ( $true
= ( sP0 @ X2 @ X4 @ X0 @ X3 @ X5 ) )
| ? [X25: a,X26: a] :
( ( ( X1 @ X25 )
= $true )
& ( $true
!= ( X1 @ ( X4 @ X25 @ X26 ) ) )
& ( ( X1 @ X26 )
= $true ) )
| ( $true
= ( sP1 @ X2 @ X5 ) ) )
& ! [X11: g] :
( ( ( X7 @ ( X3 @ X11 ) )
= $true )
| ( $true
!= ( X5 @ X11 ) ) ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
thf(f10,plain,
! [X5: g > $o,X2: g > g > g] :
( ? [X22: g,X21: g] :
( ( ( X5 @ X22 )
= $true )
& ( ( X5 @ X21 )
= $true )
& ( ( X5 @ ( X2 @ X22 @ X21 ) )
!= $true ) )
| ( $true
!= ( sP1 @ X2 @ X5 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f8,plain,
? [X6: b > b > b,X5: g > $o,X7: b > $o,X4: a > a > a,X3: g > b,X2: g > g > g,X1: a > $o,X0: b > a] :
( ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( $true
= ( X1 @ ( X4 @ X19 @ X18 ) ) )
| ( $true
!= ( X1 @ X18 ) ) )
& ! [X8: b,X9: b] :
( ( $true
!= ( X7 @ X9 ) )
| ( ( X7 @ X8 )
!= $true )
| ( ( X0 @ ( X6 @ X8 @ X9 ) )
= ( X4 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X14: g] :
( ( ( X5 @ X14 )
!= $true )
| ( ( X7 @ ( X3 @ X14 ) )
= $true ) )
& ! [X17: g] :
( ( $true
= ( X7 @ ( X3 @ X17 ) ) )
| ( ( X5 @ X17 )
!= $true ) )
& ! [X12: g,X13: g] :
( ( ( X3 @ ( X2 @ X12 @ X13 ) )
= ( X6 @ ( X3 @ X12 ) @ ( X3 @ X13 ) ) )
| ( ( X5 @ X13 )
!= $true )
| ( ( X5 @ X12 )
!= $true ) )
& ! [X10: b] :
( ( ( X1 @ ( X0 @ X10 ) )
= $true )
| ( ( X7 @ X10 )
!= $true ) )
& ! [X15: g,X16: g] :
( ( ( X5 @ ( X2 @ X15 @ X16 ) )
= $true )
| ( $true
!= ( X5 @ X15 ) )
| ( ( X5 @ X16 )
!= $true ) )
& ( ? [X20: g] :
( ( $true
= ( X5 @ X20 ) )
& ( ( X1 @ ( X0 @ ( X3 @ X20 ) ) )
!= $true ) )
| ? [X23: g,X24: g] :
( ( ( X5 @ X23 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X0 @ ( X3 @ ( X2 @ X23 @ X24 ) ) )
!= ( X4 @ ( X0 @ ( X3 @ X23 ) ) @ ( X0 @ ( X3 @ X24 ) ) ) )
& ( ( X5 @ X23 )
= $true ) )
| ? [X25: a,X26: a] :
( ( ( X1 @ X25 )
= $true )
& ( $true
!= ( X1 @ ( X4 @ X25 @ X26 ) ) )
& ( ( X1 @ X26 )
= $true ) )
| ? [X22: g,X21: g] :
( ( ( X5 @ X22 )
= $true )
& ( ( X5 @ X21 )
= $true )
& ( ( X5 @ ( X2 @ X22 @ X21 ) )
!= $true ) ) )
& ! [X11: g] :
( ( ( X7 @ ( X3 @ X11 ) )
= $true )
| ( $true
!= ( X5 @ X11 ) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X6: b > b > b,X5: g > $o,X7: b > $o,X0: b > a,X4: a > a > a,X2: g > g > g,X1: a > $o,X3: g > b] :
( ( ? [X20: g] :
( ( $true
= ( X5 @ X20 ) )
& ( ( X1 @ ( X0 @ ( X3 @ X20 ) ) )
!= $true ) )
| ? [X21: g,X22: g] :
( ( ( X5 @ ( X2 @ X22 @ X21 ) )
!= $true )
& ( ( X5 @ X22 )
= $true )
& ( ( X5 @ X21 )
= $true ) )
| ? [X25: a,X26: a] :
( ( $true
!= ( X1 @ ( X4 @ X25 @ X26 ) ) )
& ( ( X1 @ X25 )
= $true )
& ( ( X1 @ X26 )
= $true ) )
| ? [X23: g,X24: g] :
( ( ( X0 @ ( X3 @ ( X2 @ X23 @ X24 ) ) )
!= ( X4 @ ( X0 @ ( X3 @ X23 ) ) @ ( X0 @ ( X3 @ X24 ) ) ) )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X23 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X23 )
= $true ) ) )
& ! [X18: a,X19: a] :
( ( $true
= ( X1 @ ( X4 @ X19 @ X18 ) ) )
| ( ( X1 @ X19 )
!= $true )
| ( $true
!= ( X1 @ X18 ) ) )
& ! [X15: g,X16: g] :
( ( ( X5 @ ( X2 @ X15 @ X16 ) )
= $true )
| ( $true
!= ( X5 @ X15 ) )
| ( ( X5 @ X16 )
!= $true ) )
& ! [X9: b,X8: b] :
( ( ( X0 @ ( X6 @ X8 @ X9 ) )
= ( X4 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) )
| ( $true
!= ( X7 @ X9 ) )
| ( ( X7 @ X8 )
!= $true ) )
& ! [X10: b] :
( ( ( X1 @ ( X0 @ X10 ) )
= $true )
| ( ( X7 @ X10 )
!= $true ) )
& ! [X14: g] :
( ( ( X5 @ X14 )
!= $true )
| ( ( X7 @ ( X3 @ X14 ) )
= $true ) )
& ! [X17: g] :
( ( $true
= ( X7 @ ( X3 @ X17 ) ) )
| ( ( X5 @ X17 )
!= $true ) )
& ! [X12: g,X13: g] :
( ( ( X3 @ ( X2 @ X12 @ X13 ) )
= ( X6 @ ( X3 @ X12 ) @ ( X3 @ X13 ) ) )
| ( ( X5 @ X12 )
!= $true )
| ( ( X5 @ X13 )
!= $true ) )
& ! [X11: g] :
( ( ( X7 @ ( X3 @ X11 ) )
= $true )
| ( $true
!= ( X5 @ X11 ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X6: b > b > b,X5: g > $o,X7: b > $o,X0: b > a,X4: a > a > a,X2: g > g > g,X1: a > $o,X3: g > b] :
( ( ! [X18: a,X19: a] :
( ( ( ( X1 @ X19 )
= $true )
& ( $true
= ( X1 @ X18 ) ) )
=> ( $true
= ( X1 @ ( X4 @ X19 @ X18 ) ) ) )
& ! [X15: g,X16: g] :
( ( ( $true
= ( X5 @ X15 ) )
& ( ( X5 @ X16 )
= $true ) )
=> ( ( X5 @ ( X2 @ X15 @ X16 ) )
= $true ) )
& ! [X9: b,X8: b] :
( ( ( $true
= ( X7 @ X9 ) )
& ( ( X7 @ X8 )
= $true ) )
=> ( ( X0 @ ( X6 @ X8 @ X9 ) )
= ( X4 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) )
& ! [X10: b] :
( ( ( X7 @ X10 )
= $true )
=> ( ( X1 @ ( X0 @ X10 ) )
= $true ) )
& ! [X14: g] :
( ( ( X5 @ X14 )
= $true )
=> ( ( X7 @ ( X3 @ X14 ) )
= $true ) )
& ! [X17: g] :
( ( ( X5 @ X17 )
= $true )
=> ( $true
= ( X7 @ ( X3 @ X17 ) ) ) )
& ! [X12: g,X13: g] :
( ( ( ( X5 @ X12 )
= $true )
& ( ( X5 @ X13 )
= $true ) )
=> ( ( X3 @ ( X2 @ X12 @ X13 ) )
= ( X6 @ ( X3 @ X12 ) @ ( X3 @ X13 ) ) ) )
& ! [X11: g] :
( ( $true
= ( X5 @ X11 ) )
=> ( ( X7 @ ( X3 @ X11 ) )
= $true ) ) )
=> ( ! [X20: g] :
( ( $true
= ( X5 @ X20 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X20 ) ) )
= $true ) )
& ! [X21: g,X22: g] :
( ( ( ( X5 @ X22 )
= $true )
& ( ( X5 @ X21 )
= $true ) )
=> ( ( X5 @ ( X2 @ X22 @ X21 ) )
= $true ) )
& ! [X25: a,X26: a] :
( ( ( ( X1 @ X25 )
= $true )
& ( ( X1 @ X26 )
= $true ) )
=> ( $true
= ( X1 @ ( X4 @ X25 @ X26 ) ) ) )
& ! [X23: g,X24: g] :
( ( ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X23 )
= $true )
& ( ( X5 @ X24 )
= $true )
& ( ( X5 @ X23 )
= $true ) )
=> ( ( X0 @ ( X3 @ ( X2 @ X23 @ X24 ) ) )
= ( X4 @ ( X0 @ ( X3 @ X23 ) ) @ ( X0 @ ( X3 @ X24 ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: b > a,X1: a > $o,X3: g > g > g,X4: g > b,X5: a > a > a,X7: g > $o,X12: b > b > b,X13: b > $o] :
( ( ! [X14: b,X15: b] :
( ( ( ( X13 @ X14 )
= $true )
& ( ( X13 @ X15 )
= $true ) )
=> ( ( X0 @ ( X12 @ X14 @ X15 ) )
= ( X5 @ ( X0 @ X14 ) @ ( X0 @ X15 ) ) ) )
& ! [X16: b] :
( ( ( X13 @ X16 )
= $true )
=> ( ( X1 @ ( X0 @ X16 ) )
= $true ) )
& ! [X17: g] :
( ( $true
= ( X7 @ X17 ) )
=> ( $true
= ( X13 @ ( X4 @ X17 ) ) ) )
& ! [X18: g,X19: g] :
( ( ( ( X7 @ X18 )
= $true )
& ( ( X7 @ X19 )
= $true ) )
=> ( ( X12 @ ( X4 @ X18 ) @ ( X4 @ X19 ) )
= ( X4 @ ( X3 @ X18 @ X19 ) ) ) )
& ! [X20: g] :
( ( $true
= ( X7 @ X20 ) )
=> ( $true
= ( X13 @ ( X4 @ X20 ) ) ) )
& ! [X21: g,X22: g] :
( ( ( $true
= ( X7 @ X21 ) )
& ( ( X7 @ X22 )
= $true ) )
=> ( ( X7 @ ( X3 @ X21 @ X22 ) )
= $true ) )
& ! [X23: g] :
( ( ( X7 @ X23 )
= $true )
=> ( ( X13 @ ( X4 @ X23 ) )
= $true ) )
& ! [X24: a,X25: a] :
( ( ( ( X1 @ X25 )
= $true )
& ( ( X1 @ X24 )
= $true ) )
=> ( ( X1 @ ( X5 @ X25 @ X24 ) )
= $true ) ) )
=> ( ! [X26: g] :
( ( ( X7 @ X26 )
= $true )
=> ( $true
= ( X1 @ ( X0 @ ( X4 @ X26 ) ) ) ) )
& ! [X27: g,X28: g] :
( ( ( $true
= ( X7 @ X28 ) )
& ( ( X7 @ X27 )
= $true ) )
=> ( ( X7 @ ( X3 @ X28 @ X27 ) )
= $true ) )
& ! [X29: g,X30: g] :
( ( ( ( X7 @ X30 )
= $true )
& ( ( X7 @ X30 )
= $true )
& ( ( X7 @ X29 )
= $true )
& ( ( X7 @ X29 )
= $true ) )
=> ( ( X0 @ ( X4 @ ( X3 @ X29 @ X30 ) ) )
= ( X5 @ ( X0 @ ( X4 @ X29 ) ) @ ( X0 @ ( X4 @ X30 ) ) ) ) )
& ! [X31: a,X32: a] :
( ( ( ( X1 @ X31 )
= $true )
& ( ( X1 @ X32 )
= $true ) )
=> ( ( X1 @ ( X5 @ X31 @ X32 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: b > a,X1: a > $o,X3: g > g > g,X4: g > b,X5: a > a > a,X7: g > $o,X12: b > b > b,X13: b > $o] :
( ( ! [X14: b,X15: b] :
( ( ( X13 @ X14 )
& ( X13 @ X15 ) )
=> ( ( X0 @ ( X12 @ X14 @ X15 ) )
= ( X5 @ ( X0 @ X14 ) @ ( X0 @ X15 ) ) ) )
& ! [X16: b] :
( ( X13 @ X16 )
=> ( X1 @ ( X0 @ X16 ) ) )
& ! [X17: g] :
( ( X7 @ X17 )
=> ( X13 @ ( X4 @ X17 ) ) )
& ! [X18: g,X19: g] :
( ( ( X7 @ X18 )
& ( X7 @ X19 ) )
=> ( ( X12 @ ( X4 @ X18 ) @ ( X4 @ X19 ) )
= ( X4 @ ( X3 @ X18 @ X19 ) ) ) )
& ! [X20: g] :
( ( X7 @ X20 )
=> ( X13 @ ( X4 @ X20 ) ) )
& ! [X21: g,X22: g] :
( ( ( X7 @ X21 )
& ( X7 @ X22 ) )
=> ( X7 @ ( X3 @ X21 @ X22 ) ) )
& ! [X23: g] :
( ( X7 @ X23 )
=> ( X13 @ ( X4 @ X23 ) ) )
& ! [X24: a,X25: a] :
( ( ( X1 @ X25 )
& ( X1 @ X24 ) )
=> ( X1 @ ( X5 @ X25 @ X24 ) ) ) )
=> ( ! [X26: g] :
( ( X7 @ X26 )
=> ( X1 @ ( X0 @ ( X4 @ X26 ) ) ) )
& ! [X27: g,X28: g] :
( ( ( X7 @ X28 )
& ( X7 @ X27 ) )
=> ( X7 @ ( X3 @ X28 @ X27 ) ) )
& ! [X29: g,X30: g] :
( ( ( X7 @ X30 )
& ( X7 @ X30 )
& ( X7 @ X29 )
& ( X7 @ X29 ) )
=> ( ( X0 @ ( X4 @ ( X3 @ X29 @ X30 ) ) )
= ( X5 @ ( X0 @ ( X4 @ X29 ) ) @ ( X0 @ ( X4 @ X30 ) ) ) ) )
& ! [X31: a,X32: a] :
( ( ( X1 @ X31 )
& ( X1 @ X32 ) )
=> ( X1 @ ( X5 @ X31 @ X32 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X7: b > a,X12: a > $o,X0: g > b,X9: g > g > g,X6: g > b,X13: a > a > a,X2: g > $o,X8: g > $o,X4: b > $o,X1: b > a,X5: b > b > b,X3: g > g > g,X11: b > b > b,X10: b > $o] :
( ( ! [X14: b,X15: b] :
( ( ( X10 @ X14 )
& ( X10 @ X15 ) )
=> ( ( X7 @ ( X11 @ X14 @ X15 ) )
= ( X13 @ ( X7 @ X14 ) @ ( X7 @ X15 ) ) ) )
& ! [X14: b] :
( ( X10 @ X14 )
=> ( X12 @ ( X7 @ X14 ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( ( X6 @ ( X9 @ X14 @ X15 ) )
= ( X11 @ ( X6 @ X14 ) @ ( X6 @ X15 ) ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( X8 @ ( X9 @ X14 @ X15 ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X15: a,X14: a] :
( ( ( X12 @ X14 )
& ( X12 @ X15 ) )
=> ( X12 @ ( X13 @ X14 @ X15 ) ) ) )
=> ( ! [X14: g] :
( ( X8 @ X14 )
=> ( X12 @ ( X7 @ ( X6 @ X14 ) ) ) )
& ! [X15: g,X14: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( X8 @ ( X9 @ X14 @ X15 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X15 )
& ( X8 @ X15 )
& ( X8 @ X14 )
& ( X8 @ X14 ) )
=> ( ( X7 @ ( X6 @ ( X9 @ X14 @ X15 ) ) )
= ( X13 @ ( X7 @ ( X6 @ X14 ) ) @ ( X7 @ ( X6 @ X15 ) ) ) ) )
& ! [X14: a,X15: a] :
( ( ( X12 @ X14 )
& ( X12 @ X15 ) )
=> ( X12 @ ( X13 @ X14 @ X15 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X7: b > a,X12: a > $o,X0: g > b,X9: g > g > g,X6: g > b,X13: a > a > a,X2: g > $o,X8: g > $o,X4: b > $o,X1: b > a,X5: b > b > b,X3: g > g > g,X11: b > b > b,X10: b > $o] :
( ( ! [X14: b,X15: b] :
( ( ( X10 @ X14 )
& ( X10 @ X15 ) )
=> ( ( X7 @ ( X11 @ X14 @ X15 ) )
= ( X13 @ ( X7 @ X14 ) @ ( X7 @ X15 ) ) ) )
& ! [X14: b] :
( ( X10 @ X14 )
=> ( X12 @ ( X7 @ X14 ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( ( X6 @ ( X9 @ X14 @ X15 ) )
= ( X11 @ ( X6 @ X14 ) @ ( X6 @ X15 ) ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( X8 @ ( X9 @ X14 @ X15 ) ) )
& ! [X14: g] :
( ( X8 @ X14 )
=> ( X10 @ ( X6 @ X14 ) ) )
& ! [X15: a,X14: a] :
( ( ( X12 @ X14 )
& ( X12 @ X15 ) )
=> ( X12 @ ( X13 @ X14 @ X15 ) ) ) )
=> ( ! [X14: g] :
( ( X8 @ X14 )
=> ( X12 @ ( X7 @ ( X6 @ X14 ) ) ) )
& ! [X15: g,X14: g] :
( ( ( X8 @ X14 )
& ( X8 @ X15 ) )
=> ( X8 @ ( X9 @ X14 @ X15 ) ) )
& ! [X14: g,X15: g] :
( ( ( X8 @ X15 )
& ( X8 @ X15 )
& ( X8 @ X14 )
& ( X8 @ X14 ) )
=> ( ( X7 @ ( X6 @ ( X9 @ X14 @ X15 ) ) )
= ( X13 @ ( X7 @ ( X6 @ X14 ) ) @ ( X7 @ ( X6 @ X15 ) ) ) ) )
& ! [X14: a,X15: a] :
( ( ( X12 @ X14 )
& ( X12 @ X15 ) )
=> ( X12 @ ( X13 @ X14 @ X15 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126_CORRECTED_pme) ).
thf(f108,plain,
( ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK13 @ ( sK6 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| spl17_9 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f145,plain,
( ~ spl17_9
| ~ spl17_10
| ~ spl17_3
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f144,f102,f56,f110,f106]) ).
thf(f110,plain,
( spl17_10
<=> ( ( sK8 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
thf(f102,plain,
( spl17_8
<=> ( ( sK8 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
thf(f144,plain,
( ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK13 @ ( sK6 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| ( ( sK8 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
!= $true )
| ~ spl17_3
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f133,f103]) ).
thf(f103,plain,
( ( ( sK8 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
= $true )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f133,plain,
( ( ( sK8 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
!= $true )
| ( ( sK8 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
!= $true )
| ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK13 @ ( sK6 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| ~ spl17_3 ),
inference(superposition,[],[f132,f45]) ).
thf(f45,plain,
! [X10: b,X11: b] :
( ( ( sK9 @ ( sK13 @ X10 ) @ ( sK13 @ X11 ) )
= ( sK13 @ ( sK6 @ X10 @ X11 ) ) )
| ( ( sK8 @ X10 )
!= $true )
| ( ( sK8 @ X11 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f132,plain,
( ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK9 @ ( sK13 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) @ ( sK13 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| ~ spl17_3 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f131,plain,
( ( $true != $true )
| ( ( sK13 @ ( sK10 @ ( sK11 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) )
!= ( sK9 @ ( sK13 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) @ ( sK13 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) ) ) )
| ~ spl17_3 ),
inference(superposition,[],[f29,f58]) ).
thf(f29,plain,
! [X2: b > a,X3: a > a > a,X0: g > $o,X1: g > b,X4: g > g > g] :
( ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true )
| ( ( X2 @ ( X1 @ ( X4 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X3 @ ( X2 @ ( X1 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f143,plain,
( ~ spl17_3
| spl17_10 ),
inference(avatar_contradiction_clause,[],[f142]) ).
thf(f142,plain,
( $false
| ~ spl17_3
| spl17_10 ),
inference(subsumption_resolution,[],[f138,f58]) ).
thf(f138,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f136,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| ( $true != $true )
| spl17_10 ),
inference(superposition,[],[f135,f30]) ).
thf(f135,plain,
( ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f134,plain,
( ( ( sK7 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) )
!= $true )
| ( $true != $true )
| spl17_10 ),
inference(superposition,[],[f112,f44]) ).
thf(f44,plain,
! [X12: g] :
( ( $true
= ( sK8 @ ( sK10 @ X12 ) ) )
| ( ( sK7 @ X12 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f112,plain,
( ( ( sK8 @ ( sK10 @ ( sK5 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
!= $true )
| spl17_10 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f130,plain,
( ~ spl17_4
| spl17_5
| ~ spl17_6 ),
inference(avatar_contradiction_clause,[],[f129]) ).
thf(f129,plain,
( $false
| ~ spl17_4
| spl17_5
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f128,f72]) ).
thf(f72,plain,
( ( $true
= ( sK12 @ sK16 ) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl17_6
<=> ( $true
= ( sK12 @ sK16 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
thf(f128,plain,
( ( $true
!= ( sK12 @ sK16 ) )
| ~ spl17_4
| spl17_5 ),
inference(subsumption_resolution,[],[f127,f62]) ).
thf(f62,plain,
( ( ( sK12 @ sK15 )
= $true )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl17_4
<=> ( ( sK12 @ sK15 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
thf(f127,plain,
( ( ( sK12 @ sK15 )
!= $true )
| ( $true
!= ( sK12 @ sK16 ) )
| spl17_5 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f126,plain,
( ( ( sK12 @ sK15 )
!= $true )
| ( $true != $true )
| ( $true
!= ( sK12 @ sK16 ) )
| spl17_5 ),
inference(superposition,[],[f67,f46]) ).
thf(f46,plain,
! [X8: a,X9: a] :
( ( ( sK12 @ ( sK9 @ X9 @ X8 ) )
= $true )
| ( ( sK12 @ X8 )
!= $true )
| ( $true
!= ( sK12 @ X9 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f67,plain,
( ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
!= $true )
| spl17_5 ),
inference(avatar_component_clause,[],[f65]) ).
thf(f65,plain,
( spl17_5
<=> ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
thf(f125,plain,
( ~ spl17_3
| spl17_8 ),
inference(avatar_split_clause,[],[f119,f102,f56]) ).
thf(f119,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
!= $true )
| ( $true != $true )
| spl17_8 ),
inference(superposition,[],[f115,f32]) ).
thf(f32,plain,
! [X2: b > a,X3: a > a > a,X0: g > $o,X1: g > b,X4: g > g > g] :
( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f115,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f114,plain,
( ( $true
!= ( sK7 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
| ( $true != $true )
| spl17_8 ),
inference(superposition,[],[f104,f44]) ).
thf(f104,plain,
( ( ( sK8 @ ( sK10 @ ( sK4 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 ) ) )
!= $true )
| spl17_8 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f91,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f90,f48]) ).
thf(f48,plain,
( spl17_1
<=> ( $true
= ( sP1 @ sK11 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
thf(f90,plain,
( $true
!= ( sP1 @ sK11 @ sK7 ) ),
inference(subsumption_resolution,[],[f89,f26]) ).
thf(f26,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: g > $o,X1: g > g > g] :
( ( ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f13,f14]) ).
thf(f14,plain,
! [X0: g > $o,X1: g > g > g] :
( ? [X2: g,X3: g] :
( ( ( X0 @ X2 )
= $true )
& ( ( X0 @ X3 )
= $true )
& ( ( X0 @ ( X1 @ X2 @ X3 ) )
!= $true ) )
=> ( ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( X1 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X0: g > $o,X1: g > g > g] :
( ? [X2: g,X3: g] :
( ( ( X0 @ X2 )
= $true )
& ( ( X0 @ X3 )
= $true )
& ( ( X0 @ ( X1 @ X2 @ X3 ) )
!= $true ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(rectify,[],[f12]) ).
thf(f12,plain,
! [X5: g > $o,X2: g > g > g] :
( ? [X22: g,X21: g] :
( ( ( X5 @ X22 )
= $true )
& ( ( X5 @ X21 )
= $true )
& ( ( X5 @ ( X2 @ X22 @ X21 ) )
!= $true ) )
| ( $true
!= ( sP1 @ X2 @ X5 ) ) ),
inference(nnf_transformation,[],[f10]) ).
thf(f89,plain,
( ( $true
!= ( sP1 @ sK11 @ sK7 ) )
| ( ( sK7 @ ( sK3 @ sK11 @ sK7 ) )
!= $true ) ),
inference(subsumption_resolution,[],[f88,f27]) ).
thf(f27,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
= ( X0 @ ( sK2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f88,plain,
( ( ( sK7 @ ( sK2 @ sK11 @ sK7 ) )
!= $true )
| ( ( sK7 @ ( sK3 @ sK11 @ sK7 ) )
!= $true )
| ( $true
!= ( sP1 @ sK11 @ sK7 ) ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ( ( sK7 @ ( sK3 @ sK11 @ sK7 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( sP1 @ sK11 @ sK7 ) )
| ( ( sK7 @ ( sK2 @ sK11 @ sK7 ) )
!= $true ) ),
inference(superposition,[],[f25,f40]) ).
thf(f40,plain,
! [X18: g,X17: g] :
( ( $true
= ( sK7 @ ( sK11 @ X17 @ X18 ) ) )
| ( ( sK7 @ X18 )
!= $true )
| ( $true
!= ( sK7 @ X17 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f25,plain,
! [X0: g > $o,X1: g > g > g] :
( ( $true
!= ( X0 @ ( X1 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f86,plain,
( ~ spl17_2
| spl17_7 ),
inference(avatar_contradiction_clause,[],[f85]) ).
thf(f85,plain,
( $false
| ~ spl17_2
| spl17_7 ),
inference(subsumption_resolution,[],[f84,f54]) ).
thf(f54,plain,
( ( ( sK7 @ sK14 )
= $true )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl17_2
<=> ( ( sK7 @ sK14 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
thf(f84,plain,
( ( ( sK7 @ sK14 )
!= $true )
| spl17_7 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
( ( ( sK7 @ sK14 )
!= $true )
| ( $true != $true )
| spl17_7 ),
inference(superposition,[],[f82,f44]) ).
thf(f82,plain,
( ( $true
!= ( sK8 @ ( sK10 @ sK14 ) ) )
| spl17_7 ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f81,plain,
( ( $true != $true )
| ( $true
!= ( sK8 @ ( sK10 @ sK14 ) ) )
| spl17_7 ),
inference(superposition,[],[f77,f41]) ).
thf(f41,plain,
! [X16: b] :
( ( $true
= ( sK12 @ ( sK13 @ X16 ) ) )
| ( $true
!= ( sK8 @ X16 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f77,plain,
( ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true )
| spl17_7 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f75,plain,
( spl17_7
<=> ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
thf(f80,plain,
( spl17_3
| ~ spl17_7
| spl17_1
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f35,f65,f48,f75,f56]) ).
thf(f35,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
!= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) )
| ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f79,plain,
( spl17_1
| spl17_4
| spl17_3
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f36,f75,f56,f60,f48]) ).
thf(f36,plain,
( ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ( ( sK12 @ sK15 )
= $true )
| ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f78,plain,
( spl17_3
| spl17_1
| spl17_6
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f34,f75,f70,f48,f56]) ).
thf(f34,plain,
( ( ( sK12 @ ( sK13 @ ( sK10 @ sK14 ) ) )
!= $true )
| ( $true
= ( sK12 @ sK16 ) )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f73,plain,
( spl17_1
| spl17_2
| spl17_6
| spl17_3 ),
inference(avatar_split_clause,[],[f37,f56,f70,f52,f48]) ).
thf(f37,plain,
( ( ( sK7 @ sK14 )
= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) )
| ( $true
= ( sK12 @ sK16 ) )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f68,plain,
( spl17_3
| ~ spl17_5
| spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f38,f52,f48,f65,f56]) ).
thf(f38,plain,
( ( ( sK12 @ ( sK9 @ sK15 @ sK16 ) )
!= $true )
| ( ( sK7 @ sK14 )
= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f63,plain,
( spl17_1
| spl17_2
| spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f39,f60,f56,f52,f48]) ).
thf(f39,plain,
( ( ( sK12 @ sK15 )
= $true )
| ( ( sP0 @ sK11 @ sK9 @ sK13 @ sK10 @ sK7 )
= $true )
| ( ( sK7 @ sK14 )
= $true )
| ( $true
= ( sP1 @ sK11 @ sK7 ) ) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO225^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 08:47:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.37 % (22110)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)
% 0.14/0.37 % (22107)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)
% 0.14/0.37 % (22108)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)
% 0.14/0.37 % (22105)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)
% 0.14/0.37 % (22107)Instruction limit reached!
% 0.14/0.37 % (22107)------------------------------
% 0.14/0.37 % (22107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (22107)Termination reason: Unknown
% 0.14/0.37 % (22107)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (22107)Memory used [KB]: 1023
% 0.14/0.37 % (22107)Time elapsed: 0.003 s
% 0.14/0.37 % (22107)Instructions burned: 2 (million)
% 0.14/0.37 % (22107)------------------------------
% 0.14/0.37 % (22107)------------------------------
% 0.14/0.37 % (22110)Instruction limit reached!
% 0.14/0.37 % (22110)------------------------------
% 0.14/0.37 % (22110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (22110)Termination reason: Unknown
% 0.14/0.37 % (22110)Termination phase: Naming
% 0.14/0.37
% 0.14/0.37 % (22110)Memory used [KB]: 1023
% 0.14/0.37 % (22110)Time elapsed: 0.003 s
% 0.14/0.37 % (22110)Instructions burned: 3 (million)
% 0.14/0.37 % (22110)------------------------------
% 0.14/0.37 % (22110)------------------------------
% 0.14/0.37 % (22106)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (22103)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (22106)Instruction limit reached!
% 0.14/0.37 % (22106)------------------------------
% 0.14/0.37 % (22106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (22106)Termination reason: Unknown
% 0.14/0.37 % (22106)Termination phase: Preprocessing 1
% 0.14/0.37
% 0.14/0.37 % (22106)Memory used [KB]: 1023
% 0.14/0.37 % (22106)Time elapsed: 0.003 s
% 0.14/0.37 % (22106)Instructions burned: 2 (million)
% 0.14/0.37 % (22106)------------------------------
% 0.14/0.37 % (22106)------------------------------
% 0.14/0.37 % (22104)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)
% 0.14/0.38 % (22104)Instruction limit reached!
% 0.14/0.38 % (22104)------------------------------
% 0.14/0.38 % (22104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (22104)Termination reason: Unknown
% 0.14/0.38 % (22104)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (22104)Memory used [KB]: 1023
% 0.14/0.38 % (22104)Time elapsed: 0.003 s
% 0.14/0.38 % (22104)Instructions burned: 5 (million)
% 0.14/0.38 % (22104)------------------------------
% 0.14/0.38 % (22104)------------------------------
% 0.14/0.38 % (22109)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (22112)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)
% 0.14/0.38 % (22108)First to succeed.
% 0.14/0.38 % (22113)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)
% 0.14/0.38 % (22111)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)
% 0.14/0.39 % (22113)Instruction limit reached!
% 0.14/0.39 % (22113)------------------------------
% 0.14/0.39 % (22113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (22113)Termination reason: Unknown
% 0.14/0.39 % (22113)Termination phase: Preprocessing 3
% 0.14/0.39
% 0.14/0.39 % (22113)Memory used [KB]: 1023
% 0.14/0.39 % (22113)Time elapsed: 0.003 s
% 0.14/0.39 % (22113)Instructions burned: 3 (million)
% 0.14/0.39 % (22113)------------------------------
% 0.14/0.39 % (22113)------------------------------
% 0.14/0.39 % (22105)Instruction limit reached!
% 0.14/0.39 % (22105)------------------------------
% 0.14/0.39 % (22105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (22105)Termination reason: Unknown
% 0.14/0.39 % (22105)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (22105)Memory used [KB]: 5756
% 0.14/0.39 % (22105)Time elapsed: 0.020 s
% 0.14/0.39 % (22105)Instructions burned: 27 (million)
% 0.14/0.39 % (22105)------------------------------
% 0.14/0.39 % (22105)------------------------------
% 0.14/0.39 % (22108)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (22108)------------------------------
% 0.14/0.39 % (22108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (22108)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (22108)Memory used [KB]: 5756
% 0.14/0.39 % (22108)Time elapsed: 0.023 s
% 0.14/0.39 % (22108)Instructions burned: 27 (million)
% 0.14/0.39 % (22108)------------------------------
% 0.14/0.39 % (22108)------------------------------
% 0.14/0.39 % (22102)Success in time 0.043 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------