TSTP Solution File: SYO228^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO228^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:03:34 EDT 2024
% Result : Theorem 0.17s 0.34s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 44
% Syntax : Number of formulae : 135 ( 3 unt; 24 typ; 0 def)
% Number of atoms : 1243 ( 452 equ; 0 cnn)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 2432 ( 260 ~; 260 |; 215 &;1628 @)
% ( 12 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 241 ( 241 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 17 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 > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > ( g > $o ) > $o ).
thf(func_def_7,type,
sP1: ( a > $o ) > ( a > a > a ) > $o ).
thf(func_def_8,type,
sK2: ( a > $o ) > ( a > a > a ) > a ).
thf(func_def_9,type,
sK3: ( a > $o ) > ( a > a > a ) > a ).
thf(func_def_10,type,
sK4: ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_11,type,
sK5: ( a > a > a ) > ( b > a ) > ( g > b ) > ( g > g > g ) > ( g > $o ) > g ).
thf(func_def_12,type,
sK6: g > g > g ).
thf(func_def_13,type,
sK7: a > $o ).
thf(func_def_14,type,
sK8: g > $o ).
thf(func_def_15,type,
sK9: b > $o ).
thf(func_def_16,type,
sK10: b > a ).
thf(func_def_17,type,
sK11: a > a > a ).
thf(func_def_18,type,
sK12: g > b ).
thf(func_def_19,type,
sK13: b > b > b ).
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(f171,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f67,f72,f77,f78,f79,f84,f121,f126,f133,f147,f155,f163,f166,f170]) ).
thf(f170,plain,
( spl17_9
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f169]) ).
thf(f169,plain,
( $false
| spl17_9
| ~ spl17_11 ),
inference(subsumption_resolution,[],[f168,f141]) ).
thf(f141,plain,
( ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
= $true )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f140,plain,
( spl17_11
<=> ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
thf(f168,plain,
( ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_9 ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f167,plain,
( ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| ( $true != $true )
| spl17_9 ),
inference(superposition,[],[f104,f43]) ).
thf(f43,plain,
! [X12: g] :
( ( $true
= ( sK9 @ ( sK12 @ X12 ) ) )
| ( $true
!= ( sK8 @ X12 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ! [X8: g,X9: g] :
( ( $true
!= ( sK8 @ X8 ) )
| ( ( sK8 @ X9 )
!= $true )
| ( $true
= ( sK8 @ ( sK6 @ X9 @ X8 ) ) ) )
& ! [X10: b,X11: b] :
( ( ( sK9 @ ( sK13 @ X10 @ X11 ) )
= $true )
| ( ( sK9 @ X11 )
!= $true )
| ( $true
!= ( sK9 @ X10 ) ) )
& ! [X12: g] :
( ( $true
= ( sK9 @ ( sK12 @ X12 ) ) )
| ( $true
!= ( sK8 @ X12 ) ) )
& ! [X13: g,X14: g] :
( ( ( sK13 @ ( sK12 @ X14 ) @ ( sK12 @ X13 ) )
= ( sK12 @ ( sK6 @ X14 @ X13 ) ) )
| ( ( sK8 @ X14 )
!= $true )
| ( ( sK8 @ X13 )
!= $true ) )
& ! [X15: b,X16: b] :
( ( ( sK9 @ X16 )
!= $true )
| ( ( sK9 @ X15 )
!= $true )
| ( ( sK10 @ ( sK13 @ X16 @ X15 ) )
= ( sK11 @ ( sK10 @ X16 ) @ ( sK10 @ X15 ) ) ) )
& ! [X17: b] :
( ( ( sK7 @ ( sK10 @ X17 ) )
= $true )
| ( $true
!= ( sK9 @ X17 ) ) )
& ! [X18: a,X19: a] :
( ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true )
| ( ( sK7 @ ( sK11 @ X18 @ X19 ) )
= $true ) )
& ( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ( ( ( sK8 @ sK14 )
= $true )
& ( $true
!= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) )
& ( ( sK8 @ sK15 )
= $true ) )
| ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true )
& ( ( sK8 @ sK16 )
= $true ) ) )
& ! [X23: b,X24: b] :
( ( ( sK9 @ X24 )
!= $true )
| ( ( sK9 @ ( sK13 @ X24 @ X23 ) )
= $true )
| ( $true
!= ( sK9 @ X23 ) ) ) ),
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: g > g > g,X1: a > $o,X2: g > $o,X3: b > $o,X4: b > a,X5: a > a > a,X6: g > b,X7: b > b > b] :
( ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
!= $true )
| ( ( X2 @ X9 )
!= $true )
| ( $true
= ( X2 @ ( X0 @ X9 @ X8 ) ) ) )
& ! [X10: b,X11: b] :
( ( ( X3 @ ( X7 @ X10 @ X11 ) )
= $true )
| ( ( X3 @ X11 )
!= $true )
| ( ( X3 @ X10 )
!= $true ) )
& ! [X12: g] :
( ( ( X3 @ ( X6 @ X12 ) )
= $true )
| ( ( X2 @ X12 )
!= $true ) )
& ! [X13: g,X14: g] :
( ( ( X7 @ ( X6 @ X14 ) @ ( X6 @ X13 ) )
= ( X6 @ ( X0 @ X14 @ X13 ) ) )
| ( ( X2 @ X14 )
!= $true )
| ( ( X2 @ X13 )
!= $true ) )
& ! [X15: b,X16: b] :
( ( $true
!= ( X3 @ X16 ) )
| ( $true
!= ( X3 @ X15 ) )
| ( ( X5 @ ( X4 @ X16 ) @ ( X4 @ X15 ) )
= ( X4 @ ( X7 @ X16 @ X15 ) ) ) )
& ! [X17: b] :
( ( ( X1 @ ( X4 @ X17 ) )
= $true )
| ( ( X3 @ X17 )
!= $true ) )
& ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( ( X1 @ X18 )
!= $true )
| ( $true
= ( X1 @ ( X5 @ X18 @ X19 ) ) ) )
& ( ( ( sP0 @ X5 @ X4 @ X6 @ X0 @ X2 )
= $true )
| ? [X20: g,X21: g] :
( ( $true
= ( X2 @ X20 ) )
& ( ( X2 @ ( X0 @ X21 @ X20 ) )
!= $true )
& ( $true
= ( X2 @ X21 ) ) )
| ( ( sP1 @ X1 @ X5 )
= $true )
| ? [X22: g] :
( ( ( X1 @ ( X4 @ ( X6 @ X22 ) ) )
!= $true )
& ( $true
= ( X2 @ X22 ) ) ) )
& ! [X23: b,X24: b] :
( ( $true
!= ( X3 @ X24 ) )
| ( ( X3 @ ( X7 @ X24 @ X23 ) )
= $true )
| ( $true
!= ( X3 @ X23 ) ) ) )
=> ( ! [X9: g,X8: g] :
( ( $true
!= ( sK8 @ X8 ) )
| ( ( sK8 @ X9 )
!= $true )
| ( $true
= ( sK8 @ ( sK6 @ X9 @ X8 ) ) ) )
& ! [X11: b,X10: b] :
( ( ( sK9 @ ( sK13 @ X10 @ X11 ) )
= $true )
| ( ( sK9 @ X11 )
!= $true )
| ( $true
!= ( sK9 @ X10 ) ) )
& ! [X12: g] :
( ( $true
= ( sK9 @ ( sK12 @ X12 ) ) )
| ( $true
!= ( sK8 @ X12 ) ) )
& ! [X14: g,X13: g] :
( ( ( sK13 @ ( sK12 @ X14 ) @ ( sK12 @ X13 ) )
= ( sK12 @ ( sK6 @ X14 @ X13 ) ) )
| ( ( sK8 @ X14 )
!= $true )
| ( ( sK8 @ X13 )
!= $true ) )
& ! [X16: b,X15: b] :
( ( ( sK9 @ X16 )
!= $true )
| ( ( sK9 @ X15 )
!= $true )
| ( ( sK10 @ ( sK13 @ X16 @ X15 ) )
= ( sK11 @ ( sK10 @ X16 ) @ ( sK10 @ X15 ) ) ) )
& ! [X17: b] :
( ( ( sK7 @ ( sK10 @ X17 ) )
= $true )
| ( $true
!= ( sK9 @ X17 ) ) )
& ! [X19: a,X18: a] :
( ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true )
| ( ( sK7 @ ( sK11 @ X18 @ X19 ) )
= $true ) )
& ( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ? [X21: g,X20: g] :
( ( ( sK8 @ X20 )
= $true )
& ( ( sK8 @ ( sK6 @ X21 @ X20 ) )
!= $true )
& ( ( sK8 @ X21 )
= $true ) )
| ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ? [X22: g] :
( ( ( sK7 @ ( sK10 @ ( sK12 @ X22 ) ) )
!= $true )
& ( ( sK8 @ X22 )
= $true ) ) )
& ! [X24: b,X23: b] :
( ( ( sK9 @ X24 )
!= $true )
| ( ( sK9 @ ( sK13 @ X24 @ X23 ) )
= $true )
| ( $true
!= ( sK9 @ X23 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
( ? [X21: g,X20: g] :
( ( ( sK8 @ X20 )
= $true )
& ( ( sK8 @ ( sK6 @ X21 @ X20 ) )
!= $true )
& ( ( sK8 @ X21 )
= $true ) )
=> ( ( ( sK8 @ sK14 )
= $true )
& ( $true
!= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) )
& ( ( sK8 @ sK15 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f22,plain,
( ? [X22: g] :
( ( ( sK7 @ ( sK10 @ ( sK12 @ X22 ) ) )
!= $true )
& ( ( sK8 @ X22 )
= $true ) )
=> ( ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true )
& ( ( sK8 @ sK16 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f19,plain,
? [X0: g > g > g,X1: a > $o,X2: g > $o,X3: b > $o,X4: b > a,X5: a > a > a,X6: g > b,X7: b > b > b] :
( ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
!= $true )
| ( ( X2 @ X9 )
!= $true )
| ( $true
= ( X2 @ ( X0 @ X9 @ X8 ) ) ) )
& ! [X10: b,X11: b] :
( ( ( X3 @ ( X7 @ X10 @ X11 ) )
= $true )
| ( ( X3 @ X11 )
!= $true )
| ( ( X3 @ X10 )
!= $true ) )
& ! [X12: g] :
( ( ( X3 @ ( X6 @ X12 ) )
= $true )
| ( ( X2 @ X12 )
!= $true ) )
& ! [X13: g,X14: g] :
( ( ( X7 @ ( X6 @ X14 ) @ ( X6 @ X13 ) )
= ( X6 @ ( X0 @ X14 @ X13 ) ) )
| ( ( X2 @ X14 )
!= $true )
| ( ( X2 @ X13 )
!= $true ) )
& ! [X15: b,X16: b] :
( ( $true
!= ( X3 @ X16 ) )
| ( $true
!= ( X3 @ X15 ) )
| ( ( X5 @ ( X4 @ X16 ) @ ( X4 @ X15 ) )
= ( X4 @ ( X7 @ X16 @ X15 ) ) ) )
& ! [X17: b] :
( ( ( X1 @ ( X4 @ X17 ) )
= $true )
| ( ( X3 @ X17 )
!= $true ) )
& ! [X18: a,X19: a] :
( ( ( X1 @ X19 )
!= $true )
| ( ( X1 @ X18 )
!= $true )
| ( $true
= ( X1 @ ( X5 @ X18 @ X19 ) ) ) )
& ( ( ( sP0 @ X5 @ X4 @ X6 @ X0 @ X2 )
= $true )
| ? [X20: g,X21: g] :
( ( $true
= ( X2 @ X20 ) )
& ( ( X2 @ ( X0 @ X21 @ X20 ) )
!= $true )
& ( $true
= ( X2 @ X21 ) ) )
| ( ( sP1 @ X1 @ X5 )
= $true )
| ? [X22: g] :
( ( ( X1 @ ( X4 @ ( X6 @ X22 ) ) )
!= $true )
& ( $true
= ( X2 @ X22 ) ) ) )
& ! [X23: b,X24: b] :
( ( $true
!= ( X3 @ X24 ) )
| ( ( X3 @ ( X7 @ X24 @ X23 ) )
= $true )
| ( $true
!= ( X3 @ X23 ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
? [X0: g > g > g,X7: a > $o,X1: g > $o,X2: b > $o,X4: b > a,X6: a > a > a,X5: g > b,X3: b > b > b] :
( ! [X12: g,X11: g] :
( ( $true
!= ( X1 @ X12 ) )
| ( ( X1 @ X11 )
!= $true )
| ( ( X1 @ ( X0 @ X11 @ X12 ) )
= $true ) )
& ! [X14: b,X13: b] :
( ( ( X2 @ ( X3 @ X14 @ X13 ) )
= $true )
| ( $true
!= ( X2 @ X13 ) )
| ( ( X2 @ X14 )
!= $true ) )
& ! [X15: g] :
( ( ( X2 @ ( X5 @ X15 ) )
= $true )
| ( ( X1 @ X15 )
!= $true ) )
& ! [X20: g,X21: g] :
( ( ( X5 @ ( X0 @ X21 @ X20 ) )
= ( X3 @ ( X5 @ X21 ) @ ( X5 @ X20 ) ) )
| ( ( X1 @ X21 )
!= $true )
| ( $true
!= ( X1 @ X20 ) ) )
& ! [X18: b,X19: b] :
( ( ( X2 @ X19 )
!= $true )
| ( ( X2 @ X18 )
!= $true )
| ( ( X4 @ ( X3 @ X19 @ X18 ) )
= ( X6 @ ( X4 @ X19 ) @ ( X4 @ X18 ) ) ) )
& ! [X8: b] :
( ( $true
= ( X7 @ ( X4 @ X8 ) ) )
| ( ( X2 @ X8 )
!= $true ) )
& ! [X10: a,X9: a] :
( ( $true
!= ( X7 @ X9 ) )
| ( $true
!= ( X7 @ X10 ) )
| ( ( X7 @ ( X6 @ X10 @ X9 ) )
= $true ) )
& ( ( ( sP0 @ X6 @ X4 @ X5 @ X0 @ X1 )
= $true )
| ? [X23: g,X22: g] :
( ( ( X1 @ X23 )
= $true )
& ( $true
!= ( X1 @ ( X0 @ X22 @ X23 ) ) )
& ( ( X1 @ X22 )
= $true ) )
| ( ( sP1 @ X7 @ X6 )
= $true )
| ? [X26: g] :
( ( ( X7 @ ( X4 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X1 @ X26 )
= $true ) ) )
& ! [X16: b,X17: b] :
( ( $true
!= ( X2 @ X17 ) )
| ( $true
= ( X2 @ ( X3 @ X17 @ X16 ) ) )
| ( ( X2 @ X16 )
!= $true ) ) ),
inference(definition_folding,[],[f7,f9,f8]) ).
thf(f8,plain,
! [X1: g > $o,X0: g > g > g,X5: g > b,X4: b > a,X6: a > a > a] :
( ? [X25: g,X24: g] :
( ( $true
= ( X1 @ X25 ) )
& ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
!= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X24 ) )
& ( $true
= ( X1 @ X24 ) ) )
| ( ( sP0 @ X6 @ X4 @ X5 @ X0 @ X1 )
!= $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f9,plain,
! [X6: a > a > a,X7: a > $o] :
( ? [X27: a,X28: a] :
( ( ( X7 @ ( X6 @ X27 @ X28 ) )
!= $true )
& ( ( X7 @ X28 )
= $true )
& ( ( X7 @ X27 )
= $true ) )
| ( ( sP1 @ X7 @ X6 )
!= $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f7,plain,
? [X0: g > g > g,X7: a > $o,X1: g > $o,X2: b > $o,X4: b > a,X6: a > a > a,X5: g > b,X3: b > b > b] :
( ! [X12: g,X11: g] :
( ( $true
!= ( X1 @ X12 ) )
| ( ( X1 @ X11 )
!= $true )
| ( ( X1 @ ( X0 @ X11 @ X12 ) )
= $true ) )
& ! [X14: b,X13: b] :
( ( ( X2 @ ( X3 @ X14 @ X13 ) )
= $true )
| ( $true
!= ( X2 @ X13 ) )
| ( ( X2 @ X14 )
!= $true ) )
& ! [X15: g] :
( ( ( X2 @ ( X5 @ X15 ) )
= $true )
| ( ( X1 @ X15 )
!= $true ) )
& ! [X20: g,X21: g] :
( ( ( X5 @ ( X0 @ X21 @ X20 ) )
= ( X3 @ ( X5 @ X21 ) @ ( X5 @ X20 ) ) )
| ( ( X1 @ X21 )
!= $true )
| ( $true
!= ( X1 @ X20 ) ) )
& ! [X18: b,X19: b] :
( ( ( X2 @ X19 )
!= $true )
| ( ( X2 @ X18 )
!= $true )
| ( ( X4 @ ( X3 @ X19 @ X18 ) )
= ( X6 @ ( X4 @ X19 ) @ ( X4 @ X18 ) ) ) )
& ! [X8: b] :
( ( $true
= ( X7 @ ( X4 @ X8 ) ) )
| ( ( X2 @ X8 )
!= $true ) )
& ! [X10: a,X9: a] :
( ( $true
!= ( X7 @ X9 ) )
| ( $true
!= ( X7 @ X10 ) )
| ( ( X7 @ ( X6 @ X10 @ X9 ) )
= $true ) )
& ( ? [X25: g,X24: g] :
( ( $true
= ( X1 @ X25 ) )
& ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
!= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X24 ) )
& ( $true
= ( X1 @ X24 ) ) )
| ? [X23: g,X22: g] :
( ( ( X1 @ X23 )
= $true )
& ( $true
!= ( X1 @ ( X0 @ X22 @ X23 ) ) )
& ( ( X1 @ X22 )
= $true ) )
| ? [X27: a,X28: a] :
( ( ( X7 @ ( X6 @ X27 @ X28 ) )
!= $true )
& ( ( X7 @ X28 )
= $true )
& ( ( X7 @ X27 )
= $true ) )
| ? [X26: g] :
( ( ( X7 @ ( X4 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X1 @ X26 )
= $true ) ) )
& ! [X16: b,X17: b] :
( ( $true
!= ( X2 @ X17 ) )
| ( $true
= ( X2 @ ( X3 @ X17 @ X16 ) ) )
| ( ( X2 @ X16 )
!= $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X6: a > a > a,X5: g > b,X3: b > b > b,X0: g > g > g,X7: a > $o,X2: b > $o,X1: g > $o,X4: b > a] :
( ( ? [X23: g,X22: g] :
( ( $true
!= ( X1 @ ( X0 @ X22 @ X23 ) ) )
& ( ( X1 @ X23 )
= $true )
& ( ( X1 @ X22 )
= $true ) )
| ? [X27: a,X28: a] :
( ( ( X7 @ ( X6 @ X27 @ X28 ) )
!= $true )
& ( ( X7 @ X27 )
= $true )
& ( ( X7 @ X28 )
= $true ) )
| ? [X26: g] :
( ( ( X7 @ ( X4 @ ( X5 @ X26 ) ) )
!= $true )
& ( ( X1 @ X26 )
= $true ) )
| ? [X25: g,X24: g] :
( ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
!= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X24 ) )
& ( $true
= ( X1 @ X24 ) ) ) )
& ! [X9: a,X10: a] :
( ( ( X7 @ ( X6 @ X10 @ X9 ) )
= $true )
| ( $true
!= ( X7 @ X10 ) )
| ( $true
!= ( X7 @ X9 ) ) )
& ! [X11: g,X12: g] :
( ( ( X1 @ ( X0 @ X11 @ X12 ) )
= $true )
| ( $true
!= ( X1 @ X12 ) )
| ( ( X1 @ X11 )
!= $true ) )
& ! [X20: g,X21: g] :
( ( ( X5 @ ( X0 @ X21 @ X20 ) )
= ( X3 @ ( X5 @ X21 ) @ ( X5 @ X20 ) ) )
| ( $true
!= ( X1 @ X20 ) )
| ( ( X1 @ X21 )
!= $true ) )
& ! [X19: b,X18: b] :
( ( ( X4 @ ( X3 @ X19 @ X18 ) )
= ( X6 @ ( X4 @ X19 ) @ ( X4 @ X18 ) ) )
| ( ( X2 @ X18 )
!= $true )
| ( ( X2 @ X19 )
!= $true ) )
& ! [X14: b,X13: b] :
( ( ( X2 @ ( X3 @ X14 @ X13 ) )
= $true )
| ( ( X2 @ X14 )
!= $true )
| ( $true
!= ( X2 @ X13 ) ) )
& ! [X17: b,X16: b] :
( ( $true
= ( X2 @ ( X3 @ X17 @ X16 ) ) )
| ( $true
!= ( X2 @ X17 ) )
| ( ( X2 @ X16 )
!= $true ) )
& ! [X8: b] :
( ( $true
= ( X7 @ ( X4 @ X8 ) ) )
| ( ( X2 @ X8 )
!= $true ) )
& ! [X15: g] :
( ( ( X2 @ ( X5 @ X15 ) )
= $true )
| ( ( X1 @ X15 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X6: a > a > a,X5: g > b,X3: b > b > b,X0: g > g > g,X7: a > $o,X2: b > $o,X1: g > $o,X4: b > a] :
( ( ! [X9: a,X10: a] :
( ( ( $true
= ( X7 @ X10 ) )
& ( $true
= ( X7 @ X9 ) ) )
=> ( ( X7 @ ( X6 @ X10 @ X9 ) )
= $true ) )
& ! [X11: g,X12: g] :
( ( ( $true
= ( X1 @ X12 ) )
& ( ( X1 @ X11 )
= $true ) )
=> ( ( X1 @ ( X0 @ X11 @ X12 ) )
= $true ) )
& ! [X20: g,X21: g] :
( ( ( $true
= ( X1 @ X20 ) )
& ( ( X1 @ X21 )
= $true ) )
=> ( ( X5 @ ( X0 @ X21 @ X20 ) )
= ( X3 @ ( X5 @ X21 ) @ ( X5 @ X20 ) ) ) )
& ! [X19: b,X18: b] :
( ( ( ( X2 @ X18 )
= $true )
& ( ( X2 @ X19 )
= $true ) )
=> ( ( X4 @ ( X3 @ X19 @ X18 ) )
= ( X6 @ ( X4 @ X19 ) @ ( X4 @ X18 ) ) ) )
& ! [X14: b,X13: b] :
( ( ( ( X2 @ X14 )
= $true )
& ( $true
= ( X2 @ X13 ) ) )
=> ( ( X2 @ ( X3 @ X14 @ X13 ) )
= $true ) )
& ! [X17: b,X16: b] :
( ( ( $true
= ( X2 @ X17 ) )
& ( ( X2 @ X16 )
= $true ) )
=> ( $true
= ( X2 @ ( X3 @ X17 @ X16 ) ) ) )
& ! [X8: b] :
( ( ( X2 @ X8 )
= $true )
=> ( $true
= ( X7 @ ( X4 @ X8 ) ) ) )
& ! [X15: g] :
( ( ( X1 @ X15 )
= $true )
=> ( ( X2 @ ( X5 @ X15 ) )
= $true ) ) )
=> ( ! [X23: g,X22: g] :
( ( ( ( X1 @ X23 )
= $true )
& ( ( X1 @ X22 )
= $true ) )
=> ( $true
= ( X1 @ ( X0 @ X22 @ X23 ) ) ) )
& ! [X27: a,X28: a] :
( ( ( ( X7 @ X27 )
= $true )
& ( ( X7 @ X28 )
= $true ) )
=> ( ( X7 @ ( X6 @ X27 @ X28 ) )
= $true ) )
& ! [X26: g] :
( ( ( X1 @ X26 )
= $true )
=> ( ( X7 @ ( X4 @ ( X5 @ X26 ) ) )
= $true ) )
& ! [X25: g,X24: g] :
( ( ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X24 ) )
& ( $true
= ( X1 @ X24 ) ) )
=> ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: g > g > g,X1: g > $o,X2: b > $o,X3: b > b > b,X4: b > a,X5: g > b,X6: a > a > a,X7: a > $o] :
( ( ! [X8: b] :
( ( X2 @ X8 )
=> ( X7 @ ( X4 @ X8 ) ) )
& ! [X9: a,X10: a] :
( ( ( X7 @ X10 )
& ( X7 @ X9 ) )
=> ( X7 @ ( X6 @ X10 @ X9 ) ) )
& ! [X11: g,X12: g] :
( ( ( X1 @ X12 )
& ( X1 @ X11 ) )
=> ( X1 @ ( X0 @ X11 @ X12 ) ) )
& ! [X13: b,X14: b] :
( ( ( X2 @ X14 )
& ( X2 @ X13 ) )
=> ( X2 @ ( X3 @ X14 @ X13 ) ) )
& ! [X15: g] :
( ( X1 @ X15 )
=> ( X2 @ ( X5 @ X15 ) ) )
& ! [X16: b,X17: b] :
( ( ( X2 @ X17 )
& ( X2 @ X16 ) )
=> ( X2 @ ( X3 @ X17 @ X16 ) ) )
& ! [X18: b,X19: b] :
( ( ( X2 @ X19 )
& ( X2 @ X18 ) )
=> ( ( X4 @ ( X3 @ X19 @ X18 ) )
= ( X6 @ ( X4 @ X19 ) @ ( X4 @ X18 ) ) ) )
& ! [X20: g,X21: g] :
( ( ( X1 @ X20 )
& ( X1 @ X21 ) )
=> ( ( X5 @ ( X0 @ X21 @ X20 ) )
= ( X3 @ ( X5 @ X21 ) @ ( X5 @ X20 ) ) ) ) )
=> ( ! [X22: g,X23: g] :
( ( ( X1 @ X23 )
& ( X1 @ X22 ) )
=> ( X1 @ ( X0 @ X22 @ X23 ) ) )
& ! [X24: g,X25: g] :
( ( ( X1 @ X24 )
& ( X1 @ X25 )
& ( X1 @ X25 )
& ( X1 @ X24 ) )
=> ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) ) )
& ! [X26: g] :
( ( X1 @ X26 )
=> ( X7 @ ( X4 @ ( X5 @ X26 ) ) ) )
& ! [X27: a,X28: a] :
( ( ( X7 @ X27 )
& ( X7 @ X28 ) )
=> ( X7 @ ( X6 @ X27 @ X28 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X3: g > g > g,X2: g > $o,X4: b > $o,X5: b > b > b,X1: b > a,X0: g > b,X7: a > a > a,X6: a > $o] :
( ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) ) )
=> ( ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 )
& ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X3: g > g > g,X2: g > $o,X4: b > $o,X5: b > b > b,X1: b > a,X0: g > b,X7: a > a > a,X6: a > $o] :
( ( ! [X8: b] :
( ( X4 @ X8 )
=> ( X6 @ ( X1 @ X8 ) ) )
& ! [X9: a,X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X4 @ ( X0 @ X8 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( X4 @ ( X5 @ X8 @ X9 ) ) )
& ! [X9: b,X8: b] :
( ( ( X4 @ X8 )
& ( X4 @ X9 ) )
=> ( ( X1 @ ( X5 @ X8 @ X9 ) )
= ( X7 @ ( X1 @ X8 ) @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X8: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X0 @ ( X3 @ X8 @ X9 ) )
= ( X5 @ ( X0 @ X8 ) @ ( X0 @ X9 ) ) ) ) )
=> ( ! [X8: g,X9: g] :
( ( ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( X2 @ ( X3 @ X8 @ X9 ) ) )
& ! [X8: g,X9: g] :
( ( ( X2 @ X8 )
& ( X2 @ X9 )
& ( X2 @ X9 )
& ( X2 @ X8 ) )
=> ( ( X1 @ ( X0 @ ( X3 @ X8 @ X9 ) ) )
= ( X7 @ ( X1 @ ( X0 @ X8 ) ) @ ( X1 @ ( X0 @ X9 ) ) ) ) )
& ! [X8: g] :
( ( X2 @ X8 )
=> ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
& ! [X8: a,X9: a] :
( ( ( X6 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ ( X7 @ X8 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_EXPANDED_pme) ).
thf(f104,plain,
( ( ( sK9 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| spl17_9 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl17_9
<=> ( ( sK9 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
thf(f166,plain,
( ~ spl17_9
| ~ spl17_2
| ~ spl17_8
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f165,f106,f98,f51,f102]) ).
thf(f51,plain,
( spl17_2
<=> ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
thf(f98,plain,
( spl17_8
<=> ( ( sK9 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
thf(f106,plain,
( spl17_10
<=> ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
= ( sK10 @ ( sK13 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
thf(f165,plain,
( ( ( sK9 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| ~ spl17_2
| ~ spl17_8
| ~ spl17_10 ),
inference(subsumption_resolution,[],[f164,f107]) ).
thf(f107,plain,
( ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
= ( sK10 @ ( sK13 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f164,plain,
( ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK10 @ ( sK13 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ( ( sK9 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| ~ spl17_2
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f136,f99]) ).
thf(f99,plain,
( ( ( sK9 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
= $true )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f136,plain,
( ( ( sK9 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK10 @ ( sK13 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ( ( sK9 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| ~ spl17_2 ),
inference(superposition,[],[f135,f41]) ).
thf(f41,plain,
! [X16: b,X15: b] :
( ( ( sK10 @ ( sK13 @ X16 @ X15 ) )
= ( sK11 @ ( sK10 @ X16 ) @ ( sK10 @ X15 ) ) )
| ( ( sK9 @ X15 )
!= $true )
| ( ( sK9 @ X16 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f135,plain,
( ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK11 @ ( sK10 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) @ ( sK10 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ~ spl17_2 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f134,plain,
( ( $true != $true )
| ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK11 @ ( sK10 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) @ ( sK10 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ~ spl17_2 ),
inference(superposition,[],[f30,f53]) ).
thf(f53,plain,
( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f30,plain,
! [X2: g > b,X3: b > a,X0: g > $o,X1: g > g > g,X4: a > a > a] :
( ( $true
!= ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
| ( ( X3 @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X4 @ ( X3 @ ( X2 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X3 @ ( X2 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: g > $o,X1: g > g > g,X2: g > b,X3: b > a,X4: a > a > a] :
( ( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( X3 @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X4 @ ( X3 @ ( X2 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X3 @ ( X2 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f16,f17]) ).
thf(f17,plain,
! [X0: g > $o,X1: g > g > g,X2: g > b,X3: b > a,X4: a > a > a] :
( ? [X5: g,X6: g] :
( ( ( X0 @ X5 )
= $true )
& ( ( X3 @ ( X2 @ ( X1 @ X6 @ X5 ) ) )
!= ( X4 @ ( X3 @ ( X2 @ X6 ) ) @ ( X3 @ ( X2 @ X5 ) ) ) )
& ( ( X0 @ X5 )
= $true )
& ( $true
= ( X0 @ X6 ) )
& ( $true
= ( X0 @ X6 ) ) )
=> ( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( X3 @ ( X2 @ ( X1 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) )
!= ( X4 @ ( X3 @ ( X2 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) @ ( X3 @ ( X2 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
& ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X0: g > $o,X1: g > g > g,X2: g > b,X3: b > a,X4: a > a > a] :
( ? [X5: g,X6: g] :
( ( ( X0 @ X5 )
= $true )
& ( ( X3 @ ( X2 @ ( X1 @ X6 @ X5 ) ) )
!= ( X4 @ ( X3 @ ( X2 @ X6 ) ) @ ( X3 @ ( X2 @ X5 ) ) ) )
& ( ( X0 @ X5 )
= $true )
& ( $true
= ( X0 @ X6 ) )
& ( $true
= ( X0 @ X6 ) ) )
| ( $true
!= ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,plain,
! [X1: g > $o,X0: g > g > g,X5: g > b,X4: b > a,X6: a > a > a] :
( ? [X25: g,X24: g] :
( ( $true
= ( X1 @ X25 ) )
& ( ( X6 @ ( X4 @ ( X5 @ X24 ) ) @ ( X4 @ ( X5 @ X25 ) ) )
!= ( X4 @ ( X5 @ ( X0 @ X24 @ X25 ) ) ) )
& ( $true
= ( X1 @ X25 ) )
& ( $true
= ( X1 @ X24 ) )
& ( $true
= ( X1 @ X24 ) ) )
| ( ( sP0 @ X6 @ X4 @ X5 @ X0 @ X1 )
!= $true ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f163,plain,
( ~ spl17_2
| spl17_12 ),
inference(avatar_contradiction_clause,[],[f162]) ).
thf(f162,plain,
( $false
| ~ spl17_2
| spl17_12 ),
inference(subsumption_resolution,[],[f158,f53]) ).
thf(f158,plain,
( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| spl17_12 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f157,plain,
( ( $true != $true )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| spl17_12 ),
inference(superposition,[],[f146,f29]) ).
thf(f29,plain,
! [X2: g > b,X3: b > a,X0: g > $o,X1: g > g > g,X4: a > a > a] :
( ( ( X0 @ ( sK4 @ X4 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f146,plain,
( ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_12 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f144,plain,
( spl17_12
<=> ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
thf(f155,plain,
( ~ spl17_2
| spl17_11 ),
inference(avatar_contradiction_clause,[],[f154]) ).
thf(f154,plain,
( $false
| ~ spl17_2
| spl17_11 ),
inference(subsumption_resolution,[],[f150,f53]) ).
thf(f150,plain,
( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| spl17_11 ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f149,plain,
( ( $true != $true )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| spl17_11 ),
inference(superposition,[],[f142,f27]) ).
thf(f27,plain,
! [X2: g > b,X3: b > a,X0: g > $o,X1: g > g > g,X4: a > a > a] :
( ( $true
= ( X0 @ ( sK5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( sP0 @ X4 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f142,plain,
( ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_11 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f147,plain,
( ~ spl17_11
| ~ spl17_12
| spl17_10 ),
inference(avatar_split_clause,[],[f138,f106,f144,f140]) ).
thf(f138,plain,
( ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_10 ),
inference(trivial_inequality_removal,[],[f137]) ).
thf(f137,plain,
( ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| ( ( sK8 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_10 ),
inference(superposition,[],[f108,f42]) ).
thf(f42,plain,
! [X14: g,X13: g] :
( ( ( sK13 @ ( sK12 @ X14 ) @ ( sK12 @ X13 ) )
= ( sK12 @ ( sK6 @ X14 @ X13 ) ) )
| ( ( sK8 @ X14 )
!= $true )
| ( ( sK8 @ X13 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f108,plain,
( ( ( sK10 @ ( sK12 @ ( sK6 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) )
!= ( sK10 @ ( sK13 @ ( sK12 @ ( sK5 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) ) ) )
| spl17_10 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f133,plain,
( ~ spl17_6
| ~ spl17_1
| spl17_7 ),
inference(avatar_split_clause,[],[f132,f74,f47,f69]) ).
thf(f69,plain,
( spl17_6
<=> ( ( sK8 @ sK15 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
thf(f47,plain,
( spl17_1
<=> ( ( sK8 @ sK14 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
thf(f74,plain,
( spl17_7
<=> ( $true
= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
thf(f132,plain,
( ( ( sK8 @ sK15 )
!= $true )
| ~ spl17_1
| spl17_7 ),
inference(subsumption_resolution,[],[f128,f49]) ).
thf(f49,plain,
( ( ( sK8 @ sK14 )
= $true )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f128,plain,
( ( ( sK8 @ sK15 )
!= $true )
| ( ( sK8 @ sK14 )
!= $true )
| spl17_7 ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f127,plain,
( ( $true != $true )
| ( ( sK8 @ sK14 )
!= $true )
| ( ( sK8 @ sK15 )
!= $true )
| spl17_7 ),
inference(superposition,[],[f76,f45]) ).
thf(f45,plain,
! [X8: g,X9: g] :
( ( $true
= ( sK8 @ ( sK6 @ X9 @ X8 ) ) )
| ( $true
!= ( sK8 @ X8 ) )
| ( ( sK8 @ X9 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f76,plain,
( ( $true
!= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) )
| spl17_7 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f126,plain,
( ~ spl17_4
| spl17_5 ),
inference(avatar_split_clause,[],[f125,f64,f59]) ).
thf(f59,plain,
( spl17_4
<=> ( ( sK8 @ sK16 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
thf(f64,plain,
( spl17_5
<=> ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
thf(f125,plain,
( ( ( sK8 @ sK16 )
!= $true )
| spl17_5 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f124,plain,
( ( ( sK8 @ sK16 )
!= $true )
| ( $true != $true )
| spl17_5 ),
inference(superposition,[],[f123,f43]) ).
thf(f123,plain,
( ( ( sK9 @ ( sK12 @ sK16 ) )
!= $true )
| spl17_5 ),
inference(trivial_inequality_removal,[],[f122]) ).
thf(f122,plain,
( ( ( sK9 @ ( sK12 @ sK16 ) )
!= $true )
| ( $true != $true )
| spl17_5 ),
inference(superposition,[],[f66,f40]) ).
thf(f40,plain,
! [X17: b] :
( ( ( sK7 @ ( sK10 @ X17 ) )
= $true )
| ( $true
!= ( sK9 @ X17 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f66,plain,
( ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true )
| spl17_5 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f121,plain,
( ~ spl17_2
| spl17_8 ),
inference(avatar_split_clause,[],[f115,f98,f51]) ).
thf(f115,plain,
( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f113,plain,
( ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
!= $true )
| ( $true != $true )
| spl17_8 ),
inference(superposition,[],[f111,f29]) ).
thf(f111,plain,
( ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_8 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
( ( $true != $true )
| ( ( sK8 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) )
!= $true )
| spl17_8 ),
inference(superposition,[],[f100,f43]) ).
thf(f100,plain,
( ( ( sK9 @ ( sK12 @ ( sK4 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 ) ) )
!= $true )
| spl17_8 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f84,plain,
~ spl17_3,
inference(avatar_split_clause,[],[f83,f55]) ).
thf(f55,plain,
( spl17_3
<=> ( $true
= ( sP1 @ sK7 @ sK11 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
thf(f83,plain,
( $true
!= ( sP1 @ sK7 @ sK11 ) ),
inference(subsumption_resolution,[],[f82,f24]) ).
thf(f24,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( X1 @ ( sK2 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( $true
!= ( X1 @ ( X0 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) )
& ( ( X1 @ ( sK3 @ X1 @ X0 ) )
= $true )
& ( ( X1 @ ( sK2 @ X1 @ X0 ) )
= $true ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
! [X0: a > a > a,X1: a > $o] :
( ? [X2: a,X3: a] :
( ( $true
!= ( X1 @ ( X0 @ X2 @ X3 ) ) )
& ( $true
= ( X1 @ X3 ) )
& ( ( X1 @ X2 )
= $true ) )
=> ( ( $true
!= ( X1 @ ( X0 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) )
& ( ( X1 @ ( sK3 @ X1 @ X0 ) )
= $true )
& ( ( X1 @ ( sK2 @ X1 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: a > a > a,X1: a > $o] :
( ? [X2: a,X3: a] :
( ( $true
!= ( X1 @ ( X0 @ X2 @ X3 ) ) )
& ( $true
= ( X1 @ X3 ) )
& ( ( X1 @ X2 )
= $true ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
! [X6: a > a > a,X7: a > $o] :
( ? [X27: a,X28: a] :
( ( ( X7 @ ( X6 @ X27 @ X28 ) )
!= $true )
& ( ( X7 @ X28 )
= $true )
& ( ( X7 @ X27 )
= $true ) )
| ( ( sP1 @ X7 @ X6 )
!= $true ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f82,plain,
( ( ( sK7 @ ( sK2 @ sK7 @ sK11 ) )
!= $true )
| ( $true
!= ( sP1 @ sK7 @ sK11 ) ) ),
inference(subsumption_resolution,[],[f81,f25]) ).
thf(f25,plain,
! [X0: a > a > a,X1: a > $o] :
( ( ( X1 @ ( sK3 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f81,plain,
( ( ( sK7 @ ( sK3 @ sK7 @ sK11 ) )
!= $true )
| ( ( sK7 @ ( sK2 @ sK7 @ sK11 ) )
!= $true )
| ( $true
!= ( sP1 @ sK7 @ sK11 ) ) ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( $true != $true )
| ( ( sK7 @ ( sK3 @ sK7 @ sK11 ) )
!= $true )
| ( ( sK7 @ ( sK2 @ sK7 @ sK11 ) )
!= $true )
| ( $true
!= ( sP1 @ sK7 @ sK11 ) ) ),
inference(superposition,[],[f26,f39]) ).
thf(f39,plain,
! [X18: a,X19: a] :
( ( ( sK7 @ ( sK11 @ X18 @ X19 ) )
= $true )
| ( ( sK7 @ X19 )
!= $true )
| ( ( sK7 @ X18 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f26,plain,
! [X0: a > a > a,X1: a > $o] :
( ( $true
!= ( X1 @ ( X0 @ ( sK2 @ X1 @ X0 ) @ ( sK3 @ X1 @ X0 ) ) ) )
| ( $true
!= ( sP1 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f79,plain,
( ~ spl17_7
| spl17_2
| ~ spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f36,f55,f64,f51,f74]) ).
thf(f36,plain,
( ( $true
!= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f78,plain,
( ~ spl17_5
| spl17_6
| spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f34,f55,f51,f69,f64]) ).
thf(f34,plain,
( ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true )
| ( ( sK8 @ sK15 )
= $true )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f77,plain,
( spl17_4
| ~ spl17_7
| spl17_3
| spl17_2 ),
inference(avatar_split_clause,[],[f35,f51,f55,f74,f59]) ).
thf(f35,plain,
( ( $true
!= ( sK8 @ ( sK6 @ sK15 @ sK14 ) ) )
| ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ( ( sK8 @ sK16 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f72,plain,
( spl17_2
| spl17_4
| spl17_3
| spl17_6 ),
inference(avatar_split_clause,[],[f33,f69,f55,f59,f51]) ).
thf(f33,plain,
( ( ( sK8 @ sK15 )
= $true )
| ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true )
| ( ( sK8 @ sK16 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f67,plain,
( spl17_2
| spl17_1
| ~ spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f38,f55,f64,f47,f51]) ).
thf(f38,plain,
( ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sK8 @ sK14 )
= $true )
| ( ( sK7 @ ( sK10 @ ( sK12 @ sK16 ) ) )
!= $true )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f62,plain,
( spl17_1
| spl17_2
| spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f37,f59,f55,f51,f47]) ).
thf(f37,plain,
( ( $true
= ( sP1 @ sK7 @ sK11 ) )
| ( ( sK8 @ sK16 )
= $true )
| ( ( sK8 @ sK14 )
= $true )
| ( ( sP0 @ sK11 @ sK10 @ sK12 @ sK6 @ sK8 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYO228^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.31 % Computer : n032.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 20 09:40:07 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.17/0.32 This is a TH0_THM_EQU_NAR problem
% 0.17/0.32 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.33 % (28824)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 (3000ds/275Mi)
% 0.17/0.33 % (28819)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.33 % (28821)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 (3000ds/27Mi)
% 0.17/0.33 % (28823)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 (3000ds/2Mi)
% 0.17/0.33 % (28823)Instruction limit reached!
% 0.17/0.33 % (28823)------------------------------
% 0.17/0.33 % (28823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (28823)Termination reason: Unknown
% 0.17/0.33 % (28823)Termination phase: shuffling
% 0.17/0.33
% 0.17/0.33 % (28823)Memory used [KB]: 1023
% 0.17/0.33 % (28823)Time elapsed: 0.002 s
% 0.17/0.33 % (28823)Instructions burned: 2 (million)
% 0.17/0.33 % (28823)------------------------------
% 0.17/0.33 % (28823)------------------------------
% 0.17/0.33 % (28820)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 (3000ds/4Mi)
% 0.17/0.34 % (28820)Instruction limit reached!
% 0.17/0.34 % (28820)------------------------------
% 0.17/0.34 % (28820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (28820)Termination reason: Unknown
% 0.17/0.34 % (28820)Termination phase: Property scanning
% 0.17/0.34
% 0.17/0.34 % (28820)Memory used [KB]: 1023
% 0.17/0.34 % (28820)Time elapsed: 0.004 s
% 0.17/0.34 % (28820)Instructions burned: 5 (million)
% 0.17/0.34 % (28820)------------------------------
% 0.17/0.34 % (28820)------------------------------
% 0.17/0.34 % (28822)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.34 % (28822)Instruction limit reached!
% 0.17/0.34 % (28822)------------------------------
% 0.17/0.34 % (28822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (28822)Termination reason: Unknown
% 0.17/0.34 % (28822)Termination phase: Property scanning
% 0.17/0.34
% 0.17/0.34 % (28822)Memory used [KB]: 895
% 0.17/0.34 % (28822)Time elapsed: 0.003 s
% 0.17/0.34 % (28822)Instructions burned: 2 (million)
% 0.17/0.34 % (28822)------------------------------
% 0.17/0.34 % (28822)------------------------------
% 0.17/0.34 % (28824)First to succeed.
% 0.17/0.34 % (28824)Refutation found. Thanks to Tanya!
% 0.17/0.34 % SZS status Theorem for theBenchmark
% 0.17/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (28824)------------------------------
% 0.17/0.35 % (28824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (28824)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (28824)Memory used [KB]: 5756
% 0.17/0.35 % (28824)Time elapsed: 0.015 s
% 0.17/0.35 % (28824)Instructions burned: 27 (million)
% 0.17/0.35 % (28824)------------------------------
% 0.17/0.35 % (28824)------------------------------
% 0.17/0.35 % (28818)Success in time 0.006 s
% 0.17/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------