TSTP Solution File: SEV041^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV041^5 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:11:49 EDT 2024
% Result : Theorem 21.20s 3.19s
% Output : Refutation 21.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 47
% Syntax : Number of formulae : 399 ( 56 unt; 38 typ; 0 def)
% Number of atoms : 4122 ( 522 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 11179 ( 323 ~; 325 |; 503 &;7783 @)
% ( 8 <=>; 847 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 659 ( 659 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 42 usr; 27 con; 0-3 aty)
% (1390 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1819 (1569 ^ 249 !; 0 ?;1819 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_21,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
sK2: a > a > $o ).
thf(func_def_23,type,
sK3: a > a > $o ).
thf(func_def_24,type,
sK4: a > b > b > $o ).
thf(func_def_25,type,
sK5: a > b > b > $o ).
thf(func_def_26,type,
sK6: a > b > b > $o ).
thf(func_def_27,type,
sK7: a > b ).
thf(func_def_28,type,
sK8: a > b ).
thf(func_def_29,type,
sK9: a > b ).
thf(func_def_30,type,
sK10: a ).
thf(func_def_31,type,
sK11: a ).
thf(func_def_32,type,
sK12: a > b ).
thf(func_def_33,type,
sK13: a > b ).
thf(func_def_34,type,
sK14: a > b ).
thf(func_def_35,type,
sK15: a > b ).
thf(func_def_36,type,
sK16: a > b ).
thf(func_def_37,type,
sK17: a ).
thf(func_def_38,type,
sK18: a ).
thf(func_def_39,type,
sK19: a ).
thf(func_def_40,type,
sK20: a ).
thf(func_def_41,type,
sK21: a ).
thf(func_def_42,type,
sK22: a ).
thf(func_def_43,type,
sK23: a > b ).
thf(func_def_44,type,
sK24: a > b ).
thf(func_def_45,type,
sK25: a > b ).
thf(func_def_46,type,
sK26: a > b ).
thf(func_def_47,type,
sK27: a ).
thf(func_def_48,type,
sK28: a ).
thf(func_def_49,type,
sK29: a ).
thf(func_def_50,type,
sK30: a ).
thf(func_def_51,type,
sK31: a ).
thf(func_def_52,type,
sK32: a ).
thf(func_def_53,type,
sK33: a ).
thf(func_def_54,type,
sK34: a ).
thf(f21613,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f1058,f1068,f1788,f1821,f1828,f1832,f17356,f21612]) ).
thf(f21612,plain,
( ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f21611]) ).
thf(f21611,plain,
( $false
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f21610]) ).
thf(f21610,plain,
( ( $false = $true )
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f21604,f18246]) ).
thf(f18246,plain,
( ( ( sK4 @ sK33 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) )
= $false )
| ~ spl0_15 ),
inference(superposition,[],[f18093,f17564]) ).
thf(f17564,plain,
( ( $false
= ( sK4 @ sK34 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) ) )
| ~ spl0_15 ),
inference(binary_proxy_clausification,[],[f17504]) ).
thf(f17504,plain,
( ( $false
= ( ( sK2 @ sK34 @ sK33 )
=> ( sK4 @ sK34 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) ) ) )
| ~ spl0_15 ),
inference(beta_eta_normalization,[],[f17503]) ).
thf(f17503,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ sK33 )
=> ( sK4 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ sK33 ) ) )
@ sK34 ) )
| ~ spl0_15 ),
inference(sigma_clausification,[],[f17445]) ).
thf(f17445,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ sK33 )
=> ( sK4 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ sK33 ) ) ) ) )
| ~ spl0_15 ),
inference(beta_eta_normalization,[],[f17444]) ).
thf(f17444,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) )
@ sK33 ) )
| ~ spl0_15 ),
inference(sigma_clausification,[],[f1817]) ).
thf(f1817,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1816]) ).
thf(f1816,plain,
( spl0_15
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f18093,plain,
( ! [X2: b,X1: b] :
( ( sK4 @ sK34 @ X1 @ X2 )
= ( sK4 @ sK33 @ X1 @ X2 ) )
| ~ spl0_15 ),
inference(argument_congruence,[],[f18059]) ).
thf(f18059,plain,
( ! [X1: b] :
( ( sK4 @ sK34 @ X1 )
= ( sK4 @ sK33 @ X1 ) )
| ~ spl0_15 ),
inference(argument_congruence,[],[f18040]) ).
thf(f18040,plain,
( ( ( sK4 @ sK33 )
= ( sK4 @ sK34 ) )
| ~ spl0_15 ),
inference(equality_proxy_clausification,[],[f17931]) ).
thf(f17931,plain,
( ( ( ( sK4 @ sK34 )
= ( sK4 @ sK33 ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17930]) ).
thf(f17930,plain,
( ( ( $true
& ( ( sK4 @ sK34 )
= ( sK4 @ sK33 ) ) )
= $true )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f17635,f17928]) ).
thf(f17928,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17927]) ).
thf(f17927,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
& $true ) )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17926]) ).
thf(f17926,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK4 @ sK33 ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17904]) ).
thf(f17904,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK4 @ sK33 ) ) ) )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f299,f17883]) ).
thf(f17883,plain,
( ( ( sK2 @ sK33 @ sK33 )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17879]) ).
thf(f17879,plain,
( ( $true
= ( $true
=> ( sK2 @ sK33 @ sK33 ) ) )
| ~ spl0_15 ),
inference(superposition,[],[f17594,f17571]) ).
thf(f17571,plain,
( ( ( sK2 @ sK33 @ sK34 )
= $true )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f17570]) ).
thf(f17570,plain,
( ( ( sK2 @ sK33 @ sK34 )
= $true )
| ( $false = $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17568]) ).
thf(f17568,plain,
( ( $false
= ( $false
=> ( sK4 @ sK34 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) ) ) )
| ( ( sK2 @ sK33 @ sK34 )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f17504,f131]) ).
thf(f131,plain,
! [X2: a,X1: a] :
( ( $false
= ( sK2 @ X2 @ X1 ) )
| ( ( sK2 @ X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f123]) ).
thf(f123,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK2 @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f122]) ).
thf(f122,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f119]) ).
thf(f119,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f118]) ).
thf(f118,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f66]) ).
thf(f66,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f35,plain,
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f34]) ).
thf(f34,plain,
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f19,f32]) ).
thf(f32,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y0 @ Y3 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y0 @ Y4 @ Y2 )
& ( sK4 @ Y0 @ Y3 @ Y4 ) )
=> ( sK4 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK4 @ Y1 )
= ( sK4 @ Y0 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( ( ^ [Y0: a > b > b > $o] :
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK2 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y3 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK4 @ Y1 @ Y4 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK4 @ Y1 @ Y5 @ Y3 )
& ( sK4 @ Y1 @ Y4 @ Y5 ) )
=> ( sK4 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK4 @ Y2 )
= ( sK4 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK2 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y3 @ Y1 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK4 @ Y1 @ Y4 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK4 @ Y1 @ Y5 @ Y3 )
& ( sK4 @ Y1 @ Y4 @ Y5 ) )
=> ( sK4 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK4 @ Y2 )
= ( sK4 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK2 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y3 @ Y4 )
& ( sK2 @ Y4 @ Y2 ) )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y2 @ Y5 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y2 @ Y6 @ Y4 )
& ( Y0 @ Y2 @ Y5 @ Y6 ) )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y0 @ Y3 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y4 @ Y5 ) )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK3 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y2 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( ( ( sK3 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK2 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y3 @ Y4 )
& ( sK2 @ Y4 @ Y2 ) )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y2 @ Y5 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y2 @ Y6 @ Y4 )
& ( Y0 @ Y2 @ Y5 @ Y6 ) )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y0 @ Y3 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y4 @ Y5 ) )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK3 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y2 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( ( ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y4 @ Y5 )
& ( sK2 @ Y5 @ Y3 ) )
=> ( sK2 @ Y4 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y6 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y2 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y6 @ Y4 )
& ( Y1 @ Y3 @ Y5 @ Y6 ) )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y2 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y3 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( ( ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y4 @ Y5 )
& ( sK2 @ Y5 @ Y3 ) )
=> ( sK2 @ Y4 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y6 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y2 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y6 @ Y4 )
& ( Y1 @ Y3 @ Y5 @ Y6 ) )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y2 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y3 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y6 @ Y4 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y4 @ Y7 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y7 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y4 @ Y8 @ Y6 )
& ( Y2 @ Y4 @ Y7 @ Y8 ) )
=> ( Y2 @ Y4 @ Y7 @ Y6 ) ) ) ) )
& ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y3 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y6 @ Y4 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y4 @ Y7 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y7 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y4 @ Y8 @ Y6 )
& ( Y2 @ Y4 @ Y7 @ Y8 ) )
=> ( Y2 @ Y4 @ Y7 @ Y6 ) ) ) ) )
& ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y3 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y6 @ Y4 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y4 @ Y7 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y7 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y4 @ Y8 @ Y6 )
& ( Y2 @ Y4 @ Y7 @ Y8 ) )
=> ( Y2 @ Y4 @ Y7 @ Y6 ) ) ) ) )
& ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y3 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y6 @ Y4 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y4 @ Y7 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y7 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y4 @ Y8 @ Y6 )
& ( Y2 @ Y4 @ Y7 @ Y8 ) )
=> ( Y2 @ Y4 @ Y7 @ Y6 ) ) ) ) )
& ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y3 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > b > b > $o,X1: a > b > b > $o,X2: a > a > $o,X3: a > a > $o] :
( ( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X4 @ X6 )
& ( X3 @ X5 @ X4 ) )
=> ( X3 @ X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( X3 @ X7 @ X8 )
=> ( X3 @ X8 @ X7 ) )
& ( X2 = X3 ) )
=> ( ! [X9: a,X10: a] :
( ( X3 @ X10 @ X9 )
=> ( ( ( X1 @ X9 )
= ( X1 @ X10 ) )
& ! [X11: b,X12: b,X13: b] :
( ( ( X1 @ X10 @ X12 @ X11 )
& ( X1 @ X10 @ X11 @ X13 ) )
=> ( X1 @ X10 @ X12 @ X13 ) )
& ! [X14: b,X15: b] :
( ( X1 @ X10 @ X14 @ X15 )
=> ( X1 @ X10 @ X15 @ X14 ) ) ) )
=> ( ! [X16: a] :
( ( X3 @ X16 @ X16 )
=> ( ! [X17: b,X18: b,X19: b] :
( ( ( X1 @ X16 @ X18 @ X17 )
& ( X1 @ X16 @ X17 @ X19 ) )
=> ( X1 @ X16 @ X18 @ X19 ) )
& ( ( X1 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( X1 @ X16 @ X21 @ X20 )
=> ( X1 @ X16 @ X20 @ X21 ) ) ) )
=> ( ! [X22: a > b,X23: a > b,X24: a > b] :
( ( ! [X25: a,X26: a] :
( ( X3 @ X26 @ X25 )
=> ( X1 @ X26 @ ( X22 @ X26 ) @ ( X23 @ X25 ) ) )
& ! [X27: a,X28: a] :
( ( X3 @ X27 @ X28 )
=> ( X1 @ X27 @ ( X24 @ X27 ) @ ( X22 @ X28 ) ) ) )
=> ! [X29: a,X30: a] :
( ( X3 @ X30 @ X29 )
=> ( X1 @ X30 @ ( X24 @ X30 ) @ ( X23 @ X29 ) ) ) )
& ! [X31: a > b,X32: a > b] :
( ! [X33: a,X34: a] :
( ( X3 @ X33 @ X34 )
=> ( X1 @ X33 @ ( X32 @ X33 ) @ ( X31 @ X34 ) ) )
=> ! [X35: a,X36: a] :
( ( X3 @ X35 @ X36 )
=> ( X1 @ X35 @ ( X31 @ X35 ) @ ( X32 @ X36 ) ) ) )
& ( ( ^ [X37: a > b,X38: a > b] :
! [X39: a,X40: a] :
( ( X3 @ X39 @ X40 )
=> ( X1 @ X39 @ ( X37 @ X39 ) @ ( X38 @ X40 ) ) ) )
= ( ^ [X41: a > b,X42: a > b] :
! [X43: a,X44: a] :
( ( X2 @ X44 @ X43 )
=> ( X0 @ X44 @ ( X41 @ X44 ) @ ( X42 @ X43 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X3: a > b > b > $o,X2: a > b > b > $o,X1: a > a > $o,X0: a > a > $o] :
( ( ! [X5: a,X4: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X1 ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( ( ( X2 @ X4 )
= ( X2 @ X5 ) )
& ! [X8: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X7: b,X8: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X5: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X5 )
& ( X2 @ X4 @ X5 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X5: a > b,X6: a > b,X4: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) )
& ! [X5: a > b,X4: a > b] :
( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) )
& ( ( ^ [X9: a > b,X10: a > b] :
! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X3: a > b > b > $o,X2: a > b > b > $o,X1: a > a > $o,X0: a > a > $o] :
( ( ! [X5: a,X4: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X1 ) )
=> ( ! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( ( ( X2 @ X4 )
= ( X2 @ X5 ) )
& ! [X8: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X7: b,X8: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X5: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X5 )
& ( X2 @ X4 @ X5 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X5: a > b,X6: a > b,X4: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) )
& ! [X5: a > b,X4: a > b] :
( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) )
& ( ( ^ [X9: a > b,X10: a > b] :
! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM517_pme) ).
thf(f17594,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK34 )
=> ( sK2 @ X0 @ sK33 ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17582]) ).
thf(f17582,plain,
( ! [X0: a] :
( ( ( ( sK2 @ X0 @ sK34 )
& $true )
=> ( sK2 @ X0 @ sK33 ) )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f60,f17565]) ).
thf(f17565,plain,
( ( ( sK2 @ sK34 @ sK33 )
= $true )
| ~ spl0_15 ),
inference(binary_proxy_clausification,[],[f17504]) ).
thf(f60,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK2 @ X2 @ X3 )
& ( sK2 @ X3 @ X1 ) )
=> ( sK2 @ X2 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f59]) ).
thf(f59,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ Y0 @ X1 ) )
=> ( sK2 @ X2 @ X1 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ Y0 @ X1 ) )
=> ( sK2 @ X2 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ X1 ) )
=> ( sK2 @ Y0 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f39]) ).
thf(f39,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ X1 ) )
=> ( sK2 @ Y0 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f32]) ).
thf(f299,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ X1 @ Y1 @ Y0 )
=> ( sK4 @ X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ X1 @ Y2 @ Y0 )
& ( sK4 @ X1 @ Y1 @ Y2 ) )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ X2 )
= ( sK4 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f298]) ).
thf(f298,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ X1 @ Y2 @ Y1 )
=> ( sK4 @ X1 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ X1 @ Y3 @ Y1 )
& ( sK4 @ X1 @ Y2 @ Y3 ) )
=> ( sK4 @ X1 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK4 @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f250]) ).
thf(f250,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ X1 @ Y2 @ Y1 )
=> ( sK4 @ X1 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ X1 @ Y3 @ Y1 )
& ( sK4 @ X1 @ Y2 @ Y3 ) )
=> ( sK4 @ X1 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK4 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f249]) ).
thf(f249,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y0 @ Y3 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y0 @ Y4 @ Y2 )
& ( sK4 @ Y0 @ Y3 @ Y4 ) )
=> ( sK4 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK4 @ Y1 )
= ( sK4 @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f25]) ).
thf(f25,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y0 @ Y3 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y0 @ Y4 @ Y2 )
& ( sK4 @ Y0 @ Y3 @ Y4 ) )
=> ( sK4 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK4 @ Y1 )
= ( sK4 @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y0 @ Y3 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y0 @ Y4 @ Y2 )
& ( sK4 @ Y0 @ Y3 @ Y4 ) )
=> ( sK4 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK4 @ Y1 )
= ( sK4 @ Y0 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f20]) ).
thf(f20,plain,
( $false
= ( $true
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y0 @ Y3 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y0 @ Y4 @ Y2 )
& ( sK4 @ Y0 @ Y3 @ Y4 ) )
=> ( sK4 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK4 @ Y1 )
= ( sK4 @ Y0 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f17,f19]) ).
thf(f17635,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK34 )
= ( sK4 @ sK33 ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17618]) ).
thf(f17618,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK34 )
= ( sK4 @ sK33 ) ) ) )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f299,f17571]) ).
thf(f21604,plain,
( ( ( sK4 @ sK33 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) )
= $true )
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f17742,f19058]) ).
thf(f19058,plain,
( ! [X2: b,X1: b] :
( ( sK4 @ sK33 @ X1 @ X2 )
= ( sK6 @ sK34 @ X1 @ X2 ) )
| ~ spl0_15 ),
inference(argument_congruence,[],[f18704]) ).
thf(f18704,plain,
( ! [X1: b] :
( ( sK4 @ sK33 @ X1 )
= ( sK6 @ sK34 @ X1 ) )
| ~ spl0_15 ),
inference(argument_congruence,[],[f18685]) ).
thf(f18685,plain,
( ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) )
| ~ spl0_15 ),
inference(equality_proxy_clausification,[],[f18638]) ).
thf(f18638,plain,
( ( ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f18636]) ).
thf(f18636,plain,
( ( ( $true
& ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) ) )
= $true )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f18441,f18625]) ).
thf(f18625,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_15 ),
inference(binary_proxy_clausification,[],[f18439]) ).
thf(f18439,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK33 ) ) ) )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f18438]) ).
thf(f18438,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK33 ) )
& $true )
= $true )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f17918,f18434]) ).
thf(f18434,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f18433]) ).
thf(f18433,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f17928,f18432]) ).
thf(f18432,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f18431]) ).
thf(f18431,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
= $true )
| ( $false = $true )
| ~ spl0_15 ),
inference(forward_demodulation,[],[f18429,f17883]) ).
thf(f18429,plain,
( ( $false
= ( sK2 @ sK33 @ sK33 ) )
| ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f18415]) ).
thf(f18415,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y1 @ Y0 )
=> ( sK4 @ sK33 @ Y0 @ Y1 ) ) ) )
& $true ) )
| ( $false
= ( sK2 @ sK33 @ sK33 ) )
| ~ spl0_15 ),
inference(superposition,[],[f17928,f2034]) ).
thf(f2034,plain,
! [X1: a] :
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ X1 @ Y2 @ Y0 )
& ( sK4 @ X1 @ Y1 @ Y2 ) )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ( $false
= ( sK2 @ X1 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f226]) ).
thf(f226,plain,
! [X1: a] :
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ X1 @ Y0 @ Y1 )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ X1 )
= ( sK6 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ X1 @ Y2 @ Y0 )
& ( sK4 @ X1 @ Y1 @ Y2 ) )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ( $false
= ( sK2 @ X1 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f223]) ).
thf(f223,plain,
! [X1: a] :
( ( ( sK2 @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ X1 @ Y0 @ Y1 )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ X1 )
= ( sK6 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ X1 @ Y2 @ Y0 )
& ( sK4 @ X1 @ Y1 @ Y2 ) )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f222]) ).
thf(f222,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK6 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK6 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK6 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f36]) ).
thf(f36,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f31]) ).
thf(f31,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f29]) ).
thf(f29,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( $true
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f22,f25]) ).
thf(f22,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK4 @ Y1 @ Y4 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK4 @ Y1 @ Y5 @ Y3 )
& ( sK4 @ Y1 @ Y4 @ Y5 ) )
=> ( sK4 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK4 @ Y2 )
= ( sK4 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f21]) ).
thf(f21,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( $true
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK4 @ Y1 @ Y4 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK4 @ Y1 @ Y5 @ Y3 )
& ( sK4 @ Y1 @ Y4 @ Y5 ) )
=> ( sK4 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK4 @ Y2 )
= ( sK4 @ Y1 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y1 @ Y2 @ Y3 )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( ( sK4 @ Y1 )
= ( Y0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK4 @ Y1 @ Y4 @ Y2 )
& ( sK4 @ Y1 @ Y3 @ Y4 ) )
=> ( sK4 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK4 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK4 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f15,f19]) ).
thf(f17918,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK33 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17895]) ).
thf(f17895,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK33 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_15 ),
inference(superposition,[],[f223,f17883]) ).
thf(f18441,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f18436]) ).
thf(f18436,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) )
& $true )
= $true )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f18050,f18434]) ).
thf(f18050,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK33 @ Y0 @ Y1 )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK33 )
= ( sK6 @ sK34 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK33 @ Y2 @ Y0 )
& ( sK4 @ sK33 @ Y1 @ Y2 ) )
=> ( sK4 @ sK33 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_15 ),
inference(backward_demodulation,[],[f17989,f18040]) ).
thf(f17989,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK34 @ Y0 @ Y1 )
=> ( sK4 @ sK34 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK34 )
= ( sK6 @ sK34 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK34 @ Y2 @ Y0 )
& ( sK4 @ sK34 @ Y1 @ Y2 ) )
=> ( sK4 @ sK34 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17956]) ).
thf(f17956,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK34 @ Y0 @ Y1 )
=> ( sK4 @ sK34 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK34 )
= ( sK6 @ sK34 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK34 @ Y2 @ Y0 )
& ( sK4 @ sK34 @ Y1 @ Y2 ) )
=> ( sK4 @ sK34 @ Y1 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_15 ),
inference(superposition,[],[f223,f17948]) ).
thf(f17948,plain,
( ( ( sK2 @ sK34 @ sK34 )
= $true )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17941]) ).
thf(f17941,plain,
( ( ( $true
=> ( sK2 @ sK34 @ sK34 ) )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f17600,f17571]) ).
thf(f17600,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK33 @ X0 )
=> ( sK2 @ sK34 @ X0 ) ) )
| ~ spl0_15 ),
inference(boolean_simplification,[],[f17581]) ).
thf(f17581,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ sK33 @ X0 ) )
=> ( sK2 @ sK34 @ X0 ) )
= $true )
| ~ spl0_15 ),
inference(superposition,[],[f60,f17565]) ).
thf(f17742,plain,
( ( ( sK6 @ sK34 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) )
= $true )
| ~ spl0_15
| ~ spl0_18 ),
inference(boolean_simplification,[],[f17722]) ).
thf(f17722,plain,
( ( ( $true
=> ( sK6 @ sK34 @ ( sK23 @ sK34 ) @ ( sK24 @ sK33 ) ) )
= $true )
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f17638,f17565]) ).
thf(f17638,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK6 @ X1 @ ( sK23 @ X1 ) @ ( sK24 @ X2 ) ) )
= $true )
| ~ spl0_18 ),
inference(forward_demodulation,[],[f17637,f84]) ).
thf(f84,plain,
! [X2: a,X1: a] :
( ( sK2 @ X1 @ X2 )
= ( sK3 @ X1 @ X2 ) ),
inference(argument_congruence,[],[f81]) ).
thf(f81,plain,
! [X1: a] :
( ( sK3 @ X1 )
= ( sK2 @ X1 ) ),
inference(argument_congruence,[],[f72]) ).
thf(f72,plain,
sK2 = sK3,
inference(equality_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( ( sK3 = sK2 )
= $true ),
inference(boolean_simplification,[],[f68]) ).
thf(f68,plain,
( ( ( sK3 = sK2 )
& $true )
= $true ),
inference(backward_demodulation,[],[f35,f66]) ).
thf(f17637,plain,
( ! [X2: a,X1: a] :
( ( ( sK3 @ X1 @ X2 )
=> ( sK6 @ X1 @ ( sK23 @ X1 ) @ ( sK24 @ X2 ) ) )
= $true )
| ~ spl0_18 ),
inference(beta_eta_normalization,[],[f17636]) ).
thf(f17636,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK23 @ X1 ) @ ( sK24 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_18 ),
inference(pi_clausification,[],[f17607]) ).
thf(f17607,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK23 @ X1 ) @ ( sK24 @ Y0 ) ) ) )
= $true )
| ~ spl0_18 ),
inference(beta_eta_normalization,[],[f17606]) ).
thf(f17606,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_18 ),
inference(pi_clausification,[],[f1827]) ).
thf(f1827,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1826]) ).
thf(f1826,plain,
( spl0_18
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f17356,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f17355]) ).
thf(f17355,plain,
( $false
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f17354]) ).
thf(f17354,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1927,f17350]) ).
thf(f17350,plain,
( ( $false
= ( sK4 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) )
| ~ spl0_16 ),
inference(superposition,[],[f1907,f11699]) ).
thf(f11699,plain,
( ! [X2: b,X1: b] :
( ( sK4 @ sK27 @ X1 @ X2 )
= ( sK6 @ sK27 @ X1 @ X2 ) )
| ~ spl0_16 ),
inference(argument_congruence,[],[f9579]) ).
thf(f9579,plain,
( ! [X1: b] :
( ( sK6 @ sK27 @ X1 )
= ( sK4 @ sK27 @ X1 ) )
| ~ spl0_16 ),
inference(argument_congruence,[],[f9564]) ).
thf(f9564,plain,
( ( ( sK6 @ sK27 )
= ( sK4 @ sK27 ) )
| ~ spl0_16 ),
inference(equality_proxy_clausification,[],[f8021]) ).
thf(f8021,plain,
( ( ( ( sK4 @ sK27 )
= ( sK6 @ sK27 ) )
= $true )
| ~ spl0_16 ),
inference(binary_proxy_clausification,[],[f7840]) ).
thf(f7840,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK27 ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f7832]) ).
thf(f7832,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK27 ) )
& $true )
= $true )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f2259,f7831]) ).
thf(f7831,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK27 @ Y2 @ Y0 )
& ( sK4 @ sK27 @ Y1 @ Y2 ) )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f7830]) ).
thf(f7830,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK27 @ Y2 @ Y0 )
& ( sK4 @ sK27 @ Y1 @ Y2 ) )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f2334,f7829]) ).
thf(f7829,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK28 ) ) )
= $true )
| ~ spl0_16 ),
inference(forward_demodulation,[],[f7828,f2328]) ).
thf(f2328,plain,
( ( ( sK4 @ sK27 )
= ( sK4 @ sK28 ) )
| ~ spl0_16 ),
inference(equality_proxy_clausification,[],[f2228]) ).
thf(f2228,plain,
( ( ( ( sK4 @ sK27 )
= ( sK4 @ sK28 ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2227]) ).
thf(f2227,plain,
( ( ( $true
& ( ( sK4 @ sK27 )
= ( sK4 @ sK28 ) ) )
= $true )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1938,f2222]) ).
thf(f2222,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2221]) ).
thf(f2221,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2220]) ).
thf(f2220,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK4 @ sK28 ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2206]) ).
thf(f2206,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK4 @ sK28 ) ) ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f299,f2194]) ).
thf(f2194,plain,
( ( ( sK2 @ sK28 @ sK28 )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2190]) ).
thf(f2190,plain,
( ( $true
= ( $true
=> ( sK2 @ sK28 @ sK28 ) ) )
| ~ spl0_16 ),
inference(superposition,[],[f1918,f1905]) ).
thf(f1905,plain,
( ( ( sK2 @ sK28 @ sK27 )
= $true )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1904]) ).
thf(f1904,plain,
( ( ( sK2 @ sK28 @ sK27 )
= $true )
| ( $false = $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1903]) ).
thf(f1903,plain,
( ( ( sK2 @ sK28 @ sK27 )
= $true )
| ( ( $false
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) )
= $false )
| ~ spl0_16 ),
inference(superposition,[],[f1898,f131]) ).
thf(f1898,plain,
( ( $false
= ( ( sK2 @ sK27 @ sK28 )
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) ) )
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1897,f84]) ).
thf(f1897,plain,
( ( $false
= ( ( sK3 @ sK27 @ sK28 )
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) ) )
| ~ spl0_16 ),
inference(beta_eta_normalization,[],[f1896]) ).
thf(f1896,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK27 @ Y0 )
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ Y0 ) ) )
@ sK28 ) )
| ~ spl0_16 ),
inference(sigma_clausification,[],[f1893]) ).
thf(f1893,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK27 @ Y0 )
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ Y0 ) ) ) ) )
| ~ spl0_16 ),
inference(beta_eta_normalization,[],[f1892]) ).
thf(f1892,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) )
@ sK27 ) )
| ~ spl0_16 ),
inference(sigma_clausification,[],[f1820]) ).
thf(f1820,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1819]) ).
thf(f1819,plain,
( spl0_16
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f1918,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK27 )
=> ( sK2 @ X0 @ sK28 ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1911]) ).
thf(f1911,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ X0 @ sK27 )
& $true )
=> ( sK2 @ X0 @ sK28 ) ) )
| ~ spl0_16 ),
inference(superposition,[],[f60,f1902]) ).
thf(f1902,plain,
( ( ( sK2 @ sK27 @ sK28 )
= $true )
| ~ spl0_16 ),
inference(binary_proxy_clausification,[],[f1898]) ).
thf(f1938,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK4 @ sK28 ) ) ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1935]) ).
thf(f1935,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK4 @ sK28 ) ) ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f299,f1905]) ).
thf(f7828,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) ) ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f7827]) ).
thf(f7827,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) ) ) ) )
| ~ spl0_16 ),
inference(forward_demodulation,[],[f7812,f2194]) ).
thf(f7812,plain,
( ( ( ( sK2 @ sK28 @ sK28 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f7802]) ).
thf(f7802,plain,
( ( ( ( sK2 @ sK28 @ sK28 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) )
& $true ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f223,f7791]) ).
thf(f7791,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f7790]) ).
thf(f7790,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f2222,f7781]) ).
thf(f7781,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y1 @ Y0 )
=> ( sK4 @ sK28 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_16 ),
inference(binary_proxy_clausification,[],[f2222]) ).
thf(f2334,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK28 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK27 @ Y2 @ Y0 )
& ( sK4 @ sK27 @ Y1 @ Y2 ) )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f2211,f2328]) ).
thf(f2211,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2199]) ).
thf(f2199,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK28 @ Y0 @ Y1 )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK28 )
= ( sK6 @ sK28 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK28 @ Y2 @ Y0 )
& ( sK4 @ sK28 @ Y1 @ Y2 ) )
=> ( sK4 @ sK28 @ Y1 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_16 ),
inference(superposition,[],[f223,f2194]) ).
thf(f2259,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK27 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK27 @ Y2 @ Y0 )
& ( sK4 @ sK27 @ Y1 @ Y2 ) )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2244]) ).
thf(f2244,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK27 @ Y0 @ Y1 )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK27 )
= ( sK6 @ sK27 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK27 @ Y2 @ Y0 )
& ( sK4 @ sK27 @ Y1 @ Y2 ) )
=> ( sK4 @ sK27 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f223,f2235]) ).
thf(f2235,plain,
( ( $true
= ( sK2 @ sK27 @ sK27 ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f2233]) ).
thf(f2233,plain,
( ( ( $true
=> ( sK2 @ sK27 @ sK27 ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f1920,f1905]) ).
thf(f1920,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK28 @ X0 )
=> ( sK2 @ sK27 @ X0 ) ) )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1910]) ).
thf(f1910,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ sK28 @ X0 ) )
=> ( sK2 @ sK27 @ X0 ) )
= $true )
| ~ spl0_16 ),
inference(superposition,[],[f60,f1902]) ).
thf(f1907,plain,
( ( ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) )
= $false )
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1906]) ).
thf(f1906,plain,
( ( $false
= ( $true
=> ( sK6 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) ) )
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1898,f1902]) ).
thf(f1927,plain,
( ( ( sK4 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(boolean_simplification,[],[f1917]) ).
thf(f1917,plain,
( ( ( $true
=> ( sK4 @ sK27 @ ( sK23 @ sK27 ) @ ( sK24 @ sK28 ) ) )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f1862,f1902]) ).
thf(f1862,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK4 @ X2 @ ( sK23 @ X2 ) @ ( sK24 @ X1 ) ) )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(beta_eta_normalization,[],[f1861]) ).
thf(f1861,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(pi_clausification,[],[f1842]) ).
thf(f1842,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ X1 ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(beta_eta_normalization,[],[f1841]) ).
thf(f1841,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_4
| ~ spl0_16 ),
inference(pi_clausification,[],[f1833]) ).
thf(f1833,plain,
( ( $false
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1802,f1820]) ).
thf(f1802,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f1801]) ).
thf(f1801,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK23 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK24 )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK23 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
@ sK24 ) )
| ~ spl0_4 ),
inference(negative_extensionality,[],[f1797]) ).
thf(f1797,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK23 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK23 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f1796]) ).
thf(f1796,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
@ sK23 )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK23 ) )
| ~ spl0_4 ),
inference(negative_extensionality,[],[f1793]) ).
thf(f1793,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f1067]) ).
thf(f1067,plain,
( ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1066]) ).
thf(f1066,plain,
( spl0_4
<=> ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f1832,plain,
( ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1831]) ).
thf(f1831,plain,
( $false
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1830]) ).
thf(f1830,plain,
( ( $false = $true )
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1824,f1817]) ).
thf(f1824,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1823]) ).
thf(f1823,plain,
( spl0_17
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f1828,plain,
( spl0_17
| spl0_18
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1813,f1066,f1826,f1823]) ).
thf(f1813,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f1802]) ).
thf(f1821,plain,
( spl0_15
| spl0_16
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1814,f1066,f1819,f1816]) ).
thf(f1814,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK23 @ Y0 ) @ ( sK24 @ Y1 ) ) ) ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK23 @ Y1 ) @ ( sK24 @ Y0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f1802]) ).
thf(f1788,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1787]) ).
thf(f1787,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1786]) ).
thf(f1786,plain,
( ( $false = $true )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1776,f1567]) ).
thf(f1567,plain,
( ( ( sK4 @ sK19 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) )
= $false )
| ~ spl0_3 ),
inference(superposition,[],[f1400,f1171]) ).
thf(f1171,plain,
( ( $false
= ( sK4 @ sK20 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f1152]) ).
thf(f1152,plain,
( ( ( ( sK2 @ sK20 @ sK19 )
=> ( sK4 @ sK20 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1151]) ).
thf(f1151,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ sK19 )
=> ( sK4 @ Y0 @ ( sK16 @ Y0 ) @ ( sK15 @ sK19 ) ) )
@ sK20 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f1141]) ).
thf(f1141,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ sK19 )
=> ( sK4 @ Y0 @ ( sK16 @ Y0 ) @ ( sK15 @ sK19 ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1140]) ).
thf(f1140,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK16 @ Y1 ) @ ( sK15 @ Y0 ) ) ) )
@ sK19 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f1132]) ).
thf(f1132,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK16 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f1129]) ).
thf(f1129,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK15 @ Y1 ) @ ( sK16 @ Y0 ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK16 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1128]) ).
thf(f1128,plain,
( ( ( ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK15 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) )
@ sK16 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f1124]) ).
thf(f1124,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK15 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1123]) ).
thf(f1123,plain,
( ( ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
@ sK15 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f1064]) ).
thf(f1064,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1063]) ).
thf(f1063,plain,
( spl0_3
<=> ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f1400,plain,
( ! [X2: b,X1: b] :
( ( sK4 @ sK20 @ X1 @ X2 )
= ( sK4 @ sK19 @ X1 @ X2 ) )
| ~ spl0_3 ),
inference(argument_congruence,[],[f1353]) ).
thf(f1353,plain,
( ! [X1: b] :
( ( sK4 @ sK19 @ X1 )
= ( sK4 @ sK20 @ X1 ) )
| ~ spl0_3 ),
inference(argument_congruence,[],[f1342]) ).
thf(f1342,plain,
( ( ( sK4 @ sK19 )
= ( sK4 @ sK20 ) )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f1297]) ).
thf(f1297,plain,
( ( ( ( sK4 @ sK19 )
= ( sK4 @ sK20 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1296]) ).
thf(f1296,plain,
( ( ( $true
& ( ( sK4 @ sK19 )
= ( sK4 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f1193,f1291]) ).
thf(f1291,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1290]) ).
thf(f1290,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
& $true ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1289]) ).
thf(f1289,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK4 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1277]) ).
thf(f1277,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK4 @ sK20 ) ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f299,f1264]) ).
thf(f1264,plain,
( ( ( sK2 @ sK20 @ sK20 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1262]) ).
thf(f1262,plain,
( ( ( $true
=> ( sK2 @ sK20 @ sK20 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f1191,f1175]) ).
thf(f1175,plain,
( ( ( sK2 @ sK19 @ sK20 )
= $true )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1174]) ).
thf(f1174,plain,
( ( $false = $true )
| ( ( sK2 @ sK19 @ sK20 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1173]) ).
thf(f1173,plain,
( ( ( sK2 @ sK19 @ sK20 )
= $true )
| ( ( $false
=> ( sK4 @ sK20 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) ) )
= $false )
| ~ spl0_3 ),
inference(superposition,[],[f1152,f131]) ).
thf(f1191,plain,
( ! [X0: a] :
( ( ( sK2 @ sK19 @ X0 )
=> ( sK2 @ sK20 @ X0 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1182]) ).
thf(f1182,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ sK19 @ X0 ) )
=> ( sK2 @ sK20 @ X0 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f60,f1172]) ).
thf(f1172,plain,
( ( $true
= ( sK2 @ sK20 @ sK19 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f1152]) ).
thf(f1193,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK4 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1187]) ).
thf(f1187,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK4 @ sK20 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f299,f1172]) ).
thf(f1776,plain,
( ( ( sK4 @ sK19 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1770]) ).
thf(f1770,plain,
( ( ( $true
=> ( sK4 @ sK19 @ ( sK16 @ sK20 ) @ ( sK15 @ sK19 ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f1760,f1247]) ).
thf(f1247,plain,
( ( $true
= ( sK4 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1243]) ).
thf(f1243,plain,
( ( ( $true
=> ( sK4 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f1219,f1175]) ).
thf(f1219,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK4 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X1 ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1218]) ).
thf(f1218,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_3 ),
inference(pi_clausification,[],[f1199]) ).
thf(f1199,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ X1 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1198]) ).
thf(f1198,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK15 @ Y1 ) @ ( sK16 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_3 ),
inference(pi_clausification,[],[f1133]) ).
thf(f1133,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK15 @ Y1 ) @ ( sK16 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f1129]) ).
thf(f1760,plain,
( ! [X2: b,X1: b] :
( ( ( sK4 @ sK19 @ X2 @ X1 )
=> ( sK4 @ sK19 @ X1 @ X2 ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1759]) ).
thf(f1759,plain,
( ! [X2: b,X1: b] :
( $true
= ( ^ [Y0: b] :
( ( sK4 @ sK19 @ Y0 @ X1 )
=> ( sK4 @ sK19 @ X1 @ Y0 ) )
@ X2 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f1753]) ).
thf(f1753,plain,
( ! [X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ sK19 @ Y0 @ X1 )
=> ( sK4 @ sK19 @ X1 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f1747]) ).
thf(f1747,plain,
( ! [X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f1737]) ).
thf(f1737,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1731]) ).
thf(f1731,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) )
& $true )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f1330,f1729]) ).
thf(f1729,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1728]) ).
thf(f1728,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f1349,f1727]) ).
thf(f1727,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y0 @ Y1 )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK5 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1726,f1342]) ).
thf(f1726,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1725]) ).
thf(f1725,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1720,f1264]) ).
thf(f1720,plain,
( ( ( ( sK2 @ sK20 @ sK20 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1715]) ).
thf(f1715,plain,
( ( ( ( sK2 @ sK20 @ sK20 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) )
& $true ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f1250,f1697]) ).
thf(f1697,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1696]) ).
thf(f1696,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f1291,f1687]) ).
thf(f1687,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y1 @ Y0 )
=> ( sK4 @ sK20 @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f1291]) ).
thf(f1250,plain,
! [X1: a] :
( ( ( sK2 @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ X1 @ Y0 @ Y1 )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ X1 )
= ( sK5 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ X1 @ Y2 @ Y0 )
& ( sK4 @ X1 @ Y1 @ Y2 ) )
=> ( sK4 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f1249]) ).
thf(f1249,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f1098]) ).
thf(f1098,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y0 @ Y1 @ Y2 )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( ( sK4 @ Y0 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK4 @ Y0 @ Y3 @ Y1 )
& ( sK4 @ Y0 @ Y2 @ Y3 ) )
=> ( sK4 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f1349,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y0 @ Y1 )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK5 @ sK20 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f1287,f1342]) ).
thf(f1287,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1269]) ).
thf(f1269,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK20 @ Y0 @ Y1 )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) )
& ( ( sK4 @ sK20 )
= ( sK5 @ sK20 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK20 @ Y2 @ Y0 )
& ( sK4 @ sK20 @ Y1 @ Y2 ) )
=> ( sK4 @ sK20 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f1250,f1264]) ).
thf(f1330,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1329]) ).
thf(f1329,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1328]) ).
thf(f1328,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK4 @ sK19 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1320]) ).
thf(f1320,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK19 @ Y1 @ Y0 )
=> ( sK4 @ sK19 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK19 @ Y2 @ Y0 )
& ( sK4 @ sK19 @ Y1 @ Y2 ) )
=> ( sK4 @ sK19 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK19 )
= ( sK4 @ sK19 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f299,f1304]) ).
thf(f1304,plain,
( ( ( sK2 @ sK19 @ sK19 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1301]) ).
thf(f1301,plain,
( ( $true
= ( $true
=> ( sK2 @ sK19 @ sK19 ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f1195,f1175]) ).
thf(f1195,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK20 )
=> ( sK2 @ X0 @ sK19 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f1183]) ).
thf(f1183,plain,
( ! [X0: a] :
( ( ( ( sK2 @ X0 @ sK20 )
& $true )
=> ( sK2 @ X0 @ sK19 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f60,f1172]) ).
thf(f1068,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1061,f48,f1066,f1063]) ).
thf(f48,plain,
( spl0_1
<=> ( $false
= ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f1061,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
| ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( $false
= ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f1058,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1057]) ).
thf(f1057,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1056]) ).
thf(f1056,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1042,f89]) ).
thf(f89,plain,
( ( $false
= ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ sK11 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
( ( $false
= ( ( sK2 @ sK10 @ sK11 )
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ sK11 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f85]) ).
thf(f85,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK10 @ Y0 )
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ Y0 ) ) )
@ sK11 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f83]) ).
thf(f83,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK10 @ Y0 )
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ Y0 ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) )
@ sK10 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f78]) ).
thf(f78,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f77]) ).
thf(f77,plain,
( ( $false
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f71,f76]) ).
thf(f76,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK9 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK9 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f71]) ).
thf(f71,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK9 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK9 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f70]) ).
thf(f70,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( Y0 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) )
@ sK9 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f65]) ).
thf(f65,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( Y0 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f64]) ).
thf(f64,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( sK7 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK4 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f62]) ).
thf(f62,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( sK7 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK4 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f61]) ).
thf(f61,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) )
@ sK7 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f52]) ).
thf(f52,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f51,plain,
( spl0_2
<=> ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f1042,plain,
( ( $true
= ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ sK11 ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f1038]) ).
thf(f1038,plain,
( ( $true
= ( $true
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK8 @ sK11 ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f696,f126]) ).
thf(f126,plain,
( ( ( sK4 @ sK10 @ ( sK12 @ sK10 ) @ ( sK8 @ sK11 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f125]) ).
thf(f125,plain,
( ( ( $true
=> ( sK4 @ sK10 @ ( sK12 @ sK10 ) @ ( sK8 @ sK11 ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f121,f90]) ).
thf(f90,plain,
( ( ( sK2 @ sK10 @ sK11 )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f121,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK4 @ X1 @ ( sK12 @ X1 ) @ ( sK8 @ X2 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f120]) ).
thf(f120,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK4 @ X1 @ ( sK12 @ X1 ) @ ( sK8 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f117]) ).
thf(f117,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK4 @ X1 @ ( sK12 @ X1 ) @ ( sK8 @ Y0 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f116]) ).
thf(f116,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK12 @ Y0 ) @ ( sK8 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f112]) ).
thf(f112,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK12 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f111]) ).
thf(f111,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK12 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f103,f110]) ).
thf(f110,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK12 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f103]) ).
thf(f103,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK12 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK12 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f102]) ).
thf(f102,plain,
( ( $false
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK12 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ ( sK12 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f101]) ).
thf(f101,plain,
( ( ( ^ [Y0: a > b] :
~ ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( Y0 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) )
@ sK12 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f80]) ).
thf(f80,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
~ ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( Y0 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f79]) ).
thf(f79,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK4 @ Y2 @ ( sK7 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK4 @ Y1 @ ( Y0 @ Y1 ) @ ( sK8 @ Y2 ) ) ) ) ) )
=> $false ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f65,f78]) ).
thf(f696,plain,
( ! [X0: b] :
( ( ( sK4 @ sK10 @ ( sK12 @ sK10 ) @ X0 )
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f667]) ).
thf(f667,plain,
( ! [X0: b] :
( ( ( ( sK4 @ sK10 @ ( sK12 @ sK10 ) @ X0 )
& $true )
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f633,f169]) ).
thf(f169,plain,
( ( $true
= ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK12 @ sK10 ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f167]) ).
thf(f167,plain,
( ( $true
= ( $true
=> ( sK4 @ sK10 @ ( sK7 @ sK10 ) @ ( sK12 @ sK10 ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f137,f148]) ).
thf(f148,plain,
( ( ( sK2 @ sK10 @ sK10 )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f139]) ).
thf(f139,plain,
( ( ( $true
=> ( sK2 @ sK10 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f100,f135]) ).
thf(f135,plain,
( ( $true
= ( sK2 @ sK11 @ sK10 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f133]) ).
thf(f133,plain,
( ( ( $true
=> ( sK2 @ sK11 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f123,f90]) ).
thf(f100,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK11 @ X0 )
=> ( sK2 @ sK10 @ X0 ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f95]) ).
thf(f95,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ sK11 @ X0 ) )
=> ( sK2 @ sK10 @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f60,f90]) ).
thf(f137,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK4 @ X2 @ ( sK7 @ X2 ) @ ( sK12 @ X1 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f136]) ).
thf(f136,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK12 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f130]) ).
thf(f130,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK4 @ Y0 @ ( sK7 @ Y0 ) @ ( sK12 @ X1 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f129]) ).
thf(f129,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ ( sK7 @ Y1 ) @ ( sK12 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f110]) ).
thf(f633,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ( ( sK4 @ sK10 @ X3 @ X1 )
& ( sK4 @ sK10 @ X2 @ X3 ) )
=> ( sK4 @ sK10 @ X2 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f632,f388]) ).
thf(f388,plain,
( ! [X2: b,X1: b] :
( ( sK4 @ sK11 @ X1 @ X2 )
= ( sK4 @ sK10 @ X1 @ X2 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f334]) ).
thf(f334,plain,
( ! [X1: b] :
( ( sK4 @ sK10 @ X1 )
= ( sK4 @ sK11 @ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f323]) ).
thf(f323,plain,
( ( ( sK4 @ sK10 )
= ( sK4 @ sK11 ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f318]) ).
thf(f318,plain,
( ( ( ( sK4 @ sK11 )
= ( sK4 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f317]) ).
thf(f317,plain,
( ( ( $true
& ( ( sK4 @ sK11 )
= ( sK4 @ sK10 ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f316,f315]) ).
thf(f315,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f314]) ).
thf(f314,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f313]) ).
thf(f313,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK10 )
= ( sK4 @ sK10 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f305]) ).
thf(f305,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK10 )
= ( sK4 @ sK10 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f299,f148]) ).
thf(f316,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK11 )
= ( sK4 @ sK10 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f306]) ).
thf(f306,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK10 @ Y1 @ Y0 )
=> ( sK4 @ sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK10 @ Y2 @ Y0 )
& ( sK4 @ sK10 @ Y1 @ Y2 ) )
=> ( sK4 @ sK10 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK11 )
= ( sK4 @ sK10 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f299,f90]) ).
thf(f632,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ( ( sK4 @ sK10 @ X3 @ X1 )
& ( sK4 @ sK11 @ X2 @ X3 ) )
=> ( sK4 @ sK10 @ X2 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f631,f388]) ).
thf(f631,plain,
( ! [X2: b,X3: b,X1: b] :
( $true
= ( ( ( sK4 @ sK11 @ X3 @ X1 )
& ( sK4 @ sK11 @ X2 @ X3 ) )
=> ( sK4 @ sK10 @ X2 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f630]) ).
thf(f630,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ^ [Y0: b] :
( ( ( sK4 @ sK11 @ Y0 @ X1 )
& ( sK4 @ sK11 @ X2 @ Y0 ) )
=> ( sK4 @ sK10 @ X2 @ X1 ) )
@ X3 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f625]) ).
thf(f625,plain,
( ! [X2: b,X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( ( sK4 @ sK11 @ Y0 @ X1 )
& ( sK4 @ sK11 @ X2 @ Y0 ) )
=> ( sK4 @ sK10 @ X2 @ X1 ) ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f624,f388]) ).
thf(f624,plain,
( ! [X2: b,X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( ( sK4 @ sK11 @ Y0 @ X1 )
& ( sK4 @ sK11 @ X2 @ Y0 ) )
=> ( sK4 @ sK11 @ X2 @ X1 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f623]) ).
thf(f623,plain,
( ! [X2: b,X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK4 @ sK11 @ Y1 @ X1 )
& ( sK4 @ sK11 @ Y0 @ Y1 ) )
=> ( sK4 @ sK11 @ Y0 @ X1 ) ) )
@ X2 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f510]) ).
thf(f510,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK4 @ sK11 @ Y1 @ X1 )
& ( sK4 @ sK11 @ Y0 @ Y1 ) )
=> ( sK4 @ sK11 @ Y0 @ X1 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f505]) ).
thf(f505,plain,
( ! [X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f499]) ).
thf(f499,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f498]) ).
thf(f498,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f311,f493]) ).
thf(f493,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK11 @ Y1 @ Y0 )
=> ( sK4 @ sK11 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f311]) ).
thf(f311,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK11 @ Y1 @ Y0 )
=> ( sK4 @ sK11 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f310]) ).
thf(f310,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK11 @ Y1 @ Y0 )
=> ( sK4 @ sK11 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) )
& $true ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f309]) ).
thf(f309,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK11 @ Y1 @ Y0 )
=> ( sK4 @ sK11 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK11 )
= ( sK4 @ sK11 ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f307]) ).
thf(f307,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ sK11 @ Y1 @ Y0 )
=> ( sK4 @ sK11 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK4 @ sK11 @ Y2 @ Y0 )
& ( sK4 @ sK11 @ Y1 @ Y2 ) )
=> ( sK4 @ sK11 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK4 @ sK11 )
= ( sK4 @ sK11 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f299,f152]) ).
thf(f152,plain,
( ( $true
= ( sK2 @ sK11 @ sK11 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f138]) ).
thf(f138,plain,
( ( ( $true
=> ( sK2 @ sK11 @ sK11 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f98,f135]) ).
thf(f98,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK10 )
=> ( sK2 @ X0 @ sK11 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f96]) ).
thf(f96,plain,
( ! [X0: a] :
( ( ( ( sK2 @ X0 @ sK10 )
& $true )
=> ( sK2 @ X0 @ sK11 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f60,f90]) ).
thf(f53,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f51,f48]) ).
thf(f46,plain,
( ( $false
= ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
| ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( $false
= ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f42]) ).
thf(f42,plain,
( ( $true
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK4 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK4 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK4 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f37,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV041^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 18:50:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (29874)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (29881)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)
% 0.14/0.39 % (29881)Instruction limit reached!
% 0.14/0.39 % (29881)------------------------------
% 0.14/0.39 % (29881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29881)Termination reason: Unknown
% 0.14/0.39 % (29881)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (29881)Memory used [KB]: 1023
% 0.14/0.39 % (29881)Time elapsed: 0.005 s
% 0.14/0.39 % (29881)Instructions burned: 3 (million)
% 0.14/0.39 % (29881)------------------------------
% 0.14/0.39 % (29881)------------------------------
% 0.14/0.39 % (29877)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (29875)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)
% 0.14/0.39 % (29876)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)
% 0.14/0.39 % (29877)Instruction limit reached!
% 0.14/0.39 % (29877)------------------------------
% 0.14/0.39 % (29877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29878)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)
% 0.14/0.39 % (29877)Termination reason: Unknown
% 0.14/0.39 % (29877)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (29877)Memory used [KB]: 1023
% 0.14/0.39 % (29877)Time elapsed: 0.004 s
% 0.14/0.39 % (29880)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (29879)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)
% 0.14/0.39 % (29877)Instructions burned: 2 (million)
% 0.14/0.39 % (29877)------------------------------
% 0.14/0.39 % (29877)------------------------------
% 0.14/0.39 % (29878)Instruction limit reached!
% 0.14/0.39 % (29878)------------------------------
% 0.14/0.39 % (29878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29878)Termination reason: Unknown
% 0.14/0.39 % (29878)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (29878)Memory used [KB]: 1023
% 0.14/0.39 % (29878)Time elapsed: 0.004 s
% 0.14/0.39 % (29878)Instructions burned: 2 (million)
% 0.14/0.39 % (29878)------------------------------
% 0.14/0.39 % (29878)------------------------------
% 0.14/0.39 % (29875)Instruction limit reached!
% 0.14/0.39 % (29875)------------------------------
% 0.14/0.39 % (29875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29875)Termination reason: Unknown
% 0.14/0.39 % (29875)Termination phase: Preprocessing 3
% 0.14/0.39
% 0.14/0.39 % (29875)Memory used [KB]: 1023
% 0.14/0.39 % (29875)Time elapsed: 0.006 s
% 0.14/0.39 % (29875)Instructions burned: 4 (million)
% 0.14/0.39 % (29875)------------------------------
% 0.14/0.39 % (29875)------------------------------
% 0.21/0.41 % (29880)Instruction limit reached!
% 0.21/0.41 % (29880)------------------------------
% 0.21/0.41 % (29880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (29883)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)
% 0.21/0.41 % (29880)Termination reason: Unknown
% 0.21/0.41 % (29880)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (29880)Memory used [KB]: 5628
% 0.21/0.41 % (29880)Time elapsed: 0.020 s
% 0.21/0.41 % (29880)Instructions burned: 18 (million)
% 0.21/0.41 % (29880)------------------------------
% 0.21/0.41 % (29880)------------------------------
% 0.21/0.42 % (29883)Instruction limit reached!
% 0.21/0.42 % (29883)------------------------------
% 0.21/0.42 % (29883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29883)Termination reason: Unknown
% 0.21/0.42 % (29883)Termination phase: Saturation
% 0.21/0.42 % (29876)Instruction limit reached!
% 0.21/0.42 % (29876)------------------------------
% 0.21/0.42 % (29876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29876)Termination reason: Unknown
% 0.21/0.42 % (29876)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (29876)Memory used [KB]: 5756
% 0.21/0.42 % (29876)Time elapsed: 0.029 s
% 0.21/0.42 % (29876)Instructions burned: 27 (million)
% 0.21/0.42 % (29876)------------------------------
% 0.21/0.42 % (29876)------------------------------
% 0.21/0.42
% 0.21/0.42 % (29883)Memory used [KB]: 5756
% 0.21/0.42 % (29884)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)
% 0.21/0.42 % (29883)Time elapsed: 0.010 s
% 0.21/0.42 % (29883)Instructions burned: 16 (million)
% 0.21/0.42 % (29883)------------------------------
% 0.21/0.42 % (29883)------------------------------
% 0.21/0.42 % (29885)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)
% 0.21/0.42 % (29884)Instruction limit reached!
% 0.21/0.42 % (29884)------------------------------
% 0.21/0.42 % (29884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (29884)Termination reason: Unknown
% 0.21/0.42 % (29884)Termination phase: Unused predicate definition removal
% 0.21/0.42
% 0.21/0.42 % (29884)Memory used [KB]: 1023
% 0.21/0.42 % (29884)Time elapsed: 0.005 s
% 0.21/0.42 % (29884)Instructions burned: 3 (million)
% 0.21/0.42 % (29884)------------------------------
% 0.21/0.42 % (29884)------------------------------
% 0.21/0.42 % (29882)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)
% 0.21/0.43 % (29886)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (29888)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)
% 0.21/0.43 % (29886)Instruction limit reached!
% 0.21/0.43 % (29886)------------------------------
% 0.21/0.43 % (29886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (29886)Termination reason: Unknown
% 0.21/0.43 % (29886)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (29886)Memory used [KB]: 1023
% 0.21/0.43 % (29886)Time elapsed: 0.005 s
% 0.21/0.43 % (29886)Instructions burned: 8 (million)
% 0.21/0.43 % (29886)------------------------------
% 0.21/0.43 % (29886)------------------------------
% 0.21/0.43 % (29889)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)
% 0.21/0.43 % (29887)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.44 % (29889)Instruction limit reached!
% 0.21/0.44 % (29889)------------------------------
% 0.21/0.44 % (29889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29888)Instruction limit reached!
% 0.21/0.44 % (29888)------------------------------
% 0.21/0.44 % (29888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29888)Termination reason: Unknown
% 0.21/0.44 % (29888)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (29888)Memory used [KB]: 1023
% 0.21/0.44 % (29888)Time elapsed: 0.003 s
% 0.21/0.44 % (29888)Instructions burned: 3 (million)
% 0.21/0.44 % (29888)------------------------------
% 0.21/0.44 % (29888)------------------------------
% 0.21/0.44 % (29889)Termination reason: Unknown
% 0.21/0.44 % (29889)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (29889)Memory used [KB]: 1023
% 0.21/0.44 % (29889)Time elapsed: 0.003 s
% 0.21/0.44 % (29889)Instructions burned: 3 (million)
% 0.21/0.44 % (29889)------------------------------
% 0.21/0.44 % (29889)------------------------------
% 0.21/0.44 % (29882)Instruction limit reached!
% 0.21/0.44 % (29882)------------------------------
% 0.21/0.44 % (29882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29882)Termination reason: Unknown
% 0.21/0.44 % (29882)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (29882)Memory used [KB]: 5628
% 0.21/0.44 % (29882)Time elapsed: 0.024 s
% 0.21/0.44 % (29882)Instructions burned: 37 (million)
% 0.21/0.44 % (29882)------------------------------
% 0.21/0.44 % (29882)------------------------------
% 0.21/0.44 % (29887)Instruction limit reached!
% 0.21/0.44 % (29887)------------------------------
% 0.21/0.44 % (29887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (29887)Termination reason: Unknown
% 0.21/0.44 % (29887)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (29887)Memory used [KB]: 5756
% 0.21/0.44 % (29887)Time elapsed: 0.010 s
% 0.21/0.44 % (29887)Instructions burned: 16 (million)
% 0.21/0.44 % (29887)------------------------------
% 0.21/0.44 % (29887)------------------------------
% 0.21/0.45 % (29891)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (29892)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (29891)Instruction limit reached!
% 0.21/0.45 % (29891)------------------------------
% 0.21/0.45 % (29891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (29891)Termination reason: Unknown
% 0.21/0.45 % (29891)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (29891)Memory used [KB]: 1023
% 0.21/0.45 % (29891)Time elapsed: 0.003 s
% 0.21/0.45 % (29891)Instructions burned: 3 (million)
% 0.21/0.45 % (29891)------------------------------
% 0.21/0.45 % (29891)------------------------------
% 0.21/0.45 % (29890)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (29892)Instruction limit reached!
% 0.21/0.45 % (29892)------------------------------
% 0.21/0.45 % (29892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (29892)Termination reason: Unknown
% 0.21/0.45 % (29892)Termination phase: Preprocessing 3
% 0.21/0.45
% 0.21/0.45 % (29892)Memory used [KB]: 1023
% 0.21/0.45 % (29892)Time elapsed: 0.004 s
% 0.21/0.45 % (29892)Instructions burned: 4 (million)
% 0.21/0.45 % (29892)------------------------------
% 0.21/0.45 % (29892)------------------------------
% 0.21/0.46 % (29890)Instruction limit reached!
% 0.21/0.46 % (29890)------------------------------
% 0.21/0.46 % (29890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (29890)Termination reason: Unknown
% 0.21/0.46 % (29890)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (29890)Memory used [KB]: 5500
% 0.21/0.46 % (29890)Time elapsed: 0.006 s
% 0.21/0.46 % (29890)Instructions burned: 8 (million)
% 0.21/0.46 % (29890)------------------------------
% 0.21/0.46 % (29890)------------------------------
% 0.21/0.46 % (29894)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.46 % (29893)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.47 % (29896)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.47 % (29895)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (29897)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.47 % (29893)Instruction limit reached!
% 0.21/0.47 % (29893)------------------------------
% 0.21/0.47 % (29893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29893)Termination reason: Unknown
% 0.21/0.47 % (29893)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (29893)Memory used [KB]: 5628
% 0.21/0.47 % (29893)Time elapsed: 0.012 s
% 0.21/0.47 % (29893)Instructions burned: 19 (million)
% 0.21/0.47 % (29893)------------------------------
% 0.21/0.47 % (29893)------------------------------
% 0.21/0.47 % (29895)Instruction limit reached!
% 0.21/0.47 % (29895)------------------------------
% 0.21/0.47 % (29895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (29895)Termination reason: Unknown
% 0.21/0.47 % (29895)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (29895)Memory used [KB]: 1023
% 0.21/0.47 % (29895)Time elapsed: 0.004 s
% 0.21/0.47 % (29895)Instructions burned: 6 (million)
% 0.21/0.47 % (29895)------------------------------
% 0.21/0.47 % (29895)------------------------------
% 0.21/0.48 % (29874)Instruction limit reached!
% 0.21/0.48 % (29874)------------------------------
% 0.21/0.48 % (29874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (29874)Termination reason: Unknown
% 0.21/0.48 % (29874)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (29874)Memory used [KB]: 5884
% 0.21/0.48 % (29874)Time elapsed: 0.100 s
% 0.21/0.48 % (29874)Instructions burned: 184 (million)
% 0.21/0.48 % (29874)------------------------------
% 0.21/0.48 % (29874)------------------------------
% 0.21/0.48 % (29897)Instruction limit reached!
% 0.21/0.48 % (29897)------------------------------
% 0.21/0.48 % (29897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (29897)Termination reason: Unknown
% 0.21/0.48 % (29897)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (29897)Memory used [KB]: 5756
% 0.21/0.48 % (29897)Time elapsed: 0.014 s
% 0.21/0.48 % (29897)Instructions burned: 21 (million)
% 0.21/0.48 % (29897)------------------------------
% 0.21/0.48 % (29897)------------------------------
% 0.21/0.49 % (29899)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.49 % (29898)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.49 % (29899)Instruction limit reached!
% 0.21/0.49 % (29899)------------------------------
% 0.21/0.49 % (29899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (29899)Termination reason: Unknown
% 0.21/0.49 % (29899)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (29899)Memory used [KB]: 5500
% 0.21/0.49 % (29899)Time elapsed: 0.005 s
% 0.21/0.49 % (29899)Instructions burned: 7 (million)
% 0.21/0.49 % (29899)------------------------------
% 0.21/0.49 % (29899)------------------------------
% 0.21/0.49 % (29898)Instruction limit reached!
% 0.21/0.49 % (29898)------------------------------
% 0.21/0.49 % (29898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (29898)Termination reason: Unknown
% 0.21/0.49 % (29898)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (29898)Memory used [KB]: 1023
% 0.21/0.49 % (29898)Time elapsed: 0.004 s
% 0.21/0.49 % (29898)Instructions burned: 5 (million)
% 0.21/0.49 % (29898)------------------------------
% 0.21/0.49 % (29898)------------------------------
% 0.21/0.49 % (29900)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (29901)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.50 % (29903)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.51 % (29902)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.51 % (29902)Instruction limit reached!
% 0.21/0.51 % (29902)------------------------------
% 0.21/0.51 % (29902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (29902)Termination reason: Unknown
% 0.21/0.51 % (29902)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (29902)Memory used [KB]: 5500
% 0.21/0.51 % (29902)Time elapsed: 0.011 s
% 0.21/0.51 % (29902)Instructions burned: 19 (million)
% 0.21/0.51 % (29902)------------------------------
% 0.21/0.51 % (29902)------------------------------
% 1.30/0.53 % (29904)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.42/0.54 % (29879)Instruction limit reached!
% 1.42/0.54 % (29879)------------------------------
% 1.42/0.54 % (29879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.54 % (29879)Termination reason: Unknown
% 1.42/0.54 % (29879)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (29879)Memory used [KB]: 5884
% 1.42/0.54 % (29879)Time elapsed: 0.138 s
% 1.42/0.54 % (29879)Instructions burned: 276 (million)
% 1.42/0.54 % (29879)------------------------------
% 1.42/0.54 % (29879)------------------------------
% 1.42/0.54 % (29904)Instruction limit reached!
% 1.42/0.54 % (29904)------------------------------
% 1.42/0.54 % (29904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.54 % (29904)Termination reason: Unknown
% 1.42/0.54 % (29904)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (29904)Memory used [KB]: 5628
% 1.42/0.54 % (29904)Time elapsed: 0.012 s
% 1.42/0.54 % (29904)Instructions burned: 18 (million)
% 1.42/0.54 % (29904)------------------------------
% 1.42/0.54 % (29904)------------------------------
% 1.42/0.55 % (29905)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.42/0.55 % (29905)Instruction limit reached!
% 1.42/0.55 % (29905)------------------------------
% 1.42/0.55 % (29905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.55 % (29905)Termination reason: Unknown
% 1.42/0.55 % (29905)Termination phase: Preprocessing 1
% 1.42/0.55
% 1.42/0.55 % (29905)Memory used [KB]: 1023
% 1.42/0.55 % (29905)Time elapsed: 0.002 s
% 1.42/0.55 % (29905)Instructions burned: 3 (million)
% 1.42/0.55 % (29905)------------------------------
% 1.42/0.55 % (29905)------------------------------
% 1.42/0.56 % (29906)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.42/0.56 % (29907)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.42/0.57 % (29906)Refutation not found, incomplete strategy
% 1.42/0.57 % (29906)------------------------------
% 1.42/0.57 % (29906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.57 % (29906)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.57
% 1.42/0.57
% 1.42/0.57 % (29906)Memory used [KB]: 5756
% 1.42/0.57 % (29906)Time elapsed: 0.011 s
% 1.42/0.57 % (29906)Instructions burned: 17 (million)
% 1.42/0.57 % (29906)------------------------------
% 1.42/0.57 % (29906)------------------------------
% 1.42/0.58 % (29908)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.42/0.60 % (29907)Instruction limit reached!
% 1.42/0.60 % (29907)------------------------------
% 1.42/0.60 % (29907)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.60 % (29907)Termination reason: Unknown
% 1.42/0.60 % (29907)Termination phase: Saturation
% 1.42/0.60
% 1.42/0.60 % (29907)Memory used [KB]: 5884
% 1.42/0.60 % (29907)Time elapsed: 0.045 s
% 1.42/0.60 % (29907)Instructions burned: 128 (million)
% 1.42/0.60 % (29907)------------------------------
% 1.42/0.60 % (29907)------------------------------
% 1.42/0.61 % (29909)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.42/0.61 % (29909)Instruction limit reached!
% 1.42/0.61 % (29909)------------------------------
% 1.42/0.61 % (29909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.61 % (29909)Termination reason: Unknown
% 1.42/0.61 % (29909)Termination phase: shuffling
% 1.42/0.61
% 1.42/0.61 % (29909)Memory used [KB]: 1023
% 1.42/0.61 % (29909)Time elapsed: 0.002 s
% 1.42/0.61 % (29909)Instructions burned: 3 (million)
% 1.42/0.61 % (29909)------------------------------
% 1.42/0.61 % (29909)------------------------------
% 1.42/0.62 % (29910)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.42/0.63 % (29910)Instruction limit reached!
% 1.42/0.63 % (29910)------------------------------
% 1.42/0.63 % (29910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.63 % (29910)Termination reason: Unknown
% 1.42/0.63 % (29910)Termination phase: Saturation
% 1.42/0.63
% 1.42/0.63 % (29910)Memory used [KB]: 5756
% 1.42/0.63 % (29910)Time elapsed: 0.009 s
% 1.42/0.63 % (29910)Instructions burned: 21 (million)
% 1.42/0.63 % (29910)------------------------------
% 1.42/0.63 % (29910)------------------------------
% 2.16/0.63 % (29908)Instruction limit reached!
% 2.16/0.63 % (29908)------------------------------
% 2.16/0.63 % (29908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.63 % (29908)Termination reason: Unknown
% 2.16/0.63 % (29908)Termination phase: Saturation
% 2.16/0.63
% 2.16/0.63 % (29908)Memory used [KB]: 5756
% 2.16/0.63 % (29908)Time elapsed: 0.053 s
% 2.16/0.63 % (29908)Instructions burned: 101 (million)
% 2.16/0.63 % (29908)------------------------------
% 2.16/0.63 % (29908)------------------------------
% 2.16/0.64 % (29911)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.16/0.65 % (29912)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.16/0.66 % (29911)Instruction limit reached!
% 2.16/0.66 % (29911)------------------------------
% 2.16/0.66 % (29911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.66 % (29911)Termination reason: Unknown
% 2.16/0.66 % (29911)Termination phase: Saturation
% 2.16/0.66
% 2.16/0.66 % (29911)Memory used [KB]: 6012
% 2.16/0.66 % (29911)Time elapsed: 0.030 s
% 2.16/0.66 % (29911)Instructions burned: 88 (million)
% 2.16/0.66 % (29911)------------------------------
% 2.16/0.66 % (29911)------------------------------
% 2.16/0.67 % (29913)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.16/0.68 % (29900)Instruction limit reached!
% 2.16/0.68 % (29900)------------------------------
% 2.16/0.68 % (29900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.68 % (29900)Termination reason: Unknown
% 2.16/0.68 % (29900)Termination phase: Saturation
% 2.16/0.68
% 2.16/0.68 % (29900)Memory used [KB]: 5884
% 2.16/0.68 % (29900)Time elapsed: 0.187 s
% 2.16/0.68 % (29900)Instructions burned: 378 (million)
% 2.16/0.68 % (29900)------------------------------
% 2.16/0.68 % (29900)------------------------------
% 2.16/0.69 % (29913)Instruction limit reached!
% 2.16/0.69 % (29913)------------------------------
% 2.16/0.69 % (29913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.69 % (29913)Termination reason: Unknown
% 2.16/0.69 % (29913)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (29913)Memory used [KB]: 5628
% 2.16/0.69 % (29913)Time elapsed: 0.014 s
% 2.16/0.69 % (29913)Instructions burned: 40 (million)
% 2.16/0.69 % (29913)------------------------------
% 2.16/0.69 % (29913)------------------------------
% 2.16/0.69 % (29914)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.64/0.71 % (29915)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.64/0.71 % (29912)Instruction limit reached!
% 2.64/0.71 % (29912)------------------------------
% 2.64/0.71 % (29912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.64/0.71 % (29912)Termination reason: Unknown
% 2.64/0.71 % (29912)Termination phase: Saturation
% 2.64/0.71
% 2.64/0.71 % (29912)Memory used [KB]: 6140
% 2.64/0.71 % (29912)Time elapsed: 0.060 s
% 2.64/0.71 % (29912)Instructions burned: 108 (million)
% 2.64/0.71 % (29912)------------------------------
% 2.64/0.71 % (29912)------------------------------
% 2.64/0.73 % (29916)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.64/0.73 % (29915)Instruction limit reached!
% 2.64/0.73 % (29915)------------------------------
% 2.64/0.73 % (29915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.64/0.73 % (29915)Termination reason: Unknown
% 2.64/0.73 % (29915)Termination phase: Saturation
% 2.64/0.73
% 2.64/0.73 % (29915)Memory used [KB]: 5884
% 2.64/0.73 % (29915)Time elapsed: 0.051 s
% 2.64/0.73 % (29915)Instructions burned: 46 (million)
% 2.64/0.73 % (29915)------------------------------
% 2.64/0.73 % (29915)------------------------------
% 2.64/0.75 % (29917)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 3.08/0.77 % (29916)Instruction limit reached!
% 3.08/0.77 % (29916)------------------------------
% 3.08/0.77 % (29916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.08/0.77 % (29916)Termination reason: Unknown
% 3.08/0.77 % (29916)Termination phase: Saturation
% 3.08/0.77
% 3.08/0.77 % (29916)Memory used [KB]: 1279
% 3.08/0.77 % (29916)Time elapsed: 0.070 s
% 3.08/0.77 % (29916)Instructions burned: 98 (million)
% 3.08/0.77 % (29916)------------------------------
% 3.08/0.77 % (29916)------------------------------
% 3.08/0.79 % (29918)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 3.34/0.80 % (29894)Instruction limit reached!
% 3.34/0.80 % (29894)------------------------------
% 3.34/0.80 % (29894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.34/0.80 % (29894)Termination reason: Unknown
% 3.34/0.80 % (29894)Termination phase: Saturation
% 3.34/0.80
% 3.34/0.80 % (29894)Memory used [KB]: 7291
% 3.34/0.80 % (29894)Time elapsed: 0.344 s
% 3.34/0.80 % (29894)Instructions burned: 711 (million)
% 3.34/0.80 % (29894)------------------------------
% 3.34/0.80 % (29894)------------------------------
% 3.34/0.81 % (29919)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 3.34/0.83 % (29919)Instruction limit reached!
% 3.34/0.83 % (29919)------------------------------
% 3.34/0.83 % (29919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.34/0.83 % (29919)Termination reason: Unknown
% 3.34/0.83 % (29919)Termination phase: Saturation
% 3.34/0.83
% 3.34/0.83 % (29919)Memory used [KB]: 5756
% 3.34/0.83 % (29919)Time elapsed: 0.021 s
% 3.34/0.83 % (29919)Instructions burned: 39 (million)
% 3.34/0.83 % (29919)------------------------------
% 3.34/0.83 % (29919)------------------------------
% 3.52/0.85 % (29920)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.52/0.85 % (29920)Instruction limit reached!
% 3.52/0.85 % (29920)------------------------------
% 3.52/0.85 % (29920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.85 % (29920)Termination reason: Unknown
% 3.52/0.85 % (29920)Termination phase: Property scanning
% 3.52/0.85
% 3.52/0.85 % (29920)Memory used [KB]: 1023
% 3.52/0.85 % (29920)Time elapsed: 0.004 s
% 3.52/0.85 % (29920)Instructions burned: 6 (million)
% 3.52/0.85 % (29920)------------------------------
% 3.52/0.85 % (29920)------------------------------
% 3.52/0.86 % (29921)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 3.52/0.87 % (29901)Instruction limit reached!
% 3.52/0.87 % (29901)------------------------------
% 3.52/0.87 % (29901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.87 % (29901)Termination reason: Unknown
% 3.52/0.87 % (29901)Termination phase: Saturation
% 3.52/0.87
% 3.52/0.87 % (29901)Memory used [KB]: 6268
% 3.52/0.87 % (29901)Time elapsed: 0.372 s
% 3.52/0.87 % (29901)Instructions burned: 779 (million)
% 3.52/0.87 % (29901)------------------------------
% 3.52/0.87 % (29901)------------------------------
% 3.52/0.88 % (29914)Instruction limit reached!
% 3.52/0.88 % (29914)------------------------------
% 3.52/0.88 % (29914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.88 % (29914)Termination reason: Unknown
% 3.52/0.88 % (29914)Termination phase: Saturation
% 3.52/0.88
% 3.52/0.88 % (29914)Memory used [KB]: 6140
% 3.52/0.88 % (29914)Time elapsed: 0.211 s
% 3.52/0.88 % (29914)Instructions burned: 449 (million)
% 3.52/0.88 % (29914)------------------------------
% 3.52/0.88 % (29914)------------------------------
% 3.52/0.89 % (29923)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 3.52/0.90 % (29922)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 3.52/0.90 % (29918)Instruction limit reached!
% 3.52/0.90 % (29918)------------------------------
% 3.52/0.90 % (29918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.90 % (29918)Termination reason: Unknown
% 3.52/0.90 % (29918)Termination phase: Saturation
% 3.52/0.90
% 3.52/0.90 % (29918)Memory used [KB]: 6012
% 3.52/0.90 % (29918)Time elapsed: 0.126 s
% 3.52/0.90 % (29918)Instructions burned: 150 (million)
% 3.52/0.90 % (29918)------------------------------
% 3.52/0.90 % (29918)------------------------------
% 3.52/0.91 % (29896)Instruction limit reached!
% 3.52/0.91 % (29896)------------------------------
% 3.52/0.91 % (29896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.91 % (29896)Termination reason: Unknown
% 3.52/0.91 % (29896)Termination phase: Saturation
% 3.52/0.91
% 3.52/0.91 % (29896)Memory used [KB]: 6780
% 3.52/0.91 % (29896)Time elapsed: 0.442 s
% 3.52/0.91 % (29896)Instructions burned: 903 (million)
% 3.52/0.91 % (29896)------------------------------
% 3.52/0.91 % (29896)------------------------------
% 3.52/0.91 % (29923)Instruction limit reached!
% 3.52/0.91 % (29923)------------------------------
% 3.52/0.91 % (29923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.91 % (29923)Termination reason: Unknown
% 3.52/0.91 % (29923)Termination phase: Saturation
% 3.52/0.91
% 3.52/0.91 % (29923)Memory used [KB]: 1151
% 3.52/0.91 % (29923)Time elapsed: 0.020 s
% 3.52/0.91 % (29923)Instructions burned: 44 (million)
% 3.52/0.91 % (29923)------------------------------
% 3.52/0.91 % (29923)------------------------------
% 3.52/0.92 % (29924)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2994ds/432Mi)
% 3.52/0.92 % (29925)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2994ds/62Mi)
% 3.52/0.92 % (29922)Instruction limit reached!
% 3.52/0.92 % (29922)------------------------------
% 3.52/0.92 % (29922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.92 % (29922)Termination reason: Unknown
% 3.52/0.92 % (29922)Termination phase: Saturation
% 3.52/0.92
% 3.52/0.92 % (29922)Memory used [KB]: 5884
% 3.52/0.92 % (29922)Time elapsed: 0.049 s
% 3.52/0.92 % (29922)Instructions burned: 49 (million)
% 3.52/0.92 % (29922)------------------------------
% 3.52/0.92 % (29922)------------------------------
% 3.52/0.93 % (29926)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 4.17/0.94 % (29926)Instruction limit reached!
% 4.17/0.94 % (29926)------------------------------
% 4.17/0.94 % (29926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.94 % (29926)Termination reason: Unknown
% 4.17/0.94 % (29926)Termination phase: Saturation
% 4.17/0.94
% 4.17/0.94 % (29926)Memory used [KB]: 5756
% 4.17/0.94 % (29926)Time elapsed: 0.019 s
% 4.17/0.94 % (29926)Instructions burned: 31 (million)
% 4.17/0.94 % (29926)------------------------------
% 4.17/0.94 % (29926)------------------------------
% 4.17/0.94 % (29927)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi)
% 4.17/0.95 % (29925)Instruction limit reached!
% 4.17/0.95 % (29925)------------------------------
% 4.17/0.95 % (29925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.95 % (29925)Termination reason: Unknown
% 4.17/0.95 % (29925)Termination phase: Saturation
% 4.17/0.95
% 4.17/0.95 % (29925)Memory used [KB]: 5756
% 4.17/0.95 % (29925)Time elapsed: 0.029 s
% 4.17/0.95 % (29925)Instructions burned: 63 (million)
% 4.17/0.95 % (29925)------------------------------
% 4.17/0.95 % (29925)------------------------------
% 4.17/0.96 % (29928)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2994ds/453Mi)
% 4.17/0.97 % (29903)Instruction limit reached!
% 4.17/0.97 % (29903)------------------------------
% 4.17/0.97 % (29903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.97 % (29903)Termination reason: Unknown
% 4.17/0.97 % (29903)Termination phase: Saturation
% 4.17/0.97
% 4.17/0.97 % (29903)Memory used [KB]: 7164
% 4.17/0.97 % (29903)Time elapsed: 0.465 s
% 4.17/0.97 % (29903)Instructions burned: 880 (million)
% 4.17/0.97 % (29903)------------------------------
% 4.17/0.97 % (29903)------------------------------
% 4.17/0.97 % (29929)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2994ds/71Mi)
% 4.17/0.97 % (29885)Instruction limit reached!
% 4.17/0.97 % (29885)------------------------------
% 4.17/0.97 % (29885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.97 % (29885)Termination reason: Unknown
% 4.17/0.97 % (29885)Termination phase: Saturation
% 4.17/0.97
% 4.17/0.97 % (29885)Memory used [KB]: 8315
% 4.17/0.97 % (29885)Time elapsed: 0.555 s
% 4.17/0.97 % (29885)Instructions burned: 1041 (million)
% 4.17/0.97 % (29885)------------------------------
% 4.17/0.97 % (29885)------------------------------
% 4.17/0.98 % (29930)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2993ds/83Mi)
% 4.17/0.98 % (29931)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2993ds/11Mi)
% 4.17/0.99 % (29917)Instruction limit reached!
% 4.17/0.99 % (29917)------------------------------
% 4.17/0.99 % (29917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.99 % (29917)Termination reason: Unknown
% 4.17/0.99 % (29917)Termination phase: Saturation
% 4.17/0.99
% 4.17/0.99 % (29917)Memory used [KB]: 5884
% 4.17/0.99 % (29917)Time elapsed: 0.250 s
% 4.17/0.99 % (29917)Instructions burned: 508 (million)
% 4.17/0.99 % (29917)------------------------------
% 4.17/0.99 % (29917)------------------------------
% 4.17/0.99 % (29927)Instruction limit reached!
% 4.17/0.99 % (29927)------------------------------
% 4.17/0.99 % (29927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.99 % (29927)Termination reason: Unknown
% 4.17/0.99 % (29927)Termination phase: Saturation
% 4.17/0.99
% 4.17/0.99 % (29927)Memory used [KB]: 5884
% 4.17/0.99 % (29927)Time elapsed: 0.056 s
% 4.17/0.99 % (29927)Instructions burned: 96 (million)
% 4.17/0.99 % (29927)------------------------------
% 4.17/0.99 % (29927)------------------------------
% 4.17/0.99 % (29931)Instruction limit reached!
% 4.17/0.99 % (29931)------------------------------
% 4.17/0.99 % (29931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.99 % (29931)Termination reason: Unknown
% 4.17/0.99 % (29931)Termination phase: Saturation
% 4.17/0.99
% 4.17/0.99 % (29931)Memory used [KB]: 5500
% 4.17/0.99 % (29931)Time elapsed: 0.007 s
% 4.17/0.99 % (29931)Instructions burned: 12 (million)
% 4.17/0.99 % (29931)------------------------------
% 4.17/0.99 % (29931)------------------------------
% 4.57/1.00 % (29932)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2993ds/41Mi)
% 4.57/1.00 % (29934)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2993ds/150Mi)
% 4.57/1.01 % (29933)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2993ds/6Mi)
% 4.57/1.01 % (29933)Instruction limit reached!
% 4.57/1.01 % (29933)------------------------------
% 4.57/1.01 % (29933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.01 % (29933)Termination reason: Unknown
% 4.57/1.01 % (29933)Termination phase: Property scanning
% 4.57/1.01
% 4.57/1.01 % (29933)Memory used [KB]: 1023
% 4.57/1.01 % (29933)Time elapsed: 0.003 s
% 4.57/1.01 % (29933)Instructions burned: 6 (million)
% 4.57/1.01 % (29933)------------------------------
% 4.57/1.01 % (29933)------------------------------
% 4.57/1.01 % (29934)Refutation not found, incomplete strategy
% 4.57/1.01 % (29934)------------------------------
% 4.57/1.01 % (29934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.01 % (29934)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.01
% 4.57/1.01
% 4.57/1.01 % (29934)Memory used [KB]: 5628
% 4.57/1.01 % (29934)Time elapsed: 0.009 s
% 4.57/1.01 % (29934)Instructions burned: 15 (million)
% 4.57/1.01 % (29934)------------------------------
% 4.57/1.01 % (29934)------------------------------
% 4.57/1.02 % (29929)Instruction limit reached!
% 4.57/1.02 % (29929)------------------------------
% 4.57/1.02 % (29929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.02 % (29929)Termination reason: Unknown
% 4.57/1.02 % (29929)Termination phase: Saturation
% 4.57/1.02
% 4.57/1.02 % (29929)Memory used [KB]: 5884
% 4.57/1.02 % (29929)Time elapsed: 0.052 s
% 4.57/1.02 % (29929)Instructions burned: 72 (million)
% 4.57/1.02 % (29929)------------------------------
% 4.57/1.02 % (29929)------------------------------
% 4.57/1.02 % (29932)Instruction limit reached!
% 4.57/1.02 % (29932)------------------------------
% 4.57/1.02 % (29932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.02 % (29932)Termination reason: Unknown
% 4.57/1.02 % (29932)Termination phase: Saturation
% 4.57/1.02
% 4.57/1.02 % (29932)Memory used [KB]: 5628
% 4.57/1.02 % (29932)Time elapsed: 0.019 s
% 4.57/1.02 % (29932)Instructions burned: 41 (million)
% 4.57/1.02 % (29932)------------------------------
% 4.57/1.02 % (29932)------------------------------
% 4.57/1.02 % (29930)Instruction limit reached!
% 4.57/1.02 % (29930)------------------------------
% 4.57/1.02 % (29930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.02 % (29930)Termination reason: Unknown
% 4.57/1.02 % (29930)Termination phase: Saturation
% 4.57/1.02
% 4.57/1.02 % (29930)Memory used [KB]: 5756
% 4.57/1.02 % (29930)Time elapsed: 0.042 s
% 4.57/1.02 % (29930)Instructions burned: 85 (million)
% 4.57/1.02 % (29930)------------------------------
% 4.57/1.02 % (29930)------------------------------
% 4.57/1.02 % (29935)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2993ds/343Mi)
% 4.57/1.02 % (29936)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2993ds/109Mi)
% 4.57/1.03 % (29938)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2993ds/140Mi)
% 4.57/1.03 % (29939)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2993ds/614Mi)
% 4.57/1.04 % (29937)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2993ds/253Mi)
% 4.57/1.04 % (29938)Refutation not found, incomplete strategy
% 4.57/1.04 % (29938)------------------------------
% 4.57/1.04 % (29938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.04 % (29938)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.04
% 4.57/1.04
% 4.57/1.04 % (29938)Memory used [KB]: 5756
% 4.57/1.04 % (29938)Time elapsed: 0.009 s
% 4.57/1.04 % (29938)Instructions burned: 15 (million)
% 4.57/1.04 % (29938)------------------------------
% 4.57/1.04 % (29938)------------------------------
% 4.57/1.05 % (29940)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2993ds/202Mi)
% 4.74/1.07 % (29936)Instruction limit reached!
% 4.74/1.07 % (29936)------------------------------
% 4.74/1.07 % (29936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.74/1.07 % (29936)Termination reason: Unknown
% 4.74/1.07 % (29936)Termination phase: Saturation
% 4.74/1.07
% 4.74/1.07 % (29936)Memory used [KB]: 6012
% 4.74/1.07 % (29936)Time elapsed: 0.048 s
% 4.74/1.07 % (29936)Instructions burned: 110 (million)
% 4.74/1.07 % (29936)------------------------------
% 4.74/1.07 % (29936)------------------------------
% 5.45/1.08 % (29941)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2993ds/339Mi)
% 5.45/1.11 % (29924)Instruction limit reached!
% 5.45/1.11 % (29924)------------------------------
% 5.45/1.11 % (29924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.45/1.11 % (29924)Termination reason: Unknown
% 5.45/1.11 % (29924)Termination phase: Saturation
% 5.45/1.11
% 5.45/1.11 % (29924)Memory used [KB]: 2046
% 5.45/1.11 % (29924)Time elapsed: 0.196 s
% 5.45/1.11 % (29924)Instructions burned: 432 (million)
% 5.45/1.11 % (29924)------------------------------
% 5.45/1.11 % (29924)------------------------------
% 5.73/1.13 % (29942)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2992ds/283Mi)
% 5.73/1.14 % (29937)Instruction limit reached!
% 5.73/1.14 % (29937)------------------------------
% 5.73/1.14 % (29937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.14 % (29937)Termination reason: Unknown
% 5.73/1.14 % (29937)Termination phase: Saturation
% 5.73/1.14
% 5.73/1.14 % (29937)Memory used [KB]: 6268
% 5.73/1.14 % (29937)Time elapsed: 0.118 s
% 5.73/1.14 % (29937)Instructions burned: 253 (million)
% 5.73/1.14 % (29937)------------------------------
% 5.73/1.14 % (29937)------------------------------
% 5.73/1.14 % (29940)Instruction limit reached!
% 5.73/1.14 % (29940)------------------------------
% 5.73/1.14 % (29940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.14 % (29940)Termination reason: Unknown
% 5.73/1.14 % (29940)Termination phase: Saturation
% 5.73/1.14
% 5.73/1.14 % (29940)Memory used [KB]: 6140
% 5.73/1.14 % (29940)Time elapsed: 0.093 s
% 5.73/1.14 % (29940)Instructions burned: 203 (million)
% 5.73/1.14 % (29940)------------------------------
% 5.73/1.14 % (29940)------------------------------
% 5.73/1.15 % (29928)Instruction limit reached!
% 5.73/1.15 % (29928)------------------------------
% 5.73/1.15 % (29928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.15 % (29928)Termination reason: Unknown
% 5.73/1.15 % (29928)Termination phase: Saturation
% 5.73/1.15
% 5.73/1.15 % (29928)Memory used [KB]: 5884
% 5.73/1.15 % (29928)Time elapsed: 0.191 s
% 5.73/1.15 % (29928)Instructions burned: 453 (million)
% 5.73/1.15 % (29928)------------------------------
% 5.73/1.15 % (29928)------------------------------
% 5.73/1.15 % (29943)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2992ds/134Mi)
% 5.93/1.16 % (29945)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2992ds/192Mi)
% 5.93/1.16 % (29944)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2992ds/298Mi)
% 5.93/1.19 % (29943)Instruction limit reached!
% 5.93/1.19 % (29943)------------------------------
% 5.93/1.19 % (29943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.19 % (29943)Termination reason: Unknown
% 5.93/1.19 % (29943)Termination phase: Saturation
% 5.93/1.19
% 5.93/1.19 % (29943)Memory used [KB]: 6268
% 5.93/1.19 % (29943)Time elapsed: 0.043 s
% 5.93/1.19 % (29943)Instructions burned: 137 (million)
% 5.93/1.19 % (29943)------------------------------
% 5.93/1.19 % (29943)------------------------------
% 5.93/1.20 % (29946)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2991ds/258Mi)
% 5.93/1.21 % (29935)Instruction limit reached!
% 5.93/1.21 % (29935)------------------------------
% 5.93/1.21 % (29935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.93/1.21 % (29935)Termination reason: Unknown
% 5.93/1.21 % (29935)Termination phase: Saturation
% 5.93/1.21
% 5.93/1.21 % (29935)Memory used [KB]: 6652
% 5.93/1.21 % (29935)Time elapsed: 0.194 s
% 5.93/1.21 % (29935)Instructions burned: 343 (million)
% 5.93/1.21 % (29935)------------------------------
% 5.93/1.21 % (29935)------------------------------
% 5.93/1.23 % (29947)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 6.21/1.24 % (29945)Instruction limit reached!
% 6.21/1.24 % (29945)------------------------------
% 6.21/1.24 % (29945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.21/1.24 % (29945)Termination reason: Unknown
% 6.21/1.24 % (29945)Termination phase: Saturation
% 6.21/1.24
% 6.21/1.24 % (29945)Memory used [KB]: 6396
% 6.21/1.24 % (29945)Time elapsed: 0.083 s
% 6.21/1.24 % (29945)Instructions burned: 192 (million)
% 6.21/1.24 % (29945)------------------------------
% 6.21/1.24 % (29945)------------------------------
% 6.21/1.24 % (29941)Instruction limit reached!
% 6.21/1.24 % (29941)------------------------------
% 6.21/1.24 % (29941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.21/1.24 % (29941)Termination reason: Unknown
% 6.21/1.24 % (29941)Termination phase: Saturation
% 6.21/1.24
% 6.21/1.24 % (29941)Memory used [KB]: 6140
% 6.21/1.24 % (29941)Time elapsed: 0.159 s
% 6.21/1.24 % (29941)Instructions burned: 341 (million)
% 6.21/1.24 % (29941)------------------------------
% 6.21/1.24 % (29941)------------------------------
% 6.21/1.25 % (29949)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2991ds/458Mi)
% 6.21/1.26 % (29942)Instruction limit reached!
% 6.21/1.26 % (29942)------------------------------
% 6.21/1.26 % (29942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.21/1.26 % (29942)Termination reason: Unknown
% 6.21/1.26 % (29942)Termination phase: Saturation
% 6.21/1.26
% 6.21/1.26 % (29942)Memory used [KB]: 6524
% 6.21/1.26 % (29942)Time elapsed: 0.135 s
% 6.21/1.26 % (29942)Instructions burned: 283 (million)
% 6.21/1.26 % (29942)------------------------------
% 6.21/1.26 % (29942)------------------------------
% 6.21/1.27 % (29948)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2991ds/231Mi)
% 6.21/1.27 % (29950)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2991ds/31Mi)
% 6.21/1.28 % (29947)Instruction limit reached!
% 6.21/1.28 % (29947)------------------------------
% 6.21/1.28 % (29947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.21/1.28 % (29947)Termination reason: Unknown
% 6.21/1.28 % (29947)Termination phase: Saturation
% 6.21/1.28
% 6.21/1.28 % (29947)Memory used [KB]: 5884
% 6.21/1.28 % (29947)Time elapsed: 0.049 s
% 6.21/1.28 % (29947)Instructions burned: 90 (million)
% 6.21/1.28 % (29947)------------------------------
% 6.21/1.28 % (29947)------------------------------
% 6.77/1.29 % (29950)Instruction limit reached!
% 6.77/1.29 % (29950)------------------------------
% 6.77/1.29 % (29950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.29 % (29950)Termination reason: Unknown
% 6.77/1.29 % (29950)Termination phase: Saturation
% 6.77/1.29
% 6.77/1.29 % (29950)Memory used [KB]: 5756
% 6.77/1.29 % (29950)Time elapsed: 0.017 s
% 6.77/1.29 % (29950)Instructions burned: 32 (million)
% 6.77/1.29 % (29950)------------------------------
% 6.77/1.29 % (29950)------------------------------
% 6.77/1.29 % (29951)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2991ds/297Mi)
% 6.77/1.29 % (29944)Instruction limit reached!
% 6.77/1.29 % (29944)------------------------------
% 6.77/1.29 % (29944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.29 % (29944)Termination reason: Unknown
% 6.77/1.29 % (29944)Termination phase: Saturation
% 6.77/1.29
% 6.77/1.29 % (29944)Memory used [KB]: 5884
% 6.77/1.29 % (29944)Time elapsed: 0.134 s
% 6.77/1.29 % (29944)Instructions burned: 298 (million)
% 6.77/1.29 % (29944)------------------------------
% 6.77/1.29 % (29944)------------------------------
% 6.77/1.30 % (29946)Instruction limit reached!
% 6.77/1.30 % (29946)------------------------------
% 6.77/1.30 % (29946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.30 % (29946)Termination reason: Unknown
% 6.77/1.30 % (29946)Termination phase: Saturation
% 6.77/1.30
% 6.77/1.30 % (29946)Memory used [KB]: 6268
% 6.77/1.30 % (29946)Time elapsed: 0.111 s
% 6.77/1.30 % (29946)Instructions burned: 258 (million)
% 6.77/1.30 % (29946)------------------------------
% 6.77/1.30 % (29946)------------------------------
% 6.77/1.30 % (29952)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2990ds/987Mi)
% 6.77/1.30 % (29939)Instruction limit reached!
% 6.77/1.30 % (29939)------------------------------
% 6.77/1.30 % (29939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.77/1.30 % (29939)Termination reason: Unknown
% 6.77/1.30 % (29939)Termination phase: Saturation
% 6.77/1.30
% 6.77/1.30 % (29939)Memory used [KB]: 7675
% 6.77/1.30 % (29939)Time elapsed: 0.271 s
% 6.77/1.30 % (29939)Instructions burned: 614 (million)
% 6.77/1.30 % (29939)------------------------------
% 6.77/1.30 % (29939)------------------------------
% 6.77/1.31 % (29953)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2990ds/182Mi)
% 6.77/1.31 % (29954)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2990ds/182Mi)
% 6.77/1.32 % (29955)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2990ds/154Mi)
% 7.14/1.35 % (29921)Instruction limit reached!
% 7.14/1.35 % (29921)------------------------------
% 7.14/1.35 % (29921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.35 % (29921)Termination reason: Unknown
% 7.14/1.35 % (29921)Termination phase: Saturation
% 7.14/1.35
% 7.14/1.35 % (29921)Memory used [KB]: 7419
% 7.14/1.35 % (29921)Time elapsed: 0.515 s
% 7.14/1.35 % (29921)Instructions burned: 1089 (million)
% 7.14/1.35 % (29921)------------------------------
% 7.14/1.35 % (29921)------------------------------
% 7.14/1.36 % (29948)Instruction limit reached!
% 7.14/1.36 % (29948)------------------------------
% 7.14/1.36 % (29948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.36 % (29948)Termination reason: Unknown
% 7.14/1.36 % (29948)Termination phase: Saturation
% 7.14/1.36
% 7.14/1.36 % (29948)Memory used [KB]: 6268
% 7.14/1.36 % (29948)Time elapsed: 0.114 s
% 7.14/1.36 % (29948)Instructions burned: 231 (million)
% 7.14/1.36 % (29948)------------------------------
% 7.14/1.36 % (29948)------------------------------
% 7.25/1.37 % (29957)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2990ds/216Mi)
% 7.25/1.37 % (29956)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2990ds/79Mi)
% 7.25/1.37 % (29951)Instruction limit reached!
% 7.25/1.37 % (29951)------------------------------
% 7.25/1.37 % (29951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.25/1.37 % (29951)Termination reason: Unknown
% 7.25/1.37 % (29951)Termination phase: Saturation
% 7.25/1.37
% 7.25/1.37 % (29951)Memory used [KB]: 6140
% 7.25/1.37 % (29951)Time elapsed: 0.087 s
% 7.25/1.37 % (29951)Instructions burned: 298 (million)
% 7.25/1.37 % (29951)------------------------------
% 7.25/1.37 % (29951)------------------------------
% 7.25/1.38 % (29958)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2990ds/114Mi)
% 7.25/1.39 % (29955)Instruction limit reached!
% 7.25/1.39 % (29955)------------------------------
% 7.25/1.39 % (29955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.25/1.39 % (29955)Termination reason: Unknown
% 7.25/1.39 % (29955)Termination phase: Saturation
% 7.25/1.39
% 7.25/1.39 % (29955)Memory used [KB]: 6268
% 7.25/1.39 % (29955)Time elapsed: 0.072 s
% 7.25/1.39 % (29955)Instructions burned: 155 (million)
% 7.25/1.39 % (29955)------------------------------
% 7.25/1.39 % (29955)------------------------------
% 7.25/1.40 % (29954)Instruction limit reached!
% 7.25/1.40 % (29954)------------------------------
% 7.25/1.40 % (29954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.25/1.40 % (29954)Termination reason: Unknown
% 7.25/1.40 % (29954)Termination phase: Saturation
% 7.25/1.40
% 7.25/1.40 % (29954)Memory used [KB]: 5884
% 7.25/1.40 % (29954)Time elapsed: 0.090 s
% 7.25/1.40 % (29954)Instructions burned: 183 (million)
% 7.25/1.40 % (29954)------------------------------
% 7.25/1.40 % (29954)------------------------------
% 7.25/1.40 % (29953)Instruction limit reached!
% 7.25/1.40 % (29953)------------------------------
% 7.25/1.40 % (29953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.25/1.40 % (29953)Termination reason: Unknown
% 7.25/1.40 % (29953)Termination phase: Saturation
% 7.25/1.40
% 7.25/1.40 % (29953)Memory used [KB]: 6140
% 7.25/1.40 % (29953)Time elapsed: 0.117 s
% 7.25/1.40 % (29953)Instructions burned: 183 (million)
% 7.25/1.40 % (29953)------------------------------
% 7.25/1.40 % (29953)------------------------------
% 7.25/1.41 % (29959)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2989ds/922Mi)
% 7.64/1.41 % (29960)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2989ds/182Mi)
% 7.64/1.42 % (29956)Instruction limit reached!
% 7.64/1.42 % (29956)------------------------------
% 7.64/1.42 % (29956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.64/1.42 % (29956)Termination reason: Unknown
% 7.64/1.42 % (29956)Termination phase: Saturation
% 7.64/1.42
% 7.64/1.42 % (29956)Memory used [KB]: 6012
% 7.64/1.42 % (29956)Time elapsed: 0.068 s
% 7.64/1.42 % (29956)Instructions burned: 80 (million)
% 7.64/1.42 % (29956)------------------------------
% 7.64/1.42 % (29956)------------------------------
% 7.64/1.42 % (29961)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2989ds/164Mi)
% 7.64/1.43 % (29962)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2989ds/50Mi)
% 7.64/1.43 % (29958)Instruction limit reached!
% 7.64/1.43 % (29958)------------------------------
% 7.64/1.43 % (29958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.64/1.43 % (29958)Termination reason: Unknown
% 7.64/1.43 % (29958)Termination phase: Saturation
% 7.64/1.43
% 7.64/1.43 % (29958)Memory used [KB]: 6012
% 7.64/1.43 % (29958)Time elapsed: 0.064 s
% 7.64/1.43 % (29958)Instructions burned: 114 (million)
% 7.64/1.43 % (29958)------------------------------
% 7.64/1.43 % (29958)------------------------------
% 7.64/1.44 % (29949)Instruction limit reached!
% 7.64/1.44 % (29949)------------------------------
% 7.64/1.44 % (29949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.64/1.44 % (29949)Termination reason: Unknown
% 7.64/1.44 % (29949)Termination phase: Saturation
% 7.64/1.44
% 7.64/1.44 % (29949)Memory used [KB]: 6524
% 7.64/1.44 % (29949)Time elapsed: 0.189 s
% 7.64/1.44 % (29949)Instructions burned: 460 (million)
% 7.64/1.44 % (29949)------------------------------
% 7.64/1.44 % (29949)------------------------------
% 7.64/1.45 % (29963)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2989ds/368Mi)
% 7.64/1.45 % (29964)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2989ds/1021Mi)
% 7.95/1.45 % (29962)Instruction limit reached!
% 7.95/1.45 % (29962)------------------------------
% 7.95/1.45 % (29962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.95/1.45 % (29962)Termination reason: Unknown
% 7.95/1.45 % (29962)Termination phase: Saturation
% 7.95/1.45
% 7.95/1.45 % (29962)Memory used [KB]: 10234
% 7.95/1.45 % (29962)Time elapsed: 0.047 s
% 7.95/1.45 % (29962)Instructions burned: 50 (million)
% 7.95/1.45 % (29962)------------------------------
% 7.95/1.45 % (29962)------------------------------
% 7.95/1.47 % (29957)Instruction limit reached!
% 7.95/1.47 % (29957)------------------------------
% 7.95/1.47 % (29957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.95/1.47 % (29957)Termination reason: Unknown
% 7.95/1.47 % (29965)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2989ds/267Mi)
% 7.95/1.47 % (29957)Termination phase: Saturation
% 7.95/1.47
% 7.95/1.47 % (29957)Memory used [KB]: 5884
% 7.95/1.47 % (29957)Time elapsed: 0.099 s
% 7.95/1.47 % (29957)Instructions burned: 217 (million)
% 7.95/1.47 % (29957)------------------------------
% 7.95/1.47 % (29957)------------------------------
% 7.95/1.49 % (29966)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2989ds/204Mi)
% 7.95/1.49 % (29961)Instruction limit reached!
% 7.95/1.49 % (29961)------------------------------
% 7.95/1.49 % (29961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.95/1.49 % (29961)Termination reason: Unknown
% 7.95/1.49 % (29961)Termination phase: Saturation
% 7.95/1.49
% 7.95/1.49 % (29961)Memory used [KB]: 1279
% 7.95/1.49 % (29961)Time elapsed: 0.096 s
% 7.95/1.49 % (29961)Instructions burned: 165 (million)
% 7.95/1.49 % (29961)------------------------------
% 7.95/1.49 % (29961)------------------------------
% 7.95/1.50 % (29960)Instruction limit reached!
% 7.95/1.50 % (29960)------------------------------
% 7.95/1.50 % (29960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.95/1.50 % (29960)Termination reason: Unknown
% 7.95/1.50 % (29960)Termination phase: Saturation
% 7.95/1.50
% 7.95/1.50 % (29960)Memory used [KB]: 5756
% 7.95/1.50 % (29960)Time elapsed: 0.083 s
% 7.95/1.50 % (29960)Instructions burned: 182 (million)
% 7.95/1.50 % (29960)------------------------------
% 7.95/1.50 % (29960)------------------------------
% 7.95/1.50 % (29967)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2988ds/26Mi)
% 7.95/1.52 % (29967)Instruction limit reached!
% 7.95/1.52 % (29967)------------------------------
% 7.95/1.52 % (29967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.95/1.52 % (29967)Termination reason: Unknown
% 7.95/1.52 % (29967)Termination phase: Saturation
% 7.95/1.52
% 7.95/1.52 % (29967)Memory used [KB]: 5628
% 7.95/1.52 % (29967)Time elapsed: 0.034 s
% 7.95/1.52 % (29967)Instructions burned: 28 (million)
% 7.95/1.52 % (29967)------------------------------
% 7.95/1.52 % (29967)------------------------------
% 7.95/1.52 % (29968)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2988ds/53Mi)
% 7.95/1.53 % (29969)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2988ds/4436Mi)
% 8.30/1.54 % (29968)Instruction limit reached!
% 8.30/1.54 % (29968)------------------------------
% 8.30/1.54 % (29968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.30/1.54 % (29968)Termination reason: Unknown
% 8.30/1.54 % (29968)Termination phase: Saturation
% 8.30/1.54
% 8.30/1.54 % (29968)Memory used [KB]: 5756
% 8.30/1.54 % (29968)Time elapsed: 0.017 s
% 8.30/1.54 % (29968)Instructions burned: 55 (million)
% 8.30/1.54 % (29968)------------------------------
% 8.30/1.54 % (29968)------------------------------
% 8.30/1.56 % (29970)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2988ds/1539Mi)
% 8.32/1.59 % (29965)Instruction limit reached!
% 8.32/1.59 % (29965)------------------------------
% 8.32/1.59 % (29965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.32/1.59 % (29965)Termination reason: Unknown
% 8.32/1.59 % (29965)Termination phase: Saturation
% 8.32/1.59
% 8.32/1.59 % (29965)Memory used [KB]: 6524
% 8.32/1.59 % (29965)Time elapsed: 0.154 s
% 8.32/1.59 % (29965)Instructions burned: 268 (million)
% 8.32/1.59 % (29965)------------------------------
% 8.32/1.59 % (29965)------------------------------
% 8.32/1.60 % (29963)Instruction limit reached!
% 8.32/1.60 % (29963)------------------------------
% 8.32/1.60 % (29963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.32/1.60 % (29963)Termination reason: Unknown
% 8.32/1.60 % (29963)Termination phase: Saturation
% 8.32/1.60
% 8.32/1.60 % (29963)Memory used [KB]: 6780
% 8.32/1.60 % (29963)Time elapsed: 0.178 s
% 8.32/1.60 % (29963)Instructions burned: 368 (million)
% 8.32/1.60 % (29963)------------------------------
% 8.32/1.60 % (29963)------------------------------
% 8.32/1.60 % (29966)Instruction limit reached!
% 8.32/1.60 % (29966)------------------------------
% 8.32/1.60 % (29966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.32/1.60 % (29966)Termination reason: Unknown
% 8.32/1.60 % (29966)Termination phase: Saturation
% 8.32/1.60
% 8.32/1.60 % (29966)Memory used [KB]: 6268
% 8.32/1.60 % (29966)Time elapsed: 0.148 s
% 8.32/1.60 % (29966)Instructions burned: 204 (million)
% 8.32/1.60 % (29966)------------------------------
% 8.32/1.60 % (29966)------------------------------
% 8.32/1.61 % (29972)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2987ds/5205Mi)
% 8.32/1.62 % (29971)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2987ds/408Mi)
% 8.32/1.63 % (29973)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2987ds/1913Mi)
% 10.57/1.76 % (29952)Instruction limit reached!
% 10.57/1.76 % (29952)------------------------------
% 10.57/1.76 % (29952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.57/1.76 % (29952)Termination reason: Unknown
% 10.57/1.76 % (29952)Termination phase: Saturation
% 10.57/1.76
% 10.57/1.76 % (29952)Memory used [KB]: 7675
% 10.57/1.76 % (29952)Time elapsed: 0.465 s
% 10.57/1.76 % (29952)Instructions burned: 988 (million)
% 10.57/1.76 % (29952)------------------------------
% 10.57/1.76 % (29952)------------------------------
% 10.57/1.78 % (29971)Instruction limit reached!
% 10.57/1.78 % (29971)------------------------------
% 10.57/1.78 % (29971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.57/1.78 % (29971)Termination reason: Unknown
% 10.57/1.78 % (29971)Termination phase: Saturation
% 10.57/1.78
% 10.57/1.78 % (29971)Memory used [KB]: 6780
% 10.57/1.78 % (29971)Time elapsed: 0.170 s
% 10.57/1.78 % (29971)Instructions burned: 408 (million)
% 10.57/1.78 % (29971)------------------------------
% 10.57/1.78 % (29971)------------------------------
% 10.57/1.78 % (29974)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2986ds/4350Mi)
% 10.57/1.79 % (29975)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2985ds/68Mi)
% 10.97/1.82 % (29959)Instruction limit reached!
% 10.97/1.82 % (29959)------------------------------
% 10.97/1.82 % (29959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.97/1.82 % (29959)Termination reason: Unknown
% 10.97/1.82 % (29959)Termination phase: Saturation
% 10.97/1.82
% 10.97/1.82 % (29959)Memory used [KB]: 6780
% 10.97/1.82 % (29959)Time elapsed: 0.433 s
% 10.97/1.82 % (29959)Instructions burned: 922 (million)
% 10.97/1.82 % (29959)------------------------------
% 10.97/1.82 % (29959)------------------------------
% 10.97/1.82 % (29975)Instruction limit reached!
% 10.97/1.82 % (29975)------------------------------
% 10.97/1.82 % (29975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.97/1.82 % (29975)Termination reason: Unknown
% 10.97/1.82 % (29975)Termination phase: Saturation
% 10.97/1.82
% 10.97/1.82 % (29975)Memory used [KB]: 5884
% 10.97/1.82 % (29975)Time elapsed: 0.033 s
% 10.97/1.82 % (29975)Instructions burned: 69 (million)
% 10.97/1.82 % (29975)------------------------------
% 10.97/1.82 % (29975)------------------------------
% 10.97/1.84 % (29977)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2985ds/31Mi)
% 10.97/1.84 % (29976)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2985ds/358Mi)
% 10.97/1.85 % (29977)Instruction limit reached!
% 10.97/1.85 % (29977)------------------------------
% 10.97/1.85 % (29977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.97/1.85 % (29977)Termination reason: Unknown
% 10.97/1.85 % (29977)Termination phase: Saturation
% 10.97/1.85
% 10.97/1.85 % (29977)Memory used [KB]: 5756
% 10.97/1.85 % (29977)Time elapsed: 0.019 s
% 10.97/1.85 % (29977)Instructions burned: 31 (million)
% 10.97/1.85 % (29977)------------------------------
% 10.97/1.85 % (29977)------------------------------
% 11.28/1.87 % (29979)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2985ds/279Mi)
% 11.28/1.89 % (29964)Instruction limit reached!
% 11.28/1.89 % (29964)------------------------------
% 11.28/1.89 % (29964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.28/1.89 % (29964)Termination reason: Unknown
% 11.28/1.89 % (29964)Termination phase: Saturation
% 11.28/1.89
% 11.28/1.89 % (29964)Memory used [KB]: 6780
% 11.28/1.89 % (29964)Time elapsed: 0.453 s
% 11.28/1.89 % (29964)Instructions burned: 1022 (million)
% 11.28/1.89 % (29964)------------------------------
% 11.28/1.89 % (29964)------------------------------
% 11.28/1.90 % (29980)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2984ds/258Mi)
% 11.61/1.98 % (29979)Refutation not found, non-redundant clauses discarded% (29979)------------------------------
% 11.61/1.98 % (29979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.61/1.98 % (29979)Termination reason: Refutation not found, non-redundant clauses discarded
% 11.61/1.98
% 11.61/1.98 % (29979)Memory used [KB]: 5884
% 11.61/1.98 % (29979)Time elapsed: 0.111 s
% 11.61/1.98 % (29979)Instructions burned: 247 (million)
% 11.61/1.98 % (29979)------------------------------
% 11.61/1.98 % (29979)------------------------------
% 11.87/1.99 % (29981)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2983ds/26Mi)
% 11.87/2.00 % (29981)Instruction limit reached!
% 11.87/2.00 % (29981)------------------------------
% 11.87/2.00 % (29981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.87/2.00 % (29981)Termination reason: Unknown
% 11.87/2.00 % (29981)Termination phase: Saturation
% 11.87/2.00
% 11.87/2.00 % (29981)Memory used [KB]: 5500
% 11.87/2.00 % (29981)Time elapsed: 0.013 s
% 11.87/2.00 % (29981)Instructions burned: 27 (million)
% 11.87/2.00 % (29981)------------------------------
% 11.87/2.00 % (29981)------------------------------
% 11.87/2.01 % (29982)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2983ds/995Mi)
% 11.87/2.03 % (29980)Instruction limit reached!
% 11.87/2.03 % (29980)------------------------------
% 11.87/2.03 % (29980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.87/2.03 % (29980)Termination reason: Unknown
% 11.87/2.03 % (29980)Termination phase: Saturation
% 11.87/2.03
% 11.87/2.03 % (29980)Memory used [KB]: 6652
% 11.87/2.03 % (29980)Time elapsed: 0.135 s
% 11.87/2.03 % (29980)Instructions burned: 259 (million)
% 11.87/2.03 % (29980)------------------------------
% 11.87/2.03 % (29980)------------------------------
% 12.25/2.05 % (29983)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2983ds/373Mi)
% 12.30/2.06 % (29976)Instruction limit reached!
% 12.30/2.06 % (29976)------------------------------
% 12.30/2.06 % (29976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.30/2.06 % (29976)Termination reason: Unknown
% 12.30/2.06 % (29976)Termination phase: Saturation
% 12.30/2.06
% 12.30/2.06 % (29976)Memory used [KB]: 6140
% 12.30/2.06 % (29976)Time elapsed: 0.237 s
% 12.30/2.06 % (29976)Instructions burned: 358 (million)
% 12.30/2.06 % (29976)------------------------------
% 12.30/2.06 % (29976)------------------------------
% 12.30/2.07 % (29984)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2983ds/253Mi)
% 13.73/2.18 % (29984)Instruction limit reached!
% 13.73/2.18 % (29984)------------------------------
% 13.73/2.18 % (29984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.73/2.18 % (29984)Termination reason: Unknown
% 13.73/2.18 % (29984)Termination phase: Saturation
% 13.73/2.18
% 13.73/2.18 % (29984)Memory used [KB]: 6140
% 13.73/2.18 % (29984)Time elapsed: 0.096 s
% 13.73/2.18 % (29984)Instructions burned: 253 (million)
% 13.73/2.18 % (29984)------------------------------
% 13.73/2.18 % (29984)------------------------------
% 13.73/2.18 % (29983)Instruction limit reached!
% 13.73/2.18 % (29983)------------------------------
% 13.73/2.18 % (29983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.73/2.18 % (29983)Termination reason: Unknown
% 13.73/2.18 % (29983)Termination phase: Saturation
% 13.73/2.18
% 13.73/2.18 % (29983)Memory used [KB]: 6652
% 13.73/2.18 % (29983)Time elapsed: 0.134 s
% 13.73/2.18 % (29983)Instructions burned: 373 (million)
% 13.73/2.18 % (29983)------------------------------
% 13.73/2.18 % (29983)------------------------------
% 13.73/2.19 % (29985)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2982ds/832Mi)
% 13.73/2.19 % (29986)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2982ds/668Mi)
% 13.73/2.21 % (29970)Instruction limit reached!
% 13.73/2.21 % (29970)------------------------------
% 13.73/2.21 % (29970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.73/2.21 % (29970)Termination reason: Unknown
% 13.73/2.21 % (29970)Termination phase: Saturation
% 13.73/2.21
% 13.73/2.21 % (29970)Memory used [KB]: 8187
% 13.73/2.21 % (29970)Time elapsed: 0.654 s
% 13.73/2.21 % (29970)Instructions burned: 1540 (million)
% 13.73/2.21 % (29970)------------------------------
% 13.73/2.21 % (29970)------------------------------
% 13.73/2.22 % (29987)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2981ds/40Mi)
% 13.73/2.24 % (29987)Instruction limit reached!
% 13.73/2.24 % (29987)------------------------------
% 13.73/2.24 % (29987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.73/2.24 % (29987)Termination reason: Unknown
% 13.73/2.24 % (29987)Termination phase: Saturation
% 13.73/2.24
% 13.73/2.24 % (29987)Memory used [KB]: 5628
% 13.73/2.24 % (29987)Time elapsed: 0.040 s
% 13.73/2.24 % (29987)Instructions burned: 40 (million)
% 13.73/2.24 % (29987)------------------------------
% 13.73/2.24 % (29987)------------------------------
% 13.73/2.26 % (29988)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2981ds/294Mi)
% 14.24/2.30 % (29982)Refutation not found, non-redundant clauses discarded% (29982)------------------------------
% 14.24/2.30 % (29982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.24/2.30 % (29982)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.24/2.30
% 14.24/2.30 % (29982)Memory used [KB]: 6012
% 14.24/2.30 % (29982)Time elapsed: 0.283 s
% 14.24/2.30 % (29982)Instructions burned: 659 (million)
% 14.24/2.30 % (29982)------------------------------
% 14.24/2.30 % (29982)------------------------------
% 14.45/2.33 % (29989)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2980ds/187Mi)
% 14.58/2.39 % (29988)Instruction limit reached!
% 14.58/2.39 % (29988)------------------------------
% 14.58/2.39 % (29988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.58/2.39 % (29988)Termination reason: Unknown
% 14.58/2.39 % (29988)Termination phase: Saturation
% 14.58/2.39
% 14.58/2.39 % (29988)Memory used [KB]: 6012
% 14.58/2.39 % (29988)Time elapsed: 0.159 s
% 14.58/2.39 % (29988)Instructions burned: 295 (million)
% 14.58/2.39 % (29988)------------------------------
% 14.58/2.39 % (29988)------------------------------
% 14.58/2.41 % (29990)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2979ds/371Mi)
% 14.58/2.42 % (29989)Instruction limit reached!
% 14.58/2.42 % (29989)------------------------------
% 14.58/2.42 % (29989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.58/2.42 % (29989)Termination reason: Unknown
% 14.58/2.42 % (29989)Termination phase: Saturation
% 14.58/2.42
% 14.58/2.42 % (29989)Memory used [KB]: 6524
% 14.58/2.42 % (29989)Time elapsed: 0.124 s
% 14.58/2.42 % (29989)Instructions burned: 187 (million)
% 14.58/2.42 % (29989)------------------------------
% 14.58/2.42 % (29989)------------------------------
% 15.18/2.43 % (29991)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2979ds/1827Mi)
% 15.18/2.43 % (29986)Instruction limit reached!
% 15.18/2.43 % (29986)------------------------------
% 15.18/2.43 % (29986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.43 % (29986)Termination reason: Unknown
% 15.18/2.43 % (29973)Instruction limit reached!
% 15.18/2.43 % (29973)------------------------------
% 15.18/2.43 % (29973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.43 % (29973)Termination reason: Unknown
% 15.18/2.43 % (29973)Termination phase: Saturation
% 15.18/2.43
% 15.18/2.43 % (29973)Memory used [KB]: 2558
% 15.18/2.43 % (29973)Time elapsed: 0.831 s
% 15.18/2.43 % (29973)Instructions burned: 1914 (million)
% 15.18/2.43 % (29973)------------------------------
% 15.18/2.43 % (29973)------------------------------
% 15.18/2.43 % (29986)Termination phase: Saturation
% 15.18/2.43
% 15.18/2.43 % (29986)Memory used [KB]: 11129
% 15.18/2.43 % (29986)Time elapsed: 0.266 s
% 15.18/2.43 % (29986)Instructions burned: 668 (million)
% 15.18/2.43 % (29986)------------------------------
% 15.18/2.43 % (29986)------------------------------
% 15.18/2.45 % (29992)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2979ds/70Mi)
% 15.18/2.45 % (29993)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2979ds/316Mi)
% 15.18/2.48 % (29992)Instruction limit reached!
% 15.18/2.48 % (29992)------------------------------
% 15.18/2.48 % (29992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.18/2.48 % (29992)Termination reason: Unknown
% 15.18/2.48 % (29992)Termination phase: Saturation
% 15.18/2.48
% 15.18/2.48 % (29992)Memory used [KB]: 1279
% 15.18/2.48 % (29992)Time elapsed: 0.032 s
% 15.18/2.48 % (29992)Instructions burned: 72 (million)
% 15.18/2.48 % (29992)------------------------------
% 15.18/2.48 % (29992)------------------------------
% 15.63/2.49 % (29994)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2978ds/932Mi)
% 15.63/2.54 % (29985)Instruction limit reached!
% 15.63/2.54 % (29985)------------------------------
% 15.63/2.54 % (29985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.63/2.54 % (29985)Termination reason: Unknown
% 15.63/2.54 % (29985)Termination phase: Saturation
% 15.63/2.54
% 15.63/2.54 % (29985)Memory used [KB]: 5884
% 15.63/2.54 % (29985)Time elapsed: 0.373 s
% 15.63/2.54 % (29985)Instructions burned: 834 (million)
% 15.63/2.54 % (29985)------------------------------
% 15.63/2.54 % (29985)------------------------------
% 15.63/2.55 % (29995)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2978ds/4714Mi)
% 16.21/2.59 % (29993)Instruction limit reached!
% 16.21/2.59 % (29993)------------------------------
% 16.21/2.59 % (29993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.21/2.59 % (29993)Termination reason: Unknown
% 16.21/2.59 % (29993)Termination phase: Saturation
% 16.21/2.59
% 16.21/2.59 % (29993)Memory used [KB]: 5884
% 16.21/2.59 % (29993)Time elapsed: 0.146 s
% 16.21/2.59 % (29993)Instructions burned: 317 (million)
% 16.21/2.59 % (29993)------------------------------
% 16.21/2.59 % (29993)------------------------------
% 16.46/2.61 % (29996)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2977ds/8250Mi)
% 16.46/2.62 % (29990)Instruction limit reached!
% 16.46/2.62 % (29990)------------------------------
% 16.46/2.62 % (29990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.46/2.62 % (29990)Termination reason: Unknown
% 16.46/2.62 % (29990)Termination phase: Saturation
% 16.46/2.62
% 16.46/2.62 % (29990)Memory used [KB]: 6524
% 16.46/2.62 % (29990)Time elapsed: 0.230 s
% 16.46/2.62 % (29990)Instructions burned: 371 (million)
% 16.46/2.62 % (29990)------------------------------
% 16.46/2.62 % (29990)------------------------------
% 16.46/2.63 % (29997)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2977ds/770Mi)
% 19.46/2.94 % (29997)Instruction limit reached!
% 19.46/2.94 % (29997)------------------------------
% 19.46/2.94 % (29997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.46/2.94 % (29997)Termination reason: Unknown
% 19.46/2.94 % (29997)Termination phase: Saturation
% 19.46/2.94
% 19.46/2.94 % (29997)Memory used [KB]: 6268
% 19.46/2.94 % (29997)Time elapsed: 0.316 s
% 19.46/2.94 % (29997)Instructions burned: 771 (million)
% 19.46/2.94 % (29997)------------------------------
% 19.46/2.94 % (29997)------------------------------
% 19.46/2.95 % (29994)Instruction limit reached!
% 19.46/2.95 % (29994)------------------------------
% 19.46/2.95 % (29994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.46/2.95 % (29994)Termination reason: Unknown
% 19.46/2.95 % (29994)Termination phase: Saturation
% 19.46/2.95
% 19.46/2.95 % (29994)Memory used [KB]: 7675
% 19.46/2.95 % (29994)Time elapsed: 0.463 s
% 19.46/2.95 % (29994)Instructions burned: 933 (million)
% 19.46/2.95 % (29994)------------------------------
% 19.46/2.95 % (29994)------------------------------
% 19.46/2.97 % (29999)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2974ds/794Mi)
% 19.46/2.97 % (30000)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2974ds/464Mi)
% 20.48/3.16 % (30000)Instruction limit reached!
% 20.48/3.16 % (30000)------------------------------
% 20.48/3.16 % (30000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.48/3.16 % (30000)Termination reason: Unknown
% 20.48/3.16 % (30000)Termination phase: Saturation
% 20.48/3.16
% 20.48/3.16 % (30000)Memory used [KB]: 6652
% 20.48/3.16 % (30000)Time elapsed: 0.197 s
% 20.48/3.16 % (30000)Instructions burned: 465 (million)
% 20.48/3.16 % (30000)------------------------------
% 20.48/3.16 % (30000)------------------------------
% 21.20/3.18 % (30001)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2972ds/1376Mi)
% 21.20/3.18 % (29972)First to succeed.
% 21.20/3.19 % (29972)Refutation found. Thanks to Tanya!
% 21.20/3.19 % SZS status Theorem for theBenchmark
% 21.20/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 21.20/3.20 % (29972)------------------------------
% 21.20/3.20 % (29972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.20/3.20 % (29972)Termination reason: Refutation
% 21.20/3.20
% 21.20/3.20 % (29972)Memory used [KB]: 13432
% 21.20/3.20 % (29972)Time elapsed: 1.588 s
% 21.20/3.20 % (29972)Instructions burned: 3183 (million)
% 21.20/3.20 % (29972)------------------------------
% 21.20/3.20 % (29972)------------------------------
% 21.20/3.20 % (29873)Success in time 2.824 s
% 21.20/3.20 % Vampire---4.8 exiting
%------------------------------------------------------------------------------