TSTP Solution File: SEV041^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV041^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n001.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 : Mon Jun 24 16:01:35 EDT 2024
% Result : Theorem 18.95s 3.16s
% Output : Refutation 18.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 11
% Syntax : Number of formulae : 427 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 4564 ( 597 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 12079 ( 586 ~; 574 |; 532 &;8113 @)
% ( 10 <=>; 856 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 591 ( 591 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 64 usr; 41 con; 0-3 aty)
% (1408 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1871 (1588 ^ 283 !; 0 ?;1871 :)
% 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 > b > b > $o ).
thf(func_def_24,type,
sK4: a > a > $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 ).
thf(func_def_30,type,
sK10: a ).
thf(func_def_31,type,
sK11: a > b ).
thf(func_def_32,type,
sK12: a > b ).
thf(func_def_33,type,
sK13: a ).
thf(func_def_34,type,
sK14: a ).
thf(func_def_35,type,
sK15: a > b ).
thf(func_def_36,type,
sK16: a > b ).
thf(func_def_37,type,
sK17: a > b ).
thf(func_def_38,type,
sK18: a ).
thf(func_def_39,type,
sK19: a ).
thf(func_def_40,type,
sK20: a > b ).
thf(func_def_41,type,
sK21: a > b ).
thf(func_def_42,type,
sK22: a > b ).
thf(func_def_43,type,
sK23: a > b ).
thf(func_def_44,type,
sK24: a > b ).
thf(func_def_45,type,
sK25: a ).
thf(func_def_46,type,
sK26: a ).
thf(func_def_47,type,
sK27: a > b ).
thf(func_def_48,type,
sK28: a > b ).
thf(func_def_49,type,
sK29: a ).
thf(func_def_50,type,
sK30: a ).
thf(func_def_51,type,
sK31: a > b ).
thf(func_def_52,type,
sK32: a > b ).
thf(func_def_53,type,
sK33: a ).
thf(func_def_54,type,
sK34: a ).
thf(func_def_55,type,
sK35: a ).
thf(func_def_56,type,
sK36: a ).
thf(func_def_57,type,
sK37: a > b ).
thf(func_def_58,type,
sK38: a > b ).
thf(func_def_59,type,
sK39: a ).
thf(func_def_60,type,
sK40: a ).
thf(func_def_61,type,
sK41: a > b ).
thf(func_def_62,type,
sK42: a > b ).
thf(func_def_63,type,
sK43: a ).
thf(func_def_64,type,
sK44: a ).
thf(func_def_65,type,
sK45: a ).
thf(func_def_66,type,
sK46: a ).
thf(func_def_67,type,
sK47: a ).
thf(func_def_68,type,
sK48: a ).
thf(func_def_69,type,
sK49: a ).
thf(func_def_70,type,
sK50: a ).
thf(func_def_71,type,
sK51: a ).
thf(func_def_72,type,
sK52: a ).
thf(func_def_73,type,
sK53: a ).
thf(func_def_74,type,
sK54: a ).
thf(f29116,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f2858,f2868,f3447,f3518,f3525,f4972,f5052,f5096,f26006,f29115]) ).
thf(f29115,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f29114]) ).
thf(f29114,plain,
( $false
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f29113]) ).
thf(f29113,plain,
( ( $false = $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f29112]) ).
thf(f29112,plain,
( ( ~ $true = $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f29027,f29106]) ).
thf(f29106,plain,
( ( ( sK3 @ sK35 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) )
= $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f29098]) ).
thf(f29098,plain,
( ( ( $true
=> ( sK3 @ sK35 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) ) )
= $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f28677,f26353]) ).
thf(f26353,plain,
( ( ( sK3 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) )
= $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26351]) ).
thf(f26351,plain,
( ( ( $true
=> ( sK3 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) )
= $true )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f26097,f26323]) ).
thf(f26323,plain,
( ( ( sK2 @ sK35 @ sK36 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(not_proxy_clausification,[],[f26289]) ).
thf(f26289,plain,
( ( $false
= ( ~ ( sK2 @ sK35 @ sK36 ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26288]) ).
thf(f26288,plain,
( ( $false
= ( ( sK2 @ sK35 @ sK36 )
=> $false ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f26283,f5044]) ).
thf(f5044,plain,
( ( $false
= ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f5043]) ).
thf(f5043,plain,
( spl0_31
<=> ( $false
= ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
thf(f26283,plain,
( ( $false
= ( ( sK2 @ sK35 @ sK36 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) ) )
| ~ spl0_20 ),
inference(beta_eta_normalization,[],[f26282]) ).
thf(f26282,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK35 @ Y0 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ Y0 ) ) )
@ sK36 ) )
| ~ spl0_20 ),
inference(sigma_clausification,[],[f26269]) ).
thf(f26269,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK35 @ Y0 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ Y0 ) ) ) )
= $false )
| ~ spl0_20 ),
inference(beta_eta_normalization,[],[f26268]) ).
thf(f26268,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ sK35 ) )
| ~ spl0_20 ),
inference(sigma_clausification,[],[f3524]) ).
thf(f3524,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f3523]) ).
thf(f3523,plain,
( spl0_20
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
thf(f26097,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK3 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ X2 ) ) )
= $true )
| ~ spl0_17 ),
inference(forward_demodulation,[],[f26096,f48]) ).
thf(f48,plain,
! [X2: a,X1: a] :
( ( sK2 @ X1 @ X2 )
= ( sK4 @ X1 @ X2 ) ),
inference(argument_congruence,[],[f47]) ).
thf(f47,plain,
! [X1: a] :
( ( sK4 @ X1 )
= ( sK2 @ X1 ) ),
inference(argument_congruence,[],[f44]) ).
thf(f44,plain,
sK2 = sK4,
inference(equality_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( ( sK4 = sK2 )
= $true ),
inference(boolean_simplification,[],[f42]) ).
thf(f42,plain,
( ( $true
& ( sK4 = sK2 ) )
= $true ),
inference(backward_demodulation,[],[f31,f41]) ).
thf(f41,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( sK4 = sK2 ) )
= $true ),
inference(boolean_simplification,[],[f30]) ).
thf(f30,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( sK4 = sK2 )
& $true )
= $true ),
inference(backward_demodulation,[],[f19,f28]) ).
thf(f28,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK5 @ Y0 )
= ( sK5 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK5 @ Y1 @ Y2 @ Y3 )
=> ( sK5 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK5 @ Y1 @ Y2 @ Y4 )
& ( sK5 @ Y1 @ Y4 @ Y3 ) )
=> ( sK5 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y2 @ Y1 )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y2 )
& ( sK5 @ Y0 @ Y2 @ Y3 ) )
=> ( sK5 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK5 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK5 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK5 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK2 @ Y1 @ Y2 ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y3 @ Y5 )
& ( Y0 @ Y2 @ Y5 @ Y4 ) )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y3 @ Y4 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y1 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK4 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ 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 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK2 @ Y1 @ Y2 ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y3 @ Y5 )
& ( Y0 @ Y2 @ Y5 @ Y4 ) )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y3 @ Y4 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y1 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK4 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ 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 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK2 @ Y2 @ Y3 ) ) ) )
& ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y3 @ Y4 )
& ( sK2 @ Y2 @ Y3 ) )
=> ( sK2 @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( ( ( Y1 @ Y2 )
= ( Y1 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y4 @ Y6 )
& ( Y1 @ Y3 @ Y6 @ Y5 ) )
=> ( Y1 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y2 @ Y4 @ Y3 )
=> ( Y1 @ Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y1 @ Y2 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y4 @ Y5 ) )
=> ( Y1 @ Y2 @ Y3 @ Y5 ) ) ) ) )
& ( ( sK3 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y2 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y2 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ 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 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK2 @ Y2 @ Y3 ) ) ) )
& ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y3 @ Y4 )
& ( sK2 @ Y2 @ Y3 ) )
=> ( sK2 @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( ( ( Y1 @ Y2 )
= ( Y1 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y4 @ Y5 )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y4 @ Y6 )
& ( Y1 @ Y3 @ Y6 @ Y5 ) )
=> ( Y1 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y2 @ Y4 @ Y3 )
=> ( Y1 @ Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y1 @ Y2 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y4 @ Y5 ) )
=> ( Y1 @ Y2 @ Y3 @ Y5 ) ) ) ) )
& ( ( sK3 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y2 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y2 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ 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 @ Y4 @ Y5 )
=> ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK2 @ Y3 @ Y4 ) ) ) )
& ( Y1 = sK2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y4 @ Y5 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( sK2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( ( ( Y2 @ Y3 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y5 @ Y7 )
& ( Y2 @ Y4 @ Y7 @ Y6 ) )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y3 @ Y5 @ Y4 )
=> ( Y2 @ Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y2 @ Y3 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y5 @ Y6 ) )
=> ( Y2 @ Y3 @ Y4 @ Y6 ) ) ) ) )
& ( ( Y0 @ Y3 )
= ( Y2 @ Y3 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y3 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ 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 @ Y5 @ Y6 )
=> ( Y2 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK2 @ Y3 @ Y4 ) ) ) )
& ( Y1 = sK2 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y4 @ Y5 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( sK2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( ( ( Y2 @ Y3 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y5 @ Y6 )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y5 @ Y7 )
& ( Y2 @ Y4 @ Y7 @ Y6 ) )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y3 @ Y5 @ Y4 )
=> ( Y2 @ Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y2 @ Y3 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y5 @ Y6 ) )
=> ( Y2 @ Y3 @ Y4 @ Y6 ) ) ) ) )
& ( ( Y0 @ Y3 )
= ( Y2 @ Y3 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y3 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( sK2 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ 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 @ Y5 @ Y6 )
=> ( Y2 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( ( ( Y3 @ Y4 )
= ( Y3 @ Y5 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y3 @ Y5 @ Y6 @ Y7 )
=> ( Y3 @ Y5 @ Y7 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y3 @ Y5 @ Y6 @ Y8 )
& ( Y3 @ Y5 @ Y8 @ Y7 ) )
=> ( Y3 @ Y5 @ Y6 @ Y7 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y3 @ Y4 @ Y6 @ Y5 )
=> ( Y3 @ Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y3 @ Y4 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y6 @ Y7 ) )
=> ( Y3 @ Y4 @ Y5 @ Y7 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y3 @ Y8 @ ( Y4 @ Y8 ) @ ( Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y4 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ 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 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y3 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( ( ( Y3 @ Y4 )
= ( Y3 @ Y5 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y3 @ Y5 @ Y6 @ Y7 )
=> ( Y3 @ Y5 @ Y7 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y3 @ Y5 @ Y6 @ Y8 )
& ( Y3 @ Y5 @ Y8 @ Y7 ) )
=> ( Y3 @ Y5 @ Y6 @ Y7 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y3 @ Y4 @ Y6 @ Y5 )
=> ( Y3 @ Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y3 @ Y4 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y6 @ Y7 ) )
=> ( Y3 @ Y4 @ Y5 @ Y7 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y3 @ Y8 @ ( Y4 @ Y8 ) @ ( Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y4 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ 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 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y3 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( ( ( Y3 @ Y4 )
= ( Y3 @ Y5 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y3 @ Y5 @ Y6 @ Y7 )
=> ( Y3 @ Y5 @ Y7 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y3 @ Y5 @ Y6 @ Y8 )
& ( Y3 @ Y5 @ Y8 @ Y7 ) )
=> ( Y3 @ Y5 @ Y6 @ Y7 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y3 @ Y4 @ Y6 @ Y5 )
=> ( Y3 @ Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y3 @ Y4 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y6 @ Y7 ) )
=> ( Y3 @ Y4 @ Y5 @ Y7 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y3 @ Y8 @ ( Y4 @ Y8 ) @ ( Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y4 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ 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 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y3 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y3: a > b > b > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y0 @ Y4 @ Y5 ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( ( ( Y3 @ Y4 )
= ( Y3 @ Y5 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y3 @ Y5 @ Y6 @ Y7 )
=> ( Y3 @ Y5 @ Y7 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y3 @ Y5 @ Y6 @ Y8 )
& ( Y3 @ Y5 @ Y8 @ Y7 ) )
=> ( Y3 @ Y5 @ Y6 @ Y7 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y3 @ Y4 @ Y6 @ Y5 )
=> ( Y3 @ Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y3 @ Y4 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y6 @ Y7 ) )
=> ( Y3 @ Y4 @ Y5 @ Y7 ) ) ) ) )
& ( ( Y1 @ Y4 )
= ( Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y8 @ Y7 )
=> ( Y3 @ Y8 @ ( Y4 @ Y8 ) @ ( Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y4 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y7 @ Y8 )
=> ( Y3 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ 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 @ Y6 @ Y7 )
=> ( Y3 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y3 @ Y7 @ ( Y5 @ Y7 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X6 @ X5 )
& ( X3 @ X5 @ X4 ) )
=> ( X3 @ X6 @ X4 ) )
& ( X1 = X3 )
& ! [X7: a,X8: a] :
( ( X3 @ X7 @ X8 )
=> ( X3 @ X8 @ X7 ) ) )
=> ( ! [X9: a,X10: a] :
( ( X3 @ X9 @ X10 )
=> ( ! [X11: b,X12: b,X13: b] :
( ( ( X0 @ X9 @ X11 @ X12 )
& ( X0 @ X9 @ X13 @ X11 ) )
=> ( X0 @ X9 @ X13 @ X12 ) )
& ! [X14: b,X15: b] :
( ( X0 @ X9 @ X15 @ X14 )
=> ( X0 @ X9 @ X14 @ X15 ) )
& ( ( X0 @ X10 )
= ( X0 @ X9 ) ) ) )
=> ( ! [X16: a] :
( ( X3 @ X16 @ X16 )
=> ( ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X17: b,X18: b,X19: b] :
( ( ( X0 @ X16 @ X18 @ X17 )
& ( X0 @ X16 @ X19 @ X18 ) )
=> ( X0 @ X16 @ X19 @ X17 ) )
& ! [X20: b,X21: b] :
( ( X0 @ X16 @ X20 @ X21 )
=> ( X0 @ X16 @ X21 @ X20 ) ) ) )
=> ( ! [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( X3 @ X25 @ X24 )
=> ( X0 @ X25 @ ( X23 @ X25 ) @ ( X22 @ X24 ) ) )
=> ! [X26: a,X27: a] :
( ( X3 @ X26 @ X27 )
=> ( X0 @ X26 @ ( X22 @ X26 ) @ ( X23 @ X27 ) ) ) )
& ( ( ^ [X28: a > b,X29: a > b] :
! [X30: a,X31: a] :
( ( X1 @ X31 @ X30 )
=> ( X2 @ X31 @ ( X28 @ X31 ) @ ( X29 @ X30 ) ) ) )
= ( ^ [X32: a > b,X33: a > b] :
! [X34: a,X35: a] :
( ( X3 @ X35 @ X34 )
=> ( X0 @ X35 @ ( X32 @ X35 ) @ ( X33 @ X34 ) ) ) ) )
& ! [X36: a > b,X37: a > b,X38: a > b] :
( ( ! [X39: a,X40: a] :
( ( X3 @ X40 @ X39 )
=> ( X0 @ X40 @ ( X36 @ X40 ) @ ( X38 @ X39 ) ) )
& ! [X41: a,X42: a] :
( ( X3 @ X41 @ X42 )
=> ( X0 @ X41 @ ( X38 @ X41 ) @ ( X37 @ X42 ) ) ) )
=> ! [X43: a,X44: a] :
( ( X3 @ X44 @ X43 )
=> ( X0 @ X44 @ ( X36 @ X44 ) @ ( X37 @ X43 ) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o,X0: a > a > $o] :
( ( ! [X6: a,X5: a,X4: a] :
( ( ( X0 @ X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X0 @ X4 @ X6 ) )
& ( X0 = X1 )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X8: b,X6: b,X7: b] :
( ( ( X2 @ X4 @ X8 @ X6 )
& ( X2 @ X4 @ X7 @ X8 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) )
& ( ( X2 @ X4 )
= ( X2 @ X5 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X6: b,X5: b,X7: b] :
( ( ( X2 @ X4 @ X5 @ X6 )
& ( X2 @ X4 @ X7 @ X5 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X7: b,X5: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X5: a > b,X4: a > b] :
( ! [X8: a,X7: 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] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X4: a > b,X6: a > b,X5: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o,X0: a > a > $o] :
( ( ! [X6: a,X5: a,X4: a] :
( ( ( X0 @ X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X0 @ X4 @ X6 ) )
& ( X0 = X1 )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X8: b,X6: b,X7: b] :
( ( ( X2 @ X4 @ X8 @ X6 )
& ( X2 @ X4 @ X7 @ X8 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) )
& ( ( X2 @ X4 )
= ( X2 @ X5 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X6: b,X5: b,X7: b] :
( ( ( X2 @ X4 @ X5 @ X6 )
& ( X2 @ X4 @ X7 @ X5 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X7: b,X5: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X5: a > b,X4: a > b] :
( ! [X8: a,X7: 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] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X4: a > b,X6: a > b,X5: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM517_pme) ).
thf(f26096,plain,
( ! [X2: a,X1: a] :
( ( ( sK4 @ X1 @ X2 )
=> ( sK3 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ X2 ) ) )
= $true )
| ~ spl0_17 ),
inference(beta_eta_normalization,[],[f26095]) ).
thf(f26095,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_17 ),
inference(pi_clausification,[],[f26059]) ).
thf(f26059,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ Y0 ) ) ) )
= $true )
| ~ spl0_17 ),
inference(beta_eta_normalization,[],[f26058]) ).
thf(f26058,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_17 ),
inference(pi_clausification,[],[f3514]) ).
thf(f3514,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f3513]) ).
thf(f3513,plain,
( spl0_17
<=> ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f28677,plain,
( ! [X2: b,X1: b] :
( ( ( sK3 @ sK35 @ X1 @ X2 )
=> ( sK3 @ sK35 @ X2 @ X1 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f28657,f28643]) ).
thf(f28643,plain,
( ! [X2: b,X1: b] :
( ( sK5 @ sK35 @ X1 @ X2 )
= ( sK3 @ sK35 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f27033,f28642]) ).
thf(f28642,plain,
( ! [X2: b,X1: b] :
( ( sK5 @ sK36 @ X1 @ X2 )
= ( sK3 @ sK35 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f28555]) ).
thf(f28555,plain,
( ! [X1: b] :
( ( sK3 @ sK35 @ X1 )
= ( sK5 @ sK36 @ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f28527]) ).
thf(f28527,plain,
( ( ( sK5 @ sK36 )
= ( sK3 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26861,f28521]) ).
thf(f28521,plain,
( ( ( sK3 @ sK35 )
= ( sK5 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(equality_proxy_clausification,[],[f28503]) ).
thf(f28503,plain,
( ( $true
= ( ( sK3 @ sK35 )
= ( sK5 @ sK35 ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f28502]) ).
thf(f28502,plain,
( ( ( $true
& ( ( sK3 @ sK35 )
= ( sK5 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26592,f28498]) ).
thf(f28498,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y1 )
& ( sK5 @ sK35 @ Y1 @ Y2 ) )
=> ( sK5 @ sK35 @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(binary_proxy_clausification,[],[f26592]) ).
thf(f26592,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y1 )
& ( sK5 @ sK35 @ Y1 @ Y2 ) )
=> ( sK5 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK35 )
= ( sK5 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26552]) ).
thf(f26552,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y1 )
& ( sK5 @ sK35 @ Y1 @ Y2 ) )
=> ( sK5 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK35 )
= ( sK5 @ sK35 ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f388,f26541]) ).
thf(f26541,plain,
( ( $true
= ( sK2 @ sK35 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26535]) ).
thf(f26535,plain,
( ( $true
= ( $true
=> ( sK2 @ sK35 @ sK35 ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f26361,f26328]) ).
thf(f26328,plain,
( ( ( sK2 @ sK36 @ sK35 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f26327]) ).
thf(f26327,plain,
( ( $false = $true )
| ( ( sK2 @ sK36 @ sK35 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26326]) ).
thf(f26326,plain,
( ( ( sK2 @ sK36 @ sK35 )
= $true )
| ( $false = ~ $false )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f26289,f64]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( ( $false
= ( sK2 @ X2 @ X1 ) )
| ( ( sK2 @ X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X2 @ X1 )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f56]) ).
thf(f56,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f41]) ).
thf(f26361,plain,
( ! [X0: a] :
( ( ( sK2 @ sK36 @ X0 )
=> ( sK2 @ sK35 @ X0 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26341]) ).
thf(f26341,plain,
( ! [X0: a] :
( ( ( ( sK2 @ sK36 @ X0 )
& $true )
=> ( sK2 @ sK35 @ X0 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f80,f26323]) ).
thf(f80,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK2 @ X2 @ X3 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ X3 ) )
= $true ),
inference(beta_eta_normalization,[],[f79]) ).
thf(f79,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f76]) ).
thf(f76,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ X2 @ Y0 )
& ( sK2 @ X1 @ X2 ) )
=> ( sK2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f39]) ).
thf(f39,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f28]) ).
thf(f388,plain,
! [X1: a] :
( ( ( sK2 @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ X1 @ Y1 @ Y0 )
=> ( sK5 @ X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ X1 @ Y0 @ Y1 )
& ( sK5 @ X1 @ Y1 @ Y2 ) )
=> ( sK5 @ X1 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ X1 )
= ( sK5 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f387]) ).
thf(f387,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y2 @ Y1 )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y2 )
& ( sK5 @ Y0 @ Y2 @ Y3 ) )
=> ( sK5 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK5 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f196]) ).
thf(f196,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y2 @ Y1 )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y2 )
& ( sK5 @ Y0 @ Y2 @ Y3 ) )
=> ( sK5 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK5 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f92]) ).
thf(f92,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y2 @ Y1 )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y2 )
& ( sK5 @ Y0 @ Y2 @ Y3 ) )
=> ( sK5 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK5 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK5 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK5 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK5 @ Y0 )
= ( sK5 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK5 @ Y1 @ Y2 @ Y3 )
=> ( sK5 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK5 @ Y1 @ Y2 @ Y4 )
& ( sK5 @ Y1 @ Y4 @ Y3 ) )
=> ( sK5 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y2 @ Y1 )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y2 )
& ( sK5 @ Y0 @ Y2 @ Y3 ) )
=> ( sK5 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK5 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK5 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK5 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK5 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK5 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f26861,plain,
( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(equality_proxy_clausification,[],[f26606]) ).
thf(f26606,plain,
( ( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26605]) ).
thf(f26605,plain,
( ( $true
= ( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
& $true ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26598,f26604]) ).
thf(f26604,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26603]) ).
thf(f26603,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26580,f26602]) ).
thf(f26602,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26601]) ).
thf(f26601,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26355,f26598]) ).
thf(f26355,plain,
( ( $true
= ( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26345]) ).
thf(f26345,plain,
( ( $true
= ( $true
=> ( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f176,f26323]) ).
thf(f176,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( ( ( sK5 @ X1 )
= ( sK5 @ X2 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ X2 @ Y0 @ Y1 )
=> ( sK5 @ X2 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ X2 @ Y0 @ Y2 )
& ( sK5 @ X2 @ Y2 @ Y1 ) )
=> ( sK5 @ X2 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f175]) ).
thf(f175,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( ( ( sK5 @ X1 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y1 @ Y2 )
=> ( sK5 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y3 )
& ( sK5 @ Y0 @ Y3 @ Y2 ) )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f152]) ).
thf(f152,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( ( ( sK5 @ X1 )
= ( sK5 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK5 @ Y0 @ Y1 @ Y2 )
=> ( sK5 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK5 @ Y0 @ Y1 @ Y3 )
& ( sK5 @ Y0 @ Y3 @ Y2 ) )
=> ( sK5 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f151]) ).
thf(f151,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK5 @ Y0 )
= ( sK5 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK5 @ Y1 @ Y2 @ Y3 )
=> ( sK5 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK5 @ Y1 @ Y2 @ Y4 )
& ( sK5 @ Y1 @ Y4 @ Y3 ) )
=> ( sK5 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f93]) ).
thf(f93,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK5 @ Y0 )
= ( sK5 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK5 @ Y1 @ Y2 @ Y3 )
=> ( sK5 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK5 @ Y1 @ Y2 @ Y4 )
& ( sK5 @ Y1 @ Y4 @ Y3 ) )
=> ( sK5 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f26580,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26579]) ).
thf(f26579,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26578]) ).
thf(f26578,plain,
( ( ( ( ( sK5 @ sK35 )
= ( sK5 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26563]) ).
thf(f26563,plain,
( ( ( $true
=> ( ( ( sK5 @ sK35 )
= ( sK5 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y2 )
& ( sK5 @ sK35 @ Y2 @ Y1 ) )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f176,f26541]) ).
thf(f26598,plain,
( ( ( ( ( sK5 @ sK36 )
= ( sK5 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(binary_proxy_clausification,[],[f26355]) ).
thf(f27033,plain,
( ! [X2: b,X1: b] :
( ( sK5 @ sK35 @ X1 @ X2 )
= ( sK5 @ sK36 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f26884]) ).
thf(f26884,plain,
( ! [X1: b] :
( ( sK5 @ sK35 @ X1 )
= ( sK5 @ sK36 @ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f26861]) ).
thf(f28657,plain,
( ! [X2: b,X1: b] :
( ( ( sK3 @ sK35 @ X1 @ X2 )
=> ( sK5 @ sK35 @ X2 @ X1 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f27416,f28643]) ).
thf(f27416,plain,
( ! [X2: b,X1: b] :
( ( ( sK5 @ sK35 @ X1 @ X2 )
=> ( sK5 @ sK35 @ X2 @ X1 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(beta_eta_normalization,[],[f27415]) ).
thf(f27415,plain,
( ! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( ( sK5 @ sK35 @ X1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ X1 ) )
@ X2 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(pi_clausification,[],[f27372]) ).
thf(f27372,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( sK5 @ sK35 @ X1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(beta_eta_normalization,[],[f27370]) ).
thf(f27370,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y0 @ Y1 )
=> ( sK5 @ sK35 @ Y1 @ Y0 ) ) )
@ X1 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(pi_clausification,[],[f26604]) ).
thf(f29027,plain,
( ( ( ~ ( sK3 @ sK35 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f28013,f29015]) ).
thf(f29015,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK36 @ X1 @ X2 )
= ( sK3 @ sK35 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f28004,f29014]) ).
thf(f29014,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK36 @ X1 @ X2 )
= ( sK3 @ sK35 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f28887]) ).
thf(f28887,plain,
( ! [X1: b] :
( ( sK3 @ sK35 @ X1 )
= ( sK6 @ sK36 @ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f28854]) ).
thf(f28854,plain,
( ( ( sK6 @ sK36 )
= ( sK3 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f27882,f28851]) ).
thf(f28851,plain,
( ( ( sK3 @ sK35 )
= ( sK3 @ sK36 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(equality_proxy_clausification,[],[f28537]) ).
thf(f28537,plain,
( ( ( ( sK3 @ sK36 )
= ( sK3 @ sK35 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f28504,f28521]) ).
thf(f28504,plain,
( ( ( ( sK3 @ sK36 )
= ( sK5 @ sK35 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f28501]) ).
thf(f28501,plain,
( ( $true
= ( $true
& ( ( sK3 @ sK36 )
= ( sK5 @ sK35 ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26865,f28498]) ).
thf(f26865,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK35 @ Y1 @ Y0 )
=> ( sK5 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK35 @ Y0 @ Y1 )
& ( sK5 @ sK35 @ Y1 @ Y2 ) )
=> ( sK5 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK5 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26511,f26861]) ).
thf(f26511,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK36 @ Y1 @ Y0 )
=> ( sK5 @ sK36 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK36 @ Y0 @ Y1 )
& ( sK5 @ sK36 @ Y1 @ Y2 ) )
=> ( sK5 @ sK36 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK5 @ sK36 ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26481]) ).
thf(f26481,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK36 @ Y1 @ Y0 )
=> ( sK5 @ sK36 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK36 @ Y0 @ Y1 )
& ( sK5 @ sK36 @ Y1 @ Y2 ) )
=> ( sK5 @ sK36 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK5 @ sK36 ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f388,f26477]) ).
thf(f26477,plain,
( ( ( sK2 @ sK36 @ sK36 )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26464]) ).
thf(f26464,plain,
( ( ( $true
=> ( sK2 @ sK36 @ sK36 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f26360,f26328]) ).
thf(f26360,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK35 )
=> ( sK2 @ X0 @ sK36 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26342]) ).
thf(f26342,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ X0 @ sK35 ) )
=> ( sK2 @ X0 @ sK36 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f80,f26323]) ).
thf(f27882,plain,
( ( ( sK6 @ sK36 )
= ( sK3 @ sK36 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26894,f27880]) ).
thf(f27880,plain,
( ( ( sK6 @ sK35 )
= ( sK3 @ sK36 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(equality_proxy_clausification,[],[f27622]) ).
thf(f27622,plain,
( ( $true
= ( ( sK3 @ sK36 )
= ( sK6 @ sK35 ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f27621]) ).
thf(f27621,plain,
( ( ( $true
& ( ( sK3 @ sK36 )
= ( sK6 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26908,f27620]) ).
thf(f27620,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y1 )
& ( sK6 @ sK35 @ Y1 @ Y2 ) )
=> ( sK6 @ sK35 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f27619]) ).
thf(f27619,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y1 )
& ( sK6 @ sK35 @ Y1 @ Y2 ) )
=> ( sK6 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& $true )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26570,f27615]) ).
thf(f27615,plain,
( ( $true
= ( ( sK3 @ sK35 )
= ( sK6 @ sK35 ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(binary_proxy_clausification,[],[f26570]) ).
thf(f26570,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y1 )
& ( sK6 @ sK35 @ Y1 @ Y2 ) )
=> ( sK6 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK35 )
= ( sK6 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26553]) ).
thf(f26553,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y1 )
& ( sK6 @ sK35 @ Y1 @ Y2 ) )
=> ( sK6 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK35 )
= ( sK6 @ sK35 ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f142,f26541]) ).
thf(f142,plain,
! [X1: a] :
( ( ( sK2 @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ X1 @ Y1 @ Y0 )
=> ( sK6 @ X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ X1 @ Y0 @ Y1 )
& ( sK6 @ X1 @ Y1 @ Y2 ) )
=> ( sK6 @ X1 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ X1 )
= ( sK6 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f141]) ).
thf(f141,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y2 @ Y1 )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y2 )
& ( sK6 @ Y0 @ Y2 @ Y3 ) )
=> ( sK6 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK6 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f61]) ).
thf(f61,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y2 @ Y1 )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y2 )
& ( sK6 @ Y0 @ Y2 @ Y3 ) )
=> ( sK6 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK6 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y2 @ Y1 )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y2 )
& ( sK6 @ Y0 @ Y2 @ Y3 ) )
=> ( sK6 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK6 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK6 @ Y0 )
= ( sK6 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK6 @ Y1 @ Y2 @ Y3 )
=> ( sK6 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK6 @ Y1 @ Y2 @ Y4 )
& ( sK6 @ Y1 @ Y4 @ Y3 ) )
=> ( sK6 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y2 @ Y1 )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y2 )
& ( sK6 @ Y0 @ Y2 @ Y3 ) )
=> ( sK6 @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK6 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
( ( ^ [Y0: a > b > b > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y3 @ Y5 )
& ( Y0 @ Y2 @ Y5 @ Y4 ) )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y3 @ Y4 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y1 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK4 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ 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 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[],[f24]) ).
thf(f24,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y3 @ Y5 )
& ( Y0 @ Y2 @ Y5 @ Y4 ) )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y3 @ Y4 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y1 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK4 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ 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 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f23]) ).
thf(f23,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( $true
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y3 @ Y5 )
& ( Y0 @ Y2 @ Y5 @ Y4 ) )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y1 @ Y3 @ Y2 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( Y0 @ Y1 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y3 @ Y4 ) )
=> ( Y0 @ Y1 @ Y2 @ Y4 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y1 @ Y5 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK4 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ 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 @ Y3 @ Y4 )
=> ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f15,f19]) ).
thf(f26908,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y1 )
& ( sK6 @ sK35 @ Y1 @ Y2 ) )
=> ( sK6 @ sK35 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK6 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26524,f26894]) ).
thf(f26524,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK36 @ Y1 @ Y0 )
=> ( sK6 @ sK36 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK36 @ Y0 @ Y1 )
& ( sK6 @ sK36 @ Y1 @ Y2 ) )
=> ( sK6 @ sK36 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK6 @ sK36 ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26482]) ).
thf(f26482,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK36 @ Y1 @ Y0 )
=> ( sK6 @ sK36 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK36 @ Y0 @ Y1 )
& ( sK6 @ sK36 @ Y1 @ Y2 ) )
=> ( sK6 @ sK36 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK36 )
= ( sK6 @ sK36 ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f142,f26477]) ).
thf(f26894,plain,
( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(equality_proxy_clausification,[],[f26741]) ).
thf(f26741,plain,
( ( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26740]) ).
thf(f26740,plain,
( ( ( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
& $true )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26729,f26739]) ).
thf(f26739,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26738]) ).
thf(f26738,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26585,f26737]) ).
thf(f26737,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26736]) ).
thf(f26736,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f26356,f26729]) ).
thf(f26356,plain,
( ( $true
= ( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26336]) ).
thf(f26336,plain,
( ( ( $true
=> ( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f54,f26323]) ).
thf(f54,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( ( ( sK6 @ X1 )
= ( sK6 @ X2 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ X2 @ Y0 @ Y1 )
=> ( sK6 @ X2 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ X2 @ Y0 @ Y2 )
& ( sK6 @ X2 @ Y2 @ Y1 ) )
=> ( sK6 @ X2 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f53]) ).
thf(f53,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( ( ( sK6 @ X1 )
= ( sK6 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y1 @ Y2 )
=> ( sK6 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y3 )
& ( sK6 @ Y0 @ Y3 @ Y2 ) )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f50]) ).
thf(f50,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( ( ( sK6 @ X1 )
= ( sK6 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK6 @ Y0 @ Y1 @ Y2 )
=> ( sK6 @ Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK6 @ Y0 @ Y1 @ Y3 )
& ( sK6 @ Y0 @ Y3 @ Y2 ) )
=> ( sK6 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK6 @ Y0 )
= ( sK6 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK6 @ Y1 @ Y2 @ Y3 )
=> ( sK6 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK6 @ Y1 @ Y2 @ Y4 )
& ( sK6 @ Y1 @ Y4 @ Y3 ) )
=> ( sK6 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f33]) ).
thf(f33,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( ( ( sK6 @ Y0 )
= ( sK6 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK6 @ Y1 @ Y2 @ Y3 )
=> ( sK6 @ Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK6 @ Y1 @ Y2 @ Y4 )
& ( sK6 @ Y1 @ Y4 @ Y3 ) )
=> ( sK6 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f26585,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26584]) ).
thf(f26584,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26583]) ).
thf(f26583,plain,
( ( $true
= ( ( ( sK6 @ sK35 )
= ( sK6 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f26554]) ).
thf(f26554,plain,
( ( $true
= ( $true
=> ( ( ( sK6 @ sK35 )
= ( sK6 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK35 @ Y0 @ Y2 )
& ( sK6 @ sK35 @ Y2 @ Y1 ) )
=> ( sK6 @ sK35 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f54,f26541]) ).
thf(f26729,plain,
( ( ( ( ( sK6 @ sK36 )
= ( sK6 @ sK35 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(binary_proxy_clausification,[],[f26356]) ).
thf(f28004,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK36 @ X1 @ X2 )
= ( sK6 @ sK36 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f27915]) ).
thf(f27915,plain,
( ! [X1: b] :
( ( sK6 @ sK36 @ X1 )
= ( sK3 @ sK36 @ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f27882]) ).
thf(f28013,plain,
( ( ( ~ ( sK3 @ sK36 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f27530,f28005]) ).
thf(f28005,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK36 @ X1 @ X2 )
= ( sK6 @ sK35 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(backward_demodulation,[],[f27036,f28004]) ).
thf(f27036,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK35 @ X1 @ X2 )
= ( sK6 @ sK36 @ X1 @ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f26915]) ).
thf(f26915,plain,
( ! [X1: b] :
( ( sK6 @ sK36 @ X1 )
= ( sK6 @ sK35 @ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(argument_congruence,[],[f26894]) ).
thf(f27530,plain,
( ( $true
= ( ~ ( sK6 @ sK35 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) ) ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(boolean_simplification,[],[f27526]) ).
thf(f27526,plain,
( ( ( ( sK6 @ sK35 @ ( sK28 @ sK36 ) @ ( sK27 @ sK35 ) )
=> $false )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f27512,f5044]) ).
thf(f27512,plain,
( ! [X2: b,X1: b] :
( ( ( sK6 @ sK35 @ X1 @ X2 )
=> ( sK6 @ sK35 @ X2 @ X1 ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(beta_eta_normalization,[],[f27511]) ).
thf(f27511,plain,
( ! [X2: b,X1: b] :
( $true
= ( ^ [Y0: b] :
( ( sK6 @ sK35 @ X1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ X1 ) )
@ X2 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(pi_clausification,[],[f27492]) ).
thf(f27492,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( sK6 @ sK35 @ X1 @ Y0 )
=> ( sK6 @ sK35 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_20
| ~ spl0_31 ),
inference(beta_eta_normalization,[],[f27487]) ).
thf(f27487,plain,
( ! [X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK35 @ Y0 @ Y1 )
=> ( sK6 @ sK35 @ Y1 @ Y0 ) ) )
@ X1 ) )
| ~ spl0_20
| ~ spl0_31 ),
inference(pi_clausification,[],[f26739]) ).
thf(f26006,plain,
( ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f26005]) ).
thf(f26005,plain,
( $false
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f26004]) ).
thf(f26004,plain,
( ( $false = $true )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f25995,f5088]) ).
thf(f5088,plain,
( ( ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) )
= $false )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f5087]) ).
thf(f5087,plain,
( spl0_33
<=> ( ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
thf(f25995,plain,
( ( ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) )
= $true )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f23857,f25487]) ).
thf(f25487,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK30 @ X1 @ X2 )
= ( sK3 @ sK29 @ X1 @ X2 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f14162,f25486]) ).
thf(f25486,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK30 @ X1 @ X2 )
= ( sK3 @ sK29 @ X1 @ X2 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f25455]) ).
thf(f25455,plain,
( ! [X1: b] :
( ( sK6 @ sK30 @ X1 )
= ( sK3 @ sK29 @ X1 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f25436]) ).
thf(f25436,plain,
( ( ( sK6 @ sK30 )
= ( sK3 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f14122,f25424]) ).
thf(f25424,plain,
( ( ( sK3 @ sK29 )
= ( sK3 @ sK30 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(equality_proxy_clausification,[],[f13135]) ).
thf(f13135,plain,
( ( ( ( sK3 @ sK29 )
= ( sK3 @ sK30 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f13047,f13111]) ).
thf(f13111,plain,
( ( ( sK3 @ sK30 )
= ( sK5 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(equality_proxy_clausification,[],[f13054]) ).
thf(f13054,plain,
( ( $true
= ( ( sK3 @ sK30 )
= ( sK5 @ sK29 ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f13053]) ).
thf(f13053,plain,
( ( ( $true
& ( ( sK3 @ sK30 )
= ( sK5 @ sK29 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7236,f13052]) ).
thf(f13052,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y1 @ Y0 )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y1 )
& ( sK5 @ sK29 @ Y1 @ Y2 ) )
=> ( sK5 @ sK29 @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f13051]) ).
thf(f13051,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y1 @ Y0 )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y1 )
& ( sK5 @ sK29 @ Y1 @ Y2 ) )
=> ( sK5 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& $true ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6926,f13047]) ).
thf(f6926,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y1 @ Y0 )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y1 )
& ( sK5 @ sK29 @ Y1 @ Y2 ) )
=> ( sK5 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK29 )
= ( sK5 @ sK29 ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6893]) ).
thf(f6893,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y1 @ Y0 )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y1 )
& ( sK5 @ sK29 @ Y1 @ Y2 ) )
=> ( sK5 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK29 )
= ( sK5 @ sK29 ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f388,f6882]) ).
thf(f6882,plain,
( ( $true
= ( sK2 @ sK29 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6877]) ).
thf(f6877,plain,
( ( ( $true
=> ( sK2 @ sK29 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f6667,f6645]) ).
thf(f6645,plain,
( ( ( sK2 @ sK30 @ sK29 )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f6644]) ).
thf(f6644,plain,
( ( ( sK2 @ sK30 @ sK29 )
= $true )
| ( $false = $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6640]) ).
thf(f6640,plain,
( ( ( sK2 @ sK30 @ sK29 )
= $true )
| ( $false = ~ $false )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f6594,f64]) ).
thf(f6594,plain,
( ( $false
= ( ~ ( sK2 @ sK29 @ sK30 ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6593]) ).
thf(f6593,plain,
( ( $false
= ( ( sK2 @ sK29 @ sK30 )
=> $false ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f6592,f5088]) ).
thf(f6592,plain,
( ( $false
= ( ( sK2 @ sK29 @ sK30 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) ) )
| ~ spl0_19 ),
inference(forward_demodulation,[],[f6591,f48]) ).
thf(f6591,plain,
( ( ( ( sK4 @ sK29 @ sK30 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) )
= $false )
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f6590]) ).
thf(f6590,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ sK29 @ Y0 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ Y0 ) ) )
@ sK30 )
= $false )
| ~ spl0_19 ),
inference(sigma_clausification,[],[f6549]) ).
thf(f6549,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK29 @ Y0 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ Y0 ) ) ) )
= $false )
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f6548]) ).
thf(f6548,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ sK29 ) )
| ~ spl0_19 ),
inference(sigma_clausification,[],[f3521]) ).
thf(f3521,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f3520]) ).
thf(f3520,plain,
( spl0_19
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f6667,plain,
( ! [X0: a] :
( ( ( sK2 @ sK30 @ X0 )
=> ( sK2 @ sK29 @ X0 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6655]) ).
thf(f6655,plain,
( ! [X0: a] :
( ( ( ( sK2 @ sK30 @ X0 )
& $true )
=> ( sK2 @ sK29 @ X0 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f80,f6637]) ).
thf(f6637,plain,
( ( ( sK2 @ sK29 @ sK30 )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(not_proxy_clausification,[],[f6594]) ).
thf(f7236,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y1 @ Y0 )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y1 )
& ( sK5 @ sK29 @ Y1 @ Y2 ) )
=> ( sK5 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK5 @ sK29 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6997,f7232]) ).
thf(f7232,plain,
( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(equality_proxy_clausification,[],[f7064]) ).
thf(f7064,plain,
( ( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7063]) ).
thf(f7063,plain,
( ( ( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7054,f7062]) ).
thf(f7062,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7059]) ).
thf(f7059,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6916,f7058]) ).
thf(f7058,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7057]) ).
thf(f7057,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6669,f7054]) ).
thf(f6669,plain,
( ( ( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6659]) ).
thf(f6659,plain,
( ( $true
= ( $true
=> ( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f176,f6637]) ).
thf(f6916,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6915]) ).
thf(f6915,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6914]) ).
thf(f6914,plain,
( ( ( ( ( sK5 @ sK29 )
= ( sK5 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6904]) ).
thf(f6904,plain,
( ( ( $true
=> ( ( ( sK5 @ sK29 )
= ( sK5 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK29 @ Y0 @ Y2 )
& ( sK5 @ sK29 @ Y2 @ Y1 ) )
=> ( sK5 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f176,f6882]) ).
thf(f7054,plain,
( ( ( ( ( sK5 @ sK30 )
= ( sK5 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK29 @ Y0 @ Y1 )
=> ( sK5 @ sK29 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(binary_proxy_clausification,[],[f6669]) ).
thf(f6997,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK30 @ Y1 @ Y0 )
=> ( sK5 @ sK30 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK30 @ Y0 @ Y1 )
& ( sK5 @ sK30 @ Y1 @ Y2 ) )
=> ( sK5 @ sK30 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK5 @ sK30 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6966]) ).
thf(f6966,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK5 @ sK30 @ Y1 @ Y0 )
=> ( sK5 @ sK30 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK5 @ sK30 @ Y0 @ Y1 )
& ( sK5 @ sK30 @ Y1 @ Y2 ) )
=> ( sK5 @ sK30 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK5 @ sK30 ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f388,f6960]) ).
thf(f6960,plain,
( ( ( sK2 @ sK30 @ sK30 )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6945]) ).
thf(f6945,plain,
( ( ( $true
=> ( sK2 @ sK30 @ sK30 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f6672,f6645]) ).
thf(f6672,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK29 )
=> ( sK2 @ X0 @ sK30 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6656]) ).
thf(f6656,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK29 ) )
=> ( sK2 @ X0 @ sK30 ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f80,f6637]) ).
thf(f13047,plain,
( ( ( ( sK3 @ sK29 )
= ( sK5 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(binary_proxy_clausification,[],[f6926]) ).
thf(f14122,plain,
( ( ( sK6 @ sK30 )
= ( sK3 @ sK30 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7124,f14119]) ).
thf(f14119,plain,
( ( ( sK3 @ sK30 )
= ( sK6 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(equality_proxy_clausification,[],[f14106]) ).
thf(f14106,plain,
( ( ( ( sK3 @ sK30 )
= ( sK6 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f14105]) ).
thf(f14105,plain,
( ( ( $true
& ( ( sK3 @ sK30 )
= ( sK6 @ sK29 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7138,f14104]) ).
thf(f14104,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y1 @ Y0 )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y1 )
& ( sK6 @ sK29 @ Y1 @ Y2 ) )
=> ( sK6 @ sK29 @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f14103]) ).
thf(f14103,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y1 @ Y0 )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y1 )
& ( sK6 @ sK29 @ Y1 @ Y2 ) )
=> ( sK6 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6934,f14099]) ).
thf(f14099,plain,
( ( ( ( sK3 @ sK29 )
= ( sK6 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(binary_proxy_clausification,[],[f6934]) ).
thf(f6934,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y1 @ Y0 )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y1 )
& ( sK6 @ sK29 @ Y1 @ Y2 ) )
=> ( sK6 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK29 )
= ( sK6 @ sK29 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6894]) ).
thf(f6894,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y1 @ Y0 )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y1 )
& ( sK6 @ sK29 @ Y1 @ Y2 ) )
=> ( sK6 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK29 )
= ( sK6 @ sK29 ) ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f142,f6882]) ).
thf(f7138,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y1 @ Y0 )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y1 )
& ( sK6 @ sK29 @ Y1 @ Y2 ) )
=> ( sK6 @ sK29 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK6 @ sK29 ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7001,f7124]) ).
thf(f7001,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK30 @ Y1 @ Y0 )
=> ( sK6 @ sK30 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK30 @ Y0 @ Y1 )
& ( sK6 @ sK30 @ Y1 @ Y2 ) )
=> ( sK6 @ sK30 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK6 @ sK30 ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6967]) ).
thf(f6967,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK30 @ Y1 @ Y0 )
=> ( sK6 @ sK30 @ Y0 @ Y1 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK30 @ Y0 @ Y1 )
& ( sK6 @ sK30 @ Y1 @ Y2 ) )
=> ( sK6 @ sK30 @ Y0 @ Y2 ) ) ) ) )
& ( ( sK3 @ sK30 )
= ( sK6 @ sK30 ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f142,f6960]) ).
thf(f7124,plain,
( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(equality_proxy_clausification,[],[f7119]) ).
thf(f7119,plain,
( ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7118]) ).
thf(f7118,plain,
( ( ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f7113,f7114]) ).
thf(f7114,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7110]) ).
thf(f7110,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6931,f7106]) ).
thf(f7106,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(binary_proxy_clausification,[],[f6676]) ).
thf(f6676,plain,
( ( ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6650]) ).
thf(f6650,plain,
( ( ( $true
=> ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f54,f6637]) ).
thf(f6931,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6930]) ).
thf(f6930,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6929]) ).
thf(f6929,plain,
( ( $true
= ( ( ( sK6 @ sK29 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6895]) ).
thf(f6895,plain,
( ( ( $true
=> ( ( ( sK6 @ sK29 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK29 @ Y0 @ Y2 )
& ( sK6 @ sK29 @ Y2 @ Y1 ) )
=> ( sK6 @ sK29 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f54,f6882]) ).
thf(f7113,plain,
( ( ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f7111]) ).
thf(f7111,plain,
( ( ( ( ( sK6 @ sK30 )
= ( sK6 @ sK29 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK29 @ Y0 @ Y1 )
=> ( sK6 @ sK29 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f6676,f7106]) ).
thf(f14162,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK30 @ X1 @ X2 )
= ( sK6 @ sK30 @ X1 @ X2 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f14149]) ).
thf(f14149,plain,
( ! [X1: b] :
( ( sK3 @ sK30 @ X1 )
= ( sK6 @ sK30 @ X1 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f14122]) ).
thf(f23857,plain,
( ( $true
= ( sK3 @ sK30 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f6671,f14163]) ).
thf(f14163,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK29 @ X1 @ X2 )
= ( sK3 @ sK30 @ X1 @ X2 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(backward_demodulation,[],[f7229,f14162]) ).
thf(f7229,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK29 @ X1 @ X2 )
= ( sK6 @ sK30 @ X1 @ X2 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f7151]) ).
thf(f7151,plain,
( ! [X1: b] :
( ( sK6 @ sK29 @ X1 )
= ( sK6 @ sK30 @ X1 ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(argument_congruence,[],[f7124]) ).
thf(f6671,plain,
( ( ( sK6 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) )
= $true )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(boolean_simplification,[],[f6664]) ).
thf(f6664,plain,
( ( ( $true
=> ( sK6 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) )
= $true )
| ~ spl0_12
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f6389,f6637]) ).
thf(f6389,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK6 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ X2 ) ) )
= $true )
| ~ spl0_12
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f6388]) ).
thf(f6388,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_12
| ~ spl0_19 ),
inference(pi_clausification,[],[f6351]) ).
thf(f6351,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK27 @ X1 ) @ ( sK28 @ Y0 ) ) ) )
= $true )
| ~ spl0_12
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f6350]) ).
thf(f6350,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_12
| ~ spl0_19 ),
inference(pi_clausification,[],[f6349]) ).
thf(f6349,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
!= $false )
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f3505,f3521]) ).
thf(f3505,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) )
| ~ spl0_12 ),
inference(beta_eta_normalization,[],[f3504]) ).
thf(f3504,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK27 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK28 )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK27 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK28 ) )
| ~ spl0_12 ),
inference(negative_extensionality,[],[f3469]) ).
thf(f3469,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK27 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK27 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_12 ),
inference(beta_eta_normalization,[],[f3468]) ).
thf(f3468,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK27 )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK27 ) )
| ~ spl0_12 ),
inference(negative_extensionality,[],[f3454]) ).
thf(f3454,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ~ spl0_12 ),
inference(equality_proxy_clausification,[],[f2867]) ).
thf(f2867,plain,
( ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
= $false )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f2866]) ).
thf(f2866,plain,
( spl0_12
<=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f5096,plain,
( spl0_33
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f5095,f3520,f5087]) ).
thf(f5095,plain,
( ( ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) )
= $false )
| ~ spl0_19 ),
inference(boolean_simplification,[],[f5094]) ).
thf(f5094,plain,
( ( ( $true
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) )
= $false )
| ~ spl0_19 ),
inference(backward_demodulation,[],[f5078,f5080]) ).
thf(f5080,plain,
( ( ( sK2 @ sK29 @ sK30 )
= $true )
| ~ spl0_19 ),
inference(binary_proxy_clausification,[],[f5078]) ).
thf(f5078,plain,
( ( $false
= ( ( sK2 @ sK29 @ sK30 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) ) )
| ~ spl0_19 ),
inference(forward_demodulation,[],[f5077,f48]) ).
thf(f5077,plain,
( ( ( ( sK4 @ sK29 @ sK30 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ sK30 ) ) )
= $false )
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f5076]) ).
thf(f5076,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ sK29 @ Y0 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ Y0 ) ) )
@ sK30 )
= $false )
| ~ spl0_19 ),
inference(sigma_clausification,[],[f5075]) ).
thf(f5075,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK29 @ Y0 )
=> ( sK3 @ sK29 @ ( sK27 @ sK29 ) @ ( sK28 @ Y0 ) ) ) )
= $false )
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f5074]) ).
thf(f5074,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ sK29 ) )
| ~ spl0_19 ),
inference(sigma_clausification,[],[f3521]) ).
thf(f5052,plain,
( spl0_31
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f5035,f3523,f5043]) ).
thf(f5035,plain,
( ( $false
= ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) )
| ~ spl0_20 ),
inference(binary_proxy_clausification,[],[f5032]) ).
thf(f5032,plain,
( ( $false
= ( ( sK2 @ sK35 @ sK36 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ sK36 ) ) ) )
| ~ spl0_20 ),
inference(beta_eta_normalization,[],[f5031]) ).
thf(f5031,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK35 @ Y0 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ Y0 ) ) )
@ sK36 ) )
| ~ spl0_20 ),
inference(sigma_clausification,[],[f5028]) ).
thf(f5028,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK35 @ Y0 )
=> ( sK6 @ sK35 @ ( sK27 @ sK35 ) @ ( sK28 @ Y0 ) ) ) )
= $false )
| ~ spl0_20 ),
inference(beta_eta_normalization,[],[f5027]) ).
thf(f5027,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) )
@ sK35 ) )
| ~ spl0_20 ),
inference(sigma_clausification,[],[f3524]) ).
thf(f4972,plain,
( ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f4971]) ).
thf(f4971,plain,
( $false
| ~ spl0_18
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f4970]) ).
thf(f4970,plain,
( ( $false = $true )
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f3517,f3524]) ).
thf(f3517,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f3516]) ).
thf(f3516,plain,
( spl0_18
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f3525,plain,
( spl0_19
| spl0_20
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3511,f2866,f3523,f3520]) ).
thf(f3511,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f3505]) ).
thf(f3518,plain,
( spl0_17
| spl0_18
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3510,f2866,f3516,f3513]) ).
thf(f3510,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK27 @ Y0 ) @ ( sK28 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f3505]) ).
thf(f3447,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f3446]) ).
thf(f3446,plain,
( $false
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f3445]) ).
thf(f3445,plain,
( ( $false = $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3444]) ).
thf(f3444,plain,
( ( ~ $true = $true )
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3432,f3008]) ).
thf(f3008,plain,
( ( ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK22 @ sK25 ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3005]) ).
thf(f3005,plain,
( ( ( $true
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK22 @ sK25 ) ) )
= $true )
| ~ spl0_11 ),
inference(superposition,[],[f2972,f2968]) ).
thf(f2968,plain,
( ( ( sK2 @ sK25 @ sK25 )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2966]) ).
thf(f2966,plain,
( ( ( $true
=> ( sK2 @ sK25 @ sK25 ) )
= $true )
| ~ spl0_11 ),
inference(superposition,[],[f2930,f2917]) ).
thf(f2917,plain,
( ( ( sK2 @ sK26 @ sK25 )
= $true )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f2916]) ).
thf(f2916,plain,
( ( $false = $true )
| ( ( sK2 @ sK26 @ sK25 )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2915]) ).
thf(f2915,plain,
( ( ( sK2 @ sK26 @ sK25 )
= $true )
| ( $false
= ( $false
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ sK26 ) ) ) )
| ~ spl0_11 ),
inference(superposition,[],[f2912,f64]) ).
thf(f2912,plain,
( ( ( ( sK2 @ sK25 @ sK26 )
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ sK26 ) ) )
= $false )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2911]) ).
thf(f2911,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK25 @ Y0 )
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ Y0 ) ) )
@ sK26 ) )
| ~ spl0_11 ),
inference(sigma_clausification,[],[f2910]) ).
thf(f2910,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK25 @ Y0 )
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ Y0 ) ) ) ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2909]) ).
thf(f2909,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK23 @ Y1 ) ) ) )
@ sK25 )
= $false )
| ~ spl0_11 ),
inference(sigma_clausification,[],[f2908]) ).
thf(f2908,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK23 @ Y1 ) ) ) ) ) )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2907]) ).
thf(f2907,plain,
( ( $false
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK23 @ Y1 ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(backward_demodulation,[],[f2898,f2906]) ).
thf(f2906,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK22 @ Y1 ) @ ( sK23 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK22 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(binary_proxy_clausification,[],[f2898]) ).
thf(f2898,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK22 @ Y1 ) @ ( sK23 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK22 @ Y1 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK23 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2897]) ).
thf(f2897,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK6 @ Y2 @ ( sK22 @ Y2 ) @ ( sK23 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( Y0 @ Y1 ) @ ( sK22 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( Y0 @ Y1 ) @ ( sK23 @ Y2 ) ) ) ) ) )
@ sK24 ) )
| ~ spl0_11 ),
inference(sigma_clausification,[],[f2894]) ).
thf(f2894,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK6 @ Y2 @ ( sK22 @ Y2 ) @ ( sK23 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( Y0 @ Y1 ) @ ( sK22 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( Y0 @ Y1 ) @ ( sK23 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2893]) ).
thf(f2893,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( sK22 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y1 @ Y2 ) @ ( sK22 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) )
@ sK23 ) )
| ~ spl0_11 ),
inference(sigma_clausification,[],[f2890]) ).
thf(f2890,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( sK22 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y1 @ Y2 ) @ ( sK22 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2889]) ).
thf(f2889,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) )
@ sK22 ) )
| ~ spl0_11 ),
inference(sigma_clausification,[],[f2864]) ).
thf(f2864,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 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f2863]) ).
thf(f2863,plain,
( spl0_11
<=> ( $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 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f2930,plain,
( ! [X0: a] :
( ( ( sK2 @ sK26 @ X0 )
=> ( sK2 @ sK25 @ X0 ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2926]) ).
thf(f2926,plain,
( ! [X0: a] :
( ( ( ( sK2 @ sK26 @ X0 )
& $true )
=> ( sK2 @ sK25 @ X0 ) )
= $true )
| ~ spl0_11 ),
inference(superposition,[],[f80,f2914]) ).
thf(f2914,plain,
( ( $true
= ( sK2 @ sK25 @ sK26 ) )
| ~ spl0_11 ),
inference(binary_proxy_clausification,[],[f2912]) ).
thf(f2972,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK6 @ X1 @ ( sK24 @ X1 ) @ ( sK22 @ X2 ) ) )
= $true )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2971]) ).
thf(f2971,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK24 @ X1 ) @ ( sK22 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f2961]) ).
thf(f2961,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK24 @ X1 ) @ ( sK22 @ Y0 ) ) ) )
= $true )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f2960]) ).
thf(f2960,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK22 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_11 ),
inference(pi_clausification,[],[f2941]) ).
thf(f2941,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK22 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2940]) ).
thf(f2940,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK24 @ Y0 ) @ ( sK22 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(backward_demodulation,[],[f2906,f2939]) ).
thf(f2939,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK22 @ Y1 ) @ ( sK23 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(binary_proxy_clausification,[],[f2906]) ).
thf(f3432,plain,
( ( ( ~ ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK22 @ sK25 ) ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3427]) ).
thf(f3427,plain,
( ( ( ~ ( ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK22 @ sK25 ) )
& $true ) )
= $true )
| ~ spl0_11 ),
inference(superposition,[],[f3271,f3156]) ).
thf(f3156,plain,
( ( ( sK6 @ sK25 @ ( sK22 @ sK25 ) @ ( sK23 @ sK26 ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3154]) ).
thf(f3154,plain,
( ( ( $true
=> ( sK6 @ sK25 @ ( sK22 @ sK25 ) @ ( sK23 @ sK26 ) ) )
= $true )
| ~ spl0_11 ),
inference(superposition,[],[f3145,f2914]) ).
thf(f3145,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK6 @ X2 @ ( sK22 @ X2 ) @ ( sK23 @ X1 ) ) )
= $true )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f3144]) ).
thf(f3144,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ ( sK22 @ Y0 ) @ ( sK23 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f3141]) ).
thf(f3141,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ ( sK22 @ Y0 ) @ ( sK23 @ X1 ) ) ) )
= $true )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f3140]) ).
thf(f3140,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK22 @ Y1 ) @ ( sK23 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f2939]) ).
thf(f3271,plain,
( ! [X0: b] :
( ( ~ ( ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ X0 )
& ( sK6 @ sK25 @ X0 @ ( sK23 @ sK26 ) ) ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3243]) ).
thf(f3243,plain,
( ! [X0: b] :
( $true
= ( ( ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ X0 )
& ( sK6 @ sK25 @ X0 @ ( sK23 @ sK26 ) ) )
=> $false ) )
| ~ spl0_11 ),
inference(superposition,[],[f3239,f2919]) ).
thf(f2919,plain,
( ( $false
= ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ sK26 ) ) )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2918]) ).
thf(f2918,plain,
( ( $false
= ( $true
=> ( sK6 @ sK25 @ ( sK24 @ sK25 ) @ ( sK23 @ sK26 ) ) ) )
| ~ spl0_11 ),
inference(backward_demodulation,[],[f2912,f2914]) ).
thf(f3239,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ( ( sK6 @ sK25 @ X1 @ X3 )
& ( sK6 @ sK25 @ X3 @ X2 ) )
=> ( sK6 @ sK25 @ X1 @ X2 ) )
= $true )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f3238]) ).
thf(f3238,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ^ [Y0: b] :
( ( ( sK6 @ sK25 @ X1 @ Y0 )
& ( sK6 @ sK25 @ Y0 @ X2 ) )
=> ( sK6 @ sK25 @ X1 @ X2 ) )
@ X3 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f3235]) ).
thf(f3235,plain,
( ! [X2: b,X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( ( sK6 @ sK25 @ X1 @ Y0 )
& ( sK6 @ sK25 @ Y0 @ X2 ) )
=> ( sK6 @ sK25 @ X1 @ X2 ) ) ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f3234]) ).
thf(f3234,plain,
( ! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK6 @ sK25 @ X1 @ Y1 )
& ( sK6 @ sK25 @ Y1 @ Y0 ) )
=> ( sK6 @ sK25 @ X1 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f3229]) ).
thf(f3229,plain,
( ! [X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK6 @ sK25 @ X1 @ Y1 )
& ( sK6 @ sK25 @ Y1 @ Y0 ) )
=> ( sK6 @ sK25 @ X1 @ Y0 ) ) ) ) )
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f3224]) ).
thf(f3224,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK25 @ Y0 @ Y2 )
& ( sK6 @ sK25 @ Y2 @ Y1 ) )
=> ( sK6 @ sK25 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_11 ),
inference(pi_clausification,[],[f3217]) ).
thf(f3217,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK25 @ Y0 @ Y2 )
& ( sK6 @ sK25 @ Y2 @ Y1 ) )
=> ( sK6 @ sK25 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f3216]) ).
thf(f3216,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK25 @ Y0 @ Y2 )
& ( sK6 @ sK25 @ Y2 @ Y1 ) )
=> ( sK6 @ sK25 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(backward_demodulation,[],[f2934,f3213]) ).
thf(f3213,plain,
( ( ( ( ( sK6 @ sK26 )
= ( sK6 @ sK25 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK25 @ Y0 @ Y1 )
=> ( sK6 @ sK25 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(binary_proxy_clausification,[],[f2934]) ).
thf(f2934,plain,
( ( ( ( ( sK6 @ sK26 )
= ( sK6 @ sK25 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK25 @ Y0 @ Y1 )
=> ( sK6 @ sK25 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK25 @ Y0 @ Y2 )
& ( sK6 @ sK25 @ Y2 @ Y1 ) )
=> ( sK6 @ sK25 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f2921]) ).
thf(f2921,plain,
( ( $true
= ( $true
=> ( ( ( sK6 @ sK26 )
= ( sK6 @ sK25 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK25 @ Y0 @ Y1 )
=> ( sK6 @ sK25 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK25 @ Y0 @ Y2 )
& ( sK6 @ sK25 @ Y2 @ Y1 ) )
=> ( sK6 @ sK25 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_11 ),
inference(superposition,[],[f54,f2914]) ).
thf(f2868,plain,
( spl0_11
| spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2861,f67,f2866,f2863]) ).
thf(f67,plain,
( spl0_1
<=> ( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f2861,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 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f68,plain,
( ( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f2858,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f2857]) ).
thf(f2857,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f2856]) ).
thf(f2856,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2842,f661]) ).
thf(f661,plain,
( ( $false
= ( sK6 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f656,f100]) ).
thf(f100,plain,
( ( $false
= ( sK6 @ sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( ( ( sK2 @ sK10 @ sK9 )
=> ( sK6 @ sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f98]) ).
thf(f98,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ sK9 )
=> ( sK6 @ Y0 @ ( sK8 @ Y0 ) @ ( sK7 @ sK9 ) ) )
@ sK10 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f91]) ).
thf(f91,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ sK9 )
=> ( sK6 @ Y0 @ ( sK8 @ Y0 ) @ ( sK7 @ sK9 ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f90]) ).
thf(f90,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK8 @ Y1 ) @ ( sK7 @ Y0 ) ) ) )
@ sK9 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f84]) ).
thf(f84,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK8 @ Y1 ) @ ( sK7 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f82,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ ( sK8 @ Y1 ) @ ( sK7 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f81]) ).
thf(f81,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK7 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( sK7 @ Y1 ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f78]) ).
thf(f78,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK6 @ Y1 @ ( sK7 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( sK7 @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f77]) ).
thf(f77,plain,
( ( ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
@ sK7 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f71]) ).
thf(f71,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl0_2
<=> ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f656,plain,
( ! [X2: b,X1: b] :
( ( sK6 @ sK9 @ X1 @ X2 )
= ( sK6 @ sK10 @ X1 @ X2 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f515]) ).
thf(f515,plain,
( ! [X1: b] :
( ( sK6 @ sK9 @ X1 )
= ( sK6 @ sK10 @ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f502]) ).
thf(f502,plain,
( ( ( sK6 @ sK10 )
= ( sK6 @ sK9 ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f497]) ).
thf(f497,plain,
( ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f496]) ).
thf(f496,plain,
( ( ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f494,f495]) ).
thf(f495,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f492]) ).
thf(f492,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f172,f488]) ).
thf(f488,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f115]) ).
thf(f115,plain,
( ( ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f111]) ).
thf(f111,plain,
( ( $true
= ( $true
=> ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f54,f101]) ).
thf(f101,plain,
( ( ( sK2 @ sK10 @ sK9 )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f172,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f171]) ).
thf(f171,plain,
( ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f170]) ).
thf(f170,plain,
( ( ( ( ( sK6 @ sK10 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f155]) ).
thf(f155,plain,
( ( ( $true
=> ( ( ( sK6 @ sK10 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK6 @ sK10 @ Y0 @ Y2 )
& ( sK6 @ sK10 @ Y2 @ Y1 ) )
=> ( sK6 @ sK10 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f54,f150]) ).
thf(f150,plain,
( ( ( sK2 @ sK10 @ sK10 )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f148]) ).
thf(f148,plain,
( ( ( $true
=> ( sK2 @ sK10 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f112,f113]) ).
thf(f113,plain,
( ( ( sK2 @ sK9 @ sK10 )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f109]) ).
thf(f109,plain,
( ( ( $true
=> ( sK2 @ sK9 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f59,f101]) ).
thf(f112,plain,
( ! [X0: a] :
( ( ( sK2 @ sK9 @ X0 )
=> ( sK2 @ sK10 @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f107]) ).
thf(f107,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ sK9 @ X0 )
& $true )
=> ( sK2 @ sK10 @ X0 ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f80,f101]) ).
thf(f494,plain,
( ( ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f493]) ).
thf(f493,plain,
( ( ( ( ( sK6 @ sK9 )
= ( sK6 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f115,f488]) ).
thf(f2842,plain,
( ( ( sK6 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f2838]) ).
thf(f2838,plain,
( ( ( $true
=> ( sK6 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f2824,f138]) ).
thf(f138,plain,
( ( ( sK6 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ sK10 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f136]) ).
thf(f136,plain,
( ( ( $true
=> ( sK6 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ sK10 ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f133,f113]) ).
thf(f133,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK6 @ X1 @ ( sK7 @ X1 ) @ ( sK8 @ X2 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f132]) ).
thf(f132,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK7 @ X1 ) @ ( sK8 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f119]) ).
thf(f119,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK6 @ X1 @ ( sK7 @ X1 ) @ ( sK8 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f118]) ).
thf(f118,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f85]) ).
thf(f85,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f2824,plain,
( ! [X2: b,X1: b] :
( ( ( sK6 @ sK9 @ X1 @ X2 )
=> ( sK6 @ sK9 @ X2 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2823,f656]) ).
thf(f2823,plain,
( ! [X2: b,X1: b] :
( ( ( sK6 @ sK9 @ X1 @ X2 )
=> ( sK6 @ sK10 @ X2 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2822,f656]) ).
thf(f2822,plain,
( ! [X2: b,X1: b] :
( ( ( sK6 @ sK10 @ X1 @ X2 )
=> ( sK6 @ sK10 @ X2 @ X1 ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f2821]) ).
thf(f2821,plain,
( ! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( ( sK6 @ sK10 @ X1 @ Y0 )
=> ( sK6 @ sK10 @ Y0 @ X1 ) )
@ X2 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f2807]) ).
thf(f2807,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( sK6 @ sK10 @ X1 @ Y0 )
=> ( sK6 @ sK10 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f2800]) ).
thf(f2800,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK6 @ sK10 @ Y0 @ Y1 )
=> ( sK6 @ sK10 @ Y1 @ Y0 ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f495]) ).
thf(f72,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f65,f70,f67]) ).
thf(f65,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ 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 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f62]) ).
thf(f62,plain,
( $false
= ( $true
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK6 @ Y4 @ ( Y0 @ Y4 ) @ ( Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK6 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ 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 @ Y2 @ Y3 )
=> ( sK6 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK6 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f32,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV041^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 18:55:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.38 % (15045)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)
% 0.13/0.38 % (15043)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (15046)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (15047)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)
% 0.13/0.38 % (15048)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)
% 0.13/0.38 % (15044)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)
% 0.13/0.38 % (15046)Instruction limit reached!
% 0.13/0.38 % (15046)------------------------------
% 0.13/0.38 % (15046)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (15046)Termination reason: Unknown
% 0.13/0.38 % (15046)Termination phase: Property scanning
% 0.13/0.38
% 0.13/0.38 % (15046)Memory used [KB]: 1023
% 0.13/0.38 % (15046)Time elapsed: 0.004 s
% 0.13/0.38 % (15046)Instructions burned: 2 (million)
% 0.13/0.38 % (15046)------------------------------
% 0.13/0.38 % (15046)------------------------------
% 0.13/0.38 % (15047)Instruction limit reached!
% 0.13/0.38 % (15047)------------------------------
% 0.13/0.38 % (15047)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (15047)Termination reason: Unknown
% 0.13/0.38 % (15047)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (15047)Memory used [KB]: 1023
% 0.13/0.38 % (15047)Time elapsed: 0.004 s
% 0.13/0.38 % (15047)Instructions burned: 3 (million)
% 0.13/0.38 % (15047)------------------------------
% 0.13/0.38 % (15047)------------------------------
% 0.13/0.38 % (15044)Instruction limit reached!
% 0.13/0.38 % (15044)------------------------------
% 0.13/0.38 % (15044)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (15044)Termination reason: Unknown
% 0.13/0.38 % (15044)Termination phase: Preprocessing 3
% 0.13/0.38
% 0.13/0.38 % (15044)Memory used [KB]: 1023
% 0.13/0.38 % (15044)Time elapsed: 0.005 s
% 0.13/0.38 % (15044)Instructions burned: 4 (million)
% 0.13/0.38 % (15044)------------------------------
% 0.13/0.38 % (15044)------------------------------
% 0.13/0.39 % (15049)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.40 % (15045)Instruction limit reached!
% 0.21/0.40 % (15045)------------------------------
% 0.21/0.40 % (15045)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (15045)Termination reason: Unknown
% 0.21/0.40 % (15045)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (15045)Memory used [KB]: 5884
% 0.21/0.40 % (15045)Time elapsed: 0.019 s
% 0.21/0.40 % (15045)Instructions burned: 27 (million)
% 0.21/0.40 % (15045)------------------------------
% 0.21/0.40 % (15045)------------------------------
% 0.21/0.40 % (15055)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)
% 0.21/0.40 % (15054)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)
% 0.21/0.40 % (15056)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)
% 0.21/0.40 % (15049)Instruction limit reached!
% 0.21/0.40 % (15049)------------------------------
% 0.21/0.40 % (15049)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (15049)Termination reason: Unknown
% 0.21/0.40 % (15049)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (15049)Memory used [KB]: 5756
% 0.21/0.40 % (15049)Time elapsed: 0.016 s
% 0.21/0.40 % (15049)Instructions burned: 18 (million)
% 0.21/0.40 % (15049)------------------------------
% 0.21/0.40 % (15049)------------------------------
% 0.21/0.40 % (15054)Instruction limit reached!
% 0.21/0.40 % (15054)------------------------------
% 0.21/0.40 % (15054)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (15054)Termination reason: Unknown
% 0.21/0.40 % (15054)Termination phase: Preprocessing 2
% 0.21/0.40
% 0.21/0.40 % (15054)Memory used [KB]: 1023
% 0.21/0.40 % (15054)Time elapsed: 0.004 s
% 0.21/0.40 % (15054)Instructions burned: 3 (million)
% 0.21/0.40 % (15054)------------------------------
% 0.21/0.40 % (15054)------------------------------
% 0.21/0.41 % (15056)Instruction limit reached!
% 0.21/0.41 % (15056)------------------------------
% 0.21/0.41 % (15056)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (15056)Termination reason: Unknown
% 0.21/0.41 % (15056)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (15056)Memory used [KB]: 5756
% 0.21/0.41 % (15056)Time elapsed: 0.012 s
% 0.21/0.41 % (15056)Instructions burned: 15 (million)
% 0.21/0.41 % (15056)------------------------------
% 0.21/0.41 % (15056)------------------------------
% 0.21/0.41 % (15063)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)
% 0.21/0.41 % (15063)Instruction limit reached!
% 0.21/0.41 % (15063)------------------------------
% 0.21/0.41 % (15063)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (15063)Termination reason: Unknown
% 0.21/0.41 % (15063)Termination phase: Preprocessing 3
% 0.21/0.41
% 0.21/0.41 % (15063)Memory used [KB]: 1023
% 0.21/0.41 % (15063)Time elapsed: 0.004 s
% 0.21/0.41 % (15063)Instructions burned: 4 (million)
% 0.21/0.41 % (15063)------------------------------
% 0.21/0.41 % (15063)------------------------------
% 0.21/0.42 % (15065)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (15064)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 % (15055)Instruction limit reached!
% 0.21/0.42 % (15055)------------------------------
% 0.21/0.42 % (15055)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (15055)Termination reason: Unknown
% 0.21/0.42 % (15055)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (15055)Memory used [KB]: 5628
% 0.21/0.42 % (15055)Time elapsed: 0.023 s
% 0.21/0.42 % (15055)Instructions burned: 37 (million)
% 0.21/0.42 % (15055)------------------------------
% 0.21/0.42 % (15055)------------------------------
% 0.21/0.42 % (15065)Instruction limit reached!
% 0.21/0.42 % (15065)------------------------------
% 0.21/0.42 % (15065)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (15065)Termination reason: Unknown
% 0.21/0.42 % (15065)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (15065)Memory used [KB]: 1023
% 0.21/0.42 % (15065)Time elapsed: 0.006 s
% 0.21/0.42 % (15065)Instructions burned: 7 (million)
% 0.21/0.42 % (15065)------------------------------
% 0.21/0.42 % (15065)------------------------------
% 0.21/0.43 % (15068)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (15071)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 % (15071)Instruction limit reached!
% 0.21/0.43 % (15071)------------------------------
% 0.21/0.43 % (15071)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (15071)Termination reason: Unknown
% 0.21/0.43 % (15071)Termination phase: Preprocessing 3
% 0.21/0.43
% 0.21/0.43 % (15071)Memory used [KB]: 1023
% 0.21/0.43 % (15071)Time elapsed: 0.004 s
% 0.21/0.43 % (15071)Instructions burned: 4 (million)
% 0.21/0.43 % (15071)------------------------------
% 0.21/0.43 % (15071)------------------------------
% 0.21/0.43 % (15075)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)
% 0.21/0.44 % (15076)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)
% 0.21/0.44 % (15075)Instruction limit reached!
% 0.21/0.44 % (15075)------------------------------
% 0.21/0.44 % (15075)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (15075)Termination reason: Unknown
% 0.21/0.44 % (15075)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (15075)Memory used [KB]: 1023
% 0.21/0.44 % (15075)Time elapsed: 0.004 s
% 0.21/0.44 % (15075)Instructions burned: 3 (million)
% 0.21/0.44 % (15075)------------------------------
% 0.21/0.44 % (15075)------------------------------
% 0.21/0.44 % (15076)Instruction limit reached!
% 0.21/0.44 % (15076)------------------------------
% 0.21/0.44 % (15076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (15076)Termination reason: Unknown
% 0.21/0.44 % (15076)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (15076)Memory used [KB]: 1023
% 0.21/0.44 % (15076)Time elapsed: 0.006 s
% 0.21/0.44 % (15076)Instructions burned: 7 (million)
% 0.21/0.44 % (15076)------------------------------
% 0.21/0.44 % (15076)------------------------------
% 0.21/0.44 % (15068)Instruction limit reached!
% 0.21/0.44 % (15068)------------------------------
% 0.21/0.44 % (15068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (15068)Termination reason: Unknown
% 0.21/0.44 % (15068)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (15068)Memory used [KB]: 5756
% 0.21/0.44 % (15068)Time elapsed: 0.017 s
% 0.21/0.44 % (15068)Instructions burned: 16 (million)
% 0.21/0.44 % (15068)------------------------------
% 0.21/0.44 % (15068)------------------------------
% 0.21/0.44 % (15078)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 % (15078)Instruction limit reached!
% 0.21/0.45 % (15078)------------------------------
% 0.21/0.45 % (15078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (15078)Termination reason: Unknown
% 0.21/0.45 % (15078)Termination phase: Preprocessing 3
% 0.21/0.45
% 0.21/0.45 % (15078)Memory used [KB]: 1023
% 0.21/0.45 % (15078)Time elapsed: 0.004 s
% 0.21/0.45 % (15078)Instructions burned: 4 (million)
% 0.21/0.45 % (15078)------------------------------
% 0.21/0.45 % (15078)------------------------------
% 0.21/0.45 % (15082)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 % (15082)Instruction limit reached!
% 0.21/0.45 % (15082)------------------------------
% 0.21/0.45 % (15082)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (15082)Termination reason: Unknown
% 0.21/0.45 % (15082)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (15082)Memory used [KB]: 1023
% 0.21/0.45 % (15082)Time elapsed: 0.005 s
% 0.21/0.45 % (15082)Instructions burned: 5 (million)
% 0.21/0.45 % (15082)------------------------------
% 0.21/0.45 % (15082)------------------------------
% 0.21/0.46 % (15083)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)
% 0.21/0.46 % (15084)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 % (15087)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (15087)Instruction limit reached!
% 0.21/0.47 % (15087)------------------------------
% 0.21/0.47 % (15087)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (15087)Termination reason: Unknown
% 0.21/0.47 % (15087)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (15087)Memory used [KB]: 1023
% 0.21/0.47 % (15087)Time elapsed: 0.006 s
% 0.21/0.47 % (15087)Instructions burned: 6 (million)
% 0.21/0.47 % (15087)------------------------------
% 0.21/0.47 % (15087)------------------------------
% 0.21/0.47 % (15083)Instruction limit reached!
% 0.21/0.47 % (15083)------------------------------
% 0.21/0.47 % (15083)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (15083)Termination reason: Unknown
% 0.21/0.47 % (15083)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (15083)Memory used [KB]: 5628
% 0.21/0.47 % (15083)Time elapsed: 0.014 s
% 0.21/0.47 % (15083)Instructions burned: 18 (million)
% 0.21/0.47 % (15083)------------------------------
% 0.21/0.47 % (15083)------------------------------
% 0.21/0.47 % (15090)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)
% 0.21/0.48 % (15093)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)
% 0.21/0.48 % (15094)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48 % (15043)Instruction limit reached!
% 0.21/0.48 % (15043)------------------------------
% 0.21/0.48 % (15043)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (15043)Termination reason: Unknown
% 0.21/0.48 % (15043)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (15043)Memory used [KB]: 5884
% 0.21/0.48 % (15043)Time elapsed: 0.103 s
% 0.21/0.48 % (15043)Instructions burned: 183 (million)
% 0.21/0.48 % (15043)------------------------------
% 0.21/0.48 % (15043)------------------------------
% 0.21/0.48 % (15094)Instruction limit reached!
% 0.21/0.48 % (15094)------------------------------
% 0.21/0.48 % (15094)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (15094)Termination reason: Unknown
% 0.21/0.48 % (15094)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (15094)Memory used [KB]: 5500
% 0.21/0.48 % (15094)Time elapsed: 0.004 s
% 0.21/0.48 % (15094)Instructions burned: 6 (million)
% 0.21/0.48 % (15094)------------------------------
% 0.21/0.48 % (15094)------------------------------
% 0.21/0.49 % (15093)Instruction limit reached!
% 0.21/0.49 % (15093)------------------------------
% 0.21/0.49 % (15093)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (15093)Termination reason: Unknown
% 0.21/0.49 % (15093)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (15093)Memory used [KB]: 5756
% 0.21/0.49 % (15093)Time elapsed: 0.012 s
% 0.21/0.49 % (15093)Instructions burned: 22 (million)
% 0.21/0.49 % (15093)------------------------------
% 0.21/0.49 % (15093)------------------------------
% 0.21/0.49 % (15096)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49 % (15095)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 (2998ds/6Mi)
% 0.21/0.49 % (15095)Instruction limit reached!
% 0.21/0.49 % (15095)------------------------------
% 0.21/0.49 % (15095)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (15095)Termination reason: Unknown
% 0.21/0.49 % (15095)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (15095)Memory used [KB]: 5500
% 0.21/0.49 % (15095)Time elapsed: 0.003 s
% 0.21/0.49 % (15095)Instructions burned: 6 (million)
% 0.21/0.49 % (15095)------------------------------
% 0.21/0.49 % (15095)------------------------------
% 0.21/0.50 % (15097)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 % (15098)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 % (15048)Instruction limit reached!
% 0.21/0.51 % (15048)------------------------------
% 0.21/0.51 % (15048)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (15048)Termination reason: Unknown
% 0.21/0.51 % (15048)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (15048)Memory used [KB]: 5884
% 0.21/0.51 % (15048)Time elapsed: 0.129 s
% 0.21/0.51 % (15048)Instructions burned: 277 (million)
% 0.21/0.51 % (15048)------------------------------
% 0.21/0.51 % (15048)------------------------------
% 0.21/0.51 % (15098)Instruction limit reached!
% 0.21/0.51 % (15098)------------------------------
% 0.21/0.51 % (15098)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (15098)Termination reason: Unknown
% 0.21/0.51 % (15098)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (15098)Memory used [KB]: 5628
% 0.21/0.51 % (15098)Time elapsed: 0.008 s
% 0.21/0.51 % (15098)Instructions burned: 20 (million)
% 0.21/0.51 % (15098)------------------------------
% 0.21/0.51 % (15098)------------------------------
% 0.21/0.52 % (15099)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)
% 0.21/0.52 % (15100)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.23/0.53 % (15100)Instruction limit reached!
% 1.23/0.53 % (15100)------------------------------
% 1.23/0.53 % (15100)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.23/0.53 % (15100)Termination reason: Unknown
% 1.23/0.53 % (15100)Termination phase: Saturation
% 1.23/0.53
% 1.23/0.53 % (15100)Memory used [KB]: 5756
% 1.23/0.53 % (15100)Time elapsed: 0.031 s
% 1.23/0.53 % (15100)Instructions burned: 19 (million)
% 1.23/0.53 % (15100)------------------------------
% 1.23/0.53 % (15100)------------------------------
% 1.23/0.53 % (15101)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.23/0.54 % (15101)Instruction limit reached!
% 1.23/0.54 % (15101)------------------------------
% 1.23/0.54 % (15101)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.23/0.54 % (15101)Termination reason: Unknown
% 1.23/0.54 % (15101)Termination phase: Preprocessing 3
% 1.23/0.54
% 1.23/0.54 % (15101)Memory used [KB]: 1023
% 1.23/0.54 % (15101)Time elapsed: 0.003 s
% 1.23/0.54 % (15101)Instructions burned: 4 (million)
% 1.23/0.54 % (15101)------------------------------
% 1.23/0.54 % (15101)------------------------------
% 1.35/0.55 % (15102)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.35/0.55 % (15102)Refutation not found, incomplete strategy
% 1.35/0.55 % (15102)------------------------------
% 1.35/0.55 % (15102)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.35/0.55 % (15102)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.55
% 1.35/0.55
% 1.35/0.55 % (15102)Memory used [KB]: 5756
% 1.35/0.55 % (15102)Time elapsed: 0.007 s
% 1.35/0.55 % (15102)Instructions burned: 15 (million)
% 1.35/0.55 % (15102)------------------------------
% 1.35/0.55 % (15102)------------------------------
% 1.35/0.56 % (15103)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)
% 1.35/0.61 % (15103)Instruction limit reached!
% 1.35/0.61 % (15103)------------------------------
% 1.35/0.61 % (15103)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.35/0.61 % (15103)Termination reason: Unknown
% 1.35/0.61 % (15103)Termination phase: Saturation
% 1.35/0.61
% 1.35/0.61 % (15103)Memory used [KB]: 5884
% 1.35/0.61 % (15103)Time elapsed: 0.069 s
% 1.35/0.61 % (15103)Instructions burned: 128 (million)
% 1.35/0.61 % (15103)------------------------------
% 1.35/0.61 % (15103)------------------------------
% 1.35/0.61 % (15096)Instruction limit reached!
% 1.35/0.61 % (15096)------------------------------
% 1.35/0.61 % (15096)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.35/0.61 % (15096)Termination reason: Unknown
% 1.35/0.61 % (15096)Termination phase: Saturation
% 1.35/0.61
% 1.35/0.61 % (15096)Memory used [KB]: 5884
% 1.35/0.61 % (15096)Time elapsed: 0.116 s
% 1.35/0.61 % (15096)Instructions burned: 379 (million)
% 1.35/0.61 % (15096)------------------------------
% 1.35/0.61 % (15096)------------------------------
% 1.35/0.62 % (15104)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 (2997ds/100Mi)
% 1.35/0.62 % (15105)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)
% 1.35/0.62 % (15105)Instruction limit reached!
% 1.35/0.62 % (15105)------------------------------
% 1.35/0.62 % (15105)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.35/0.62 % (15105)Termination reason: Unknown
% 1.35/0.62 % (15105)Termination phase: Property scanning
% 1.35/0.62
% 1.35/0.62 % (15105)Memory used [KB]: 1023
% 1.35/0.62 % (15105)Time elapsed: 0.003 s
% 1.35/0.62 % (15105)Instructions burned: 5 (million)
% 1.35/0.62 % (15105)------------------------------
% 1.35/0.62 % (15105)------------------------------
% 1.35/0.63 % (15106)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)
% 1.88/0.63 % (15106)Instruction limit reached!
% 1.88/0.63 % (15106)------------------------------
% 1.88/0.63 % (15106)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.88/0.63 % (15106)Termination reason: Unknown
% 1.88/0.63 % (15106)Termination phase: Saturation
% 1.88/0.63
% 1.88/0.63 % (15106)Memory used [KB]: 5756
% 1.88/0.63 % (15106)Time elapsed: 0.034 s
% 1.88/0.63 % (15106)Instructions burned: 22 (million)
% 1.88/0.63 % (15106)------------------------------
% 1.88/0.63 % (15106)------------------------------
% 1.88/0.64 % (15113)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)
% 1.88/0.65 % (15104)Instruction limit reached!
% 1.88/0.65 % (15104)------------------------------
% 1.88/0.65 % (15104)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.88/0.65 % (15104)Termination reason: Unknown
% 1.88/0.65 % (15104)Termination phase: Saturation
% 1.88/0.65
% 1.88/0.65 % (15104)Memory used [KB]: 5884
% 1.88/0.65 % (15104)Time elapsed: 0.057 s
% 1.88/0.65 % (15104)Instructions burned: 102 (million)
% 1.88/0.65 % (15104)------------------------------
% 1.88/0.65 % (15104)------------------------------
% 1.88/0.66 % (15114)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)
% 1.88/0.67 % (15113)Instruction limit reached!
% 1.88/0.67 % (15113)------------------------------
% 1.88/0.67 % (15113)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.88/0.67 % (15113)Termination reason: Unknown
% 1.88/0.67 % (15113)Termination phase: Saturation
% 1.88/0.67
% 1.88/0.67 % (15113)Memory used [KB]: 6012
% 1.88/0.67 % (15113)Time elapsed: 0.031 s
% 1.88/0.67 % (15113)Instructions burned: 88 (million)
% 1.88/0.67 % (15113)------------------------------
% 1.88/0.67 % (15113)------------------------------
% 1.88/0.68 % (15115)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 (2996ds/39Mi)
% 2.22/0.69 % (15115)Instruction limit reached!
% 2.22/0.69 % (15115)------------------------------
% 2.22/0.69 % (15115)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.69 % (15115)Termination reason: Unknown
% 2.22/0.69 % (15115)Termination phase: Saturation
% 2.22/0.69
% 2.22/0.69 % (15115)Memory used [KB]: 5756
% 2.22/0.69 % (15115)Time elapsed: 0.015 s
% 2.22/0.69 % (15115)Instructions burned: 40 (million)
% 2.22/0.69 % (15115)------------------------------
% 2.22/0.69 % (15115)------------------------------
% 2.22/0.70 % (15114)Instruction limit reached!
% 2.22/0.70 % (15114)------------------------------
% 2.22/0.70 % (15114)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.70 % (15114)Termination reason: Unknown
% 2.22/0.70 % (15114)Termination phase: Saturation
% 2.22/0.70
% 2.22/0.70 % (15114)Memory used [KB]: 6140
% 2.22/0.70 % (15114)Time elapsed: 0.040 s
% 2.22/0.70 % (15114)Instructions burned: 107 (million)
% 2.22/0.70 % (15114)------------------------------
% 2.22/0.70 % (15114)------------------------------
% 2.22/0.71 % (15119)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)
% 2.22/0.71 % (15117)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 (2996ds/448Mi)
% 2.22/0.72 % (15119)Instruction limit reached!
% 2.22/0.72 % (15119)------------------------------
% 2.22/0.72 % (15119)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.72 % (15119)Termination reason: Unknown
% 2.22/0.72 % (15119)Termination phase: Saturation
% 2.22/0.72
% 2.22/0.72 % (15119)Memory used [KB]: 5884
% 2.22/0.72 % (15119)Time elapsed: 0.019 s
% 2.22/0.72 % (15119)Instructions burned: 46 (million)
% 2.22/0.72 % (15119)------------------------------
% 2.22/0.72 % (15119)------------------------------
% 2.22/0.73 % (15084)Instruction limit reached!
% 2.22/0.73 % (15084)------------------------------
% 2.22/0.73 % (15084)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.73 % (15084)Termination reason: Unknown
% 2.22/0.73 % (15084)Termination phase: Saturation
% 2.22/0.73
% 2.22/0.73 % (15084)Memory used [KB]: 7419
% 2.22/0.73 % (15084)Time elapsed: 0.275 s
% 2.22/0.73 % (15084)Instructions burned: 712 (million)
% 2.22/0.73 % (15084)------------------------------
% 2.22/0.73 % (15084)------------------------------
% 2.22/0.73 % (15131)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)
% 2.22/0.74 % (15135)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)
% 2.22/0.74 % (15097)Instruction limit reached!
% 2.22/0.74 % (15097)------------------------------
% 2.22/0.74 % (15097)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.22/0.74 % (15097)Termination reason: Unknown
% 2.22/0.74 % (15097)Termination phase: Saturation
% 2.22/0.74
% 2.22/0.74 % (15097)Memory used [KB]: 6268
% 2.22/0.74 % (15097)Time elapsed: 0.266 s
% 2.22/0.74 % (15097)Instructions burned: 781 (million)
% 2.22/0.74 % (15097)------------------------------
% 2.22/0.74 % (15097)------------------------------
% 2.22/0.75 % (15142)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)
% 2.56/0.76 % (15131)Instruction limit reached!
% 2.56/0.76 % (15131)------------------------------
% 2.56/0.76 % (15131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.56/0.76 % (15131)Termination reason: Unknown
% 2.56/0.76 % (15131)Termination phase: Saturation
% 2.56/0.76
% 2.56/0.76 % (15131)Memory used [KB]: 1279
% 2.56/0.76 % (15131)Time elapsed: 0.034 s
% 2.56/0.76 % (15131)Instructions burned: 99 (million)
% 2.56/0.76 % (15131)------------------------------
% 2.56/0.76 % (15131)------------------------------
% 2.56/0.77 % (15152)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 2.56/0.78 % (15090)Instruction limit reached!
% 2.56/0.78 % (15090)------------------------------
% 2.56/0.78 % (15090)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.56/0.78 % (15090)Termination reason: Unknown
% 2.56/0.78 % (15090)Termination phase: Saturation
% 2.56/0.78
% 2.56/0.78 % (15090)Memory used [KB]: 7036
% 2.56/0.78 % (15090)Time elapsed: 0.307 s
% 2.56/0.78 % (15090)Instructions burned: 904 (million)
% 2.56/0.78 % (15090)------------------------------
% 2.56/0.78 % (15090)------------------------------
% 2.56/0.78 % (15159)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)
% 2.56/0.79 % (15159)Instruction limit reached!
% 2.56/0.79 % (15159)------------------------------
% 2.56/0.79 % (15159)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.56/0.79 % (15159)Termination reason: Unknown
% 2.56/0.79 % (15159)Termination phase: Saturation
% 2.56/0.79
% 2.56/0.79 % (15159)Memory used [KB]: 9978
% 2.56/0.79 % (15159)Time elapsed: 0.004 s
% 2.56/0.79 % (15159)Instructions burned: 6 (million)
% 2.56/0.79 % (15159)------------------------------
% 2.56/0.79 % (15159)------------------------------
% 2.56/0.79 % (15152)Instruction limit reached!
% 2.56/0.79 % (15152)------------------------------
% 2.56/0.79 % (15152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.56/0.79 % (15152)Termination reason: Unknown
% 2.56/0.79 % (15152)Termination phase: Saturation
% 2.56/0.79
% 2.56/0.79 % (15152)Memory used [KB]: 5756
% 2.56/0.79 % (15152)Time elapsed: 0.016 s
% 2.56/0.79 % (15152)Instructions burned: 40 (million)
% 2.56/0.79 % (15152)------------------------------
% 2.56/0.79 % (15152)------------------------------
% 2.56/0.80 % (15163)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)
% 2.56/0.80 % (15164)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 2.69/0.81 % (15142)Instruction limit reached!
% 2.69/0.81 % (15142)------------------------------
% 2.69/0.81 % (15142)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.69/0.81 % (15142)Termination reason: Unknown
% 2.69/0.81 % (15142)Termination phase: Saturation
% 2.69/0.81
% 2.69/0.81 % (15142)Memory used [KB]: 6012
% 2.69/0.81 % (15142)Time elapsed: 0.058 s
% 2.69/0.81 % (15142)Instructions burned: 149 (million)
% 2.69/0.81 % (15142)------------------------------
% 2.69/0.81 % (15142)------------------------------
% 2.69/0.81 % (15164)Instruction limit reached!
% 2.69/0.81 % (15164)------------------------------
% 2.69/0.81 % (15164)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.69/0.81 % (15164)Termination reason: Unknown
% 2.69/0.81 % (15164)Termination phase: Saturation
% 2.69/0.81
% 2.69/0.81 % (15164)Memory used [KB]: 6012
% 2.69/0.81 % (15164)Time elapsed: 0.019 s
% 2.69/0.81 % (15164)Instructions burned: 49 (million)
% 2.69/0.81 % (15164)------------------------------
% 2.69/0.81 % (15164)------------------------------
% 2.69/0.82 % (15174)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)
% 2.69/0.82 % (15178)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 (2995ds/432Mi)
% 2.69/0.83 % (15064)Instruction limit reached!
% 2.69/0.83 % (15064)------------------------------
% 2.69/0.83 % (15064)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.69/0.83 % (15064)Termination reason: Unknown
% 2.69/0.83 % (15064)Termination phase: Saturation
% 2.69/0.83
% 2.69/0.83 % (15064)Memory used [KB]: 8571
% 2.69/0.83 % (15064)Time elapsed: 0.410 s
% 2.69/0.83 % (15064)Instructions burned: 1041 (million)
% 2.69/0.83 % (15064)------------------------------
% 2.69/0.83 % (15064)------------------------------
% 2.69/0.83 % (15174)Instruction limit reached!
% 2.69/0.83 % (15174)------------------------------
% 2.69/0.83 % (15174)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.69/0.83 % (15174)Termination reason: Unknown
% 2.69/0.83 % (15174)Termination phase: Saturation
% 2.69/0.83
% 2.69/0.83 % (15174)Memory used [KB]: 1279
% 2.69/0.83 % (15174)Time elapsed: 0.014 s
% 2.69/0.83 % (15174)Instructions burned: 44 (million)
% 2.69/0.83 % (15174)------------------------------
% 2.69/0.83 % (15174)------------------------------
% 2.69/0.83 % (15183)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.69/0.84 % (15185)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 (2995ds/31Mi)
% 2.84/0.85 % (15185)Instruction limit reached!
% 2.84/0.85 % (15185)------------------------------
% 2.84/0.85 % (15185)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.85 % (15185)Termination reason: Unknown
% 2.84/0.85 % (15185)Termination phase: Saturation
% 2.84/0.85
% 2.84/0.85 % (15185)Memory used [KB]: 5756
% 2.84/0.85 % (15185)Time elapsed: 0.013 s
% 2.84/0.85 % (15185)Instructions burned: 33 (million)
% 2.84/0.85 % (15185)------------------------------
% 2.84/0.85 % (15185)------------------------------
% 2.84/0.85 % (15183)Instruction limit reached!
% 2.84/0.85 % (15183)------------------------------
% 2.84/0.85 % (15183)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.85 % (15183)Termination reason: Unknown
% 2.84/0.85 % (15183)Termination phase: Saturation
% 2.84/0.85
% 2.84/0.85 % (15183)Memory used [KB]: 5756
% 2.84/0.85 % (15183)Time elapsed: 0.020 s
% 2.84/0.85 % (15183)Instructions burned: 63 (million)
% 2.84/0.85 % (15183)------------------------------
% 2.84/0.85 % (15183)------------------------------
% 2.84/0.85 % (15099)Refutation not found, non-redundant clauses discarded% (15099)------------------------------
% 2.84/0.85 % (15099)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.85 % (15099)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.84/0.85
% 2.84/0.85 % (15099)Memory used [KB]: 8187
% 2.84/0.85 % (15099)Time elapsed: 0.360 s
% 2.84/0.85 % (15099)Instructions burned: 877 (million)
% 2.84/0.85 % (15099)------------------------------
% 2.84/0.85 % (15099)------------------------------
% 2.84/0.86 % (15194)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.84/0.86 % (15199)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 (2995ds/453Mi)
% 2.84/0.86 % (15203)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 (2995ds/71Mi)
% 2.84/0.88 % (15117)Instruction limit reached!
% 2.84/0.88 % (15117)------------------------------
% 2.84/0.88 % (15117)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.88 % (15117)Termination reason: Unknown
% 2.84/0.88 % (15117)Termination phase: Saturation
% 2.84/0.88
% 2.84/0.88 % (15117)Memory used [KB]: 6140
% 2.84/0.88 % (15117)Time elapsed: 0.173 s
% 2.84/0.88 % (15117)Instructions burned: 451 (million)
% 2.84/0.88 % (15117)------------------------------
% 2.84/0.88 % (15117)------------------------------
% 2.84/0.89 % (15203)Instruction limit reached!
% 2.84/0.89 % (15203)------------------------------
% 2.84/0.89 % (15203)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.89 % (15203)Termination reason: Unknown
% 2.84/0.89 % (15203)Termination phase: Saturation
% 2.84/0.89
% 2.84/0.89 % (15203)Memory used [KB]: 5884
% 2.84/0.89 % (15203)Time elapsed: 0.026 s
% 2.84/0.89 % (15203)Instructions burned: 73 (million)
% 2.84/0.89 % (15203)------------------------------
% 2.84/0.89 % (15203)------------------------------
% 2.84/0.89 % (15194)Instruction limit reached!
% 2.84/0.89 % (15194)------------------------------
% 2.84/0.89 % (15194)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.89 % (15194)Termination reason: Unknown
% 2.84/0.89 % (15194)Termination phase: Saturation
% 2.84/0.89
% 2.84/0.89 % (15194)Memory used [KB]: 5884
% 2.84/0.89 % (15194)Time elapsed: 0.033 s
% 2.84/0.89 % (15194)Instructions burned: 97 (million)
% 2.84/0.89 % (15194)------------------------------
% 2.84/0.89 % (15194)------------------------------
% 2.84/0.89 % (15220)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 2.84/0.90 % (15227)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 2.84/0.90 % (15135)Instruction limit reached!
% 2.84/0.90 % (15135)------------------------------
% 2.84/0.90 % (15135)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.90 % (15135)Termination reason: Unknown
% 2.84/0.90 % (15135)Termination phase: Saturation
% 2.84/0.90
% 2.84/0.90 % (15135)Memory used [KB]: 5884
% 2.84/0.90 % (15135)Time elapsed: 0.160 s
% 2.84/0.90 % (15135)Instructions burned: 509 (million)
% 2.84/0.90 % (15135)------------------------------
% 2.84/0.90 % (15135)------------------------------
% 2.84/0.90 % (15230)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 (2994ds/41Mi)
% 2.84/0.90 % (15227)Instruction limit reached!
% 2.84/0.90 % (15227)------------------------------
% 2.84/0.90 % (15227)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.90 % (15227)Termination reason: Unknown
% 2.84/0.90 % (15227)Termination phase: Saturation
% 2.84/0.90
% 2.84/0.90 % (15227)Memory used [KB]: 5500
% 2.84/0.90 % (15227)Time elapsed: 0.005 s
% 2.84/0.90 % (15227)Instructions burned: 14 (million)
% 2.84/0.90 % (15227)------------------------------
% 2.84/0.90 % (15227)------------------------------
% 2.84/0.91 % (15234)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 2.84/0.91 % (15234)Instruction limit reached!
% 2.84/0.91 % (15234)------------------------------
% 2.84/0.91 % (15234)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.91 % (15234)Termination reason: Unknown
% 2.84/0.91 % (15234)Termination phase: Property scanning
% 2.84/0.91
% 2.84/0.91 % (15234)Memory used [KB]: 1023
% 2.84/0.91 % (15234)Time elapsed: 0.003 s
% 2.84/0.91 % (15234)Instructions burned: 7 (million)
% 2.84/0.91 % (15234)------------------------------
% 2.84/0.91 % (15234)------------------------------
% 2.84/0.91 % (15237)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 2.84/0.91 % (15230)Instruction limit reached!
% 2.84/0.91 % (15230)------------------------------
% 2.84/0.91 % (15230)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.91 % (15230)Termination reason: Unknown
% 2.84/0.91 % (15230)Termination phase: Saturation
% 2.84/0.91
% 2.84/0.91 % (15230)Memory used [KB]: 5628
% 2.84/0.91 % (15230)Time elapsed: 0.013 s
% 2.84/0.91 % (15230)Instructions burned: 41 (million)
% 2.84/0.91 % (15230)------------------------------
% 2.84/0.91 % (15230)------------------------------
% 2.84/0.91 % (15237)Refutation not found, incomplete strategy
% 2.84/0.91 % (15237)------------------------------
% 2.84/0.91 % (15237)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.91 % (15237)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.91
% 2.84/0.91
% 2.84/0.91 % (15237)Memory used [KB]: 5628
% 2.84/0.91 % (15237)Time elapsed: 0.006 s
% 2.84/0.91 % (15237)Instructions burned: 13 (million)
% 2.84/0.91 % (15237)------------------------------
% 2.84/0.91 % (15237)------------------------------
% 2.84/0.92 % (15243)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 (2994ds/343Mi)
% 2.84/0.92 % (15247)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 (2994ds/109Mi)
% 2.84/0.92 % (15220)Instruction limit reached!
% 2.84/0.92 % (15220)------------------------------
% 2.84/0.92 % (15220)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.84/0.92 % (15220)Termination reason: Unknown
% 2.84/0.92 % (15220)Termination phase: Saturation
% 2.84/0.92
% 2.84/0.92 % (15220)Memory used [KB]: 5756
% 2.84/0.92 % (15220)Time elapsed: 0.031 s
% 2.84/0.92 % (15220)Instructions burned: 85 (million)
% 2.84/0.92 % (15220)------------------------------
% 2.84/0.92 % (15220)------------------------------
% 2.84/0.92 % (15251)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 (2994ds/253Mi)
% 2.84/0.93 % (15256)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.76/0.93 % (15256)Refutation not found, incomplete strategy
% 3.76/0.93 % (15256)------------------------------
% 3.76/0.93 % (15256)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.76/0.93 % (15256)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.93
% 3.76/0.93
% 3.76/0.93 % (15256)Memory used [KB]: 5756
% 3.76/0.93 % (15256)Time elapsed: 0.007 s
% 3.76/0.93 % (15256)Instructions burned: 14 (million)
% 3.76/0.93 % (15256)------------------------------
% 3.76/0.93 % (15256)------------------------------
% 3.76/0.94 % (15262)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 (2994ds/614Mi)
% 3.76/0.95 % (15247)Instruction limit reached!
% 3.76/0.95 % (15247)------------------------------
% 3.76/0.95 % (15247)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.76/0.95 % (15247)Termination reason: Unknown
% 3.76/0.95 % (15247)Termination phase: Saturation
% 3.76/0.95
% 3.76/0.95 % (15247)Memory used [KB]: 6012
% 3.76/0.95 % (15247)Time elapsed: 0.032 s
% 3.76/0.95 % (15247)Instructions burned: 109 (million)
% 3.76/0.95 % (15247)------------------------------
% 3.76/0.95 % (15247)------------------------------
% 3.76/0.96 % (15178)Instruction limit reached!
% 3.76/0.96 % (15178)------------------------------
% 3.76/0.96 % (15178)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.76/0.96 % (15178)Termination reason: Unknown
% 3.76/0.96 % (15178)Termination phase: Saturation
% 3.76/0.96
% 3.76/0.96 % (15178)Memory used [KB]: 2174
% 3.76/0.96 % (15178)Time elapsed: 0.135 s
% 3.76/0.96 % (15178)Instructions burned: 434 (million)
% 3.76/0.96 % (15178)------------------------------
% 3.76/0.96 % (15178)------------------------------
% 3.76/0.96 % (15272)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 (2994ds/202Mi)
% 3.76/0.96 % (15199)Refutation not found, non-redundant clauses discarded% (15199)------------------------------
% 3.76/0.96 % (15199)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.76/0.96 % (15199)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.76/0.96
% 3.76/0.96 % (15199)Memory used [KB]: 6012
% 3.76/0.96 % (15199)Time elapsed: 0.103 s
% 3.76/0.96 % (15199)Instructions burned: 347 (million)
% 3.76/0.96 % (15199)------------------------------
% 3.76/0.96 % (15199)------------------------------
% 3.76/0.97 % (15278)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 (2994ds/339Mi)
% 3.76/0.97 % (15281)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 (2994ds/283Mi)
% 4.08/1.01 % (15251)Instruction limit reached!
% 4.08/1.01 % (15251)------------------------------
% 4.08/1.01 % (15251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.08/1.01 % (15251)Termination reason: Unknown
% 4.08/1.01 % (15251)Termination phase: Saturation
% 4.08/1.01
% 4.08/1.01 % (15251)Memory used [KB]: 6268
% 4.08/1.01 % (15251)Time elapsed: 0.086 s
% 4.08/1.01 % (15251)Instructions burned: 255 (million)
% 4.08/1.01 % (15251)------------------------------
% 4.08/1.01 % (15251)------------------------------
% 4.08/1.02 % (15296)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 (2993ds/134Mi)
% 4.08/1.02 % (15272)Instruction limit reached!
% 4.08/1.02 % (15272)------------------------------
% 4.08/1.02 % (15272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.08/1.02 % (15272)Termination reason: Unknown
% 4.08/1.02 % (15272)Termination phase: Saturation
% 4.08/1.02
% 4.08/1.02 % (15272)Memory used [KB]: 6268
% 4.08/1.02 % (15272)Time elapsed: 0.063 s
% 4.08/1.02 % (15272)Instructions burned: 203 (million)
% 4.08/1.02 % (15272)------------------------------
% 4.08/1.02 % (15272)------------------------------
% 4.08/1.03 % (15300)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2993ds/298Mi)
% 4.08/1.04 % (15243)Instruction limit reached!
% 4.08/1.04 % (15243)------------------------------
% 4.08/1.04 % (15243)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.08/1.04 % (15243)Termination reason: Unknown
% 4.08/1.04 % (15243)Termination phase: Saturation
% 4.08/1.04
% 4.08/1.04 % (15243)Memory used [KB]: 6780
% 4.08/1.04 % (15243)Time elapsed: 0.125 s
% 4.08/1.04 % (15243)Instructions burned: 344 (million)
% 4.08/1.04 % (15243)------------------------------
% 4.08/1.04 % (15243)------------------------------
% 4.08/1.05 % (15301)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2993ds/192Mi)
% 4.37/1.06 % (15296)Instruction limit reached!
% 4.37/1.06 % (15296)------------------------------
% 4.37/1.06 % (15296)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.37/1.06 % (15296)Termination reason: Unknown
% 4.37/1.06 % (15296)Termination phase: Saturation
% 4.37/1.06
% 4.37/1.06 % (15296)Memory used [KB]: 6268
% 4.37/1.06 % (15296)Time elapsed: 0.044 s
% 4.37/1.06 % (15296)Instructions burned: 135 (million)
% 4.37/1.06 % (15296)------------------------------
% 4.37/1.06 % (15296)------------------------------
% 4.37/1.07 % (15281)Instruction limit reached!
% 4.37/1.07 % (15281)------------------------------
% 4.37/1.07 % (15281)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.37/1.07 % (15281)Termination reason: Unknown
% 4.37/1.07 % (15281)Termination phase: Saturation
% 4.37/1.07
% 4.37/1.07 % (15281)Memory used [KB]: 6396
% 4.37/1.07 % (15281)Time elapsed: 0.094 s
% 4.37/1.07 % (15281)Instructions burned: 283 (million)
% 4.37/1.07 % (15281)------------------------------
% 4.37/1.07 % (15281)------------------------------
% 4.37/1.07 % (15305)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 (2993ds/258Mi)
% 5.09/1.07 % (15309)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 (2993ds/90Mi)
% 5.09/1.08 % (15278)Instruction limit reached!
% 5.09/1.08 % (15278)------------------------------
% 5.09/1.08 % (15278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.09/1.08 % (15278)Termination reason: Unknown
% 5.09/1.08 % (15278)Termination phase: Saturation
% 5.09/1.08
% 5.09/1.08 % (15278)Memory used [KB]: 6268
% 5.09/1.08 % (15278)Time elapsed: 0.111 s
% 5.09/1.08 % (15278)Instructions burned: 341 (million)
% 5.09/1.08 % (15278)------------------------------
% 5.09/1.08 % (15278)------------------------------
% 5.09/1.08 % (15314)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 (2992ds/231Mi)
% 5.09/1.11 % (15301)Instruction limit reached!
% 5.09/1.11 % (15301)------------------------------
% 5.09/1.11 % (15301)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.09/1.11 % (15301)Termination reason: Unknown
% 5.09/1.11 % (15301)Termination phase: Saturation
% 5.09/1.11
% 5.09/1.11 % (15301)Memory used [KB]: 6396
% 5.09/1.11 % (15301)Time elapsed: 0.059 s
% 5.09/1.11 % (15301)Instructions burned: 192 (million)
% 5.09/1.11 % (15301)------------------------------
% 5.09/1.11 % (15301)------------------------------
% 5.09/1.11 % (15309)Instruction limit reached!
% 5.09/1.11 % (15309)------------------------------
% 5.09/1.11 % (15309)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.09/1.11 % (15309)Termination reason: Unknown
% 5.09/1.11 % (15309)Termination phase: Saturation
% 5.09/1.11
% 5.09/1.11 % (15309)Memory used [KB]: 5884
% 5.09/1.11 % (15309)Time elapsed: 0.056 s
% 5.09/1.11 % (15309)Instructions burned: 91 (million)
% 5.09/1.11 % (15309)------------------------------
% 5.09/1.11 % (15309)------------------------------
% 5.39/1.12 % (15322)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 (2992ds/458Mi)
% 5.39/1.12 % (15323)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 (2992ds/31Mi)
% 5.39/1.12 % (15300)Instruction limit reached!
% 5.39/1.12 % (15300)------------------------------
% 5.39/1.12 % (15300)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.39/1.12 % (15300)Termination reason: Unknown
% 5.39/1.12 % (15300)Termination phase: Saturation
% 5.39/1.12
% 5.39/1.12 % (15300)Memory used [KB]: 6012
% 5.39/1.12 % (15300)Time elapsed: 0.097 s
% 5.39/1.12 % (15300)Instructions burned: 299 (million)
% 5.39/1.12 % (15300)------------------------------
% 5.39/1.12 % (15300)------------------------------
% 5.39/1.13 % (15323)Instruction limit reached!
% 5.39/1.13 % (15323)------------------------------
% 5.39/1.13 % (15323)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.39/1.13 % (15323)Termination reason: Unknown
% 5.39/1.13 % (15323)Termination phase: Saturation
% 5.39/1.13
% 5.39/1.13 % (15323)Memory used [KB]: 5756
% 5.39/1.13 % (15323)Time elapsed: 0.035 s
% 5.39/1.13 % (15323)Instructions burned: 33 (million)
% 5.39/1.13 % (15323)------------------------------
% 5.39/1.13 % (15323)------------------------------
% 5.39/1.13 % (15325)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 (2992ds/297Mi)
% 5.39/1.13 % (15163)Instruction limit reached!
% 5.39/1.13 % (15163)------------------------------
% 5.39/1.13 % (15163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.39/1.13 % (15163)Termination reason: Unknown
% 5.39/1.13 % (15163)Termination phase: Saturation
% 5.39/1.13
% 5.39/1.13 % (15163)Memory used [KB]: 7547
% 5.39/1.13 % (15163)Time elapsed: 0.340 s
% 5.39/1.13 % (15163)Instructions burned: 1087 (million)
% 5.39/1.13 % (15163)------------------------------
% 5.39/1.13 % (15163)------------------------------
% 5.39/1.14 % (15326)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 (2992ds/987Mi)
% 5.39/1.14 % (15328)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 (2992ds/182Mi)
% 5.39/1.15 % (15314)Instruction limit reached!
% 5.39/1.15 % (15314)------------------------------
% 5.39/1.15 % (15314)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.39/1.15 % (15314)Termination reason: Unknown
% 5.39/1.15 % (15314)Termination phase: Saturation
% 5.39/1.15
% 5.39/1.15 % (15314)Memory used [KB]: 6524
% 5.39/1.15 % (15314)Time elapsed: 0.090 s
% 5.39/1.15 % (15314)Instructions burned: 233 (million)
% 5.52/1.15 % (15314)------------------------------
% 5.52/1.15 % (15314)------------------------------
% 5.52/1.16 % (15305)Instruction limit reached!
% 5.52/1.16 % (15305)------------------------------
% 5.52/1.16 % (15305)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.16 % (15305)Termination reason: Unknown
% 5.52/1.16 % (15305)Termination phase: Saturation
% 5.52/1.16
% 5.52/1.16 % (15305)Memory used [KB]: 6396
% 5.52/1.16 % (15305)Time elapsed: 0.113 s
% 5.52/1.16 % (15305)Instructions burned: 260 (million)
% 5.52/1.16 % (15305)------------------------------
% 5.52/1.16 % (15305)------------------------------
% 5.52/1.16 % (15333)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 (2992ds/182Mi)
% 5.52/1.17 % (15336)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 (2991ds/154Mi)
% 5.52/1.17 % (15262)Instruction limit reached!
% 5.52/1.17 % (15262)------------------------------
% 5.52/1.17 % (15262)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.17 % (15262)Termination reason: Unknown
% 5.52/1.17 % (15262)Termination phase: Saturation
% 5.52/1.17
% 5.52/1.17 % (15262)Memory used [KB]: 8059
% 5.52/1.17 % (15262)Time elapsed: 0.229 s
% 5.52/1.17 % (15262)Instructions burned: 616 (million)
% 5.52/1.17 % (15262)------------------------------
% 5.52/1.17 % (15262)------------------------------
% 5.52/1.18 % (15337)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 (2991ds/79Mi)
% 5.52/1.21 % (15328)Instruction limit reached!
% 5.52/1.21 % (15328)------------------------------
% 5.52/1.21 % (15328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.21 % (15328)Termination reason: Unknown
% 5.52/1.21 % (15328)Termination phase: Saturation
% 5.52/1.21
% 5.52/1.21 % (15328)Memory used [KB]: 6268
% 5.52/1.21 % (15328)Time elapsed: 0.065 s
% 5.52/1.21 % (15328)Instructions burned: 184 (million)
% 5.52/1.21 % (15328)------------------------------
% 5.52/1.21 % (15328)------------------------------
% 5.52/1.21 % (15337)Instruction limit reached!
% 5.52/1.21 % (15337)------------------------------
% 5.52/1.21 % (15337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.21 % (15337)Termination reason: Unknown
% 5.52/1.21 % (15337)Termination phase: Saturation
% 5.52/1.21
% 5.52/1.21 % (15337)Memory used [KB]: 6012
% 5.52/1.21 % (15337)Time elapsed: 0.032 s
% 5.52/1.21 % (15337)Instructions burned: 79 (million)
% 5.52/1.21 % (15337)------------------------------
% 5.52/1.21 % (15337)------------------------------
% 5.52/1.21 % (15336)Instruction limit reached!
% 5.52/1.21 % (15336)------------------------------
% 5.52/1.21 % (15336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.21 % (15336)Termination reason: Unknown
% 5.52/1.21 % (15336)Termination phase: Saturation
% 5.52/1.21
% 5.52/1.21 % (15336)Memory used [KB]: 6268
% 5.52/1.21 % (15336)Time elapsed: 0.047 s
% 5.52/1.21 % (15336)Instructions burned: 154 (million)
% 5.52/1.21 % (15336)------------------------------
% 5.52/1.21 % (15336)------------------------------
% 5.52/1.22 % (15338)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 (2991ds/216Mi)
% 5.52/1.22 % (15333)Instruction limit reached!
% 5.52/1.22 % (15333)------------------------------
% 5.52/1.22 % (15333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.22 % (15333)Termination reason: Unknown
% 5.52/1.22 % (15333)Termination phase: Saturation
% 5.52/1.22
% 5.52/1.22 % (15333)Memory used [KB]: 6012
% 5.52/1.22 % (15333)Time elapsed: 0.060 s
% 5.52/1.22 % (15333)Instructions burned: 183 (million)
% 5.52/1.22 % (15333)------------------------------
% 5.52/1.22 % (15333)------------------------------
% 5.52/1.22 % (15339)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 (2991ds/114Mi)
% 5.52/1.22 % (15340)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 (2991ds/922Mi)
% 5.52/1.23 % (15325)Instruction limit reached!
% 5.52/1.23 % (15325)------------------------------
% 5.52/1.23 % (15325)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.52/1.23 % (15325)Termination reason: Unknown
% 5.52/1.23 % (15325)Termination phase: Saturation
% 5.52/1.23
% 5.52/1.23 % (15325)Memory used [KB]: 6268
% 5.52/1.23 % (15325)Time elapsed: 0.117 s
% 5.52/1.23 % (15325)Instructions burned: 297 (million)
% 5.52/1.23 % (15325)------------------------------
% 5.52/1.23 % (15325)------------------------------
% 5.52/1.23 % (15341)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 (2991ds/182Mi)
% 5.97/1.23 % (15342)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 (2991ds/164Mi)
% 5.97/1.25 % (15322)Instruction limit reached!
% 5.97/1.25 % (15322)------------------------------
% 5.97/1.25 % (15322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.97/1.25 % (15322)Termination reason: Unknown
% 5.97/1.25 % (15322)Termination phase: Saturation
% 5.97/1.25
% 5.97/1.25 % (15322)Memory used [KB]: 6524
% 5.97/1.25 % (15322)Time elapsed: 0.157 s
% 5.97/1.25 % (15322)Instructions burned: 458 (million)
% 5.97/1.25 % (15322)------------------------------
% 5.97/1.25 % (15322)------------------------------
% 5.97/1.26 % (15339)Instruction limit reached!
% 5.97/1.26 % (15339)------------------------------
% 5.97/1.26 % (15339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.97/1.26 % (15339)Termination reason: Unknown
% 5.97/1.26 % (15339)Termination phase: Saturation
% 5.97/1.26
% 5.97/1.26 % (15339)Memory used [KB]: 6012
% 5.97/1.26 % (15339)Time elapsed: 0.037 s
% 5.97/1.26 % (15339)Instructions burned: 114 (million)
% 5.97/1.26 % (15339)------------------------------
% 5.97/1.26 % (15339)------------------------------
% 5.97/1.26 % (15351)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 (2991ds/50Mi)
% 5.97/1.27 % (15353)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 (2991ds/368Mi)
% 5.97/1.27 % (15351)Instruction limit reached!
% 5.97/1.27 % (15351)------------------------------
% 5.97/1.27 % (15351)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.97/1.27 % (15351)Termination reason: Unknown
% 5.97/1.27 % (15351)Termination phase: Saturation
% 5.97/1.27
% 5.97/1.27 % (15351)Memory used [KB]: 10234
% 5.97/1.27 % (15351)Time elapsed: 0.017 s
% 5.97/1.27 % (15351)Instructions burned: 51 (million)
% 5.97/1.27 % (15351)------------------------------
% 5.97/1.27 % (15351)------------------------------
% 6.19/1.28 % (15342)Instruction limit reached!
% 6.19/1.28 % (15342)------------------------------
% 6.19/1.28 % (15342)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.19/1.28 % (15342)Termination reason: Unknown
% 6.19/1.28 % (15342)Termination phase: Saturation
% 6.19/1.28
% 6.19/1.28 % (15342)Memory used [KB]: 1279
% 6.19/1.28 % (15342)Time elapsed: 0.049 s
% 6.19/1.28 % (15342)Instructions burned: 165 (million)
% 6.19/1.28 % (15342)------------------------------
% 6.19/1.28 % (15342)------------------------------
% 6.19/1.28 % (15365)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 (2990ds/1021Mi)
% 6.19/1.28 % (15338)Instruction limit reached!
% 6.19/1.28 % (15338)------------------------------
% 6.19/1.28 % (15338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.19/1.28 % (15338)Termination reason: Unknown
% 6.19/1.28 % (15338)Termination phase: Saturation
% 6.19/1.28
% 6.19/1.28 % (15338)Memory used [KB]: 5884
% 6.19/1.28 % (15338)Time elapsed: 0.069 s
% 6.19/1.28 % (15338)Instructions burned: 216 (million)
% 6.19/1.28 % (15338)------------------------------
% 6.19/1.28 % (15338)------------------------------
% 6.19/1.28 % (15341)Instruction limit reached!
% 6.19/1.28 % (15341)------------------------------
% 6.19/1.28 % (15341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.19/1.28 % (15341)Termination reason: Unknown
% 6.19/1.28 % (15341)Termination phase: Saturation
% 6.19/1.28
% 6.19/1.28 % (15341)Memory used [KB]: 5756
% 6.19/1.28 % (15341)Time elapsed: 0.059 s
% 6.19/1.28 % (15341)Instructions burned: 184 (million)
% 6.19/1.28 % (15341)------------------------------
% 6.19/1.28 % (15341)------------------------------
% 6.19/1.29 % (15374)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 (2990ds/204Mi)
% 6.19/1.29 % (15372)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 (2990ds/267Mi)
% 6.19/1.29 % (15376)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 (2990ds/26Mi)
% 6.19/1.30 % (15376)Instruction limit reached!
% 6.19/1.30 % (15376)------------------------------
% 6.19/1.30 % (15376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.19/1.30 % (15376)Termination reason: Unknown
% 6.19/1.30 % (15376)Termination phase: Saturation
% 6.19/1.30
% 6.19/1.30 % (15376)Memory used [KB]: 5628
% 6.19/1.30 % (15376)Time elapsed: 0.009 s
% 6.19/1.30 % (15376)Instructions burned: 27 (million)
% 6.19/1.30 % (15376)------------------------------
% 6.19/1.30 % (15376)------------------------------
% 6.19/1.31 % (15389)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 (2990ds/53Mi)
% 6.19/1.33 % (15389)Instruction limit reached!
% 6.19/1.33 % (15389)------------------------------
% 6.19/1.33 % (15389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.19/1.33 % (15389)Termination reason: Unknown
% 6.19/1.33 % (15389)Termination phase: Saturation
% 6.19/1.33
% 6.19/1.33 % (15389)Memory used [KB]: 5756
% 6.19/1.33 % (15389)Time elapsed: 0.017 s
% 6.19/1.33 % (15389)Instructions burned: 56 (million)
% 6.19/1.33 % (15389)------------------------------
% 6.19/1.33 % (15389)------------------------------
% 6.19/1.33 % (15398)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 (2990ds/4436Mi)
% 6.42/1.36 % (15374)Instruction limit reached!
% 6.42/1.36 % (15374)------------------------------
% 6.42/1.36 % (15374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.42/1.36 % (15374)Termination reason: Unknown
% 6.42/1.36 % (15374)Termination phase: Saturation
% 6.42/1.36
% 6.42/1.36 % (15374)Memory used [KB]: 6268
% 6.42/1.36 % (15374)Time elapsed: 0.071 s
% 6.42/1.36 % (15374)Instructions burned: 204 (million)
% 6.42/1.36 % (15374)------------------------------
% 6.42/1.36 % (15374)------------------------------
% 6.42/1.37 % (15399)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 (2990ds/1539Mi)
% 6.42/1.38 % (15353)Instruction limit reached!
% 6.42/1.38 % (15353)------------------------------
% 6.42/1.38 % (15353)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.42/1.38 % (15353)Termination reason: Unknown
% 6.42/1.38 % (15353)Termination phase: Saturation
% 6.42/1.38
% 6.42/1.38 % (15353)Memory used [KB]: 6652
% 6.42/1.38 % (15353)Time elapsed: 0.113 s
% 6.42/1.38 % (15353)Instructions burned: 370 (million)
% 6.42/1.38 % (15353)------------------------------
% 6.42/1.38 % (15353)------------------------------
% 6.42/1.38 % (15372)Instruction limit reached!
% 6.42/1.38 % (15372)------------------------------
% 6.42/1.38 % (15372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.42/1.38 % (15372)Termination reason: Unknown
% 6.42/1.38 % (15372)Termination phase: Saturation
% 6.42/1.38
% 6.42/1.38 % (15372)Memory used [KB]: 6396
% 6.42/1.38 % (15372)Time elapsed: 0.091 s
% 6.42/1.38 % (15372)Instructions burned: 268 (million)
% 6.42/1.38 % (15372)------------------------------
% 6.42/1.38 % (15372)------------------------------
% 6.42/1.39 % (15400)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 (2989ds/408Mi)
% 6.42/1.39 % (15401)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 (2989ds/5205Mi)
% 6.73/1.44 % (15326)Instruction limit reached!
% 6.73/1.44 % (15326)------------------------------
% 6.73/1.44 % (15326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.73/1.44 % (15326)Termination reason: Unknown
% 6.73/1.44 % (15326)Termination phase: Saturation
% 6.73/1.44
% 6.73/1.44 % (15326)Memory used [KB]: 6652
% 6.73/1.44 % (15326)Time elapsed: 0.329 s
% 6.73/1.44 % (15326)Instructions burned: 988 (million)
% 6.73/1.44 % (15326)------------------------------
% 6.73/1.44 % (15326)------------------------------
% 6.73/1.45 % (15402)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 (2989ds/1913Mi)
% 7.04/1.50 % (15340)Instruction limit reached!
% 7.04/1.50 % (15340)------------------------------
% 7.04/1.50 % (15340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.04/1.50 % (15340)Termination reason: Unknown
% 7.04/1.50 % (15340)Termination phase: Saturation
% 7.04/1.50
% 7.04/1.50 % (15340)Memory used [KB]: 6908
% 7.04/1.50 % (15340)Time elapsed: 0.282 s
% 7.04/1.50 % (15340)Instructions burned: 923 (million)
% 7.04/1.50 % (15340)------------------------------
% 7.04/1.50 % (15340)------------------------------
% 7.04/1.51 % (15403)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 (2988ds/4350Mi)
% 7.04/1.51 % (15400)Instruction limit reached!
% 7.04/1.51 % (15400)------------------------------
% 7.04/1.51 % (15400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.04/1.51 % (15400)Termination reason: Unknown
% 7.04/1.51 % (15400)Termination phase: Saturation
% 7.04/1.51
% 7.04/1.51 % (15400)Memory used [KB]: 6908
% 7.04/1.51 % (15400)Time elapsed: 0.128 s
% 7.04/1.51 % (15400)Instructions burned: 410 (million)
% 7.04/1.51 % (15400)------------------------------
% 7.04/1.51 % (15400)------------------------------
% 7.04/1.52 % (15405)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 (2988ds/68Mi)
% 7.47/1.54 % (15405)Instruction limit reached!
% 7.47/1.54 % (15405)------------------------------
% 7.47/1.54 % (15405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.47/1.54 % (15405)Termination reason: Unknown
% 7.47/1.54 % (15405)Termination phase: Saturation
% 7.47/1.54
% 7.47/1.54 % (15405)Memory used [KB]: 6012
% 7.47/1.54 % (15405)Time elapsed: 0.024 s
% 7.47/1.54 % (15405)Instructions burned: 70 (million)
% 7.47/1.54 % (15405)------------------------------
% 7.47/1.54 % (15405)------------------------------
% 7.47/1.55 % (15406)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 (2988ds/358Mi)
% 7.50/1.62 % (15365)Instruction limit reached!
% 7.50/1.62 % (15365)------------------------------
% 7.50/1.62 % (15365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.50/1.62 % (15365)Termination reason: Unknown
% 7.50/1.62 % (15365)Termination phase: Saturation
% 7.50/1.62
% 7.50/1.62 % (15365)Memory used [KB]: 6524
% 7.50/1.62 % (15365)Time elapsed: 0.334 s
% 7.50/1.62 % (15365)Instructions burned: 1021 (million)
% 7.50/1.62 % (15365)------------------------------
% 7.50/1.62 % (15365)------------------------------
% 7.50/1.62 % (15407)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 (2987ds/31Mi)
% 7.50/1.63 % (15407)Instruction limit reached!
% 7.50/1.63 % (15407)------------------------------
% 7.50/1.63 % (15407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.50/1.63 % (15407)Termination reason: Unknown
% 7.50/1.63 % (15407)Termination phase: Saturation
% 7.50/1.63
% 7.50/1.63 % (15407)Memory used [KB]: 5756
% 7.50/1.63 % (15407)Time elapsed: 0.011 s
% 7.50/1.63 % (15407)Instructions burned: 31 (million)
% 7.50/1.63 % (15407)------------------------------
% 7.50/1.63 % (15407)------------------------------
% 7.50/1.64 % (15408)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2987ds/279Mi)
% 9.15/1.67 % (15406)Instruction limit reached!
% 9.15/1.67 % (15406)------------------------------
% 9.15/1.67 % (15406)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.15/1.67 % (15406)Termination reason: Unknown
% 9.15/1.67 % (15406)Termination phase: Saturation
% 9.15/1.67
% 9.15/1.67 % (15406)Memory used [KB]: 6140
% 9.15/1.67 % (15406)Time elapsed: 0.136 s
% 9.15/1.67 % (15406)Instructions burned: 359 (million)
% 9.15/1.67 % (15406)------------------------------
% 9.15/1.67 % (15406)------------------------------
% 9.29/1.67 % (15409)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2986ds/258Mi)
% 9.64/1.73 % (15408)Instruction limit reached!
% 9.64/1.73 % (15408)------------------------------
% 9.64/1.73 % (15408)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.64/1.73 % (15408)Termination reason: Unknown
% 9.64/1.73 % (15408)Termination phase: Saturation
% 9.64/1.73
% 9.64/1.73 % (15408)Memory used [KB]: 5884
% 9.64/1.73 % (15408)Time elapsed: 0.107 s
% 9.64/1.73 % (15408)Instructions burned: 280 (million)
% 9.64/1.73 % (15408)------------------------------
% 9.64/1.73 % (15408)------------------------------
% 9.64/1.73 % (15410)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 (2986ds/26Mi)
% 9.64/1.74 % (15410)Instruction limit reached!
% 9.64/1.74 % (15410)------------------------------
% 9.64/1.74 % (15410)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.64/1.74 % (15410)Termination reason: Unknown
% 9.64/1.74 % (15410)Termination phase: Saturation
% 9.64/1.74
% 9.64/1.74 % (15410)Memory used [KB]: 5628
% 9.64/1.74 % (15410)Time elapsed: 0.009 s
% 9.64/1.74 % (15410)Instructions burned: 29 (million)
% 9.64/1.74 % (15410)------------------------------
% 9.64/1.74 % (15410)------------------------------
% 9.78/1.75 % (15411)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 (2986ds/995Mi)
% 9.78/1.76 % (15409)Instruction limit reached!
% 9.78/1.76 % (15409)------------------------------
% 9.78/1.76 % (15409)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.78/1.76 % (15409)Termination reason: Unknown
% 9.78/1.76 % (15409)Termination phase: Saturation
% 9.78/1.76
% 9.78/1.76 % (15409)Memory used [KB]: 6140
% 9.78/1.76 % (15409)Time elapsed: 0.087 s
% 9.78/1.76 % (15409)Instructions burned: 260 (million)
% 9.78/1.76 % (15409)------------------------------
% 9.78/1.76 % (15409)------------------------------
% 9.78/1.77 % (15412)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 (2985ds/373Mi)
% 9.78/1.80 % (15399)Instruction limit reached!
% 9.78/1.80 % (15399)------------------------------
% 9.78/1.80 % (15399)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 9.78/1.80 % (15399)Termination reason: Unknown
% 9.78/1.80 % (15399)Termination phase: Saturation
% 9.78/1.80
% 9.78/1.80 % (15399)Memory used [KB]: 8187
% 9.78/1.80 % (15399)Time elapsed: 0.432 s
% 9.78/1.80 % (15399)Instructions burned: 1542 (million)
% 9.78/1.80 % (15399)------------------------------
% 9.78/1.80 % (15399)------------------------------
% 9.78/1.81 % (15413)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 (2985ds/253Mi)
% 10.42/1.88 % (15412)Instruction limit reached!
% 10.42/1.88 % (15412)------------------------------
% 10.42/1.88 % (15412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.42/1.88 % (15412)Termination reason: Unknown
% 10.42/1.88 % (15412)Termination phase: Saturation
% 10.42/1.88
% 10.42/1.88 % (15412)Memory used [KB]: 6780
% 10.42/1.88 % (15412)Time elapsed: 0.113 s
% 10.42/1.88 % (15412)Instructions burned: 376 (million)
% 10.42/1.88 % (15412)------------------------------
% 10.42/1.88 % (15412)------------------------------
% 10.42/1.88 % (15413)Instruction limit reached!
% 10.42/1.88 % (15413)------------------------------
% 10.42/1.88 % (15413)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.42/1.88 % (15413)Termination reason: Unknown
% 10.42/1.88 % (15413)Termination phase: Saturation
% 10.42/1.88
% 10.42/1.88 % (15413)Memory used [KB]: 5884
% 10.42/1.88 % (15413)Time elapsed: 0.075 s
% 10.42/1.88 % (15413)Instructions burned: 255 (million)
% 10.42/1.88 % (15413)------------------------------
% 10.42/1.88 % (15413)------------------------------
% 10.42/1.89 % (15414)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 (2984ds/832Mi)
% 10.42/1.89 % (15415)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 (2984ds/668Mi)
% 11.02/1.98 % (15402)Instruction limit reached!
% 11.02/1.98 % (15402)------------------------------
% 11.02/1.98 % (15402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.02/1.98 % (15402)Termination reason: Unknown
% 11.02/1.98 % (15402)Termination phase: Saturation
% 11.02/1.98
% 11.02/1.98 % (15402)Memory used [KB]: 2558
% 11.02/1.98 % (15402)Time elapsed: 0.529 s
% 11.02/1.98 % (15402)Instructions burned: 1915 (million)
% 11.02/1.98 % (15402)------------------------------
% 11.02/1.98 % (15402)------------------------------
% 11.02/1.99 % (15416)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 (2983ds/40Mi)
% 11.02/2.00 % (15416)Instruction limit reached!
% 11.02/2.00 % (15416)------------------------------
% 11.02/2.00 % (15416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.02/2.00 % (15416)Termination reason: Unknown
% 11.02/2.00 % (15416)Termination phase: Saturation
% 11.02/2.00
% 11.02/2.00 % (15416)Memory used [KB]: 5628
% 11.02/2.00 % (15416)Time elapsed: 0.013 s
% 11.02/2.00 % (15416)Instructions burned: 41 (million)
% 11.02/2.00 % (15416)------------------------------
% 11.02/2.00 % (15416)------------------------------
% 11.02/2.01 % (15417)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 (2983ds/294Mi)
% 11.02/2.02 % (15411)Instruction limit reached!
% 11.02/2.02 % (15411)------------------------------
% 11.02/2.02 % (15411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.02/2.02 % (15411)Termination reason: Unknown
% 11.02/2.02 % (15411)Termination phase: Saturation
% 11.02/2.02
% 11.02/2.02 % (15411)Memory used [KB]: 6140
% 11.02/2.02 % (15411)Time elapsed: 0.271 s
% 11.02/2.02 % (15411)Instructions burned: 996 (million)
% 11.02/2.02 % (15411)------------------------------
% 11.02/2.02 % (15411)------------------------------
% 11.51/2.03 % (15418)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 (2983ds/187Mi)
% 11.57/2.08 % (15415)Instruction limit reached!
% 11.57/2.08 % (15415)------------------------------
% 11.57/2.08 % (15415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.57/2.08 % (15415)Termination reason: Unknown
% 11.57/2.08 % (15415)Termination phase: Saturation
% 11.57/2.08
% 11.57/2.08 % (15415)Memory used [KB]: 11385
% 11.57/2.08 % (15415)Time elapsed: 0.193 s
% 11.57/2.08 % (15415)Instructions burned: 668 (million)
% 11.57/2.08 % (15415)------------------------------
% 11.57/2.08 % (15415)------------------------------
% 11.57/2.09 % (15418)Instruction limit reached!
% 11.57/2.09 % (15418)------------------------------
% 11.57/2.09 % (15418)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.57/2.09 % (15418)Termination reason: Unknown
% 11.57/2.09 % (15418)Termination phase: Saturation
% 11.57/2.09
% 11.57/2.09 % (15418)Memory used [KB]: 6524
% 11.57/2.09 % (15418)Time elapsed: 0.061 s
% 11.57/2.09 % (15418)Instructions burned: 187 (million)
% 11.57/2.09 % (15418)------------------------------
% 11.57/2.09 % (15418)------------------------------
% 11.57/2.09 % (15419)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 (2982ds/371Mi)
% 11.57/2.10 % (15420)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 (2982ds/1827Mi)
% 11.57/2.10 % (15417)Instruction limit reached!
% 11.57/2.10 % (15417)------------------------------
% 11.57/2.10 % (15417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.57/2.10 % (15417)Termination reason: Unknown
% 11.57/2.10 % (15417)Termination phase: Saturation
% 11.57/2.10
% 11.57/2.10 % (15417)Memory used [KB]: 6268
% 11.57/2.10 % (15417)Time elapsed: 0.096 s
% 11.57/2.10 % (15417)Instructions burned: 296 (million)
% 11.57/2.10 % (15417)------------------------------
% 11.57/2.10 % (15417)------------------------------
% 11.57/2.11 % (15414)Refutation not found, non-redundant clauses discarded% (15414)------------------------------
% 11.57/2.11 % (15414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.57/2.11 % (15414)Termination reason: Refutation not found, non-redundant clauses discarded
% 11.57/2.11
% 11.57/2.11 % (15414)Memory used [KB]: 5884
% 11.57/2.11 % (15414)Time elapsed: 0.219 s
% 11.57/2.11 % (15414)Instructions burned: 805 (million)
% 11.57/2.11 % (15414)------------------------------
% 11.57/2.11 % (15414)------------------------------
% 11.57/2.11 % (15421)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 (2982ds/70Mi)
% 11.57/2.12 % (15422)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 (2982ds/316Mi)
% 12.39/2.13 % (15421)Instruction limit reached!
% 12.39/2.13 % (15421)------------------------------
% 12.39/2.13 % (15421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.39/2.13 % (15421)Termination reason: Unknown
% 12.39/2.13 % (15421)Termination phase: Saturation
% 12.39/2.13
% 12.39/2.13 % (15421)Memory used [KB]: 1279
% 12.39/2.13 % (15421)Time elapsed: 0.022 s
% 12.39/2.13 % (15421)Instructions burned: 73 (million)
% 12.39/2.13 % (15421)------------------------------
% 12.39/2.13 % (15421)------------------------------
% 12.39/2.14 % (15423)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 (2982ds/932Mi)
% 12.89/2.21 % (15422)Instruction limit reached!
% 12.89/2.21 % (15422)------------------------------
% 12.89/2.21 % (15422)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.89/2.21 % (15422)Termination reason: Unknown
% 12.89/2.21 % (15422)Termination phase: Saturation
% 12.89/2.21
% 12.89/2.21 % (15422)Memory used [KB]: 5884
% 12.89/2.21 % (15422)Time elapsed: 0.095 s
% 12.89/2.21 % (15422)Instructions burned: 318 (million)
% 12.89/2.21 % (15422)------------------------------
% 12.89/2.21 % (15422)------------------------------
% 12.89/2.22 % (15424)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 (2981ds/4714Mi)
% 12.89/2.22 % (15419)Instruction limit reached!
% 12.89/2.22 % (15419)------------------------------
% 12.89/2.22 % (15419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 12.89/2.22 % (15419)Termination reason: Unknown
% 12.89/2.22 % (15419)Termination phase: Saturation
% 12.89/2.22
% 12.89/2.22 % (15419)Memory used [KB]: 6908
% 12.89/2.22 % (15419)Time elapsed: 0.133 s
% 12.89/2.22 % (15419)Instructions burned: 372 (million)
% 12.89/2.22 % (15419)------------------------------
% 12.89/2.22 % (15419)------------------------------
% 12.89/2.23 % (15425)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 (2981ds/8250Mi)
% 14.08/2.45 % (15423)Instruction limit reached!
% 14.08/2.45 % (15423)------------------------------
% 14.08/2.45 % (15423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 14.08/2.45 % (15423)Termination reason: Unknown
% 14.08/2.45 % (15423)Termination phase: Saturation
% 14.08/2.45
% 14.08/2.45 % (15423)Memory used [KB]: 8443
% 14.08/2.45 % (15423)Time elapsed: 0.315 s
% 14.08/2.45 % (15423)Instructions burned: 933 (million)
% 14.08/2.45 % (15423)------------------------------
% 14.08/2.45 % (15423)------------------------------
% 14.08/2.46 % (15426)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 (2979ds/770Mi)
% 15.07/2.67 % (15426)Instruction limit reached!
% 15.07/2.67 % (15426)------------------------------
% 15.07/2.67 % (15426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.07/2.67 % (15426)Termination reason: Unknown
% 15.07/2.67 % (15426)Termination phase: Saturation
% 15.07/2.67
% 15.07/2.67 % (15426)Memory used [KB]: 6268
% 15.07/2.67 % (15426)Time elapsed: 0.213 s
% 15.07/2.67 % (15426)Instructions burned: 772 (million)
% 15.07/2.67 % (15426)------------------------------
% 15.07/2.67 % (15426)------------------------------
% 15.07/2.68 % (15398)Instruction limit reached!
% 15.07/2.68 % (15398)------------------------------
% 15.07/2.68 % (15398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.07/2.68 % (15398)Termination reason: Unknown
% 15.07/2.68 % (15398)Termination phase: Saturation
% 15.07/2.68
% 15.07/2.68 % (15398)Memory used [KB]: 9466
% 15.07/2.68 % (15398)Time elapsed: 1.345 s
% 15.07/2.68 % (15398)Instructions burned: 4438 (million)
% 15.07/2.68 % (15398)------------------------------
% 15.07/2.68 % (15398)------------------------------
% 15.07/2.68 % (15427)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 (2976ds/794Mi)
% 15.07/2.69 % (15428)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 (2976ds/464Mi)
% 15.07/2.70 % (15420)Instruction limit reached!
% 15.07/2.70 % (15420)------------------------------
% 15.07/2.70 % (15420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 15.07/2.70 % (15420)Termination reason: Unknown
% 15.07/2.70 % (15420)Termination phase: Saturation
% 15.07/2.70
% 15.07/2.70 % (15420)Memory used [KB]: 8443
% 15.07/2.70 % (15420)Time elapsed: 0.599 s
% 15.07/2.70 % (15420)Instructions burned: 1828 (million)
% 15.07/2.70 % (15420)------------------------------
% 15.07/2.70 % (15420)------------------------------
% 15.07/2.70 % (15429)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 (2976ds/1376Mi)
% 16.67/2.76 % (15403)Instruction limit reached!
% 16.67/2.76 % (15403)------------------------------
% 16.67/2.76 % (15403)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 16.67/2.76 % (15403)Termination reason: Unknown
% 16.67/2.76 % (15403)Termination phase: Saturation
% 16.67/2.76
% 16.67/2.76 % (15403)Memory used [KB]: 11385
% 16.67/2.76 % (15403)Time elapsed: 1.271 s
% 16.67/2.76 % (15403)Instructions burned: 4351 (million)
% 16.67/2.76 % (15403)------------------------------
% 16.67/2.76 % (15403)------------------------------
% 16.67/2.77 % (15430)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2975ds/906Mi)
% 17.11/2.82 % (15428)Instruction limit reached!
% 17.11/2.82 % (15428)------------------------------
% 17.11/2.82 % (15428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.11/2.82 % (15428)Termination reason: Unknown
% 17.11/2.82 % (15428)Termination phase: Saturation
% 17.11/2.82
% 17.11/2.82 % (15428)Memory used [KB]: 6140
% 17.11/2.82 % (15428)Time elapsed: 0.135 s
% 17.11/2.82 % (15428)Instructions burned: 465 (million)
% 17.11/2.82 % (15428)------------------------------
% 17.11/2.82 % (15428)------------------------------
% 17.11/2.83 % (15431)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2975ds/434Mi)
% 17.80/2.92 % (15427)Instruction limit reached!
% 17.80/2.92 % (15427)------------------------------
% 17.80/2.92 % (15427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.80/2.92 % (15427)Termination reason: Unknown
% 17.80/2.92 % (15427)Termination phase: Saturation
% 17.80/2.92
% 17.80/2.92 % (15427)Memory used [KB]: 3709
% 17.80/2.92 % (15427)Time elapsed: 0.236 s
% 17.80/2.92 % (15427)Instructions burned: 795 (million)
% 17.80/2.92 % (15427)------------------------------
% 17.80/2.92 % (15427)------------------------------
% 17.80/2.93 % (15432)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2974ds/865Mi)
% 17.80/2.96 % (15431)Instruction limit reached!
% 17.80/2.96 % (15431)------------------------------
% 17.80/2.96 % (15431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 17.80/2.96 % (15431)Termination reason: Unknown
% 17.80/2.96 % (15431)Termination phase: Saturation
% 17.80/2.96
% 17.80/2.96 % (15431)Memory used [KB]: 6396
% 17.80/2.96 % (15431)Time elapsed: 0.131 s
% 17.80/2.96 % (15431)Instructions burned: 435 (million)
% 17.80/2.96 % (15431)------------------------------
% 17.80/2.96 % (15431)------------------------------
% 17.80/2.97 % (15433)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2974ds/593Mi)
% 18.31/3.07 % (15430)Instruction limit reached!
% 18.31/3.07 % (15430)------------------------------
% 18.31/3.07 % (15430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.31/3.07 % (15430)Termination reason: Unknown
% 18.31/3.07 % (15430)Termination phase: Saturation
% 18.31/3.07
% 18.31/3.07 % (15430)Memory used [KB]: 8955
% 18.31/3.07 % (15430)Time elapsed: 0.298 s
% 18.31/3.07 % (15430)Instructions burned: 906 (million)
% 18.31/3.07 % (15430)------------------------------
% 18.31/3.07 % (15430)------------------------------
% 18.31/3.08 % (15434)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2972ds/443Mi)
% 18.95/3.13 % (15433)Instruction limit reached!
% 18.95/3.13 % (15433)------------------------------
% 18.95/3.13 % (15433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.95/3.13 % (15433)Termination reason: Unknown
% 18.95/3.13 % (15433)Termination phase: Saturation
% 18.95/3.13
% 18.95/3.13 % (15433)Memory used [KB]: 5884
% 18.95/3.13 % (15433)Time elapsed: 0.162 s
% 18.95/3.13 % (15433)Instructions burned: 593 (million)
% 18.95/3.13 % (15433)------------------------------
% 18.95/3.13 % (15433)------------------------------
% 18.95/3.14 % (15435)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2972ds/594Mi)
% 18.95/3.14 % (15401)First to succeed.
% 18.95/3.15 % (15429)Instruction limit reached!
% 18.95/3.15 % (15429)------------------------------
% 18.95/3.15 % (15429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.95/3.15 % (15429)Termination reason: Unknown
% 18.95/3.15 % (15429)Termination phase: Saturation
% 18.95/3.15
% 18.95/3.15 % (15429)Memory used [KB]: 11641
% 18.95/3.15 % (15429)Time elapsed: 0.450 s
% 18.95/3.15 % (15429)Instructions burned: 1378 (million)
% 18.95/3.15 % (15429)------------------------------
% 18.95/3.15 % (15429)------------------------------
% 18.95/3.16 % (15401)Refutation found. Thanks to Tanya!
% 18.95/3.16 % SZS status Theorem for theBenchmark
% 18.95/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 18.95/3.16 % (15401)------------------------------
% 18.95/3.16 % (15401)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 18.95/3.16 % (15401)Termination reason: Refutation
% 18.95/3.16
% 18.95/3.16 % (15401)Memory used [KB]: 16758
% 18.95/3.16 % (15401)Time elapsed: 1.766 s
% 18.95/3.16 % (15401)Instructions burned: 5118 (million)
% 18.95/3.16 % (15401)------------------------------
% 18.95/3.16 % (15401)------------------------------
% 18.95/3.16 % (15039)Success in time 2.796 s
%------------------------------------------------------------------------------