TSTP Solution File: SEV037^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV037^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Sun May 5 09:41:08 EDT 2024
% Result : Theorem 1.65s 0.58s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 39
% Syntax : Number of formulae : 290 ( 41 unt; 28 typ; 0 def)
% Number of atoms : 2435 ( 321 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 6610 ( 244 ~; 234 |; 235 &;4599 @)
% ( 10 <=>; 507 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 430 ( 430 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 34 usr; 21 con; 0-3 aty)
% ( 781 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1126 ( 924 ^ 201 !; 0 ?;1126 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK2: a > a > $o ).
thf(func_def_22,type,
sK3: a > b > b > $o ).
thf(func_def_23,type,
sK4: a > a > $o ).
thf(func_def_24,type,
sK5: a > b ).
thf(func_def_25,type,
sK6: a > b ).
thf(func_def_26,type,
sK7: a > b ).
thf(func_def_27,type,
sK8: a > b ).
thf(func_def_28,type,
sK9: a ).
thf(func_def_29,type,
sK10: a ).
thf(func_def_30,type,
sK11: a ).
thf(func_def_31,type,
sK12: a > b ).
thf(func_def_32,type,
sK13: a ).
thf(func_def_33,type,
sK14: a > b ).
thf(func_def_34,type,
sK15: a > b ).
thf(func_def_35,type,
sK16: a > b ).
thf(func_def_36,type,
sK17: a > b ).
thf(func_def_37,type,
sK18: a ).
thf(func_def_38,type,
sK19: a > b ).
thf(func_def_39,type,
sK20: a ).
thf(func_def_40,type,
sK21: a > b ).
thf(func_def_41,type,
sK22: a ).
thf(func_def_42,type,
sK23: a > b ).
thf(func_def_43,type,
sK24: a ).
thf(f1464,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f49,f89,f96,f334,f339,f376,f1301,f1309,f1319,f1396,f1463]) ).
thf(f1463,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
thf(f1462,plain,
( $false
| ~ spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1461]) ).
thf(f1461,plain,
( ( $false = $true )
| ~ spl0_5
| ~ spl0_10 ),
inference(boolean_simplification,[],[f1460]) ).
thf(f1460,plain,
( ( $false
= ( $false
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) ) ) )
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1459,f1414]) ).
thf(f1414,plain,
( ( ( sK2 @ sK11 @ sK13 )
= $false )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1400]) ).
thf(f1400,plain,
( ( $false = $true )
| ( ( sK2 @ sK11 @ sK13 )
= $false )
| ~ spl0_10 ),
inference(superposition,[],[f52,f371]) ).
thf(f371,plain,
( ( $false
= ( sK2 @ sK13 @ sK11 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f370]) ).
thf(f370,plain,
( spl0_10
<=> ( $false
= ( sK2 @ sK13 @ sK11 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f52,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
= $true )
| ( ( sK2 @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK2 @ X2 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f29]) ).
thf(f29,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK2 @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( sK4 = sK2 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ Y1 @ Y0 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK3 @ Y0 @ Y4 @ Y2 )
& ( sK3 @ Y0 @ Y3 @ Y4 ) )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK3 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK3 @ Y0 @ Y2 @ Y3 )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y3 @ Y1 ) )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) )
& ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK3 @ Y1 @ Y5 @ Y3 )
& ( sK3 @ Y1 @ Y4 @ Y5 ) )
=> ( sK3 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( sK3 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK3 @ Y1 @ Y3 @ Y4 )
=> ( sK3 @ Y1 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK3 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK3 @ Y5 @ ( Y3 @ Y5 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y1 @ Y2 )
& ( sK2 @ Y3 @ Y1 ) )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) )
& ( Y0 = sK2 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK3 @ Y1 @ Y5 @ Y3 )
& ( sK3 @ Y1 @ Y4 @ Y5 ) )
=> ( sK3 @ Y1 @ Y4 @ Y3 ) ) ) ) )
& ( ( sK3 @ Y1 )
= ( sK3 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK3 @ Y1 @ Y3 @ Y4 )
=> ( sK3 @ Y1 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK3 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( sK3 @ Y5 @ ( Y3 @ Y5 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y4 @ Y2 ) )
=> ( sK2 @ Y4 @ Y3 ) ) ) ) )
& ( Y1 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y2 @ Y6 @ Y4 )
& ( Y0 @ Y2 @ Y5 @ Y6 ) )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y0 @ Y2 )
= ( Y0 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y2 @ Y4 @ Y5 )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) )
@ 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
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y3 )
& ( sK2 @ Y4 @ Y2 ) )
=> ( sK2 @ Y4 @ Y3 ) ) ) ) )
& ( Y1 = sK2 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK2 @ Y3 @ Y2 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y2 @ Y6 @ Y4 )
& ( Y0 @ Y2 @ Y5 @ Y6 ) )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y0 @ Y2 )
= ( Y0 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y2 @ Y4 @ Y5 )
=> ( Y0 @ Y2 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y5 @ Y3 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y1 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y5 @ Y6 )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y5 @ Y7 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y5 @ Y3 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y1 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y5 @ Y6 )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y5 @ Y7 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y5 @ Y3 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y1 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y5 @ Y6 )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y5 @ Y7 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $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
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y5 @ Y3 ) )
=> ( Y0 @ Y5 @ Y4 ) ) ) ) )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y3 @ Y7 @ Y5 )
& ( Y1 @ Y3 @ Y6 @ Y7 ) )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( Y1 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y3 @ Y5 @ Y6 )
=> ( Y1 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y5 @ Y7 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y4 @ Y6 ) @ ( Y3 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o,X1: a > b > b > $o,X2: a > a > $o] :
( ( ! [X3: a,X4: a] :
( ( X2 @ X4 @ X3 )
=> ( X2 @ X3 @ X4 ) )
& ( X0 = X2 )
& ! [X5: a,X6: a,X7: a] :
( ( ( X2 @ X5 @ X7 )
& ( X2 @ X7 @ X6 ) )
=> ( X2 @ X5 @ X6 ) ) )
=> ( ! [X8: a,X9: a] :
( ( X2 @ X9 @ X8 )
=> ( ! [X10: b,X11: b] :
( ( X1 @ X9 @ X11 @ X10 )
=> ( X1 @ X9 @ X10 @ X11 ) )
& ( ( X1 @ X9 )
= ( X1 @ X8 ) )
& ! [X12: b,X13: b,X14: b] :
( ( ( X1 @ X9 @ X13 @ X12 )
& ( X1 @ X9 @ X12 @ X14 ) )
=> ( X1 @ X9 @ X13 @ X14 ) ) ) )
=> ( ! [X15: a > b,X16: a > b,X17: a > b] :
( ( ! [X18: a,X19: a] :
( ( X2 @ X18 @ X19 )
=> ( X1 @ X18 @ ( X15 @ X18 ) @ ( X17 @ X19 ) ) )
& ! [X20: a,X21: a] :
( ( X2 @ X20 @ X21 )
=> ( X1 @ X20 @ ( X16 @ X20 ) @ ( X15 @ X21 ) ) ) )
=> ! [X22: a,X23: a] :
( ( X2 @ X23 @ X22 )
=> ( X1 @ X23 @ ( X16 @ X23 ) @ ( X17 @ X22 ) ) ) )
& ! [X24: a > b,X25: a > b] :
( ! [X26: a,X27: a] :
( ( X2 @ X27 @ X26 )
=> ( X1 @ X27 @ ( X24 @ X27 ) @ ( X25 @ X26 ) ) )
=> ! [X28: a,X29: a] :
( ( X2 @ X29 @ X28 )
=> ( X1 @ X29 @ ( X25 @ X29 ) @ ( X24 @ X28 ) ) ) )
& ( ( ^ [X30: a > b,X31: a > b] :
! [X32: a,X33: a] :
( ( X2 @ X33 @ X32 )
=> ( X1 @ X33 @ ( X30 @ X33 ) @ ( X31 @ X32 ) ) ) )
= ( ^ [X34: a > b,X35: a > b] :
! [X36: a,X37: a] :
( ( X0 @ X36 @ X37 )
=> ( X1 @ X36 @ ( X34 @ X36 ) @ ( X35 @ X37 ) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > b > b > $o,X0: a > a > $o] :
( ( ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( X0 @ X4 @ X3 ) )
& ( X0 = X1 )
& ! [X3: a,X5: a,X4: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X3 @ X5 ) ) )
=> ( ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( ! [X7: b,X6: b] :
( ( X2 @ X3 @ X6 @ X7 )
=> ( X2 @ X3 @ X7 @ X6 ) )
& ( ( X2 @ X3 )
= ( X2 @ X4 ) )
& ! [X7: b,X6: b,X5: b] :
( ( ( X2 @ X3 @ X6 @ X7 )
& ( X2 @ X3 @ X7 @ X5 ) )
=> ( X2 @ X3 @ X6 @ X5 ) ) ) )
=> ( ! [X4: a > b,X3: a > b,X5: a > b] :
( ( ! [X6: a,X7: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X4 @ X6 ) @ ( X5 @ X7 ) ) )
& ! [X6: a,X7: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X4 @ X7 ) ) ) )
=> ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X5 @ X7 ) ) ) )
& ! [X3: a > b,X4: a > b] :
( ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X4 @ X7 ) ) )
=> ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X4 @ X6 ) @ ( X3 @ X7 ) ) ) )
& ( ( ^ [X8: a > b,X9: a > b] :
! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( X2 @ X3 @ ( X8 @ X3 ) @ ( X9 @ X4 ) ) ) )
= ( ^ [X8: a > b,X9: a > b] :
! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ ( X8 @ X3 ) @ ( X9 @ X4 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a > a > $o,X2: a > b > b > $o,X0: a > a > $o] :
( ( ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( X0 @ X4 @ X3 ) )
& ( X0 = X1 )
& ! [X3: a,X5: a,X4: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X3 @ X5 ) ) )
=> ( ! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( ! [X7: b,X6: b] :
( ( X2 @ X3 @ X6 @ X7 )
=> ( X2 @ X3 @ X7 @ X6 ) )
& ( ( X2 @ X3 )
= ( X2 @ X4 ) )
& ! [X7: b,X6: b,X5: b] :
( ( ( X2 @ X3 @ X6 @ X7 )
& ( X2 @ X3 @ X7 @ X5 ) )
=> ( X2 @ X3 @ X6 @ X5 ) ) ) )
=> ( ! [X4: a > b,X3: a > b,X5: a > b] :
( ( ! [X6: a,X7: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X4 @ X6 ) @ ( X5 @ X7 ) ) )
& ! [X6: a,X7: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X4 @ X7 ) ) ) )
=> ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X5 @ X7 ) ) ) )
& ! [X3: a > b,X4: a > b] :
( ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X3 @ X6 ) @ ( X4 @ X7 ) ) )
=> ! [X7: a,X6: a] :
( ( X0 @ X6 @ X7 )
=> ( X2 @ X6 @ ( X4 @ X6 ) @ ( X3 @ X7 ) ) ) )
& ( ( ^ [X8: a > b,X9: a > b] :
! [X4: a,X3: a] :
( ( X0 @ X3 @ X4 )
=> ( X2 @ X3 @ ( X8 @ X3 ) @ ( X9 @ X4 ) ) ) )
= ( ^ [X8: a > b,X9: a > b] :
! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ ( X8 @ X3 ) @ ( X9 @ X4 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.sdUuTwVzgY/Vampire---4.8_25545',cTHM516_pme) ).
thf(f1459,plain,
( ( $false
= ( ( sK2 @ sK11 @ sK13 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f1458]) ).
thf(f1458,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK11 @ Y0 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ Y0 ) ) )
@ sK13 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f1434]) ).
thf(f1434,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK11 @ Y0 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f1433]) ).
thf(f1433,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) )
@ sK11 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f85]) ).
thf(f85,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl0_5
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f1396,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
thf(f1395,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1394]) ).
thf(f1394,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1393,f1351]) ).
thf(f1351,plain,
( ( $false
= ( sK3 @ sK24 @ ( sK5 @ sK24 ) @ ( sK6 @ sK22 ) ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f1328]) ).
thf(f1328,plain,
( ( $false
= ( ( sK2 @ sK24 @ sK22 )
=> ( sK3 @ sK24 @ ( sK5 @ sK24 ) @ ( sK6 @ sK22 ) ) ) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1327,f64]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( ( sK2 @ X1 @ X2 )
= ( sK4 @ X1 @ X2 ) ),
inference(argument_congruence,[],[f63]) ).
thf(f63,plain,
! [X1: a] :
( ( sK4 @ X1 )
= ( sK2 @ X1 ) ),
inference(argument_congruence,[],[f60]) ).
thf(f60,plain,
sK2 = sK4,
inference(equality_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( sK4 = sK2 )
= $true ),
inference(boolean_simplification,[],[f56]) ).
thf(f56,plain,
( ( $true
& ( sK4 = sK2 ) )
= $true ),
inference(backward_demodulation,[],[f23,f55]) ).
thf(f55,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( sK4 = sK2 ) )
= $true ),
inference(boolean_simplification,[],[f22]) ).
thf(f22,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) ) )
& ( sK4 = sK2 )
& $true )
= $true ),
inference(backward_demodulation,[],[f17,f20]) ).
thf(f1327,plain,
( ( ( ( sK4 @ sK24 @ sK22 )
=> ( sK3 @ sK24 @ ( sK5 @ sK24 ) @ ( sK6 @ sK22 ) ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f1326]) ).
thf(f1326,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ Y0 @ sK22 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ sK22 ) ) )
@ sK24 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f1323]) ).
thf(f1323,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 @ sK22 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ sK22 ) ) ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f1322]) ).
thf(f1322,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) )
@ sK22 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f88]) ).
thf(f88,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f87,plain,
( spl0_6
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f1393,plain,
( ( ( sK3 @ sK24 @ ( sK5 @ sK24 ) @ ( sK6 @ sK22 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f1389]) ).
thf(f1389,plain,
( ( ( $true
=> ( sK3 @ sK24 @ ( sK5 @ sK24 ) @ ( sK6 @ sK22 ) ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1374,f1352]) ).
thf(f1352,plain,
( ( ( sK2 @ sK24 @ sK22 )
= $true )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f1328]) ).
thf(f1374,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK3 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ X2 ) ) )
= $true )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f1373]) ).
thf(f1373,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_7 ),
inference(pi_clausification,[],[f1360]) ).
thf(f1360,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f1359]) ).
thf(f1359,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_7 ),
inference(pi_clausification,[],[f92]) ).
thf(f92,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f91,plain,
( spl0_7
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f1319,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1316,f367,f94,f370]) ).
thf(f94,plain,
( spl0_8
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f367,plain,
( spl0_9
<=> ( ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f1316,plain,
( ( $false
= ( sK2 @ sK13 @ sK11 ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1315]) ).
thf(f1315,plain,
( ( $false
= ( sK2 @ sK13 @ sK11 ) )
| ( $false = $true )
| ~ spl0_8
| ~ spl0_9 ),
inference(boolean_simplification,[],[f1314]) ).
thf(f1314,plain,
( ( $false
= ( sK2 @ sK13 @ sK11 ) )
| ( ~ $true = $true )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1311,f52]) ).
thf(f1311,plain,
( ( $true
= ( ~ ( sK2 @ sK11 @ sK13 ) ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(boolean_simplification,[],[f1310]) ).
thf(f1310,plain,
( ( ( ( sK2 @ sK11 @ sK13 )
=> $false )
= $true )
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f387,f368]) ).
thf(f368,plain,
( ( ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) )
= $false )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f387,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK3 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) ) )
= $true )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f386,f64]) ).
thf(f386,plain,
( ! [X2: a,X1: a] :
( ( ( sK4 @ X2 @ X1 )
=> ( sK3 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) ) )
= $true )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f385]) ).
thf(f385,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_8 ),
inference(pi_clausification,[],[f382]) ).
thf(f382,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) ) )
= $true )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f381]) ).
thf(f381,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) )
@ X1 ) )
| ~ spl0_8 ),
inference(pi_clausification,[],[f95]) ).
thf(f95,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f1309,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
thf(f1308,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1307]) ).
thf(f1307,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f95,f88]) ).
thf(f1301,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1300]) ).
thf(f1300,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f1299]) ).
thf(f1299,plain,
( ( $false = $true )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1286,f799]) ).
thf(f799,plain,
( ( ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK16 @ sK18 ) )
= $false )
| ~ spl0_1 ),
inference(not_proxy_clausification,[],[f710]) ).
thf(f710,plain,
( ( ( ~ ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK16 @ sK18 ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f689]) ).
thf(f689,plain,
( ( ( ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK16 @ sK18 ) )
=> $false )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f684,f415]) ).
thf(f415,plain,
( ( ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK15 @ sK20 ) )
= $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f414]) ).
thf(f414,plain,
( ( ( $true
=> ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK15 @ sK20 ) ) )
= $false )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f406,f411]) ).
thf(f411,plain,
( ( $true
= ( sK2 @ sK18 @ sK20 ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f406]) ).
thf(f406,plain,
( ( ( ( sK2 @ sK18 @ sK20 )
=> ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK15 @ sK20 ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f405]) ).
thf(f405,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK18 @ Y0 )
=> ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK15 @ Y0 ) ) )
@ sK20 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f402]) ).
thf(f402,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK18 @ Y0 )
=> ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK15 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f401]) ).
thf(f401,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK16 @ Y0 ) @ ( sK15 @ Y1 ) ) ) )
@ sK18 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f393]) ).
thf(f393,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK16 @ Y0 ) @ ( sK15 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f389]) ).
thf(f389,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK17 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK17 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK16 @ Y0 ) @ ( sK15 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f388]) ).
thf(f388,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK16 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK15 @ Y2 ) ) ) ) ) )
@ sK17 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f384]) ).
thf(f384,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK16 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK15 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f383]) ).
thf(f383,plain,
( ( ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( sK15 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y3 ) ) ) ) ) ) )
@ sK16 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f380]) ).
thf(f380,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( sK15 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y3 ) ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f379]) ).
thf(f379,plain,
( ( ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) )
@ sK15 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f33]) ).
thf(f33,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 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f32,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 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f684,plain,
( ! [X2: b,X1: b] :
( ( ( sK3 @ sK18 @ X1 @ X2 )
=> ( sK3 @ sK18 @ X2 @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f683]) ).
thf(f683,plain,
( ! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( ( sK3 @ sK18 @ X1 @ Y0 )
=> ( sK3 @ sK18 @ Y0 @ X1 ) )
@ X2 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f678]) ).
thf(f678,plain,
( ! [X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( sK3 @ sK18 @ X1 @ Y0 )
=> ( sK3 @ sK18 @ Y0 @ X1 ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f675]) ).
thf(f675,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f592]) ).
thf(f592,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f428]) ).
thf(f428,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f422]) ).
thf(f422,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f74,f411]) ).
thf(f74,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ X1 @ Y2 @ Y0 )
& ( sK3 @ X1 @ Y1 @ Y2 ) )
=> ( sK3 @ X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ X1 )
= ( sK3 @ X2 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ X1 @ Y0 @ Y1 )
=> ( sK3 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK3 @ X1 @ Y3 @ Y1 )
& ( sK3 @ X1 @ Y2 @ Y3 ) )
=> ( sK3 @ X1 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK3 @ X1 )
= ( sK3 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK3 @ X1 @ Y1 @ Y2 )
=> ( sK3 @ X1 @ Y2 @ Y1 ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f70]) ).
thf(f70,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK3 @ X1 @ Y3 @ Y1 )
& ( sK3 @ X1 @ Y2 @ Y3 ) )
=> ( sK3 @ X1 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK3 @ X1 )
= ( sK3 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK3 @ X1 @ Y1 @ Y2 )
=> ( sK3 @ X1 @ Y2 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK3 @ Y0 @ Y4 @ Y2 )
& ( sK3 @ Y0 @ Y3 @ Y4 ) )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK3 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK3 @ Y0 @ Y2 @ Y3 )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f25]) ).
thf(f25,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK3 @ Y0 @ Y4 @ Y2 )
& ( sK3 @ Y0 @ Y3 @ Y4 ) )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK3 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK3 @ Y0 @ Y2 @ Y3 )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK3 @ Y0 @ Y4 @ Y2 )
& ( sK3 @ Y0 @ Y3 @ Y4 ) )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK3 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK3 @ Y0 @ Y2 @ Y3 )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
( $false
= ( $true
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK3 @ Y0 @ Y4 @ Y2 )
& ( sK3 @ Y0 @ Y3 @ Y4 ) )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK3 @ Y0 )
= ( sK3 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK3 @ Y0 @ Y2 @ Y3 )
=> ( sK3 @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f15,f17]) ).
thf(f1286,plain,
( ( ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK16 @ sK18 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f1281]) ).
thf(f1281,plain,
( ( ( $true
=> ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK16 @ sK18 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f961,f884]) ).
thf(f884,plain,
( ( ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK19 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f882]) ).
thf(f882,plain,
( ( ( $true
=> ( sK3 @ sK18 @ ( sK15 @ sK20 ) @ ( sK19 @ sK20 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f684,f811]) ).
thf(f811,plain,
( ( ( sK3 @ sK18 @ ( sK19 @ sK20 ) @ ( sK15 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f657,f523]) ).
thf(f523,plain,
( ( $true
= ( sK3 @ sK20 @ ( sK19 @ sK20 ) @ ( sK15 @ sK20 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f515]) ).
thf(f515,plain,
( ( ( $true
=> ( sK3 @ sK20 @ ( sK19 @ sK20 ) @ ( sK15 @ sK20 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f466,f496]) ).
thf(f496,plain,
( ( $true
= ( sK2 @ sK20 @ sK20 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f493]) ).
thf(f493,plain,
( ( ( $true
=> ( sK2 @ sK20 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f427,f431]) ).
thf(f431,plain,
( ( $true
= ( sK2 @ sK20 @ sK18 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f421]) ).
thf(f421,plain,
( ( ( $true
=> ( sK2 @ sK20 @ sK18 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f41,f411]) ).
thf(f427,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 @ sK18 )
=> ( sK2 @ X0 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f424]) ).
thf(f424,plain,
( ! [X0: a] :
( ( ( $true
& ( sK2 @ X0 @ sK18 ) )
=> ( sK2 @ X0 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f79,f411]) ).
thf(f79,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK2 @ X1 @ X2 )
& ( sK2 @ X3 @ X1 ) )
=> ( sK2 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f78]) ).
thf(f78,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK2 @ X1 @ X2 )
& ( sK2 @ Y0 @ X1 ) )
=> ( sK2 @ Y0 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f76]) ).
thf(f76,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ X1 @ X2 )
& ( sK2 @ Y0 @ X1 ) )
=> ( sK2 @ Y0 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ X1 @ Y0 )
& ( sK2 @ Y1 @ X1 ) )
=> ( sK2 @ Y1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f72]) ).
thf(f72,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ X1 @ Y0 )
& ( sK2 @ Y1 @ X1 ) )
=> ( sK2 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y2 @ Y0 ) )
=> ( sK2 @ Y2 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f55]) ).
thf(f466,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK3 @ X2 @ ( sK19 @ X2 ) @ ( sK15 @ X1 ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f465]) ).
thf(f465,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK19 @ Y0 ) @ ( sK15 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f462]) ).
thf(f462,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK19 @ Y0 ) @ ( sK15 @ X1 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f461]) ).
thf(f461,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK19 @ Y1 ) @ ( sK15 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f416]) ).
thf(f416,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK19 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f407]) ).
thf(f407,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK19 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK19 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(not_proxy_clausification,[],[f404]) ).
thf(f404,plain,
( ( $false
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK19 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK19 @ Y1 ) @ ( sK15 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f403]) ).
thf(f403,plain,
( ( ( ^ [Y0: a > b] :
~ ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK16 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) )
@ sK19 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f397]) ).
thf(f397,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
~ ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK16 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f396]) ).
thf(f396,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK16 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( sK15 @ Y1 ) ) ) ) ) )
=> $false ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f384,f393]) ).
thf(f657,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK18 @ X1 @ X2 )
= ( sK3 @ sK20 @ X1 @ X2 ) )
| ~ spl0_1 ),
inference(argument_congruence,[],[f620]) ).
thf(f620,plain,
( ! [X1: b] :
( ( sK3 @ sK20 @ X1 )
= ( sK3 @ sK18 @ X1 ) )
| ~ spl0_1 ),
inference(argument_congruence,[],[f606]) ).
thf(f606,plain,
( ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) )
| ~ spl0_1 ),
inference(equality_proxy_clausification,[],[f601]) ).
thf(f601,plain,
( ( ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f600]) ).
thf(f600,plain,
( ( ( $true
& ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) ) )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f599,f598]) ).
thf(f598,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f596]) ).
thf(f596,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f577,f592]) ).
thf(f577,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f576]) ).
thf(f576,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f575]) ).
thf(f575,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK18 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f566]) ).
thf(f566,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK18 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK18 @ Y0 @ Y1 )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f74,f557]) ).
thf(f557,plain,
( ( ( sK2 @ sK18 @ sK18 )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f555]) ).
thf(f555,plain,
( ( $true
= ( $true
=> ( sK2 @ sK18 @ sK18 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f432,f431]) ).
thf(f432,plain,
( ! [X0: a] :
( ( ( sK2 @ sK20 @ X0 )
=> ( sK2 @ sK18 @ X0 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f425]) ).
thf(f425,plain,
( ! [X0: a] :
( ( ( ( sK2 @ sK20 @ X0 )
& $true )
=> ( sK2 @ sK18 @ X0 ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f79,f411]) ).
thf(f599,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f597]) ).
thf(f597,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK18 )
= ( sK3 @ sK20 ) )
& $true )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f428,f592]) ).
thf(f961,plain,
( ! [X0: b] :
( ( ( sK3 @ sK18 @ X0 @ ( sK19 @ sK20 ) )
=> ( sK3 @ sK18 @ X0 @ ( sK16 @ sK18 ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f953]) ).
thf(f953,plain,
( ! [X0: b] :
( ( ( $true
& ( sK3 @ sK18 @ X0 @ ( sK19 @ sK20 ) ) )
=> ( sK3 @ sK18 @ X0 @ ( sK16 @ sK18 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f881,f706]) ).
thf(f706,plain,
( ( ( sK3 @ sK18 @ ( sK19 @ sK20 ) @ ( sK16 @ sK18 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f697]) ).
thf(f697,plain,
( ( ( $true
=> ( sK3 @ sK18 @ ( sK19 @ sK20 ) @ ( sK16 @ sK18 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f684,f457]) ).
thf(f457,plain,
( ( ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK19 @ sK20 ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f455]) ).
thf(f455,plain,
( ( ( $true
=> ( sK3 @ sK18 @ ( sK16 @ sK18 ) @ ( sK19 @ sK20 ) ) )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f451,f411]) ).
thf(f451,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ X1 )
=> ( sK3 @ X2 @ ( sK16 @ X2 ) @ ( sK19 @ X1 ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f450]) ).
thf(f450,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK16 @ Y0 ) @ ( sK19 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f435]) ).
thf(f435,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK3 @ Y0 @ ( sK16 @ Y0 ) @ ( sK19 @ X1 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f434]) ).
thf(f434,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK19 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f419]) ).
thf(f419,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK19 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f418]) ).
thf(f418,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK16 @ Y1 ) @ ( sK19 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f407,f416]) ).
thf(f881,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ( ( sK3 @ sK18 @ X3 @ X1 )
& ( sK3 @ sK18 @ X2 @ X3 ) )
=> ( sK3 @ sK18 @ X2 @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f880]) ).
thf(f880,plain,
( ! [X2: b,X3: b,X1: b] :
( ( ^ [Y0: b] :
( ( ( sK3 @ sK18 @ Y0 @ X1 )
& ( sK3 @ sK18 @ X2 @ Y0 ) )
=> ( sK3 @ sK18 @ X2 @ X1 ) )
@ X3 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f875]) ).
thf(f875,plain,
( ! [X2: b,X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( ( sK3 @ sK18 @ Y0 @ X1 )
& ( sK3 @ sK18 @ X2 @ Y0 ) )
=> ( sK3 @ sK18 @ X2 @ X1 ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f874]) ).
thf(f874,plain,
( ! [X2: b,X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK3 @ sK18 @ Y1 @ X1 )
& ( sK3 @ sK18 @ Y0 @ Y1 ) )
=> ( sK3 @ sK18 @ Y0 @ X1 ) ) )
@ X2 ) )
| ~ spl0_1 ),
inference(pi_clausification,[],[f861]) ).
thf(f861,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK3 @ sK18 @ Y1 @ X1 )
& ( sK3 @ sK18 @ Y0 @ Y1 ) )
=> ( sK3 @ sK18 @ Y0 @ X1 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f858]) ).
thf(f858,plain,
( ! [X1: b] :
( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK18 @ Y2 @ Y0 )
& ( sK3 @ sK18 @ Y1 @ Y2 ) )
=> ( sK3 @ sK18 @ Y1 @ Y0 ) ) ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[],[f598]) ).
thf(f376,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f362,f84,f367]) ).
thf(f362,plain,
( ( ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) )
= $false )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f359]) ).
thf(f359,plain,
( ( $false
= ( ( sK2 @ sK11 @ sK13 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ sK13 ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f358]) ).
thf(f358,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK11 @ Y0 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ Y0 ) ) )
@ sK13 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f355]) ).
thf(f355,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK11 @ Y0 )
=> ( sK3 @ sK11 @ ( sK5 @ sK11 ) @ ( sK6 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f354]) ).
thf(f354,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) )
@ sK11 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f85]) ).
thf(f339,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f338]) ).
thf(f338,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f337]) ).
thf(f337,plain,
( ( $false = $true )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f92,f85]) ).
thf(f334,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f333]) ).
thf(f333,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f332,plain,
( ( $false = $true )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f325,f256]) ).
thf(f256,plain,
( ( ( sK3 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) )
= $false )
| ~ spl0_4 ),
inference(not_proxy_clausification,[],[f247]) ).
thf(f247,plain,
( ( ( ~ ( sK3 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f240]) ).
thf(f240,plain,
( ( ( ( sK3 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) )
=> $false )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f229,f111]) ).
thf(f111,plain,
( ( $false
= ( sK3 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ sK10 ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f110]) ).
thf(f110,plain,
( ( ( ( sK2 @ sK9 @ sK10 )
=> ( sK3 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ sK10 ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f109]) ).
thf(f109,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK9 @ Y0 )
=> ( sK3 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ Y0 ) ) )
@ sK10 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f108]) ).
thf(f108,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK9 @ Y0 )
=> ( sK3 @ sK9 @ ( sK7 @ sK9 ) @ ( sK8 @ Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f107]) ).
thf(f107,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) )
@ sK9 )
= $false )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f106]) ).
thf(f106,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f105]) ).
thf(f105,plain,
( ( $false
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f102,f104]) ).
thf(f104,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK8 @ Y0 ) @ ( sK7 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f102]) ).
thf(f102,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK8 @ Y0 ) @ ( sK7 @ Y1 ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK7 @ Y0 ) @ ( sK8 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f101]) ).
thf(f101,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( Y0 @ Y1 ) @ ( sK7 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK7 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f100]) ).
thf(f100,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( Y0 @ Y1 ) @ ( sK7 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK7 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f99]) ).
thf(f99,plain,
( ( ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
@ sK7 )
= $false )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f48]) ).
thf(f48,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f47,plain,
( spl0_4
<=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f229,plain,
( ! [X2: b,X1: b] :
( ( ( sK3 @ sK9 @ X1 @ X2 )
=> ( sK3 @ sK9 @ X2 @ X1 ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f228]) ).
thf(f228,plain,
( ! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( ( sK3 @ sK9 @ X1 @ Y0 )
=> ( sK3 @ sK9 @ Y0 @ X1 ) )
@ X2 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f223]) ).
thf(f223,plain,
( ! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( ( sK3 @ sK9 @ X1 @ Y0 )
=> ( sK3 @ sK9 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f220]) ).
thf(f220,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) )
@ X1 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f213]) ).
thf(f213,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f212]) ).
thf(f212,plain,
( ( $true
= ( $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f124,f209]) ).
thf(f209,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK9 )
= ( sK3 @ sK10 ) ) )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f124,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK9 )
= ( sK3 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f120]) ).
thf(f120,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK9 )
= ( sK3 @ sK10 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f74,f112]) ).
thf(f112,plain,
( ( ( sK2 @ sK9 @ sK10 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f110]) ).
thf(f325,plain,
( ( ( sK3 @ sK9 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f310,f181]) ).
thf(f181,plain,
( ( $true
= ( sK3 @ sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f176]) ).
thf(f176,plain,
( ( ( $true
=> ( sK3 @ sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK9 ) ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f167,f126]) ).
thf(f126,plain,
( ( ( sK2 @ sK10 @ sK9 )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f121]) ).
thf(f121,plain,
( ( ( $true
=> ( sK2 @ sK10 @ sK9 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f41,f112]) ).
thf(f167,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ X2 )
=> ( sK3 @ X1 @ ( sK8 @ X1 ) @ ( sK7 @ X2 ) ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f166]) ).
thf(f166,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK8 @ X1 ) @ ( sK7 @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f147]) ).
thf(f147,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ X1 @ Y0 )
=> ( sK3 @ X1 @ ( sK8 @ X1 ) @ ( sK7 @ Y0 ) ) ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f146]) ).
thf(f146,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK8 @ Y0 ) @ ( sK7 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f104]) ).
thf(f310,plain,
( ! [X2: b,X1: b] :
( ( sK3 @ sK9 @ X1 @ X2 )
= ( sK3 @ sK10 @ X1 @ X2 ) )
| ~ spl0_4 ),
inference(argument_congruence,[],[f279]) ).
thf(f279,plain,
( ! [X1: b] :
( ( sK3 @ sK9 @ X1 )
= ( sK3 @ sK10 @ X1 ) )
| ~ spl0_4 ),
inference(argument_congruence,[],[f265]) ).
thf(f265,plain,
( ( ( sK3 @ sK10 )
= ( sK3 @ sK9 ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f217]) ).
thf(f217,plain,
( ( ( ( sK3 @ sK9 )
= ( sK3 @ sK10 ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f216]) ).
thf(f216,plain,
( ( $true
= ( $true
& ( ( sK3 @ sK9 )
= ( sK3 @ sK10 ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f209,f215]) ).
thf(f215,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f214]) ).
thf(f214,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& $true )
= $true )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f197,f213]) ).
thf(f197,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f196]) ).
thf(f196,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& $true
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f195]) ).
thf(f195,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK9 )
= ( sK3 @ sK9 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f186]) ).
thf(f186,plain,
( ( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK3 @ sK9 @ Y2 @ Y0 )
& ( sK3 @ sK9 @ Y1 @ Y2 ) )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK3 @ sK9 )
= ( sK3 @ sK9 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK3 @ sK9 @ Y0 @ Y1 )
=> ( sK3 @ sK9 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f74,f172]) ).
thf(f172,plain,
( ( ( sK2 @ sK9 @ sK9 )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f170]) ).
thf(f170,plain,
( ( ( $true
=> ( sK2 @ sK9 @ sK9 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f128,f126]) ).
thf(f128,plain,
( ! [X0: a] :
( ( ( sK2 @ sK10 @ X0 )
=> ( sK2 @ sK9 @ X0 ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f118]) ).
thf(f118,plain,
( ! [X0: a] :
( ( ( ( sK2 @ sK10 @ X0 )
& $true )
=> ( sK2 @ sK9 @ X0 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f79,f112]) ).
thf(f96,plain,
( spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f81,f44,f94,f91]) ).
thf(f44,plain,
( spl0_3
<=> ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f81,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f66,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK6 )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK5 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
@ sK6 ) )
| ~ spl0_3 ),
inference(negative_extensionality,[],[f59]) ).
thf(f59,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( sK3 @ Y2 @ ( sK5 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
@ sK5 )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK5 ) )
| ~ spl0_3 ),
inference(negative_extensionality,[],[f53]) ).
thf(f53,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f89,plain,
( spl0_5
| spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f82,f44,f87,f84]) ).
thf(f82,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK3 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK3 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f49,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f42,f35,f47,f44]) ).
thf(f35,plain,
( spl0_2
<=> ( ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f42,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
thf(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f35,f32]) ).
thf(f30,plain,
( ( ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $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 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f26]) ).
thf(f26,plain,
( ( $true
=> ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( sK3 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y2 @ Y3 )
=> ( sK3 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( sK3 @ Y4 @ ( Y2 @ Y4 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y3 @ Y4 )
=> ( sK3 @ Y3 @ ( Y1 @ Y3 ) @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f19,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV037^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 12:26:52 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 This is a TH0_THM_EQU_NAR problem
% 0.21/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sdUuTwVzgY/Vampire---4.8_25545
% 0.21/0.38 % (25690)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38 % (25694)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (25697)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.38 % (25693)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (25696)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.38 % (25695)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.38 % (25691)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 Vampire---4 for (2999ds/4Mi)
% 0.21/0.38 % (25693)Instruction limit reached!
% 0.21/0.38 % (25693)------------------------------
% 0.21/0.38 % (25693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (25693)Termination reason: Unknown
% 0.21/0.38 % (25693)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (25694)Instruction limit reached!
% 0.21/0.38 % (25694)------------------------------
% 0.21/0.38 % (25694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (25693)Memory used [KB]: 1023
% 0.21/0.38 % (25693)Time elapsed: 0.003 s
% 0.21/0.38 % (25693)Instructions burned: 2 (million)
% 0.21/0.38 % (25693)------------------------------
% 0.21/0.38 % (25693)------------------------------
% 0.21/0.38 % (25694)Termination reason: Unknown
% 0.21/0.38 % (25694)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (25694)Memory used [KB]: 1023
% 0.21/0.38 % (25694)Time elapsed: 0.003 s
% 0.21/0.38 % (25694)Instructions burned: 3 (million)
% 0.21/0.38 % (25697)Instruction limit reached!
% 0.21/0.38 % (25697)------------------------------
% 0.21/0.38 % (25697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (25697)Termination reason: Unknown
% 0.21/0.38 % (25697)Termination phase: Naming
% 0.21/0.38
% 0.21/0.38 % (25697)Memory used [KB]: 1023
% 0.21/0.38 % (25697)Time elapsed: 0.003 s
% 0.21/0.38 % (25697)Instructions burned: 3 (million)
% 0.21/0.38 % (25697)------------------------------
% 0.21/0.38 % (25697)------------------------------
% 0.21/0.38 % (25694)------------------------------
% 0.21/0.38 % (25694)------------------------------
% 0.21/0.38 % (25692)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 Vampire---4 for (2999ds/27Mi)
% 0.21/0.38 % (25691)Instruction limit reached!
% 0.21/0.38 % (25691)------------------------------
% 0.21/0.38 % (25691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (25691)Termination reason: Unknown
% 0.21/0.38 % (25691)Termination phase: Preprocessing 3
% 0.21/0.38
% 0.21/0.38 % (25691)Memory used [KB]: 1023
% 0.21/0.38 % (25691)Time elapsed: 0.004 s
% 0.21/0.38 % (25691)Instructions burned: 4 (million)
% 0.21/0.38 % (25691)------------------------------
% 0.21/0.38 % (25691)------------------------------
% 0.21/0.39 % (25696)Instruction limit reached!
% 0.21/0.39 % (25696)------------------------------
% 0.21/0.39 % (25696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (25696)Termination reason: Unknown
% 0.21/0.39 % (25696)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (25696)Memory used [KB]: 5628
% 0.21/0.39 % (25696)Time elapsed: 0.014 s
% 0.21/0.39 % (25696)Instructions burned: 18 (million)
% 0.21/0.39 % (25696)------------------------------
% 0.21/0.39 % (25696)------------------------------
% 0.21/0.40 % (25703)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.40 % (25702)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.40 % (25706)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.40 % (25704)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (25704)Instruction limit reached!
% 0.21/0.40 % (25704)------------------------------
% 0.21/0.40 % (25704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (25704)Termination reason: Unknown
% 0.21/0.40 % (25704)Termination phase: Preprocessing 3
% 0.21/0.40
% 0.21/0.40 % (25704)Memory used [KB]: 1023
% 0.21/0.40 % (25704)Time elapsed: 0.004 s
% 0.21/0.40 % (25704)Instructions burned: 3 (million)
% 0.21/0.40 % (25704)------------------------------
% 0.21/0.40 % (25704)------------------------------
% 0.21/0.41 % (25692)Instruction limit reached!
% 0.21/0.41 % (25692)------------------------------
% 0.21/0.41 % (25692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (25692)Termination reason: Unknown
% 0.21/0.41 % (25692)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (25692)Memory used [KB]: 5756
% 0.21/0.41 % (25692)Time elapsed: 0.025 s
% 0.21/0.41 % (25692)Instructions burned: 27 (million)
% 0.21/0.41 % (25692)------------------------------
% 0.21/0.41 % (25692)------------------------------
% 0.21/0.41 % (25703)Instruction limit reached!
% 0.21/0.41 % (25703)------------------------------
% 0.21/0.41 % (25703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (25703)Termination reason: Unknown
% 0.21/0.41 % (25703)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (25703)Memory used [KB]: 5628
% 0.21/0.41 % (25703)Time elapsed: 0.012 s
% 0.21/0.41 % (25703)Instructions burned: 16 (million)
% 0.21/0.41 % (25703)------------------------------
% 0.21/0.41 % (25703)------------------------------
% 0.21/0.41 % (25708)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41 % (25708)Instruction limit reached!
% 0.21/0.41 % (25708)------------------------------
% 0.21/0.41 % (25708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (25708)Termination reason: Unknown
% 0.21/0.41 % (25708)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (25708)Memory used [KB]: 1023
% 0.21/0.41 % (25708)Time elapsed: 0.007 s
% 0.21/0.41 % (25708)Instructions burned: 7 (million)
% 0.21/0.41 % (25708)------------------------------
% 0.21/0.41 % (25708)------------------------------
% 0.21/0.42 % (25710)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.42 % (25702)Instruction limit reached!
% 0.21/0.42 % (25702)------------------------------
% 0.21/0.42 % (25702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (25702)Termination reason: Unknown
% 0.21/0.42 % (25702)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (25702)Memory used [KB]: 5628
% 0.21/0.42 % (25702)Time elapsed: 0.022 s
% 0.21/0.42 % (25702)Instructions burned: 37 (million)
% 0.21/0.42 % (25702)------------------------------
% 0.21/0.42 % (25702)------------------------------
% 0.21/0.42 % (25712)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (25713)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (25713)Instruction limit reached!
% 0.21/0.42 % (25713)------------------------------
% 0.21/0.42 % (25713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (25713)Termination reason: Unknown
% 0.21/0.42 % (25713)Termination phase: Naming
% 0.21/0.42 % (25712)Instruction limit reached!
% 0.21/0.42 % (25712)------------------------------
% 0.21/0.42 % (25712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (25712)Termination reason: Unknown
% 0.21/0.42 % (25712)Termination phase: Preprocessing 3
% 0.21/0.42
% 0.21/0.42 % (25712)Memory used [KB]: 1023
% 0.21/0.42 % (25712)Time elapsed: 0.004 s
% 0.21/0.42 % (25712)Instructions burned: 3 (million)
% 0.21/0.42 % (25712)------------------------------
% 0.21/0.42 % (25712)------------------------------
% 0.21/0.42
% 0.21/0.42 % (25713)Memory used [KB]: 1023
% 0.21/0.42 % (25713)Time elapsed: 0.003 s
% 0.21/0.42 % (25713)Instructions burned: 3 (million)
% 0.21/0.42 % (25713)------------------------------
% 0.21/0.42 % (25713)------------------------------
% 0.21/0.43 % (25710)Instruction limit reached!
% 0.21/0.43 % (25710)------------------------------
% 0.21/0.43 % (25710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (25710)Termination reason: Unknown
% 0.21/0.43 % (25710)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (25710)Memory used [KB]: 5756
% 0.21/0.43 % (25710)Time elapsed: 0.012 s
% 0.21/0.43 % (25710)Instructions burned: 16 (million)
% 0.21/0.43 % (25710)------------------------------
% 0.21/0.43 % (25710)------------------------------
% 0.21/0.43 % (25717)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.43 % (25717)Instruction limit reached!
% 0.21/0.43 % (25717)------------------------------
% 0.21/0.43 % (25717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (25717)Termination reason: Unknown
% 0.21/0.43 % (25717)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (25717)Memory used [KB]: 5500
% 0.21/0.43 % (25717)Time elapsed: 0.006 s
% 0.21/0.43 % (25717)Instructions burned: 7 (million)
% 0.21/0.43 % (25717)------------------------------
% 0.21/0.43 % (25717)------------------------------
% 0.21/0.44 % (25718)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.44 % (25724)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.44 % (25718)Instruction limit reached!
% 0.21/0.44 % (25718)------------------------------
% 0.21/0.44 % (25718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (25718)Termination reason: Unknown
% 0.21/0.44 % (25718)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (25718)Memory used [KB]: 1023
% 0.21/0.44 % (25718)Time elapsed: 0.004 s
% 0.21/0.44 % (25718)Instructions burned: 4 (million)
% 0.21/0.44 % (25718)------------------------------
% 0.21/0.44 % (25718)------------------------------
% 0.21/0.45 % (25726)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.45 % (25722)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.45 % (25724)Instruction limit reached!
% 0.21/0.45 % (25724)------------------------------
% 0.21/0.45 % (25724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (25722)Instruction limit reached!
% 0.21/0.45 % (25722)------------------------------
% 0.21/0.45 % (25722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (25724)Termination reason: Unknown
% 0.21/0.45 % (25724)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (25724)Memory used [KB]: 5628
% 0.21/0.45 % (25724)Time elapsed: 0.013 s
% 0.21/0.45 % (25724)Instructions burned: 18 (million)
% 0.21/0.45 % (25724)------------------------------
% 0.21/0.45 % (25724)------------------------------
% 0.21/0.45 % (25734)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.45 % (25722)Termination reason: Unknown
% 0.21/0.45 % (25722)Termination phase: Preprocessing 3
% 0.21/0.45
% 0.21/0.45 % (25722)Memory used [KB]: 1023
% 0.21/0.45 % (25722)Time elapsed: 0.006 s
% 0.21/0.45 % (25722)Instructions burned: 4 (million)
% 0.21/0.45 % (25722)------------------------------
% 0.21/0.45 % (25722)------------------------------
% 0.21/0.45 % (25734)Instruction limit reached!
% 0.21/0.45 % (25734)------------------------------
% 0.21/0.45 % (25734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (25734)Termination reason: Unknown
% 0.21/0.45 % (25734)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (25734)Memory used [KB]: 1023
% 0.21/0.45 % (25734)Time elapsed: 0.005 s
% 0.21/0.45 % (25734)Instructions burned: 6 (million)
% 0.21/0.45 % (25734)------------------------------
% 0.21/0.45 % (25734)------------------------------
% 0.21/0.46 % (25738)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 Vampire---4 for (2999ds/902Mi)
% 0.21/0.47 % (25742)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 Vampire---4 for (2999ds/21Mi)
% 0.21/0.47 % (25745)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 Vampire---4 for (2999ds/6Mi)
% 0.21/0.47 % (25745)Instruction limit reached!
% 0.21/0.47 % (25745)------------------------------
% 0.21/0.47 % (25745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (25745)Termination reason: Unknown
% 0.21/0.47 % (25745)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (25745)Memory used [KB]: 5500
% 0.21/0.47 % (25745)Time elapsed: 0.005 s
% 0.21/0.47 % (25745)Instructions burned: 6 (million)
% 0.21/0.47 % (25745)------------------------------
% 0.21/0.47 % (25745)------------------------------
% 0.21/0.48 % (25742)Instruction limit reached!
% 0.21/0.48 % (25742)------------------------------
% 0.21/0.48 % (25742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (25742)Termination reason: Unknown
% 0.21/0.48 % (25742)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (25742)Memory used [KB]: 5756
% 0.21/0.48 % (25742)Time elapsed: 0.016 s
% 0.21/0.48 % (25742)Instructions burned: 21 (million)
% 0.21/0.48 % (25742)------------------------------
% 0.21/0.48 % (25742)------------------------------
% 0.21/0.48 % (25690)Instruction limit reached!
% 0.21/0.48 % (25690)------------------------------
% 0.21/0.48 % (25690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (25690)Termination reason: Unknown
% 0.21/0.48 % (25690)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (25690)Memory used [KB]: 5884
% 0.21/0.48 % (25690)Time elapsed: 0.101 s
% 0.21/0.48 % (25690)Instructions burned: 184 (million)
% 0.21/0.48 % (25690)------------------------------
% 0.21/0.48 % (25690)------------------------------
% 0.21/0.48 % (25744)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.48 % (25744)Instruction limit reached!
% 0.21/0.48 % (25744)------------------------------
% 0.21/0.48 % (25744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (25744)Termination reason: Unknown
% 0.21/0.48 % (25744)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (25744)Memory used [KB]: 5500
% 0.21/0.48 % (25744)Time elapsed: 0.005 s
% 0.21/0.48 % (25744)Instructions burned: 6 (million)
% 0.21/0.48 % (25744)------------------------------
% 0.21/0.48 % (25744)------------------------------
% 0.21/0.49 % (25752)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.49 % (25760)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 Vampire---4 for (2998ds/779Mi)
% 0.21/0.50 % (25761)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 Vampire---4 for (2998ds/19Mi)
% 0.21/0.50 % (25763)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.21/0.50 % (25761)Instruction limit reached!
% 0.21/0.50 % (25761)------------------------------
% 0.21/0.50 % (25761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (25761)Termination reason: Unknown
% 0.21/0.50 % (25761)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (25761)Memory used [KB]: 5500
% 0.21/0.50 % (25761)Time elapsed: 0.011 s
% 0.21/0.50 % (25761)Instructions burned: 20 (million)
% 0.21/0.50 % (25761)------------------------------
% 0.21/0.50 % (25761)------------------------------
% 0.21/0.51 % (25695)Instruction limit reached!
% 0.21/0.51 % (25695)------------------------------
% 0.21/0.51 % (25695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (25695)Termination reason: Unknown
% 0.21/0.51 % (25695)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (25695)Memory used [KB]: 5756
% 0.21/0.51 % (25695)Time elapsed: 0.132 s
% 0.21/0.51 % (25695)Instructions burned: 277 (million)
% 0.21/0.51 % (25695)------------------------------
% 0.21/0.51 % (25695)------------------------------
% 0.21/0.52 % (25776)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.21/0.52 % (25785)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.52 % (25785)Instruction limit reached!
% 0.21/0.52 % (25785)------------------------------
% 0.21/0.52 % (25785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (25785)Termination reason: Unknown
% 0.21/0.52 % (25785)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (25785)Memory used [KB]: 1023
% 0.21/0.52 % (25785)Time elapsed: 0.003 s
% 0.21/0.52 % (25785)Instructions burned: 5 (million)
% 0.21/0.52 % (25785)------------------------------
% 0.21/0.52 % (25785)------------------------------
% 0.21/0.52 % (25776)Instruction limit reached!
% 0.21/0.52 % (25776)------------------------------
% 0.21/0.52 % (25776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (25776)Termination reason: Unknown
% 0.21/0.52 % (25776)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (25776)Memory used [KB]: 5628
% 0.21/0.52 % (25776)Time elapsed: 0.008 s
% 0.21/0.52 % (25776)Instructions burned: 17 (million)
% 0.21/0.52 % (25776)------------------------------
% 0.21/0.52 % (25776)------------------------------
% 0.21/0.53 % (25793)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.21/0.53 % (25794)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.21/0.54 % (25793)Instruction limit reached!
% 0.21/0.54 % (25793)------------------------------
% 0.21/0.54 % (25793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (25793)Termination reason: Unknown
% 0.21/0.54 % (25793)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (25793)Memory used [KB]: 5756
% 0.21/0.54 % (25793)Time elapsed: 0.013 s
% 0.21/0.54 % (25793)Instructions burned: 32 (million)
% 0.21/0.54 % (25793)------------------------------
% 0.21/0.54 % (25793)------------------------------
% 1.50/0.55 % (25798)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 1.65/0.57 % (25706)First to succeed.
% 1.65/0.57 % (25794)Instruction limit reached!
% 1.65/0.57 % (25794)------------------------------
% 1.65/0.57 % (25794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.57 % (25794)Termination reason: Unknown
% 1.65/0.57 % (25794)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (25794)Memory used [KB]: 6012
% 1.65/0.57 % (25794)Time elapsed: 0.044 s
% 1.65/0.57 % (25794)Instructions burned: 129 (million)
% 1.65/0.57 % (25794)------------------------------
% 1.65/0.57 % (25794)------------------------------
% 1.65/0.58 % (25706)Refutation found. Thanks to Tanya!
% 1.65/0.58 % SZS status Theorem for Vampire---4
% 1.65/0.58 % SZS output start Proof for Vampire---4
% See solution above
% 1.65/0.58 % (25706)------------------------------
% 1.65/0.58 % (25706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.58 % (25706)Termination reason: Refutation
% 1.65/0.58
% 1.65/0.58 % (25706)Memory used [KB]: 7036
% 1.65/0.58 % (25706)Time elapsed: 0.178 s
% 1.65/0.58 % (25706)Instructions burned: 308 (million)
% 1.65/0.58 % (25706)------------------------------
% 1.65/0.58 % (25706)------------------------------
% 1.65/0.58 % (25689)Success in time 0.197 s
% 1.65/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------