TSTP Solution File: SEU912^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU912^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:52:09 EDT 2024
% Result : Theorem 25.27s 3.67s
% Output : Refutation 25.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 27
% Syntax : Number of formulae : 241 ( 25 unt; 20 typ; 0 def)
% Number of atoms : 4038 ( 377 equ; 0 cnn)
% Maximal formula atoms : 52 ( 18 avg)
% Number of connectives : 10665 ( 347 ~; 508 |;1004 &;5988 @)
% ( 6 <=>;1455 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 1853 (1853 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 20 usr; 11 con; 0-2 aty)
% (1221 !!; 136 ??; 0 @@+; 0 @@-)
% Number of variables : 1908 (1711 ^ 178 !; 18 ?;1908 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(type_def_8,type,
c: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
c: $tType ).
thf(func_def_3,type,
f: ( a > $o ) > b > $o ).
thf(func_def_4,type,
g: ( b > $o ) > c > $o ).
thf(func_def_5,type,
cA: ( a > $o ) > $o ).
thf(func_def_6,type,
cC: ( c > $o ) > $o ).
thf(func_def_7,type,
cB: ( b > $o ) > $o ).
thf(func_def_25,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
sK2: c > $o ).
thf(func_def_27,type,
sK3: a > $o ).
thf(func_def_28,type,
sK4: b > $o ).
thf(func_def_29,type,
sK5: a > $o ).
thf(func_def_30,type,
sK6: a > $o ).
thf(func_def_31,type,
sK7: a > $o ).
thf(func_def_32,type,
sK8: a > $o ).
thf(func_def_33,type,
sK9: b ).
thf(f662,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f47,f195,f206,f456,f493,f661]) ).
thf(f661,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f660]) ).
thf(f660,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f659]) ).
thf(f659,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f653,f508]) ).
thf(f508,plain,
( ( ( f @ sK3 @ sK9 )
= $false )
| ~ spl0_3
| ~ spl0_6 ),
inference(boolean_simplification,[],[f507]) ).
thf(f507,plain,
( ( ( $true
& ( f @ sK3 @ sK9 ) )
= $false )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f504,f218]) ).
thf(f218,plain,
( ( $true
= ( cB @ ( f @ sK3 ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f217]) ).
thf(f217,plain,
( ( $true
= ( $true
=> ( cB @ ( f @ sK3 ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f87,f214]) ).
thf(f214,plain,
( ( $true
= ( cA @ sK3 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f211]) ).
thf(f211,plain,
( ( ( ( cA @ sK3 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f209]) ).
thf(f209,plain,
( ( ( ( ( cA @ sK3 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f208]) ).
thf(f208,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) )
@ sK3 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f43]) ).
thf(f43,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
thf(f42,plain,
( spl0_3
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f87,plain,
! [X1: a > $o] :
( ( ( cA @ X1 )
=> ( cB @ ( f @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f85]) ).
thf(f85,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f82]) ).
thf(f82,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
( $true
= ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f77]) ).
thf(f77,plain,
( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f73,f75]) ).
thf(f75,plain,
( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f73]) ).
thf(f73,plain,
( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f70]) ).
thf(f70,plain,
( $true
= ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f10,f68]) ).
thf(f68,plain,
( $true
= ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
( $true
= ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) ) ) )
=> ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) ) ) )
=> ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cB @ ( f @ Y0 ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) ) ) )
=> ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: b > $o] :
( ( cB @ X0 )
=> ( cC @ ( g @ X0 ) ) )
& ! [X1: b > $o] :
( ( ! [X2: b] :
( ( X1 @ X2 )
=> ? [X3: b > $o] :
( ( X3 @ X2 )
& ( cB @ X3 ) ) )
& ! [X4: ( b > $o ) > $o] :
( ( ( X4
@ ^ [X5: b] : $false )
& ! [X6: b > $o] :
( ( X4 @ X6 )
=> ! [X7: b] :
( ( X1 @ X7 )
=> ( X4
@ ^ [X8: b] :
( ( X6 @ X8 )
| ( X7 = X8 ) ) ) ) ) )
=> ( X4 @ X1 ) ) )
=> ( ! [X9: a > $o] :
( ( ! [X10: b] :
( ( X1 @ X10 )
=> ( f @ X9 @ X10 ) )
& ( cA @ X9 ) )
=> ? [X11: a > $o] :
( ! [X12: a] :
( ( X11 @ X12 )
=> ( X9 @ X12 ) )
& ! [X13: a > $o] :
( ( ! [X14: a] :
( ( X11 @ X14 )
=> ( X13 @ X14 ) )
& ( cA @ X13 ) )
=> ( ( cA @ X13 )
& ! [X15: b] :
( ( X1 @ X15 )
=> ( f @ X13 @ X15 ) ) ) )
& ! [X16: ( a > $o ) > $o] :
( ( ( X16
@ ^ [X17: a] : $false )
& ! [X18: a > $o] :
( ( X16 @ X18 )
=> ! [X19: a] :
( ( X11 @ X19 )
=> ( X16
@ ^ [X20: a] :
( ( X18 @ X20 )
| ( X19 = X20 ) ) ) ) ) )
=> ( X16 @ X11 ) ) ) )
& ! [X21: a > $o] :
( ( ! [X22: b] :
( ( X1 @ X22 )
=> ( f @ X21 @ X22 ) )
& ( cA @ X21 ) )
=> ( cA @ X21 ) ) ) )
& ! [X23: a > $o] :
( ( cA @ X23 )
=> ( cB @ ( f @ X23 ) ) )
& ! [X24: c > $o] :
( ( ! [X25: ( c > $o ) > $o] :
( ( ( X25
@ ^ [X26: c] : $false )
& ! [X27: c > $o] :
( ( X25 @ X27 )
=> ! [X28: c] :
( ( X24 @ X28 )
=> ( X25
@ ^ [X29: c] :
( ( X28 = X29 )
| ( X27 @ X29 ) ) ) ) ) )
=> ( X25 @ X24 ) )
& ! [X30: c] :
( ( X24 @ X30 )
=> ? [X31: c > $o] :
( ( X31 @ X30 )
& ( cC @ X31 ) ) ) )
=> ( ! [X32: b > $o] :
( ( ( cB @ X32 )
& ! [X33: c] :
( ( X24 @ X33 )
=> ( g @ X32 @ X33 ) ) )
=> ? [X34: b > $o] :
( ! [X35: b > $o] :
( ( ( cB @ X35 )
& ! [X36: b] :
( ( X34 @ X36 )
=> ( X35 @ X36 ) ) )
=> ( ! [X37: c] :
( ( X24 @ X37 )
=> ( g @ X35 @ X37 ) )
& ( cB @ X35 ) ) )
& ! [X38: ( b > $o ) > $o] :
( ( ( X38
@ ^ [X39: b] : $false )
& ! [X40: b > $o] :
( ( X38 @ X40 )
=> ! [X41: b] :
( ( X34 @ X41 )
=> ( X38
@ ^ [X42: b] :
( ( X40 @ X42 )
| ( X41 = X42 ) ) ) ) ) )
=> ( X38 @ X34 ) )
& ! [X43: b] :
( ( X34 @ X43 )
=> ( X32 @ X43 ) ) ) )
& ! [X44: b > $o] :
( ( ( cB @ X44 )
& ! [X45: c] :
( ( X24 @ X45 )
=> ( g @ X44 @ X45 ) ) )
=> ( cB @ X44 ) ) ) ) )
=> ( ! [X46: a > $o] :
( ( cA @ X46 )
=> ( cC @ ( g @ ( f @ X46 ) ) ) )
& ! [X47: c > $o] :
( ( ! [X48: c] :
( ( X47 @ X48 )
=> ? [X49: c > $o] :
( ( X49 @ X48 )
& ( cC @ X49 ) ) )
& ! [X50: ( c > $o ) > $o] :
( ( ( X50
@ ^ [X51: c] : $false )
& ! [X52: c > $o] :
( ( X50 @ X52 )
=> ! [X53: c] :
( ( X47 @ X53 )
=> ( X50
@ ^ [X54: c] :
( ( X53 = X54 )
| ( X52 @ X54 ) ) ) ) ) )
=> ( X50 @ X47 ) ) )
=> ( ! [X55: a > $o] :
( ( ! [X56: c] :
( ( X47 @ X56 )
=> ( g @ ( f @ X55 ) @ X56 ) )
& ( cA @ X55 ) )
=> ? [X57: a > $o] :
( ! [X58: a > $o] :
( ( ( cA @ X58 )
& ! [X59: a] :
( ( X57 @ X59 )
=> ( X58 @ X59 ) ) )
=> ( ( cA @ X58 )
& ! [X60: c] :
( ( X47 @ X60 )
=> ( g @ ( f @ X58 ) @ X60 ) ) ) )
& ! [X61: a] :
( ( X57 @ X61 )
=> ( X55 @ X61 ) )
& ! [X62: ( a > $o ) > $o] :
( ( ( X62
@ ^ [X63: a] : $false )
& ! [X64: a > $o] :
( ( X62 @ X64 )
=> ! [X65: a] :
( ( X57 @ X65 )
=> ( X62
@ ^ [X66: a] :
( ( X64 @ X66 )
| ( X65 = X66 ) ) ) ) ) )
=> ( X62 @ X57 ) ) ) )
& ! [X67: a > $o] :
( ( ! [X68: c] :
( ( X47 @ X68 )
=> ( g @ ( f @ X67 ) @ X68 ) )
& ( cA @ X67 ) )
=> ( cA @ X67 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: b > $o] :
( ( cB @ X0 )
=> ( cC @ ( g @ X0 ) ) )
& ! [X1: b > $o] :
( ( ! [X0: b] :
( ( X1 @ X0 )
=> ? [X6: b > $o] :
( ( X6 @ X0 )
& ( cB @ X6 ) ) )
& ! [X2: ( b > $o ) > $o] :
( ( ( X2
@ ^ [X3: b] : $false )
& ! [X0: b > $o] :
( ( X2 @ X0 )
=> ! [X4: b] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: b] :
( ( X0 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X1 ) ) )
=> ( ! [X0: a > $o] :
( ( ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X0 @ X7 ) )
& ( cA @ X0 ) )
=> ? [X8: a > $o] :
( ! [X7: a] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) )
& ! [X3: a > $o] :
( ( ! [X7: a] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) )
& ( cA @ X3 ) )
=> ( ( cA @ X3 )
& ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X3 @ X7 ) ) ) )
& ! [X2: ( a > $o ) > $o] :
( ( ( X2
@ ^ [X3: a] : $false )
& ! [X7: a > $o] :
( ( X2 @ X7 )
=> ! [X4: a] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: a] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) ) ) )
& ! [X0: a > $o] :
( ( ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X0 @ X7 ) )
& ( cA @ X0 ) )
=> ( cA @ X0 ) ) ) )
& ! [X0: a > $o] :
( ( cA @ X0 )
=> ( cB @ ( f @ X0 ) ) )
& ! [X1: c > $o] :
( ( ! [X2: ( c > $o ) > $o] :
( ( ( X2
@ ^ [X3: c] : $false )
& ! [X0: c > $o] :
( ( X2 @ X0 )
=> ! [X4: c] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: c] :
( ( X4 = X5 )
| ( X0 @ X5 ) ) ) ) ) )
=> ( X2 @ X1 ) )
& ! [X0: c] :
( ( X1 @ X0 )
=> ? [X6: c > $o] :
( ( X6 @ X0 )
& ( cC @ X6 ) ) ) )
=> ( ! [X0: b > $o] :
( ( ( cB @ X0 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X0 @ X7 ) ) )
=> ? [X8: b > $o] :
( ! [X3: b > $o] :
( ( ( cB @ X3 )
& ! [X7: b] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) ) )
=> ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X3 @ X7 ) )
& ( cB @ X3 ) ) )
& ! [X2: ( b > $o ) > $o] :
( ( ( X2
@ ^ [X3: b] : $false )
& ! [X7: b > $o] :
( ( X2 @ X7 )
=> ! [X4: b] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: b] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) )
& ! [X7: b] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) ) ) )
& ! [X0: b > $o] :
( ( ( cB @ X0 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X0 @ X7 ) ) )
=> ( cB @ X0 ) ) ) ) )
=> ( ! [X0: a > $o] :
( ( cA @ X0 )
=> ( cC @ ( g @ ( f @ X0 ) ) ) )
& ! [X1: c > $o] :
( ( ! [X0: c] :
( ( X1 @ X0 )
=> ? [X6: c > $o] :
( ( X6 @ X0 )
& ( cC @ X6 ) ) )
& ! [X2: ( c > $o ) > $o] :
( ( ( X2
@ ^ [X3: c] : $false )
& ! [X0: c > $o] :
( ( X2 @ X0 )
=> ! [X4: c] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: c] :
( ( X4 = X5 )
| ( X0 @ X5 ) ) ) ) ) )
=> ( X2 @ X1 ) ) )
=> ( ! [X0: a > $o] :
( ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X0 ) @ X7 ) )
& ( cA @ X0 ) )
=> ? [X8: a > $o] :
( ! [X3: a > $o] :
( ( ( cA @ X3 )
& ! [X7: a] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) ) )
=> ( ( cA @ X3 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X3 ) @ X7 ) ) ) )
& ! [X7: a] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) )
& ! [X2: ( a > $o ) > $o] :
( ( ( X2
@ ^ [X3: a] : $false )
& ! [X7: a > $o] :
( ( X2 @ X7 )
=> ! [X4: a] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: a] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) ) ) )
& ! [X0: a > $o] :
( ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X0 ) @ X7 ) )
& ( cA @ X0 ) )
=> ( cA @ X0 ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: b > $o] :
( ( cB @ X0 )
=> ( cC @ ( g @ X0 ) ) )
& ! [X1: b > $o] :
( ( ! [X0: b] :
( ( X1 @ X0 )
=> ? [X6: b > $o] :
( ( X6 @ X0 )
& ( cB @ X6 ) ) )
& ! [X2: ( b > $o ) > $o] :
( ( ( X2
@ ^ [X3: b] : $false )
& ! [X0: b > $o] :
( ( X2 @ X0 )
=> ! [X4: b] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: b] :
( ( X0 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X1 ) ) )
=> ( ! [X0: a > $o] :
( ( ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X0 @ X7 ) )
& ( cA @ X0 ) )
=> ? [X8: a > $o] :
( ! [X7: a] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) )
& ! [X3: a > $o] :
( ( ! [X7: a] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) )
& ( cA @ X3 ) )
=> ( ( cA @ X3 )
& ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X3 @ X7 ) ) ) )
& ! [X2: ( a > $o ) > $o] :
( ( ( X2
@ ^ [X3: a] : $false )
& ! [X7: a > $o] :
( ( X2 @ X7 )
=> ! [X4: a] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: a] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) ) ) )
& ! [X0: a > $o] :
( ( ! [X7: b] :
( ( X1 @ X7 )
=> ( f @ X0 @ X7 ) )
& ( cA @ X0 ) )
=> ( cA @ X0 ) ) ) )
& ! [X0: a > $o] :
( ( cA @ X0 )
=> ( cB @ ( f @ X0 ) ) )
& ! [X1: c > $o] :
( ( ! [X2: ( c > $o ) > $o] :
( ( ( X2
@ ^ [X3: c] : $false )
& ! [X0: c > $o] :
( ( X2 @ X0 )
=> ! [X4: c] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: c] :
( ( X4 = X5 )
| ( X0 @ X5 ) ) ) ) ) )
=> ( X2 @ X1 ) )
& ! [X0: c] :
( ( X1 @ X0 )
=> ? [X6: c > $o] :
( ( X6 @ X0 )
& ( cC @ X6 ) ) ) )
=> ( ! [X0: b > $o] :
( ( ( cB @ X0 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X0 @ X7 ) ) )
=> ? [X8: b > $o] :
( ! [X3: b > $o] :
( ( ( cB @ X3 )
& ! [X7: b] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) ) )
=> ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X3 @ X7 ) )
& ( cB @ X3 ) ) )
& ! [X2: ( b > $o ) > $o] :
( ( ( X2
@ ^ [X3: b] : $false )
& ! [X7: b > $o] :
( ( X2 @ X7 )
=> ! [X4: b] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: b] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) )
& ! [X7: b] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) ) ) )
& ! [X0: b > $o] :
( ( ( cB @ X0 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ X0 @ X7 ) ) )
=> ( cB @ X0 ) ) ) ) )
=> ( ! [X0: a > $o] :
( ( cA @ X0 )
=> ( cC @ ( g @ ( f @ X0 ) ) ) )
& ! [X1: c > $o] :
( ( ! [X0: c] :
( ( X1 @ X0 )
=> ? [X6: c > $o] :
( ( X6 @ X0 )
& ( cC @ X6 ) ) )
& ! [X2: ( c > $o ) > $o] :
( ( ( X2
@ ^ [X3: c] : $false )
& ! [X0: c > $o] :
( ( X2 @ X0 )
=> ! [X4: c] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: c] :
( ( X4 = X5 )
| ( X0 @ X5 ) ) ) ) ) )
=> ( X2 @ X1 ) ) )
=> ( ! [X0: a > $o] :
( ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X0 ) @ X7 ) )
& ( cA @ X0 ) )
=> ? [X8: a > $o] :
( ! [X3: a > $o] :
( ( ( cA @ X3 )
& ! [X7: a] :
( ( X8 @ X7 )
=> ( X3 @ X7 ) ) )
=> ( ( cA @ X3 )
& ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X3 ) @ X7 ) ) ) )
& ! [X7: a] :
( ( X8 @ X7 )
=> ( X0 @ X7 ) )
& ! [X2: ( a > $o ) > $o] :
( ( ( X2
@ ^ [X3: a] : $false )
& ! [X7: a > $o] :
( ( X2 @ X7 )
=> ! [X4: a] :
( ( X8 @ X4 )
=> ( X2
@ ^ [X5: a] :
( ( X7 @ X5 )
| ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X8 ) ) ) )
& ! [X0: a > $o] :
( ( ! [X7: c] :
( ( X1 @ X7 )
=> ( g @ ( f @ X0 ) @ X7 ) )
& ( cA @ X0 ) )
=> ( cA @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMTHM9_pme) ).
thf(f504,plain,
( ! [X1: b > $o] :
( ( ( cB @ X1 )
& ( X1 @ sK9 ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f503]) ).
thf(f503,plain,
( ! [X1: b > $o] :
( ( ^ [Y0: b > $o] :
( ( cB @ Y0 )
& ( Y0 @ sK9 ) )
@ X1 )
= $false )
| ~ spl0_6 ),
inference(pi_clausification,[],[f502]) ).
thf(f502,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
& ( Y0 @ sK9 ) ) )
= $false )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f501]) ).
thf(f501,plain,
( ( $false
= ( $true
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
& ( Y0 @ sK9 ) ) ) ) )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f498,f500]) ).
thf(f500,plain,
( ( $true
= ( sK4 @ sK9 ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f498]) ).
thf(f498,plain,
( ( ( ( sK4 @ sK9 )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( cB @ Y0 )
& ( Y0 @ sK9 ) ) ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f494]) ).
thf(f494,plain,
( ( ( ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) )
@ sK9 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f194]) ).
thf(f194,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f193]) ).
thf(f193,plain,
( spl0_6
<=> ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f653,plain,
( ( ( f @ sK3 @ sK9 )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(boolean_simplification,[],[f652]) ).
thf(f652,plain,
( ( $true
= ( $true
=> ( f @ sK3 @ sK9 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f644,f500]) ).
thf(f644,plain,
( ! [X1: b] :
( $true
= ( ( sK4 @ X1 )
=> ( f @ sK3 @ X1 ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f642]) ).
thf(f642,plain,
( ! [X1: b] :
( ( ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(pi_clausification,[],[f640]) ).
thf(f640,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f618]) ).
thf(f618,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f615]) ).
thf(f615,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f612,f613]) ).
thf(f613,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f612]) ).
thf(f612,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f609]) ).
thf(f609,plain,
( ( ( ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) )
@ sK4 )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(sigma_clausification,[],[f606]) ).
thf(f606,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f605]) ).
thf(f605,plain,
( ( ( $true
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f602,f218]) ).
thf(f602,plain,
( ( $true
= ( ( cB @ ( f @ sK3 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f598]) ).
thf(f598,plain,
( ( ( ( $true
& ( cB @ ( f @ sK3 ) ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f587,f219]) ).
thf(f219,plain,
( ( $true
= ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f216]) ).
thf(f216,plain,
( ( $true
= ( $true
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f211,f214]) ).
thf(f587,plain,
( ! [X1: b > $o] :
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ X1 @ Y0 ) ) )
& ( cB @ X1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f584]) ).
thf(f584,plain,
( ! [X1: b > $o] :
( ( ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(pi_clausification,[],[f561]) ).
thf(f561,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f554]) ).
thf(f554,plain,
( ( ( $true
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f548,f551]) ).
thf(f551,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f548]) ).
thf(f548,plain,
( ( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f547]) ).
thf(f547,plain,
( ( ( $true
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f545,f523]) ).
thf(f523,plain,
( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f521]) ).
thf(f521,plain,
( ( $true
= ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(not_proxy_clausification,[],[f520]) ).
thf(f520,plain,
( ( ( ~ ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f519]) ).
thf(f519,plain,
( ( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f518]) ).
thf(f518,plain,
( ( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& $false ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f517,f43]) ).
thf(f517,plain,
( ( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f516]) ).
thf(f516,plain,
( ( ( ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f20]) ).
thf(f20,plain,
( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f19,plain,
( spl0_2
<=> ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f545,plain,
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f544]) ).
thf(f544,plain,
( ( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& $true )
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f100,f541]) ).
thf(f541,plain,
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f536]) ).
thf(f536,plain,
( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f521,f523]) ).
thf(f100,plain,
! [X1: c > $o] :
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( X1 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( X1 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ X1 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( X1 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( X1 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( X1 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f99]) ).
thf(f99,plain,
! [X1: c > $o] :
( $true
= ( ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f86]) ).
thf(f86,plain,
( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f84]) ).
thf(f84,plain,
( $true
= ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( cB @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( !! @ b
@ ^ [Y3: b] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y3: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y4: b > $o] :
( ( Y3 @ Y4 )
=> ( !! @ b
@ ^ [Y5: b] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: b] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: b] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( ( !! @ b
@ ^ [Y4: b] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cB @ Y3 ) )
=> ( ( cB @ Y3 )
& ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f80,f82]) ).
thf(f493,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f492]) ).
thf(f492,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f491]) ).
thf(f491,plain,
( ( $true = $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f490]) ).
thf(f490,plain,
( ( $true = ~ $true )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f488,f474]) ).
thf(f474,plain,
( ( ( cA @ sK8 )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f472]) ).
thf(f472,plain,
( ( ( ( cA @ sK8 )
=> ( cC @ ( g @ ( f @ sK8 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f471]) ).
thf(f471,plain,
( ( ( ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) )
@ sK8 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
thf(f16,plain,
( spl0_1
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f488,plain,
( ( $true
= ( ~ ( cA @ sK8 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f486]) ).
thf(f486,plain,
( ( ( ( cA @ sK8 )
=> $false )
= $true )
| ~ spl0_1 ),
inference(superposition,[],[f87,f477]) ).
thf(f477,plain,
( ( ( cB @ ( f @ sK8 ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f476]) ).
thf(f476,plain,
( ( ( cB @ ( f @ sK8 ) )
= $false )
| ( $true = $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f475]) ).
thf(f475,plain,
( ( ( cB @ ( f @ sK8 ) )
= $false )
| ( ( ( cA @ sK8 )
=> $true )
= $false )
| ~ spl0_1 ),
inference(superposition,[],[f472,f74]) ).
thf(f74,plain,
! [X1: b > $o] :
( ( $true
= ( cC @ ( g @ X1 ) ) )
| ( ( cB @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
! [X1: b > $o] :
( ( ( cB @ X1 )
=> ( cC @ ( g @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X1: b > $o] :
( ( ^ [Y0: b > $o] :
( ( cB @ Y0 )
=> ( cC @ ( g @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f68]) ).
thf(f456,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f455]) ).
thf(f455,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f450]) ).
thf(f450,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f377,f449]) ).
thf(f449,plain,
( ( ( cA @ sK7 )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f448]) ).
thf(f448,plain,
( ( ( $true
& ( cA @ sK7 ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f379,f427]) ).
thf(f427,plain,
( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f426]) ).
thf(f426,plain,
( ( $true
= ( $true
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f425]) ).
thf(f425,plain,
( ( ( $true
=> ( $true
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f423,f390]) ).
thf(f390,plain,
( ( $true
= ( cB @ ( f @ sK7 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f384]) ).
thf(f384,plain,
( ( ( $true
=> ( cB @ ( f @ sK7 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f87,f377]) ).
thf(f423,plain,
( ( ( ( cB @ ( f @ sK7 ) )
=> ( ( cB @ ( f @ sK7 ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f415]) ).
thf(f415,plain,
( ( $true
= ( ( $true
& ( cB @ ( f @ sK7 ) ) )
=> ( ( cB @ ( f @ sK7 ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f260,f410]) ).
thf(f410,plain,
( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK7 @ Y0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f409]) ).
thf(f409,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK7 @ Y0 ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f408]) ).
thf(f408,plain,
( ( $true
= ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK7 @ Y0 ) ) )
& $true ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f407,f377]) ).
thf(f407,plain,
( ( $true
= ( ( cA @ sK7 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK7 @ Y0 ) ) )
& ( cA @ sK7 ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f405]) ).
thf(f405,plain,
( ( ( ( ( cA @ sK7 )
& $true )
=> ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK7 @ Y0 ) ) )
& ( cA @ sK7 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f345,f388]) ).
thf(f388,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK7 @ Y0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f380]) ).
thf(f380,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& $true ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f375,f377]) ).
thf(f375,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( cA @ sK7 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f372]) ).
thf(f372,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( cA @ sK7 ) )
=> ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) )
& ( cA @ sK7 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f370]) ).
thf(f370,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) )
@ sK7 )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sigma_clausification,[],[f366]) ).
thf(f366,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f365]) ).
thf(f365,plain,
( ( ( $true
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f363,f331]) ).
thf(f331,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f330]) ).
thf(f330,plain,
( ( $true
= ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK6 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK3 @ Y0 ) ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f327]) ).
thf(f327,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) )
@ sK6 ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sigma_clausification,[],[f324]) ).
thf(f324,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f323]) ).
thf(f323,plain,
( ( $true
= ( $true
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f322,f272]) ).
thf(f272,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f259]) ).
thf(f259,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f257]) ).
thf(f257,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f253,f255]) ).
thf(f255,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f253]) ).
thf(f253,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f251]) ).
thf(f251,plain,
( ( ( ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) )
@ sK4 )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(sigma_clausification,[],[f246]) ).
thf(f246,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f245]) ).
thf(f245,plain,
( ( ( $true
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f241,f218]) ).
thf(f241,plain,
( ( $true
= ( ( cB @ ( f @ sK3 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f239]) ).
thf(f239,plain,
( ( ( ( $true
& ( cB @ ( f @ sK3 ) ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f133,f219]) ).
thf(f133,plain,
( ! [X1: b > $o] :
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ X1 @ Y0 ) ) )
& ( cB @ X1 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f130]) ).
thf(f130,plain,
( ! [X1: b > $o] :
( ( ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[],[f118]) ).
thf(f118,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f114]) ).
thf(f114,plain,
( ( ( $true
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f107,f111]) ).
thf(f111,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f107]) ).
thf(f107,plain,
( ( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f106]) ).
thf(f106,plain,
( ( ( $true
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f29]) ).
thf(f29,plain,
( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( $true
= ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
( ( ( ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f20]) ).
thf(f105,plain,
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f102]) ).
thf(f102,plain,
( ( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( ?? @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( cC @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& $true )
=> ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( cB @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( !! @ b
@ ^ [Y2: b] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y2: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y3: b > $o] :
( ( Y2 @ Y3 )
=> ( !! @ b
@ ^ [Y4: b] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: b] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: b] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( ( !! @ b
@ ^ [Y3: b] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cB @ Y2 ) )
=> ( ( cB @ Y2 )
& ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f100,f34]) ).
thf(f34,plain,
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f32]) ).
thf(f32,plain,
( ( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y0: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y1: c > $o] :
( ( Y0 @ Y1 )
=> ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( Y0
@ ^ [Y3: c] :
( ( Y1 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: c] : $false ) )
=> ( Y0 @ sK2 ) ) )
& $true )
= $true )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f27,f29]) ).
thf(f322,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f320]) ).
thf(f320,plain,
( ( $true
= ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f313,f214]) ).
thf(f313,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( cA @ X1 )
& ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ X1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f310]) ).
thf(f310,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) )
@ X1 )
= $true )
| ~ spl0_5 ),
inference(pi_clausification,[],[f300]) ).
thf(f300,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f296]) ).
thf(f296,plain,
( ( ( $true
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f191,f293]) ).
thf(f293,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
= $true )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f191]) ).
thf(f191,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f190,plain,
( spl0_5
<=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f363,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f362]) ).
thf(f362,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( sK3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f249,f344]) ).
thf(f344,plain,
( ( $true
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK6 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ sK6 ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f342]) ).
thf(f342,plain,
( ( $true
= ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK6 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ sK6 ) ) )
& $true ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f337,f340]) ).
thf(f340,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f337]) ).
thf(f337,plain,
( ( $true
= ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK6 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f333]) ).
thf(f333,plain,
( ( ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK6 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f330,f331]) ).
thf(f249,plain,
( ! [X1: a > $o] :
( ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X1 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f248]) ).
thf(f248,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) )
@ X1 )
= $false )
| ~ spl0_3 ),
inference(pi_clausification,[],[f215]) ).
thf(f215,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f212]) ).
thf(f212,plain,
( ( ( $true
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f209,f211]) ).
thf(f345,plain,
( ! [X1: a > $o] :
( ( ( ( cA @ X1 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
=> ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ X1 @ Y0 ) ) )
& ( cA @ X1 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f343]) ).
thf(f343,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) )
@ X1 ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(pi_clausification,[],[f340]) ).
thf(f260,plain,
( ! [X1: b > $o] :
( $true
= ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( X1 @ Y0 ) ) )
& ( cB @ X1 ) )
=> ( ( cB @ X1 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ X1 @ Y0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f258]) ).
thf(f258,plain,
( ! [X1: b > $o] :
( $true
= ( ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) )
@ X1 ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(pi_clausification,[],[f255]) ).
thf(f379,plain,
( ( ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) )
& ( cA @ sK7 ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f376]) ).
thf(f376,plain,
( ( ( $true
=> ( ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK7 ) @ Y0 ) ) )
& ( cA @ sK7 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f372,f375]) ).
thf(f377,plain,
( ( ( cA @ sK7 )
= $true )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f375]) ).
thf(f206,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f205]) ).
thf(f205,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f204,plain,
( ( $true = $false )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f203]) ).
thf(f203,plain,
( ( $false = ~ $false )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f202]) ).
thf(f202,plain,
( ( ( ~ ( $false
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK5 ) @ Y0 ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f200]) ).
thf(f200,plain,
( ( ( ( $false
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK5 ) @ Y0 ) ) ) )
=> $false )
= $false )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f197,f198]) ).
thf(f198,plain,
( ( ( cA @ sK5 )
= $false )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f197]) ).
thf(f197,plain,
( ( $false
= ( ( ( cA @ sK5 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK5 ) @ Y0 ) ) ) )
=> ( cA @ sK5 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f196]) ).
thf(f196,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) )
@ sK5 )
= $false )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f46]) ).
thf(f46,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f45,plain,
( spl0_4
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f195,plain,
( spl0_5
| spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f188,f42,f19,f193,f190]) ).
thf(f188,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f182]) ).
thf(f182,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f180]) ).
thf(f180,plain,
( ( $true
= ( ( $true
& ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( sK4 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f79,f174]) ).
thf(f174,plain,
( ( $true
= ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f169]) ).
thf(f169,plain,
( ( ( $true
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f155,f168]) ).
thf(f168,plain,
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f155,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f153]) ).
thf(f153,plain,
( ( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& $true )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f149,f151]) ).
thf(f151,plain,
( ( ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f149]) ).
thf(f149,plain,
( ( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( ( sK4 @ Y0 )
=> ( f @ sK3 @ Y0 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( sK4 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ sK4 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( ( !! @ b
@ ^ [Y1: b] :
( ( sK4 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cB @ Y0 ) )
=> ( ( cB @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f147]) ).
thf(f147,plain,
( ( ( ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) )
@ sK4 )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(sigma_clausification,[],[f144]) ).
thf(f144,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f143]) ).
thf(f143,plain,
( ( ( $true
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f142,f90]) ).
thf(f90,plain,
( ( $true
= ( cB @ ( f @ sK3 ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f89]) ).
thf(f89,plain,
( ( $true
= ( $true
=> ( cB @ ( f @ sK3 ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f87,f56]) ).
thf(f56,plain,
( ( $true
= ( cA @ sK3 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( ( ( cA @ sK3 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( ( ( ( ( cA @ sK3 )
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) )
@ sK3 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f43]) ).
thf(f142,plain,
( ( $true
= ( ( cB @ ( f @ sK3 ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(boolean_simplification,[],[f140]) ).
thf(f140,plain,
( ( ( ( $true
& ( cB @ ( f @ sK3 ) ) )
=> ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( f @ sK3 @ Y1 ) ) )
& ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cB @ Y1 ) )
=> ( ( cB @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( sK2 @ Y2 )
=> ( g @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f133,f59]) ).
thf(f59,plain,
( ( $true
= ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f58]) ).
thf(f58,plain,
( ( $true
= ( $true
& ( !! @ c
@ ^ [Y0: c] :
( ( sK2 @ Y0 )
=> ( g @ ( f @ sK3 ) @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f53,f56]) ).
thf(f79,plain,
! [X1: b > $o] :
( ( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y0: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( Y0 @ Y1 )
=> ( !! @ b
@ ^ [Y2: b] :
( ( X1 @ Y2 )
=> ( Y0
@ ^ [Y3: b] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: b] : $false ) )
=> ( Y0 @ X1 ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( ( X1 @ Y0 )
=> ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( cB @ Y1 )
& ( Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( X1 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ b
@ ^ [Y1: b] :
( ( X1 @ Y1 )
=> ( f @ Y0 @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( cA @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( ( !! @ b
@ ^ [Y3: b] :
( ( X1 @ Y3 )
=> ( f @ Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f78]) ).
thf(f78,plain,
! [X1: b > $o] :
( $true
= ( ^ [Y0: b > $o] :
( ( ( !! @ ( ( b > $o ) > $o )
@ ^ [Y1: ( b > $o ) > $o] :
( ( ( !! @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( Y1 @ Y2 )
=> ( !! @ b
@ ^ [Y3: b] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: b] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: b] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( ( Y0 @ Y1 )
=> ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( cB @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ b
@ ^ [Y2: b] :
( ( Y0 @ Y2 )
=> ( f @ Y1 @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( cA @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( ( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( f @ Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f75]) ).
thf(f47,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f40,f19,f45,f42]) ).
thf(f40,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f28]) ).
thf(f28,plain,
( ( ( $true
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( cA @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( cA @ Y0 )
& ( !! @ c
@ ^ [Y1: c] :
( ( sK2 @ Y1 )
=> ( g @ ( f @ Y0 ) @ Y1 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !! @ c
@ ^ [Y3: c] :
( ( sK2 @ Y3 )
=> ( g @ ( f @ Y2 ) @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f25,f27]) ).
thf(f21,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f19,f16]) ).
thf(f13,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( ( !! @ ( c > $o )
@ ^ [Y0: c > $o] :
( ( ( !! @ ( ( c > $o ) > $o )
@ ^ [Y1: ( c > $o ) > $o] :
( ( ( !! @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( Y1 @ Y2 )
=> ( !! @ c
@ ^ [Y3: c] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: c] :
( ( Y2 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: c] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ c
@ ^ [Y1: c] :
( ( Y0 @ Y1 )
=> ( ?? @ ( c > $o )
@ ^ [Y2: c > $o] :
( ( cC @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( cA @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( cA @ Y1 )
& ( !! @ c
@ ^ [Y2: c] :
( ( Y0 @ Y2 )
=> ( g @ ( f @ Y1 ) @ Y2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !! @ c
@ ^ [Y4: c] :
( ( Y0 @ Y4 )
=> ( g @ ( f @ Y3 ) @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cC @ ( g @ ( f @ Y0 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU912^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 18:07:52 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32 ipcrm: permission denied for id (805765120)
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% 0.15/0.33 ipcrm: permission denied for id (806158348)
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% 0.15/0.33 ipcrm: permission denied for id (806977553)
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% 0.15/0.39 ipcrm: permission denied for id (809140307)
% 0.15/0.39 ipcrm: permission denied for id (809173076)
% 0.15/0.39 ipcrm: permission denied for id (809271383)
% 0.15/0.39 ipcrm: permission denied for id (809304152)
% 0.15/0.39 ipcrm: permission denied for id (809369690)
% 0.15/0.40 ipcrm: permission denied for id (809467996)
% 0.15/0.40 ipcrm: permission denied for id (809566304)
% 0.15/0.40 ipcrm: permission denied for id (809631842)
% 0.15/0.40 ipcrm: permission denied for id (809697380)
% 0.15/0.40 ipcrm: permission denied for id (809828456)
% 0.15/0.41 ipcrm: permission denied for id (809926763)
% 0.15/0.41 ipcrm: permission denied for id (809959532)
% 0.15/0.41 ipcrm: permission denied for id (810287222)
% 0.15/0.42 ipcrm: permission denied for id (810319991)
% 0.15/0.42 ipcrm: permission denied for id (810352761)
% 0.15/0.42 ipcrm: permission denied for id (810385530)
% 0.15/0.42 ipcrm: permission denied for id (810418299)
% 0.15/0.42 ipcrm: permission denied for id (810549375)
% 0.15/0.43 % (21699)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.15/0.43 % (21699)Instruction limit reached!
% 0.15/0.43 % (21699)------------------------------
% 0.15/0.43 % (21699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (21699)Termination reason: Unknown
% 0.15/0.43 % (21699)Termination phase: shuffling
% 0.15/0.43
% 0.15/0.43 % (21699)Memory used [KB]: 1023
% 0.15/0.43 % (21699)Time elapsed: 0.002 s
% 0.15/0.43 % (21699)Instructions burned: 2 (million)
% 0.15/0.43 % (21699)------------------------------
% 0.15/0.43 % (21699)------------------------------
% 0.15/0.43 % (21700)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.15/0.44 % (21696)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.15/0.44 % (21700)Instruction limit reached!
% 0.15/0.44 % (21700)------------------------------
% 0.15/0.44 % (21700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (21700)Termination reason: Unknown
% 0.15/0.44 % (21700)Termination phase: shuffling
% 0.15/0.44
% 0.15/0.44 % (21700)Memory used [KB]: 1023
% 0.15/0.44 % (21700)Time elapsed: 0.003 s
% 0.15/0.44 % (21700)Instructions burned: 5 (million)
% 0.15/0.44 % (21700)------------------------------
% 0.15/0.44 % (21700)------------------------------
% 0.15/0.44 % (21698)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2998ds/27Mi)
% 0.15/0.44 % (21703)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.44 % (21703)Instruction limit reached!
% 0.15/0.44 % (21703)------------------------------
% 0.15/0.44 % (21703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (21703)Termination reason: Unknown
% 0.15/0.44 % (21703)Termination phase: Preprocessing 1
% 0.15/0.44
% 0.15/0.44 % (21703)Memory used [KB]: 1023
% 0.15/0.44 % (21703)Time elapsed: 0.003 s
% 0.15/0.44 % (21703)Instructions burned: 4 (million)
% 0.15/0.44 % (21703)------------------------------
% 0.15/0.44 % (21703)------------------------------
% 0.15/0.44 % (21697)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.15/0.44 % (21702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.15/0.44 % (21697)Instruction limit reached!
% 0.15/0.44 % (21697)------------------------------
% 0.15/0.44 % (21697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (21697)Termination reason: Unknown
% 0.15/0.44 % (21697)Termination phase: Naming
% 0.15/0.44
% 0.15/0.44 % (21697)Memory used [KB]: 1151
% 0.15/0.44 % (21697)Time elapsed: 0.004 s
% 0.15/0.44 % (21697)Instructions burned: 5 (million)
% 0.15/0.44 % (21697)------------------------------
% 0.15/0.44 % (21697)------------------------------
% 0.15/0.44 % (21704)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 0.15/0.44 % (21701)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
% 0.15/0.45 % (21702)Instruction limit reached!
% 0.15/0.45 % (21702)------------------------------
% 0.15/0.45 % (21702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (21702)Termination reason: Unknown
% 0.15/0.45 % (21702)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (21702)Memory used [KB]: 5884
% 0.15/0.45 % (21702)Time elapsed: 0.010 s
% 0.15/0.45 % (21702)Instructions burned: 20 (million)
% 0.15/0.45 % (21702)------------------------------
% 0.15/0.45 % (21702)------------------------------
% 0.15/0.45 % (21705)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.15/0.45 % (21698)Instruction limit reached!
% 0.15/0.45 % (21698)------------------------------
% 0.15/0.45 % (21698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (21698)Termination reason: Unknown
% 0.15/0.45 % (21698)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (21698)Memory used [KB]: 5884
% 0.15/0.45 % (21698)Time elapsed: 0.016 s
% 0.15/0.45 % (21698)Instructions burned: 27 (million)
% 0.15/0.45 % (21698)------------------------------
% 0.15/0.45 % (21698)------------------------------
% 0.15/0.45 % (21707)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2998ds/1041Mi)
% 0.15/0.45 % (21704)Instruction limit reached!
% 0.15/0.45 % (21704)------------------------------
% 0.15/0.45 % (21704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (21704)Termination reason: Unknown
% 0.15/0.45 % (21704)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (21704)Memory used [KB]: 5628
% 0.15/0.45 % (21704)Time elapsed: 0.012 s
% 0.15/0.45 % (21704)Instructions burned: 37 (million)
% 0.15/0.45 % (21704)------------------------------
% 0.15/0.45 % (21704)------------------------------
% 0.15/0.45 % (21706)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.45 % (21705)Instruction limit reached!
% 0.15/0.45 % (21705)------------------------------
% 0.15/0.45 % (21705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (21705)Termination reason: Unknown
% 0.15/0.45 % (21705)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (21705)Memory used [KB]: 1407
% 0.15/0.45 % (21705)Time elapsed: 0.008 s
% 0.15/0.45 % (21705)Instructions burned: 16 (million)
% 0.15/0.45 % (21705)------------------------------
% 0.15/0.45 % (21705)------------------------------
% 0.15/0.46 % (21706)Instruction limit reached!
% 0.15/0.46 % (21706)------------------------------
% 0.15/0.46 % (21706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (21706)Termination reason: Unknown
% 0.15/0.46 % (21706)Termination phase: Preprocessing 1
% 0.15/0.46
% 0.15/0.46 % (21706)Memory used [KB]: 1023
% 0.15/0.46 % (21706)Time elapsed: 0.002 s
% 0.15/0.46 % (21706)Instructions burned: 4 (million)
% 0.15/0.46 % (21706)------------------------------
% 0.15/0.46 % (21706)------------------------------
% 0.15/0.46 % (21708)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.15/0.46 % (21710)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.46 % (21710)Instruction limit reached!
% 0.15/0.46 % (21710)------------------------------
% 0.15/0.46 % (21710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (21710)Termination reason: Unknown
% 0.15/0.46 % (21710)Termination phase: Property scanning
% 0.15/0.46
% 0.15/0.46 % (21710)Memory used [KB]: 1023
% 0.15/0.46 % (21710)Time elapsed: 0.002 s
% 0.15/0.46 % (21710)Instructions burned: 4 (million)
% 0.15/0.46 % (21710)------------------------------
% 0.15/0.46 % (21710)------------------------------
% 0.15/0.46 % (21708)Instruction limit reached!
% 0.15/0.46 % (21708)------------------------------
% 0.15/0.46 % (21708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (21708)Termination reason: Unknown
% 0.15/0.46 % (21708)Termination phase: Preprocessing 3
% 0.15/0.46
% 0.15/0.46 % (21708)Memory used [KB]: 1279
% 0.15/0.46 % (21708)Time elapsed: 0.005 s
% 0.15/0.46 % (21708)Instructions burned: 9 (million)
% 0.15/0.46 % (21708)------------------------------
% 0.15/0.46 % (21708)------------------------------
% 0.15/0.46 % (21709)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 0.15/0.46 % (21712)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.15/0.46 % (21711)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.47 % (21711)Instruction limit reached!
% 0.15/0.47 % (21711)------------------------------
% 0.15/0.47 % (21711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (21712)Instruction limit reached!
% 0.15/0.47 % (21712)------------------------------
% 0.15/0.47 % (21712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (21712)Termination reason: Unknown
% 0.15/0.47 % (21712)Termination phase: Preprocessing 3
% 0.15/0.47
% 0.15/0.47 % (21712)Memory used [KB]: 1151
% 0.15/0.47 % (21712)Time elapsed: 0.003 s
% 0.15/0.47 % (21712)Instructions burned: 7 (million)
% 0.15/0.47 % (21712)------------------------------
% 0.15/0.47 % (21712)------------------------------
% 0.15/0.47 % (21711)Termination reason: Unknown
% 0.15/0.47 % (21711)Termination phase: Preprocessing 2
% 0.15/0.47
% 0.15/0.47 % (21711)Memory used [KB]: 1023
% 0.15/0.47 % (21711)Time elapsed: 0.003 s
% 0.15/0.47 % (21711)Instructions burned: 5 (million)
% 0.15/0.47 % (21711)------------------------------
% 0.15/0.47 % (21711)------------------------------
% 0.15/0.47 % (21713)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.47 % (21709)Instruction limit reached!
% 0.15/0.47 % (21709)------------------------------
% 0.15/0.47 % (21709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (21709)Termination reason: Unknown
% 0.15/0.47 % (21709)Termination phase: Property scanning
% 0.15/0.47
% 0.15/0.47 % (21709)Memory used [KB]: 1279
% 0.15/0.47 % (21709)Time elapsed: 0.009 s
% 0.15/0.47 % (21713)Instruction limit reached!
% 0.15/0.47 % (21713)------------------------------
% 0.15/0.47 % (21713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (21709)Instructions burned: 17 (million)
% 0.15/0.47 % (21709)------------------------------
% 0.15/0.47 % (21709)------------------------------
% 0.15/0.47 % (21713)Termination reason: Unknown
% 0.15/0.47 % (21713)Termination phase: shuffling
% 0.15/0.47
% 0.15/0.47 % (21713)Memory used [KB]: 1023
% 0.15/0.47 % (21713)Time elapsed: 0.002 s
% 0.15/0.47 % (21713)Instructions burned: 4 (million)
% 0.15/0.47 % (21713)------------------------------
% 0.15/0.47 % (21713)------------------------------
% 0.15/0.47 % (21714)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.15/0.47 % (21715)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.15/0.47 % (21714)Instruction limit reached!
% 0.15/0.47 % (21714)------------------------------
% 0.15/0.47 % (21714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (21714)Termination reason: Unknown
% 0.15/0.48 % (21714)Termination phase: Preprocessing 3
% 0.15/0.48
% 0.15/0.48 % (21714)Memory used [KB]: 1151
% 0.15/0.48 % (21714)Time elapsed: 0.003 s
% 0.15/0.48 % (21714)Instructions burned: 5 (million)
% 0.15/0.48 % (21714)------------------------------
% 0.15/0.48 % (21714)------------------------------
% 0.15/0.48 % (21716)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.15/0.48 % (21717)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.15/0.48 % (21715)Instruction limit reached!
% 0.15/0.48 % (21715)------------------------------
% 0.15/0.48 % (21715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (21715)Termination reason: Unknown
% 0.15/0.48 % (21715)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (21715)Memory used [KB]: 5884
% 0.15/0.48 % (21715)Time elapsed: 0.007 s
% 0.15/0.48 % (21715)Instructions burned: 18 (million)
% 0.15/0.48 % (21715)------------------------------
% 0.15/0.48 % (21715)------------------------------
% 0.15/0.48 % (21717)Instruction limit reached!
% 0.15/0.48 % (21717)------------------------------
% 0.15/0.48 % (21717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (21717)Termination reason: Unknown
% 0.15/0.48 % (21717)Termination phase: Preprocessing 3
% 0.15/0.48
% 0.15/0.48 % (21717)Memory used [KB]: 1151
% 0.15/0.48 % (21717)Time elapsed: 0.003 s
% 0.15/0.48 % (21717)Instructions burned: 6 (million)
% 0.15/0.48 % (21717)------------------------------
% 0.15/0.48 % (21717)------------------------------
% 0.15/0.48 % (21720)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.15/0.49 % (21719)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2998ds/902Mi)
% 0.15/0.49 % (21721)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.15/0.49 % (21720)Instruction limit reached!
% 0.15/0.49 % (21720)------------------------------
% 0.15/0.49 % (21720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.49 % (21720)Termination reason: Unknown
% 0.15/0.49 % (21720)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (21720)Memory used [KB]: 5884
% 0.15/0.49 % (21720)Time elapsed: 0.008 s
% 0.15/0.49 % (21720)Instructions burned: 21 (million)
% 0.15/0.49 % (21720)------------------------------
% 0.15/0.49 % (21720)------------------------------
% 0.15/0.49 % (21721)Instruction limit reached!
% 0.15/0.49 % (21721)------------------------------
% 0.15/0.49 % (21721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.49 % (21721)Termination reason: Unknown
% 0.15/0.49 % (21721)Termination phase: Property scanning
% 0.15/0.49
% 0.15/0.49 % (21721)Memory used [KB]: 1023
% 0.15/0.49 % (21721)Time elapsed: 0.003 s
% 0.15/0.49 % (21721)Instructions burned: 8 (million)
% 0.15/0.49 % (21721)------------------------------
% 0.15/0.49 % (21721)------------------------------
% 0.15/0.49 % (21696)Instruction limit reached!
% 0.15/0.49 % (21696)------------------------------
% 0.15/0.49 % (21696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.49 % (21696)Termination reason: Unknown
% 0.15/0.49 % (21696)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (21696)Memory used [KB]: 7036
% 0.15/0.49 % (21696)Time elapsed: 0.059 s
% 0.15/0.49 % (21696)Instructions burned: 184 (million)
% 0.15/0.49 % (21696)------------------------------
% 0.15/0.49 % (21696)------------------------------
% 0.15/0.50 % (21723)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.15/0.50 % (21724)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.15/0.50 % (21725)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.15/0.51 % (21725)Instruction limit reached!
% 0.15/0.51 % (21725)------------------------------
% 0.15/0.51 % (21725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (21725)Termination reason: Unknown
% 0.15/0.51 % (21725)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (21725)Memory used [KB]: 5628
% 0.15/0.51 % (21725)Time elapsed: 0.007 s
% 0.15/0.51 % (21725)Instructions burned: 21 (million)
% 0.15/0.51 % (21725)------------------------------
% 0.15/0.51 % (21725)------------------------------
% 0.15/0.51 % (21722)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.15/0.51 % (21722)Instruction limit reached!
% 0.15/0.51 % (21722)------------------------------
% 0.15/0.51 % (21722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (21722)Termination reason: Unknown
% 0.15/0.51 % (21722)Termination phase: Property scanning
% 0.15/0.51
% 0.15/0.51 % (21722)Memory used [KB]: 1023
% 0.15/0.51 % (21722)Time elapsed: 0.004 s
% 0.15/0.51 % (21722)Instructions burned: 9 (million)
% 0.15/0.51 % (21722)------------------------------
% 0.15/0.51 % (21722)------------------------------
% 0.15/0.52 % (21726)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.15/0.52 % (21727)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.15/0.53 % (21727)Instruction limit reached!
% 0.15/0.53 % (21727)------------------------------
% 0.15/0.53 % (21727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.53 % (21727)Termination reason: Unknown
% 0.15/0.53 % (21727)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (21727)Memory used [KB]: 5884
% 0.15/0.53 % (21727)Time elapsed: 0.010 s
% 0.15/0.53 % (21727)Instructions burned: 18 (million)
% 0.15/0.53 % (21727)------------------------------
% 0.15/0.53 % (21727)------------------------------
% 0.15/0.53 % (21701)Instruction limit reached!
% 0.15/0.53 % (21701)------------------------------
% 0.15/0.53 % (21701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.53 % (21701)Termination reason: Unknown
% 0.15/0.53 % (21701)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (21701)Memory used [KB]: 6396
% 0.15/0.53 % (21701)Time elapsed: 0.093 s
% 0.15/0.53 % (21701)Instructions burned: 277 (million)
% 0.15/0.53 % (21701)------------------------------
% 0.15/0.53 % (21701)------------------------------
% 0.15/0.54 % (21728)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 0.15/0.54 % (21729)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 0.15/0.54 % (21728)Instruction limit reached!
% 0.15/0.54 % (21728)------------------------------
% 0.15/0.54 % (21728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.54 % (21728)Termination reason: Unknown
% 0.15/0.54 % (21728)Termination phase: Preprocessing 1
% 0.15/0.54
% 0.15/0.54 % (21728)Memory used [KB]: 1023
% 0.15/0.54 % (21728)Time elapsed: 0.003 s
% 0.15/0.54 % (21728)Instructions burned: 4 (million)
% 0.15/0.54 % (21728)------------------------------
% 0.15/0.54 % (21728)------------------------------
% 0.15/0.56 % (21730)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 1.21/0.57 % (21729)Instruction limit reached!
% 1.21/0.57 % (21729)------------------------------
% 1.21/0.57 % (21729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.57 % (21729)Termination reason: Unknown
% 1.21/0.57 % (21729)Termination phase: Saturation
% 1.21/0.57
% 1.21/0.57 % (21729)Memory used [KB]: 6012
% 1.21/0.57 % (21729)Time elapsed: 0.039 s
% 1.21/0.57 % (21729)Instructions burned: 32 (million)
% 1.21/0.57 % (21729)------------------------------
% 1.21/0.57 % (21729)------------------------------
% 1.21/0.57 % (21731)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.33/0.60 % (21730)Instruction limit reached!
% 1.33/0.60 % (21730)------------------------------
% 1.33/0.60 % (21730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.60 % (21730)Termination reason: Unknown
% 1.33/0.60 % (21730)Termination phase: Saturation
% 1.33/0.60
% 1.33/0.60 % (21730)Memory used [KB]: 6652
% 1.33/0.60 % (21730)Time elapsed: 0.068 s
% 1.33/0.60 % (21730)Instructions burned: 129 (million)
% 1.33/0.60 % (21730)------------------------------
% 1.33/0.60 % (21730)------------------------------
% 1.33/0.61 % (21733)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.33/0.61 % (21733)Instruction limit reached!
% 1.33/0.61 % (21733)------------------------------
% 1.33/0.61 % (21733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.61 % (21733)Termination reason: Unknown
% 1.33/0.61 % (21733)Termination phase: Property scanning
% 1.33/0.61
% 1.33/0.61 % (21733)Memory used [KB]: 1023
% 1.33/0.61 % (21733)Time elapsed: 0.003 s
% 1.33/0.61 % (21733)Instructions burned: 7 (million)
% 1.33/0.61 % (21733)------------------------------
% 1.33/0.61 % (21733)------------------------------
% 1.33/0.61 % (21731)Instruction limit reached!
% 1.33/0.61 % (21731)------------------------------
% 1.33/0.61 % (21731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.61 % (21731)Termination reason: Unknown
% 1.33/0.61 % (21731)Termination phase: Saturation
% 1.33/0.61
% 1.33/0.61 % (21731)Memory used [KB]: 6268
% 1.33/0.61 % (21731)Time elapsed: 0.060 s
% 1.33/0.61 % (21731)Instructions burned: 101 (million)
% 1.33/0.61 % (21731)------------------------------
% 1.33/0.61 % (21731)------------------------------
% 1.33/0.62 % (21734)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.33/0.62 % (21735)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.70/0.62 % (21734)Instruction limit reached!
% 1.70/0.62 % (21734)------------------------------
% 1.70/0.62 % (21734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.70/0.62 % (21734)Termination reason: Unknown
% 1.70/0.62 % (21734)Termination phase: Saturation
% 1.70/0.62
% 1.70/0.62 % (21734)Memory used [KB]: 5884
% 1.70/0.62 % (21734)Time elapsed: 0.007 s
% 1.70/0.62 % (21734)Instructions burned: 20 (million)
% 1.70/0.62 % (21734)------------------------------
% 1.70/0.62 % (21734)------------------------------
% 1.70/0.63 % (21736)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2996ds/107Mi)
% 1.70/0.63 % (21723)Instruction limit reached!
% 1.70/0.63 % (21723)------------------------------
% 1.70/0.63 % (21723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.70/0.63 % (21723)Termination reason: Unknown
% 1.70/0.63 % (21723)Termination phase: Saturation
% 1.70/0.63
% 1.70/0.63 % (21723)Memory used [KB]: 7164
% 1.70/0.63 % (21723)Time elapsed: 0.137 s
% 1.70/0.63 % (21723)Instructions burned: 378 (million)
% 1.70/0.63 % (21723)------------------------------
% 1.70/0.63 % (21723)------------------------------
% 1.83/0.64 % (21737)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 1.83/0.65 % (21735)Instruction limit reached!
% 1.83/0.65 % (21735)------------------------------
% 1.83/0.65 % (21735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.65 % (21735)Termination reason: Unknown
% 1.83/0.65 % (21735)Termination phase: Saturation
% 1.83/0.65
% 1.83/0.65 % (21735)Memory used [KB]: 6652
% 1.83/0.65 % (21735)Time elapsed: 0.053 s
% 1.83/0.65 % (21735)Instructions burned: 88 (million)
% 1.83/0.65 % (21735)------------------------------
% 1.83/0.65 % (21735)------------------------------
% 1.83/0.66 % (21737)Instruction limit reached!
% 1.83/0.66 % (21737)------------------------------
% 1.83/0.66 % (21737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.66 % (21737)Termination reason: Unknown
% 1.83/0.66 % (21737)Termination phase: Saturation
% 1.83/0.66
% 1.83/0.66 % (21737)Memory used [KB]: 5628
% 1.83/0.66 % (21737)Time elapsed: 0.036 s
% 1.83/0.66 % (21737)Instructions burned: 39 (million)
% 1.83/0.66 % (21737)------------------------------
% 1.83/0.66 % (21737)------------------------------
% 1.83/0.66 % (21738)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 1.83/0.66 % (21739)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 1.83/0.67 % (21736)Instruction limit reached!
% 1.83/0.67 % (21736)------------------------------
% 1.83/0.67 % (21736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.67 % (21736)Termination reason: Unknown
% 1.83/0.67 % (21736)Termination phase: Saturation
% 1.83/0.67
% 1.83/0.67 % (21736)Memory used [KB]: 6524
% 1.83/0.67 % (21736)Time elapsed: 0.061 s
% 1.83/0.67 % (21736)Instructions burned: 109 (million)
% 1.83/0.67 % (21736)------------------------------
% 1.83/0.67 % (21736)------------------------------
% 1.83/0.68 % (21740)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 1.83/0.68 % (21739)Instruction limit reached!
% 1.83/0.68 % (21739)------------------------------
% 1.83/0.68 % (21739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.68 % (21739)Termination reason: Unknown
% 1.83/0.68 % (21739)Termination phase: Saturation
% 1.83/0.68
% 1.83/0.68 % (21739)Memory used [KB]: 6012
% 1.83/0.68 % (21739)Time elapsed: 0.015 s
% 1.83/0.68 % (21739)Instructions burned: 46 (million)
% 1.83/0.68 % (21739)------------------------------
% 1.83/0.68 % (21739)------------------------------
% 1.83/0.69 % (21741)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 1.83/0.71 % (21740)Instruction limit reached!
% 1.83/0.71 % (21740)------------------------------
% 1.83/0.71 % (21740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.83/0.71 % (21740)Termination reason: Unknown
% 1.83/0.71 % (21740)Termination phase: Saturation
% 1.83/0.71
% 1.83/0.71 % (21740)Memory used [KB]: 1407
% 1.83/0.71 % (21740)Time elapsed: 0.031 s
% 1.83/0.71 % (21740)Instructions burned: 98 (million)
% 1.83/0.71 % (21740)------------------------------
% 1.83/0.71 % (21740)------------------------------
% 2.34/0.72 % (21742)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 2.34/0.73 % (21716)Refutation not found, non-redundant clauses discarded% (21716)------------------------------
% 2.34/0.73 % (21716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.34/0.73 % (21716)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.34/0.73
% 2.34/0.73 % (21716)Memory used [KB]: 8827
% 2.34/0.73 % (21716)Time elapsed: 0.260 s
% 2.34/0.73 % (21716)Instructions burned: 696 (million)
% 2.34/0.73 % (21716)------------------------------
% 2.34/0.73 % (21716)------------------------------
% 2.34/0.74 % (21743)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 2.34/0.75 % (21742)Instruction limit reached!
% 2.34/0.75 % (21742)------------------------------
% 2.34/0.75 % (21742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.34/0.75 % (21742)Termination reason: Unknown
% 2.34/0.75 % (21742)Termination phase: Saturation
% 2.34/0.75
% 2.34/0.75 % (21742)Memory used [KB]: 5884
% 2.34/0.75 % (21742)Time elapsed: 0.039 s
% 2.34/0.75 % (21742)Instructions burned: 149 (million)
% 2.34/0.75 % (21742)------------------------------
% 2.34/0.75 % (21742)------------------------------
% 2.34/0.76 % (21743)Instruction limit reached!
% 2.34/0.76 % (21743)------------------------------
% 2.34/0.76 % (21743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.34/0.76 % (21743)Termination reason: Unknown
% 2.34/0.76 % (21743)Termination phase: Saturation
% 2.34/0.76
% 2.34/0.76 % (21743)Memory used [KB]: 6012
% 2.34/0.76 % (21743)Time elapsed: 0.016 s
% 2.34/0.76 % (21743)Instructions burned: 41 (million)
% 2.34/0.76 % (21743)------------------------------
% 2.34/0.76 % (21743)------------------------------
% 2.34/0.76 % (21744)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.34/0.76 % (21744)Instruction limit reached!
% 2.34/0.76 % (21744)------------------------------
% 2.34/0.76 % (21744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.34/0.76 % (21744)Termination reason: Unknown
% 2.34/0.76 % (21744)Termination phase: Property scanning
% 2.34/0.76
% 2.34/0.76 % (21744)Memory used [KB]: 1023
% 2.34/0.76 % (21744)Time elapsed: 0.003 s
% 2.34/0.76 % (21744)Instructions burned: 6 (million)
% 2.34/0.76 % (21744)------------------------------
% 2.34/0.76 % (21744)------------------------------
% 2.34/0.77 % (21745)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 2.66/0.77 % (21746)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 2.66/0.79 % (21724)Instruction limit reached!
% 2.66/0.79 % (21724)------------------------------
% 2.66/0.79 % (21724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.79 % (21719)Instruction limit reached!
% 2.66/0.79 % (21719)------------------------------
% 2.66/0.79 % (21719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.79 % (21724)Termination reason: Unknown
% 2.66/0.79 % (21724)Termination phase: Saturation
% 2.66/0.79
% 2.66/0.79 % (21724)Memory used [KB]: 6908
% 2.66/0.79 % (21724)Time elapsed: 0.305 s
% 2.66/0.79 % (21724)Instructions burned: 779 (million)
% 2.66/0.79 % (21724)------------------------------
% 2.66/0.79 % (21724)------------------------------
% 2.66/0.79 % (21719)Termination reason: Unknown
% 2.66/0.79 % (21719)Termination phase: Saturation
% 2.66/0.79
% 2.66/0.79 % (21719)Memory used [KB]: 7419
% 2.66/0.79 % (21719)Time elapsed: 0.320 s
% 2.66/0.79 % (21719)Instructions burned: 903 (million)
% 2.66/0.79 % (21719)------------------------------
% 2.66/0.79 % (21719)------------------------------
% 2.66/0.79 % (21746)Instruction limit reached!
% 2.66/0.79 % (21746)------------------------------
% 2.66/0.79 % (21746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.79 % (21746)Termination reason: Unknown
% 2.66/0.79 % (21746)Termination phase: Saturation
% 2.66/0.79
% 2.66/0.79 % (21746)Memory used [KB]: 6140
% 2.66/0.79 % (21746)Time elapsed: 0.017 s
% 2.66/0.79 % (21746)Instructions burned: 49 (million)
% 2.66/0.79 % (21746)------------------------------
% 2.66/0.79 % (21746)------------------------------
% 2.66/0.79 % (21738)Instruction limit reached!
% 2.66/0.79 % (21738)------------------------------
% 2.66/0.79 % (21738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.79 % (21738)Termination reason: Unknown
% 2.66/0.79 % (21738)Termination phase: Saturation
% 2.66/0.79
% 2.66/0.79 % (21738)Memory used [KB]: 7164
% 2.66/0.79 % (21738)Time elapsed: 0.156 s
% 2.66/0.79 % (21738)Instructions burned: 448 (million)
% 2.66/0.79 % (21738)------------------------------
% 2.66/0.79 % (21738)------------------------------
% 2.66/0.79 % (21707)Instruction limit reached!
% 2.66/0.79 % (21707)------------------------------
% 2.66/0.79 % (21707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.79 % (21707)Termination reason: Unknown
% 2.66/0.79 % (21707)Termination phase: Saturation
% 2.66/0.79
% 2.66/0.79 % (21707)Memory used [KB]: 6908
% 2.66/0.79 % (21707)Time elapsed: 0.333 s
% 2.66/0.79 % (21707)Instructions burned: 1043 (million)
% 2.66/0.79 % (21707)------------------------------
% 2.66/0.79 % (21707)------------------------------
% 2.66/0.79 % (21748)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 2.66/0.79 % (21747)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 2.66/0.80 % (21750)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 2.66/0.80 % (21751)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.66/0.80 % (21749)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.66/0.80 % (21726)Instruction limit reached!
% 2.66/0.80 % (21726)------------------------------
% 2.66/0.80 % (21726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.80 % (21726)Termination reason: Unknown
% 2.66/0.80 % (21726)Termination phase: Saturation
% 2.66/0.80
% 2.66/0.80 % (21726)Memory used [KB]: 7803
% 2.66/0.80 % (21726)Time elapsed: 0.285 s
% 2.66/0.80 % (21726)Instructions burned: 879 (million)
% 2.66/0.80 % (21726)------------------------------
% 2.66/0.80 % (21726)------------------------------
% 2.66/0.81 % (21750)Instruction limit reached!
% 2.66/0.81 % (21750)------------------------------
% 2.66/0.81 % (21750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.81 % (21750)Termination reason: Unknown
% 2.66/0.81 % (21750)Termination phase: Saturation
% 2.66/0.81
% 2.66/0.81 % (21750)Memory used [KB]: 6012
% 2.66/0.81 % (21750)Time elapsed: 0.012 s
% 2.66/0.81 % (21750)Instructions burned: 31 (million)
% 2.66/0.81 % (21750)------------------------------
% 2.66/0.81 % (21750)------------------------------
% 2.66/0.81 % (21747)Instruction limit reached!
% 2.66/0.81 % (21747)------------------------------
% 2.66/0.81 % (21747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.81 % (21747)Termination reason: Unknown
% 2.66/0.81 % (21747)Termination phase: Saturation
% 2.66/0.81
% 2.66/0.81 % (21747)Memory used [KB]: 1279
% 2.66/0.81 % (21747)Time elapsed: 0.014 s
% 2.66/0.81 % (21747)Instructions burned: 44 (million)
% 2.66/0.81 % (21747)------------------------------
% 2.66/0.81 % (21747)------------------------------
% 2.66/0.81 % (21752)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 2.66/0.82 % (21754)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 2.66/0.82 % (21753)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2994ds/71Mi)
% 2.66/0.83 % (21749)Instruction limit reached!
% 2.66/0.83 % (21749)------------------------------
% 2.66/0.83 % (21749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.83 % (21749)Termination reason: Unknown
% 2.66/0.83 % (21749)Termination phase: Saturation
% 2.66/0.83
% 2.66/0.83 % (21749)Memory used [KB]: 5756
% 2.66/0.83 % (21749)Time elapsed: 0.027 s
% 2.66/0.83 % (21749)Instructions burned: 62 (million)
% 2.66/0.83 % (21749)------------------------------
% 2.66/0.83 % (21749)------------------------------
% 2.66/0.83 % (21751)Instruction limit reached!
% 2.66/0.83 % (21751)------------------------------
% 2.66/0.83 % (21751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.83 % (21751)Termination reason: Unknown
% 2.66/0.83 % (21751)Termination phase: Saturation
% 2.66/0.83
% 2.66/0.83 % (21751)Memory used [KB]: 6268
% 2.66/0.83 % (21751)Time elapsed: 0.034 s
% 2.66/0.83 % (21751)Instructions burned: 98 (million)
% 2.66/0.83 % (21751)------------------------------
% 2.66/0.83 % (21751)------------------------------
% 2.66/0.83 % (21755)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 2.66/0.84 % (21755)Instruction limit reached!
% 2.66/0.84 % (21755)------------------------------
% 2.66/0.84 % (21755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.84 % (21755)Termination reason: Unknown
% 2.66/0.84 % (21755)Termination phase: Saturation
% 2.66/0.84
% 2.66/0.84 % (21755)Memory used [KB]: 1023
% 2.66/0.84 % (21755)Time elapsed: 0.004 s
% 2.66/0.84 % (21755)Instructions burned: 11 (million)
% 2.66/0.84 % (21755)------------------------------
% 2.66/0.84 % (21755)------------------------------
% 2.66/0.84 % (21756)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 2.66/0.84 % (21754)Instruction limit reached!
% 2.66/0.84 % (21754)------------------------------
% 2.66/0.84 % (21754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.84 % (21754)Termination reason: Unknown
% 2.66/0.84 % (21754)Termination phase: Saturation
% 2.66/0.84
% 2.66/0.84 % (21754)Memory used [KB]: 6140
% 2.66/0.84 % (21754)Time elapsed: 0.030 s
% 2.66/0.84 % (21754)Instructions burned: 85 (million)
% 2.66/0.84 % (21754)------------------------------
% 2.66/0.84 % (21754)------------------------------
% 2.66/0.85 % (21757)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 2.66/0.85 % (21757)Instruction limit reached!
% 2.66/0.85 % (21757)------------------------------
% 2.66/0.85 % (21757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.66/0.85 % (21757)Termination reason: Unknown
% 2.66/0.85 % (21757)Termination phase: Preprocessing 3
% 2.66/0.85
% 2.66/0.85 % (21757)Memory used [KB]: 1151
% 2.66/0.85 % (21757)Time elapsed: 0.003 s
% 2.66/0.85 % (21757)Instructions burned: 6 (million)
% 2.66/0.85 % (21757)------------------------------
% 2.66/0.85 % (21757)------------------------------
% 3.12/0.85 % (21756)Instruction limit reached!
% 3.12/0.85 % (21756)------------------------------
% 3.12/0.85 % (21756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.85 % (21756)Termination reason: Unknown
% 3.12/0.85 % (21756)Termination phase: Saturation
% 3.12/0.85
% 3.12/0.85 % (21756)Memory used [KB]: 5756
% 3.12/0.85 % (21756)Time elapsed: 0.013 s
% 3.12/0.85 % (21756)Instructions burned: 42 (million)
% 3.12/0.85 % (21756)------------------------------
% 3.12/0.85 % (21756)------------------------------
% 3.12/0.85 % (21758)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.12/0.85 % (21759)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2994ds/343Mi)
% 3.12/0.86 % (21760)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2994ds/109Mi)
% 3.12/0.86 % (21753)Instruction limit reached!
% 3.12/0.86 % (21753)------------------------------
% 3.12/0.86 % (21753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.86 % (21753)Termination reason: Unknown
% 3.12/0.86 % (21753)Termination phase: Saturation
% 3.12/0.86
% 3.12/0.86 % (21753)Memory used [KB]: 6268
% 3.12/0.86 % (21753)Time elapsed: 0.039 s
% 3.12/0.86 % (21753)Instructions burned: 71 (million)
% 3.12/0.86 % (21753)------------------------------
% 3.12/0.86 % (21753)------------------------------
% 3.12/0.86 % (21741)Instruction limit reached!
% 3.12/0.86 % (21741)------------------------------
% 3.12/0.86 % (21741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.12/0.86 % (21741)Termination reason: Unknown
% 3.12/0.86 % (21741)Termination phase: Saturation
% 3.12/0.86
% 3.12/0.86 % (21741)Memory used [KB]: 6908
% 3.12/0.86 % (21741)Time elapsed: 0.174 s
% 3.12/0.86 % (21741)Instructions burned: 508 (million)
% 3.12/0.86 % (21741)------------------------------
% 3.12/0.86 % (21741)------------------------------
% 3.12/0.87 % (21761)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 3.12/0.87 % (21762)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.38/0.89 % (21760)Instruction limit reached!
% 3.38/0.89 % (21760)------------------------------
% 3.38/0.89 % (21760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.38/0.89 % (21760)Termination reason: Unknown
% 3.38/0.89 % (21760)Termination phase: Saturation
% 3.38/0.89
% 3.38/0.89 % (21760)Memory used [KB]: 6652
% 3.38/0.89 % (21760)Time elapsed: 0.036 s
% 3.38/0.89 % (21760)Instructions burned: 110 (million)
% 3.38/0.89 % (21760)------------------------------
% 3.38/0.89 % (21760)------------------------------
% 3.38/0.90 % (21763)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 3.38/0.90 % (21758)Instruction limit reached!
% 3.38/0.90 % (21758)------------------------------
% 3.38/0.90 % (21758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.38/0.90 % (21758)Termination reason: Unknown
% 3.38/0.90 % (21758)Termination phase: Saturation
% 3.38/0.90
% 3.38/0.90 % (21758)Memory used [KB]: 6524
% 3.38/0.90 % (21758)Time elapsed: 0.053 s
% 3.38/0.90 % (21758)Instructions burned: 152 (million)
% 3.38/0.90 % (21758)------------------------------
% 3.38/0.90 % (21758)------------------------------
% 3.38/0.91 % (21748)Instruction limit reached!
% 3.38/0.91 % (21748)------------------------------
% 3.38/0.91 % (21748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.38/0.91 % (21748)Termination reason: Unknown
% 3.38/0.91 % (21748)Termination phase: Saturation
% 3.38/0.91
% 3.38/0.91 % (21748)Memory used [KB]: 3454
% 3.38/0.91 % (21748)Time elapsed: 0.118 s
% 3.38/0.91 % (21748)Instructions burned: 435 (million)
% 3.38/0.91 % (21748)------------------------------
% 3.38/0.91 % (21748)------------------------------
% 3.38/0.91 % (21764)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 3.38/0.92 % (21765)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2994ds/339Mi)
% 3.62/0.93 % (21762)Instruction limit reached!
% 3.62/0.93 % (21762)------------------------------
% 3.62/0.93 % (21762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.62/0.93 % (21762)Termination reason: Unknown
% 3.62/0.93 % (21762)Termination phase: Saturation
% 3.62/0.93
% 3.62/0.93 % (21762)Memory used [KB]: 6652
% 3.62/0.93 % (21762)Time elapsed: 0.059 s
% 3.62/0.93 % (21762)Instructions burned: 141 (million)
% 3.62/0.93 % (21762)------------------------------
% 3.62/0.93 % (21762)------------------------------
% 3.62/0.94 % (21766)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 3.68/0.95 % (21752)Instruction limit reached!
% 3.68/0.95 % (21752)------------------------------
% 3.68/0.95 % (21752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.68/0.95 % (21752)Termination reason: Unknown
% 3.68/0.95 % (21752)Termination phase: Saturation
% 3.68/0.95
% 3.68/0.95 % (21752)Memory used [KB]: 6524
% 3.68/0.95 % (21752)Time elapsed: 0.140 s
% 3.68/0.95 % (21752)Instructions burned: 453 (million)
% 3.68/0.95 % (21752)------------------------------
% 3.68/0.95 % (21752)------------------------------
% 3.68/0.95 % (21767)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2993ds/134Mi)
% 3.68/0.96 % (21759)Instruction limit reached!
% 3.68/0.96 % (21759)------------------------------
% 3.68/0.96 % (21759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.68/0.96 % (21759)Termination reason: Unknown
% 3.68/0.96 % (21759)Termination phase: Saturation
% 3.68/0.96
% 3.68/0.96 % (21759)Memory used [KB]: 7036
% 3.68/0.96 % (21759)Time elapsed: 0.111 s
% 3.68/0.96 % (21759)Instructions burned: 343 (million)
% 3.68/0.96 % (21759)------------------------------
% 3.68/0.96 % (21759)------------------------------
% 3.68/0.96 % (21761)Instruction limit reached!
% 3.68/0.96 % (21761)------------------------------
% 3.68/0.96 % (21761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.68/0.96 % (21761)Termination reason: Unknown
% 3.68/0.96 % (21761)Termination phase: Saturation
% 3.68/0.96
% 3.68/0.96 % (21761)Memory used [KB]: 7036
% 3.68/0.96 % (21761)Time elapsed: 0.098 s
% 3.68/0.96 % (21761)Instructions burned: 255 (million)
% 3.68/0.96 % (21761)------------------------------
% 3.68/0.96 % (21761)------------------------------
% 3.68/0.97 % (21768)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2993ds/298Mi)
% 3.68/0.97 % (21769)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2993ds/192Mi)
% 3.68/0.98 % (21764)Instruction limit reached!
% 3.68/0.98 % (21764)------------------------------
% 3.68/0.98 % (21764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.68/0.98 % (21764)Termination reason: Unknown
% 3.68/0.98 % (21764)Termination phase: Saturation
% 3.68/0.98
% 3.68/0.98 % (21764)Memory used [KB]: 6780
% 3.68/0.98 % (21764)Time elapsed: 0.071 s
% 3.68/0.98 % (21764)Instructions burned: 204 (million)
% 3.68/0.98 % (21764)------------------------------
% 3.68/0.98 % (21764)------------------------------
% 3.68/1.00 % (21770)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2993ds/258Mi)
% 3.68/1.00 % (21767)Instruction limit reached!
% 3.68/1.00 % (21767)------------------------------
% 3.68/1.00 % (21767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.68/1.00 % (21767)Termination reason: Unknown
% 3.68/1.00 % (21767)Termination phase: Saturation
% 3.68/1.00
% 3.68/1.01 % (21767)Memory used [KB]: 6652
% 3.68/1.01 % (21767)Time elapsed: 0.052 s
% 3.68/1.01 % (21767)Instructions burned: 134 (million)
% 3.68/1.01 % (21767)------------------------------
% 3.68/1.01 % (21767)------------------------------
% 3.68/1.01 % (21771)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 4.19/1.03 % (21766)Instruction limit reached!
% 4.19/1.03 % (21766)------------------------------
% 4.19/1.03 % (21766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.03 % (21766)Termination reason: Unknown
% 4.19/1.03 % (21766)Termination phase: Saturation
% 4.19/1.03
% 4.19/1.03 % (21766)Memory used [KB]: 7675
% 4.19/1.03 % (21766)Time elapsed: 0.090 s
% 4.19/1.03 % (21766)Instructions burned: 285 (million)
% 4.19/1.03 % (21766)------------------------------
% 4.19/1.03 % (21766)------------------------------
% 4.19/1.03 % (21765)Instruction limit reached!
% 4.19/1.03 % (21765)------------------------------
% 4.19/1.03 % (21765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.03 % (21765)Termination reason: Unknown
% 4.19/1.03 % (21765)Termination phase: Saturation
% 4.19/1.03
% 4.19/1.03 % (21765)Memory used [KB]: 6652
% 4.19/1.03 % (21765)Time elapsed: 0.113 s
% 4.19/1.03 % (21765)Instructions burned: 339 (million)
% 4.19/1.03 % (21765)------------------------------
% 4.19/1.03 % (21765)------------------------------
% 4.19/1.03 % (21772)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2992ds/231Mi)
% 4.19/1.04 % (21769)Instruction limit reached!
% 4.19/1.04 % (21769)------------------------------
% 4.19/1.04 % (21769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.04 % (21769)Termination reason: Unknown
% 4.19/1.04 % (21769)Termination phase: Saturation
% 4.19/1.04
% 4.19/1.04 % (21769)Memory used [KB]: 7164
% 4.19/1.04 % (21769)Time elapsed: 0.063 s
% 4.19/1.04 % (21769)Instructions burned: 192 (million)
% 4.19/1.04 % (21769)------------------------------
% 4.19/1.04 % (21769)------------------------------
% 4.19/1.04 % (21773)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2992ds/458Mi)
% 4.19/1.04 % (21774)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2992ds/31Mi)
% 4.19/1.04 % (21771)Instruction limit reached!
% 4.19/1.04 % (21771)------------------------------
% 4.19/1.04 % (21771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.04 % (21771)Termination reason: Unknown
% 4.19/1.04 % (21771)Termination phase: Saturation
% 4.19/1.04
% 4.19/1.04 % (21771)Memory used [KB]: 6268
% 4.19/1.04 % (21771)Time elapsed: 0.032 s
% 4.19/1.04 % (21771)Instructions burned: 92 (million)
% 4.19/1.04 % (21771)------------------------------
% 4.19/1.04 % (21771)------------------------------
% 4.19/1.05 % (21775)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2992ds/297Mi)
% 4.19/1.05 % (21774)Instruction limit reached!
% 4.19/1.05 % (21774)------------------------------
% 4.19/1.05 % (21774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.05 % (21774)Termination reason: Unknown
% 4.19/1.05 % (21774)Termination phase: Saturation
% 4.19/1.05
% 4.19/1.05 % (21774)Memory used [KB]: 6012
% 4.19/1.05 % (21774)Time elapsed: 0.011 s
% 4.19/1.05 % (21774)Instructions burned: 32 (million)
% 4.19/1.05 % (21774)------------------------------
% 4.19/1.05 % (21774)------------------------------
% 4.19/1.06 % (21776)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2992ds/987Mi)
% 4.19/1.08 % (21768)Instruction limit reached!
% 4.19/1.08 % (21768)------------------------------
% 4.19/1.08 % (21768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.19/1.08 % (21768)Termination reason: Unknown
% 4.19/1.08 % (21768)Termination phase: Saturation
% 4.19/1.08
% 4.19/1.08 % (21768)Memory used [KB]: 6780
% 4.19/1.08 % (21768)Time elapsed: 0.105 s
% 4.19/1.08 % (21768)Instructions burned: 300 (million)
% 4.19/1.08 % (21768)------------------------------
% 4.19/1.08 % (21768)------------------------------
% 5.32/1.08 % (21777)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.32/1.10 % (21763)Instruction limit reached!
% 5.32/1.10 % (21763)------------------------------
% 5.32/1.10 % (21763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.10 % (21763)Termination reason: Unknown
% 5.32/1.10 % (21763)Termination phase: Saturation
% 5.32/1.10
% 5.32/1.10 % (21763)Memory used [KB]: 8059
% 5.32/1.10 % (21763)Time elapsed: 0.197 s
% 5.32/1.10 % (21763)Instructions burned: 615 (million)
% 5.32/1.10 % (21763)------------------------------
% 5.32/1.10 % (21763)------------------------------
% 5.32/1.10 % (21770)Instruction limit reached!
% 5.32/1.10 % (21770)------------------------------
% 5.32/1.10 % (21770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.10 % (21770)Termination reason: Unknown
% 5.32/1.10 % (21770)Termination phase: Saturation
% 5.32/1.10
% 5.32/1.10 % (21770)Memory used [KB]: 6268
% 5.32/1.10 % (21770)Time elapsed: 0.101 s
% 5.32/1.10 % (21770)Instructions burned: 260 (million)
% 5.32/1.10 % (21770)------------------------------
% 5.32/1.10 % (21770)------------------------------
% 5.32/1.10 % (21778)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.32/1.11 % (21779)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2992ds/154Mi)
% 5.32/1.12 % (21772)Instruction limit reached!
% 5.32/1.12 % (21772)------------------------------
% 5.32/1.12 % (21772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.12 % (21772)Termination reason: Unknown
% 5.32/1.12 % (21772)Termination phase: Saturation
% 5.32/1.12
% 5.32/1.12 % (21772)Memory used [KB]: 6780
% 5.32/1.12 % (21772)Time elapsed: 0.103 s
% 5.32/1.12 % (21772)Instructions burned: 233 (million)
% 5.32/1.12 % (21772)------------------------------
% 5.32/1.12 % (21772)------------------------------
% 5.32/1.13 % (21780)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2991ds/79Mi)
% 5.32/1.14 % (21775)Instruction limit reached!
% 5.32/1.14 % (21775)------------------------------
% 5.32/1.14 % (21775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.14 % (21775)Termination reason: Unknown
% 5.32/1.14 % (21775)Termination phase: Saturation
% 5.32/1.14
% 5.32/1.14 % (21775)Memory used [KB]: 6012
% 5.32/1.14 % (21775)Time elapsed: 0.107 s
% 5.32/1.14 % (21775)Instructions burned: 297 (million)
% 5.32/1.14 % (21775)------------------------------
% 5.32/1.14 % (21775)------------------------------
% 5.32/1.14 % (21777)Instruction limit reached!
% 5.32/1.14 % (21777)------------------------------
% 5.32/1.14 % (21777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.14 % (21777)Termination reason: Unknown
% 5.32/1.14 % (21777)Termination phase: Saturation
% 5.32/1.14
% 5.32/1.14 % (21777)Memory used [KB]: 6140
% 5.32/1.14 % (21777)Time elapsed: 0.056 s
% 5.32/1.14 % (21777)Instructions burned: 184 (million)
% 5.32/1.14 % (21777)------------------------------
% 5.32/1.14 % (21777)------------------------------
% 5.32/1.14 % (21781)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2991ds/216Mi)
% 5.32/1.15 % (21782)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2991ds/114Mi)
% 5.32/1.15 % (21745)Instruction limit reached!
% 5.32/1.15 % (21745)------------------------------
% 5.32/1.15 % (21745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.15 % (21745)Termination reason: Unknown
% 5.32/1.15 % (21745)Termination phase: Saturation
% 5.32/1.15
% 5.32/1.15 % (21745)Memory used [KB]: 8187
% 5.32/1.15 % (21745)Time elapsed: 0.385 s
% 5.32/1.15 % (21745)Instructions burned: 1089 (million)
% 5.32/1.15 % (21745)------------------------------
% 5.32/1.15 % (21745)------------------------------
% 5.32/1.16 % (21783)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2991ds/922Mi)
% 5.82/1.16 % (21780)Instruction limit reached!
% 5.82/1.16 % (21780)------------------------------
% 5.82/1.16 % (21780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.82/1.16 % (21780)Termination reason: Unknown
% 5.82/1.16 % (21780)Termination phase: Saturation
% 5.82/1.16
% 5.82/1.16 % (21780)Memory used [KB]: 6396
% 5.82/1.16 % (21780)Time elapsed: 0.051 s
% 5.82/1.16 % (21780)Instructions burned: 80 (million)
% 5.82/1.16 % (21780)------------------------------
% 5.82/1.16 % (21780)------------------------------
% 5.82/1.16 % (21778)Instruction limit reached!
% 5.82/1.16 % (21778)------------------------------
% 5.82/1.16 % (21778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.82/1.16 % (21778)Termination reason: Unknown
% 5.82/1.16 % (21778)Termination phase: Saturation
% 5.82/1.16
% 5.82/1.16 % (21778)Memory used [KB]: 6524
% 5.82/1.16 % (21778)Time elapsed: 0.081 s
% 5.82/1.16 % (21778)Instructions burned: 182 (million)
% 5.82/1.16 % (21778)------------------------------
% 5.82/1.16 % (21778)------------------------------
% 5.82/1.17 % (21784)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2991ds/182Mi)
% 5.82/1.17 % (21785)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2991ds/164Mi)
% 5.82/1.18 % (21779)Instruction limit reached!
% 5.82/1.18 % (21779)------------------------------
% 5.82/1.18 % (21779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.82/1.18 % (21779)Termination reason: Unknown
% 5.82/1.18 % (21779)Termination phase: Saturation
% 5.82/1.18
% 5.82/1.18 % (21779)Memory used [KB]: 6268
% 5.82/1.18 % (21779)Time elapsed: 0.094 s
% 5.82/1.18 % (21779)Instructions burned: 154 (million)
% 5.82/1.18 % (21779)------------------------------
% 5.82/1.18 % (21779)------------------------------
% 5.82/1.18 % (21782)Instruction limit reached!
% 5.82/1.18 % (21782)------------------------------
% 5.82/1.18 % (21782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.82/1.18 % (21782)Termination reason: Unknown
% 5.82/1.18 % (21782)Termination phase: Saturation
% 5.82/1.18
% 5.82/1.18 % (21782)Memory used [KB]: 6908
% 5.82/1.18 % (21782)Time elapsed: 0.035 s
% 5.82/1.18 % (21782)Instructions burned: 117 (million)
% 5.82/1.18 % (21782)------------------------------
% 5.82/1.18 % (21782)------------------------------
% 5.82/1.18 % (21773)Instruction limit reached!
% 5.82/1.18 % (21773)------------------------------
% 5.82/1.18 % (21773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.82/1.18 % (21773)Termination reason: Unknown
% 5.82/1.18 % (21773)Termination phase: Saturation
% 5.82/1.18
% 5.82/1.18 % (21773)Memory used [KB]: 7164
% 5.82/1.18 % (21773)Time elapsed: 0.145 s
% 5.82/1.18 % (21773)Instructions burned: 458 (million)
% 5.82/1.18 % (21773)------------------------------
% 5.82/1.18 % (21773)------------------------------
% 5.82/1.19 % (21786)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2991ds/50Mi)
% 5.82/1.19 % (21787)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2991ds/368Mi)
% 6.10/1.19 % (21788)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2991ds/1021Mi)
% 6.10/1.20 % (21781)Instruction limit reached!
% 6.10/1.20 % (21781)------------------------------
% 6.10/1.20 % (21781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.10/1.20 % (21781)Termination reason: Unknown
% 6.10/1.20 % (21781)Termination phase: Saturation
% 6.10/1.20
% 6.10/1.20 % (21781)Memory used [KB]: 5756
% 6.10/1.20 % (21781)Time elapsed: 0.053 s
% 6.10/1.20 % (21781)Instructions burned: 217 (million)
% 6.10/1.20 % (21781)------------------------------
% 6.10/1.20 % (21781)------------------------------
% 6.10/1.20 % (21786)Instruction limit reached!
% 6.10/1.20 % (21786)------------------------------
% 6.10/1.20 % (21786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.10/1.20 % (21786)Termination reason: Unknown
% 6.10/1.20 % (21786)Termination phase: Saturation
% 6.10/1.20
% 6.10/1.20 % (21786)Memory used [KB]: 10362
% 6.10/1.20 % (21786)Time elapsed: 0.017 s
% 6.10/1.20 % (21786)Instructions burned: 51 (million)
% 6.10/1.20 % (21786)------------------------------
% 6.10/1.20 % (21786)------------------------------
% 6.10/1.20 % (21789)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2991ds/267Mi)
% 6.10/1.21 % (21790)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2991ds/204Mi)
% 6.21/1.22 % (21785)Instruction limit reached!
% 6.21/1.22 % (21785)------------------------------
% 6.21/1.22 % (21785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.21/1.22 % (21785)Termination reason: Unknown
% 6.21/1.22 % (21785)Termination phase: Saturation
% 6.21/1.22
% 6.21/1.22 % (21785)Memory used [KB]: 1918
% 6.21/1.22 % (21785)Time elapsed: 0.056 s
% 6.21/1.22 % (21785)Instructions burned: 166 (million)
% 6.21/1.22 % (21785)------------------------------
% 6.21/1.22 % (21785)------------------------------
% 6.28/1.23 % (21784)Instruction limit reached!
% 6.28/1.23 % (21784)------------------------------
% 6.28/1.23 % (21784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.23 % (21784)Termination reason: Unknown
% 6.28/1.23 % (21784)Termination phase: Saturation
% 6.28/1.23
% 6.28/1.23 % (21784)Memory used [KB]: 5884
% 6.28/1.23 % (21784)Time elapsed: 0.066 s
% 6.28/1.23 % (21784)Instructions burned: 182 (million)
% 6.28/1.23 % (21784)------------------------------
% 6.28/1.23 % (21784)------------------------------
% 6.28/1.23 % (21791)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2990ds/26Mi)
% 6.28/1.24 % (21791)Instruction limit reached!
% 6.28/1.24 % (21791)------------------------------
% 6.28/1.24 % (21791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.24 % (21791)Termination reason: Unknown
% 6.28/1.24 % (21791)Termination phase: Saturation
% 6.28/1.24
% 6.28/1.24 % (21791)Memory used [KB]: 5628
% 6.28/1.24 % (21791)Time elapsed: 0.008 s
% 6.28/1.24 % (21791)Instructions burned: 26 (million)
% 6.28/1.24 % (21791)------------------------------
% 6.28/1.24 % (21791)------------------------------
% 6.28/1.24 % (21792)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2990ds/53Mi)
% 6.28/1.25 % (21793)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2990ds/4436Mi)
% 6.28/1.25 % (21792)Instruction limit reached!
% 6.28/1.25 % (21792)------------------------------
% 6.28/1.25 % (21792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.25 % (21792)Termination reason: Unknown
% 6.28/1.25 % (21792)Termination phase: Saturation
% 6.28/1.25
% 6.28/1.25 % (21792)Memory used [KB]: 5628
% 6.28/1.25 % (21792)Time elapsed: 0.016 s
% 6.28/1.25 % (21792)Instructions burned: 54 (million)
% 6.28/1.25 % (21792)------------------------------
% 6.28/1.25 % (21792)------------------------------
% 6.28/1.26 % (21794)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2990ds/1539Mi)
% 6.28/1.28 % (21790)Instruction limit reached!
% 6.28/1.28 % (21790)------------------------------
% 6.28/1.28 % (21790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.28 % (21790)Termination reason: Unknown
% 6.28/1.28 % (21790)Termination phase: Saturation
% 6.28/1.28
% 6.28/1.28 % (21790)Memory used [KB]: 6396
% 6.28/1.28 % (21790)Time elapsed: 0.068 s
% 6.28/1.28 % (21790)Instructions burned: 205 (million)
% 6.28/1.28 % (21790)------------------------------
% 6.28/1.28 % (21790)------------------------------
% 6.28/1.28 % (21795)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2990ds/408Mi)
% 6.28/1.29 % (21789)Instruction limit reached!
% 6.28/1.29 % (21789)------------------------------
% 6.28/1.29 % (21789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.28/1.29 % (21789)Termination reason: Unknown
% 6.28/1.29 % (21789)Termination phase: Saturation
% 6.28/1.29
% 6.28/1.29 % (21789)Memory used [KB]: 6396
% 6.28/1.29 % (21789)Time elapsed: 0.087 s
% 6.28/1.29 % (21789)Instructions burned: 269 (million)
% 6.28/1.29 % (21789)------------------------------
% 6.28/1.29 % (21789)------------------------------
% 6.28/1.30 % (21796)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2990ds/5205Mi)
% 6.63/1.31 % (21787)Instruction limit reached!
% 6.63/1.31 % (21787)------------------------------
% 6.63/1.31 % (21787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.63/1.31 % (21787)Termination reason: Unknown
% 6.63/1.31 % (21787)Termination phase: Saturation
% 6.63/1.31
% 6.63/1.31 % (21787)Memory used [KB]: 8059
% 6.63/1.31 % (21787)Time elapsed: 0.126 s
% 6.63/1.31 % (21787)Instructions burned: 370 (million)
% 6.63/1.31 % (21787)------------------------------
% 6.63/1.31 % (21787)------------------------------
% 6.63/1.32 % (21797)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2989ds/1913Mi)
% 6.83/1.37 % (21776)Instruction limit reached!
% 6.83/1.37 % (21776)------------------------------
% 6.83/1.37 % (21776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.37 % (21776)Termination reason: Unknown
% 6.83/1.37 % (21776)Termination phase: Saturation
% 6.83/1.37
% 6.83/1.37 % (21776)Memory used [KB]: 6908
% 6.83/1.37 % (21776)Time elapsed: 0.332 s
% 6.83/1.37 % (21776)Instructions burned: 988 (million)
% 6.83/1.37 % (21776)------------------------------
% 6.83/1.37 % (21776)------------------------------
% 6.83/1.38 % (21798)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2989ds/4350Mi)
% 6.83/1.40 % (21795)Refutation not found, non-redundant clauses discarded% (21795)------------------------------
% 6.83/1.40 % (21795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.40 % (21795)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.83/1.40
% 6.83/1.40 % (21795)Memory used [KB]: 7419
% 6.83/1.40 % (21795)Time elapsed: 0.121 s
% 6.83/1.40 % (21795)Instructions burned: 389 (million)
% 6.83/1.40 % (21795)------------------------------
% 6.83/1.40 % (21795)------------------------------
% 6.83/1.41 % (21799)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2989ds/68Mi)
% 6.83/1.43 % (21799)Instruction limit reached!
% 6.83/1.43 % (21799)------------------------------
% 6.83/1.43 % (21799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.43 % (21799)Termination reason: Unknown
% 6.83/1.43 % (21799)Termination phase: Saturation
% 6.83/1.43
% 6.83/1.43 % (21799)Memory used [KB]: 6268
% 6.83/1.43 % (21799)Time elapsed: 0.023 s
% 6.83/1.43 % (21799)Instructions burned: 68 (million)
% 6.83/1.43 % (21799)------------------------------
% 6.83/1.43 % (21799)------------------------------
% 6.83/1.44 % (21800)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2988ds/358Mi)
% 6.99/1.49 % (21788)Instruction limit reached!
% 6.99/1.49 % (21788)------------------------------
% 6.99/1.49 % (21788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.99/1.49 % (21788)Termination reason: Unknown
% 6.99/1.49 % (21788)Termination phase: Saturation
% 6.99/1.49
% 6.99/1.49 % (21788)Memory used [KB]: 8315
% 6.99/1.49 % (21788)Time elapsed: 0.298 s
% 6.99/1.49 % (21788)Instructions burned: 1023 (million)
% 6.99/1.49 % (21788)------------------------------
% 6.99/1.49 % (21788)------------------------------
% 6.99/1.50 % (21801)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2988ds/31Mi)
% 6.99/1.51 % (21801)Instruction limit reached!
% 6.99/1.51 % (21801)------------------------------
% 6.99/1.51 % (21801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.99/1.51 % (21801)Termination reason: Unknown
% 6.99/1.51 % (21801)Termination phase: Saturation
% 6.99/1.51
% 6.99/1.51 % (21801)Memory used [KB]: 6012
% 6.99/1.51 % (21801)Time elapsed: 0.012 s
% 6.99/1.51 % (21801)Instructions burned: 32 (million)
% 6.99/1.51 % (21801)------------------------------
% 6.99/1.51 % (21801)------------------------------
% 6.99/1.51 % (21802)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2988ds/279Mi)
% 6.99/1.52 % (21783)Instruction limit reached!
% 6.99/1.52 % (21783)------------------------------
% 6.99/1.52 % (21783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.99/1.52 % (21783)Termination reason: Unknown
% 6.99/1.52 % (21783)Termination phase: Saturation
% 6.99/1.52
% 6.99/1.52 % (21783)Memory used [KB]: 7931
% 6.99/1.52 % (21783)Time elapsed: 0.361 s
% 6.99/1.52 % (21783)Instructions burned: 923 (million)
% 6.99/1.52 % (21783)------------------------------
% 6.99/1.52 % (21783)------------------------------
% 7.69/1.53 % (21803)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2987ds/258Mi)
% 7.69/1.55 % (21800)Instruction limit reached!
% 7.69/1.55 % (21800)------------------------------
% 7.69/1.55 % (21800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.69/1.55 % (21800)Termination reason: Unknown
% 7.69/1.55 % (21800)Termination phase: Saturation
% 7.69/1.55
% 7.69/1.55 % (21800)Memory used [KB]: 6780
% 7.69/1.55 % (21800)Time elapsed: 0.113 s
% 7.69/1.55 % (21800)Instructions burned: 359 (million)
% 7.69/1.55 % (21800)------------------------------
% 7.69/1.55 % (21800)------------------------------
% 7.69/1.56 % (21804)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2987ds/26Mi)
% 7.69/1.57 % (21804)Instruction limit reached!
% 7.69/1.57 % (21804)------------------------------
% 7.69/1.57 % (21804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.69/1.57 % (21804)Termination reason: Unknown
% 7.69/1.57 % (21804)Termination phase: Saturation
% 7.69/1.57
% 7.69/1.57 % (21804)Memory used [KB]: 5628
% 7.69/1.57 % (21804)Time elapsed: 0.009 s
% 7.69/1.57 % (21804)Instructions burned: 28 (million)
% 7.69/1.57 % (21804)------------------------------
% 7.69/1.57 % (21804)------------------------------
% 7.69/1.58 % (21805)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2987ds/995Mi)
% 7.69/1.60 % (21802)Instruction limit reached!
% 7.69/1.60 % (21802)------------------------------
% 7.69/1.60 % (21802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.69/1.60 % (21802)Termination reason: Unknown
% 7.69/1.60 % (21802)Termination phase: Saturation
% 7.69/1.60
% 7.69/1.60 % (21802)Memory used [KB]: 6268
% 7.69/1.60 % (21802)Time elapsed: 0.082 s
% 7.69/1.60 % (21802)Instructions burned: 282 (million)
% 7.69/1.60 % (21802)------------------------------
% 7.69/1.60 % (21802)------------------------------
% 7.69/1.60 % (21806)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2987ds/373Mi)
% 9.62/1.66 % (21803)Instruction limit reached!
% 9.62/1.66 % (21803)------------------------------
% 9.62/1.66 % (21803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.62/1.66 % (21803)Termination reason: Unknown
% 9.62/1.66 % (21803)Termination phase: Saturation
% 9.62/1.66
% 9.62/1.66 % (21803)Memory used [KB]: 7164
% 9.62/1.66 % (21803)Time elapsed: 0.131 s
% 9.62/1.66 % (21803)Instructions burned: 259 (million)
% 9.62/1.66 % (21803)------------------------------
% 9.62/1.66 % (21803)------------------------------
% 10.13/1.68 % (21807)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2986ds/253Mi)
% 10.13/1.72 % (21806)Instruction limit reached!
% 10.13/1.72 % (21806)------------------------------
% 10.13/1.72 % (21806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.13/1.72 % (21806)Termination reason: Unknown
% 10.13/1.72 % (21806)Termination phase: Saturation
% 10.13/1.72
% 10.13/1.72 % (21806)Memory used [KB]: 7547
% 10.13/1.72 % (21806)Time elapsed: 0.121 s
% 10.13/1.72 % (21806)Instructions burned: 376 (million)
% 10.13/1.72 % (21806)------------------------------
% 10.13/1.72 % (21806)------------------------------
% 10.13/1.73 % (21808)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2985ds/832Mi)
% 10.13/1.76 % (21807)Instruction limit reached!
% 10.13/1.76 % (21807)------------------------------
% 10.13/1.76 % (21807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.13/1.76 % (21807)Termination reason: Unknown
% 10.13/1.76 % (21807)Termination phase: Saturation
% 10.13/1.76
% 10.13/1.76 % (21807)Memory used [KB]: 6140
% 10.13/1.76 % (21807)Time elapsed: 0.104 s
% 10.13/1.76 % (21807)Instructions burned: 254 (million)
% 10.13/1.76 % (21807)------------------------------
% 10.13/1.76 % (21807)------------------------------
% 10.13/1.77 % (21809)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2985ds/668Mi)
% 10.13/1.77 % (21794)Instruction limit reached!
% 10.13/1.77 % (21794)------------------------------
% 10.13/1.77 % (21794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.13/1.77 % (21794)Termination reason: Unknown
% 10.13/1.77 % (21794)Termination phase: Saturation
% 10.13/1.77
% 10.13/1.77 % (21794)Memory used [KB]: 9210
% 10.13/1.77 % (21794)Time elapsed: 0.498 s
% 10.13/1.77 % (21794)Instructions burned: 1541 (million)
% 10.13/1.77 % (21794)------------------------------
% 10.13/1.77 % (21794)------------------------------
% 10.81/1.78 % (21810)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2985ds/40Mi)
% 10.88/1.79 % (21810)Instruction limit reached!
% 10.88/1.79 % (21810)------------------------------
% 10.88/1.79 % (21810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.88/1.79 % (21810)Termination reason: Unknown
% 10.88/1.79 % (21810)Termination phase: Saturation
% 10.88/1.79
% 10.88/1.79 % (21810)Memory used [KB]: 5628
% 10.88/1.79 % (21810)Time elapsed: 0.013 s
% 10.88/1.79 % (21810)Instructions burned: 43 (million)
% 10.88/1.79 % (21810)------------------------------
% 10.88/1.79 % (21810)------------------------------
% 10.88/1.80 % (21811)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2985ds/294Mi)
% 11.03/1.88 % (21797)Instruction limit reached!
% 11.03/1.88 % (21797)------------------------------
% 11.03/1.88 % (21797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.03/1.88 % (21797)Termination reason: Unknown
% 11.03/1.88 % (21797)Termination phase: Saturation
% 11.03/1.88
% 11.03/1.88 % (21797)Memory used [KB]: 3454
% 11.03/1.88 % (21797)Time elapsed: 0.557 s
% 11.03/1.88 % (21797)Instructions burned: 1913 (million)
% 11.03/1.88 % (21797)------------------------------
% 11.03/1.88 % (21797)------------------------------
% 11.03/1.88 % (21812)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2984ds/187Mi)
% 11.03/1.89 % (21805)Instruction limit reached!
% 11.03/1.89 % (21805)------------------------------
% 11.03/1.89 % (21805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.03/1.89 % (21805)Termination reason: Unknown
% 11.03/1.89 % (21805)Termination phase: Saturation
% 11.03/1.89
% 11.03/1.89 % (21805)Memory used [KB]: 7164
% 11.03/1.89 % (21805)Time elapsed: 0.314 s
% 11.03/1.89 % (21805)Instructions burned: 997 (million)
% 11.03/1.89 % (21805)------------------------------
% 11.03/1.89 % (21805)------------------------------
% 11.03/1.89 % (21811)Instruction limit reached!
% 11.03/1.89 % (21811)------------------------------
% 11.03/1.89 % (21811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.03/1.89 % (21811)Termination reason: Unknown
% 11.03/1.89 % (21811)Termination phase: Saturation
% 11.03/1.89
% 11.03/1.89 % (21811)Memory used [KB]: 6524
% 11.03/1.89 % (21811)Time elapsed: 0.093 s
% 11.03/1.89 % (21811)Instructions burned: 296 (million)
% 11.03/1.89 % (21811)------------------------------
% 11.03/1.89 % (21811)------------------------------
% 11.03/1.90 % (21813)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2984ds/371Mi)
% 11.03/1.90 % (21814)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2984ds/1827Mi)
% 11.54/1.92 % (21808)Instruction limit reached!
% 11.54/1.92 % (21808)------------------------------
% 11.54/1.92 % (21808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.54/1.92 % (21808)Termination reason: Unknown
% 11.54/1.92 % (21808)Termination phase: Saturation
% 11.54/1.92
% 11.54/1.92 % (21808)Memory used [KB]: 6652
% 11.54/1.92 % (21808)Time elapsed: 0.188 s
% 11.54/1.92 % (21808)Instructions burned: 832 (million)
% 11.54/1.92 % (21808)------------------------------
% 11.54/1.92 % (21808)------------------------------
% 11.54/1.93 % (21815)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2983ds/70Mi)
% 11.54/1.95 % (21815)Instruction limit reached!
% 11.54/1.95 % (21815)------------------------------
% 11.54/1.95 % (21815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.54/1.95 % (21815)Termination reason: Unknown
% 11.54/1.95 % (21815)Termination phase: Saturation
% 11.54/1.95
% 11.54/1.95 % (21815)Memory used [KB]: 1151
% 11.54/1.95 % (21815)Time elapsed: 0.021 s
% 11.54/1.95 % (21815)Instructions burned: 73 (million)
% 11.54/1.95 % (21815)------------------------------
% 11.54/1.95 % (21815)------------------------------
% 11.54/1.95 % (21812)Instruction limit reached!
% 11.54/1.95 % (21812)------------------------------
% 11.54/1.95 % (21812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.54/1.95 % (21812)Termination reason: Unknown
% 11.54/1.95 % (21812)Termination phase: Saturation
% 11.54/1.95
% 11.54/1.95 % (21812)Memory used [KB]: 7164
% 11.54/1.95 % (21812)Time elapsed: 0.065 s
% 11.54/1.95 % (21812)Instructions burned: 187 (million)
% 11.54/1.95 % (21812)------------------------------
% 11.54/1.95 % (21812)------------------------------
% 11.54/1.95 % (21816)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2983ds/316Mi)
% 11.54/1.96 % (21817)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2983ds/932Mi)
% 12.07/1.99 % (21809)Instruction limit reached!
% 12.07/1.99 % (21809)------------------------------
% 12.07/1.99 % (21809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.07/1.99 % (21809)Termination reason: Unknown
% 12.07/1.99 % (21809)Termination phase: Saturation
% 12.07/1.99
% 12.07/1.99 % (21809)Memory used [KB]: 11385
% 12.07/1.99 % (21809)Time elapsed: 0.223 s
% 12.07/1.99 % (21809)Instructions burned: 669 (million)
% 12.07/1.99 % (21809)------------------------------
% 12.07/1.99 % (21809)------------------------------
% 12.07/2.00 % (21818)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2983ds/4714Mi)
% 12.07/2.05 % (21816)Instruction limit reached!
% 12.07/2.05 % (21816)------------------------------
% 12.07/2.05 % (21816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.07/2.05 % (21816)Termination reason: Unknown
% 12.07/2.05 % (21816)Termination phase: Saturation
% 12.07/2.05
% 12.07/2.05 % (21816)Memory used [KB]: 6140
% 12.07/2.05 % (21816)Time elapsed: 0.095 s
% 12.07/2.05 % (21816)Instructions burned: 317 (million)
% 12.07/2.05 % (21816)------------------------------
% 12.07/2.05 % (21816)------------------------------
% 12.07/2.05 % (21813)Instruction limit reached!
% 12.07/2.05 % (21813)------------------------------
% 12.07/2.05 % (21813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.07/2.05 % (21813)Termination reason: Unknown
% 12.07/2.05 % (21813)Termination phase: Saturation
% 12.07/2.05
% 12.07/2.05 % (21813)Memory used [KB]: 7675
% 12.07/2.05 % (21813)Time elapsed: 0.159 s
% 12.07/2.05 % (21813)Instructions burned: 372 (million)
% 12.07/2.05 % (21813)------------------------------
% 12.07/2.05 % (21813)------------------------------
% 12.07/2.06 % (21819)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2982ds/8250Mi)
% 12.07/2.07 % (21820)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2982ds/770Mi)
% 14.32/2.29 % (21817)Instruction limit reached!
% 14.32/2.29 % (21817)------------------------------
% 14.32/2.29 % (21817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.32/2.29 % (21817)Termination reason: Unknown
% 14.32/2.29 % (21817)Termination phase: Saturation
% 14.32/2.29
% 14.32/2.29 % (21817)Memory used [KB]: 8571
% 14.32/2.29 % (21817)Time elapsed: 0.331 s
% 14.32/2.29 % (21817)Instructions burned: 933 (million)
% 14.32/2.29 % (21817)------------------------------
% 14.32/2.29 % (21817)------------------------------
% 14.96/2.29 % (21821)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2980ds/794Mi)
% 14.96/2.33 % (21820)Instruction limit reached!
% 14.96/2.33 % (21820)------------------------------
% 14.96/2.33 % (21820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.96/2.33 % (21820)Termination reason: Unknown
% 14.96/2.33 % (21820)Termination phase: Saturation
% 14.96/2.33
% 14.96/2.33 % (21820)Memory used [KB]: 8059
% 14.96/2.33 % (21820)Time elapsed: 0.282 s
% 14.96/2.33 % (21820)Instructions burned: 773 (million)
% 14.96/2.33 % (21820)------------------------------
% 14.96/2.33 % (21820)------------------------------
% 14.96/2.34 % (21822)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2979ds/464Mi)
% 15.73/2.50 % (21822)Instruction limit reached!
% 15.73/2.50 % (21822)------------------------------
% 15.73/2.50 % (21822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.73/2.50 % (21822)Termination reason: Unknown
% 15.73/2.50 % (21822)Termination phase: Saturation
% 15.73/2.50
% 15.73/2.50 % (21822)Memory used [KB]: 7291
% 15.73/2.50 % (21822)Time elapsed: 0.161 s
% 15.73/2.50 % (21822)Instructions burned: 464 (million)
% 15.73/2.50 % (21822)------------------------------
% 15.73/2.50 % (21822)------------------------------
% 15.73/2.50 % (21823)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2978ds/1376Mi)
% 16.48/2.54 % (21814)Instruction limit reached!
% 16.48/2.54 % (21814)------------------------------
% 16.48/2.54 % (21814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.48/2.54 % (21814)Termination reason: Unknown
% 16.48/2.54 % (21814)Termination phase: Saturation
% 16.48/2.54
% 16.48/2.54 % (21814)Memory used [KB]: 10746
% 16.48/2.54 % (21814)Time elapsed: 0.661 s
% 16.48/2.54 % (21814)Instructions burned: 1829 (million)
% 16.48/2.54 % (21814)------------------------------
% 16.48/2.54 % (21814)------------------------------
% 16.48/2.55 % (21824)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2977ds/906Mi)
% 16.48/2.55 % (21821)Instruction limit reached!
% 16.48/2.55 % (21821)------------------------------
% 16.48/2.55 % (21821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.48/2.55 % (21821)Termination reason: Unknown
% 16.48/2.55 % (21821)Termination phase: Saturation
% 16.48/2.55
% 16.48/2.55 % (21821)Memory used [KB]: 3965
% 16.48/2.55 % (21821)Time elapsed: 0.279 s
% 16.48/2.55 % (21821)Instructions burned: 795 (million)
% 16.48/2.55 % (21821)------------------------------
% 16.48/2.55 % (21821)------------------------------
% 16.48/2.56 % (21825)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2977ds/434Mi)
% 17.60/2.70 % (21825)Instruction limit reached!
% 17.60/2.70 % (21825)------------------------------
% 17.60/2.70 % (21825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.60/2.70 % (21825)Termination reason: Unknown
% 17.60/2.70 % (21825)Termination phase: Saturation
% 17.60/2.70
% 17.60/2.70 % (21825)Memory used [KB]: 7419
% 17.60/2.70 % (21825)Time elapsed: 0.138 s
% 17.60/2.70 % (21825)Instructions burned: 434 (million)
% 17.60/2.70 % (21825)------------------------------
% 17.60/2.70 % (21825)------------------------------
% 17.60/2.71 % (21826)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2976ds/865Mi)
% 18.40/2.80 % (21798)Instruction limit reached!
% 18.40/2.80 % (21798)------------------------------
% 18.40/2.80 % (21798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.40/2.80 % (21798)Termination reason: Unknown
% 18.40/2.80 % (21798)Termination phase: Saturation
% 18.40/2.80
% 18.40/2.80 % (21798)Memory used [KB]: 17142
% 18.40/2.80 % (21798)Time elapsed: 1.425 s
% 18.40/2.80 % (21798)Instructions burned: 4351 (million)
% 18.40/2.80 % (21798)------------------------------
% 18.40/2.80 % (21798)------------------------------
% 18.40/2.81 % (21827)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2974ds/593Mi)
% 19.18/2.84 % (21793)Instruction limit reached!
% 19.18/2.84 % (21793)------------------------------
% 19.18/2.84 % (21793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.18/2.84 % (21793)Termination reason: Unknown
% 19.18/2.84 % (21793)Termination phase: Saturation
% 19.18/2.84
% 19.18/2.84 % (21793)Memory used [KB]: 11129
% 19.18/2.84 % (21793)Time elapsed: 1.579 s
% 19.18/2.84 % (21793)Instructions burned: 4438 (million)
% 19.18/2.84 % (21793)------------------------------
% 19.18/2.84 % (21793)------------------------------
% 19.18/2.85 % (21828)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2974ds/443Mi)
% 19.18/2.85 % (21824)Instruction limit reached!
% 19.18/2.85 % (21824)------------------------------
% 19.18/2.85 % (21824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.18/2.85 % (21824)Termination reason: Unknown
% 19.18/2.85 % (21824)Termination phase: Saturation
% 19.18/2.85
% 19.18/2.85 % (21824)Memory used [KB]: 13304
% 19.18/2.85 % (21824)Time elapsed: 0.303 s
% 19.18/2.85 % (21824)Instructions burned: 906 (million)
% 19.18/2.85 % (21824)------------------------------
% 19.18/2.85 % (21824)------------------------------
% 19.18/2.86 % (21829)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2974ds/594Mi)
% 19.58/2.90 % (21823)Instruction limit reached!
% 19.58/2.90 % (21823)------------------------------
% 19.58/2.90 % (21823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.58/2.90 % (21823)Termination reason: Unknown
% 19.58/2.90 % (21823)Termination phase: Saturation
% 19.58/2.90
% 19.58/2.90 % (21823)Memory used [KB]: 11513
% 19.58/2.90 % (21823)Time elapsed: 0.397 s
% 19.58/2.90 % (21823)Instructions burned: 1376 (million)
% 19.58/2.90 % (21823)------------------------------
% 19.58/2.90 % (21823)------------------------------
% 19.58/2.91 % (21830)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2974ds/327Mi)
% 19.58/2.96 % (21796)Instruction limit reached!
% 19.58/2.96 % (21796)------------------------------
% 19.58/2.96 % (21796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.58/2.96 % (21796)Termination reason: Unknown
% 19.58/2.96 % (21796)Termination phase: Saturation
% 19.58/2.96
% 19.58/2.96 % (21796)Memory used [KB]: 13432
% 19.58/2.96 % (21796)Time elapsed: 1.659 s
% 19.58/2.96 % (21796)Instructions burned: 5205 (million)
% 19.58/2.96 % (21796)------------------------------
% 19.58/2.96 % (21796)------------------------------
% 19.89/2.97 % (21826)Instruction limit reached!
% 19.89/2.97 % (21826)------------------------------
% 19.89/2.97 % (21826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.89/2.97 % (21826)Termination reason: Unknown
% 19.89/2.97 % (21826)Termination phase: Saturation
% 19.89/2.97
% 19.89/2.97 % (21826)Memory used [KB]: 10618
% 19.89/2.97 % (21826)Time elapsed: 0.261 s
% 19.89/2.97 % (21826)Instructions burned: 865 (million)
% 19.89/2.97 % (21826)------------------------------
% 19.89/2.97 % (21826)------------------------------
% 19.91/2.97 % (21831)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2973ds/5411Mi)
% 19.91/2.97 % (21832)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2973ds/1762Mi)
% 19.97/3.00 % (21827)Instruction limit reached!
% 19.97/3.00 % (21827)------------------------------
% 19.97/3.00 % (21827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.97/3.00 % (21827)Termination reason: Unknown
% 19.97/3.00 % (21827)Termination phase: Saturation
% 19.97/3.00
% 19.97/3.00 % (21827)Memory used [KB]: 7675
% 19.97/3.00 % (21827)Time elapsed: 0.188 s
% 19.97/3.00 % (21827)Instructions burned: 594 (million)
% 19.97/3.00 % (21827)------------------------------
% 19.97/3.00 % (21827)------------------------------
% 19.97/3.01 % (21830)Instruction limit reached!
% 19.97/3.01 % (21830)------------------------------
% 19.97/3.01 % (21830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.97/3.01 % (21830)Termination reason: Unknown
% 19.97/3.01 % (21830)Termination phase: Saturation
% 19.97/3.01
% 19.97/3.01 % (21830)Memory used [KB]: 8187
% 19.97/3.01 % (21830)Time elapsed: 0.100 s
% 19.97/3.01 % (21830)Instructions burned: 327 (million)
% 19.97/3.01 % (21830)------------------------------
% 19.97/3.01 % (21830)------------------------------
% 19.97/3.01 % (21833)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2973ds/96Mi)
% 19.97/3.01 % (21828)Instruction limit reached!
% 19.97/3.01 % (21828)------------------------------
% 19.97/3.01 % (21828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.97/3.01 % (21834)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2973ds/503Mi)
% 19.97/3.01 % (21828)Termination reason: Unknown
% 19.97/3.01 % (21828)Termination phase: Saturation
% 19.97/3.01
% 19.97/3.01 % (21828)Memory used [KB]: 7675
% 19.97/3.01 % (21828)Time elapsed: 0.171 s
% 19.97/3.01 % (21828)Instructions burned: 444 (million)
% 19.97/3.01 % (21828)------------------------------
% 19.97/3.01 % (21828)------------------------------
% 19.97/3.02 % (21835)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2972ds/90Mi)
% 20.50/3.04 % (21833)Instruction limit reached!
% 20.50/3.04 % (21833)------------------------------
% 20.50/3.04 % (21833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.50/3.04 % (21833)Termination reason: Unknown
% 20.50/3.04 % (21833)Termination phase: Saturation
% 20.50/3.04
% 20.50/3.04 % (21833)Memory used [KB]: 6012
% 20.50/3.04 % (21833)Time elapsed: 0.034 s
% 20.50/3.04 % (21833)Instructions burned: 97 (million)
% 20.50/3.04 % (21833)------------------------------
% 20.50/3.04 % (21833)------------------------------
% 20.50/3.05 % (21835)Instruction limit reached!
% 20.50/3.05 % (21835)------------------------------
% 20.50/3.05 % (21835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.50/3.05 % (21835)Termination reason: Unknown
% 20.50/3.05 % (21835)Termination phase: Saturation
% 20.50/3.05
% 20.50/3.05 % (21835)Memory used [KB]: 6268
% 20.50/3.05 % (21835)Time elapsed: 0.032 s
% 20.50/3.05 % (21835)Instructions burned: 92 (million)
% 20.50/3.05 % (21835)------------------------------
% 20.50/3.05 % (21835)------------------------------
% 20.50/3.05 % (21836)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2972ds/593Mi)
% 20.50/3.06 % (21837)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2972ds/1512Mi)
% 20.50/3.09 % (21829)Instruction limit reached!
% 20.50/3.09 % (21829)------------------------------
% 20.50/3.09 % (21829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.50/3.09 % (21829)Termination reason: Unknown
% 20.50/3.09 % (21829)Termination phase: Saturation
% 20.50/3.09
% 20.50/3.09 % (21829)Memory used [KB]: 8315
% 20.50/3.09 % (21829)Time elapsed: 0.229 s
% 20.50/3.09 % (21829)Instructions burned: 594 (million)
% 20.50/3.09 % (21829)------------------------------
% 20.50/3.09 % (21829)------------------------------
% 20.50/3.09 % (21838)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2972ds/569Mi)
% 21.16/3.20 % (21834)Instruction limit reached!
% 21.16/3.20 % (21834)------------------------------
% 21.16/3.20 % (21834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.16/3.20 % (21834)Termination reason: Unknown
% 21.16/3.20 % (21834)Termination phase: Saturation
% 21.16/3.20
% 21.16/3.20 % (21834)Memory used [KB]: 7931
% 21.16/3.20 % (21834)Time elapsed: 0.188 s
% 21.16/3.20 % (21834)Instructions burned: 506 (million)
% 21.16/3.20 % (21834)------------------------------
% 21.16/3.20 % (21834)------------------------------
% 21.16/3.21 % (21839)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2971ds/501Mi)
% 21.16/3.26 % (21838)Instruction limit reached!
% 21.16/3.26 % (21838)------------------------------
% 21.16/3.26 % (21838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.16/3.26 % (21838)Termination reason: Unknown
% 21.16/3.26 % (21838)Termination phase: Saturation
% 21.16/3.26
% 21.16/3.26 % (21838)Memory used [KB]: 6396
% 21.16/3.26 % (21838)Time elapsed: 0.168 s
% 21.16/3.26 % (21838)Instructions burned: 569 (million)
% 21.16/3.26 % (21838)------------------------------
% 21.16/3.26 % (21838)------------------------------
% 21.67/3.27 % (21840)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2970ds/562Mi)
% 22.80/3.28 % (21836)Instruction limit reached!
% 22.80/3.28 % (21836)------------------------------
% 22.80/3.28 % (21836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.80/3.28 % (21836)Termination reason: Unknown
% 22.80/3.28 % (21836)Termination phase: Saturation
% 22.80/3.28
% 22.80/3.28 % (21836)Memory used [KB]: 8443
% 22.80/3.28 % (21836)Time elapsed: 0.229 s
% 22.80/3.28 % (21836)Instructions burned: 594 (million)
% 22.80/3.28 % (21836)------------------------------
% 22.80/3.28 % (21836)------------------------------
% 22.80/3.29 % (21841)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2970ds/406Mi)
% 23.24/3.34 % (21818)Instruction limit reached!
% 23.24/3.34 % (21818)------------------------------
% 23.24/3.34 % (21818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.24/3.34 % (21818)Termination reason: Unknown
% 23.24/3.34 % (21818)Termination phase: Saturation
% 23.24/3.34
% 23.24/3.34 % (21818)Memory used [KB]: 8699
% 23.24/3.34 % (21818)Time elapsed: 1.334 s
% 23.24/3.34 % (21818)Instructions burned: 4715 (million)
% 23.24/3.34 % (21818)------------------------------
% 23.24/3.34 % (21818)------------------------------
% 23.24/3.35 % (21842)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2969ds/582Mi)
% 23.24/3.40 % (21839)Instruction limit reached!
% 23.24/3.40 % (21839)------------------------------
% 23.24/3.40 % (21839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.24/3.40 % (21839)Termination reason: Unknown
% 23.24/3.40 % (21839)Termination phase: Saturation
% 23.24/3.40
% 23.24/3.40 % (21839)Memory used [KB]: 8315
% 23.24/3.40 % (21839)Time elapsed: 0.186 s
% 23.24/3.40 % (21839)Instructions burned: 501 (million)
% 23.24/3.40 % (21839)------------------------------
% 23.24/3.40 % (21839)------------------------------
% 23.24/3.41 % (21843)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2969ds/456Mi)
% 23.74/3.44 % (21841)Instruction limit reached!
% 23.74/3.44 % (21841)------------------------------
% 23.74/3.44 % (21841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.74/3.44 % (21841)Termination reason: Unknown
% 23.74/3.44 % (21841)Termination phase: Saturation
% 23.74/3.44
% 23.74/3.44 % (21841)Memory used [KB]: 7419
% 23.74/3.44 % (21841)Time elapsed: 0.150 s
% 23.74/3.44 % (21841)Instructions burned: 408 (million)
% 23.74/3.44 % (21841)------------------------------
% 23.74/3.44 % (21841)------------------------------
% 23.74/3.45 % (21844)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2968ds/393Mi)
% 23.74/3.47 % (21840)Instruction limit reached!
% 23.74/3.47 % (21840)------------------------------
% 23.74/3.47 % (21840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.74/3.47 % (21840)Termination reason: Unknown
% 23.74/3.47 % (21840)Termination phase: Saturation
% 23.74/3.47
% 23.74/3.47 % (21840)Memory used [KB]: 8443
% 23.74/3.47 % (21840)Time elapsed: 0.203 s
% 23.74/3.47 % (21840)Instructions burned: 563 (million)
% 23.74/3.47 % (21840)------------------------------
% 23.74/3.47 % (21840)------------------------------
% 24.21/3.49 % (21845)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2968ds/1335Mi)
% 24.21/3.51 % (21832)Instruction limit reached!
% 24.21/3.51 % (21832)------------------------------
% 24.21/3.51 % (21832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.21/3.51 % (21832)Termination reason: Unknown
% 24.21/3.51 % (21832)Termination phase: Saturation
% 24.21/3.51
% 24.21/3.51 % (21832)Memory used [KB]: 9722
% 24.21/3.51 % (21832)Time elapsed: 0.541 s
% 24.21/3.51 % (21832)Instructions burned: 1762 (million)
% 24.21/3.51 % (21832)------------------------------
% 24.21/3.51 % (21832)------------------------------
% 24.21/3.52 % (21846)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2968ds/3373Mi)
% 24.45/3.56 % (21837)Instruction limit reached!
% 24.45/3.56 % (21837)------------------------------
% 24.45/3.56 % (21837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.45/3.56 % (21837)Termination reason: Unknown
% 24.45/3.56 % (21837)Termination phase: Saturation
% 24.45/3.56
% 24.45/3.56 % (21837)Memory used [KB]: 7291
% 24.45/3.56 % (21837)Time elapsed: 0.499 s
% 24.45/3.56 % (21837)Instructions burned: 1512 (million)
% 24.45/3.56 % (21837)------------------------------
% 24.45/3.56 % (21837)------------------------------
% 24.49/3.57 % (21847)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2967ds/474Mi)
% 24.49/3.58 % (21843)Instruction limit reached!
% 24.49/3.58 % (21843)------------------------------
% 24.49/3.58 % (21843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.49/3.58 % (21843)Termination reason: Unknown
% 24.49/3.58 % (21843)Termination phase: Saturation
% 24.49/3.58
% 24.49/3.58 % (21843)Memory used [KB]: 7036
% 24.49/3.58 % (21843)Time elapsed: 0.179 s
% 24.49/3.58 % (21843)Instructions burned: 458 (million)
% 24.49/3.58 % (21843)------------------------------
% 24.49/3.58 % (21843)------------------------------
% 24.49/3.59 % (21848)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2967ds/157Mi)
% 24.49/3.59 % (21842)Instruction limit reached!
% 24.49/3.59 % (21842)------------------------------
% 24.49/3.59 % (21842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.49/3.59 % (21842)Termination reason: Unknown
% 24.49/3.59 % (21842)Termination phase: Saturation
% 24.49/3.59
% 24.49/3.59 % (21842)Memory used [KB]: 7419
% 24.49/3.59 % (21842)Time elapsed: 0.247 s
% 24.49/3.59 % (21842)Instructions burned: 582 (million)
% 24.49/3.59 % (21842)------------------------------
% 24.49/3.59 % (21842)------------------------------
% 24.49/3.59 % (21844)Instruction limit reached!
% 24.49/3.59 % (21844)------------------------------
% 24.49/3.59 % (21844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.49/3.59 % (21844)Termination reason: Unknown
% 24.49/3.59 % (21844)Termination phase: Saturation
% 24.49/3.59
% 24.49/3.59 % (21844)Memory used [KB]: 7547
% 24.49/3.59 % (21844)Time elapsed: 0.148 s
% 24.49/3.59 % (21844)Instructions burned: 395 (million)
% 24.49/3.59 % (21844)------------------------------
% 24.49/3.59 % (21844)------------------------------
% 24.49/3.60 % (21850)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2967ds/104Mi)
% 24.49/3.61 % (21849)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2967ds/590Mi)
% 25.16/3.63 % (21850)Instruction limit reached!
% 25.16/3.63 % (21850)------------------------------
% 25.16/3.63 % (21850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.16/3.63 % (21850)Termination reason: Unknown
% 25.16/3.63 % (21850)Termination phase: Saturation
% 25.16/3.63
% 25.16/3.63 % (21850)Memory used [KB]: 6268
% 25.16/3.63 % (21850)Time elapsed: 0.035 s
% 25.16/3.63 % (21850)Instructions burned: 104 (million)
% 25.16/3.63 % (21850)------------------------------
% 25.16/3.63 % (21850)------------------------------
% 25.27/3.64 % (21848)Instruction limit reached!
% 25.27/3.64 % (21848)------------------------------
% 25.27/3.64 % (21848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.27/3.64 % (21848)Termination reason: Unknown
% 25.27/3.64 % (21848)Termination phase: Saturation
% 25.27/3.64
% 25.27/3.64 % (21848)Memory used [KB]: 6140
% 25.27/3.64 % (21848)Time elapsed: 0.049 s
% 25.27/3.64 % (21848)Instructions burned: 159 (million)
% 25.27/3.64 % (21848)------------------------------
% 25.27/3.64 % (21848)------------------------------
% 25.27/3.64 % (21851)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2966ds/414Mi)
% 25.27/3.65 % (21852)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2966ds/715Mi)
% 25.27/3.65 % (21847)First to succeed.
% 25.27/3.67 % (21847)Refutation found. Thanks to Tanya!
% 25.27/3.67 % SZS status Theorem for theBenchmark
% 25.27/3.67 % SZS output start Proof for theBenchmark
% See solution above
% 25.27/3.67 % (21847)------------------------------
% 25.27/3.67 % (21847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.27/3.67 % (21847)Termination reason: Refutation
% 25.27/3.67
% 25.27/3.67 % (21847)Memory used [KB]: 6524
% 25.27/3.67 % (21847)Time elapsed: 0.099 s
% 25.27/3.67 % (21847)Instructions burned: 273 (million)
% 25.27/3.67 % (21847)------------------------------
% 25.27/3.67 % (21847)------------------------------
% 25.27/3.67 % (21562)Success in time 3.349 s
% 25.27/3.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------