TSTP Solution File: SEV063^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV063^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:13 EDT 2024
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 23
% Syntax : Number of formulae : 142 ( 52 unt; 18 typ; 0 def)
% Number of atoms : 999 ( 117 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 3111 ( 83 ~; 69 |; 205 &;2042 @)
% ( 4 <=>; 270 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 264 ( 264 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 20 con; 0-2 aty)
% ( 438 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 558 ( 460 ^ 97 !; 0 ?; 558 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: a > a > $o ).
thf(func_def_19,type,
sK4: a ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: a > a > $o ).
thf(func_def_22,type,
sK7: a ).
thf(func_def_23,type,
sK8: a ).
thf(func_def_24,type,
sK9: a ).
thf(func_def_25,type,
sK10: a ).
thf(func_def_26,type,
sK11: a ).
thf(func_def_27,type,
sK12: a ).
thf(func_def_28,type,
sK13: a ).
thf(func_def_29,type,
sK14: a ).
thf(func_def_30,type,
sK15: a ).
thf(func_def_31,type,
sK16: a ).
thf(f518,plain,
$false,
inference(avatar_sat_refutation,[],[f107,f191,f366,f414,f517]) ).
thf(f517,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f516]) ).
thf(f516,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f515]) ).
thf(f515,plain,
( ( $false = $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f514]) ).
thf(f514,plain,
( ( ~ $true = $true )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f507,f457]) ).
thf(f457,plain,
( ( ( sK6 @ sK16 @ sK14 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f449]) ).
thf(f449,plain,
( ( ( ( sK6 @ sK13 @ sK16 )
& ( sK6 @ sK16 @ sK14 ) )
= $true )
| ~ spl0_4 ),
inference(not_proxy_clausification,[],[f438]) ).
thf(f438,plain,
( ( $false
= ( ~ ( ( sK6 @ sK13 @ sK16 )
& ( sK6 @ sK16 @ sK14 ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f437]) ).
thf(f437,plain,
( ( $false
= ( ^ [Y0: a] :
~ ( ( sK6 @ sK13 @ Y0 )
& ( sK6 @ Y0 @ sK14 ) )
@ sK16 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f433]) ).
thf(f433,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
~ ( ( sK6 @ sK13 @ Y0 )
& ( sK6 @ Y0 @ sK14 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f432]) ).
thf(f432,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ sK13 @ Y0 )
& ( sK6 @ Y0 @ sK14 ) )
=> $false ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f426,f429]) ).
thf(f429,plain,
( ( $false
= ( sK6 @ sK13 @ sK14 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f428]) ).
thf(f428,plain,
( ( $false
= ( ( ( sK6 @ sK13 @ sK15 )
& ( sK6 @ sK15 @ sK14 ) )
=> ( sK6 @ sK13 @ sK14 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f427]) ).
thf(f427,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK6 @ sK13 @ Y0 )
& ( sK6 @ Y0 @ sK14 ) )
=> ( sK6 @ sK13 @ sK14 ) )
@ sK15 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f426]) ).
thf(f426,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ sK13 @ Y0 )
& ( sK6 @ Y0 @ sK14 ) )
=> ( sK6 @ sK13 @ sK14 ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f425]) ).
thf(f425,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ sK13 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ sK13 @ Y0 ) ) )
@ sK14 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f420]) ).
thf(f420,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ sK13 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ sK13 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f417]) ).
thf(f417,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
@ sK13 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f362]) ).
thf(f362,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f361]) ).
thf(f361,plain,
( spl0_4
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f507,plain,
( ( ( ~ ( sK6 @ sK16 @ sK14 ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f503]) ).
thf(f503,plain,
( ( $true
= ( ( sK6 @ sK16 @ sK14 )
=> $false ) )
| ~ spl0_4 ),
inference(superposition,[],[f466,f429]) ).
thf(f466,plain,
( ! [X0: a] :
( $true
= ( ( sK6 @ sK16 @ X0 )
=> ( sK6 @ sK13 @ X0 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f462]) ).
thf(f462,plain,
( ! [X0: a] :
( ( ( ( sK6 @ sK16 @ X0 )
& $true )
=> ( sK6 @ sK13 @ X0 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f65,f460]) ).
thf(f460,plain,
( ( $true
= ( sK6 @ sK13 @ sK16 ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f459]) ).
thf(f459,plain,
( ( ( ( sK6 @ sK13 @ sK16 )
& $true )
= $true )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f449,f457]) ).
thf(f65,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK6 @ X1 @ X2 )
& ( sK6 @ X3 @ X1 ) )
=> ( sK6 @ X3 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f64]) ).
thf(f64,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK6 @ X1 @ X2 )
& ( sK6 @ Y0 @ X1 ) )
=> ( sK6 @ Y0 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f61]) ).
thf(f61,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ X1 @ X2 )
& ( sK6 @ Y0 @ X1 ) )
=> ( sK6 @ Y0 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f60]) ).
thf(f60,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ X1 @ Y0 )
& ( sK6 @ Y1 @ X1 ) )
=> ( sK6 @ Y1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f56]) ).
thf(f56,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ X1 @ Y0 )
& ( sK6 @ Y1 @ X1 ) )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y1 )
& ( sK6 @ Y2 @ Y0 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f40]) ).
thf(f40,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y1 )
& ( sK6 @ Y2 @ Y0 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f39]) ).
thf(f39,plain,
( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y1 )
& ( sK6 @ Y2 @ Y0 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(backward_demodulation,[],[f27,f38]) ).
thf(f38,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y1 )
& ( sK6 @ Y2 @ Y0 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y1 )
& ( sK6 @ Y2 @ Y0 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) ) )
=> ( sK6 @ sK4 @ sK2 ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK2 ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f21]) ).
thf(f21,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK2 ) ) ) ),
inference(boolean_simplification,[],[f20]) ).
thf(f20,plain,
( $false
= ( $true
=> ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK2 ) ) ) ) ),
inference(backward_demodulation,[],[f17,f19]) ).
thf(f19,plain,
( $true
= ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( $false
= ( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK5 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK2 ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( $false
= ( ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y3 @ Y2 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ Y0 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y4 @ Y2 ) )
=> ( Y1 @ Y4 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ sK2 ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y3 @ Y2 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ Y0 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y4 @ Y2 ) )
=> ( Y1 @ Y4 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ sK2 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y4 @ Y3 ) )
=> ( Y2 @ Y5 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y1 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y5 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y0 @ sK2 ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y4 @ Y3 ) )
=> ( Y2 @ Y5 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y1 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y5 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y0 @ sK2 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
& ( Y3 @ Y5 @ Y4 ) )
=> ( Y3 @ Y6 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y2 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y5 )
& ( Y3 @ Y6 @ Y4 ) )
=> ( Y3 @ Y6 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y1 @ sK2 ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
& ( Y3 @ Y5 @ Y4 ) )
=> ( Y3 @ Y6 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y2 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y5 )
& ( Y3 @ Y6 @ Y4 ) )
=> ( Y3 @ Y6 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y1 @ sK2 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y6 @ Y5 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y6 )
& ( Y4 @ Y7 @ Y5 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y0 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y6 @ Y5 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y6 )
& ( Y4 @ Y7 @ Y5 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y6 @ Y5 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y6 )
& ( Y4 @ Y7 @ Y5 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y6 @ Y5 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y6 )
& ( Y4 @ Y7 @ Y5 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a,X2: a > a > $o,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X7 @ X5 ) )
=> ( X4 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X2 @ X9 @ X8 )
=> ( X4 @ X9 @ X8 ) ) )
=> ( X4 @ X1 @ X0 ) )
& ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ( X2 @ X11 @ X12 )
=> ( X10 @ X11 @ X12 ) )
& ! [X13: a,X14: a,X15: a] :
( ( ( X10 @ X14 @ X15 )
& ( X10 @ X13 @ X14 ) )
=> ( X10 @ X13 @ X15 ) ) )
=> ( X10 @ X0 @ X3 ) ) )
=> ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a,X19: a] :
( ( ( X16 @ X17 @ X19 )
& ( X16 @ X19 @ X18 ) )
=> ( X16 @ X17 @ X18 ) )
& ! [X20: a,X21: a] :
( ( X2 @ X20 @ X21 )
=> ( X16 @ X20 @ X21 ) ) )
=> ( X16 @ X1 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X1: a,X0: a > a > $o,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X6: a,X7: a,X5: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X6: a,X5: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X2 ) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X2 @ X3 ) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a,X1: a,X0: a > a > $o,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X6: a,X7: a,X5: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X6: a,X5: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X2 ) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) )
& ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X2 @ X3 ) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.p1QVcjljMH/Vampire---4.8_1916',cTHM136_pme) ).
thf(f414,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f413]) ).
thf(f413,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f412,plain,
( ( $false = $true )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f407,f397]) ).
thf(f397,plain,
( ( $false
= ( sK6 @ sK11 @ sK12 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f396]) ).
thf(f396,plain,
( ( $false
= ( ( sK3 @ sK11 @ sK12 )
=> ( sK6 @ sK11 @ sK12 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f395]) ).
thf(f395,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK11 @ Y0 )
=> ( sK6 @ sK11 @ Y0 ) )
@ sK12 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f390]) ).
thf(f390,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK11 @ Y0 )
=> ( sK6 @ sK11 @ Y0 ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f387]) ).
thf(f387,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) )
@ sK11 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f365]) ).
thf(f365,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f364]) ).
thf(f364,plain,
( spl0_5
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f407,plain,
( ( ( sK6 @ sK11 @ sK12 )
= $true )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f406]) ).
thf(f406,plain,
( ( ( sK6 @ sK11 @ sK12 )
= $true )
| ( $false = $true )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f399]) ).
thf(f399,plain,
( ( $false
= ( $false
=> ( sK6 @ sK11 @ sK12 ) ) )
| ( ( sK6 @ sK11 @ sK12 )
= $true )
| ~ spl0_5 ),
inference(superposition,[],[f396,f52]) ).
thf(f52,plain,
! [X2: a,X1: a] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( sK6 @ X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( ( ( sK3 @ X2 @ X1 )
=> ( sK6 @ X2 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f46]) ).
thf(f46,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f45]) ).
thf(f45,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f38]) ).
thf(f366,plain,
( spl0_4
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f355,f102,f364,f361]) ).
thf(f102,plain,
( spl0_1
<=> ( ( sK6 @ sK7 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f355,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f349,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[],[f235]) ).
thf(f235,plain,
( ( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f230]) ).
thf(f230,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) )
=> $false ) )
| ~ spl0_1 ),
inference(superposition,[],[f48,f201]) ).
thf(f201,plain,
( ( $false
= ( sK6 @ sK4 @ sK7 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f194]) ).
thf(f194,plain,
( ( $false
= ( $true
& ( sK6 @ sK4 @ sK7 ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f77,f103]) ).
thf(f103,plain,
( ( ( sK6 @ sK7 @ sK2 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f77,plain,
! [X0: a] :
( $false
= ( ( sK6 @ X0 @ sK2 )
& ( sK6 @ sK4 @ X0 ) ) ),
inference(not_proxy_clausification,[],[f70]) ).
thf(f70,plain,
! [X0: a] :
( ( ~ ( ( sK6 @ X0 @ sK2 )
& ( sK6 @ sK4 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[],[f67]) ).
thf(f67,plain,
! [X0: a] :
( $true
= ( ( ( sK6 @ X0 @ sK2 )
& ( sK6 @ sK4 @ X0 ) )
=> $false ) ),
inference(superposition,[],[f65,f26]) ).
thf(f26,plain,
( $false
= ( sK6 @ sK4 @ sK2 ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f48,plain,
! [X1: a > a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y0 @ Y2 )
& ( X1 @ Y2 @ Y1 ) )
=> ( X1 @ Y0 @ Y1 ) ) ) ) ) )
=> ( X1 @ sK4 @ sK7 ) )
= $true ),
inference(beta_eta_normalization,[],[f47]) ).
thf(f47,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK7 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f44]) ).
thf(f44,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK7 ) ) )
= $true ),
inference(boolean_simplification,[],[f43]) ).
thf(f43,plain,
( ( $true
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK7 ) ) ) )
= $true ),
inference(backward_demodulation,[],[f34,f42]) ).
thf(f42,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 @ sK2 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK7 ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( $false
= ( ~ ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK4 @ sK7 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f32]) ).
thf(f32,plain,
( $false
= ( ^ [Y0: a] :
~ ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y3 @ Y2 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ Y0 ) ) ) )
@ sK7 ) ),
inference(sigma_clausification,[],[f23]) ).
thf(f23,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
~ ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y3 @ Y2 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f22]) ).
thf(f22,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y3 @ Y2 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK4 @ Y0 ) ) ) )
=> $false ) ) ),
inference(backward_demodulation,[],[f15,f21]) ).
thf(f191,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f190]) ).
thf(f190,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f189,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f188]) ).
thf(f188,plain,
( ( ~ $true = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f176,f154]) ).
thf(f154,plain,
( ( $true
= ( sK6 @ sK9 @ sK8 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f153]) ).
thf(f153,plain,
( ( $true
= ( $true
& ( sK6 @ sK9 @ sK8 ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f133,f152]) ).
thf(f152,plain,
( ( $true
= ( sK6 @ sK10 @ sK9 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f133]) ).
thf(f133,plain,
( ( ( ( sK6 @ sK10 @ sK9 )
& ( sK6 @ sK9 @ sK8 ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f130,plain,
( ( $false
= ( ( ( sK6 @ sK10 @ sK9 )
& ( sK6 @ sK9 @ sK8 ) )
=> ( sK6 @ sK10 @ sK8 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f129]) ).
thf(f129,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK6 @ Y0 @ sK9 )
& ( sK6 @ sK9 @ sK8 ) )
=> ( sK6 @ Y0 @ sK8 ) )
@ sK10 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f126]) ).
thf(f126,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ Y0 @ sK9 )
& ( sK6 @ sK9 @ sK8 ) )
=> ( sK6 @ Y0 @ sK8 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f125]) ).
thf(f125,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y0 @ sK8 ) )
=> ( sK6 @ Y1 @ sK8 ) ) )
@ sK9 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f114]) ).
thf(f114,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y0 @ sK8 ) )
=> ( sK6 @ Y1 @ sK8 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f112]) ).
thf(f112,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) )
@ sK8 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f106]) ).
thf(f106,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f105,plain,
( spl0_2
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f176,plain,
( ( ( ~ ( sK6 @ sK9 @ sK8 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f173]) ).
thf(f173,plain,
( ( ( ~ ( ( sK6 @ sK9 @ sK8 )
& $true ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f140,f152]) ).
thf(f140,plain,
( ! [X0: a] :
( $true
= ( ~ ( ( sK6 @ X0 @ sK8 )
& ( sK6 @ sK10 @ X0 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f138]) ).
thf(f138,plain,
( ! [X0: a] :
( ( ( ( sK6 @ X0 @ sK8 )
& ( sK6 @ sK10 @ X0 ) )
=> $false )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f65,f135]) ).
thf(f135,plain,
( ( $false
= ( sK6 @ sK10 @ sK8 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f134]) ).
thf(f134,plain,
( ( $false
= ( $true
=> ( sK6 @ sK10 @ sK8 ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f130,f133]) ).
thf(f107,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f100,f105,f102]) ).
thf(f100,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) )
| ( ( sK6 @ sK7 @ sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) )
=> ( sK6 @ sK7 @ sK2 ) )
= $true ),
inference(boolean_simplification,[],[f87]) ).
thf(f87,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) )
& $true )
=> ( sK6 @ sK7 @ sK2 ) )
= $true ),
inference(superposition,[],[f76,f38]) ).
thf(f76,plain,
! [X1: a > a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y2 @ Y1 )
& ( X1 @ Y1 @ Y0 ) )
=> ( X1 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) ) )
=> ( X1 @ sK7 @ sK2 ) ) ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
! [X1: a > a > $o] :
( $true
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 @ sK2 ) )
@ X1 ) ),
inference(pi_clausification,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV063^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:56:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.p1QVcjljMH/Vampire---4.8_1916
% 0.14/0.38 % (2105)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (2104)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (2106)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (2108)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (2109)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (2110)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (2107)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (2111)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (2108)Instruction limit reached!
% 0.14/0.38 % (2108)------------------------------
% 0.14/0.38 % (2108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2108)Termination reason: Unknown
% 0.14/0.38 % (2108)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (2108)Memory used [KB]: 895
% 0.14/0.38 % (2108)Time elapsed: 0.003 s
% 0.14/0.38 % (2108)Instructions burned: 2 (million)
% 0.14/0.38 % (2108)------------------------------
% 0.14/0.38 % (2108)------------------------------
% 0.14/0.38 % (2107)Instruction limit reached!
% 0.14/0.38 % (2107)------------------------------
% 0.14/0.38 % (2107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2107)Termination reason: Unknown
% 0.14/0.38 % (2107)Termination phase: Preprocessing 3
% 0.14/0.38
% 0.14/0.38 % (2107)Memory used [KB]: 1023
% 0.14/0.38 % (2107)Time elapsed: 0.003 s
% 0.14/0.38 % (2107)Instructions burned: 2 (million)
% 0.14/0.38 % (2107)------------------------------
% 0.14/0.38 % (2107)------------------------------
% 0.14/0.38 % (2111)Instruction limit reached!
% 0.14/0.38 % (2111)------------------------------
% 0.14/0.38 % (2111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2111)Termination reason: Unknown
% 0.14/0.38 % (2111)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (2111)Memory used [KB]: 1023
% 0.14/0.38 % (2111)Time elapsed: 0.003 s
% 0.14/0.38 % (2111)Instructions burned: 3 (million)
% 0.14/0.38 % (2111)------------------------------
% 0.14/0.38 % (2111)------------------------------
% 0.14/0.39 % (2105)Instruction limit reached!
% 0.14/0.39 % (2105)------------------------------
% 0.14/0.39 % (2105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (2105)Termination reason: Unknown
% 0.14/0.39 % (2105)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (2105)Memory used [KB]: 5500
% 0.14/0.39 % (2105)Time elapsed: 0.005 s
% 0.14/0.39 % (2105)Instructions burned: 4 (million)
% 0.14/0.39 % (2105)------------------------------
% 0.14/0.39 % (2105)------------------------------
% 0.14/0.39 % (2110)Instruction limit reached!
% 0.14/0.39 % (2110)------------------------------
% 0.14/0.39 % (2110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (2110)Termination reason: Unknown
% 0.14/0.39 % (2110)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (2110)Memory used [KB]: 5628
% 0.14/0.39 % (2110)Time elapsed: 0.013 s
% 0.14/0.39 % (2110)Instructions burned: 18 (million)
% 0.14/0.39 % (2110)------------------------------
% 0.14/0.39 % (2110)------------------------------
% 0.14/0.40 % (2126)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (2127)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (2128)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (2129)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.14/0.40 % (2128)Instruction limit reached!
% 0.14/0.40 % (2128)------------------------------
% 0.14/0.40 % (2128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (2128)Termination reason: Unknown
% 0.14/0.40 % (2128)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (2128)Memory used [KB]: 5500
% 0.14/0.40 % (2128)Time elapsed: 0.004 s
% 0.14/0.40 % (2128)Instructions burned: 3 (million)
% 0.14/0.40 % (2128)------------------------------
% 0.14/0.40 % (2128)------------------------------
% 0.14/0.40 % (2106)Instruction limit reached!
% 0.14/0.40 % (2106)------------------------------
% 0.14/0.40 % (2106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (2106)Termination reason: Unknown
% 0.14/0.40 % (2106)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (2106)Memory used [KB]: 5756
% 0.14/0.40 % (2106)Time elapsed: 0.022 s
% 0.14/0.40 % (2106)Instructions burned: 28 (million)
% 0.14/0.40 % (2106)------------------------------
% 0.14/0.40 % (2106)------------------------------
% 0.14/0.41 % (2135)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.41 % (2127)Instruction limit reached!
% 0.14/0.41 % (2127)------------------------------
% 0.14/0.41 % (2127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (2127)Termination reason: Unknown
% 0.14/0.41 % (2127)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (2127)Memory used [KB]: 5756
% 0.14/0.41 % (2127)Time elapsed: 0.012 s
% 0.14/0.41 % (2127)Instructions burned: 15 (million)
% 0.14/0.41 % (2127)------------------------------
% 0.14/0.41 % (2127)------------------------------
% 0.14/0.41 % (2135)Instruction limit reached!
% 0.14/0.41 % (2135)------------------------------
% 0.14/0.41 % (2135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (2135)Termination reason: Unknown
% 0.14/0.41 % (2135)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (2135)Memory used [KB]: 1023
% 0.14/0.41 % (2135)Time elapsed: 0.007 s
% 0.14/0.41 % (2135)Instructions burned: 8 (million)
% 0.14/0.41 % (2135)------------------------------
% 0.14/0.41 % (2135)------------------------------
% 0.14/0.42 % (2140)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.23/0.42 % (2141)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.42 % (2141)Instruction limit reached!
% 0.23/0.42 % (2141)------------------------------
% 0.23/0.42 % (2141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (2141)Termination reason: Unknown
% 0.23/0.42 % (2141)Termination phase: Twee Goal Transformation
% 0.23/0.42
% 0.23/0.42 % (2141)Memory used [KB]: 1023
% 0.23/0.42 % (2141)Time elapsed: 0.004 s
% 0.23/0.42 % (2141)Instructions burned: 3 (million)
% 0.23/0.42 % (2141)------------------------------
% 0.23/0.42 % (2141)------------------------------
% 0.23/0.42 % (2126)Instruction limit reached!
% 0.23/0.42 % (2126)------------------------------
% 0.23/0.42 % (2126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (2126)Termination reason: Unknown
% 0.23/0.42 % (2126)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (2126)Memory used [KB]: 5756
% 0.23/0.42 % (2126)Time elapsed: 0.023 s
% 0.23/0.42 % (2126)Instructions burned: 37 (million)
% 0.23/0.42 % (2126)------------------------------
% 0.23/0.42 % (2126)------------------------------
% 0.23/0.42 % (2146)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.43 % (2146)Instruction limit reached!
% 0.23/0.43 % (2146)------------------------------
% 0.23/0.43 % (2146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (2146)Termination reason: Unknown
% 0.23/0.43 % (2146)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (2146)Memory used [KB]: 1023
% 0.23/0.43 % (2146)Time elapsed: 0.004 s
% 0.23/0.43 % (2146)Instructions burned: 3 (million)
% 0.23/0.43 % (2146)------------------------------
% 0.23/0.43 % (2146)------------------------------
% 0.23/0.43 % (2140)Instruction limit reached!
% 0.23/0.43 % (2140)------------------------------
% 0.23/0.43 % (2140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (2140)Termination reason: Unknown
% 0.23/0.43 % (2140)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (2140)Memory used [KB]: 5628
% 0.23/0.43 % (2140)Time elapsed: 0.012 s
% 0.23/0.43 % (2140)Instructions burned: 17 (million)
% 0.23/0.43 % (2140)------------------------------
% 0.23/0.43 % (2140)------------------------------
% 0.23/0.43 % (2149)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.43 % (2149)Instruction limit reached!
% 0.23/0.43 % (2149)------------------------------
% 0.23/0.43 % (2149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (2149)Termination reason: Unknown
% 0.23/0.43 % (2149)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (2149)Memory used [KB]: 5500
% 0.23/0.43 % (2149)Time elapsed: 0.028 s
% 0.23/0.43 % (2149)Instructions burned: 8 (million)
% 0.23/0.43 % (2149)------------------------------
% 0.23/0.43 % (2149)------------------------------
% 0.23/0.43 % (2154)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.23/0.44 % (2153)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.44 % (2154)Instruction limit reached!
% 0.23/0.44 % (2154)------------------------------
% 0.23/0.44 % (2154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (2154)Termination reason: Unknown
% 0.23/0.44 % (2154)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (2154)Memory used [KB]: 5500
% 0.23/0.44 % (2154)Time elapsed: 0.005 s
% 0.23/0.44 % (2154)Instructions burned: 4 (million)
% 0.23/0.44 % (2154)------------------------------
% 0.23/0.44 % (2154)------------------------------
% 0.23/0.44 % (2153)Instruction limit reached!
% 0.23/0.44 % (2153)------------------------------
% 0.23/0.44 % (2153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (2153)Termination reason: Unknown
% 0.23/0.44 % (2153)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (2153)Memory used [KB]: 1023
% 0.23/0.44 % (2153)Time elapsed: 0.003 s
% 0.23/0.44 % (2153)Instructions burned: 3 (million)
% 0.23/0.44 % (2153)------------------------------
% 0.23/0.44 % (2153)------------------------------
% 0.23/0.44 % (2155)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.44 % (2157)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.23/0.45 % (2160)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.45 % (2163)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.23/0.45 % (2160)Instruction limit reached!
% 0.23/0.45 % (2160)------------------------------
% 0.23/0.45 % (2160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (2160)Termination reason: Unknown
% 0.23/0.45 % (2160)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (2160)Memory used [KB]: 5500
% 0.23/0.45 % (2160)Time elapsed: 0.006 s
% 0.23/0.45 % (2160)Instructions burned: 6 (million)
% 0.23/0.45 % (2160)------------------------------
% 0.23/0.45 % (2160)------------------------------
% 0.23/0.45 % (2164)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.23/0.45 % (2155)Instruction limit reached!
% 0.23/0.45 % (2155)------------------------------
% 0.23/0.45 % (2155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (2155)Termination reason: Unknown
% 0.23/0.45 % (2155)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (2155)Memory used [KB]: 5628
% 0.23/0.45 % (2155)Time elapsed: 0.038 s
% 0.23/0.45 % (2155)Instructions burned: 18 (million)
% 0.23/0.45 % (2155)------------------------------
% 0.23/0.45 % (2155)------------------------------
% 0.23/0.46 % (2129)First to succeed.
% 0.23/0.47 % (2171)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.47 % (2164)Instruction limit reached!
% 0.23/0.47 % (2164)------------------------------
% 0.23/0.47 % (2164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (2164)Termination reason: Unknown
% 0.23/0.47 % (2164)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (2164)Memory used [KB]: 5628
% 0.23/0.47 % (2164)Time elapsed: 0.016 s
% 0.23/0.47 % (2164)Instructions burned: 21 (million)
% 0.23/0.47 % (2164)------------------------------
% 0.23/0.47 % (2164)------------------------------
% 0.23/0.47 % (2129)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Theorem for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.47 % (2129)------------------------------
% 0.23/0.47 % (2129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (2129)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (2129)Memory used [KB]: 6140
% 0.23/0.47 % (2129)Time elapsed: 0.068 s
% 0.23/0.47 % (2129)Instructions burned: 93 (million)
% 0.23/0.47 % (2129)------------------------------
% 0.23/0.47 % (2129)------------------------------
% 0.23/0.47 % (2101)Success in time 0.099 s
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------