TSTP Solution File: SEV010^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV010^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 16:01:24 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 178 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 1332 ( 270 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2719 ( 203 ~; 190 |; 207 &;1544 @)
% ( 23 <=>; 196 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 133 ( 133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 25 usr; 25 con; 0-2 aty)
% ( 264 !!; 92 ??; 0 @@+; 0 @@-)
% Number of variables : 402 ( 302 ^ 85 !; 15 ?; 402 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_19,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
sK2: a > a > $o ).
thf(func_def_21,type,
sK3: a ).
thf(func_def_22,type,
sK4: a > $o ).
thf(func_def_23,type,
sK5: a ).
thf(func_def_24,type,
sK6: a ).
thf(func_def_25,type,
sK7: a ).
thf(func_def_26,type,
sK8: a ).
thf(func_def_27,type,
sK9: a ).
thf(func_def_28,type,
sK10: a > $o ).
thf(func_def_29,type,
sK11: a ).
thf(f925,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f60,f79,f91,f117,f124,f181,f188,f280,f375,f432,f447,f815,f821,f824,f912,f921]) ).
thf(f921,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f920]) ).
thf(f920,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f919]) ).
thf(f919,plain,
( ( $true = $false )
| ~ spl0_12
| ~ spl0_14 ),
inference(backward_demodulation,[],[f187,f180]) ).
thf(f180,plain,
( ( ( sK2 @ sK3 @ sK7 )
= $false )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f179,plain,
( spl0_12
<=> ( ( sK2 @ sK3 @ sK7 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f187,plain,
( ( $true
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f186,plain,
( spl0_14
<=> ( $true
= ( sK2 @ sK3 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f912,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f911]) ).
thf(f911,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f910]) ).
thf(f910,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(boolean_simplification,[],[f909]) ).
thf(f909,plain,
( ( $true = ~ $true )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f908,f877]) ).
thf(f877,plain,
( ( $true
= ( sK2 @ sK3 @ sK9 ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f871]) ).
thf(f871,plain,
( ( ( $true
=> ( sK2 @ sK3 @ sK9 ) )
= $true )
| ~ spl0_5 ),
inference(superposition,[],[f801,f583]) ).
thf(f583,plain,
( ( $true
= ( sK4 @ sK3 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f579]) ).
thf(f579,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f578]) ).
thf(f578,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 )
& $true ) )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f563,f576]) ).
thf(f576,plain,
( ( $true
= ( ?? @ a @ sK4 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f563]) ).
thf(f563,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 )
& ( ?? @ a @ sK4 ) ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f546]) ).
thf(f546,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 )
& ( ?? @ a @ sK4 ) )
=> ( ( sK2 @ sK3 )
= sK4 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f542]) ).
thf(f542,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) )
@ sK4 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f87]) ).
thf(f87,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f86,plain,
( spl0_5
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f801,plain,
( ! [X0: a] :
( $true
= ( ( sK4 @ X0 )
=> ( sK2 @ X0 @ sK9 ) ) )
| ~ spl0_5 ),
inference(superposition,[],[f47,f791]) ).
thf(f791,plain,
( ! [X1: a] :
( ( sK4 @ X1 )
= ( sK2 @ sK9 @ X1 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f790]) ).
thf(f790,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
= ( sK2 @ sK9 @ X1 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f787]) ).
thf(f787,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK2 @ sK9 @ Y0 ) )
@ X1 ) )
| ~ spl0_5 ),
inference(pi_clausification,[],[f610]) ).
thf(f610,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK2 @ sK9 @ Y0 ) ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f609]) ).
thf(f609,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK2 @ sK9 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(superposition,[],[f593,f580]) ).
thf(f580,plain,
( ( $true
= ( sK4 @ sK9 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f576]) ).
thf(f593,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK2 @ X1 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f591]) ).
thf(f591,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_5 ),
inference(pi_clausification,[],[f587]) ).
thf(f587,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f586]) ).
thf(f586,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& $true )
= $true )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f579,f583]) ).
thf(f47,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X2 @ X1 )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f40]) ).
thf(f40,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ),
inference(boolean_simplification,[],[f39]) ).
thf(f39,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f18,f37]) ).
thf(f37,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 )
& ( ?? @ a @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) )
=> ( ?? @ a @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 )
& ( ?? @ a @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 )
& ( ?? @ a @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) ) )
=> ( Y2 = Y3 ) ) )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( Y3 @ Y1 )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) ) )
=> ( Y2 = Y3 ) ) )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X4 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X4 @ X3 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X0 @ X6 @ X5 ) ) )
=> ( ! [X7: a > $o] :
( ( ? [X8: a] : ( X7 @ X8 )
& ! [X9: a] :
( ( X7 @ X9 )
=> ! [X10: a] :
( ( X7 @ X10 )
<=> ( X0 @ X9 @ X10 ) ) ) )
=> ? [X11: a] : ( X7 @ X11 ) )
& ! [X12: a] :
? [X13: a > $o] :
( ? [X14: a] : ( X13 @ X14 )
& ! [X15: a > $o] :
( ( ? [X16: a] : ( X15 @ X16 )
& ( X15 @ X12 )
& ! [X17: a] :
( ( X15 @ X17 )
=> ! [X18: a] :
( ( X15 @ X18 )
<=> ( X0 @ X17 @ X18 ) ) ) )
=> ( X13 = X15 ) )
& ! [X19: a] :
( ( X13 @ X19 )
=> ! [X20: a] :
( ( X13 @ X20 )
<=> ( X0 @ X19 @ X20 ) ) )
& ( X13 @ X12 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ( ! [X4: a > $o] :
( ( ? [X3: a] : ( X4 @ X3 )
& ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ? [X3: a] : ( X4 @ X3 )
& ! [X6: a > $o] :
( ( ? [X3: a] : ( X6 @ X3 )
& ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ( X4 @ X1 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
=> ( ! [X4: a > $o] :
( ( ? [X3: a] : ( X4 @ X3 )
& ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ? [X3: a] : ( X4 @ X3 )
& ! [X6: a > $o] :
( ( ? [X3: a] : ( X6 @ X3 )
& ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ( X4 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM260_pme) ).
thf(f908,plain,
( ( $true
= ( ~ ( sK2 @ sK3 @ sK9 ) ) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(boolean_simplification,[],[f907]) ).
thf(f907,plain,
( ( $true
= ( ~ ( $true
& ( sK2 @ sK3 @ sK9 ) ) ) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f892,f123]) ).
thf(f123,plain,
( ( $true
= ( sK4 @ sK5 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f122,plain,
( spl0_10
<=> ( $true
= ( sK4 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f892,plain,
( ( ( ~ ( ( sK4 @ sK5 )
& ( sK2 @ sK3 @ sK9 ) ) )
= $true )
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f841,f791]) ).
thf(f841,plain,
( ! [X0: a] :
( $true
= ( ~ ( ( sK2 @ X0 @ sK5 )
& ( sK2 @ sK3 @ X0 ) ) ) )
| ~ spl0_8 ),
inference(boolean_simplification,[],[f831]) ).
thf(f831,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ X0 @ sK5 )
& ( sK2 @ sK3 @ X0 ) )
=> $false ) )
| ~ spl0_8 ),
inference(superposition,[],[f102,f116]) ).
thf(f116,plain,
( ( ( sK2 @ sK3 @ sK5 )
= $false )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f115,plain,
( spl0_8
<=> ( ( sK2 @ sK3 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f102,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK2 @ X3 @ X2 )
& ( sK2 @ X1 @ X3 ) )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f101]) ).
thf(f101,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f95]) ).
thf(f95,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f94]) ).
thf(f94,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f83]) ).
thf(f83,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f37]) ).
thf(f824,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f823]) ).
thf(f823,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f822]) ).
thf(f822,plain,
( ( $true = $false )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f120,f116]) ).
thf(f120,plain,
( ( $true
= ( sK2 @ sK3 @ sK5 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f119,plain,
( spl0_9
<=> ( $true
= ( sK2 @ sK3 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f821,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f820]) ).
thf(f820,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f819]) ).
thf(f819,plain,
( ( $true = $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f123,f113]) ).
thf(f113,plain,
( ( $false
= ( sK4 @ sK5 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f112,plain,
( spl0_7
<=> ( $false
= ( sK4 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f815,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f814]) ).
thf(f814,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f813]) ).
thf(f813,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f812,f113]) ).
thf(f812,plain,
( ( $true
= ( sK4 @ sK5 ) )
| ~ spl0_5
| ~ spl0_9 ),
inference(boolean_simplification,[],[f811]) ).
thf(f811,plain,
( ( $true
= ( $true
=> ( sK4 @ sK5 ) ) )
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f810,f583]) ).
thf(f810,plain,
( ( $true
= ( ( sK4 @ sK3 )
=> ( sK4 @ sK5 ) ) )
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f804,f791]) ).
thf(f804,plain,
( ( $true
= ( ( sK2 @ sK9 @ sK3 )
=> ( sK4 @ sK5 ) ) )
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f205,f791]) ).
thf(f205,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK5 ) ) )
| ~ spl0_9 ),
inference(boolean_simplification,[],[f196]) ).
thf(f196,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK3 ) )
=> ( sK2 @ X0 @ sK5 ) ) )
| ~ spl0_9 ),
inference(superposition,[],[f102,f120]) ).
thf(f447,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f446]) ).
thf(f446,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f445]) ).
thf(f445,plain,
( ( $true = $false )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f444]) ).
thf(f444,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK10 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& $false ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f441,f443]) ).
thf(f443,plain,
( ( $false
= ( ?? @ a @ sK10 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f442]) ).
thf(f442,plain,
( ( $false
= ( $true
=> ( ?? @ a @ sK10 ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f436,f441]) ).
thf(f436,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK10 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK10 ) )
=> ( ?? @ a @ sK10 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f435]) ).
thf(f435,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) )
@ sK10 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f24]) ).
thf(f24,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f23,plain,
( spl0_1
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f441,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK10 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK10 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f436]) ).
thf(f432,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f431]) ).
thf(f431,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f430,plain,
( ( $true = $false )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(boolean_simplification,[],[f429]) ).
thf(f429,plain,
( ( $true = ~ $true )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f384,f426]) ).
thf(f426,plain,
( ( ( sK2 @ sK7 @ sK6 )
= $true )
| ~ spl0_6
| ~ spl0_14 ),
inference(boolean_simplification,[],[f415]) ).
thf(f415,plain,
( ( $true
= ( $true
=> ( sK2 @ sK7 @ sK6 ) ) )
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f315,f402]) ).
thf(f402,plain,
( ( $true
= ( sK2 @ sK7 @ sK3 ) )
| ~ spl0_14 ),
inference(boolean_simplification,[],[f396]) ).
thf(f396,plain,
( ( $true
= ( $true
=> ( sK2 @ sK7 @ sK3 ) ) )
| ~ spl0_14 ),
inference(superposition,[],[f47,f187]) ).
thf(f315,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK6 ) ) )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f307]) ).
thf(f307,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK3 ) )
=> ( sK2 @ X0 @ sK6 ) ) )
| ~ spl0_6 ),
inference(superposition,[],[f102,f302]) ).
thf(f302,plain,
( ( $true
= ( sK2 @ sK3 @ sK6 ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f288]) ).
thf(f288,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK6 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f283]) ).
thf(f283,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK6 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f90]) ).
thf(f90,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f89,plain,
( spl0_6
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f384,plain,
( ( $true
= ( ~ ( sK2 @ sK7 @ sK6 ) ) )
| ~ spl0_11 ),
inference(boolean_simplification,[],[f382]) ).
thf(f382,plain,
( ( $true
= ( ( sK2 @ sK7 @ sK6 )
=> $false ) )
| ~ spl0_11 ),
inference(superposition,[],[f47,f177]) ).
thf(f177,plain,
( ( ( sK2 @ sK6 @ sK7 )
= $false )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f176]) ).
thf(f176,plain,
( spl0_11
<=> ( ( sK2 @ sK6 @ sK7 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f375,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f374]) ).
thf(f374,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f373]) ).
thf(f373,plain,
( ( $true = $false )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(boolean_simplification,[],[f372]) ).
thf(f372,plain,
( ( $true = ~ $true )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f362,f184]) ).
thf(f184,plain,
( ( $true
= ( sK2 @ sK6 @ sK7 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f183]) ).
thf(f183,plain,
( spl0_13
<=> ( $true
= ( sK2 @ sK6 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f362,plain,
( ( $true
= ( ~ ( sK2 @ sK6 @ sK7 ) ) )
| ~ spl0_6
| ~ spl0_12 ),
inference(boolean_simplification,[],[f358]) ).
thf(f358,plain,
( ( $true
= ( ( sK2 @ sK6 @ sK7 )
=> $false ) )
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f313,f180]) ).
thf(f313,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK6 @ X0 )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f308]) ).
thf(f308,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ sK6 @ X0 )
& $true )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_6 ),
inference(superposition,[],[f102,f302]) ).
thf(f280,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f279]) ).
thf(f279,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f278,plain,
( ( $true = $false )
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f184,f177]) ).
thf(f188,plain,
( spl0_13
| spl0_14
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f173,f89,f186,f183]) ).
thf(f173,plain,
( ( $true
= ( sK2 @ sK6 @ sK7 ) )
| ( $true
= ( sK2 @ sK3 @ sK7 ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f160]) ).
thf(f160,plain,
( ( ( sK2 @ sK3 @ sK7 )
!= ( sK2 @ sK6 @ sK7 ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f159,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK7 )
= ( sK2 @ sK6 @ sK7 ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f158]) ).
thf(f158,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) )
@ sK7 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f142]) ).
thf(f142,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) ) )
= $false )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f132]) ).
thf(f132,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK6 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK6 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f127]) ).
thf(f127,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK6 )
= $false )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f90]) ).
thf(f181,plain,
( spl0_11
| spl0_12
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f174,f89,f179,f176]) ).
thf(f174,plain,
( ( ( sK2 @ sK3 @ sK7 )
= $false )
| ( ( sK2 @ sK6 @ sK7 )
= $false )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f160]) ).
thf(f124,plain,
( spl0_9
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f109,f86,f122,f119]) ).
thf(f109,plain,
( ( $true
= ( sK2 @ sK3 @ sK5 ) )
| ( $true
= ( sK4 @ sK5 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f108]) ).
thf(f108,plain,
( ( ( sK2 @ sK3 @ sK5 )
!= ( sK4 @ sK5 ) )
| ~ spl0_5 ),
inference(negative_extensionality,[],[f107]) ).
thf(f107,plain,
( ( ( sK2 @ sK3 )
!= sK4 )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f106]) ).
thf(f106,plain,
( ( $false
= ( ( sK2 @ sK3 )
= sK4 ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f105]) ).
thf(f105,plain,
( ( $false
= ( $true
=> ( ( sK2 @ sK3 )
= sK4 ) ) )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f100,f104]) ).
thf(f104,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 )
& ( ?? @ a @ sK4 ) ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f100]) ).
thf(f100,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK4 @ sK3 )
& ( ?? @ a @ sK4 ) )
=> ( ( sK2 @ sK3 )
= sK4 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f96]) ).
thf(f96,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) )
@ sK4 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f87]) ).
thf(f117,plain,
( spl0_7
| spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f110,f86,f115,f112]) ).
thf(f110,plain,
( ( ( sK2 @ sK3 @ sK5 )
= $false )
| ( $false
= ( sK4 @ sK5 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f108]) ).
thf(f91,plain,
( spl0_5
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f84,f58,f89,f86]) ).
thf(f58,plain,
( spl0_4
<=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f84,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f79,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f78]) ).
thf(f78,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f66,plain,
( ( $true = $false )
| ~ spl0_3 ),
inference(superposition,[],[f63,f32]) ).
thf(f32,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] : ( sK2 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ),
inference(boolean_simplification,[],[f19]) ).
thf(f19,plain,
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) ) ) ),
inference(backward_demodulation,[],[f14,f18]) ).
thf(f63,plain,
( ! [X1: a] :
( $false
= ( sK2 @ sK3 @ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f56]) ).
thf(f56,plain,
( ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f55,plain,
( spl0_3
<=> ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f60,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f53,f26,f58,f55]) ).
thf(f26,plain,
( spl0_2
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f53,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) ) )
= $false )
| ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) )
& ( ?? @ a @ ( sK2 @ sK3 ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f42]) ).
thf(f42,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( ( sK2 @ sK3 )
= Y0 ) ) )
& ( ?? @ a @ ( sK2 @ sK3 ) ) )
= $false )
| ~ spl0_2 ),
inference(superposition,[],[f36,f32]) ).
thf(f36,plain,
( ! [X1: a > $o] :
( $false
= ( ( X1 @ sK3 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 )
& ( ?? @ a @ Y0 ) )
=> ( X1 = Y0 ) ) )
& ( ?? @ a @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 )
& ( ?? @ a @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( ?? @ a @ Y0 ) )
@ X1 )
= $false )
| ~ spl0_2 ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ sK3 )
& ( ?? @ a @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( ?? @ a @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) )
@ sK3 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f27]) ).
thf(f27,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f26,f23]) ).
thf(f21,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f15]) ).
thf(f15,plain,
( $false
= ( $true
=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK2 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y0 )
& ( ?? @ a @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( ?? @ a @ Y1 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 ) )
=> ( ?? @ a @ Y0 ) ) ) ) ) ),
inference(backward_demodulation,[],[f12,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEV010^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.08 % Command : run_vampire %s %d THM
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Fri Jun 21 18:40:08 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.11/0.28 This is a TH0_THM_EQU_NAR problem
% 0.11/0.28 Running higher-order theorem proving
% 0.11/0.28 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.11/0.29 % (3595)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.11/0.29 % (3597)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.29 % (3599)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.29 % (3598)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.29 % (3594)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.29 % (3597)Instruction limit reached!
% 0.11/0.29 % (3597)------------------------------
% 0.11/0.29 % (3597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.29 % (3597)Termination reason: Unknown
% 0.11/0.29 % (3597)Termination phase: Property scanning
% 0.11/0.29
% 0.11/0.29 % (3597)Memory used [KB]: 1023
% 0.11/0.29 % (3597)Time elapsed: 0.002 s
% 0.11/0.29 % (3597)Instructions burned: 2 (million)
% 0.11/0.29 % (3597)------------------------------
% 0.11/0.29 % (3597)------------------------------
% 0.11/0.29 % (3594)Instruction limit reached!
% 0.11/0.29 % (3594)------------------------------
% 0.11/0.29 % (3594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.29 % (3594)Termination reason: Unknown
% 0.11/0.29 % (3594)Termination phase: Saturation
% 0.11/0.29
% 0.11/0.29 % (3594)Memory used [KB]: 5500
% 0.11/0.29 % (3594)Time elapsed: 0.004 s
% 0.11/0.29 % (3594)Instructions burned: 5 (million)
% 0.11/0.29 % (3594)------------------------------
% 0.11/0.29 % (3594)------------------------------
% 0.11/0.30 % (3596)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.30 % (3593)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.30 % (3596)Instruction limit reached!
% 0.11/0.30 % (3596)------------------------------
% 0.11/0.30 % (3596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.30 % (3596)Termination reason: Unknown
% 0.11/0.30 % (3596)Termination phase: Preprocessing 3
% 0.11/0.30
% 0.11/0.30 % (3596)Memory used [KB]: 1023
% 0.11/0.30 % (3596)Time elapsed: 0.003 s
% 0.11/0.30 % (3596)Instructions burned: 2 (million)
% 0.11/0.30 % (3596)------------------------------
% 0.11/0.30 % (3596)------------------------------
% 0.11/0.30 % (3599)Instruction limit reached!
% 0.11/0.30 % (3599)------------------------------
% 0.11/0.30 % (3599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.30 % (3599)Termination reason: Unknown
% 0.11/0.30 % (3599)Termination phase: Saturation
% 0.11/0.30
% 0.11/0.30 % (3599)Memory used [KB]: 5628
% 0.11/0.30 % (3599)Time elapsed: 0.009 s
% 0.11/0.30 % (3599)Instructions burned: 19 (million)
% 0.11/0.30 % (3599)------------------------------
% 0.11/0.30 % (3599)------------------------------
% 0.11/0.30 % (3606)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.30 % (3606)Instruction limit reached!
% 0.11/0.30 % (3606)------------------------------
% 0.11/0.30 % (3606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.30 % (3606)Termination reason: Unknown
% 0.11/0.30 % (3606)Termination phase: Saturation
% 0.11/0.30
% 0.11/0.30 % (3606)Memory used [KB]: 5500
% 0.11/0.30 % (3606)Time elapsed: 0.003 s
% 0.11/0.30 % (3606)Instructions burned: 3 (million)
% 0.11/0.30 % (3606)------------------------------
% 0.11/0.30 % (3606)------------------------------
% 0.11/0.30 % (3595)Instruction limit reached!
% 0.11/0.30 % (3595)------------------------------
% 0.11/0.30 % (3595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.30 % (3595)Termination reason: Unknown
% 0.11/0.30 % (3595)Termination phase: Saturation
% 0.11/0.30
% 0.11/0.30 % (3595)Memory used [KB]: 5756
% 0.11/0.30 % (3595)Time elapsed: 0.013 s
% 0.11/0.30 % (3595)Instructions burned: 28 (million)
% 0.11/0.30 % (3595)------------------------------
% 0.11/0.30 % (3595)------------------------------
% 0.11/0.30 % (3609)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.11/0.31 % (3611)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.11/0.31 % (3616)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.31 % (3616)Instruction limit reached!
% 0.13/0.31 % (3616)------------------------------
% 0.13/0.31 % (3616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.31 % (3616)Termination reason: Unknown
% 0.13/0.31 % (3616)Termination phase: Saturation
% 0.13/0.31
% 0.13/0.31 % (3616)Memory used [KB]: 5500
% 0.13/0.31 % (3616)Time elapsed: 0.003 s
% 0.13/0.31 % (3616)Instructions burned: 3 (million)
% 0.13/0.31 % (3616)------------------------------
% 0.13/0.31 % (3616)------------------------------
% 0.13/0.31 % (3619)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.13/0.31 % (3621)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.32 % (3621)Instruction limit reached!
% 0.13/0.32 % (3621)------------------------------
% 0.13/0.32 % (3621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.32 % (3621)Termination reason: Unknown
% 0.13/0.32 % (3621)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (3621)Memory used [KB]: 1023
% 0.13/0.32 % (3621)Time elapsed: 0.005 s
% 0.13/0.32 % (3621)Instructions burned: 8 (million)
% 0.13/0.32 % (3621)------------------------------
% 0.13/0.32 % (3621)------------------------------
% 0.13/0.32 % (3611)Instruction limit reached!
% 0.13/0.32 % (3611)------------------------------
% 0.13/0.32 % (3611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.32 % (3611)Termination reason: Unknown
% 0.13/0.32 % (3611)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (3611)Memory used [KB]: 5628
% 0.13/0.32 % (3611)Time elapsed: 0.009 s
% 0.13/0.32 % (3611)Instructions burned: 15 (million)
% 0.13/0.32 % (3611)------------------------------
% 0.13/0.32 % (3611)------------------------------
% 0.13/0.32 % (3609)Instruction limit reached!
% 0.13/0.32 % (3609)------------------------------
% 0.13/0.32 % (3609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.32 % (3609)Termination reason: Unknown
% 0.13/0.32 % (3609)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (3609)Memory used [KB]: 5628
% 0.13/0.32 % (3609)Time elapsed: 0.015 s
% 0.13/0.32 % (3609)Instructions burned: 38 (million)
% 0.13/0.32 % (3609)------------------------------
% 0.13/0.32 % (3609)------------------------------
% 0.13/0.32 % (3625)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.32 % (3627)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.32 % (3625)Instruction limit reached!
% 0.13/0.32 % (3625)------------------------------
% 0.13/0.32 % (3625)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.32 % (3625)Termination reason: Unknown
% 0.13/0.32 % (3625)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (3625)Memory used [KB]: 5628
% 0.13/0.32 % (3625)Time elapsed: 0.008 s
% 0.13/0.32 % (3625)Instructions burned: 16 (million)
% 0.13/0.32 % (3625)------------------------------
% 0.13/0.32 % (3625)------------------------------
% 0.13/0.33 % (3627)Instruction limit reached!
% 0.13/0.33 % (3627)------------------------------
% 0.13/0.33 % (3627)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.33 % (3627)Termination reason: Unknown
% 0.13/0.33 % (3627)Termination phase: Twee Goal Transformation
% 0.13/0.33
% 0.13/0.33 % (3627)Memory used [KB]: 1023
% 0.13/0.33 % (3627)Time elapsed: 0.003 s
% 0.13/0.33 % (3627)Instructions burned: 4 (million)
% 0.13/0.33 % (3627)------------------------------
% 0.13/0.33 % (3627)------------------------------
% 0.13/0.33 % (3628)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.33 % (3629)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.33 % (3628)Instruction limit reached!
% 0.13/0.33 % (3628)------------------------------
% 0.13/0.33 % (3628)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.33 % (3628)Termination reason: Unknown
% 0.13/0.33 % (3628)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.33 % (3628)Memory used [KB]: 1023
% 0.13/0.33 % (3628)Time elapsed: 0.003 s
% 0.13/0.33 % (3628)Instructions burned: 4 (million)
% 0.13/0.33 % (3628)------------------------------
% 0.13/0.33 % (3628)------------------------------
% 0.13/0.33 % (3629)Instruction limit reached!
% 0.13/0.33 % (3629)------------------------------
% 0.13/0.33 % (3629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.33 % (3629)Termination reason: Unknown
% 0.13/0.33 % (3629)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.33 % (3629)Memory used [KB]: 5500
% 0.13/0.33 % (3629)Time elapsed: 0.005 s
% 0.13/0.33 % (3629)Instructions burned: 8 (million)
% 0.13/0.33 % (3629)------------------------------
% 0.13/0.33 % (3629)------------------------------
% 0.13/0.33 % (3635)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.33 % (3637)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.34 % (3635)Instruction limit reached!
% 0.13/0.34 % (3635)------------------------------
% 0.13/0.34 % (3635)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.34 % (3635)Termination reason: Unknown
% 0.13/0.34 % (3635)Termination phase: Saturation
% 0.13/0.34
% 0.13/0.34 % (3635)Memory used [KB]: 5500
% 0.13/0.34 % (3635)Time elapsed: 0.003 s
% 0.13/0.34 % (3635)Instructions burned: 4 (million)
% 0.13/0.34 % (3635)------------------------------
% 0.13/0.34 % (3635)------------------------------
% 0.13/0.34 % (3637)Instruction limit reached!
% 0.13/0.34 % (3637)------------------------------
% 0.13/0.34 % (3637)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.34 % (3637)Termination reason: Unknown
% 0.13/0.34 % (3637)Termination phase: Saturation
% 0.13/0.34
% 0.13/0.34 % (3637)Memory used [KB]: 5500
% 0.13/0.34 % (3637)Time elapsed: 0.004 s
% 0.13/0.34 % (3637)Instructions burned: 5 (million)
% 0.13/0.34 % (3637)------------------------------
% 0.13/0.34 % (3637)------------------------------
% 0.13/0.34 % (3638)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.34 % (3640)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.13/0.34 % (3644)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.13/0.35 % (3646)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.13/0.35 % (3638)Instruction limit reached!
% 0.13/0.35 % (3638)------------------------------
% 0.13/0.35 % (3638)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.35 % (3638)Termination reason: Unknown
% 0.13/0.35 % (3638)Termination phase: Saturation
% 0.13/0.35
% 0.13/0.35 % (3638)Memory used [KB]: 5628
% 0.13/0.35 % (3638)Time elapsed: 0.010 s
% 0.13/0.35 % (3638)Instructions burned: 20 (million)
% 0.13/0.35 % (3638)------------------------------
% 0.13/0.35 % (3638)------------------------------
% 0.13/0.35 % (3644)Instruction limit reached!
% 0.13/0.35 % (3644)------------------------------
% 0.13/0.35 % (3644)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.35 % (3644)Termination reason: Unknown
% 0.13/0.35 % (3644)Termination phase: Saturation
% 0.13/0.35
% 0.13/0.35 % (3644)Memory used [KB]: 5500
% 0.13/0.35 % (3644)Time elapsed: 0.004 s
% 0.13/0.35 % (3644)Instructions burned: 6 (million)
% 0.13/0.35 % (3644)------------------------------
% 0.13/0.35 % (3644)------------------------------
% 0.13/0.36 % (3653)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.13/0.36 % (3651)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.13/0.36 % (3653)Instruction limit reached!
% 0.13/0.36 % (3653)------------------------------
% 0.13/0.36 % (3653)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.36 % (3653)Termination reason: Unknown
% 0.13/0.36 % (3653)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (3653)Memory used [KB]: 5500
% 0.13/0.36 % (3653)Time elapsed: 0.004 s
% 0.13/0.36 % (3653)Instructions burned: 6 (million)
% 0.13/0.36 % (3653)------------------------------
% 0.13/0.36 % (3653)------------------------------
% 0.13/0.36 % (3593)Instruction limit reached!
% 0.13/0.36 % (3593)------------------------------
% 0.13/0.36 % (3593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.36 % (3593)Termination reason: Unknown
% 0.13/0.36 % (3593)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (3593)Memory used [KB]: 6652
% 0.13/0.36 % (3593)Time elapsed: 0.065 s
% 0.13/0.36 % (3593)Instructions burned: 183 (million)
% 0.13/0.36 % (3593)------------------------------
% 0.13/0.36 % (3593)------------------------------
% 0.13/0.36 % (3619)First to succeed.
% 0.13/0.36 % (3619)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (3619)------------------------------
% 0.13/0.36 % (3619)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.36 % (3619)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (3619)Memory used [KB]: 6268
% 0.13/0.36 % (3619)Time elapsed: 0.052 s
% 0.13/0.36 % (3619)Instructions burned: 123 (million)
% 0.13/0.36 % (3619)------------------------------
% 0.13/0.36 % (3619)------------------------------
% 0.13/0.36 % (3590)Success in time 0.072 s
%------------------------------------------------------------------------------