TSTP Solution File: SEV010^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV010^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 09:41:01 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 147 ( 33 unt; 11 typ; 0 def)
% Number of atoms : 1077 ( 224 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2355 ( 123 ~; 120 |; 190 &;1399 @)
% ( 19 <=>; 173 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 130 ( 130 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 19 usr; 19 con; 0-2 aty)
% ( 244 !!; 87 ??; 0 @@+; 0 @@-)
% Number of variables : 378 ( 280 ^ 82 !; 15 ?; 378 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% 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 ).
thf(func_def_23,type,
sK5: a ).
thf(func_def_24,type,
sK6: a > $o ).
thf(func_def_25,type,
sK7: a > $o ).
thf(func_def_26,type,
sK8: a ).
thf(func_def_27,type,
sK9: a ).
thf(f610,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f79,f92,f139,f146,f190,f194,f198,f231,f263,f479,f609]) ).
thf(f609,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f608]) ).
thf(f608,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f607]) ).
thf(f607,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f601,f547]) ).
thf(f547,plain,
( ( $false
= ( sK2 @ sK5 @ sK4 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f533]) ).
thf(f533,plain,
( ( $false
= ( sK2 @ sK5 @ sK4 ) )
| ( $false = $true )
| ~ spl0_10 ),
inference(superposition,[],[f27,f145]) ).
thf(f145,plain,
( ( ( sK2 @ sK4 @ sK5 )
= $false )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f144,plain,
( spl0_10
<=> ( ( sK2 @ sK4 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f27,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK2 @ X1 @ X2 ) )
| ( ( sK2 @ X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK2 @ X2 @ X1 )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[],[f24]) ).
thf(f24,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ X1 )
=> ( sK2 @ X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f22]) ).
thf(f22,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ),
inference(boolean_simplification,[],[f21]) ).
thf(f21,plain,
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(backward_demodulation,[],[f14,f20]) ).
thf(f20,plain,
( ( ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ ( 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
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ ( 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
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ ( 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
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ ( 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
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ ( 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
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X0 @ X5 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X5 @ X4 ) )
& ! [X6: a] : ( X0 @ X6 @ X6 ) )
=> ( ! [X7: a] :
? [X8: a > $o] :
( ( X8 @ X7 )
& ! [X9: a] :
( ( X8 @ X9 )
=> ! [X10: a] :
( ( X8 @ X10 )
<=> ( X0 @ X9 @ X10 ) ) )
& ! [X11: a > $o] :
( ( ? [X12: a] : ( X11 @ X12 )
& ( X11 @ X7 )
& ! [X13: a] :
( ( X11 @ X13 )
=> ! [X14: a] :
( ( X11 @ X14 )
<=> ( X0 @ X13 @ X14 ) ) ) )
=> ( X8 = X11 ) )
& ? [X15: a] : ( X8 @ X15 ) )
& ! [X16: a > $o] :
( ( ! [X17: a] :
( ( X16 @ X17 )
=> ! [X18: a] :
( ( X16 @ X18 )
<=> ( X0 @ X17 @ X18 ) ) )
& ? [X19: a] : ( X16 @ X19 ) )
=> ? [X20: a] : ( X16 @ X20 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 ) )
=> ( ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ? [X3: a] : ( X6 @ X3 )
& ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ? [X3: a] : ( X4 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X2: a,X3: a,X1: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: a] : ( X0 @ X1 @ X1 ) )
=> ( ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ? [X3: a] : ( X6 @ X3 )
& ( X6 @ X1 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X4 = X6 ) )
& ? [X3: a] : ( X4 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X1 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vSJ7V0g5Gg/Vampire---4.8_19717',cTHM260_pme) ).
thf(f601,plain,
( ( $true
= ( sK2 @ sK5 @ sK4 ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(boolean_simplification,[],[f593]) ).
thf(f593,plain,
( ( $true
= ( $true
=> ( sK2 @ sK5 @ sK4 ) ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f522,f493]) ).
thf(f493,plain,
( ( ( sK2 @ sK5 @ sK3 )
= $true )
| ~ spl0_8 ),
inference(boolean_simplification,[],[f491]) ).
thf(f491,plain,
( ( ( $true
=> ( sK2 @ sK5 @ sK3 ) )
= $true )
| ~ spl0_8 ),
inference(superposition,[],[f26,f138]) ).
thf(f138,plain,
( ( ( sK2 @ sK3 @ sK5 )
= $true )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f137,plain,
( spl0_8
<=> ( ( sK2 @ sK3 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f522,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ X0 @ sK3 )
=> ( sK2 @ X0 @ sK4 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f517]) ).
thf(f517,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK2 @ X0 @ sK3 ) )
=> ( sK2 @ X0 @ sK4 ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f60,f499]) ).
thf(f499,plain,
( ( $true
= ( sK2 @ sK3 @ sK4 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f485]) ).
thf(f485,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK4 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK4 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f483]) ).
thf(f483,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK4 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f78]) ).
thf(f78,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f77,plain,
( spl0_4
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f60,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK2 @ X3 @ X2 )
& ( sK2 @ X1 @ X3 ) )
=> ( sK2 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f59]) ).
thf(f59,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f58]) ).
thf(f58,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ Y0 @ X2 )
& ( sK2 @ X1 @ Y0 ) )
=> ( sK2 @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f53]) ).
thf(f53,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ Y1 @ Y0 )
& ( sK2 @ X1 @ Y1 ) )
=> ( sK2 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f52]) ).
thf(f52,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,[],[f31]) ).
thf(f31,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f30]) ).
thf(f30,plain,
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y2 @ Y1 )
& ( sK2 @ Y0 @ Y2 ) )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f20,f29]) ).
thf(f29,plain,
( ( !! @ a
@ ^ [Y0: a] : ( sK2 @ Y0 @ Y0 ) )
= $true ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f479,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f478]) ).
thf(f478,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f325,f423]) ).
thf(f423,plain,
( ! [X1: a] :
( ( sK2 @ sK3 @ X1 )
= ( sK7 @ X1 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f422]) ).
thf(f422,plain,
( ! [X1: a] :
( $true
= ( ( sK7 @ X1 )
= ( sK2 @ sK3 @ X1 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f420]) ).
thf(f420,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK7 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) )
@ X1 ) )
| ~ spl0_5 ),
inference(pi_clausification,[],[f387]) ).
thf(f387,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f384]) ).
thf(f384,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
= ( sK2 @ sK3 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(superposition,[],[f371,f361]) ).
thf(f361,plain,
( ( $true
= ( sK7 @ sK3 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f357]) ).
thf(f357,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK7 @ sK3 ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f356]) ).
thf(f356,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK7 @ sK3 )
& $true )
= $true )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f321,f354]) ).
thf(f354,plain,
( ( $true
= ( ?? @ a @ sK7 ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f321]) ).
thf(f321,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK7 @ sK3 )
& ( ?? @ a @ sK7 ) ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f316]) ).
thf(f316,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( sK7 @ sK3 )
& ( ?? @ a @ sK7 ) )
=> ( ( sK2 @ sK3 )
= sK7 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f314]) ).
thf(f314,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 ) )
@ sK7 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f88]) ).
thf(f88,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,[],[f87]) ).
thf(f87,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(f371,plain,
( ! [X1: a] :
( $true
= ( ( sK7 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
= ( sK2 @ X1 @ Y0 ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f369]) ).
thf(f369,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_5 ),
inference(pi_clausification,[],[f366]) ).
thf(f366,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f364]) ).
thf(f364,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK7 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK7 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f357,f361]) ).
thf(f325,plain,
( ( ( sK2 @ sK3 @ sK8 )
!= ( sK7 @ sK8 ) )
| ~ spl0_5 ),
inference(negative_extensionality,[],[f324]) ).
thf(f324,plain,
( ( sK7
!= ( sK2 @ sK3 ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f323]) ).
thf(f323,plain,
( ( $false
= ( ( sK2 @ sK3 )
= sK7 ) )
| ~ spl0_5 ),
inference(boolean_simplification,[],[f322]) ).
thf(f322,plain,
( ( $false
= ( $true
=> ( ( sK2 @ sK3 )
= sK7 ) ) )
| ~ spl0_5 ),
inference(backward_demodulation,[],[f316,f321]) ).
thf(f263,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f262]) ).
thf(f262,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f261,plain,
( ( $false = $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f260]) ).
thf(f260,plain,
( ( $true
= ( $false
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f257,f259]) ).
thf(f259,plain,
( ( $false
= ( ?? @ a @ sK6 ) )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f258]) ).
thf(f258,plain,
( ( $false
= ( $true
=> ( ?? @ a @ sK6 ) ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f245,f257]) ).
thf(f245,plain,
( ( $false
= ( ( ( ?? @ a @ sK6 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
=> ( ?? @ a @ sK6 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f244]) ).
thf(f244,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) )
@ sK6 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f35]) ).
thf(f35,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f34,plain,
( spl0_1
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f257,plain,
( ( ( ( ?? @ a @ sK6 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f245]) ).
thf(f231,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f230]) ).
thf(f230,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f225,plain,
( ( $false = $true )
| ~ spl0_6 ),
inference(superposition,[],[f43,f214]) ).
thf(f214,plain,
( ! [X1: a] :
( $false
= ( sK2 @ sK3 @ X1 ) )
| ~ spl0_6 ),
inference(pi_clausification,[],[f91]) ).
thf(f91,plain,
( ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f90,plain,
( spl0_6
<=> ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f43,plain,
! [X1: a] :
( $true
= ( sK2 @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] : ( sK2 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f29]) ).
thf(f198,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f197]) ).
thf(f197,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f196,plain,
( ( $false = $true )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f135,f145]) ).
thf(f135,plain,
( ( ( sK2 @ sK4 @ sK5 )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f134,plain,
( spl0_7
<=> ( ( sK2 @ sK4 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f194,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f193]) ).
thf(f193,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f192,plain,
( ( $false = $true )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f138,f142]) ).
thf(f142,plain,
( ( $false
= ( sK2 @ sK3 @ sK5 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f141,plain,
( spl0_9
<=> ( $false
= ( sK2 @ sK3 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f190,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f189]) ).
thf(f189,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f188,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f180,f142]) ).
thf(f180,plain,
( ( ( sK2 @ sK3 @ sK5 )
= $true )
| ~ spl0_4
| ~ spl0_7 ),
inference(boolean_simplification,[],[f177]) ).
thf(f177,plain,
( ( $true
= ( $true
=> ( sK2 @ sK3 @ sK5 ) ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f112,f135]) ).
thf(f112,plain,
( ! [X0: a] :
( $true
= ( ( sK2 @ sK4 @ X0 )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f107]) ).
thf(f107,plain,
( ! [X0: a] :
( $true
= ( ( ( sK2 @ sK4 @ X0 )
& $true )
=> ( sK2 @ sK3 @ X0 ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f60,f101]) ).
thf(f101,plain,
( ( $true
= ( sK2 @ sK3 @ sK4 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK4 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK4 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f95]) ).
thf(f95,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) )
@ sK4 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f78]) ).
thf(f146,plain,
( spl0_9
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f132,f77,f144,f141]) ).
thf(f132,plain,
( ( $false
= ( sK2 @ sK3 @ sK5 ) )
| ( ( sK2 @ sK4 @ sK5 )
= $false )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f130,plain,
( ( ( sK2 @ sK4 @ sK5 )
!= ( sK2 @ sK3 @ sK5 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f129,plain,
( ( $false
= ( ( sK2 @ sK3 @ sK5 )
= ( sK2 @ sK4 @ sK5 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f128]) ).
thf(f128,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK4 @ Y0 ) )
@ sK5 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f100]) ).
thf(f100,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
= ( sK2 @ sK4 @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f139,plain,
( spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f131,f77,f137,f134]) ).
thf(f131,plain,
( ( ( sK2 @ sK4 @ sK5 )
= $true )
| ( ( sK2 @ sK3 @ sK5 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f92,plain,
( spl0_5
| spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f82,f74,f90,f87]) ).
thf(f74,plain,
( spl0_3
<=> ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ ( 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_3])]) ).
thf(f82,plain,
( ( $false
= ( ?? @ a @ ( sK2 @ sK3 ) ) )
| ( $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_3 ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ ( 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_3 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f79,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f70,f37,f77,f74]) ).
thf(f37,plain,
( spl0_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f70,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ ( 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_2 ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ ( 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
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f55]) ).
thf(f55,plain,
( ( $false
= ( ( ?? @ a @ ( sK2 @ sK3 ) )
& ( !! @ ( 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
@ ^ [Y0: a] :
( ( sK2 @ sK3 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK3 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_2 ),
inference(superposition,[],[f51,f43]) ).
thf(f51,plain,
( ! [X1: a > $o] :
( $false
= ( ( ?? @ a @ X1 )
& ( !! @ ( 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
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( sK2 @ Y0 @ Y1 ) ) ) ) )
& ( X1 @ sK3 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ ( 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
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ ( 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
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK3 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
( ( $false
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f38]) ).
thf(f38,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f37,f34]) ).
thf(f32,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) )
= $false )
| ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK2 @ Y1 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ ( 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
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK2 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEV010^5 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 12:31:30 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.vSJ7V0g5Gg/Vampire---4.8_19717
% 0.14/0.32 % (19829)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 (3000ds/27Mi)
% 0.14/0.32 % (19828)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 (3000ds/4Mi)
% 0.14/0.32 % (19827)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.14/0.32 % (19830)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.32 % (19832)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 (3000ds/275Mi)
% 0.14/0.32 % (19833)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.32 % (19831)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 (3000ds/2Mi)
% 0.14/0.32 % (19830)Instruction limit reached!
% 0.14/0.32 % (19830)------------------------------
% 0.14/0.32 % (19830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (19830)Termination reason: Unknown
% 0.14/0.32 % (19830)Termination phase: Preprocessing 1
% 0.14/0.32
% 0.14/0.32 % (19830)Memory used [KB]: 895
% 0.14/0.32 % (19830)Time elapsed: 0.002 s
% 0.14/0.32 % (19830)Instructions burned: 2 (million)
% 0.14/0.32 % (19830)------------------------------
% 0.14/0.32 % (19830)------------------------------
% 0.14/0.32 % (19834)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 (3000ds/3Mi)
% 0.14/0.32 % (19831)Instruction limit reached!
% 0.14/0.32 % (19831)------------------------------
% 0.14/0.32 % (19831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (19831)Termination reason: Unknown
% 0.14/0.32 % (19831)Termination phase: Property scanning
% 0.14/0.32
% 0.14/0.32 % (19831)Memory used [KB]: 1023
% 0.14/0.32 % (19831)Time elapsed: 0.003 s
% 0.14/0.32 % (19831)Instructions burned: 3 (million)
% 0.14/0.32 % (19831)------------------------------
% 0.14/0.32 % (19831)------------------------------
% 0.14/0.32 % (19828)Instruction limit reached!
% 0.14/0.32 % (19828)------------------------------
% 0.14/0.32 % (19828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (19828)Termination reason: Unknown
% 0.14/0.32 % (19828)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (19828)Memory used [KB]: 5500
% 0.14/0.32 % (19828)Time elapsed: 0.004 s
% 0.14/0.32 % (19828)Instructions burned: 5 (million)
% 0.14/0.32 % (19828)------------------------------
% 0.14/0.32 % (19828)------------------------------
% 0.14/0.32 % (19834)Instruction limit reached!
% 0.14/0.32 % (19834)------------------------------
% 0.14/0.32 % (19834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (19834)Termination reason: Unknown
% 0.14/0.32 % (19834)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (19834)Memory used [KB]: 5500
% 0.14/0.32 % (19834)Time elapsed: 0.003 s
% 0.14/0.32 % (19834)Instructions burned: 4 (million)
% 0.14/0.32 % (19834)------------------------------
% 0.14/0.32 % (19834)------------------------------
% 0.14/0.33 % (19833)Instruction limit reached!
% 0.14/0.33 % (19833)------------------------------
% 0.14/0.33 % (19833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (19833)Termination reason: Unknown
% 0.14/0.33 % (19833)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (19833)Memory used [KB]: 5628
% 0.14/0.33 % (19833)Time elapsed: 0.011 s
% 0.14/0.33 % (19833)Instructions burned: 18 (million)
% 0.14/0.33 % (19833)------------------------------
% 0.14/0.33 % (19833)------------------------------
% 0.14/0.33 % (19835)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)
% 0.14/0.33 % (19829)Instruction limit reached!
% 0.14/0.33 % (19829)------------------------------
% 0.14/0.33 % (19829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (19829)Termination reason: Unknown
% 0.14/0.33 % (19829)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (19829)Memory used [KB]: 5756
% 0.14/0.33 % (19829)Time elapsed: 0.016 s
% 0.14/0.33 % (19829)Instructions burned: 27 (million)
% 0.14/0.33 % (19829)------------------------------
% 0.14/0.33 % (19829)------------------------------
% 0.14/0.33 % (19836)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)
% 0.14/0.33 % (19837)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)
% 0.14/0.33 % (19838)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)
% 0.14/0.33 % (19837)Instruction limit reached!
% 0.14/0.33 % (19837)------------------------------
% 0.14/0.33 % (19837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (19837)Termination reason: Unknown
% 0.14/0.33 % (19837)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (19837)Memory used [KB]: 5500
% 0.14/0.33 % (19837)Time elapsed: 0.003 s
% 0.14/0.33 % (19837)Instructions burned: 4 (million)
% 0.14/0.33 % (19837)------------------------------
% 0.14/0.33 % (19837)------------------------------
% 0.14/0.34 % (19839)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)
% 0.14/0.34 % (19836)Instruction limit reached!
% 0.14/0.34 % (19836)------------------------------
% 0.14/0.34 % (19836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (19836)Termination reason: Unknown
% 0.14/0.34 % (19836)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (19836)Memory used [KB]: 5756
% 0.14/0.34 % (19836)Time elapsed: 0.032 s
% 0.14/0.34 % (19836)Instructions burned: 16 (million)
% 0.14/0.34 % (19836)------------------------------
% 0.14/0.34 % (19836)------------------------------
% 0.14/0.34 % (19839)Instruction limit reached!
% 0.14/0.34 % (19839)------------------------------
% 0.14/0.34 % (19839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (19839)Termination reason: Unknown
% 0.14/0.34 % (19839)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (19839)Memory used [KB]: 1023
% 0.14/0.34 % (19839)Time elapsed: 0.005 s
% 0.14/0.34 % (19839)Instructions burned: 7 (million)
% 0.14/0.34 % (19839)------------------------------
% 0.14/0.34 % (19839)------------------------------
% 0.14/0.35 % (19840)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)
% 0.14/0.35 % (19841)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)
% 0.14/0.35 % (19835)Instruction limit reached!
% 0.14/0.35 % (19835)------------------------------
% 0.14/0.35 % (19835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (19835)Termination reason: Unknown
% 0.14/0.35 % (19835)Termination phase: Saturation
% 0.14/0.35
% 0.14/0.35 % (19835)Memory used [KB]: 5628
% 0.14/0.35 % (19835)Time elapsed: 0.019 s
% 0.14/0.35 % (19835)Instructions burned: 37 (million)
% 0.14/0.35 % (19835)------------------------------
% 0.14/0.35 % (19835)------------------------------
% 0.14/0.35 % (19841)Instruction limit reached!
% 0.14/0.35 % (19841)------------------------------
% 0.14/0.35 % (19841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (19841)Termination reason: Unknown
% 0.14/0.35 % (19841)Termination phase: Twee Goal Transformation
% 0.14/0.35
% 0.14/0.35 % (19841)Memory used [KB]: 1023
% 0.14/0.35 % (19841)Time elapsed: 0.003 s
% 0.14/0.35 % (19841)Instructions burned: 4 (million)
% 0.14/0.35 % (19841)------------------------------
% 0.14/0.35 % (19841)------------------------------
% 0.14/0.35 % (19840)Instruction limit reached!
% 0.14/0.35 % (19840)------------------------------
% 0.14/0.35 % (19840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (19840)Termination reason: Unknown
% 0.14/0.35 % (19840)Termination phase: Saturation
% 0.14/0.35
% 0.14/0.35 % (19840)Memory used [KB]: 5628
% 0.14/0.35 % (19840)Time elapsed: 0.009 s
% 0.14/0.35 % (19840)Instructions burned: 16 (million)
% 0.14/0.35 % (19840)------------------------------
% 0.14/0.35 % (19840)------------------------------
% 0.14/0.35 % (19842)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)
% 0.14/0.36 % (19842)Instruction limit reached!
% 0.14/0.36 % (19842)------------------------------
% 0.14/0.36 % (19842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (19842)Termination reason: Unknown
% 0.14/0.36 % (19842)Termination phase: Property scanning
% 0.14/0.36
% 0.14/0.36 % (19842)Memory used [KB]: 1023
% 0.14/0.36 % (19842)Time elapsed: 0.003 s
% 0.14/0.36 % (19842)Instructions burned: 4 (million)
% 0.14/0.36 % (19842)------------------------------
% 0.14/0.36 % (19842)------------------------------
% 0.14/0.36 % (19843)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)
% 0.14/0.36 % (19843)Instruction limit reached!
% 0.14/0.36 % (19843)------------------------------
% 0.14/0.36 % (19843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (19843)Termination reason: Unknown
% 0.14/0.36 % (19843)Termination phase: Saturation
% 0.14/0.36
% 0.14/0.36 % (19843)Memory used [KB]: 5500
% 0.14/0.36 % (19843)Time elapsed: 0.005 s
% 0.14/0.36 % (19843)Instructions burned: 7 (million)
% 0.14/0.36 % (19843)------------------------------
% 0.14/0.36 % (19843)------------------------------
% 0.14/0.36 % (19844)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)
% 0.14/0.36 % (19845)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)
% 0.14/0.36 % (19844)Instruction limit reached!
% 0.14/0.36 % (19844)------------------------------
% 0.14/0.36 % (19844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (19844)Termination reason: Unknown
% 0.14/0.36 % (19844)Termination phase: Saturation
% 0.14/0.36
% 0.14/0.36 % (19844)Memory used [KB]: 5500
% 0.14/0.36 % (19844)Time elapsed: 0.003 s
% 0.14/0.36 % (19844)Instructions burned: 4 (million)
% 0.14/0.36 % (19844)------------------------------
% 0.14/0.36 % (19844)------------------------------
% 0.14/0.36 % (19845)Instruction limit reached!
% 0.14/0.36 % (19845)------------------------------
% 0.14/0.36 % (19845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (19845)Termination reason: Unknown
% 0.14/0.36 % (19845)Termination phase: Saturation
% 0.14/0.36
% 0.14/0.36 % (19845)Memory used [KB]: 5500
% 0.14/0.36 % (19845)Time elapsed: 0.003 s
% 0.14/0.36 % (19845)Instructions burned: 4 (million)
% 0.14/0.36 % (19845)------------------------------
% 0.14/0.36 % (19845)------------------------------
% 0.14/0.37 % (19846)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)
% 0.14/0.37 % (19847)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)
% 0.14/0.37 % (19848)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.14/0.38 % (19846)Instruction limit reached!
% 0.14/0.38 % (19846)------------------------------
% 0.14/0.38 % (19846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19846)Termination reason: Unknown
% 0.14/0.38 % (19846)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19846)Memory used [KB]: 5628
% 0.14/0.38 % (19846)Time elapsed: 0.011 s
% 0.14/0.38 % (19846)Instructions burned: 19 (million)
% 0.14/0.38 % (19846)------------------------------
% 0.14/0.38 % (19846)------------------------------
% 0.14/0.38 % (19849)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)
% 0.14/0.38 % (19850)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)
% 0.14/0.38 % (19848)Instruction limit reached!
% 0.14/0.38 % (19848)------------------------------
% 0.14/0.38 % (19848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19848)Termination reason: Unknown
% 0.14/0.38 % (19848)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19848)Memory used [KB]: 5500
% 0.14/0.38 % (19848)Time elapsed: 0.005 s
% 0.14/0.38 % (19848)Instructions burned: 7 (million)
% 0.14/0.38 % (19848)------------------------------
% 0.14/0.38 % (19848)------------------------------
% 0.14/0.38 % (19838)First to succeed.
% 0.14/0.39 % (19851)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.14/0.39 % (19850)Instruction limit reached!
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19850)Termination reason: Unknown
% 0.14/0.39 % (19850)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19850)Memory used [KB]: 5628
% 0.14/0.39 % (19850)Time elapsed: 0.013 s
% 0.14/0.39 % (19850)Instructions burned: 21 (million)
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19850)------------------------------
% 0.14/0.39 % (19838)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for Vampire---4
% 0.14/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.39 % (19838)------------------------------
% 0.14/0.39 % (19838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19838)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (19838)Memory used [KB]: 6012
% 0.14/0.39 % (19838)Time elapsed: 0.078 s
% 0.14/0.39 % (19838)Instructions burned: 93 (million)
% 0.14/0.39 % (19838)------------------------------
% 0.14/0.39 % (19838)------------------------------
% 0.14/0.39 % (19826)Success in time 0.084 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------