TSTP Solution File: SEV063^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV063^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:11:52 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 24
% Syntax : Number of formulae : 117 ( 44 unt; 19 typ; 0 def)
% Number of atoms : 797 ( 88 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 2581 ( 54 ~; 49 |; 165 &;1708 @)
% ( 4 <=>; 234 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 228 ( 228 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 21 con; 0-2 aty)
% ( 367 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 480 ( 387 ^ 92 !; 0 ?; 480 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK2: a ).
thf(func_def_17,type,
sK3: a ).
thf(func_def_18,type,
sK4: a > a > $o ).
thf(func_def_19,type,
sK5: a ).
thf(func_def_20,type,
sK6: a > a > $o ).
thf(func_def_21,type,
sK7: a ).
thf(func_def_22,type,
sK8: a ).
thf(func_def_23,type,
sK9: a ).
thf(func_def_24,type,
sK10: a ).
thf(func_def_25,type,
sK11: a ).
thf(func_def_26,type,
sK12: a ).
thf(func_def_27,type,
sK13: a ).
thf(func_def_28,type,
sK14: a ).
thf(func_def_29,type,
sK15: a ).
thf(func_def_30,type,
sK16: a ).
thf(func_def_31,type,
sK17: a ).
thf(f331,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f189,f274,f291,f326]) ).
thf(f326,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f325]) ).
thf(f325,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f322]) ).
thf(f322,plain,
( ( $false = $true )
| ~ spl0_1 ),
inference(superposition,[],[f63,f316]) ).
thf(f316,plain,
( ( ( ( ( sK6 @ sK15 @ sK17 )
& ( sK6 @ sK17 @ sK16 ) )
=> ( sK6 @ sK15 @ sK16 ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f315]) ).
thf(f315,plain,
( ( ( ^ [Y0: a] :
( ( ( sK6 @ sK15 @ Y0 )
& ( sK6 @ Y0 @ sK16 ) )
=> ( sK6 @ sK15 @ sK16 ) )
@ sK17 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f310]) ).
thf(f310,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ sK15 @ Y0 )
& ( sK6 @ Y0 @ sK16 ) )
=> ( sK6 @ sK15 @ sK16 ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f309]) ).
thf(f309,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ sK15 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ sK15 @ Y0 ) ) )
@ sK16 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f306]) ).
thf(f306,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ sK15 @ Y1 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ sK15 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f302]) ).
thf(f302,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
@ sK15 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f76]) ).
thf(f76,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f75,plain,
( spl0_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f63,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK6 @ X3 @ X1 )
& ( sK6 @ X1 @ X2 ) )
=> ( sK6 @ X3 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f62]) ).
thf(f62,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK6 @ Y0 @ X1 )
& ( sK6 @ X1 @ X2 ) )
=> ( sK6 @ Y0 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f61]) ).
thf(f61,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ Y0 @ X1 )
& ( sK6 @ X1 @ X2 ) )
=> ( sK6 @ Y0 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f60]) ).
thf(f60,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y1 @ X1 )
& ( sK6 @ X1 @ Y0 ) )
=> ( sK6 @ Y1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f59]) ).
thf(f59,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y1 @ X1 )
& ( sK6 @ X1 @ Y0 ) )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y0 )
& ( sK6 @ Y0 @ Y1 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f30]) ).
thf(f30,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y0 )
& ( sK6 @ Y0 @ Y1 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y0 )
& ( sK6 @ Y0 @ Y1 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y2 @ Y0 )
& ( sK6 @ Y0 @ Y1 ) )
=> ( sK6 @ Y2 @ Y1 ) ) ) ) ) )
=> ( sK6 @ sK5 @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK3 ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f18]) ).
thf(f18,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK3 ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( $false
= ( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK2 @ sK3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( $false
= ( ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK2 @ sK3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y2 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y4 @ Y3 ) ) ) ) ) )
=> ( Y1 @ Y0 @ sK3 ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( Y1 @ Y0 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK2 @ sK3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK4 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y2 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y4 @ Y3 ) ) ) ) ) )
=> ( Y1 @ Y0 @ sK3 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y3 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y5 @ Y3 ) ) ) ) ) )
=> ( Y2 @ Y1 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK2 @ sK3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y5 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y1 @ sK3 ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y3 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y5 @ Y3 ) ) ) ) ) )
=> ( Y2 @ Y1 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK2 @ sK3 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y5 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y1 @ sK3 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y4 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y6 @ Y4 ) ) ) ) ) )
=> ( Y3 @ Y2 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ sK2 @ Y0 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y4 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y6 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 @ Y0 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y4 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y6 @ Y4 ) ) ) ) ) )
=> ( Y3 @ Y2 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ sK2 @ Y0 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y4 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y6 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 @ Y0 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y5 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y1 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y5 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y1 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y5 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y5 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y7 @ Y5 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y0 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y7 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y3 @ Y1 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X7 @ X5 ) )
=> ( X4 @ X7 @ X6 ) )
& ! [X8: a,X9: a] :
( ( X1 @ X8 @ X9 )
=> ( X4 @ X8 @ X9 ) ) )
=> ( X4 @ X3 @ X2 ) )
& ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a,X13: a] :
( ( ( X10 @ X11 @ X12 )
& ( X10 @ X12 @ X13 ) )
=> ( X10 @ X11 @ X13 ) )
& ! [X14: a,X15: a] :
( ( X1 @ X15 @ X14 )
=> ( X10 @ X15 @ X14 ) ) )
=> ( X10 @ X0 @ X3 ) ) )
=> ! [X16: a > a > $o] :
( ( ! [X17: a,X18: a,X19: a] :
( ( ( X16 @ X19 @ X18 )
& ( X16 @ X17 @ X19 ) )
=> ( X16 @ X17 @ X18 ) )
& ! [X20: a,X21: a] :
( ( X1 @ X20 @ X21 )
=> ( X16 @ X20 @ X21 ) ) )
=> ( X16 @ X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a,X0: a > a > $o,X3: a,X2: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X6: a,X7: a,X5: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X6: a,X5: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X2 ) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a,X0: a > a > $o,X3: a,X2: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X6: a,X7: a,X5: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) )
& ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X6: a,X5: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X2 ) ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ! [X5: a,X6: a] :
( ( X0 @ X5 @ X6 )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM136_pme) ).
thf(f291,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f290]) ).
thf(f290,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f287,plain,
( ( $false = $true )
| ~ spl0_4 ),
inference(superposition,[],[f43,f283]) ).
thf(f283,plain,
( ( $false
= ( ( sK4 @ sK13 @ sK14 )
=> ( sK6 @ sK13 @ sK14 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f282]) ).
thf(f282,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK4 @ sK13 @ Y0 )
=> ( sK6 @ sK13 @ Y0 ) )
@ sK14 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f281]) ).
thf(f281,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK13 @ Y0 )
=> ( sK6 @ sK13 @ Y0 ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f277]) ).
thf(f277,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) )
@ sK13 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f188]) ).
thf(f188,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f187,plain,
( spl0_4
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f43,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X2 @ X1 )
=> ( sK6 @ X2 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f39]) ).
thf(f39,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 @ X1 )
=> ( sK6 @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f33]) ).
thf(f33,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f32]) ).
thf(f32,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( sK6 @ Y1 @ Y0 ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f27,f30]) ).
thf(f274,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f273]) ).
thf(f273,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f272,plain,
( ( $false = $true )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f265,f201]) ).
thf(f201,plain,
( ( $false
= ( sK6 @ sK9 @ sK7 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f200]) ).
thf(f200,plain,
( ( ( ( ( sK6 @ sK8 @ sK7 )
& ( sK6 @ sK9 @ sK8 ) )
=> ( sK6 @ sK9 @ sK7 ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f199]) ).
thf(f199,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK6 @ sK8 @ sK7 )
& ( sK6 @ Y0 @ sK8 ) )
=> ( sK6 @ Y0 @ sK7 ) )
@ sK9 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f198]) ).
thf(f198,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ sK8 @ sK7 )
& ( sK6 @ Y0 @ sK8 ) )
=> ( sK6 @ Y0 @ sK7 ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f197]) ).
thf(f197,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 @ sK7 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y1 @ sK7 ) ) )
@ sK8 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f196]) ).
thf(f196,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 @ sK7 )
& ( sK6 @ Y1 @ Y0 ) )
=> ( sK6 @ Y1 @ sK7 ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f192]) ).
thf(f192,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) )
@ sK7 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f185]) ).
thf(f185,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
thf(f184,plain,
( spl0_3
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f265,plain,
( ( ( sK6 @ sK9 @ sK7 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f264]) ).
thf(f264,plain,
( ( ( $true
=> ( sK6 @ sK9 @ sK7 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f225,f218]) ).
thf(f218,plain,
( ( ( sK6 @ sK8 @ sK7 )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f202]) ).
thf(f202,plain,
( ( ( ( sK6 @ sK8 @ sK7 )
& ( sK6 @ sK9 @ sK8 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f200]) ).
thf(f225,plain,
( ! [X0: a] :
( ( ( sK6 @ sK8 @ X0 )
=> ( sK6 @ sK9 @ X0 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f221]) ).
thf(f221,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK6 @ sK8 @ X0 ) )
=> ( sK6 @ sK9 @ X0 ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f63,f220]) ).
thf(f220,plain,
( ( ( sK6 @ sK9 @ sK8 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f219]) ).
thf(f219,plain,
( ( ( $true
& ( sK6 @ sK9 @ sK8 ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f202,f218]) ).
thf(f189,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f180,f78,f187,f184]) ).
thf(f78,plain,
( spl0_2
<=> ( ( sK6 @ sK2 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f180,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
= $false )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f174]) ).
thf(f174,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f113]) ).
thf(f113,plain,
( ( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f109]) ).
thf(f109,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( sK6 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y1 @ Y0 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y2 @ Y0 ) ) ) ) ) )
=> $false )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f51,f98]) ).
thf(f98,plain,
( ( $false
= ( sK6 @ sK5 @ sK2 ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f97]) ).
thf(f97,plain,
( ( $true
= ( ~ ( sK6 @ sK5 @ sK2 ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f94]) ).
thf(f94,plain,
( ( ( ( sK6 @ sK5 @ sK2 )
=> $false )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f90,f29]) ).
thf(f29,plain,
( $false
= ( sK6 @ sK5 @ sK3 ) ),
inference(boolean_simplification,[],[f28]) ).
thf(f28,plain,
( $false
= ( $true
=> ( sK6 @ sK5 @ sK3 ) ) ),
inference(backward_demodulation,[],[f25,f27]) ).
thf(f90,plain,
( ! [X0: a] :
( ( ( sK6 @ X0 @ sK2 )
=> ( sK6 @ X0 @ sK3 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f84]) ).
thf(f84,plain,
( ! [X0: a] :
( ( ( ( sK6 @ X0 @ sK2 )
& $true )
=> ( sK6 @ X0 @ sK3 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[],[f63,f79]) ).
thf(f79,plain,
( ( ( sK6 @ sK2 @ sK3 )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f51,plain,
! [X1: a > a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y0 @ Y1 )
=> ( X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y1 @ Y0 )
& ( X1 @ Y2 @ Y1 ) )
=> ( X1 @ Y2 @ Y0 ) ) ) ) ) )
=> ( X1 @ sK5 @ sK2 ) ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f35]) ).
thf(f35,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( Y0 @ sK5 @ sK2 ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK2 @ sK3 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f80,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f73,f78,f75]) ).
thf(f73,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( ( sK6 @ sK2 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) )
=> ( sK6 @ sK2 @ sK3 ) )
= $true ),
inference(boolean_simplification,[],[f45]) ).
thf(f45,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK6 @ Y0 @ Y2 )
& ( sK6 @ Y2 @ Y1 ) )
=> ( sK6 @ Y0 @ Y1 ) ) ) ) ) )
=> ( sK6 @ sK2 @ sK3 ) )
= $true ),
inference(superposition,[],[f41,f33]) ).
thf(f41,plain,
! [X1: a > a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y0 @ Y2 )
& ( X1 @ Y2 @ Y1 ) )
=> ( X1 @ Y0 @ Y1 ) ) ) ) ) )
=> ( X1 @ sK2 @ sK3 ) )
= $true ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
! [X1: a > a > $o] :
( $true
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK2 @ sK3 ) )
@ X1 ) ),
inference(pi_clausification,[],[f37]) ).
thf(f37,plain,
( $true
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK2 @ sK3 ) ) ) ),
inference(boolean_simplification,[],[f36]) ).
thf(f36,plain,
( ( $true
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK2 @ sK3 ) ) ) )
= $true ),
inference(backward_demodulation,[],[f19,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV063^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % 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
% 0.17/0.34 % Computer : n011.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun May 19 19:11:07 EDT 2024
% 0.17/0.34 % CPUTime :
% 0.17/0.34 This is a TH0_THM_NEQ_NAR problem
% 0.17/0.35 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/benchmark/theBenchmark.p
% 0.17/0.36 % (5828)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)
% 0.17/0.36 % (5826)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.36 % (5827)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)
% 0.17/0.36 % (5829)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.36 % (5830)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)
% 0.17/0.36 % (5831)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)
% 0.17/0.36 % (5832)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.36 % (5829)Instruction limit reached!
% 0.17/0.36 % (5829)------------------------------
% 0.17/0.36 % (5829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (5829)Termination reason: Unknown
% 0.17/0.36 % (5829)Termination phase: Property scanning
% 0.17/0.36 % (5830)Instruction limit reached!
% 0.17/0.36 % (5830)------------------------------
% 0.17/0.36 % (5830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (5830)Termination reason: Unknown
% 0.17/0.36 % (5830)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (5830)Memory used [KB]: 1023
% 0.17/0.36 % (5830)Time elapsed: 0.003 s
% 0.17/0.36 % (5830)Instructions burned: 3 (million)
% 0.17/0.36 % (5830)------------------------------
% 0.17/0.36 % (5830)------------------------------
% 0.17/0.36
% 0.17/0.36 % (5829)Memory used [KB]: 1023
% 0.17/0.36 % (5829)Time elapsed: 0.003 s
% 0.17/0.36 % (5829)Instructions burned: 3 (million)
% 0.17/0.36 % (5829)------------------------------
% 0.17/0.36 % (5829)------------------------------
% 0.17/0.37 % (5827)Instruction limit reached!
% 0.17/0.37 % (5827)------------------------------
% 0.17/0.37 % (5827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (5827)Termination reason: Unknown
% 0.17/0.37 % (5827)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (5827)Memory used [KB]: 5500
% 0.17/0.37 % (5827)Time elapsed: 0.004 s
% 0.17/0.37 % (5827)Instructions burned: 4 (million)
% 0.17/0.37 % (5827)------------------------------
% 0.17/0.37 % (5827)------------------------------
% 0.17/0.37 % (5833)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)
% 0.17/0.37 % (5833)Instruction limit reached!
% 0.17/0.37 % (5833)------------------------------
% 0.17/0.37 % (5833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (5833)Termination reason: Unknown
% 0.17/0.37 % (5833)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (5833)Memory used [KB]: 1023
% 0.17/0.37 % (5833)Time elapsed: 0.003 s
% 0.17/0.37 % (5833)Instructions burned: 3 (million)
% 0.17/0.37 % (5833)------------------------------
% 0.17/0.37 % (5833)------------------------------
% 0.17/0.37 % (5832)Instruction limit reached!
% 0.17/0.37 % (5832)------------------------------
% 0.17/0.37 % (5832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (5832)Termination reason: Unknown
% 0.17/0.37 % (5832)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (5832)Memory used [KB]: 5628
% 0.17/0.37 % (5832)Time elapsed: 0.011 s
% 0.17/0.37 % (5832)Instructions burned: 19 (million)
% 0.17/0.37 % (5832)------------------------------
% 0.17/0.37 % (5832)------------------------------
% 0.17/0.38 % (5834)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)
% 0.17/0.38 % (5828)Instruction limit reached!
% 0.17/0.38 % (5828)------------------------------
% 0.17/0.38 % (5828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (5828)Termination reason: Unknown
% 0.17/0.38 % (5828)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (5828)Memory used [KB]: 5756
% 0.17/0.38 % (5828)Time elapsed: 0.016 s
% 0.17/0.38 % (5828)Instructions burned: 27 (million)
% 0.17/0.38 % (5828)------------------------------
% 0.17/0.38 % (5828)------------------------------
% 0.17/0.38 % (5836)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)
% 0.17/0.38 % (5836)Instruction limit reached!
% 0.17/0.38 % (5836)------------------------------
% 0.17/0.38 % (5836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (5836)Termination reason: Unknown
% 0.17/0.38 % (5836)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (5836)Memory used [KB]: 5500
% 0.17/0.38 % (5836)Time elapsed: 0.003 s
% 0.17/0.38 % (5836)Instructions burned: 3 (million)
% 0.17/0.38 % (5836)------------------------------
% 0.17/0.38 % (5836)------------------------------
% 0.17/0.38 % (5835)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)
% 0.17/0.38 % (5837)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)
% 0.17/0.39 % (5838)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.39 % (5838)Instruction limit reached!
% 0.17/0.39 % (5838)------------------------------
% 0.17/0.39 % (5838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (5838)Termination reason: Unknown
% 0.17/0.39 % (5838)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (5838)Memory used [KB]: 1023
% 0.17/0.39 % (5838)Time elapsed: 0.006 s
% 0.17/0.39 % (5838)Instructions burned: 8 (million)
% 0.17/0.39 % (5838)------------------------------
% 0.17/0.39 % (5838)------------------------------
% 0.17/0.39 % (5835)Instruction limit reached!
% 0.17/0.39 % (5835)------------------------------
% 0.17/0.39 % (5835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (5835)Termination reason: Unknown
% 0.17/0.39 % (5835)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (5835)Memory used [KB]: 5756
% 0.17/0.39 % (5835)Time elapsed: 0.012 s
% 0.17/0.39 % (5835)Instructions burned: 15 (million)
% 0.17/0.39 % (5835)------------------------------
% 0.17/0.39 % (5835)------------------------------
% 0.17/0.39 % (5840)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)
% 0.17/0.39 % (5834)Instruction limit reached!
% 0.17/0.39 % (5834)------------------------------
% 0.17/0.39 % (5834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (5834)Termination reason: Unknown
% 0.17/0.39 % (5834)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (5834)Memory used [KB]: 5884
% 0.17/0.39 % (5834)Time elapsed: 0.018 s
% 0.17/0.39 % (5834)Instructions burned: 38 (million)
% 0.17/0.39 % (5834)------------------------------
% 0.17/0.39 % (5834)------------------------------
% 0.17/0.39 % (5839)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.39 % (5840)Instruction limit reached!
% 0.17/0.39 % (5840)------------------------------
% 0.17/0.39 % (5840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (5840)Termination reason: Unknown
% 0.17/0.39 % (5840)Termination phase: Property scanning
% 0.17/0.39
% 0.17/0.39 % (5840)Memory used [KB]: 1023
% 0.17/0.39 % (5840)Time elapsed: 0.003 s
% 0.17/0.39 % (5840)Instructions burned: 3 (million)
% 0.17/0.39 % (5840)------------------------------
% 0.17/0.39 % (5840)------------------------------
% 0.17/0.40 % (5839)Instruction limit reached!
% 0.17/0.40 % (5839)------------------------------
% 0.17/0.40 % (5839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (5839)Termination reason: Unknown
% 0.17/0.40 % (5839)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (5839)Memory used [KB]: 5628
% 0.17/0.40 % (5839)Time elapsed: 0.010 s
% 0.17/0.40 % (5839)Instructions burned: 17 (million)
% 0.17/0.40 % (5839)------------------------------
% 0.17/0.40 % (5839)------------------------------
% 0.17/0.41 % (5842)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)
% 0.17/0.41 % (5841)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)
% 0.17/0.41 % (5844)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.41 % (5841)Instruction limit reached!
% 0.17/0.41 % (5841)------------------------------
% 0.17/0.41 % (5841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (5841)Termination reason: Unknown
% 0.17/0.41 % (5841)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (5841)Memory used [KB]: 1023
% 0.17/0.41 % (5841)Time elapsed: 0.004 s
% 0.17/0.41 % (5841)Instructions burned: 3 (million)
% 0.17/0.41 % (5841)------------------------------
% 0.17/0.41 % (5841)------------------------------
% 0.17/0.41 % (5844)Instruction limit reached!
% 0.17/0.41 % (5844)------------------------------
% 0.17/0.41 % (5844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (5844)Termination reason: Unknown
% 0.17/0.41 % (5844)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (5844)Memory used [KB]: 5500
% 0.17/0.41 % (5844)Time elapsed: 0.003 s
% 0.17/0.41 % (5844)Instructions burned: 4 (million)
% 0.17/0.41 % (5844)------------------------------
% 0.17/0.41 % (5844)------------------------------
% 0.17/0.41 % (5843)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)
% 0.17/0.41 % (5842)Instruction limit reached!
% 0.17/0.41 % (5842)------------------------------
% 0.17/0.41 % (5842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (5842)Termination reason: Unknown
% 0.17/0.41 % (5842)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (5842)Memory used [KB]: 5500
% 0.17/0.41 % (5842)Time elapsed: 0.005 s
% 0.17/0.41 % (5842)Instructions burned: 7 (million)
% 0.17/0.41 % (5842)------------------------------
% 0.17/0.41 % (5842)------------------------------
% 0.17/0.41 % (5843)Instruction limit reached!
% 0.17/0.41 % (5843)------------------------------
% 0.17/0.41 % (5843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (5843)Termination reason: Unknown
% 0.17/0.41 % (5843)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (5843)Memory used [KB]: 5500
% 0.17/0.41 % (5843)Time elapsed: 0.003 s
% 0.17/0.41 % (5843)Instructions burned: 3 (million)
% 0.17/0.41 % (5843)------------------------------
% 0.17/0.41 % (5843)------------------------------
% 0.17/0.41 % (5837)First to succeed.
% 0.17/0.42 % (5845)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)
% 0.17/0.42 % (5837)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.42 % (5837)------------------------------
% 0.17/0.42 % (5837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (5837)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (5837)Memory used [KB]: 5884
% 0.17/0.42 % (5837)Time elapsed: 0.039 s
% 0.17/0.42 % (5837)Instructions burned: 65 (million)
% 0.17/0.42 % (5837)------------------------------
% 0.17/0.42 % (5837)------------------------------
% 0.17/0.42 % (5825)Success in time 0.064 s
% 0.17/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------