TSTP Solution File: ITP012^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP012^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:30:45 EDT 2024
% Result : Theorem 1.30s 0.52s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 36
% Syntax : Number of formulae : 152 ( 74 unt; 24 typ; 0 def)
% Number of atoms : 882 ( 198 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 2147 ( 43 ~; 73 |; 8 &;1933 @)
% ( 13 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 28 usr; 17 con; 0-2 aty)
% ( 55 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 195 ( 71 ^ 124 !; 0 ?; 195 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
del: $tType ).
thf(type_def_7,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(func_def_0,type,
del: $tType ).
thf(func_def_1,type,
bool: del ).
thf(func_def_2,type,
ind: del ).
thf(func_def_3,type,
arr: del > del > del ).
thf(func_def_4,type,
mem: $i > del > $o ).
thf(func_def_5,type,
ap: $i > $i > $i ).
thf(func_def_6,type,
lam: del > ( $i > $i ) > $i ).
thf(func_def_7,type,
p: $i > $o ).
thf(func_def_8,type,
inj__o: $o > $i ).
thf(func_def_11,type,
c_2Ebool_2E_3F: del > $i ).
thf(func_def_12,type,
ty_2Einteger_2Eint: del ).
thf(func_def_13,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(func_def_14,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(func_def_15,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(func_def_17,type,
fo__c_2Einteger_2Eint__sub: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_19,type,
fo__c_2Einteger_2Eint__add: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_21,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_28,type,
c_2Emin_2E_3D: del > $i ).
thf(func_def_29,type,
c_2Ebool_2E_21: del > $i ).
thf(func_def_47,type,
sK1: tp__ty_2Einteger_2Eint ).
thf(func_def_48,type,
sK2: tp__ty_2Einteger_2Eint ).
thf(func_def_49,type,
sK3: tp__ty_2Einteger_2Eint ).
thf(f1680,plain,
$false,
inference(avatar_sat_refutation,[],[f590,f599,f1648,f1652,f1678]) ).
thf(f1678,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
thf(f1677,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1675]) ).
thf(f1675,plain,
( ( $true = $false )
| spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f578,f1672]) ).
thf(f1672,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1671]) ).
thf(f1671,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| ( $true = $false )
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1420,f1668]) ).
thf(f1668,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1667]) ).
thf(f1667,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ( $true = $false )
| spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1666,f598]) ).
thf(f598,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f596]) ).
thf(f596,plain,
( spl0_4
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f1666,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f1665]) ).
thf(f1665,plain,
( ( $false != $false )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| spl0_3 ),
inference(superposition,[],[f1653,f1437]) ).
thf(f1437,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X0 @ X1 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
= $true ) ),
inference(superposition,[],[f1422,f1414]) ).
thf(f1414,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( fo__c_2Einteger_2Eint__sub @ X0 @ X1 )
= ( fo__c_2Einteger_2Eint__add @ X0 @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ),
inference(superposition,[],[f1413,f411]) ).
thf(f411,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f410]) ).
thf(f410,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= X1 ) ),
inference(beta_eta_normalization,[],[f409]) ).
thf(f409,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f197]) ).
thf(f197,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 ) )
= $true ),
inference(cnf_transformation,[],[f162]) ).
thf(f162,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 ) )
= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f12,axiom,
! [X0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_ty_2Einteger_2Eint) ).
thf(f1413,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 )
= ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X2 @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) ) ),
inference(forward_demodulation,[],[f1412,f286]) ).
thf(f286,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f285]) ).
thf(f285,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f284]) ).
thf(f284,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f283]) ).
thf(f283,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f282]) ).
thf(f282,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f204]) ).
thf(f204,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f180]) ).
thf(f180,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f179]) ).
thf(f179,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X0 ) ) ),
inference(rectify,[],[f18]) ).
thf(f18,axiom,
! [X8: tp__ty_2Einteger_2Eint,X7: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X7 @ X8 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X7 ) ) @ ( inj__ty_2Einteger_2Eint @ X8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__add) ).
thf(f1412,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) )
= ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) ),
inference(forward_demodulation,[],[f1411,f411]) ).
thf(f1411,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) ) ),
inference(forward_demodulation,[],[f1410,f698]) ).
thf(f698,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f697]) ).
thf(f697,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f696]) ).
thf(f696,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f198]) ).
thf(f198,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f176]) ).
thf(f176,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f175]) ).
thf(f175,plain,
! [X0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ),
inference(rectify,[],[f20]) ).
thf(f20,axiom,
! [X7: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X7 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
thf(f1410,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(forward_demodulation,[],[f356,f291]) ).
thf(f291,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f290]) ).
thf(f290,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f289]) ).
thf(f289,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f288]) ).
thf(f288,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f287]) ).
thf(f287,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f184]) ).
thf(f184,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f71,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f70]) ).
thf(f70,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ),
inference(rectify,[],[f16]) ).
thf(f16,axiom,
! [X7: tp__ty_2Einteger_2Eint,X8: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X7 @ X8 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X7 ) ) @ ( inj__ty_2Einteger_2Eint @ X8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
thf(f356,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ),
inference(equality_proxy_clausification,[],[f355]) ).
thf(f355,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f354]) ).
thf(f354,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f353]) ).
thf(f353,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f352]) ).
thf(f352,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f214]) ).
thf(f214,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f85]) ).
thf(f85,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f84]) ).
thf(f84,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ),
inference(rectify,[],[f48]) ).
thf(f48,axiom,
! [X23: tp__ty_2Einteger_2Eint,X24: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X23 ) ) @ ( inj__ty_2Einteger_2Eint @ X24 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X23 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X24 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
thf(f1422,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X3 @ X2 ) ) ) ) )
| ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) ) ) ),
inference(forward_demodulation,[],[f365,f286]) ).
thf(f365,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X3 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= $false )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) ) )
| ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f364]) ).
thf(f364,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X3 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
| ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f363]) ).
thf(f363,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
| ( $true
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X3 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f362]) ).
thf(f362,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X3 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f361]) ).
thf(f361,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f360]) ).
thf(f360,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f359]) ).
thf(f359,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f358]) ).
thf(f358,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f357]) ).
thf(f357,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f208]) ).
thf(f208,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f155,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f154]) ).
thf(f154,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) ) ),
inference(rectify,[],[f49]) ).
thf(f49,axiom,
! [X27: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X25: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X27 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X27 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(f1653,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK1 @ sK2 ) ) ) )
!= $false )
| spl0_3 ),
inference(forward_demodulation,[],[f593,f291]) ).
thf(f593,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
!= $false )
| spl0_3 ),
inference(avatar_component_clause,[],[f592]) ).
thf(f592,plain,
( spl0_3
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f1420,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) ) )
| ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(forward_demodulation,[],[f377,f698]) ).
thf(f377,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f376]) ).
thf(f376,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ),
inference(binary_proxy_clausification,[],[f374]) ).
thf(f374,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f372]) ).
thf(f372,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f371]) ).
thf(f371,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f370]) ).
thf(f370,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f369]) ).
thf(f369,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f194]) ).
thf(f194,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f120]) ).
thf(f120,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f119]) ).
thf(f119,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f50,axiom,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X25 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(f578,plain,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f576]) ).
thf(f576,plain,
( $false
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f575]) ).
thf(f575,plain,
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f574]) ).
thf(f574,plain,
( $false
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f573]) ).
thf(f573,plain,
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f572]) ).
thf(f572,plain,
( $false
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f571]) ).
thf(f571,plain,
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[],[f570]) ).
thf(f570,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f211]) ).
thf(f211,plain,
( $true
= ( ~ ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f139]) ).
thf(f139,plain,
( $true
= ( ~ ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f138]) ).
thf(f138,plain,
~ ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(rectify,[],[f62]) ).
thf(f62,negated_conjecture,
~ ! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X27 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X27 ) ) ) ) ),
inference(negated_conjecture,[],[f61]) ).
thf(f61,conjecture,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X27 ) ) @ ( inj__ty_2Einteger_2Eint @ X26 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X25 ) ) @ ( inj__ty_2Einteger_2Eint @ X27 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(f1652,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
thf(f1651,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1650]) ).
thf(f1650,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1649,f1417]) ).
thf(f1417,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK1 @ sK2 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f594,f291]) ).
thf(f594,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f592]) ).
thf(f1649,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK1 @ sK2 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f585,f291]) ).
thf(f585,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f583]) ).
thf(f583,plain,
( spl0_1
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f1648,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1647]) ).
thf(f1647,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1644]) ).
thf(f1644,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f578,f1642]) ).
thf(f1642,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1639]) ).
thf(f1639,plain,
( ( $true = $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1635,f1420]) ).
thf(f1635,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1634]) ).
thf(f1634,plain,
( ( $true = $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1626,f589]) ).
thf(f589,plain,
( ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f587]) ).
thf(f587,plain,
( spl0_2
<=> ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f1626,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1617]) ).
thf(f1617,plain,
( ( $true = $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK2 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(superposition,[],[f1417,f1497]) ).
thf(f1497,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X0 @ X1 ) ) ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
= $false ) ),
inference(superposition,[],[f1467,f1414]) ).
thf(f1467,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X3 @ X2 ) ) ) ) )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) )
= $false )
| ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(forward_demodulation,[],[f366,f286]) ).
thf(f366,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X3 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f364]) ).
thf(f599,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f581,f596,f592]) ).
thf(f581,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f579]) ).
thf(f579,plain,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
!= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ),
inference(binary_proxy_clausification,[],[f577]) ).
thf(f577,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f576]) ).
thf(f590,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f580,f587,f583]) ).
thf(f580,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) ) )
= $true )
| ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK3 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP012^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 18:12:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % (7477)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)
% 0.14/0.38 % (7476)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (7479)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (7480)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)
% 0.14/0.38 % (7482)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (7481)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)
% 0.14/0.38 % (7479)Instruction limit reached!
% 0.14/0.38 % (7479)------------------------------
% 0.14/0.38 % (7479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7479)Termination reason: Unknown
% 0.14/0.38 % (7480)Instruction limit reached!
% 0.14/0.38 % (7480)------------------------------
% 0.14/0.38 % (7480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7480)Termination reason: Unknown
% 0.14/0.38 % (7480)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (7480)Memory used [KB]: 1023
% 0.14/0.38 % (7480)Time elapsed: 0.003 s
% 0.14/0.38 % (7480)Instructions burned: 2 (million)
% 0.14/0.38 % (7480)------------------------------
% 0.14/0.38 % (7480)------------------------------
% 0.14/0.38 % (7479)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (7479)Memory used [KB]: 1023
% 0.14/0.38 % (7479)Time elapsed: 0.003 s
% 0.14/0.38 % (7479)Instructions burned: 2 (million)
% 0.14/0.38 % (7479)------------------------------
% 0.14/0.38 % (7479)------------------------------
% 0.21/0.38 % (7483)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)
% 0.21/0.38 % (7477)Instruction limit reached!
% 0.21/0.38 % (7477)------------------------------
% 0.21/0.38 % (7477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (7477)Termination reason: Unknown
% 0.21/0.38 % (7477)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (7477)Memory used [KB]: 1023
% 0.21/0.38 % (7477)Time elapsed: 0.004 s
% 0.21/0.38 % (7477)Instructions burned: 4 (million)
% 0.21/0.38 % (7477)------------------------------
% 0.21/0.38 % (7477)------------------------------
% 0.21/0.38 % (7478)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)
% 0.21/0.39 % (7483)Instruction limit reached!
% 0.21/0.39 % (7483)------------------------------
% 0.21/0.39 % (7483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (7483)Termination reason: Unknown
% 0.21/0.39 % (7483)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (7483)Memory used [KB]: 1023
% 0.21/0.39 % (7483)Time elapsed: 0.004 s
% 0.21/0.39 % (7483)Instructions burned: 3 (million)
% 0.21/0.39 % (7483)------------------------------
% 0.21/0.39 % (7483)------------------------------
% 0.21/0.39 % (7482)Instruction limit reached!
% 0.21/0.39 % (7482)------------------------------
% 0.21/0.39 % (7482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (7482)Termination reason: Unknown
% 0.21/0.39 % (7482)Termination phase: Property scanning
% 0.21/0.39
% 0.21/0.39 % (7482)Memory used [KB]: 1407
% 0.21/0.39 % (7482)Time elapsed: 0.012 s
% 0.21/0.39 % (7482)Instructions burned: 18 (million)
% 0.21/0.39 % (7482)------------------------------
% 0.21/0.39 % (7482)------------------------------
% 0.21/0.40 % (7478)Instruction limit reached!
% 0.21/0.40 % (7478)------------------------------
% 0.21/0.40 % (7478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (7478)Termination reason: Unknown
% 0.21/0.40 % (7478)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (7478)Memory used [KB]: 1279
% 0.21/0.40 % (7478)Time elapsed: 0.015 s
% 0.21/0.40 % (7478)Instructions burned: 27 (million)
% 0.21/0.40 % (7478)------------------------------
% 0.21/0.40 % (7478)------------------------------
% 0.21/0.40 % (7484)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)
% 0.21/0.40 % (7485)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)
% 0.21/0.40 % (7486)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)
% 0.21/0.40 % (7481)Refutation not found, incomplete strategy
% 0.21/0.40 % (7481)------------------------------
% 0.21/0.40 % (7481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (7481)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 % (7481)Memory used [KB]: 5884
% 0.21/0.40 % (7481)Time elapsed: 0.019 s
% 0.21/0.40 % (7481)Instructions burned: 29 (million)
% 0.21/0.40 % (7481)------------------------------
% 0.21/0.40 % (7481)------------------------------
% 0.21/0.40 % (7486)Instruction limit reached!
% 0.21/0.40 % (7486)------------------------------
% 0.21/0.40 % (7486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (7486)Termination reason: Unknown
% 0.21/0.40 % (7486)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (7486)Memory used [KB]: 1023
% 0.21/0.40 % (7486)Time elapsed: 0.004 s
% 0.21/0.40 % (7486)Instructions burned: 4 (million)
% 0.21/0.40 % (7486)------------------------------
% 0.21/0.40 % (7486)------------------------------
% 0.21/0.40 % (7487)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)
% 0.21/0.41 % (7485)Instruction limit reached!
% 0.21/0.41 % (7485)------------------------------
% 0.21/0.41 % (7485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (7485)Termination reason: Unknown
% 0.21/0.41 % (7485)Termination phase: Preprocessing 3
% 0.21/0.41
% 0.21/0.41 % (7485)Memory used [KB]: 1407
% 0.21/0.41 % (7485)Time elapsed: 0.011 s
% 0.21/0.41 % (7485)Instructions burned: 16 (million)
% 0.21/0.41 % (7485)------------------------------
% 0.21/0.41 % (7485)------------------------------
% 0.21/0.41 % (7488)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (7488)Instruction limit reached!
% 0.21/0.41 % (7488)------------------------------
% 0.21/0.41 % (7488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (7488)Termination reason: Unknown
% 0.21/0.41 % (7488)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (7488)Memory used [KB]: 1151
% 0.21/0.41 % (7488)Time elapsed: 0.006 s
% 0.21/0.41 % (7488)Instructions burned: 7 (million)
% 0.21/0.41 % (7488)------------------------------
% 0.21/0.41 % (7488)------------------------------
% 0.21/0.41 % (7489)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (7490)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)
% 0.21/0.42 % (7491)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)
% 0.21/0.42 % (7484)Instruction limit reached!
% 0.21/0.42 % (7484)------------------------------
% 0.21/0.42 % (7484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (7484)Termination reason: Unknown
% 0.21/0.42 % (7484)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (7484)Memory used [KB]: 5884
% 0.21/0.42 % (7484)Time elapsed: 0.020 s
% 0.21/0.42 % (7484)Instructions burned: 37 (million)
% 0.21/0.42 % (7484)------------------------------
% 0.21/0.42 % (7484)------------------------------
% 0.21/0.42 % (7490)Instruction limit reached!
% 0.21/0.42 % (7490)------------------------------
% 0.21/0.42 % (7490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (7490)Termination reason: Unknown
% 0.21/0.42 % (7490)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (7490)Memory used [KB]: 1023
% 0.21/0.42 % (7491)Instruction limit reached!
% 0.21/0.42 % (7491)------------------------------
% 0.21/0.42 % (7491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (7491)Termination reason: Unknown
% 0.21/0.42 % (7491)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (7491)Memory used [KB]: 1023
% 0.21/0.42 % (7491)Time elapsed: 0.004 s
% 0.21/0.42 % (7491)Instructions burned: 4 (million)
% 0.21/0.42 % (7491)------------------------------
% 0.21/0.42 % (7491)------------------------------
% 0.21/0.42 % (7490)Time elapsed: 0.004 s
% 0.21/0.42 % (7490)Instructions burned: 4 (million)
% 0.21/0.42 % (7490)------------------------------
% 0.21/0.42 % (7490)------------------------------
% 0.21/0.42 % (7489)Instruction limit reached!
% 0.21/0.42 % (7489)------------------------------
% 0.21/0.42 % (7489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (7489)Termination reason: Unknown
% 0.21/0.42 % (7489)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (7489)Memory used [KB]: 1279
% 0.21/0.42 % (7489)Time elapsed: 0.010 s
% 0.21/0.42 % (7489)Instructions burned: 16 (million)
% 0.21/0.42 % (7489)------------------------------
% 0.21/0.42 % (7489)------------------------------
% 0.21/0.42 % (7492)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)
% 0.21/0.43 % (7492)Instruction limit reached!
% 0.21/0.43 % (7492)------------------------------
% 0.21/0.43 % (7492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (7492)Termination reason: Unknown
% 0.21/0.43 % (7492)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (7492)Memory used [KB]: 1151
% 0.21/0.43 % (7492)Time elapsed: 0.006 s
% 0.21/0.43 % (7492)Instructions burned: 7 (million)
% 0.21/0.43 % (7492)------------------------------
% 0.21/0.43 % (7492)------------------------------
% 0.21/0.43 % (7493)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)
% 0.21/0.43 % (7493)Instruction limit reached!
% 0.21/0.43 % (7493)------------------------------
% 0.21/0.43 % (7493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (7493)Termination reason: Unknown
% 0.21/0.43 % (7493)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (7493)Memory used [KB]: 1151
% 0.21/0.43 % (7493)Time elapsed: 0.004 s
% 0.21/0.43 % (7493)Instructions burned: 5 (million)
% 0.21/0.43 % (7493)------------------------------
% 0.21/0.43 % (7493)------------------------------
% 0.21/0.43 % (7494)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (7496)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (7495)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)
% 0.21/0.43 % (7494)Instruction limit reached!
% 0.21/0.43 % (7494)------------------------------
% 0.21/0.43 % (7494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (7494)Termination reason: Unknown
% 0.21/0.43 % (7494)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (7494)Memory used [KB]: 1023
% 0.21/0.43 % (7494)Time elapsed: 0.004 s
% 0.21/0.43 % (7494)Instructions burned: 4 (million)
% 0.21/0.43 % (7494)------------------------------
% 0.21/0.43 % (7494)------------------------------
% 0.21/0.43 % (7497)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (7497)Instruction limit reached!
% 0.21/0.44 % (7497)------------------------------
% 0.21/0.44 % (7497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (7497)Termination reason: Unknown
% 0.21/0.44 % (7497)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (7497)Memory used [KB]: 1151
% 0.21/0.44 % (7497)Time elapsed: 0.004 s
% 0.21/0.44 % (7497)Instructions burned: 7 (million)
% 0.21/0.44 % (7497)------------------------------
% 0.21/0.44 % (7497)------------------------------
% 0.21/0.44 % (7498)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.44 % (7495)Instruction limit reached!
% 0.21/0.44 % (7495)------------------------------
% 0.21/0.44 % (7495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (7495)Termination reason: Unknown
% 0.21/0.44 % (7495)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (7495)Memory used [KB]: 1279
% 0.21/0.44 % (7495)Time elapsed: 0.012 s
% 0.21/0.44 % (7495)Instructions burned: 18 (million)
% 0.21/0.44 % (7495)------------------------------
% 0.21/0.44 % (7495)------------------------------
% 0.21/0.44 % (7499)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.45 % (7501)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (7501)Instruction limit reached!
% 0.21/0.45 % (7501)------------------------------
% 0.21/0.45 % (7501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (7501)Termination reason: Unknown
% 0.21/0.45 % (7501)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (7501)Memory used [KB]: 1151
% 0.21/0.45 % (7501)Time elapsed: 0.003 s
% 0.21/0.45 % (7501)Instructions burned: 7 (million)
% 0.21/0.45 % (7501)------------------------------
% 0.21/0.45 % (7501)------------------------------
% 0.21/0.45 % (7500)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (7500)Instruction limit reached!
% 0.21/0.45 % (7500)------------------------------
% 0.21/0.45 % (7500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (7500)Termination reason: Unknown
% 0.21/0.45 % (7500)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (7500)Memory used [KB]: 1151
% 0.21/0.45 % (7500)Time elapsed: 0.004 s
% 0.21/0.45 % (7500)Instructions burned: 5 (million)
% 0.21/0.45 % (7500)------------------------------
% 0.21/0.45 % (7500)------------------------------
% 0.21/0.46 % (7503)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.46 % (7502)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.46 % (7499)Instruction limit reached!
% 0.21/0.46 % (7499)------------------------------
% 0.21/0.46 % (7499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (7499)Termination reason: Unknown
% 0.21/0.46 % (7499)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (7499)Memory used [KB]: 1279
% 0.21/0.46 % (7499)Time elapsed: 0.016 s
% 0.21/0.46 % (7499)Instructions burned: 21 (million)
% 0.21/0.46 % (7499)------------------------------
% 0.21/0.46 % (7499)------------------------------
% 0.21/0.46 % (7498)Refutation not found, incomplete strategy
% 0.21/0.46 % (7498)------------------------------
% 0.21/0.46 % (7498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (7498)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (7498)Memory used [KB]: 6012
% 0.21/0.46 % (7498)Time elapsed: 0.021 s
% 0.21/0.46 % (7498)Instructions burned: 42 (million)
% 0.21/0.46 % (7498)------------------------------
% 0.21/0.46 % (7498)------------------------------
% 0.21/0.46 % (7504)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.47 % (7506)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (7505)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (7504)Instruction limit reached!
% 0.21/0.47 % (7504)------------------------------
% 0.21/0.47 % (7504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (7504)Termination reason: Unknown
% 0.21/0.47 % (7504)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (7504)Memory used [KB]: 5756
% 0.21/0.47 % (7504)Time elapsed: 0.011 s
% 0.21/0.47 % (7504)Instructions burned: 20 (million)
% 0.21/0.47 % (7504)------------------------------
% 0.21/0.47 % (7504)------------------------------
% 0.21/0.47 % (7506)Instruction limit reached!
% 0.21/0.47 % (7506)------------------------------
% 0.21/0.47 % (7506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (7506)Termination reason: Unknown
% 0.21/0.47 % (7506)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.48 % (7506)Memory used [KB]: 1407
% 0.21/0.48 % (7506)Time elapsed: 0.007 s
% 0.21/0.48 % (7506)Instructions burned: 17 (million)
% 0.21/0.48 % (7506)------------------------------
% 0.21/0.48 % (7506)------------------------------
% 0.21/0.48 % (7509)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.49 % (7507)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.49 % (7507)Instruction limit reached!
% 0.21/0.49 % (7507)------------------------------
% 0.21/0.49 % (7507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (7507)Termination reason: Unknown
% 0.21/0.49 % (7507)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (7507)Memory used [KB]: 1023
% 0.21/0.49 % (7507)Time elapsed: 0.002 s
% 0.21/0.49 % (7507)Instructions burned: 3 (million)
% 0.21/0.49 % (7507)------------------------------
% 0.21/0.49 % (7507)------------------------------
% 0.21/0.49 % (7509)Instruction limit reached!
% 0.21/0.49 % (7509)------------------------------
% 0.21/0.49 % (7509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (7509)Termination reason: Unknown
% 0.21/0.49 % (7509)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (7509)Memory used [KB]: 5884
% 0.21/0.49 % (7509)Time elapsed: 0.010 s
% 0.21/0.49 % (7509)Instructions burned: 31 (million)
% 0.21/0.49 % (7509)------------------------------
% 0.21/0.49 % (7509)------------------------------
% 0.21/0.49 % (7510)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.50 % (7476)Instruction limit reached!
% 0.21/0.50 % (7476)------------------------------
% 0.21/0.50 % (7476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (7476)Termination reason: Unknown
% 0.21/0.50 % (7476)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (7476)Memory used [KB]: 6524
% 0.21/0.50 % (7476)Time elapsed: 0.115 s
% 0.21/0.50 % (7476)Instructions burned: 183 (million)
% 0.21/0.50 % (7476)------------------------------
% 0.21/0.50 % (7476)------------------------------
% 0.21/0.50 % (7511)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.51 % (7512)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51 % (7512)Instruction limit reached!
% 0.21/0.51 % (7512)------------------------------
% 0.21/0.51 % (7512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (7512)Termination reason: Unknown
% 0.21/0.51 % (7512)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (7512)Memory used [KB]: 1023
% 0.21/0.51 % (7512)Time elapsed: 0.002 s
% 0.21/0.51 % (7512)Instructions burned: 3 (million)
% 0.21/0.51 % (7512)------------------------------
% 0.21/0.51 % (7512)------------------------------
% 0.21/0.51 % (7513)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.52 % (7503)First to succeed.
% 1.30/0.52 % (7503)Refutation found. Thanks to Tanya!
% 1.30/0.52 % SZS status Theorem for theBenchmark
% 1.30/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52 % (7503)------------------------------
% 1.30/0.52 % (7503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.30/0.52 % (7503)Termination reason: Refutation
% 1.30/0.52
% 1.30/0.52 % (7503)Memory used [KB]: 6268
% 1.30/0.52 % (7503)Time elapsed: 0.064 s
% 1.30/0.52 % (7503)Instructions burned: 191 (million)
% 1.30/0.52 % (7503)------------------------------
% 1.30/0.52 % (7503)------------------------------
% 1.30/0.52 % (7475)Success in time 0.15 s
% 1.30/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------