TSTP Solution File: NUN008_5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN008_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n005.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 : Wed May 1 03:36:05 EDT 2024
% Result : Theorem 0.77s 0.94s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 40
% Syntax : Number of formulae : 70 ( 38 unt; 32 typ; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 15 ( 10 >; 5 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 43 ( 27 !; 0 ?; 43 :)
% ( 16 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
bit0: int > int ).
tff(func_def_5,type,
bit1: int > int ).
tff(func_def_6,type,
pls: int ).
tff(func_def_7,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_8,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_9,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
m1: int ).
tff(func_def_13,type,
n: nat ).
tff(func_def_14,type,
r: int ).
tff(func_def_15,type,
sa: int ).
tff(func_def_16,type,
v: int ).
tff(func_def_17,type,
w: int ).
tff(func_def_18,type,
sK0: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
dvd_dvd:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(f340,plain,
$false,
inference(trivial_inequality_removal,[],[f339]) ).
tff(f339,plain,
plus_plus(int,power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,plus_plus(int,times_times(int,r,v),times_times(int,sa,w)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,plus_plus(int,times_times(int,r,v),times_times(int,sa,w)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f338,f208]) ).
tff(f208,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: int,X1: int,X2: int] : ( times_times(int,X2,plus_plus(int,X1,X0)) = plus_plus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(rectify,[],[f72]) ).
tff(f72,axiom,
! [X26: int,X27: int,X3: int] : ( times_times(int,X3,plus_plus(int,X27,X26)) = plus_plus(int,times_times(int,X3,X27),times_times(int,X3,X26)) ),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_71_int__distrib_I2_J) ).
tff(f338,plain,
plus_plus(int,power_power(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,times_times(int,r,v),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,plus_plus(int,times_times(int,r,v),times_times(int,sa,w)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))),
inference(backward_demodulation,[],[f311,f337]) ).
tff(f337,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f336,f307]) ).
tff(f307,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),one_one(int))),
inference(forward_demodulation,[],[f302,f206]) ).
tff(f206,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X6: int] : ( plus_plus(int,X6,pls) = X6 ),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_67_add__Pls__right) ).
tff(f302,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),
inference(backward_demodulation,[],[f260,f206]) ).
tff(f260,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
inference(definition_unfolding,[],[f203,f212,f200]) ).
tff(f200,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(rectify,[],[f81]) ).
tff(f81,axiom,
! [X6: int] : ( bit1(X6) = plus_plus(int,plus_plus(int,one_one(int),X6),X6) ),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_80_Bit1__def) ).
tff(f212,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X6: int] : ( bit0(X6) = plus_plus(int,X6,X6) ),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_69_Bit0__def) ).
tff(f203,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_42_nat__1__add__1) ).
tff(f336,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,w,number_number_of(nat,plus_plus(int,one_one(int),one_one(int))))),
inference(forward_demodulation,[],[f335,f206]) ).
tff(f335,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))))),
inference(forward_demodulation,[],[f286,f206]) ).
tff(f286,plain,
times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1) = plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(definition_unfolding,[],[f247,f212,f200,f212,f200]) ).
tff(f247,plain,
plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_0_m1) ).
tff(f311,plain,
plus_plus(int,power_power(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,times_times(int,r,v),times_times(int,sa,w))),plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat))))),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,plus_plus(int,times_times(int,r,v),times_times(int,sa,w)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f310,f208]) ).
tff(f310,plain,
plus_plus(int,power_power(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,times_times(int,r,v),times_times(int,sa,w))),plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat))))),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,power_power(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(int,times_times(int,r,v),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))),
inference(backward_demodulation,[],[f299,f208]) ).
tff(f299,plain,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,w,plus_plus(nat,one_one(nat),one_one(nat))))),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),plus_plus(nat,one_one(nat),one_one(nat)))),
inference(backward_demodulation,[],[f294,f260]) ).
tff(f294,plain,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) != plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,r,w),times_times(int,sa,v))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(backward_demodulation,[],[f250,f190]) ).
tff(f190,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X2,minus_minus(int,X1,X0)) = minus_minus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int,X1: int,X2: int] : ( times_times(int,X2,minus_minus(int,X1,X0)) = minus_minus(int,times_times(int,X2,X1),times_times(int,X2,X0)) ),
inference(rectify,[],[f75]) ).
tff(f75,axiom,
! [X26: int,X27: int,X3: int] : ( times_times(int,X3,minus_minus(int,X27,X26)) = minus_minus(int,times_times(int,X3,X27),times_times(int,X3,X26)) ),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',fact_74_int__distrib_I4_J) ).
tff(f250,plain,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) != plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(definition_unfolding,[],[f189,f212,f200,f212,f200,f212,f200,f212,f200,f212,f200,f212,f200]) ).
tff(f189,plain,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))),
inference(flattening,[],[f115]) ).
tff(f115,negated_conjecture,
( ~ plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))) ),
inference(negated_conjecture,[],[f114]) ).
tff(f114,conjecture,
plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),plus_plus(int,power_power(int,v,number_number_of(nat,bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,power_power(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,v)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,w))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),m1)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,minus_minus(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,r,w)),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),times_times(int,sa,v))),number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUN008_5 : TPTP v8.1.2. Released v6.0.0.
% 0.13/0.15 % 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
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:38:11 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TF1_THM_EQU_NAR problem
% 0.15/0.36 Running 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 300 /export/starexec/sandbox/tmp/tmp.MMi2REcDWR/Vampire---4.8_32144
% 0.72/0.93 % (32476)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.93 % (32477)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.93 % (32474)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.72/0.93 % (32479)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.93 % (32475)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.72/0.93 % (32478)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.72/0.93 % (32480)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.72/0.93 % (32481)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.72/0.93 % (32480)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.72/0.93 % (32480)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.77/0.93 % (32478)Refutation not found, incomplete strategy% (32478)------------------------------
% 0.77/0.93 % (32478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (32478)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (32478)Memory used [KB]: 1250
% 0.77/0.93 % (32478)Time elapsed: 0.008 s
% 0.77/0.93 % (32478)Instructions burned: 13 (million)
% 0.77/0.93 % (32478)------------------------------
% 0.77/0.93 % (32478)------------------------------
% 0.77/0.93 % (32481)Refutation not found, incomplete strategy% (32481)------------------------------
% 0.77/0.93 % (32481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (32481)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (32481)Memory used [KB]: 1176
% 0.77/0.93 % (32481)Time elapsed: 0.008 s
% 0.77/0.93 % (32481)Instructions burned: 14 (million)
% 0.77/0.93 % (32481)------------------------------
% 0.77/0.93 % (32481)------------------------------
% 0.77/0.93 % (32479)Refutation not found, incomplete strategy% (32479)------------------------------
% 0.77/0.93 % (32479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (32479)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (32479)Memory used [KB]: 1231
% 0.77/0.93 % (32479)Time elapsed: 0.008 s
% 0.77/0.93 % (32479)Instructions burned: 15 (million)
% 0.77/0.93 % (32479)------------------------------
% 0.77/0.93 % (32479)------------------------------
% 0.77/0.93 % (32477)First to succeed.
% 0.77/0.93 % (32474)Refutation not found, incomplete strategy% (32474)------------------------------
% 0.77/0.93 % (32474)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (32474)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (32474)Memory used [KB]: 1204
% 0.77/0.93 % (32474)Time elapsed: 0.010 s
% 0.77/0.93 % (32474)Instructions burned: 18 (million)
% 0.77/0.93 % (32474)------------------------------
% 0.77/0.93 % (32474)------------------------------
% 0.77/0.94 % (32476)Also succeeded, but the first one will report.
% 0.77/0.94 % (32482)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.77/0.94 % (32483)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.77/0.94 % (32477)Refutation found. Thanks to Tanya!
% 0.77/0.94 % SZS status Theorem for Vampire---4
% 0.77/0.94 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.94 % (32477)------------------------------
% 0.77/0.94 % (32477)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.94 % (32477)Termination reason: Refutation
% 0.77/0.94
% 0.77/0.94 % (32477)Memory used [KB]: 1207
% 0.77/0.94 % (32477)Time elapsed: 0.011 s
% 0.77/0.94 % (32477)Instructions burned: 21 (million)
% 0.77/0.94 % (32477)------------------------------
% 0.77/0.94 % (32477)------------------------------
% 0.77/0.94 % (32395)Success in time 0.564 s
% 0.77/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------