%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM996_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:26:21 PM UTC 2026
% Result : Theorem 11.30s 2.03s
% Output : Refutation 11.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 40
% Syntax : Number of formulae : 185 ( 154 unt; 0 typ; 18 def)
% Number of atoms : 216 ( 172 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 23 con; 0-3 aty)
% Number of variables : 189 ( 189 !; 0 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(func_def_0,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
pls: int ).
tff(func_def_6,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_8,type,
fFalse: bool ).
tff(func_def_9,type,
fTrue: bool ).
tff(func_def_10,type,
v: int ).
tff(func_def_11,type,
w: int ).
tff(func_def_12,type,
sF0: int ).
tff(func_def_13,type,
sF1: int ).
tff(func_def_14,type,
sF2: int ).
tff(func_def_15,type,
sF3: int ).
tff(func_def_16,type,
sF4: nat ).
tff(func_def_17,type,
sF5: int ).
tff(func_def_18,type,
sF6: int ).
tff(func_def_19,type,
sF7: int ).
tff(func_def_20,type,
sF8: int ).
tff(func_def_21,type,
sF9: int ).
tff(func_def_22,type,
sF10: int ).
tff(func_def_23,type,
sF11: int ).
tff(func_def_24,type,
sF12: int ).
tff(func_def_25,type,
sF13: int ).
tff(func_def_26,type,
sF14: int ).
tff(func_def_27,type,
sF15: int ).
tff(func_def_28,type,
sF16: int ).
tff(func_def_29,type,
sF17: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ordere142940540dd_abs:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(f3,axiom,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_power2__abs) ).
tff(f7,axiom,
! [X0: $tType] :
( number_semiring(X0)
=> ! [X1: X0,X2: X0] : ( power_power(X0,plus_plus(X0,X2,X1),number_number_of(nat,bit0(bit1(pls)))) = plus_plus(X0,plus_plus(X0,power_power(X0,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))),times_times(X0,times_times(X0,number_number_of(X0,bit0(bit1(pls))),X2),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_power2__sum) ).
tff(f25,axiom,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_add__Bit0__Bit0) ).
tff(f33,axiom,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_number__of__is__id) ).
tff(f37,axiom,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_Bit0__def) ).
tff(f39,axiom,
! [X0: int,X1: int,X2: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_int__distrib_I1_J) ).
tff(f40,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_int__distrib_I2_J) ).
tff(f41,axiom,
! [X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,plus_plus(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_plus__numeral__code_I9_J) ).
tff(f46,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_mult__numeral__1) ).
tff(f47,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,X1,number_number_of(X0,bit1(pls))) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_mult__numeral__1__right) ).
tff(f51,axiom,
! [X0: $tType] :
( number_semiring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit0(bit1(pls))),X1) = plus_plus(X0,X1,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_semiring__mult__2) ).
tff(f55,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_power2__eq__square) ).
tff(f73,axiom,
! [X0: $tType] :
( ab_semigroup_mult(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( times_times(X0,times_times(X0,X3,X2),X1) = times_times(X0,X3,times_times(X0,X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_ab__semigroup__mult__class_Omult__ac_I1_J) ).
tff(f79,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0] : ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f82,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0,X2: X0,X3: X0] : ( plus_plus(X0,plus_plus(X0,X3,X2),X1) = plus_plus(X0,X3,plus_plus(X0,X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
tff(f103,axiom,
ab_semigroup_mult(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oab__semigroup__mult) ).
tff(f105,axiom,
linordered_idom(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__idom) ).
tff(f106,axiom,
comm_semiring_1(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
tff(f108,axiom,
number_semiring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__semiring) ).
tff(f109,axiom,
monoid_mult(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Omonoid__mult) ).
tff(f111,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f142,conjecture,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) = plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f143,negated_conjecture,
( ( ~ plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) ) = plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))) ),
inference(negated_conjecture,[status(cth)],[f142]) ).
tff(f145,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(flattening,[],[f143]) ).
tff(f152,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) )
| ~ linordered_idom(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f153,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( power_power(X0,plus_plus(X0,X2,X1),number_number_of(nat,bit0(bit1(pls)))) = plus_plus(X0,plus_plus(X0,power_power(X0,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))),times_times(X0,times_times(X0,number_number_of(X0,bit0(bit1(pls))),X2),X1)) )
| ~ number_semiring(X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f170,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f46]) ).
tff(f171,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,X1,number_number_of(X0,bit1(pls))) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f47]) ).
tff(f173,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit0(bit1(pls))),X1) = plus_plus(X0,X1,X1) )
| ~ number_semiring(X0) ),
inference(ennf_transformation,[],[f51]) ).
tff(f177,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f55]) ).
tff(f188,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( times_times(X0,times_times(X0,X3,X2),X1) = times_times(X0,X3,times_times(X0,X2,X1)) )
| ~ ab_semigroup_mult(X0) ),
inference(ennf_transformation,[],[f73]) ).
tff(f194,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f79]) ).
tff(f197,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] : ( plus_plus(X0,plus_plus(X0,X3,X2),X1) = plus_plus(X0,X3,plus_plus(X0,X2,X1)) )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f82]) ).
tff(f229,plain,
! [X0: $tType,X1: X0] :
( ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) )
| ~ linordered_idom(X0) ),
inference(cnf_transformation,[],[f152]) ).
tff(f233,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( power_power(X0,plus_plus(X0,X2,X1),number_number_of(nat,bit0(bit1(pls)))) = plus_plus(X0,plus_plus(X0,power_power(X0,X2,number_number_of(nat,bit0(bit1(pls)))),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))),times_times(X0,times_times(X0,number_number_of(X0,bit0(bit1(pls))),X2),X1)) )
| ~ number_semiring(X0) ),
inference(cnf_transformation,[],[f153]) ).
tff(f256,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f25]) ).
tff(f265,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f33]) ).
tff(f269,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f271,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
tff(f272,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,[],[f40]) ).
tff(f273,plain,
! [X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f41]) ).
tff(f278,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(cnf_transformation,[],[f170]) ).
tff(f279,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,X1,number_number_of(X0,bit1(pls))) = X1 ) ),
inference(cnf_transformation,[],[f171]) ).
tff(f283,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,bit0(bit1(pls))),X1) = plus_plus(X0,X1,X1) )
| ~ number_semiring(X0) ),
inference(cnf_transformation,[],[f173]) ).
tff(f287,plain,
! [X0: $tType,X1: X0] :
( ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) )
| ~ monoid_mult(X0) ),
inference(cnf_transformation,[],[f177]) ).
tff(f305,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ ab_semigroup_mult(X0)
| ( times_times(X0,X3,times_times(X0,X2,X1)) = times_times(X0,times_times(X0,X3,X2),X1) ) ),
inference(cnf_transformation,[],[f188]) ).
tff(f311,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( plus_plus(X0,X2,X1) = plus_plus(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f194]) ).
tff(f314,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ~ comm_semiring_1(X0)
| ( plus_plus(X0,X3,plus_plus(X0,X2,X1)) = plus_plus(X0,plus_plus(X0,X3,X2),X1) ) ),
inference(cnf_transformation,[],[f197]) ).
tff(f339,plain,
ab_semigroup_mult(int),
inference(cnf_transformation,[],[f103]) ).
tff(f341,plain,
linordered_idom(int),
inference(cnf_transformation,[],[f105]) ).
tff(f342,plain,
comm_semiring_1(int),
inference(cnf_transformation,[],[f106]) ).
tff(f344,plain,
number_semiring(int),
inference(cnf_transformation,[],[f108]) ).
tff(f345,plain,
monoid_mult(int),
inference(cnf_transformation,[],[f109]) ).
tff(f347,plain,
number_ring(int),
inference(cnf_transformation,[],[f111]) ).
tff(f378,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),power_power(int,w,number_number_of(nat,bit0(bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)),number_number_of(nat,bit0(bit1(pls)))),power_power(int,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)),number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f145]) ).
tff(f381,plain,
! [X0: $tType,X1: X0] :
( ~ linordered_idom(X0)
| ( power_power(X0,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) ) ),
inference(definition_unfolding,[],[f229,f269,f269]) ).
tff(f385,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ number_semiring(X0)
| ( power_power(X0,plus_plus(X0,X2,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(X0,plus_plus(X0,power_power(X0,X2,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),power_power(X0,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls))))),times_times(X0,times_times(X0,number_number_of(X0,plus_plus(int,bit1(pls),bit1(pls))),X2),X1)) ) ),
inference(definition_unfolding,[],[f233,f269,f269,f269,f269]) ).
tff(f398,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,X1),plus_plus(int,X0,X0)) = plus_plus(int,plus_plus(int,X1,X0),plus_plus(int,X1,X0)) ),
inference(definition_unfolding,[],[f256,f269,f269,f269]) ).
tff(f403,plain,
! [X0: $tType,X1: X0] :
( ~ number_semiring(X0)
| ( plus_plus(X0,X1,X1) = times_times(X0,number_number_of(X0,plus_plus(int,bit1(pls),bit1(pls))),X1) ) ),
inference(definition_unfolding,[],[f283,f269]) ).
tff(f407,plain,
! [X0: $tType,X1: X0] :
( ~ monoid_mult(X0)
| ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) ) ),
inference(definition_unfolding,[],[f287,f269]) ).
tff(f415,plain,
plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),power_power(int,v,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls))))),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,bit1(pls),bit1(pls)),plus_plus(int,bit1(pls),bit1(pls)))),power_power(int,w,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))))) != plus_plus(int,power_power(int,times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),abs_abs(int,v)),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),power_power(int,times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),abs_abs(int,w)),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls))))),
inference(definition_unfolding,[],[f378,f269,f269,f269,f269,f269,f269,f269,f269,f269,f269]) ).
tff(f429,definition,
sF0 = bit1(pls),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f430,plain,
bit1(pls) = sF0,
inference(reorient_equations,[],[f429]) ).
tff(f431,definition,
sF1 = plus_plus(int,sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f432,plain,
plus_plus(int,sF0,sF0) = sF1,
inference(reorient_equations,[],[f431]) ).
tff(f433,definition,
sF2 = plus_plus(int,sF1,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f434,plain,
plus_plus(int,sF1,sF1) = sF2,
inference(reorient_equations,[],[f433]) ).
tff(f435,definition,
sF3 = number_number_of(int,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f436,plain,
number_number_of(int,sF2) = sF3,
inference(reorient_equations,[],[f435]) ).
tff(f437,definition,
sF4 = number_number_of(nat,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f438,plain,
number_number_of(nat,sF1) = sF4,
inference(reorient_equations,[],[f437]) ).
tff(f439,definition,
sF5 = power_power(int,v,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f440,plain,
power_power(int,v,sF4) = sF5,
inference(reorient_equations,[],[f439]) ).
tff(f441,definition,
sF6 = times_times(int,sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f442,plain,
times_times(int,sF3,sF5) = sF6,
inference(reorient_equations,[],[f441]) ).
tff(f443,definition,
sF7 = power_power(int,w,sF4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f444,plain,
power_power(int,w,sF4) = sF7,
inference(reorient_equations,[],[f443]) ).
tff(f445,definition,
sF8 = times_times(int,sF3,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f446,plain,
times_times(int,sF3,sF7) = sF8,
inference(reorient_equations,[],[f445]) ).
tff(f447,definition,
sF9 = plus_plus(int,sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f448,plain,
plus_plus(int,sF6,sF8) = sF9,
inference(reorient_equations,[],[f447]) ).
tff(f449,definition,
sF10 = number_number_of(int,sF1),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f450,plain,
number_number_of(int,sF1) = sF10,
inference(reorient_equations,[],[f449]) ).
tff(f451,definition,
sF11 = abs_abs(int,v),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f452,plain,
abs_abs(int,v) = sF11,
inference(reorient_equations,[],[f451]) ).
tff(f453,definition,
sF12 = times_times(int,sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f454,plain,
times_times(int,sF10,sF11) = sF12,
inference(reorient_equations,[],[f453]) ).
tff(f455,definition,
sF13 = power_power(int,sF12,sF4),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f456,plain,
power_power(int,sF12,sF4) = sF13,
inference(reorient_equations,[],[f455]) ).
tff(f457,definition,
sF14 = abs_abs(int,w),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f458,plain,
abs_abs(int,w) = sF14,
inference(reorient_equations,[],[f457]) ).
tff(f459,definition,
sF15 = times_times(int,sF10,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f460,plain,
times_times(int,sF10,sF14) = sF15,
inference(reorient_equations,[],[f459]) ).
tff(f461,definition,
sF16 = power_power(int,sF15,sF4),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f462,plain,
power_power(int,sF15,sF4) = sF16,
inference(reorient_equations,[],[f461]) ).
tff(f463,definition,
sF17 = plus_plus(int,sF13,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
tff(f464,plain,
plus_plus(int,sF13,sF16) = sF17,
inference(reorient_equations,[],[f463]) ).
tff(f465,plain,
sF9 != sF17,
inference(definition_folding,[],[f415,f464,f462,f438,f432,f430,f430,f460,f458,f450,f432,f430,f430,f456,f438,f432,f430,f430,f454,f452,f450,f432,f430,f430,f448,f446,f444,f438,f432,f430,f430,f436,f434,f432,f430,f430,f432,f430,f430,f442,f440,f438,f432,f430,f430,f436,f434,f432,f430,f430,f432,f430,f430]) ).
tff(f469,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f436,f265]) ).
tff(f470,plain,
sF1 = sF10,
inference(forward_demodulation,[],[f450,f265]) ).
tff(f478,plain,
sF12 = times_times(int,sF1,sF11),
inference(superposition,[],[f454,f470]) ).
tff(f479,plain,
sF15 = times_times(int,sF1,sF14),
inference(superposition,[],[f460,f470]) ).
tff(f500,plain,
! [X0: int] : ( times_times(int,number_number_of(int,bit1(pls)),X0) = X0 ),
inference(resolution,[],[f278,f347]) ).
tff(f503,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
inference(forward_demodulation,[],[f500,f265]) ).
tff(f504,plain,
! [X0: int] : ( times_times(int,sF0,X0) = X0 ),
inference(forward_demodulation,[],[f503,f430]) ).
tff(f505,plain,
! [X0: int] : ( times_times(int,X0,number_number_of(int,bit1(pls))) = X0 ),
inference(resolution,[],[f279,f347]) ).
tff(f508,plain,
! [X0: int] : ( times_times(int,X0,bit1(pls)) = X0 ),
inference(forward_demodulation,[],[f505,f265]) ).
tff(f509,plain,
! [X0: int] : ( times_times(int,X0,sF0) = X0 ),
inference(forward_demodulation,[],[f508,f430]) ).
tff(f515,plain,
! [X0: int,X1: int] : ( plus_plus(int,X1,X0) = plus_plus(int,X0,X1) ),
inference(resolution,[],[f311,f342]) ).
tff(f1057,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X0,times_times(int,X1,X2)) = times_times(int,times_times(int,X0,X1),X2) ),
inference(resolution,[],[f305,f339]) ).
tff(f1084,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,plus_plus(int,X0,X1),X2) ),
inference(resolution,[],[f314,f342]) ).
tff(f1247,plain,
! [X0: int,X1: int] : ( times_times(int,X0,plus_plus(int,X1,X1)) = times_times(int,plus_plus(int,X0,X0),X1) ),
inference(superposition,[],[f271,f272]) ).
tff(f1323,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),X0) ),
inference(resolution,[],[f403,f344]) ).
tff(f1327,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,plus_plus(int,bit1(pls),bit1(pls)),X0) ),
inference(forward_demodulation,[],[f1323,f265]) ).
tff(f1329,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,plus_plus(int,sF0,sF0),X0) ),
inference(forward_demodulation,[],[f1327,f430]) ).
tff(f1330,plain,
! [X0: int] : ( plus_plus(int,X0,X0) = times_times(int,sF1,X0) ),
inference(forward_demodulation,[],[f1329,f432]) ).
tff(f1390,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = times_times(int,X0,X0) ),
inference(resolution,[],[f407,f345]) ).
tff(f1395,plain,
! [X0: int] : ( times_times(int,X0,X0) = power_power(int,X0,number_number_of(nat,times_times(int,sF1,bit1(pls)))) ),
inference(forward_demodulation,[],[f1390,f1330]) ).
tff(f1398,plain,
! [X0: int] : ( times_times(int,X0,X0) = power_power(int,X0,number_number_of(nat,times_times(int,sF1,sF0))) ),
inference(forward_demodulation,[],[f1395,f430]) ).
tff(f1401,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,sF1)) = times_times(int,X0,X0) ),
inference(forward_demodulation,[],[f1398,f509]) ).
tff(f1404,plain,
! [X0: int] : ( power_power(int,X0,sF4) = times_times(int,X0,X0) ),
inference(forward_demodulation,[],[f1401,f438]) ).
tff(f1501,plain,
! [X0: int,X1: int] : ( times_times(int,plus_plus(int,X0,X0),X1) = times_times(int,sF1,times_times(int,X0,X1)) ),
inference(superposition,[],[f271,f1330]) ).
tff(f1512,plain,
sF12 = plus_plus(int,sF11,sF11),
inference(superposition,[],[f478,f1330]) ).
tff(f1513,plain,
sF15 = plus_plus(int,sF14,sF14),
inference(superposition,[],[f479,f1330]) ).
tff(f1515,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X0,X1)) = plus_plus(int,plus_plus(int,X0,X0),times_times(int,sF1,X1)) ),
inference(superposition,[],[f272,f1330]) ).
tff(f1524,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X0,X1)) = plus_plus(int,X0,plus_plus(int,X0,times_times(int,sF1,X1))) ),
inference(forward_demodulation,[],[f1515,f1084]) ).
tff(f1634,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,number_number_of(int,X0)),plus_plus(int,X1,number_number_of(int,X0))) = plus_plus(int,plus_plus(int,X1,X1),number_number_of(int,plus_plus(int,X0,X0))) ),
inference(superposition,[],[f398,f273]) ).
tff(f1657,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,X1),plus_plus(int,X0,X0)) = plus_plus(int,plus_plus(int,X0,X1),plus_plus(int,X0,X1)) ),
inference(superposition,[],[f515,f398]) ).
tff(f1673,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X0,X0),plus_plus(int,X1,X1)) = times_times(int,sF1,plus_plus(int,X0,X1)) ),
inference(superposition,[],[f1330,f398]) ).
tff(f1690,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X0,X1)) = plus_plus(int,X0,plus_plus(int,X0,plus_plus(int,X1,X1))) ),
inference(forward_demodulation,[],[f1673,f1084]) ).
tff(f1706,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,X1),plus_plus(int,X0,X0)) = plus_plus(int,X0,plus_plus(int,X1,plus_plus(int,X0,X1))) ),
inference(forward_demodulation,[],[f1657,f1084]) ).
tff(f1729,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,number_number_of(int,X0)),plus_plus(int,X1,number_number_of(int,X0))) = plus_plus(int,X1,plus_plus(int,X1,number_number_of(int,plus_plus(int,X0,X0)))) ),
inference(forward_demodulation,[],[f1634,f1084]) ).
tff(f1768,plain,
! [X0: int,X1: int] : ( plus_plus(int,X0,plus_plus(int,X1,plus_plus(int,X0,X1))) = plus_plus(int,X1,plus_plus(int,X1,plus_plus(int,X0,X0))) ),
inference(forward_demodulation,[],[f1706,f1084]) ).
tff(f1788,plain,
! [X0: int,X1: int] : ( plus_plus(int,plus_plus(int,X1,number_number_of(int,X0)),plus_plus(int,X1,number_number_of(int,X0))) = plus_plus(int,X1,plus_plus(int,X1,plus_plus(int,X0,X0))) ),
inference(forward_demodulation,[],[f1729,f265]) ).
tff(f1811,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X1,X0)) = plus_plus(int,X0,plus_plus(int,X1,plus_plus(int,X0,X1))) ),
inference(forward_demodulation,[],[f1768,f1690]) ).
tff(f1827,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X1,X0)) = plus_plus(int,plus_plus(int,X1,number_number_of(int,X0)),plus_plus(int,X1,number_number_of(int,X0))) ),
inference(forward_demodulation,[],[f1788,f1690]) ).
tff(f1846,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X1,X0)) = plus_plus(int,X1,plus_plus(int,number_number_of(int,X0),plus_plus(int,X1,number_number_of(int,X0)))) ),
inference(forward_demodulation,[],[f1827,f1084]) ).
tff(f1853,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X1,X0)) = times_times(int,sF1,plus_plus(int,number_number_of(int,X0),X1)) ),
inference(forward_demodulation,[],[f1846,f1811]) ).
tff(f1859,plain,
! [X0: int,X1: int] : ( times_times(int,sF1,plus_plus(int,X1,X0)) = times_times(int,sF1,plus_plus(int,X0,X1)) ),
inference(forward_demodulation,[],[f1853,f265]) ).
tff(f2074,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = power_power(int,abs_abs(int,X0),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) ),
inference(resolution,[],[f381,f341]) ).
tff(f2077,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,times_times(int,sF1,bit1(pls)))) = power_power(int,abs_abs(int,X0),number_number_of(nat,times_times(int,sF1,bit1(pls)))) ),
inference(forward_demodulation,[],[f2074,f1330]) ).
tff(f2079,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,times_times(int,sF1,sF0))) = power_power(int,abs_abs(int,X0),number_number_of(nat,times_times(int,sF1,sF0))) ),
inference(forward_demodulation,[],[f2077,f430]) ).
tff(f2081,plain,
! [X0: int] : ( power_power(int,X0,number_number_of(nat,sF1)) = power_power(int,abs_abs(int,X0),number_number_of(nat,sF1)) ),
inference(forward_demodulation,[],[f2079,f509]) ).
tff(f2083,plain,
! [X0: int] : ( power_power(int,X0,sF4) = power_power(int,abs_abs(int,X0),sF4) ),
inference(forward_demodulation,[],[f2081,f438]) ).
tff(f3976,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(int,plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),power_power(int,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls))))),times_times(int,times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),X0),X1)) ),
inference(resolution,[],[f385,f344]) ).
tff(f3981,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),times_times(int,times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),X0),X1))) ),
inference(forward_demodulation,[],[f3976,f1084]) ).
tff(f3984,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),times_times(int,number_number_of(int,plus_plus(int,bit1(pls),bit1(pls))),times_times(int,X0,X1)))) ),
inference(forward_demodulation,[],[f3981,f1057]) ).
tff(f3987,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),times_times(int,plus_plus(int,bit1(pls),bit1(pls)),times_times(int,X0,X1)))) ),
inference(forward_demodulation,[],[f3984,f265]) ).
tff(f3990,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))),times_times(int,sF1,times_times(int,bit1(pls),times_times(int,X0,X1))))) ),
inference(forward_demodulation,[],[f3987,f1501]) ).
tff(f3993,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,sF0,sF0))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,sF0,sF0))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,sF0,sF0))),times_times(int,sF1,times_times(int,sF0,times_times(int,X0,X1))))) ),
inference(forward_demodulation,[],[f3990,f430]) ).
tff(f3996,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,plus_plus(int,sF0,sF0))) = plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,sF0,sF0))),plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,sF0,sF0))),times_times(int,sF1,times_times(int,X0,X1)))) ),
inference(forward_demodulation,[],[f3993,f504]) ).
tff(f3999,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),number_number_of(nat,sF1)) = plus_plus(int,power_power(int,X0,number_number_of(nat,sF1)),plus_plus(int,power_power(int,X1,number_number_of(nat,sF1)),times_times(int,sF1,times_times(int,X0,X1)))) ),
inference(forward_demodulation,[],[f3996,f432]) ).
tff(f4002,plain,
! [X0: int,X1: int] : ( power_power(int,plus_plus(int,X0,X1),sF4) = plus_plus(int,power_power(int,X0,sF4),plus_plus(int,power_power(int,X1,sF4),times_times(int,sF1,times_times(int,X0,X1)))) ),
inference(forward_demodulation,[],[f3999,f438]) ).
tff(f4492,plain,
power_power(int,v,sF4) = power_power(int,sF11,sF4),
inference(superposition,[],[f2083,f452]) ).
tff(f4493,plain,
power_power(int,w,sF4) = power_power(int,sF14,sF4),
inference(superposition,[],[f2083,f458]) ).
tff(f4505,plain,
power_power(int,w,sF4) = times_times(int,sF14,sF14),
inference(forward_demodulation,[],[f4493,f1404]) ).
tff(f4506,plain,
power_power(int,v,sF4) = times_times(int,sF11,sF11),
inference(forward_demodulation,[],[f4492,f1404]) ).
tff(f4513,plain,
sF7 = times_times(int,sF14,sF14),
inference(forward_demodulation,[],[f4505,f444]) ).
tff(f4514,plain,
sF5 = times_times(int,sF11,sF11),
inference(forward_demodulation,[],[f4506,f440]) ).
tff(f8338,plain,
! [X0: int] : ( times_times(int,sF1,plus_plus(int,X0,X0)) = times_times(int,sF2,X0) ),
inference(superposition,[],[f1247,f434]) ).
tff(f8470,plain,
! [X0: int] : ( times_times(int,sF3,X0) = times_times(int,sF1,plus_plus(int,X0,X0)) ),
inference(forward_demodulation,[],[f8338,f469]) ).
tff(f27809,plain,
power_power(int,plus_plus(int,sF11,sF11),sF4) = plus_plus(int,power_power(int,sF11,sF4),plus_plus(int,power_power(int,sF11,sF4),times_times(int,sF1,sF5))),
inference(superposition,[],[f4002,f4514]) ).
tff(f27811,plain,
power_power(int,plus_plus(int,sF14,sF14),sF4) = plus_plus(int,power_power(int,sF14,sF4),plus_plus(int,power_power(int,sF14,sF4),times_times(int,sF1,sF7))),
inference(superposition,[],[f4002,f4513]) ).
tff(f27882,plain,
power_power(int,plus_plus(int,sF14,sF14),sF4) = times_times(int,sF1,plus_plus(int,power_power(int,sF14,sF4),sF7)),
inference(forward_demodulation,[],[f27811,f1524]) ).
tff(f27884,plain,
power_power(int,plus_plus(int,sF11,sF11),sF4) = times_times(int,sF1,plus_plus(int,power_power(int,sF11,sF4),sF5)),
inference(forward_demodulation,[],[f27809,f1524]) ).
tff(f27941,plain,
power_power(int,plus_plus(int,sF14,sF14),sF4) = times_times(int,sF1,plus_plus(int,sF7,power_power(int,sF14,sF4))),
inference(forward_demodulation,[],[f27882,f1859]) ).
tff(f27943,plain,
power_power(int,plus_plus(int,sF11,sF11),sF4) = times_times(int,sF1,plus_plus(int,sF5,power_power(int,sF11,sF4))),
inference(forward_demodulation,[],[f27884,f1859]) ).
tff(f27986,plain,
power_power(int,plus_plus(int,sF14,sF14),sF4) = times_times(int,sF1,plus_plus(int,sF7,times_times(int,sF14,sF14))),
inference(forward_demodulation,[],[f27941,f1404]) ).
tff(f27988,plain,
power_power(int,plus_plus(int,sF11,sF11),sF4) = times_times(int,sF1,plus_plus(int,sF5,times_times(int,sF11,sF11))),
inference(forward_demodulation,[],[f27943,f1404]) ).
tff(f28018,plain,
power_power(int,plus_plus(int,sF14,sF14),sF4) = times_times(int,sF1,plus_plus(int,sF7,sF7)),
inference(forward_demodulation,[],[f27986,f4513]) ).
tff(f28020,plain,
power_power(int,plus_plus(int,sF11,sF11),sF4) = times_times(int,sF1,plus_plus(int,sF5,sF5)),
inference(forward_demodulation,[],[f27988,f4514]) ).
tff(f28040,plain,
times_times(int,sF3,sF7) = power_power(int,plus_plus(int,sF14,sF14),sF4),
inference(forward_demodulation,[],[f28018,f8470]) ).
tff(f28041,plain,
times_times(int,sF3,sF5) = power_power(int,plus_plus(int,sF11,sF11),sF4),
inference(forward_demodulation,[],[f28020,f8470]) ).
tff(f28059,plain,
times_times(int,sF3,sF7) = power_power(int,sF15,sF4),
inference(forward_demodulation,[],[f28040,f1513]) ).
tff(f28060,plain,
times_times(int,sF3,sF5) = power_power(int,sF12,sF4),
inference(forward_demodulation,[],[f28041,f1512]) ).
tff(f28074,plain,
times_times(int,sF3,sF7) = sF16,
inference(forward_demodulation,[],[f28059,f462]) ).
tff(f28075,plain,
times_times(int,sF3,sF5) = sF13,
inference(forward_demodulation,[],[f28060,f456]) ).
tff(f28084,plain,
sF8 = sF16,
inference(forward_demodulation,[],[f28074,f446]) ).
tff(f28085,plain,
sF6 = sF13,
inference(forward_demodulation,[],[f28075,f442]) ).
tff(f28113,plain,
sF17 = plus_plus(int,sF13,sF8),
inference(superposition,[],[f464,f28084]) ).
tff(f28124,plain,
sF17 = plus_plus(int,sF8,sF13),
inference(forward_demodulation,[],[f28113,f515]) ).
tff(f28125,plain,
sF17 = plus_plus(int,sF8,sF6),
inference(forward_demodulation,[],[f28124,f28085]) ).
tff(f28126,plain,
plus_plus(int,sF6,sF8) = sF17,
inference(forward_demodulation,[],[f28125,f515]) ).
tff(f28127,plain,
sF9 = sF17,
inference(forward_demodulation,[],[f28126,f448]) ).
tff(f28128,plain,
$false,
inference(forward_subsumption_resolution,[],[f28127,f465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM996_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:49:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.41/1.57 % (202448)Will run a generic schedule for satisfiability detection.
% 6.41/1.57 % (202457)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3138262686:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.41/1.57 % (202454)% WARNING: option uhcvi not known.
% 6.41/1.57 % (202453)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1316347407_2999 on theBenchmark for (2999ds/0Mi)
% 6.41/1.57 % (202454)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=965502377:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.41/1.57 % (202455)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3737534380:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.41/1.57 % (202456)dis+10_1_sil=32000:sp=arity:random_seed=1542236376:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.41/1.57 % (202458)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3693725968:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.41/1.57 % (202459)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=620837667:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.41/1.57 % Exception at run slice level
% 6.41/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.41/1.57 % (202467)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=353294163:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.41/1.57 % Exception at run slice level
% 6.41/1.57 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.41/1.57 % (202457)Instruction limit reached!
% 6.41/1.57 % (202457)------------------------------
% 6.41/1.57 % (202457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/1.57 % (202457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.57 % (202457)CaDiCaL version: 2.1.3
% 6.41/1.57 % (202457)Termination reason: Instruction limit
% 6.41/1.57 % (202457)Termination phase: Saturation
% 6.41/1.57 % (202457)Time elapsed: 0.037 s
% 6.41/1.57 % (202457)Peak memory usage: 13 MB
% 6.41/1.57 % (202457)Instructions burned: 119 (million)
% 6.41/1.57 % (202470)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1904444796:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.41/1.57 % (202469)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=894868650:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.41/1.57 % (202456)Instruction limit reached!
% 6.41/1.57 % (202456)------------------------------
% 6.41/1.57 % (202456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/1.57 % (202456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.57 % (202456)CaDiCaL version: 2.1.3
% 6.41/1.57 % (202456)Termination reason: Instruction limit
% 6.41/1.57 % (202456)Termination phase: Saturation
% 6.41/1.57 % (202456)Time elapsed: 0.056 s
% 6.41/1.57 % (202456)Peak memory usage: 12 MB
% 6.41/1.57 % (202456)Instructions burned: 104 (million)
% 6.41/1.57 % (202458)Instruction limit reached!
% 6.41/1.57 % (202458)------------------------------
% 6.41/1.57 % (202458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/1.57 % (202458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.57 % (202458)CaDiCaL version: 2.1.3
% 6.41/1.57 % (202458)Termination reason: Instruction limit
% 6.41/1.57 % (202458)Termination phase: Saturation
% 6.41/1.57 % (202458)Time elapsed: 0.068 s
% 6.41/1.57 % (202458)Peak memory usage: 12 MB
% 6.41/1.57 % (202458)Instructions burned: 132 (million)
% 6.41/1.57 % (202473)ott-21_1_sil=16000:fs=off:random_seed=1324700088:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 6.41/1.57 % (202474)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=456394274:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.41/1.57 % (202459)Instruction limit reached!
% 6.41/1.57 % (202459)------------------------------
% 6.41/1.57 % (202459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.41/1.57 % (202459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.57 % (202459)CaDiCaL version: 2.1.3
% 6.41/1.57 % (202459)Termination reason: Instruction limit
% 6.41/1.57 % (202459)Termination phase: Saturation
% 6.41/1.57 % (202459)Time elapsed: 0.095 s
% 6.41/1.57 % (202459)Peak memory usage: 13 MB
% 11.30/2.03 % (202459)Instructions burned: 160 (million)
% 11.30/2.03 % (202477)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=946451030:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202469)Instruction limit reached!
% 11.30/2.03 % (202469)------------------------------
% 11.30/2.03 % (202469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202469)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202469)Termination reason: Instruction limit
% 11.30/2.03 % (202469)Termination phase: Saturation
% 11.30/2.03 % (202469)Time elapsed: 0.082 s
% 11.30/2.03 % (202469)Peak memory usage: 13 MB
% 11.30/2.03 % (202469)Instructions burned: 131 (million)
% 11.30/2.03 % (202479)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3773805857:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 11.30/2.03 % (202480)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3024863018:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202473)Instruction limit reached!
% 11.30/2.03 % (202473)------------------------------
% 11.30/2.03 % (202473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202473)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202473)Termination reason: Instruction limit
% 11.30/2.03 % (202473)Termination phase: Saturation
% 11.30/2.03 % (202473)Time elapsed: 0.079 s
% 11.30/2.03 % (202473)Peak memory usage: 12 MB
% 11.30/2.03 % (202473)Instructions burned: 182 (million)
% 11.30/2.03 % (202483)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4133762554:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 11.30/2.03 % (202484)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=741705311:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 11.30/2.03 % (202470)Instruction limit reached!
% 11.30/2.03 % (202470)------------------------------
% 11.30/2.03 % (202470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202470)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202470)Termination reason: Instruction limit
% 11.30/2.03 % (202470)Termination phase: Saturation
% 11.30/2.03 % (202470)Time elapsed: 0.186 s
% 11.30/2.03 % (202470)Peak memory usage: 16 MB
% 11.30/2.03 % (202470)Instructions burned: 685 (million)
% 11.30/2.03 % (202487)fmb+10_1_sil=64000:random_seed=22262798:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 11.30/2.03 % (202487)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202489)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1408898725:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202491)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1965428154:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202493)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3984710271:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 11.30/2.03 % (202474)Instruction limit reached!
% 11.30/2.03 % (202474)------------------------------
% 11.30/2.03 % (202474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202474)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202474)Termination reason: Instruction limit
% 11.30/2.03 % (202474)Termination phase: Saturation
% 11.30/2.03 % (202474)Time elapsed: 0.257 s
% 11.30/2.03 % (202474)Peak memory usage: 15 MB
% 11.30/2.03 % (202474)Instructions burned: 478 (million)
% 11.30/2.03 % (202495)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2563450369:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 11.30/2.03 % (202495)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.30/2.03 % (202483)Instruction limit reached!
% 11.30/2.03 % (202483)------------------------------
% 11.30/2.03 % (202483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202483)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202483)Termination reason: Instruction limit
% 11.30/2.03 % (202483)Termination phase: Saturation
% 11.30/2.03 % (202483)Time elapsed: 0.396 s
% 11.30/2.03 % (202483)Peak memory usage: 16 MB
% 11.30/2.03 % (202483)Instructions burned: 692 (million)
% 11.30/2.03 % (202497)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3443923751:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202499)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3908508732:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202484)Instruction limit reached!
% 11.30/2.03 % (202484)------------------------------
% 11.30/2.03 % (202484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202484)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202484)Termination reason: Instruction limit
% 11.30/2.03 % (202484)Termination phase: Saturation
% 11.30/2.03 % (202484)Time elapsed: 0.446 s
% 11.30/2.03 % (202484)Peak memory usage: 17 MB
% 11.30/2.03 % (202484)Instructions burned: 879 (million)
% 11.30/2.03 % (202501)ott-2_1_sil=16000:newcnf=on:random_seed=3331281672:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 11.30/2.03 % (202502)ott+10_1_sil=32000:tgt=ground:random_seed=2460809558:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 11.30/2.03 % (202479)Instruction limit reached!
% 11.30/2.03 % (202479)------------------------------
% 11.30/2.03 % (202479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202479)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202479)Termination reason: Instruction limit
% 11.30/2.03 % (202479)Termination phase: Saturation
% 11.30/2.03 % (202479)Time elapsed: 0.539 s
% 11.30/2.03 % (202479)Peak memory usage: 18 MB
% 11.30/2.03 % (202479)Instructions burned: 1179 (million)
% 11.30/2.03 % (202505)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3452394788:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 11.30/2.03 % Exception at run slice level
% 11.30/2.03 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.30/2.03 % (202507)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3247545089:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 11.30/2.03 % (202495)Instruction limit reached!
% 11.30/2.03 % (202495)------------------------------
% 11.30/2.03 % (202495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202495)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202495)Termination reason: Instruction limit
% 11.30/2.03 % (202495)Termination phase: Saturation
% 11.30/2.03 % (202495)Time elapsed: 0.707 s
% 11.30/2.03 % (202495)Peak memory usage: 23 MB
% 11.30/2.03 % (202495)Instructions burned: 1472 (million)
% 11.30/2.03 % (202509)dis+21_1_sil=32000:sas=cadical:random_seed=4117247199:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 11.30/2.03 % (202501)Instruction limit reached!
% 11.30/2.03 % (202501)------------------------------
% 11.30/2.03 % (202501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.03 % (202501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.03 % (202501)CaDiCaL version: 2.1.3
% 11.30/2.03 % (202501)Termination reason: Instruction limit
% 11.30/2.03 % (202501)Termination phase: Saturation
% 11.30/2.03 % (202501)Time elapsed: 0.470 s
% 11.30/2.03 % (202501)Peak memory usage: 17 MB
% 11.30/2.03 % (202501)Instructions burned: 870 (million)
% 11.30/2.03 % (202511)ott+11_1_sil=16000:gs=on:random_seed=944167267:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 11.30/2.03 % (202502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-202448-202502"...
% 11.30/2.03 % (202502)...printing done.
% 11.30/2.03 % (202502)Refutation found. Thanks to Tanya!
% 11.30/2.03 % SZS status Theorem for theBenchmark
% 11.30/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 11.30/2.04 % (202502)------------------------------
% 11.30/2.04 % (202502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.30/2.04 % (202502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/2.04 % (202502)CaDiCaL version: 2.1.3
% 11.30/2.04 % (202502)Termination reason: Refutation
% 11.30/2.04 % (202502)Time elapsed: 0.916 s
% 11.30/2.04 % (202502)Peak memory usage: 23 MB
% 11.30/2.04 % (202502)Instructions burned: 1649 (million)
% 11.30/2.04 % (202448)Success in time 1.606 s
% 11.30/2.04 % Vampire exiting
%------------------------------------------------------------------------------