%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:26:13 PM UTC 2026
% Result : Theorem 6.51s 1.46s
% Output : Refutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 147 ( 76 unt; 4 def)
% Number of atoms : 229 ( 123 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 159 ( 77 ~; 71 |; 0 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 88 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( zero_neq_one(X0)
=> ti(X0,one_one(X0)) = one_one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Groups_Oone__class_Oone_0_res) ).
fof(f39,axiom,
! [X0] : bit0(ti(int,X0)) = bit0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).
fof(f70,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res) ).
fof(f71,axiom,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f72,axiom,
( t = one_one(int)
=> ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f73,axiom,
( ord_less(int,one_one(int),t)
=> ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f108,axiom,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_nat__1__add__1) ).
fof(f120,axiom,
! [X0,X1] :
( ord_less_eq(int,number_number_of(int,X0),number_number_of(int,X1))
<=> ord_less_eq(int,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_less__eq__number__of__int__code) ).
fof(f156,axiom,
! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_zmult__commute) ).
fof(f157,axiom,
! [X0] : number_number_of(int,X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).
fof(f158,axiom,
! [X0,X1,X2] : plus_plus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,X0,plus_plus(int,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_zadd__assoc) ).
fof(f159,axiom,
! [X0,X1,X2] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,X1,plus_plus(int,X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_zadd__left__commute) ).
fof(f160,axiom,
! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zadd__commute) ).
fof(f194,axiom,
! [X0] : plus_plus(int,X0,pls) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_add__Pls__right) ).
fof(f195,axiom,
! [X0] : plus_plus(int,pls,X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_add__Pls) ).
fof(f197,axiom,
! [X0] : bit0(X0) = plus_plus(int,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_Bit0__def) ).
fof(f203,axiom,
! [X0,X1] : plus_plus(int,number_number_of(int,X0),number_number_of(int,X1)) = number_number_of(int,plus_plus(int,X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_plus__numeral__code_I9_J) ).
fof(f222,axiom,
! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_Bit1__def) ).
fof(f398,axiom,
! [X0] :
( order(X0)
=> ! [X1,X2] :
( ord_less_eq(X0,X1,X2)
=> ( ti(X0,X1) != ti(X0,X2)
=> ord_less(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_order__le__neq__implies__less) ).
fof(f584,axiom,
zero_neq_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ozero__neq__one) ).
fof(f591,axiom,
order(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oorder) ).
fof(f653,conjecture,
? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f654,negated_conjecture,
~ ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(negated_conjecture,[status(cth)],[f653]) ).
fof(f658,plain,
! [X0] :
( ti(X0,one_one(X0)) = one_one(X0)
| ~ zero_neq_one(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f696,plain,
( ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))
| t != one_one(int) ),
inference(ennf_transformation,[],[f72]) ).
fof(f697,plain,
( ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))
| ~ ord_less(int,one_one(int),t) ),
inference(ennf_transformation,[],[f73]) ).
fof(f938,plain,
! [X0] :
( ! [X1,X2] :
( ord_less(X0,X1,X2)
| ti(X0,X1) = ti(X0,X2)
| ~ ord_less_eq(X0,X1,X2) )
| ~ order(X0) ),
inference(ennf_transformation,[],[f398]) ).
fof(f939,plain,
! [X0] :
( ! [X1,X2] :
( ord_less(X0,X1,X2)
| ti(X0,X1) = ti(X0,X2)
| ~ ord_less_eq(X0,X1,X2) )
| ~ order(X0) ),
inference(flattening,[],[f938]) ).
fof(f1117,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(ennf_transformation,[],[f654]) ).
fof(f1124,plain,
! [X0] :
( ~ zero_neq_one(X0)
| one_one(X0) = ti(X0,one_one(X0)) ),
inference(cnf_transformation,[],[f658]) ).
fof(f1160,plain,
! [X0] : bit0(ti(int,X0)) = bit0(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f1200,plain,
t = ti(int,t),
inference(cnf_transformation,[],[f70]) ).
fof(f1201,plain,
ord_less_eq(int,one_one(int),t),
inference(cnf_transformation,[],[f71]) ).
fof(f1202,plain,
( t != one_one(int)
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f696]) ).
fof(f1203,plain,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f697]) ).
fof(f1243,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f108]) ).
fof(f1264,plain,
! [X0,X1] :
( ~ ord_less_eq(int,X0,X1)
| ord_less_eq(int,number_number_of(int,X0),number_number_of(int,X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1313,plain,
! [X0,X1] : times_times(int,X1,X0) = times_times(int,X0,X1),
inference(cnf_transformation,[],[f156]) ).
fof(f1314,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(cnf_transformation,[],[f157]) ).
fof(f1315,plain,
! [X2,X0,X1] : plus_plus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,X0,plus_plus(int,X1,X2)),
inference(cnf_transformation,[],[f158]) ).
fof(f1316,plain,
! [X2,X0,X1] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,X1,plus_plus(int,X0,X2)),
inference(cnf_transformation,[],[f159]) ).
fof(f1317,plain,
! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
inference(cnf_transformation,[],[f160]) ).
fof(f1373,plain,
! [X0] : ti(int,X0) = plus_plus(int,X0,pls),
inference(cnf_transformation,[],[f194]) ).
fof(f1374,plain,
! [X0] : ti(int,X0) = plus_plus(int,pls,X0),
inference(cnf_transformation,[],[f195]) ).
fof(f1376,plain,
! [X0] : bit0(X0) = plus_plus(int,X0,X0),
inference(cnf_transformation,[],[f197]) ).
fof(f1382,plain,
! [X0,X1] : plus_plus(int,number_number_of(int,X0),number_number_of(int,X1)) = number_number_of(int,plus_plus(int,X0,X1)),
inference(cnf_transformation,[],[f203]) ).
fof(f1401,plain,
! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
inference(cnf_transformation,[],[f222]) ).
fof(f1657,plain,
! [X2,X0,X1] :
( ~ order(X0)
| ~ ord_less_eq(X0,X1,X2)
| ti(X0,X1) = ti(X0,X2)
| ord_less(X0,X1,X2) ),
inference(cnf_transformation,[],[f939]) ).
fof(f1899,plain,
zero_neq_one(int),
inference(cnf_transformation,[],[f584]) ).
fof(f1906,plain,
order(int),
inference(cnf_transformation,[],[f591]) ).
fof(f1968,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(cnf_transformation,[],[f1117]) ).
fof(f1969,plain,
! [X0] : plus_plus(int,X0,X0) = plus_plus(int,ti(int,X0),ti(int,X0)),
inference(definition_unfolding,[],[f1160,f1376,f1376]) ).
fof(f1973,plain,
( t != one_one(int)
| plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,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,sK1,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,[],[f1202,f1376,f1376,f1401,f1376,f1401,f1376,f1401]) ).
fof(f1974,plain,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,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,sK3,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,[],[f1203,f1376,f1376,f1401,f1376,f1401,f1376,f1401]) ).
fof(f1994,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,[],[f1243,f1376,f1401]) ).
fof(f2191,plain,
! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,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,X1,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,[],[f1968,f1376,f1401,f1376,f1401,f1376,f1376,f1401]) ).
fof(f2448,plain,
! [X2,X0,X1] :
( ~ ord_less_eq(X0,X1,X2)
| order(X0)
| ti(X0,X1) = ti(X0,X2)
| ord_less(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f1657]) ).
fof(f2582,plain,
~ order(int),
inference(consistent_polarity_flipping,[],[f1906]) ).
fof(f2632,definition,
( spl12_3
<=> plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,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,sK3,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))))) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f2634,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,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,sK3,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)))))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2636,definition,
( spl12_4
<=> ord_less(int,one_one(int),t) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f2639,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f1974,f2636,f2632]) ).
fof(f2641,definition,
( spl12_5
<=> plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,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,sK1,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))))) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f2643,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,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,sK1,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)))))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f2645,definition,
( spl12_6
<=> t = one_one(int) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f2648,plain,
( spl12_5
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f1973,f2645,f2641]) ).
fof(f2700,plain,
t = number_number_of(int,t),
inference(superposition,[],[f1314,f1200]) ).
fof(f2726,plain,
! [X0] : number_number_of(int,X0) = plus_plus(int,X0,pls),
inference(forward_demodulation,[],[f1373,f1314]) ).
fof(f2727,plain,
! [X0] : number_number_of(int,X0) = plus_plus(int,pls,X0),
inference(forward_demodulation,[],[f1374,f1314]) ).
fof(f2784,plain,
one_one(int) = ti(int,one_one(int)),
inference(resolution,[],[f1124,f1899]) ).
fof(f2787,plain,
one_one(int) = number_number_of(int,one_one(int)),
inference(superposition,[],[f2784,f1314]) ).
fof(f2962,plain,
! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,plus_plus(int,one_one(int),pls))),plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,plus_plus(int,one_one(int),pls))))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,plus_plus(int,one_one(int),pls))))),power_power(int,X1,number_number_of(nat,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,plus_plus(int,one_one(int),pls)))))),
inference(forward_demodulation,[],[f2191,f2726]) ).
fof(f2963,plain,
! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),power_power(int,X1,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))))),
inference(forward_demodulation,[],[f2962,f2726]) ).
fof(f2964,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),power_power(int,X1,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))))) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),m)),
inference(forward_demodulation,[],[f2963,f1317]) ).
fof(f2965,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),power_power(int,X1,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))))) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))))),
inference(forward_demodulation,[],[f2964,f1313]) ).
fof(f3453,plain,
ord_less_eq(int,number_number_of(int,one_one(int)),number_number_of(int,t)),
inference(resolution,[],[f1264,f1201]) ).
fof(f3469,plain,
ord_less_eq(int,number_number_of(int,one_one(int)),t),
inference(forward_demodulation,[],[f3453,f2700]) ).
fof(f4264,plain,
! [X0] : plus_plus(int,X0,X0) = plus_plus(int,number_number_of(int,X0),number_number_of(int,X0)),
inference(forward_demodulation,[],[f1969,f1314]) ).
fof(f5664,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int)))))),power_power(int,X1,number_number_of(nat,number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int))))))) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int)))),number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int)))))))),
inference(superposition,[],[f2965,f1382]) ).
fof(f5695,plain,
! [X0,X1] : plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int))),plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int))))))) != plus_plus(int,power_power(int,X0,number_number_of(nat,number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int)))))),power_power(int,X1,number_number_of(nat,number_number_of(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,one_one(int))))))),
inference(forward_demodulation,[],[f5664,f4264]) ).
fof(f5705,plain,
! [X0,X1] : plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))))) != plus_plus(int,power_power(int,X0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,X1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))),
inference(forward_demodulation,[],[f5695,f4264]) ).
fof(f5706,plain,
! [X0,X1] : plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,one_one(int),one_one(int)),one_one(int)))))) != plus_plus(int,power_power(int,X0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,X1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))),
inference(forward_demodulation,[],[f5705,f1316]) ).
fof(f5707,plain,
! [X0,X1] : plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) != plus_plus(int,power_power(int,X0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,X1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))),
inference(forward_demodulation,[],[f5706,f1317]) ).
fof(f6432,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),power_power(int,sK3,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f2634,f1316]) ).
fof(f6440,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK3,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6432,f1315]) ).
fof(f6447,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK3,number_number_of(nat,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6440,f1316]) ).
fof(f6454,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6447,f2727]) ).
fof(f6455,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6454,f2726]) ).
fof(f6456,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6455,f2726]) ).
fof(f6457,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6456,f2726]) ).
fof(f6458,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6457,f2787]) ).
fof(f6459,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6458,f2787]) ).
fof(f6460,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6459,f2787]) ).
fof(f6461,plain,
( plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))) = plus_plus(int,one_one(int),times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),m))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6460,f1317]) ).
fof(f6462,plain,
( plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int)))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6461,f1313]) ).
fof(f6463,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))))) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6462,f4264]) ).
fof(f6464,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,one_one(int),one_one(int)),one_one(int)))))) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6463,f1316]) ).
fof(f6465,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,power_power(int,sK2,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK3,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6464,f1317]) ).
fof(f6494,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),power_power(int,sK1,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f2643,f1316]) ).
fof(f6497,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK1,number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6494,f1315]) ).
fof(f6499,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK1,number_number_of(nat,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6497,f1316]) ).
fof(f6500,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6499,f2727]) ).
fof(f6501,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6500,f2726]) ).
fof(f6502,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls))))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6501,f2726]) ).
fof(f6503,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int)))))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6502,f2726]) ).
fof(f6504,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6503,f2787]) ).
fof(f6505,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int)))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6504,f2787]) ).
fof(f6506,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6505,f2787]) ).
fof(f6507,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),m)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6506,f1317]) ).
fof(f6508,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),one_one(int))),number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6507,f1313]) ).
fof(f6509,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int)))))) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6508,f4264]) ).
fof(f6510,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,one_one(int),one_one(int)),one_one(int)))))) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6509,f1316]) ).
fof(f6511,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,power_power(int,sK0,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))),power_power(int,sK1,number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int))))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6510,f1317]) ).
fof(f8366,plain,
( order(int)
| ti(int,t) = ti(int,number_number_of(int,one_one(int)))
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(resolution,[],[f2448,f3469]) ).
fof(f8376,plain,
( ti(int,t) = ti(int,number_number_of(int,one_one(int)))
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(forward_subsumption_resolution,[],[f8366,f2582]) ).
fof(f8398,plain,
( ti(int,t) = number_number_of(int,number_number_of(int,one_one(int)))
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(forward_demodulation,[],[f8376,f1314]) ).
fof(f8418,plain,
( ti(int,t) = number_number_of(int,one_one(int))
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(forward_demodulation,[],[f8398,f2787]) ).
fof(f8434,plain,
( ti(int,t) = one_one(int)
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(forward_demodulation,[],[f8418,f2787]) ).
fof(f10813,plain,
( t = one_one(int)
| ord_less(int,number_number_of(int,one_one(int)),t) ),
inference(forward_demodulation,[],[f8434,f1200]) ).
fof(f10847,plain,
( ord_less(int,one_one(int),t)
| t = one_one(int) ),
inference(forward_demodulation,[],[f10813,f2787]) ).
fof(f10862,plain,
( spl12_6
| spl12_4 ),
inference(avatar_split_clause,[],[f10847,f2636,f2645]) ).
fof(f18148,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,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls))),
inference(forward_demodulation,[],[f1994,f1316]) ).
fof(f18149,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,pls,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),
inference(forward_demodulation,[],[f18148,f1315]) ).
fof(f18150,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,pls,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),
inference(forward_demodulation,[],[f18149,f1316]) ).
fof(f18151,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),pls)))),
inference(forward_demodulation,[],[f18150,f2727]) ).
fof(f18152,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(forward_demodulation,[],[f18151,f2726]) ).
fof(f18153,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),pls)))))),
inference(forward_demodulation,[],[f18152,f2726]) ).
fof(f18154,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,number_number_of(int,one_one(int))))))),
inference(forward_demodulation,[],[f18153,f2726]) ).
fof(f18155,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int)))))),
inference(forward_demodulation,[],[f18154,f2787]) ).
fof(f18156,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,one_one(int))))),
inference(forward_demodulation,[],[f18155,f2787]) ).
fof(f18157,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,number_number_of(int,plus_plus(int,one_one(int),one_one(int)))),
inference(forward_demodulation,[],[f18156,f2787]) ).
fof(f21696,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,power_power(int,sK2,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,sK3,plus_plus(nat,one_one(nat),one_one(nat))))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f6465,f18157]) ).
fof(f21962,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) = plus_plus(int,power_power(int,sK0,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,sK1,plus_plus(nat,one_one(nat),one_one(nat))))
| ~ spl12_5 ),
inference(forward_demodulation,[],[f6511,f18157]) ).
fof(f30943,plain,
! [X0,X1] : plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))) != plus_plus(int,power_power(int,X0,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f5707,f18157]) ).
fof(f30944,plain,
( $false
| ~ spl12_5 ),
inference(backward_subsumption_resolution,[],[f21962,f30943]) ).
fof(f30951,plain,
~ spl12_5,
inference(avatar_contradiction_clause,[],[f30944]) ).
fof(f30961,plain,
( $false
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f21696,f30943]) ).
fof(f30962,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f30961]) ).
cnf(s4,plain,
( spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s5,plain,
( spl12_5
| ~ spl12_6 ),
inference(sat_conversion,[],[f2648]) ).
cnf(s117,plain,
( spl12_4
| spl12_6 ),
inference(sat_conversion,[],[f10862]) ).
cnf(s851,plain,
~ spl12_5,
inference(sat_conversion,[],[f30951]) ).
cnf(s854,plain,
~ spl12_3,
inference(sat_conversion,[],[f30962]) ).
cnf(s881,plain,
~ spl12_6,
inference(rat,[],[s5,s851]) ).
cnf(s884,plain,
spl12_4,
inference(rat,[],[s117,s881]) ).
cnf(s885,plain,
$false,
inference(rat,[],[s4,s884,s854]) ).
fof(f30980,plain,
$false,
inference(avatar_sat_refutation,[],[s885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:47:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 6.51/1.46 % (3240052)Will run a generic schedule for satisfiability detection.
% 6.51/1.46 % (3240060)dis+10_1_sil=32000:sp=arity:random_seed=2046761937:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.51/1.46 % (3240058)% WARNING: option uhcvi not known.
% 6.51/1.46 % (3240057)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=150840311_2999 on theBenchmark for (2999ds/0Mi)
% 6.51/1.46 % (3240058)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1508782792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.51/1.46 % (3240059)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3264838807:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.51/1.46 % (3240061)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1412892949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.51/1.46 % (3240062)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=627374923:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.51/1.46 % (3240063)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=940084353:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.51/1.46 % (3240060)Instruction limit reached!
% 6.51/1.46 % (3240060)------------------------------
% 6.51/1.46 % (3240060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240060)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240060)Termination reason: Instruction limit
% 6.51/1.46 % (3240060)Termination phase: Saturation
% 6.51/1.46 % (3240060)Time elapsed: 0.032 s
% 6.51/1.46 % (3240060)Peak memory usage: 13 MB
% 6.51/1.46 % (3240060)Instructions burned: 103 (million)
% 6.51/1.46 % (3240071)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2580837007:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.51/1.46 % (3240061)Instruction limit reached!
% 6.51/1.46 % (3240061)------------------------------
% 6.51/1.46 % (3240061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240061)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240061)Termination reason: Instruction limit
% 6.51/1.46 % (3240061)Termination phase: Saturation
% 6.51/1.46 % (3240061)Time elapsed: 0.059 s
% 6.51/1.46 % (3240061)Peak memory usage: 14 MB
% 6.51/1.46 % (3240061)Instructions burned: 117 (million)
% 6.51/1.46 % (3240062)Instruction limit reached!
% 6.51/1.46 % (3240062)------------------------------
% 6.51/1.46 % (3240062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240062)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240062)Termination reason: Instruction limit
% 6.51/1.46 % (3240062)Termination phase: Saturation
% 6.51/1.46 % (3240062)Time elapsed: 0.066 s
% 6.51/1.46 % (3240062)Peak memory usage: 13 MB
% 6.51/1.46 % (3240062)Instructions burned: 132 (million)
% 6.51/1.46 % (3240073)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3193083584:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.51/1.46 % (3240074)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=1768542692:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.51/1.46 % (3240063)Instruction limit reached!
% 6.51/1.46 % (3240063)------------------------------
% 6.51/1.46 % (3240063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240063)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240063)Termination reason: Instruction limit
% 6.51/1.46 % (3240063)Termination phase: Saturation
% 6.51/1.46 % (3240063)Time elapsed: 0.088 s
% 6.51/1.46 % (3240063)Peak memory usage: 14 MB
% 6.51/1.46 % (3240063)Instructions burned: 159 (million)
% 6.51/1.46 % (3240077)ott-21_1_sil=16000:fs=off:random_seed=1073979665:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.51/1.46 % (3240073)Instruction limit reached!
% 6.51/1.46 % (3240073)------------------------------
% 6.51/1.46 % (3240073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240073)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240073)Termination reason: Instruction limit
% 6.51/1.46 % (3240073)Termination phase: Saturation
% 6.51/1.46 % (3240073)Time elapsed: 0.070 s
% 6.51/1.46 % (3240073)Peak memory usage: 14 MB
% 6.51/1.46 % (3240073)Instructions burned: 131 (million)
% 6.51/1.46 % (3240079)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3308222689:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.51/1.46 % (3240077)Instruction limit reached!
% 6.51/1.46 % (3240077)------------------------------
% 6.51/1.46 % (3240077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240077)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240077)Termination reason: Instruction limit
% 6.51/1.46 % (3240077)Termination phase: Saturation
% 6.51/1.46 % (3240077)Time elapsed: 0.093 s
% 6.51/1.46 % (3240077)Peak memory usage: 14 MB
% 6.51/1.46 % (3240077)Instructions burned: 182 (million)
% 6.51/1.46 % (3240081)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2722137546:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.51/1.46 % (3240071)Instruction limit reached!
% 6.51/1.46 % (3240071)------------------------------
% 6.51/1.46 % (3240071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240071)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240071)Termination reason: Instruction limit
% 6.51/1.46 % (3240071)Termination phase: Finite model building preprocessing
% 6.51/1.46 % (3240071)Time elapsed: 0.186 s
% 6.51/1.46 % (3240071)Peak memory usage: 19 MB
% 6.51/1.46 % (3240071)Instructions burned: 715 (million)
% 6.51/1.46 % (3240083)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4142574858:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.51/1.46 % TRYING [1]
% 6.51/1.46 % TRYING [2]
% 6.51/1.46 % (3240079)Instruction limit reached!
% 6.51/1.46 % (3240079)------------------------------
% 6.51/1.46 % (3240079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240079)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240079)Termination reason: Instruction limit
% 6.51/1.46 % (3240079)Termination phase: Saturation
% 6.51/1.46 % (3240079)Time elapsed: 0.297 s
% 6.51/1.46 % (3240079)Peak memory usage: 15 MB
% 6.51/1.46 % (3240079)Instructions burned: 478 (million)
% 6.51/1.46 % (3240074)Instruction limit reached!
% 6.51/1.46 % (3240074)------------------------------
% 6.51/1.46 % (3240074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240074)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240074)Termination reason: Instruction limit
% 6.51/1.46 % (3240074)Termination phase: Saturation
% 6.51/1.46 % (3240074)Time elapsed: 0.386 s
% 6.51/1.46 % (3240074)Peak memory usage: 18 MB
% 6.51/1.46 % (3240074)Instructions burned: 685 (million)
% 6.51/1.46 % (3240085)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=539831105:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.51/1.46 % (3240086)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=2498154391:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.51/1.46 % TRYING [3]
% 6.51/1.46 % (3240083)Instruction limit reached!
% 6.51/1.46 % (3240083)------------------------------
% 6.51/1.46 % (3240083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240083)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240083)Termination reason: Instruction limit
% 6.51/1.46 % (3240083)Termination phase: Saturation
% 6.51/1.46 % (3240083)Time elapsed: 0.378 s
% 6.51/1.46 % (3240083)Peak memory usage: 22 MB
% 6.51/1.46 % (3240083)Instructions burned: 1181 (million)
% 6.51/1.46 % TRYING [1]
% 6.51/1.46 % (3240089)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=56192921:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.51/1.46 % (3240081)Instruction limit reached!
% 6.51/1.46 % (3240081)------------------------------
% 6.51/1.46 % (3240081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240081)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240081)Termination reason: Instruction limit
% 6.51/1.46 % (3240081)Termination phase: Finite model building SAT solving
% 6.51/1.46 % (3240081)Time elapsed: 0.418 s
% 6.51/1.46 % (3240081)Peak memory usage: 22 MB
% 6.51/1.46 % (3240081)Instructions burned: 867 (million)
% 6.51/1.46 % (3240091)fmb+10_1_sil=64000:random_seed=2924651045:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.51/1.46 % (3240089)Instruction limit reached!
% 6.51/1.46 % (3240089)------------------------------
% 6.51/1.46 % (3240089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240089)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240089)Termination reason: Instruction limit
% 6.51/1.46 % (3240089)Termination phase: Saturation
% 6.51/1.46 % (3240089)Time elapsed: 0.257 s
% 6.51/1.46 % (3240089)Peak memory usage: 20 MB
% 6.51/1.46 % (3240089)Instructions burned: 881 (million)
% 6.51/1.46 % (3240086)Instruction limit reached!
% 6.51/1.46 % (3240086)------------------------------
% 6.51/1.46 % (3240086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240086)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240086)Termination reason: Instruction limit
% 6.51/1.46 % (3240086)Termination phase: Saturation
% 6.51/1.46 % (3240086)Time elapsed: 0.399 s
% 6.51/1.46 % (3240086)Peak memory usage: 19 MB
% 6.51/1.46 % (3240086)Instructions burned: 692 (million)
% 6.51/1.46 % (3240093)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3519810164:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.51/1.46 % (3240095)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2871499780:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.51/1.46 % (3240085)Instruction limit reached!
% 6.51/1.46 % (3240085)------------------------------
% 6.51/1.46 % (3240085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240085)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240085)Termination reason: Instruction limit
% 6.51/1.46 % (3240085)Termination phase: Finite model building constraint generation
% 6.51/1.46 % (3240085)Time elapsed: 0.432 s
% 6.51/1.46 % (3240085)Peak memory usage: 31 MB
% 6.51/1.46 % (3240085)Instructions burned: 891 (million)
% 6.51/1.46 % (3240097)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2478536041:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 6.51/1.46 % (3240058) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3240052-3240058"...
% 6.51/1.46 % (3240058)...printing done.
% 6.51/1.46 % (3240058)Refutation found. Thanks to Tanya!
% 6.51/1.46 % SZS status Theorem for theBenchmark
% 6.51/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.51/1.46 % (3240058)------------------------------
% 6.51/1.46 % (3240058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.51/1.46 % (3240058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.46 % (3240058)CaDiCaL version: 2.1.3
% 6.51/1.46 % (3240058)Termination reason: Refutation
% 6.51/1.46 % (3240058)Time elapsed: 0.985 s
% 6.51/1.46 % (3240058)Peak memory usage: 24 MB
% 6.51/1.46 % (3240058)Instructions burned: 1735 (million)
% 6.51/1.46 % (3240052)Success in time 1.055 s
% 6.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------