TSTP Solution File: NUM960_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM960_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:43:59 EDT 2024
% Result : Theorem 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 243
% Syntax : Number of formulae : 662 ( 214 unt; 36 typ; 0 def)
% Number of atoms : 1411 ( 233 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1267 ( 482 ~; 453 |; 97 &)
% ( 209 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 21 ( 13 >; 8 *; 0 +; 0 <<)
% Number of predicates : 145 ( 143 usr; 129 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 619 ( 594 !; 7 ?; 619 :)
% ( 18 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > int ).
tff(func_def_7,type,
pls: int ).
tff(func_def_8,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_9,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
m: int ).
tff(func_def_13,type,
s1: int ).
tff(func_def_14,type,
s: int ).
tff(func_def_15,type,
t: int ).
tff(func_def_16,type,
sK0: int ).
tff(func_def_17,type,
sK1: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
zcong: ( int * int * int ) > $o ).
tff(pred_def_11,type,
zprime: int > $o ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
twoSqu1567020053sum2sq: int > $o ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f1454,plain,
$false,
inference(avatar_sat_refutation,[],[f533,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f613,f618,f623,f627,f631,f636,f641,f646,f651,f657,f661,f665,f670,f674,f679,f683,f687,f691,f695,f699,f709,f718,f722,f726,f730,f734,f738,f742,f746,f750,f754,f758,f762,f766,f770,f774,f778,f782,f786,f790,f794,f805,f827,f831,f835,f839,f843,f847,f851,f855,f860,f864,f868,f872,f876,f880,f884,f888,f892,f896,f943,f964,f968,f972,f976,f980,f984,f1063,f1067,f1072,f1076,f1080,f1084,f1088,f1092,f1096,f1100,f1104,f1108,f1112,f1163,f1172,f1179,f1184,f1188,f1197,f1204,f1210,f1215,f1242,f1247,f1256,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1301,f1305,f1309,f1313,f1317,f1321,f1436,f1443,f1450,f1453]) ).
tff(f1453,plain,
( spl2_97
| ~ spl2_27
| ~ spl2_67
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1452,f1447,f857,f659,f1160]) ).
tff(f1160,plain,
( spl2_97
<=> ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_97])]) ).
tff(f659,plain,
( spl2_27
<=> ! [X0: int] : ( number_number_of(int,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
tff(f857,plain,
( spl2_67
<=> ( bit1(pls) = one_one(int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).
tff(f1447,plain,
( spl2_128
<=> ord_less(int,s,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).
tff(f1452,plain,
( ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| ~ spl2_27
| ~ spl2_67
| ~ spl2_128 ),
inference(forward_demodulation,[],[f1451,f859]) ).
tff(f859,plain,
( ( bit1(pls) = one_one(int) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f857]) ).
tff(f1451,plain,
( ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))
| ~ spl2_27
| ~ spl2_128 ),
inference(forward_demodulation,[],[f1449,f660]) ).
tff(f660,plain,
( ! [X0: int] : ( number_number_of(int,X0) = X0 )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f659]) ).
tff(f1449,plain,
( ord_less(int,s,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f1447]) ).
tff(f1450,plain,
spl2_128,
inference(avatar_split_clause,[],[f334,f1447]) ).
tff(f334,plain,
ord_less(int,s,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
( zcong(s1,s,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,s,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),s) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_s0p) ).
tff(f1443,plain,
( ~ spl2_127
| ~ spl2_27
| ~ spl2_67
| spl2_126 ),
inference(avatar_split_clause,[],[f1438,f1433,f857,f659,f1440]) ).
tff(f1440,plain,
( spl2_127
<=> ord_less(int,t,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_127])]) ).
tff(f1433,plain,
( spl2_126
<=> ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).
tff(f1438,plain,
( ~ ord_less(int,t,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| ~ spl2_27
| ~ spl2_67
| spl2_126 ),
inference(forward_demodulation,[],[f1437,f859]) ).
tff(f1437,plain,
( ~ ord_less(int,t,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))
| ~ spl2_27
| spl2_126 ),
inference(forward_demodulation,[],[f1435,f660]) ).
tff(f1435,plain,
( ~ ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| spl2_126 ),
inference(avatar_component_clause,[],[f1433]) ).
tff(f1436,plain,
~ spl2_126,
inference(avatar_split_clause,[],[f328,f1433]) ).
tff(f328,plain,
~ ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
~ ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096_126_At_A_060_A4_A_K_Am_A_L_A1_096) ).
tff(f1321,plain,
spl2_125,
inference(avatar_split_clause,[],[f515,f1319]) ).
tff(f1319,plain,
( spl2_125
<=> ! [X0: int,X1: int] :
( ~ ord_less(int,pls,X1)
| ( one_one(int) = X1 )
| ( one_one(int) != times_times(int,X1,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_125])]) ).
tff(f515,plain,
! [X0: int,X1: int] :
( ~ ord_less(int,pls,X1)
| ( one_one(int) = X1 )
| ( one_one(int) != times_times(int,X1,X0) ) ),
inference(forward_demodulation,[],[f429,f324]) ).
tff(f324,plain,
zero_zero(int) = pls,
inference(cnf_transformation,[],[f84]) ).
tff(f84,axiom,
zero_zero(int) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Pls__def) ).
tff(f429,plain,
! [X0: int,X1: int] :
( ( one_one(int) = X1 )
| ( one_one(int) != times_times(int,X1,X0) )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(cnf_transformation,[],[f281]) ).
tff(f281,plain,
! [X0: int,X1: int] :
( ( ( ( one_one(int) = times_times(int,X1,X0) )
| ( one_one(int) != X0 )
| ( one_one(int) != X1 ) )
& ( ( ( one_one(int) = X0 )
& ( one_one(int) = X1 ) )
| ( one_one(int) != times_times(int,X1,X0) ) ) )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(flattening,[],[f280]) ).
tff(f280,plain,
! [X0: int,X1: int] :
( ( ( ( one_one(int) = times_times(int,X1,X0) )
| ( one_one(int) != X0 )
| ( one_one(int) != X1 ) )
& ( ( ( one_one(int) = X0 )
& ( one_one(int) = X1 ) )
| ( one_one(int) != times_times(int,X1,X0) ) ) )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(nnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: int,X1: int] :
( ( ( one_one(int) = times_times(int,X1,X0) )
<=> ( ( one_one(int) = X0 )
& ( one_one(int) = X1 ) ) )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(ennf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: int,X1: int] :
( ord_less(int,zero_zero(int),X1)
=> ( ( one_one(int) = times_times(int,X1,X0) )
<=> ( ( one_one(int) = X0 )
& ( one_one(int) = X1 ) ) ) ),
inference(rectify,[],[f87]) ).
tff(f87,axiom,
! [X24: int,X25: int] :
( ord_less(int,zero_zero(int),X25)
=> ( ( one_one(int) = times_times(int,X25,X24) )
<=> ( ( one_one(int) = X24 )
& ( one_one(int) = X25 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_pos__zmult__eq__1__iff) ).
tff(f1317,plain,
spl2_124,
inference(avatar_split_clause,[],[f514,f1315]) ).
tff(f1315,plain,
( spl2_124
<=> ! [X0: int,X1: int] :
( ~ ord_less(int,pls,X1)
| ( one_one(int) = X0 )
| ( one_one(int) != times_times(int,X1,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).
tff(f514,plain,
! [X0: int,X1: int] :
( ~ ord_less(int,pls,X1)
| ( one_one(int) = X0 )
| ( one_one(int) != times_times(int,X1,X0) ) ),
inference(forward_demodulation,[],[f430,f324]) ).
tff(f430,plain,
! [X0: int,X1: int] :
( ( one_one(int) = X0 )
| ( one_one(int) != times_times(int,X1,X0) )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(cnf_transformation,[],[f281]) ).
tff(f1313,plain,
spl2_123,
inference(avatar_split_clause,[],[f511,f1311]) ).
tff(f1311,plain,
( spl2_123
<=> ! [X0: int] :
( ~ ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),pls)
| ord_less(int,X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_123])]) ).
tff(f511,plain,
! [X0: int] :
( ~ ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),pls)
| ord_less(int,X0,pls) ),
inference(forward_demodulation,[],[f510,f324]) ).
tff(f510,plain,
! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int)) ),
inference(forward_demodulation,[],[f417,f324]) ).
tff(f417,plain,
! [X0: int] :
( ord_less(int,X0,zero_zero(int))
| ~ ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int)) ),
inference(cnf_transformation,[],[f279]) ).
tff(f279,plain,
! [X0: int] :
( ( ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int))
| ~ ord_less(int,X0,zero_zero(int)) )
& ( ord_less(int,X0,zero_zero(int))
| ~ ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int)) ) ),
inference(nnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: int] :
( ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int))
<=> ord_less(int,X0,zero_zero(int)) ),
inference(rectify,[],[f88]) ).
tff(f88,axiom,
! [X15: int] :
( ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X15),X15),zero_zero(int))
<=> ord_less(int,X15,zero_zero(int)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_odd__less__0__iff) ).
tff(f1309,plain,
spl2_122,
inference(avatar_split_clause,[],[f509,f1307]) ).
tff(f1307,plain,
( spl2_122
<=> ! [X0: int] :
( ~ ord_less(int,X0,pls)
| ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_122])]) ).
tff(f509,plain,
! [X0: int] :
( ~ ord_less(int,X0,pls)
| ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),pls) ),
inference(forward_demodulation,[],[f508,f324]) ).
tff(f508,plain,
! [X0: int] :
( ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),pls)
| ~ ord_less(int,X0,zero_zero(int)) ),
inference(forward_demodulation,[],[f418,f324]) ).
tff(f418,plain,
! [X0: int] :
( ord_less(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0),zero_zero(int))
| ~ ord_less(int,X0,zero_zero(int)) ),
inference(cnf_transformation,[],[f279]) ).
tff(f1305,plain,
spl2_121,
inference(avatar_split_clause,[],[f467,f1303]) ).
tff(f1303,plain,
( spl2_121
<=> ! [X0: int,X1: int] :
( ( X0 = X1 )
| ord_less(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_121])]) ).
tff(f467,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ord_less(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ),
inference(cnf_transformation,[],[f301]) ).
tff(f301,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ( ( X0 != X1 )
& ~ ord_less(int,X1,X0) ) )
& ( ( X0 = X1 )
| ord_less(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
inference(flattening,[],[f300]) ).
tff(f300,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ( ( X0 != X1 )
& ~ ord_less(int,X1,X0) ) )
& ( ( X0 = X1 )
| ord_less(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
inference(nnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
<=> ( ( X0 = X1 )
| ord_less(int,X1,X0) ) ),
inference(rectify,[],[f94]) ).
tff(f94,axiom,
! [X15: int,X16: int] :
( ord_less(int,X16,plus_plus(int,X15,one_one(int)))
<=> ( ( X15 = X16 )
| ord_less(int,X16,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_zless__add1__eq) ).
tff(f1301,plain,
( ~ spl2_120
| ~ spl2_94
| spl2_97 ),
inference(avatar_split_clause,[],[f1199,f1160,f1102,f1298]) ).
tff(f1298,plain,
( spl2_120
<=> ord_less_eq(int,s,times_times(int,bit0(bit0(one_one(int))),m)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).
tff(f1102,plain,
( spl2_94
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_94])]) ).
tff(f1199,plain,
( ~ ord_less_eq(int,s,times_times(int,bit0(bit0(one_one(int))),m))
| ~ spl2_94
| spl2_97 ),
inference(resolution,[],[f1162,f1103]) ).
tff(f1103,plain,
( ! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f1102]) ).
tff(f1162,plain,
( ~ ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| spl2_97 ),
inference(avatar_component_clause,[],[f1160]) ).
tff(f1296,plain,
spl2_119,
inference(avatar_split_clause,[],[f378,f1294]) ).
tff(f1294,plain,
( spl2_119
<=> ! [X0: $tType,X1: int] :
( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less(int,X1,pls)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).
tff(f378,plain,
! [X0: $tType,X1: int] :
( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less(int,X1,pls)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f261]) ).
tff(f261,plain,
! [X0: $tType] :
( ! [X1: int] :
( ( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less(int,X1,pls) )
& ( ord_less(int,X1,pls)
| ~ ord_less(X0,number_number_of(X0,X1),zero_zero(X0)) ) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(nnf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less(int,X1,pls) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(flattening,[],[f226]) ).
tff(f226,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less(int,X1,pls) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X1: int] :
( ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less(int,X1,pls) ) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X4: int] :
( ord_less(X0,number_number_of(X0,X4),zero_zero(X0))
<=> ord_less(int,X4,pls) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_less__special_I3_J) ).
tff(f1292,plain,
spl2_118,
inference(avatar_split_clause,[],[f377,f1290]) ).
tff(f1290,plain,
( spl2_118
<=> ! [X0: $tType,X1: int] :
( ord_less(int,X1,pls)
| ~ ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_118])]) ).
tff(f377,plain,
! [X0: $tType,X1: int] :
( ord_less(int,X1,pls)
| ~ ord_less(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f261]) ).
tff(f1288,plain,
spl2_117,
inference(avatar_split_clause,[],[f374,f1286]) ).
tff(f1286,plain,
( spl2_117
<=> ! [X0: $tType,X1: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less(int,pls,X1)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_117])]) ).
tff(f374,plain,
! [X0: $tType,X1: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less(int,pls,X1)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f259]) ).
tff(f259,plain,
! [X0: $tType] :
( ! [X1: int] :
( ( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less(int,pls,X1) )
& ( ord_less(int,pls,X1)
| ~ ord_less(X0,zero_zero(X0),number_number_of(X0,X1)) ) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(nnf_transformation,[],[f223]) ).
tff(f223,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less(int,pls,X1) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(flattening,[],[f222]) ).
tff(f222,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less(int,pls,X1) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X1: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less(int,pls,X1) ) ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X3: int] :
( ord_less(X0,zero_zero(X0),number_number_of(X0,X3))
<=> ord_less(int,pls,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_less__special_I1_J) ).
tff(f1284,plain,
spl2_116,
inference(avatar_split_clause,[],[f373,f1282]) ).
tff(f1282,plain,
( spl2_116
<=> ! [X0: $tType,X1: int] :
( ord_less(int,pls,X1)
| ~ ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_116])]) ).
tff(f373,plain,
! [X0: $tType,X1: int] :
( ord_less(int,pls,X1)
| ~ ord_less(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f259]) ).
tff(f1280,plain,
spl2_115,
inference(avatar_split_clause,[],[f370,f1278]) ).
tff(f1278,plain,
( spl2_115
<=> ! [X0: $tType,X1: int] :
( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less_eq(int,X1,pls)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_115])]) ).
tff(f370,plain,
! [X0: $tType,X1: int] :
( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less_eq(int,X1,pls)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f257]) ).
tff(f257,plain,
! [X0: $tType] :
( ! [X1: int] :
( ( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ ord_less_eq(int,X1,pls) )
& ( ord_less_eq(int,X1,pls)
| ~ ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0)) ) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(nnf_transformation,[],[f219]) ).
tff(f219,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less_eq(int,X1,pls) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(flattening,[],[f218]) ).
tff(f218,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less_eq(int,X1,pls) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X1: int] :
( ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
<=> ord_less_eq(int,X1,pls) ) ),
inference(rectify,[],[f67]) ).
tff(f67,axiom,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X4: int] :
( ord_less_eq(X0,number_number_of(X0,X4),zero_zero(X0))
<=> ord_less_eq(int,X4,pls) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_le__special_I3_J) ).
tff(f1276,plain,
spl2_114,
inference(avatar_split_clause,[],[f369,f1274]) ).
tff(f1274,plain,
( spl2_114
<=> ! [X0: $tType,X1: int] :
( ord_less_eq(int,X1,pls)
| ~ ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_114])]) ).
tff(f369,plain,
! [X0: $tType,X1: int] :
( ord_less_eq(int,X1,pls)
| ~ ord_less_eq(X0,number_number_of(X0,X1),zero_zero(X0))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f257]) ).
tff(f1272,plain,
spl2_113,
inference(avatar_split_clause,[],[f366,f1270]) ).
tff(f1270,plain,
( spl2_113
<=> ! [X0: $tType,X1: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less_eq(int,pls,X1)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_113])]) ).
tff(f366,plain,
! [X0: $tType,X1: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less_eq(int,pls,X1)
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f255]) ).
tff(f255,plain,
! [X0: $tType] :
( ! [X1: int] :
( ( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ ord_less_eq(int,pls,X1) )
& ( ord_less_eq(int,pls,X1)
| ~ ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1)) ) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(nnf_transformation,[],[f215]) ).
tff(f215,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less_eq(int,pls,X1) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(flattening,[],[f214]) ).
tff(f214,plain,
! [X0: $tType] :
( ! [X1: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less_eq(int,pls,X1) )
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X1: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
<=> ord_less_eq(int,pls,X1) ) ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X0: $tType] :
( ( linordered_idom(X0)
& number_ring(X0) )
=> ! [X3: int] :
( ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X3))
<=> ord_less_eq(int,pls,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_le__special_I1_J) ).
tff(f1268,plain,
spl2_112,
inference(avatar_split_clause,[],[f365,f1266]) ).
tff(f1266,plain,
( spl2_112
<=> ! [X0: $tType,X1: int] :
( ord_less_eq(int,pls,X1)
| ~ ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_112])]) ).
tff(f365,plain,
! [X0: $tType,X1: int] :
( ord_less_eq(int,pls,X1)
| ~ ord_less_eq(X0,zero_zero(X0),number_number_of(X0,X1))
| ~ linordered_idom(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f255]) ).
tff(f1264,plain,
spl2_111,
inference(avatar_split_clause,[],[f348,f1262]) ).
tff(f1262,plain,
( spl2_111
<=> ! [X0: $tType,X1: X0] :
( ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
| ~ ord_less(X0,X1,zero_zero(X0))
| ~ linordered_idom(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_111])]) ).
tff(f348,plain,
! [X0: $tType,X1: X0] :
( ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
| ~ ord_less(X0,X1,zero_zero(X0))
| ~ linordered_idom(X0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f252,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ( ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
| ~ ord_less(X0,X1,zero_zero(X0)) )
& ( ord_less(X0,X1,zero_zero(X0))
| ~ ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0)) ) )
| ~ linordered_idom(X0) ),
inference(nnf_transformation,[],[f198]) ).
tff(f198,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
<=> ord_less(X0,X1,zero_zero(X0)) )
| ~ linordered_idom(X0) ),
inference(ennf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X1: X0] :
( ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
<=> ord_less(X0,X1,zero_zero(X0)) ) ),
inference(rectify,[],[f75]) ).
tff(f75,axiom,
! [X0: $tType] :
( linordered_idom(X0)
=> ! [X9: X0] :
( ord_less(X0,plus_plus(X0,X9,X9),zero_zero(X0))
<=> ord_less(X0,X9,zero_zero(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_even__less__0__iff) ).
tff(f1260,plain,
spl2_110,
inference(avatar_split_clause,[],[f347,f1258]) ).
tff(f1258,plain,
( spl2_110
<=> ! [X0: $tType,X1: X0] :
( ord_less(X0,X1,zero_zero(X0))
| ~ ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
| ~ linordered_idom(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_110])]) ).
tff(f347,plain,
! [X0: $tType,X1: X0] :
( ord_less(X0,X1,zero_zero(X0))
| ~ ord_less(X0,plus_plus(X0,X1,X1),zero_zero(X0))
| ~ linordered_idom(X0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f1256,plain,
( ~ spl2_109
| ~ spl2_95
| spl2_97 ),
inference(avatar_split_clause,[],[f1198,f1160,f1106,f1253]) ).
tff(f1253,plain,
( spl2_109
<=> ord_less(int,s,times_times(int,bit0(bit0(one_one(int))),m)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_109])]) ).
tff(f1106,plain,
( spl2_95
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).
tff(f1198,plain,
( ~ ord_less(int,s,times_times(int,bit0(bit0(one_one(int))),m))
| ~ spl2_95
| spl2_97 ),
inference(resolution,[],[f1162,f1107]) ).
tff(f1107,plain,
( ! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f1106]) ).
tff(f1247,plain,
( spl2_108
| ~ spl2_67
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f1211,f1207,f857,f1244]) ).
tff(f1244,plain,
( spl2_108
<=> ord_less(int,sK1,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_108])]) ).
tff(f1207,plain,
( spl2_105
<=> ord_less(int,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_105])]) ).
tff(f1211,plain,
( ord_less(int,sK1,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| ~ spl2_67
| ~ spl2_105 ),
inference(forward_demodulation,[],[f1209,f859]) ).
tff(f1209,plain,
( ord_less(int,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f1207]) ).
tff(f1242,plain,
( spl2_107
| ~ spl2_67
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1205,f1201,f857,f1239]) ).
tff(f1239,plain,
( spl2_107
<=> zcong(s1,sK1,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_107])]) ).
tff(f1201,plain,
( spl2_104
<=> zcong(s1,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_104])]) ).
tff(f1205,plain,
( zcong(s1,sK1,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| ~ spl2_67
| ~ spl2_104 ),
inference(forward_demodulation,[],[f1203,f859]) ).
tff(f1203,plain,
( zcong(s1,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f1201]) ).
tff(f1215,plain,
( spl2_106
| ~ spl2_67
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1180,f1177,f857,f1213]) ).
tff(f1213,plain,
( spl2_106
<=> ! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(one_one(int))) )
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_106])]) ).
tff(f1177,plain,
( spl2_99
<=> ! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(bit1(pls))) )
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_99])]) ).
tff(f1180,plain,
( ! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(one_one(int))) )
| ~ number_ring(X0) )
| ~ spl2_67
| ~ spl2_99 ),
inference(forward_demodulation,[],[f1178,f859]) ).
tff(f1178,plain,
( ! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(bit1(pls))) )
| ~ number_ring(X0) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f1177]) ).
tff(f1210,plain,
spl2_105,
inference(avatar_split_clause,[],[f527,f1207]) ).
tff(f527,plain,
ord_less(int,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(forward_demodulation,[],[f474,f341]) ).
tff(f341,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f91]) ).
tff(f91,axiom,
! [X6: int] : ( number_number_of(int,X6) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_number__of__is__id) ).
tff(f474,plain,
ord_less(int,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f304]) ).
tff(f304,plain,
( ! [X1: int] :
( ( sK1 = X1 )
| ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less_eq(int,zero_zero(int),X1) )
& zcong(s1,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f248,f303]) ).
tff(f303,plain,
( ? [X0: int] :
( ! [X1: int] :
( ( X0 = X1 )
| ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less_eq(int,zero_zero(int),X1) )
& zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) )
=> ( ! [X1: int] :
( ( sK1 = X1 )
| ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less_eq(int,zero_zero(int),X1) )
& zcong(s1,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f248,plain,
? [X0: int] :
( ! [X1: int] :
( ( X0 = X1 )
| ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less_eq(int,zero_zero(int),X1) )
& zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) ),
inference(flattening,[],[f247]) ).
tff(f247,plain,
? [X0: int] :
( ! [X1: int] :
( ( X0 = X1 )
| ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| ~ ord_less_eq(int,zero_zero(int),X1) )
& zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) ),
inference(ennf_transformation,[],[f193]) ).
tff(f193,plain,
? [X0: int] :
( ! [X1: int] :
( ( zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X1) )
=> ( X0 = X1 ) )
& zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) ),
inference(rectify,[],[f72]) ).
tff(f72,axiom,
? [X18: int] :
( ! [X19: int] :
( ( zcong(s1,X19,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X19,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X19) )
=> ( X18 = X19 ) )
& zcong(s1,X18,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X18,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1_A_061_As_093_A_Imod_A4_A_K_Am_A_L_A1_J_096) ).
tff(f1204,plain,
spl2_104,
inference(avatar_split_clause,[],[f526,f1201]) ).
tff(f526,plain,
zcong(s1,sK1,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(forward_demodulation,[],[f475,f341]) ).
tff(f475,plain,
zcong(s1,sK1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f304]) ).
tff(f1197,plain,
( spl2_102
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f513,f1194,f1190]) ).
tff(f1190,plain,
( spl2_102
<=> ( one_one(int) = times_times(int,one_one(int),one_one(int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_102])]) ).
tff(f1194,plain,
( spl2_103
<=> ord_less(int,pls,one_one(int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).
tff(f513,plain,
( ~ ord_less(int,pls,one_one(int))
| ( one_one(int) = times_times(int,one_one(int),one_one(int)) ) ),
inference(forward_demodulation,[],[f484,f324]) ).
tff(f484,plain,
( ( one_one(int) = times_times(int,one_one(int),one_one(int)) )
| ~ ord_less(int,zero_zero(int),one_one(int)) ),
inference(equality_resolution,[],[f483]) ).
tff(f483,plain,
! [X1: int] :
( ( one_one(int) = times_times(int,X1,one_one(int)) )
| ( one_one(int) != X1 )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(equality_resolution,[],[f431]) ).
tff(f431,plain,
! [X0: int,X1: int] :
( ( one_one(int) = times_times(int,X1,X0) )
| ( one_one(int) != X0 )
| ( one_one(int) != X1 )
| ~ ord_less(int,zero_zero(int),X1) ),
inference(cnf_transformation,[],[f281]) ).
tff(f1188,plain,
spl2_101,
inference(avatar_split_clause,[],[f512,f1186]) ).
tff(f1186,plain,
( spl2_101
<=> ! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,times_times(int,bit0(X1),X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).
tff(f512,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,times_times(int,bit0(X1),X0),X0) ),
inference(forward_demodulation,[],[f428,f421]) ).
tff(f421,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_mult__Bit0) ).
tff(f428,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(cnf_transformation,[],[f171]) ).
tff(f171,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X5: int,X6: int] : ( times_times(int,bit1(X6),X5) = plus_plus(int,bit0(times_times(int,X6,X5)),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_mult__Bit1) ).
tff(f1184,plain,
spl2_100,
inference(avatar_split_clause,[],[f363,f1182]) ).
tff(f1182,plain,
( spl2_100
<=> ! [X0: $tType,X2: int,X1: int] :
( ( X1 = X2 )
| ( number_number_of(X0,X1) != number_number_of(X0,X2) )
| ~ ring_char_0(X0)
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_100])]) ).
tff(f363,plain,
! [X0: $tType,X2: int,X1: int] :
( ( X1 = X2 )
| ( number_number_of(X0,X1) != number_number_of(X0,X2) )
| ~ ring_char_0(X0)
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ( ( number_number_of(X0,X1) = number_number_of(X0,X2) )
| ( X1 != X2 ) )
& ( ( X1 = X2 )
| ( number_number_of(X0,X1) != number_number_of(X0,X2) ) ) )
| ~ ring_char_0(X0)
| ~ number_ring(X0) ),
inference(nnf_transformation,[],[f213]) ).
tff(f213,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ( number_number_of(X0,X1) = number_number_of(X0,X2) )
<=> ( X1 = X2 ) )
| ~ ring_char_0(X0)
| ~ number_ring(X0) ),
inference(flattening,[],[f212]) ).
tff(f212,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ( number_number_of(X0,X1) = number_number_of(X0,X2) )
<=> ( X1 = X2 ) )
| ~ ring_char_0(X0)
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $tType] :
( ( ring_char_0(X0)
& number_ring(X0) )
=> ! [X1: int,X2: int] :
( ( number_number_of(X0,X1) = number_number_of(X0,X2) )
<=> ( X1 = X2 ) ) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X0: $tType] :
( ( ring_char_0(X0)
& number_ring(X0) )
=> ! [X3: int,X4: int] :
( ( number_number_of(X0,X3) = number_number_of(X0,X4) )
<=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_eq__number__of) ).
tff(f1179,plain,
spl2_99,
inference(avatar_split_clause,[],[f351,f1177]) ).
tff(f351,plain,
! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(bit1(pls))) )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0: $tType] :
( ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(bit1(pls))) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( plus_plus(X0,one_one(X0),one_one(X0)) = number_number_of(X0,bit0(bit1(pls))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_one__add__one__is__two) ).
tff(f1172,plain,
spl2_98,
inference(avatar_split_clause,[],[f345,f1170]) ).
tff(f1170,plain,
( spl2_98
<=> ! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = X1 )
| ( zero_zero(X0) != plus_plus(X0,X1,X1) )
| ~ linord219039673up_add(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).
tff(f345,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = X1 )
| ( zero_zero(X0) != plus_plus(X0,X1,X1) )
| ~ linord219039673up_add(X0) ),
inference(cnf_transformation,[],[f251]) ).
tff(f251,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
| ( zero_zero(X0) != X1 ) )
& ( ( zero_zero(X0) = X1 )
| ( zero_zero(X0) != plus_plus(X0,X1,X1) ) ) )
| ~ linord219039673up_add(X0) ),
inference(nnf_transformation,[],[f197]) ).
tff(f197,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
<=> ( zero_zero(X0) = X1 ) )
| ~ linord219039673up_add(X0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: $tType] :
( linord219039673up_add(X0)
=> ! [X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
<=> ( zero_zero(X0) = X1 ) ) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X0: $tType] :
( linord219039673up_add(X0)
=> ! [X9: X0] :
( ( plus_plus(X0,X9,X9) = zero_zero(X0) )
<=> ( zero_zero(X0) = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_double__eq__0__iff) ).
tff(f1163,plain,
( ~ spl2_97
| spl2_26
| ~ spl2_67
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1154,f1094,f857,f654,f1160]) ).
tff(f654,plain,
( spl2_26
<=> ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
tff(f1094,plain,
( spl2_92
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).
tff(f1154,plain,
( ~ ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)))
| spl2_26
| ~ spl2_67
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1152,f859]) ).
tff(f1152,plain,
( ~ ord_less(int,s,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)))
| spl2_26
| ~ spl2_92 ),
inference(resolution,[],[f1095,f656]) ).
tff(f656,plain,
( ~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int)))
| spl2_26 ),
inference(avatar_component_clause,[],[f654]) ).
tff(f1095,plain,
( ! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f1094]) ).
tff(f1112,plain,
spl2_96,
inference(avatar_split_clause,[],[f497,f1110]) ).
tff(f1110,plain,
( spl2_96
<=> ! [X0: int] :
( ~ ord_less_eq(int,pls,X0)
| ord_less(int,pls,plus_plus(int,one_one(int),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_96])]) ).
tff(f497,plain,
! [X0: int] :
( ~ ord_less_eq(int,pls,X0)
| ord_less(int,pls,plus_plus(int,one_one(int),X0)) ),
inference(forward_demodulation,[],[f496,f324]) ).
tff(f496,plain,
! [X0: int] :
( ord_less(int,pls,plus_plus(int,one_one(int),X0))
| ~ ord_less_eq(int,zero_zero(int),X0) ),
inference(forward_demodulation,[],[f362,f324]) ).
tff(f362,plain,
! [X0: int] :
( ord_less(int,zero_zero(int),plus_plus(int,one_one(int),X0))
| ~ ord_less_eq(int,zero_zero(int),X0) ),
inference(cnf_transformation,[],[f211]) ).
tff(f211,plain,
! [X0: int] :
( ord_less(int,zero_zero(int),plus_plus(int,one_one(int),X0))
| ~ ord_less_eq(int,zero_zero(int),X0) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: int] :
( ord_less_eq(int,zero_zero(int),X0)
=> ord_less(int,zero_zero(int),plus_plus(int,one_one(int),X0)) ),
inference(rectify,[],[f97]) ).
tff(f97,axiom,
! [X14: int] :
( ord_less_eq(int,zero_zero(int),X14)
=> ord_less(int,zero_zero(int),plus_plus(int,one_one(int),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_le__imp__0__less) ).
tff(f1108,plain,
spl2_95,
inference(avatar_split_clause,[],[f468,f1106]) ).
tff(f468,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f301]) ).
tff(f1104,plain,
spl2_94,
inference(avatar_split_clause,[],[f466,f1102]) ).
tff(f466,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
inference(nnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X15: int,X16: int] :
( ord_less(int,X16,plus_plus(int,X15,one_one(int)))
<=> ord_less_eq(int,X16,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_zle__add1__eq__le) ).
tff(f1100,plain,
spl2_93,
inference(avatar_split_clause,[],[f465,f1098]) ).
tff(f1098,plain,
( spl2_93
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_93])]) ).
tff(f465,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ),
inference(cnf_transformation,[],[f299]) ).
tff(f1096,plain,
spl2_92,
inference(avatar_split_clause,[],[f464,f1094]) ).
tff(f464,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f298]) ).
tff(f298,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less_eq(int,X1,minus_minus(int,X0,one_one(int))) ) ),
inference(nnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f64]) ).
tff(f64,axiom,
! [X15: int,X16: int] :
( ord_less_eq(int,X16,minus_minus(int,X15,one_one(int)))
<=> ord_less(int,X16,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_zle__diff1__eq) ).
tff(f1092,plain,
spl2_91,
inference(avatar_split_clause,[],[f463,f1090]) ).
tff(f1090,plain,
( spl2_91
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less_eq(int,X1,minus_minus(int,X0,one_one(int))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_91])]) ).
tff(f463,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less_eq(int,X1,minus_minus(int,X0,one_one(int))) ),
inference(cnf_transformation,[],[f298]) ).
tff(f1088,plain,
spl2_90,
inference(avatar_split_clause,[],[f427,f1086]) ).
tff(f1086,plain,
( spl2_90
<=> ! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_90])]) ).
tff(f427,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit0(X6),bit0(X5)) = bit0(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_add__Bit0__Bit0) ).
tff(f1084,plain,
spl2_89,
inference(avatar_split_clause,[],[f426,f1082]) ).
tff(f1082,plain,
( spl2_89
<=> ! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_89])]) ).
tff(f426,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f169]) ).
tff(f169,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),bit0(X0)) ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit1(X6),bit0(X5)) = bit1(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_add__Bit1__Bit0) ).
tff(f1080,plain,
spl2_88,
inference(avatar_split_clause,[],[f425,f1078]) ).
tff(f1078,plain,
( spl2_88
<=> ! [X0: int,X1: int] : ( minus_minus(int,bit1(X1),bit0(X0)) = bit1(minus_minus(int,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).
tff(f425,plain,
! [X0: int,X1: int] : ( minus_minus(int,bit1(X1),bit0(X0)) = bit1(minus_minus(int,X1,X0)) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: int,X1: int] : ( minus_minus(int,bit1(X1),bit0(X0)) = bit1(minus_minus(int,X1,X0)) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X5: int,X6: int] : ( minus_minus(int,bit1(X6),bit0(X5)) = bit1(minus_minus(int,X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_diff__bin__simps_I9_J) ).
tff(f1076,plain,
spl2_87,
inference(avatar_split_clause,[],[f424,f1074]) ).
tff(f1074,plain,
( spl2_87
<=> ! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit1(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).
tff(f424,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit1(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit1(X1),bit1(X0)) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X5: int,X6: int] : ( minus_minus(int,bit1(X6),bit1(X5)) = bit0(minus_minus(int,X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_diff__bin__simps_I10_J) ).
tff(f1072,plain,
( ~ spl2_86
| spl2_26
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f898,f857,f654,f1069]) ).
tff(f1069,plain,
( spl2_86
<=> ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).
tff(f898,plain,
( ~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(one_one(int))),m),one_one(int)),one_one(int)))
| spl2_26
| ~ spl2_67 ),
inference(superposition,[],[f656,f859]) ).
tff(f1067,plain,
spl2_85,
inference(avatar_split_clause,[],[f423,f1065]) ).
tff(f1065,plain,
( spl2_85
<=> ! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_85])]) ).
tff(f423,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X5: int,X6: int] : ( bit0(minus_minus(int,X6,X5)) = minus_minus(int,bit0(X6),bit0(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_diff__bin__simps_I7_J) ).
tff(f1063,plain,
spl2_84,
inference(avatar_split_clause,[],[f422,f1061]) ).
tff(f1061,plain,
( spl2_84
<=> ! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).
tff(f422,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X5: int,X6: int] : ( bit1(plus_plus(int,X6,X5)) = plus_plus(int,bit0(X6),bit1(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_add__Bit0__Bit1) ).
tff(f984,plain,
spl2_83,
inference(avatar_split_clause,[],[f517,f982]) ).
tff(f982,plain,
( spl2_83
<=> ! [X0: int,X1: int] :
( ord_less(int,minus_minus(int,X1,X0),pls)
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_83])]) ).
tff(f517,plain,
! [X0: int,X1: int] :
( ord_less(int,minus_minus(int,X1,X0),pls)
| ~ ord_less(int,X1,X0) ),
inference(forward_demodulation,[],[f432,f324]) ).
tff(f432,plain,
! [X0: int,X1: int] :
( ord_less(int,minus_minus(int,X1,X0),zero_zero(int))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ~ ord_less(int,minus_minus(int,X1,X0),zero_zero(int)) )
& ( ord_less(int,minus_minus(int,X1,X0),zero_zero(int))
| ~ ord_less(int,X1,X0) ) ),
inference(nnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
<=> ord_less(int,minus_minus(int,X1,X0),zero_zero(int)) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X7: int,X8: int] :
( ord_less(int,X8,X7)
<=> ord_less(int,minus_minus(int,X8,X7),zero_zero(int)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_less__bin__lemma) ).
tff(f980,plain,
spl2_82,
inference(avatar_split_clause,[],[f516,f978]) ).
tff(f978,plain,
( spl2_82
<=> ! [X0: int,X1: int] :
( ~ ord_less(int,minus_minus(int,X1,X0),pls)
| ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_82])]) ).
tff(f516,plain,
! [X0: int,X1: int] :
( ~ ord_less(int,minus_minus(int,X1,X0),pls)
| ord_less(int,X1,X0) ),
inference(forward_demodulation,[],[f433,f324]) ).
tff(f433,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,minus_minus(int,X1,X0),zero_zero(int)) ),
inference(cnf_transformation,[],[f282]) ).
tff(f976,plain,
spl2_81,
inference(avatar_split_clause,[],[f477,f974]) ).
tff(f974,plain,
( spl2_81
<=> ! [X0: $tType] :
( ( zero_zero(X0) = plus_plus(X0,zero_zero(X0),zero_zero(X0)) )
| ~ linord219039673up_add(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).
tff(f477,plain,
! [X0: $tType] :
( ( zero_zero(X0) = plus_plus(X0,zero_zero(X0),zero_zero(X0)) )
| ~ linord219039673up_add(X0) ),
inference(equality_resolution,[],[f346]) ).
tff(f346,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
| ( zero_zero(X0) != X1 )
| ~ linord219039673up_add(X0) ),
inference(cnf_transformation,[],[f251]) ).
tff(f972,plain,
spl2_80,
inference(avatar_split_clause,[],[f436,f970]) ).
tff(f970,plain,
( spl2_80
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_80])]) ).
tff(f436,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
tff(f284,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(flattening,[],[f283]) ).
tff(f283,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(nnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
<=> ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) ) ),
inference(rectify,[],[f83]) ).
tff(f83,axiom,
! [X16: int,X15: int] :
( ord_less(int,X15,X16)
<=> ( ( X15 != X16 )
& ord_less_eq(int,X15,X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_less__int__def) ).
tff(f968,plain,
spl2_79,
inference(avatar_split_clause,[],[f421,f966]) ).
tff(f966,plain,
( spl2_79
<=> ! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).
tff(f964,plain,
spl2_78,
inference(avatar_split_clause,[],[f344,f962]) ).
tff(f962,plain,
( spl2_78
<=> ! [X0: int] : ( minus_minus(int,pls,bit0(X0)) = bit0(minus_minus(int,pls,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).
tff(f344,plain,
! [X0: int] : ( minus_minus(int,pls,bit0(X0)) = bit0(minus_minus(int,pls,X0)) ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: int] : ( minus_minus(int,pls,bit0(X0)) = bit0(minus_minus(int,pls,X0)) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X5: int] : ( minus_minus(int,pls,bit0(X5)) = bit0(minus_minus(int,pls,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_diff__bin__simps_I3_J) ).
tff(f943,plain,
( ~ spl2_77
| ~ spl2_20
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f899,f857,f625,f940]) ).
tff(f940,plain,
( spl2_77
<=> ( pls = one_one(int) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).
tff(f625,plain,
( spl2_20
<=> ! [X0: int] : ( pls != bit1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
tff(f899,plain,
( ( pls != one_one(int) )
| ~ spl2_20
| ~ spl2_67 ),
inference(superposition,[],[f626,f859]) ).
tff(f626,plain,
( ! [X0: int] : ( pls != bit1(X0) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f625]) ).
tff(f896,plain,
spl2_76,
inference(avatar_split_clause,[],[f495,f894]) ).
tff(f894,plain,
( spl2_76
<=> ! [X0: int] : ( pls != plus_plus(int,plus_plus(int,one_one(int),X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).
tff(f495,plain,
! [X0: int] : ( pls != plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(forward_demodulation,[],[f343,f324]) ).
tff(f343,plain,
! [X0: int] : ( zero_zero(int) != plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: int] : ( zero_zero(int) != plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(rectify,[],[f96]) ).
tff(f96,axiom,
! [X14: int] : ( zero_zero(int) != plus_plus(int,plus_plus(int,one_one(int),X14),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_odd__nonzero) ).
tff(f892,plain,
spl2_75,
inference(avatar_split_clause,[],[f460,f890]) ).
tff(f890,plain,
( spl2_75
<=> ! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).
tff(f460,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit0(X1),bit0(X0))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit0(X0)) ) ),
inference(nnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit0(X0))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f82]) ).
tff(f82,axiom,
! [X22: int,X23: int] :
( ord_less(int,bit0(X23),bit0(X22))
<=> ord_less(int,X23,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_less__int__code_I13_J) ).
tff(f888,plain,
spl2_74,
inference(avatar_split_clause,[],[f459,f886]) ).
tff(f886,plain,
( spl2_74
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).
tff(f459,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f296]) ).
tff(f884,plain,
spl2_73,
inference(avatar_split_clause,[],[f458,f882]) ).
tff(f882,plain,
( spl2_73
<=> ! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).
tff(f458,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f295]) ).
tff(f295,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f185]) ).
tff(f185,plain,
! [X0: int,X1: int] :
( ord_less(int,bit0(X1),bit1(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X7: int,X8: int] :
( ord_less(int,bit0(X8),bit1(X7))
<=> ord_less_eq(int,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_rel__simps_I15_J) ).
tff(f880,plain,
spl2_72,
inference(avatar_split_clause,[],[f457,f878]) ).
tff(f878,plain,
( spl2_72
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).
tff(f457,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f295]) ).
tff(f876,plain,
spl2_71,
inference(avatar_split_clause,[],[f454,f874]) ).
tff(f874,plain,
( spl2_71
<=> ! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).
tff(f454,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
tff(f293,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit0(X0)) ) ),
inference(nnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit0(X0))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f92]) ).
tff(f92,axiom,
! [X22: int,X23: int] :
( ord_less(int,bit1(X23),bit0(X22))
<=> ord_less(int,X23,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_less__int__code_I15_J) ).
tff(f872,plain,
spl2_70,
inference(avatar_split_clause,[],[f453,f870]) ).
tff(f870,plain,
( spl2_70
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).
tff(f453,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f293]) ).
tff(f868,plain,
spl2_69,
inference(avatar_split_clause,[],[f450,f866]) ).
tff(f866,plain,
( spl2_69
<=> ! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit1(X0))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).
tff(f450,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit1(X0))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f291]) ).
tff(f291,plain,
! [X0: int,X1: int] :
( ( ord_less(int,bit1(X1),bit1(X0))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f181]) ).
tff(f181,plain,
! [X0: int,X1: int] :
( ord_less(int,bit1(X1),bit1(X0))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f81]) ).
tff(f81,axiom,
! [X22: int,X23: int] :
( ord_less(int,bit1(X23),bit1(X22))
<=> ord_less(int,X23,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_less__int__code_I16_J) ).
tff(f864,plain,
spl2_68,
inference(avatar_split_clause,[],[f449,f862]) ).
tff(f862,plain,
( spl2_68
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).
tff(f449,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less(int,bit1(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f291]) ).
tff(f860,plain,
( spl2_67
| ~ spl2_27
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f821,f802,f659,f857]) ).
tff(f802,plain,
( spl2_58
<=> ( one_one(int) = number_number_of(int,bit1(pls)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).
tff(f821,plain,
( ( bit1(pls) = one_one(int) )
| ~ spl2_27
| ~ spl2_58 ),
inference(superposition,[],[f804,f660]) ).
tff(f804,plain,
( ( one_one(int) = number_number_of(int,bit1(pls)) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f855,plain,
spl2_66,
inference(avatar_split_clause,[],[f448,f853]) ).
tff(f853,plain,
( spl2_66
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit0(X0))
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).
tff(f448,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit0(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,bit0(X1),bit0(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit0(X0)) ) ),
inference(nnf_transformation,[],[f180]) ).
tff(f180,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit0(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X7: int,X8: int] :
( ord_less_eq(int,bit0(X8),bit0(X7))
<=> ord_less_eq(int,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_rel__simps_I31_J) ).
tff(f851,plain,
spl2_65,
inference(avatar_split_clause,[],[f447,f849]) ).
tff(f849,plain,
( spl2_65
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).
tff(f447,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f290]) ).
tff(f847,plain,
spl2_64,
inference(avatar_split_clause,[],[f446,f845]) ).
tff(f845,plain,
( spl2_64
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_64])]) ).
tff(f446,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,bit0(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f179]) ).
tff(f179,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit0(X1),bit1(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X7: int,X8: int] :
( ord_less_eq(int,bit0(X8),bit1(X7))
<=> ord_less_eq(int,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_rel__simps_I32_J) ).
tff(f843,plain,
spl2_63,
inference(avatar_split_clause,[],[f445,f841]) ).
tff(f841,plain,
( spl2_63
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).
tff(f445,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f289]) ).
tff(f839,plain,
spl2_62,
inference(avatar_split_clause,[],[f444,f837]) ).
tff(f837,plain,
( spl2_62
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).
tff(f444,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f288]) ).
tff(f288,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,bit1(X1),bit0(X0))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit0(X0)) ) ),
inference(nnf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit0(X0))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X7: int,X8: int] :
( ord_less_eq(int,bit1(X8),bit0(X7))
<=> ord_less(int,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_rel__simps_I33_J) ).
tff(f835,plain,
spl2_61,
inference(avatar_split_clause,[],[f443,f833]) ).
tff(f833,plain,
( spl2_61
<=> ! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).
tff(f443,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f288]) ).
tff(f831,plain,
spl2_60,
inference(avatar_split_clause,[],[f442,f829]) ).
tff(f829,plain,
( spl2_60
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).
tff(f442,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f287]) ).
tff(f287,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,bit1(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit1(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X7: int,X8: int] :
( ord_less_eq(int,bit1(X8),bit1(X7))
<=> ord_less_eq(int,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_rel__simps_I34_J) ).
tff(f827,plain,
spl2_59,
inference(avatar_split_clause,[],[f441,f825]) ).
tff(f825,plain,
( spl2_59
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).
tff(f441,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f287]) ).
tff(f805,plain,
( spl2_58
| ~ spl2_7
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f795,f716,f560,f802]) ).
tff(f560,plain,
( spl2_7
<=> number_ring(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f716,plain,
( spl2_38
<=> ! [X0: $tType] :
( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
tff(f795,plain,
( ( one_one(int) = number_number_of(int,bit1(pls)) )
| ~ spl2_7
| ~ spl2_38 ),
inference(resolution,[],[f717,f562]) ).
tff(f562,plain,
( number_ring(int)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f560]) ).
tff(f717,plain,
( ! [X0: $tType] :
( ~ number_ring(X0)
| ( one_one(X0) = number_number_of(X0,bit1(pls)) ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f716]) ).
tff(f794,plain,
spl2_57,
inference(avatar_split_clause,[],[f499,f792]) ).
tff(f792,plain,
( spl2_57
<=> ! [X0: int] :
( ord_less(int,pls,X0)
| ~ ord_less_eq(int,one_one(int),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).
tff(f499,plain,
! [X0: int] :
( ord_less(int,pls,X0)
| ~ ord_less_eq(int,one_one(int),X0) ),
inference(forward_demodulation,[],[f399,f324]) ).
tff(f399,plain,
! [X0: int] :
( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ),
inference(cnf_transformation,[],[f270]) ).
tff(f270,plain,
! [X0: int] :
( ( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) )
& ( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ) ),
inference(nnf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
<=> ord_less(int,zero_zero(int),X0) ),
inference(rectify,[],[f86]) ).
tff(f86,axiom,
! [X15: int] :
( ord_less_eq(int,one_one(int),X15)
<=> ord_less(int,zero_zero(int),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_int__one__le__iff__zero__less) ).
tff(f790,plain,
spl2_56,
inference(avatar_split_clause,[],[f498,f788]) ).
tff(f788,plain,
( spl2_56
<=> ! [X0: int] :
( ~ ord_less(int,pls,X0)
| ord_less_eq(int,one_one(int),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).
tff(f498,plain,
! [X0: int] :
( ~ ord_less(int,pls,X0)
| ord_less_eq(int,one_one(int),X0) ),
inference(forward_demodulation,[],[f400,f324]) ).
tff(f400,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) ),
inference(cnf_transformation,[],[f270]) ).
tff(f786,plain,
spl2_55,
inference(avatar_split_clause,[],[f412,f784]) ).
tff(f784,plain,
( spl2_55
<=> ! [X0: int] :
( ord_less(int,bit0(X0),pls)
| ~ ord_less(int,X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).
tff(f412,plain,
! [X0: int] :
( ord_less(int,bit0(X0),pls)
| ~ ord_less(int,X0,pls) ),
inference(cnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: int] :
( ( ord_less(int,bit0(X0),pls)
| ~ ord_less(int,X0,pls) )
& ( ord_less(int,X0,pls)
| ~ ord_less(int,bit0(X0),pls) ) ),
inference(nnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: int] :
( ord_less(int,bit0(X0),pls)
<=> ord_less(int,X0,pls) ),
inference(rectify,[],[f51]) ).
tff(f51,axiom,
! [X8: int] :
( ord_less(int,bit0(X8),pls)
<=> ord_less(int,X8,pls) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_rel__simps_I10_J) ).
tff(f782,plain,
( spl2_54
| ~ spl2_33
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f714,f697,f685,f780]) ).
tff(f780,plain,
( spl2_54
<=> ! [X0: int] : ord_less_eq(int,X0,plus_plus(int,X0,one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).
tff(f685,plain,
( spl2_33
<=> ! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
tff(f697,plain,
( spl2_36
<=> ! [X1: int] : ord_less(int,X1,plus_plus(int,X1,one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
tff(f714,plain,
( ! [X0: int] : ord_less_eq(int,X0,plus_plus(int,X0,one_one(int)))
| ~ spl2_33
| ~ spl2_36 ),
inference(resolution,[],[f698,f686]) ).
tff(f686,plain,
( ! [X0: int,X1: int] :
( ~ ord_less(int,X1,X0)
| ord_less_eq(int,X1,X0) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f685]) ).
tff(f698,plain,
( ! [X1: int] : ord_less(int,X1,plus_plus(int,X1,one_one(int)))
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f697]) ).
tff(f778,plain,
spl2_53,
inference(avatar_split_clause,[],[f411,f776]) ).
tff(f776,plain,
( spl2_53
<=> ! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less(int,bit0(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).
tff(f411,plain,
! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less(int,bit0(X0),pls) ),
inference(cnf_transformation,[],[f276]) ).
tff(f774,plain,
spl2_52,
inference(avatar_split_clause,[],[f410,f772]) ).
tff(f772,plain,
( spl2_52
<=> ! [X0: int] :
( ord_less(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
tff(f410,plain,
! [X0: int] :
( ord_less(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
! [X0: int] :
( ( ord_less(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) )
& ( ord_less(int,X0,pls)
| ~ ord_less(int,bit1(X0),pls) ) ),
inference(nnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: int] :
( ord_less(int,bit1(X0),pls)
<=> ord_less(int,X0,pls) ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X8: int] :
( ord_less(int,bit1(X8),pls)
<=> ord_less(int,X8,pls) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_rel__simps_I12_J) ).
tff(f770,plain,
spl2_51,
inference(avatar_split_clause,[],[f409,f768]) ).
tff(f768,plain,
( spl2_51
<=> ! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less(int,bit1(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
tff(f409,plain,
! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less(int,bit1(X0),pls) ),
inference(cnf_transformation,[],[f275]) ).
tff(f766,plain,
spl2_50,
inference(avatar_split_clause,[],[f408,f764]) ).
tff(f764,plain,
( spl2_50
<=> ! [X0: int] :
( ord_less(int,pls,bit0(X0))
| ~ ord_less(int,pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).
tff(f408,plain,
! [X0: int] :
( ord_less(int,pls,bit0(X0))
| ~ ord_less(int,pls,X0) ),
inference(cnf_transformation,[],[f274]) ).
tff(f274,plain,
! [X0: int] :
( ( ord_less(int,pls,bit0(X0))
| ~ ord_less(int,pls,X0) )
& ( ord_less(int,pls,X0)
| ~ ord_less(int,pls,bit0(X0)) ) ),
inference(nnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: int] :
( ord_less(int,pls,bit0(X0))
<=> ord_less(int,pls,X0) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X8: int] :
( ord_less(int,pls,bit0(X8))
<=> ord_less(int,pls,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_rel__simps_I4_J) ).
tff(f762,plain,
spl2_49,
inference(avatar_split_clause,[],[f407,f760]) ).
tff(f760,plain,
( spl2_49
<=> ! [X0: int] :
( ord_less(int,pls,X0)
| ~ ord_less(int,pls,bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
tff(f407,plain,
! [X0: int] :
( ord_less(int,pls,X0)
| ~ ord_less(int,pls,bit0(X0)) ),
inference(cnf_transformation,[],[f274]) ).
tff(f758,plain,
spl2_48,
inference(avatar_split_clause,[],[f406,f756]) ).
tff(f756,plain,
( spl2_48
<=> ! [X0: int] :
( ord_less(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
tff(f406,plain,
! [X0: int] :
( ord_less(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) ),
inference(cnf_transformation,[],[f273]) ).
tff(f273,plain,
! [X0: int] :
( ( ord_less(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) )
& ( ord_less_eq(int,pls,X0)
| ~ ord_less(int,pls,bit1(X0)) ) ),
inference(nnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: int] :
( ord_less(int,pls,bit1(X0))
<=> ord_less_eq(int,pls,X0) ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X8: int] :
( ord_less(int,pls,bit1(X8))
<=> ord_less_eq(int,pls,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_rel__simps_I5_J) ).
tff(f754,plain,
spl2_47,
inference(avatar_split_clause,[],[f405,f752]) ).
tff(f752,plain,
( spl2_47
<=> ! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less(int,pls,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
tff(f405,plain,
! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less(int,pls,bit1(X0)) ),
inference(cnf_transformation,[],[f273]) ).
tff(f750,plain,
spl2_46,
inference(avatar_split_clause,[],[f404,f748]) ).
tff(f748,plain,
( spl2_46
<=> ! [X0: int] :
( ord_less_eq(int,bit0(X0),pls)
| ~ ord_less_eq(int,X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).
tff(f404,plain,
! [X0: int] :
( ord_less_eq(int,bit0(X0),pls)
| ~ ord_less_eq(int,X0,pls) ),
inference(cnf_transformation,[],[f272]) ).
tff(f272,plain,
! [X0: int] :
( ( ord_less_eq(int,bit0(X0),pls)
| ~ ord_less_eq(int,X0,pls) )
& ( ord_less_eq(int,X0,pls)
| ~ ord_less_eq(int,bit0(X0),pls) ) ),
inference(nnf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: int] :
( ord_less_eq(int,bit0(X0),pls)
<=> ord_less_eq(int,X0,pls) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X8: int] :
( ord_less_eq(int,bit0(X8),pls)
<=> ord_less_eq(int,X8,pls) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_rel__simps_I27_J) ).
tff(f746,plain,
spl2_45,
inference(avatar_split_clause,[],[f403,f744]) ).
tff(f744,plain,
( spl2_45
<=> ! [X0: int] :
( ord_less_eq(int,X0,pls)
| ~ ord_less_eq(int,bit0(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
tff(f403,plain,
! [X0: int] :
( ord_less_eq(int,X0,pls)
| ~ ord_less_eq(int,bit0(X0),pls) ),
inference(cnf_transformation,[],[f272]) ).
tff(f742,plain,
spl2_44,
inference(avatar_split_clause,[],[f402,f740]) ).
tff(f740,plain,
( spl2_44
<=> ! [X0: int] :
( ord_less_eq(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).
tff(f402,plain,
! [X0: int] :
( ord_less_eq(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) ),
inference(cnf_transformation,[],[f271]) ).
tff(f271,plain,
! [X0: int] :
( ( ord_less_eq(int,bit1(X0),pls)
| ~ ord_less(int,X0,pls) )
& ( ord_less(int,X0,pls)
| ~ ord_less_eq(int,bit1(X0),pls) ) ),
inference(nnf_transformation,[],[f153]) ).
tff(f153,plain,
! [X0: int] :
( ord_less_eq(int,bit1(X0),pls)
<=> ord_less(int,X0,pls) ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X8: int] :
( ord_less_eq(int,bit1(X8),pls)
<=> ord_less(int,X8,pls) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_rel__simps_I29_J) ).
tff(f738,plain,
spl2_43,
inference(avatar_split_clause,[],[f401,f736]) ).
tff(f736,plain,
( spl2_43
<=> ! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less_eq(int,bit1(X0),pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).
tff(f401,plain,
! [X0: int] :
( ord_less(int,X0,pls)
| ~ ord_less_eq(int,bit1(X0),pls) ),
inference(cnf_transformation,[],[f271]) ).
tff(f734,plain,
spl2_42,
inference(avatar_split_clause,[],[f398,f732]) ).
tff(f732,plain,
( spl2_42
<=> ! [X0: int] :
( ord_less_eq(int,pls,bit0(X0))
| ~ ord_less_eq(int,pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
tff(f398,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit0(X0))
| ~ ord_less_eq(int,pls,X0) ),
inference(cnf_transformation,[],[f269]) ).
tff(f269,plain,
! [X0: int] :
( ( ord_less_eq(int,pls,bit0(X0))
| ~ ord_less_eq(int,pls,X0) )
& ( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit0(X0)) ) ),
inference(nnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit0(X0))
<=> ord_less_eq(int,pls,X0) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X8: int] :
( ord_less_eq(int,pls,bit0(X8))
<=> ord_less_eq(int,pls,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_rel__simps_I21_J) ).
tff(f730,plain,
spl2_41,
inference(avatar_split_clause,[],[f397,f728]) ).
tff(f728,plain,
( spl2_41
<=> ! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
tff(f397,plain,
! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit0(X0)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f726,plain,
spl2_40,
inference(avatar_split_clause,[],[f396,f724]) ).
tff(f724,plain,
( spl2_40
<=> ! [X0: int] :
( ord_less_eq(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
tff(f396,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) ),
inference(cnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: int] :
( ( ord_less_eq(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) )
& ( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit1(X0)) ) ),
inference(nnf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit1(X0))
<=> ord_less_eq(int,pls,X0) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X8: int] :
( ord_less_eq(int,pls,bit1(X8))
<=> ord_less_eq(int,pls,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_rel__simps_I22_J) ).
tff(f722,plain,
spl2_39,
inference(avatar_split_clause,[],[f395,f720]) ).
tff(f720,plain,
( spl2_39
<=> ! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
tff(f395,plain,
! [X0: int] :
( ord_less_eq(int,pls,X0)
| ~ ord_less_eq(int,pls,bit1(X0)) ),
inference(cnf_transformation,[],[f268]) ).
tff(f718,plain,
spl2_38,
inference(avatar_split_clause,[],[f350,f716]) ).
tff(f350,plain,
! [X0: $tType] :
( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f200]) ).
tff(f200,plain,
! [X0: $tType] :
( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_numeral__1__eq__1) ).
tff(f709,plain,
( spl2_37
| ~ spl2_8
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f702,f681,f565,f706]) ).
tff(f706,plain,
( spl2_37
<=> ( zero_zero(nat) = number_number_of(nat,pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
tff(f565,plain,
( spl2_8
<=> number_semiring(nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f681,plain,
( spl2_32
<=> ! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_semiring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
tff(f702,plain,
( ( zero_zero(nat) = number_number_of(nat,pls) )
| ~ spl2_8
| ~ spl2_32 ),
inference(resolution,[],[f682,f567]) ).
tff(f567,plain,
( number_semiring(nat)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f565]) ).
tff(f682,plain,
( ! [X0: $tType] :
( ~ number_semiring(X0)
| ( zero_zero(X0) = number_number_of(X0,pls) ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f681]) ).
tff(f699,plain,
spl2_36,
inference(avatar_split_clause,[],[f488,f697]) ).
tff(f488,plain,
! [X1: int] : ord_less(int,X1,plus_plus(int,X1,one_one(int))),
inference(equality_resolution,[],[f469]) ).
tff(f469,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f301]) ).
tff(f695,plain,
spl2_35,
inference(avatar_split_clause,[],[f439,f693]) ).
tff(f693,plain,
( spl2_35
<=> ! [X0: int,X1: int] :
( ( X0 = X1 )
| ( bit0(X1) != bit0(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
tff(f439,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( bit0(X1) != bit0(X0) ) ),
inference(cnf_transformation,[],[f286]) ).
tff(f286,plain,
! [X0: int,X1: int] :
( ( ( bit0(X1) = bit0(X0) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( bit0(X1) != bit0(X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: int,X1: int] :
( ( bit0(X1) = bit0(X0) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X7: int,X8: int] :
( ( bit0(X8) = bit0(X7) )
<=> ( X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_rel__simps_I48_J) ).
tff(f691,plain,
spl2_34,
inference(avatar_split_clause,[],[f437,f689]) ).
tff(f689,plain,
( spl2_34
<=> ! [X0: int,X1: int] :
( ( X0 = X1 )
| ( bit1(X0) != bit1(X1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
tff(f437,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( bit1(X0) != bit1(X1) ) ),
inference(cnf_transformation,[],[f285]) ).
tff(f285,plain,
! [X0: int,X1: int] :
( ( ( bit1(X0) = bit1(X1) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( bit1(X0) != bit1(X1) ) ) ),
inference(nnf_transformation,[],[f175]) ).
tff(f175,plain,
! [X0: int,X1: int] :
( ( bit1(X0) = bit1(X1) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X7: int,X8: int] :
( ( bit1(X8) = bit1(X7) )
<=> ( X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_rel__simps_I51_J) ).
tff(f687,plain,
spl2_33,
inference(avatar_split_clause,[],[f434,f685]) ).
tff(f434,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
tff(f683,plain,
spl2_32,
inference(avatar_split_clause,[],[f359,f681]) ).
tff(f359,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_semiring(X0) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_semiring(X0) ),
inference(ennf_transformation,[],[f93]) ).
tff(f93,axiom,
! [X0: $tType] :
( number_semiring(X0)
=> ( zero_zero(X0) = number_number_of(X0,pls) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_semiring__numeral__0__eq__0) ).
tff(f679,plain,
spl2_31,
inference(avatar_split_clause,[],[f349,f677]) ).
tff(f677,plain,
( spl2_31
<=> ! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_ring(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
tff(f349,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f199]) ).
tff(f199,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( zero_zero(X0) = number_number_of(X0,pls) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_number__of__Pls) ).
tff(f674,plain,
spl2_30,
inference(avatar_split_clause,[],[f391,f672]) ).
tff(f672,plain,
( spl2_30
<=> ! [X0: int] :
( ( pls = X0 )
| ( pls != bit0(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
tff(f391,plain,
! [X0: int] :
( ( pls = X0 )
| ( pls != bit0(X0) ) ),
inference(cnf_transformation,[],[f266]) ).
tff(f266,plain,
! [X0: int] :
( ( ( pls = bit0(X0) )
| ( pls != X0 ) )
& ( ( pls = X0 )
| ( pls != bit0(X0) ) ) ),
inference(nnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: int] :
( ( pls = bit0(X0) )
<=> ( pls = X0 ) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X8: int] :
( ( pls = bit0(X8) )
<=> ( pls = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_rel__simps_I44_J) ).
tff(f670,plain,
spl2_29,
inference(avatar_split_clause,[],[f342,f668]) ).
tff(f668,plain,
( spl2_29
<=> ! [X0: int] : ( pls = times_times(int,pls,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
tff(f342,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(rectify,[],[f34]) ).
tff(f34,axiom,
! [X1: int] : ( pls = times_times(int,pls,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_mult__Pls) ).
tff(f665,plain,
spl2_28,
inference(avatar_split_clause,[],[f419,f663]) ).
tff(f663,plain,
( spl2_28
<=> ! [X0: int,X1: int] : ( bit0(X1) != bit1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
tff(f419,plain,
! [X0: int,X1: int] : ( bit0(X1) != bit1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: int,X1: int] : ( bit0(X1) != bit1(X0) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X5: int,X6: int] : ( bit1(X5) != bit0(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_rel__simps_I49_J) ).
tff(f661,plain,
spl2_27,
inference(avatar_split_clause,[],[f341,f659]) ).
tff(f657,plain,
( ~ spl2_26
| spl2_25 ),
inference(avatar_split_clause,[],[f652,f648,f654]) ).
tff(f648,plain,
( spl2_25
<=> ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
tff(f652,plain,
( ~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int)))
| spl2_25 ),
inference(forward_demodulation,[],[f650,f341]) ).
tff(f650,plain,
( ~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)))
| spl2_25 ),
inference(avatar_component_clause,[],[f648]) ).
tff(f651,plain,
~ spl2_25,
inference(avatar_split_clause,[],[f305,f648]) ).
tff(f305,plain,
~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),
inference(flattening,[],[f116]) ).
tff(f116,negated_conjecture,
~ ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),
inference(negated_conjecture,[],[f115]) ).
tff(f115,conjecture,
ord_less_eq(int,s,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f646,plain,
spl2_24,
inference(avatar_split_clause,[],[f528,f643]) ).
tff(f643,plain,
( spl2_24
<=> ord_less_eq(int,pls,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
tff(f528,plain,
ord_less_eq(int,pls,sK1),
inference(forward_demodulation,[],[f473,f324]) ).
tff(f473,plain,
ord_less_eq(int,zero_zero(int),sK1),
inference(cnf_transformation,[],[f304]) ).
tff(f641,plain,
spl2_23,
inference(avatar_split_clause,[],[f494,f638]) ).
tff(f638,plain,
( spl2_23
<=> ord_less_eq(int,pls,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
tff(f494,plain,
ord_less_eq(int,pls,sK0),
inference(forward_demodulation,[],[f336,f324]) ).
tff(f336,plain,
ord_less_eq(int,zero_zero(int),sK0),
inference(cnf_transformation,[],[f250]) ).
tff(f250,plain,
( zcong(s1,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f196,f249]) ).
tff(f249,plain,
( ? [X0: int] :
( zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) )
=> ( zcong(s1,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f196,plain,
? [X0: int] :
( zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
~ ! [X0: int] :
~ ( zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X0) ),
inference(rectify,[],[f71]) ).
tff(f71,axiom,
~ ! [X17: int] :
~ ( zcong(s1,X17,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less(int,X17,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
& ord_less_eq(int,zero_zero(int),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1_A_061_As_093_A_Imod_A4_A_K_Am_A_L_A1_J_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) ).
tff(f636,plain,
spl2_22,
inference(avatar_split_clause,[],[f493,f633]) ).
tff(f633,plain,
( spl2_22
<=> ord_less_eq(int,pls,s) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
tff(f493,plain,
ord_less_eq(int,pls,s),
inference(forward_demodulation,[],[f333,f324]) ).
tff(f333,plain,
ord_less_eq(int,zero_zero(int),s),
inference(cnf_transformation,[],[f1]) ).
tff(f631,plain,
spl2_21,
inference(avatar_split_clause,[],[f485,f629]) ).
tff(f629,plain,
( spl2_21
<=> ! [X1: int] : ~ ord_less(int,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
tff(f485,plain,
! [X1: int] : ~ ord_less(int,X1,X1),
inference(equality_resolution,[],[f435]) ).
tff(f435,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
tff(f627,plain,
spl2_20,
inference(avatar_split_clause,[],[f339,f625]) ).
tff(f339,plain,
! [X0: int] : ( pls != bit1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int] : ( pls != bit1(X0) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X5: int] : ( pls != bit1(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_rel__simps_I39_J) ).
tff(f623,plain,
spl2_19,
inference(avatar_split_clause,[],[f325,f620]) ).
tff(f620,plain,
( spl2_19
<=> ord_less_eq(int,pls,pls) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
tff(f325,plain,
ord_less_eq(int,pls,pls),
inference(cnf_transformation,[],[f32]) ).
tff(f32,axiom,
ord_less_eq(int,pls,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_rel__simps_I19_J) ).
tff(f618,plain,
spl2_18,
inference(avatar_split_clause,[],[f324,f615]) ).
tff(f615,plain,
( spl2_18
<=> ( zero_zero(int) = pls ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
tff(f613,plain,
spl2_17,
inference(avatar_split_clause,[],[f323,f610]) ).
tff(f610,plain,
( spl2_17
<=> ( pls = bit0(pls) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
tff(f323,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
pls = bit0(pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_Bit0__Pls) ).
tff(f608,plain,
spl2_16,
inference(avatar_split_clause,[],[f321,f605]) ).
tff(f605,plain,
( spl2_16
<=> linorder(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
tff(f321,plain,
linorder(int),
inference(cnf_transformation,[],[f102]) ).
tff(f102,axiom,
linorder(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
tff(f603,plain,
spl2_15,
inference(avatar_split_clause,[],[f320,f600]) ).
tff(f600,plain,
( spl2_15
<=> linorder(nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
tff(f320,plain,
linorder(nat),
inference(cnf_transformation,[],[f109]) ).
tff(f109,axiom,
linorder(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Olinorder) ).
tff(f598,plain,
spl2_14,
inference(avatar_split_clause,[],[f319,f595]) ).
tff(f595,plain,
( spl2_14
<=> linorder(bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
tff(f319,plain,
linorder(bool),
inference(cnf_transformation,[],[f112]) ).
tff(f112,axiom,
linorder(bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Olinorder) ).
tff(f593,plain,
spl2_13,
inference(avatar_split_clause,[],[f318,f590]) ).
tff(f590,plain,
( spl2_13
<=> number(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
tff(f318,plain,
number(int),
inference(cnf_transformation,[],[f107]) ).
tff(f107,axiom,
number(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber) ).
tff(f588,plain,
spl2_12,
inference(avatar_split_clause,[],[f317,f585]) ).
tff(f585,plain,
( spl2_12
<=> number(nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f317,plain,
number(nat),
inference(cnf_transformation,[],[f111]) ).
tff(f111,axiom,
number(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Int_Onumber) ).
tff(f583,plain,
spl2_11,
inference(avatar_split_clause,[],[f316,f580]) ).
tff(f580,plain,
( spl2_11
<=> semiring(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f316,plain,
semiring(int),
inference(cnf_transformation,[],[f105]) ).
tff(f105,axiom,
semiring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Osemiring) ).
tff(f578,plain,
spl2_10,
inference(avatar_split_clause,[],[f315,f575]) ).
tff(f575,plain,
( spl2_10
<=> semiring(nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f315,plain,
semiring(nat),
inference(cnf_transformation,[],[f110]) ).
tff(f110,axiom,
semiring(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Osemiring) ).
tff(f573,plain,
spl2_9,
inference(avatar_split_clause,[],[f314,f570]) ).
tff(f570,plain,
( spl2_9
<=> number_semiring(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f314,plain,
number_semiring(int),
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
number_semiring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__semiring) ).
tff(f568,plain,
spl2_8,
inference(avatar_split_clause,[],[f313,f565]) ).
tff(f313,plain,
number_semiring(nat),
inference(cnf_transformation,[],[f108]) ).
tff(f108,axiom,
number_semiring(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Int_Onumber__semiring) ).
tff(f563,plain,
spl2_7,
inference(avatar_split_clause,[],[f312,f560]) ).
tff(f312,plain,
number_ring(int),
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f558,plain,
spl2_6,
inference(avatar_split_clause,[],[f311,f555]) ).
tff(f555,plain,
( spl2_6
<=> linordered_idom(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f311,plain,
linordered_idom(int),
inference(cnf_transformation,[],[f100]) ).
tff(f100,axiom,
linordered_idom(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__idom) ).
tff(f553,plain,
spl2_5,
inference(avatar_split_clause,[],[f310,f550]) ).
tff(f550,plain,
( spl2_5
<=> ring(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f310,plain,
ring(int),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring) ).
tff(f548,plain,
spl2_4,
inference(avatar_split_clause,[],[f309,f545]) ).
tff(f545,plain,
( spl2_4
<=> pp(fTrue) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f309,plain,
pp(fTrue),
inference(cnf_transformation,[],[f114]) ).
tff(f114,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
tff(f543,plain,
spl2_3,
inference(avatar_split_clause,[],[f308,f540]) ).
tff(f540,plain,
( spl2_3
<=> linord219039673up_add(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f308,plain,
linord219039673up_add(int),
inference(cnf_transformation,[],[f99]) ).
tff(f99,axiom,
linord219039673up_add(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Olinordered__ab__group__add) ).
tff(f538,plain,
spl2_2,
inference(avatar_split_clause,[],[f307,f535]) ).
tff(f535,plain,
( spl2_2
<=> ring_char_0(int) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f307,plain,
ring_char_0(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
ring_char_0(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Oring__char__0) ).
tff(f533,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f306,f530]) ).
tff(f530,plain,
( spl2_1
<=> pp(fFalse) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f306,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f113]) ).
tff(f113,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_1_1_U) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM960_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:56:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (7097)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7100)WARNING: value z3 for option sas not known
% 0.13/0.37 % (7101)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (7103)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (7102)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (7098)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (7099)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (7100)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (7104)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (7104)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (7105)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.39 % (7106)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.39 % (7107)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.39 % (7105)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.39 % (7106)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.39 % Exception at run slice level% (7102)First to succeed.
% 0.19/0.39
% 0.19/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.40 % (7102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7097"
% 0.19/0.40 % (7102)Refutation found. Thanks to Tanya!
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.41 % (7102)------------------------------
% 0.19/0.41 % (7102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.41 % (7102)Termination reason: Refutation
% 0.19/0.41
% 0.19/0.41 % (7102)Memory used [KB]: 1466
% 0.19/0.41 % (7102)Time elapsed: 0.034 s
% 0.19/0.41 % (7102)Instructions burned: 55 (million)
% 0.19/0.41 % (7097)Success in time 0.046 s
%------------------------------------------------------------------------------