TSTP Solution File: SWV271-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV271-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:56:05 EDT 2022
% Result : Unsatisfiable 11.20s 1.86s
% Output : Refutation 11.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 391
% Syntax : Number of formulae : 665 ( 348 unt; 0 def)
% Number of atoms : 1039 ( 193 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 552 ( 178 ~; 184 |; 0 &)
% ( 190 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 255 ( 253 usr; 191 prp; 0-3 aty)
% Number of functors : 75 ( 75 usr; 44 con; 0-3 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4435,plain,
$false,
inference(avatar_smt_refutation,[],[f3057,f3062,f3067,f3072,f3080,f3085,f3093,f3098,f3103,f3108,f3113,f3116,f3121,f3126,f3131,f3136,f3141,f3146,f3151,f3152,f3157,f3162,f3167,f3172,f3177,f3182,f3187,f3192,f3198,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3256,f3261,f3266,f3271,f3276,f3281,f3286,f3292,f3297,f3302,f3307,f3312,f3318,f3323,f3328,f3333,f3338,f3343,f3348,f3353,f3358,f3363,f3368,f3379,f3384,f3390,f3395,f3401,f3406,f3411,f3416,f3421,f3426,f3432,f3437,f3443,f3445,f3450,f3455,f3460,f3466,f3471,f3476,f3481,f3486,f3491,f3496,f3502,f3507,f3513,f3518,f3523,f3528,f3533,f3534,f3539,f3545,f3550,f3555,f3560,f3565,f3570,f3575,f3580,f3585,f3590,f3595,f3601,f3606,f3607,f3614,f3619,f3627,f3632,f3639,f3644,f3649,f3654,f3659,f3660,f3665,f3671,f3677,f3686,f3691,f3696,f3701,f3704,f3709,f3715,f3720,f3725,f3731,f3736,f3739,f3744,f3749,f3754,f3759,f3765,f3771,f3776,f3781,f3788,f3793,f3798,f3800,f3805,f3810,f3815,f3820,f3827,f3832,f3837,f3843,f3844,f3849,f3854,f3859,f3864,f3869,f3874,f3881,f3886,f3891,f3896,f3902,f3911,f3917,f3922,f3927,f3932,f3938,f3943,f3950,f3956,f3961,f3968,f3969,f3971,f3976,f3981,f3983,f4014,f4032,f4087,f4098,f4105,f4111,f4154,f4163,f4173,f4182,f4263,f4291,f4390,f4397,f4403,f4410,f4418,f4423,f4424,f4427,f4432,f4434]) ).
fof(f4434,plain,
( ~ spl0_187
| spl0_183 ),
inference(avatar_split_clause,[],[f4433,f4288,f4407]) ).
fof(f4407,plain,
( spl0_187
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f4288,plain,
( spl0_183
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f4433,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| spl0_183 ),
inference(resolution,[],[f4289,f2767]) ).
fof(f2767,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f4289,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_183 ),
inference(avatar_component_clause,[],[f4288]) ).
fof(f4432,plain,
( spl0_190
| spl0_187
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4425,f4284,f4407,f4429]) ).
fof(f4429,plain,
( spl0_190
<=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f4284,plain,
( spl0_182
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f4425,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_182 ),
inference(resolution,[],[f4286,f2782]) ).
fof(f2782,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(X88),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X86,X87),X88,tc_Message_Omsg)
| c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f4286,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f4284]) ).
fof(f4427,plain,
( spl0_187
| spl0_178
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4426,f4284,f4160,f4407]) ).
fof(f4160,plain,
( spl0_178
<=> c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4426,plain,
( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| ~ spl0_182 ),
inference(resolution,[],[f4286,f2781]) ).
fof(f2781,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Osynth(X88),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X86,X87),X88,tc_Message_Omsg)
| c_in(X87,c_Message_Osynth(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f4424,plain,
( spl0_177
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f4412,f4288,f4151]) ).
fof(f4151,plain,
( spl0_177
<=> c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f4412,plain,
( c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_183 ),
inference(resolution,[],[f4290,f2728]) ).
fof(f2728,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
| c_in(X87,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f4290,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f4288]) ).
fof(f4423,plain,
( spl0_189
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f4411,f4288,f4420]) ).
fof(f4420,plain,
( spl0_189
<=> c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f4411,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_183 ),
inference(resolution,[],[f4290,f2729]) ).
fof(f2729,axiom,
! [X88,X86,X87] :
( ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg)
| c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f4418,plain,
( spl0_188
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f4413,f4288,f4415]) ).
fof(f4415,plain,
( spl0_188
<=> c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f4413,plain,
( c_Message_Oparts(v_H) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg))
| ~ spl0_183 ),
inference(resolution,[],[f4290,f2804]) ).
fof(f2804,axiom,
! [X88,X86] :
( ~ c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| c_Message_Oparts(X88) = c_Message_Oparts(c_insert(X86,X88,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
fof(f4410,plain,
( ~ spl0_187
| spl0_182 ),
inference(avatar_split_clause,[],[f4405,f4284,f4407]) ).
fof(f4405,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| spl0_182 ),
inference(resolution,[],[f4285,f2818]) ).
fof(f2818,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f4285,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| spl0_182 ),
inference(avatar_component_clause,[],[f4284]) ).
fof(f4403,plain,
( spl0_186
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f4398,f4179,f4400]) ).
fof(f4400,plain,
( spl0_186
<=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f4179,plain,
( spl0_180
<=> c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4398,plain,
( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg))
| ~ spl0_180 ),
inference(resolution,[],[f4181,f2804]) ).
fof(f4181,plain,
( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4179]) ).
fof(f4397,plain,
( spl0_185
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f4392,f4170,f4394]) ).
fof(f4394,plain,
( spl0_185
<=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f4170,plain,
( spl0_179
<=> c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f4392,plain,
( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg))
| ~ spl0_179 ),
inference(resolution,[],[f4172,f2804]) ).
fof(f4172,plain,
( c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f4170]) ).
fof(f4390,plain,
( ~ spl0_184
| spl0_177 ),
inference(avatar_split_clause,[],[f4385,f4151,f4387]) ).
fof(f4387,plain,
( spl0_184
<=> c_in(v_Y,v_H,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4385,plain,
( ~ c_in(v_Y,v_H,tc_Message_Omsg)
| spl0_177 ),
inference(resolution,[],[f4153,f2767]) ).
fof(f4153,plain,
( ~ c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_177 ),
inference(avatar_component_clause,[],[f4151]) ).
fof(f4291,plain,
( spl0_182
| spl0_183
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f4272,f3159,f4288,f4284]) ).
fof(f3159,plain,
( spl0_22
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f4272,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_22 ),
inference(resolution,[],[f2640,f3161]) ).
fof(f3161,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f3159]) ).
fof(f2640,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,c_union(X12,X13,X1),X1)
| c_in(X4,X13,X1)
| c_in(X4,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f4263,plain,
( spl0_181
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4255,f3268,f4260]) ).
fof(f4260,plain,
( spl0_181
<=> c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f3268,plain,
( spl0_43
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f4255,plain,
( c_Message_Oparts(c_Message_Osynth(v_H)) = c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg))
| ~ spl0_43 ),
inference(resolution,[],[f2804,f3270]) ).
fof(f3270,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f4182,plain,
( spl0_180
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4174,f3268,f4179]) ).
fof(f4174,plain,
( c_in(v_X,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
| ~ spl0_43 ),
inference(resolution,[],[f2729,f3270]) ).
fof(f4173,plain,
( spl0_179
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4165,f3268,f4170]) ).
fof(f4165,plain,
( c_in(v_Y,c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg)
| ~ spl0_43 ),
inference(resolution,[],[f2728,f3270]) ).
fof(f4163,plain,
( ~ spl0_178
| spl0_145 ),
inference(avatar_split_clause,[],[f4155,f3829,f4160]) ).
fof(f3829,plain,
( spl0_145
<=> c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f4155,plain,
( ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| spl0_145 ),
inference(resolution,[],[f2642,f3831]) ).
fof(f3831,plain,
( ~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| spl0_145 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f2642,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f4154,plain,
( ~ spl0_177
| spl0_145 ),
inference(avatar_split_clause,[],[f4146,f3829,f4151]) ).
fof(f4146,plain,
( ~ c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_145 ),
inference(resolution,[],[f2641,f3831]) ).
fof(f2641,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f4111,plain,
( spl0_176
| ~ spl0_61
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f4106,f3674,f3360,f4108]) ).
fof(f4108,plain,
( spl0_176
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f3360,plain,
( spl0_61
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3674,plain,
( spl0_118
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f4106,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_61
| ~ spl0_118 ),
inference(forward_demodulation,[],[f3362,f3676]) ).
fof(f3676,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f3362,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f3360]) ).
fof(f4105,plain,
( spl0_175
| ~ spl0_147
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f4100,f3958,f3840,f4102]) ).
fof(f4102,plain,
( spl0_175
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3840,plain,
( spl0_147
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f3958,plain,
( spl0_167
<=> c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f4100,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_147
| ~ spl0_167 ),
inference(forward_demodulation,[],[f3960,f3842]) ).
fof(f3842,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f3840]) ).
fof(f3960,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f3958]) ).
fof(f4098,plain,
( spl0_174
| ~ spl0_40
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f4093,f3525,f3253,f4095]) ).
fof(f4095,plain,
( spl0_174
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f3253,plain,
( spl0_40
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f3525,plain,
( spl0_91
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f4093,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_40
| ~ spl0_91 ),
inference(forward_demodulation,[],[f3527,f3255]) ).
fof(f3255,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f3253]) ).
fof(f3527,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f3525]) ).
fof(f4087,plain,
( spl0_173
| ~ spl0_3
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f4073,f3674,f3064,f4084]) ).
fof(f4084,plain,
( spl0_173
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3064,plain,
( spl0_3
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4073,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_3
| ~ spl0_118 ),
inference(backward_demodulation,[],[f3066,f3676]) ).
fof(f3066,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3064]) ).
fof(f4032,plain,
( spl0_172
| ~ spl0_30
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4027,f3253,f3202,f4029]) ).
fof(f4029,plain,
( spl0_172
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3202,plain,
( spl0_30
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f4027,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_30
| ~ spl0_40 ),
inference(forward_demodulation,[],[f3204,f3255]) ).
fof(f3204,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f4014,plain,
( spl0_171
| ~ spl0_97
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f4009,f3840,f3557,f4011]) ).
fof(f4011,plain,
( spl0_171
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3557,plain,
( spl0_97
<=> c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f4009,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_97
| ~ spl0_147 ),
inference(backward_demodulation,[],[f3559,f3842]) ).
fof(f3559,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f3557]) ).
fof(f3983,plain,
spl0_150,
inference(avatar_split_clause,[],[f3982,f3856]) ).
fof(f3856,plain,
( spl0_150
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3982,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_demodulation,[],[f2343,f2344]) ).
fof(f2344,axiom,
! [X28] : c_1 = c_Nat_Opower(X28,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f2343,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3981,plain,
spl0_170,
inference(avatar_split_clause,[],[f1674,f3978]) ).
fof(f3978,plain,
( spl0_170
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1674,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3976,plain,
spl0_169,
inference(avatar_split_clause,[],[f170,f3973]) ).
fof(f3973,plain,
( spl0_169
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3971,plain,
( spl0_6
| spl0_147 ),
inference(avatar_split_clause,[],[f3970,f3840,f3078]) ).
fof(f3078,plain,
( spl0_6
<=> ! [X83] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3970,plain,
! [X47] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2894,f1832]) ).
fof(f1832,axiom,
! [X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_1) ).
fof(f2894,plain,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X47,tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f1822,f2544]) ).
fof(f2544,axiom,
! [X14] : c_Suc(X14) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X14,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f1822,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Suc(c_Numeral_Onumber__of(X47,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f3969,plain,
spl0_7,
inference(avatar_split_clause,[],[f1847,f3083]) ).
fof(f3083,plain,
( spl0_7
<=> ! [X83] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Numeral_Onumber__of(X83,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1847,axiom,
! [X47] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Numeral_Onumber__of(X47,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_0) ).
fof(f3968,plain,
spl0_168,
inference(avatar_split_clause,[],[f174,f3965]) ).
fof(f3965,plain,
( spl0_168
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3961,plain,
spl0_167,
inference(avatar_split_clause,[],[f2888,f3958]) ).
fof(f2888,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f1344,f2544]) ).
fof(f1344,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3956,plain,
spl0_166,
inference(avatar_split_clause,[],[f1687,f3953]) ).
fof(f3953,plain,
( spl0_166
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1687,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3950,plain,
spl0_165,
inference(avatar_split_clause,[],[f3945,f3947]) ).
fof(f3947,plain,
( spl0_165
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f3945,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(forward_demodulation,[],[f1486,f1464]) ).
fof(f1464,axiom,
! [X28] : c_1 = c_Nat_Opower(X28,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f1486,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3943,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f2159,f3335]) ).
fof(f3335,plain,
( spl0_56
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f2159,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3938,plain,
spl0_164,
inference(avatar_split_clause,[],[f1680,f3935]) ).
fof(f3935,plain,
( spl0_164
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1680,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3932,plain,
spl0_163,
inference(avatar_split_clause,[],[f229,f3929]) ).
fof(f3929,plain,
( spl0_163
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3927,plain,
( spl0_162
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3923,f3095,f3925]) ).
fof(f3925,plain,
( spl0_162
<=> ! [X15] : c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f3095,plain,
( spl0_10
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3923,plain,
! [X15] :
( c_0 != c_1
| c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1976,f2089]) ).
fof(f2089,axiom,
! [X21] :
( c_less(c_0,X21,tc_nat)
| c_0 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f1976,axiom,
! [X15] :
( c_less(c_0,c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_1 != c_Divides_Oop_Amod(X15,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3922,plain,
spl0_161,
inference(avatar_split_clause,[],[f1685,f3919]) ).
fof(f3919,plain,
( spl0_161
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1685,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3917,plain,
spl0_160,
inference(avatar_split_clause,[],[f222,f3914]) ).
fof(f3914,plain,
( spl0_160
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f222,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3911,plain,
~ spl0_159,
inference(avatar_split_clause,[],[f1309,f3908]) ).
fof(f3908,plain,
( spl0_159
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1309,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3902,plain,
spl0_158,
inference(avatar_split_clause,[],[f176,f3899]) ).
fof(f3899,plain,
( spl0_158
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3896,plain,
spl0_157,
inference(avatar_split_clause,[],[f2164,f3893]) ).
fof(f3893,plain,
( spl0_157
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f2164,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3891,plain,
spl0_156,
inference(avatar_split_clause,[],[f153,f3888]) ).
fof(f3888,plain,
( spl0_156
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f153,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3886,plain,
spl0_155,
inference(avatar_split_clause,[],[f235,f3883]) ).
fof(f3883,plain,
( spl0_155
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3881,plain,
spl0_154,
inference(avatar_split_clause,[],[f178,f3878]) ).
fof(f3878,plain,
( spl0_154
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3874,plain,
spl0_153,
inference(avatar_split_clause,[],[f2872,f3871]) ).
fof(f3871,plain,
( spl0_153
<=> c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2872,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f2133,f2112]) ).
fof(f2112,axiom,
! [X11] : c_Numeral_Obin__add(c_Numeral_OMin,X11) = c_Numeral_Obin__pred(X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).
fof(f2133,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3869,plain,
spl0_152,
inference(avatar_split_clause,[],[f160,f3866]) ).
fof(f3866,plain,
( spl0_152
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3864,plain,
spl0_151,
inference(avatar_split_clause,[],[f147,f3861]) ).
fof(f3861,plain,
( spl0_151
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f147,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3859,plain,
spl0_150,
inference(avatar_split_clause,[],[f2049,f3856]) ).
fof(f2049,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3854,plain,
spl0_149,
inference(avatar_split_clause,[],[f227,f3851]) ).
fof(f3851,plain,
( spl0_149
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3849,plain,
spl0_148,
inference(avatar_split_clause,[],[f189,f3846]) ).
fof(f3846,plain,
( spl0_148
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f189,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3844,plain,
spl0_8,
inference(avatar_split_clause,[],[f1833,f3088]) ).
fof(f3088,plain,
( spl0_8
<=> ! [X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1833,axiom,
! [X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_2) ).
fof(f3843,plain,
spl0_147,
inference(avatar_split_clause,[],[f2901,f3840]) ).
fof(f2901,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2016,f2544]) ).
fof(f2016,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3837,plain,
spl0_146,
inference(avatar_split_clause,[],[f228,f3834]) ).
fof(f3834,plain,
( spl0_146
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3832,plain,
~ spl0_145,
inference(avatar_split_clause,[],[f2828,f3829]) ).
fof(f2828,axiom,
~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3827,plain,
spl0_144,
inference(avatar_split_clause,[],[f126,f3824]) ).
fof(f3824,plain,
( spl0_144
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3820,plain,
spl0_143,
inference(avatar_split_clause,[],[f139,f3817]) ).
fof(f3817,plain,
( spl0_143
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f139,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3815,plain,
spl0_142,
inference(avatar_split_clause,[],[f217,f3812]) ).
fof(f3812,plain,
( spl0_142
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f217,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3810,plain,
spl0_141,
inference(avatar_split_clause,[],[f225,f3807]) ).
fof(f3807,plain,
( spl0_141
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3805,plain,
spl0_140,
inference(avatar_split_clause,[],[f2743,f3802]) ).
fof(f3802,plain,
( spl0_140
<=> c_emptyset = c_Message_OkeysFor(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f2743,axiom,
c_emptyset = c_Message_OkeysFor(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__empty_0) ).
fof(f3800,plain,
spl0_97,
inference(avatar_split_clause,[],[f2881,f3557]) ).
fof(f2881,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2094,f2544]) ).
fof(f2094,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3798,plain,
spl0_139,
inference(avatar_split_clause,[],[f213,f3795]) ).
fof(f3795,plain,
( spl0_139
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f213,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3793,plain,
spl0_138,
inference(avatar_split_clause,[],[f198,f3790]) ).
fof(f3790,plain,
( spl0_138
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f198,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3788,plain,
spl0_137,
inference(avatar_split_clause,[],[f155,f3785]) ).
fof(f3785,plain,
( spl0_137
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3781,plain,
spl0_136,
inference(avatar_split_clause,[],[f236,f3778]) ).
fof(f3778,plain,
( spl0_136
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3776,plain,
spl0_135,
inference(avatar_split_clause,[],[f131,f3773]) ).
fof(f3773,plain,
( spl0_135
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f131,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3771,plain,
spl0_134,
inference(avatar_split_clause,[],[f218,f3768]) ).
fof(f3768,plain,
( spl0_134
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f218,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3765,plain,
spl0_133,
inference(avatar_split_clause,[],[f136,f3762]) ).
fof(f3762,plain,
( spl0_133
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f136,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3759,plain,
spl0_132,
inference(avatar_split_clause,[],[f2770,f3756]) ).
fof(f3756,plain,
( spl0_132
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2770,axiom,
c_emptyset = c_Message_Oparts(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).
fof(f3754,plain,
spl0_131,
inference(avatar_split_clause,[],[f232,f3751]) ).
fof(f3751,plain,
( spl0_131
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3749,plain,
spl0_130,
inference(avatar_split_clause,[],[f145,f3746]) ).
fof(f3746,plain,
( spl0_130
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f145,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3744,plain,
spl0_129,
inference(avatar_split_clause,[],[f184,f3741]) ).
fof(f3741,plain,
( spl0_129
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f184,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3739,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f1251,f3133]) ).
fof(f3133,plain,
( spl0_17
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1251,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3736,plain,
spl0_128,
inference(avatar_split_clause,[],[f2303,f3733]) ).
fof(f3733,plain,
( spl0_128
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2303,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3731,plain,
spl0_127,
inference(avatar_split_clause,[],[f3020,f3728]) ).
fof(f3728,plain,
( spl0_127
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3020,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f2126,f2129]) ).
fof(f2129,axiom,
! [X11] : c_Numeral_Obin__minus(X11) = c_Numeral_Obin__mult(c_Numeral_OMin,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f2126,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3725,plain,
spl0_126,
inference(avatar_split_clause,[],[f195,f3722]) ).
fof(f3722,plain,
( spl0_126
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3720,plain,
spl0_125,
inference(avatar_split_clause,[],[f1676,f3717]) ).
fof(f3717,plain,
( spl0_125
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1676,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3715,plain,
spl0_124,
inference(avatar_split_clause,[],[f142,f3712]) ).
fof(f3712,plain,
( spl0_124
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f142,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3709,plain,
spl0_123,
inference(avatar_split_clause,[],[f2163,f3706]) ).
fof(f3706,plain,
( spl0_123
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f2163,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3704,plain,
spl0_8,
inference(avatar_split_clause,[],[f1849,f3088]) ).
fof(f1849,axiom,
! [X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f3701,plain,
spl0_122,
inference(avatar_split_clause,[],[f1184,f3698]) ).
fof(f3698,plain,
( spl0_122
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1184,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3696,plain,
spl0_121,
inference(avatar_split_clause,[],[f1255,f3693]) ).
fof(f3693,plain,
( spl0_121
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1255,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3691,plain,
spl0_120,
inference(avatar_split_clause,[],[f223,f3688]) ).
fof(f3688,plain,
( spl0_120
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f223,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3686,plain,
spl0_119,
inference(avatar_split_clause,[],[f173,f3683]) ).
fof(f3683,plain,
( spl0_119
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3677,plain,
spl0_118,
inference(avatar_split_clause,[],[f2156,f3674]) ).
fof(f2156,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3671,plain,
spl0_117,
inference(avatar_split_clause,[],[f135,f3668]) ).
fof(f3668,plain,
( spl0_117
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f135,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3665,plain,
spl0_116,
inference(avatar_split_clause,[],[f169,f3662]) ).
fof(f3662,plain,
( spl0_116
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3660,plain,
spl0_40,
inference(avatar_split_clause,[],[f1374,f3253]) ).
fof(f1374,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3659,plain,
spl0_115,
inference(avatar_split_clause,[],[f166,f3656]) ).
fof(f3656,plain,
( spl0_115
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3654,plain,
spl0_114,
inference(avatar_split_clause,[],[f157,f3651]) ).
fof(f3651,plain,
( spl0_114
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3649,plain,
spl0_113,
inference(avatar_split_clause,[],[f208,f3646]) ).
fof(f3646,plain,
( spl0_113
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f208,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3644,plain,
( spl0_6
| spl0_112 ),
inference(avatar_split_clause,[],[f3640,f3642,f3078]) ).
fof(f3642,plain,
( spl0_112
<=> ! [X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3640,plain,
! [X83,X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1841,f1832]) ).
fof(f1841,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3639,plain,
spl0_111,
inference(avatar_split_clause,[],[f140,f3636]) ).
fof(f3636,plain,
( spl0_111
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f140,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3632,plain,
spl0_110,
inference(avatar_split_clause,[],[f2737,f3629]) ).
fof(f3629,plain,
( spl0_110
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2737,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OServer,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__1_0) ).
fof(f3627,plain,
spl0_109,
inference(avatar_split_clause,[],[f214,f3624]) ).
fof(f3624,plain,
( spl0_109
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f214,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3619,plain,
spl0_108,
inference(avatar_split_clause,[],[f151,f3616]) ).
fof(f3616,plain,
( spl0_108
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f151,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3614,plain,
~ spl0_107,
inference(avatar_split_clause,[],[f2629,f3611]) ).
fof(f3611,plain,
( spl0_107
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f2629,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3607,plain,
~ spl0_89,
inference(avatar_split_clause,[],[f2732,f3515]) ).
fof(f3515,plain,
( spl0_89
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f2732,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3_0) ).
fof(f3606,plain,
spl0_106,
inference(avatar_split_clause,[],[f171,f3603]) ).
fof(f3603,plain,
( spl0_106
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3601,plain,
~ spl0_105,
inference(avatar_split_clause,[],[f3596,f3598]) ).
fof(f3598,plain,
( spl0_105
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f3596,plain,
~ c_less(c_0,c_0,tc_nat),
inference(backward_demodulation,[],[f1602,f1598]) ).
fof(f1598,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv_1) ).
fof(f1602,axiom,
! [X1] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv_0) ).
fof(f3595,plain,
spl0_104,
inference(avatar_split_clause,[],[f165,f3592]) ).
fof(f3592,plain,
( spl0_104
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3590,plain,
spl0_103,
inference(avatar_split_clause,[],[f148,f3587]) ).
fof(f3587,plain,
( spl0_103
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f148,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3585,plain,
spl0_102,
inference(avatar_split_clause,[],[f2290,f3582]) ).
fof(f3582,plain,
( spl0_102
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f2290,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3580,plain,
spl0_101,
inference(avatar_split_clause,[],[f1677,f3577]) ).
fof(f3577,plain,
( spl0_101
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1677,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3575,plain,
spl0_100,
inference(avatar_split_clause,[],[f230,f3572]) ).
fof(f3572,plain,
( spl0_100
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3570,plain,
spl0_99,
inference(avatar_split_clause,[],[f133,f3567]) ).
fof(f3567,plain,
( spl0_99
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f133,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3565,plain,
spl0_98,
inference(avatar_split_clause,[],[f2534,f3562]) ).
fof(f3562,plain,
( spl0_98
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2534,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3560,plain,
spl0_97,
inference(avatar_split_clause,[],[f2905,f3557]) ).
fof(f2905,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f2064,f2544]) ).
fof(f2064,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3555,plain,
spl0_96,
inference(avatar_split_clause,[],[f172,f3552]) ).
fof(f3552,plain,
( spl0_96
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3550,plain,
spl0_95,
inference(avatar_split_clause,[],[f1673,f3547]) ).
fof(f3547,plain,
( spl0_95
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1673,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3545,plain,
spl0_94,
inference(avatar_split_clause,[],[f211,f3542]) ).
fof(f3542,plain,
( spl0_94
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f211,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3539,plain,
spl0_93,
inference(avatar_split_clause,[],[f2528,f3536]) ).
fof(f3536,plain,
( spl0_93
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2528,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3534,plain,
( ~ spl0_10
| spl0_63 ),
inference(avatar_split_clause,[],[f2498,f3377,f3095]) ).
fof(f3377,plain,
( spl0_63
<=> ! [X1] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2498,axiom,
! [X1] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3533,plain,
( spl0_6
| spl0_92 ),
inference(avatar_split_clause,[],[f3529,f3531,f3078]) ).
fof(f3531,plain,
( spl0_92
<=> ! [X83] : c_0 = c_times(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f3529,plain,
! [X83,X47] :
( c_0 = c_times(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1863,f1832]) ).
fof(f1863,axiom,
! [X83,X47] :
( c_0 = c_times(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Omult__nat__number__of_0) ).
fof(f3528,plain,
spl0_91,
inference(avatar_split_clause,[],[f1391,f3525]) ).
fof(f1391,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f3523,plain,
spl0_90,
inference(avatar_split_clause,[],[f1254,f3520]) ).
fof(f3520,plain,
( spl0_90
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1254,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3518,plain,
~ spl0_89,
inference(avatar_split_clause,[],[f2733,f3515]) ).
fof(f2733,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4_0) ).
fof(f3513,plain,
spl0_88,
inference(avatar_split_clause,[],[f2739,f3510]) ).
fof(f3510,plain,
( spl0_88
<=> c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2739,axiom,
c_0 = c_Nat_Osize(c_Message_Oagent_OSpy,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Osize__3_0) ).
fof(f3507,plain,
spl0_87,
inference(avatar_split_clause,[],[f234,f3504]) ).
fof(f3504,plain,
( spl0_87
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3502,plain,
spl0_86,
inference(avatar_split_clause,[],[f212,f3499]) ).
fof(f3499,plain,
( spl0_86
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f212,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3496,plain,
spl0_85,
inference(avatar_split_clause,[],[f146,f3493]) ).
fof(f3493,plain,
( spl0_85
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f146,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3491,plain,
spl0_84,
inference(avatar_split_clause,[],[f143,f3488]) ).
fof(f3488,plain,
( spl0_84
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f143,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3486,plain,
spl0_83,
inference(avatar_split_clause,[],[f1682,f3483]) ).
fof(f3483,plain,
( spl0_83
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1682,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3481,plain,
spl0_82,
inference(avatar_split_clause,[],[f210,f3478]) ).
fof(f3478,plain,
( spl0_82
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3476,plain,
spl0_81,
inference(avatar_split_clause,[],[f1678,f3473]) ).
fof(f3473,plain,
( spl0_81
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1678,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3471,plain,
spl0_80,
inference(avatar_split_clause,[],[f183,f3468]) ).
fof(f3468,plain,
( spl0_80
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3466,plain,
spl0_79,
inference(avatar_split_clause,[],[f203,f3463]) ).
fof(f3463,plain,
( spl0_79
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f203,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3460,plain,
spl0_78,
inference(avatar_split_clause,[],[f1684,f3457]) ).
fof(f3457,plain,
( spl0_78
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1684,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3455,plain,
( spl0_77
| spl0_6 ),
inference(avatar_split_clause,[],[f3451,f3078,f3453]) ).
fof(f3453,plain,
( spl0_77
<=> ! [X83] : c_0 = c_div(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f3451,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_div(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1827,f1832]) ).
fof(f1827,axiom,
! [X83,X47] :
( c_0 = c_div(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Odiv__nat__number__of_0) ).
fof(f3450,plain,
spl0_76,
inference(avatar_split_clause,[],[f2105,f3447]) ).
fof(f3447,plain,
( spl0_76
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f2105,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3445,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f3444,f3078,f3088]) ).
fof(f3444,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1843,f1832]) ).
fof(f1843,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3443,plain,
spl0_75,
inference(avatar_split_clause,[],[f1688,f3440]) ).
fof(f3440,plain,
( spl0_75
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1688,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3437,plain,
spl0_74,
inference(avatar_split_clause,[],[f149,f3434]) ).
fof(f3434,plain,
( spl0_74
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f149,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3432,plain,
spl0_73,
inference(avatar_split_clause,[],[f1675,f3429]) ).
fof(f3429,plain,
( spl0_73
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1675,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3426,plain,
spl0_72,
inference(avatar_split_clause,[],[f242,f3423]) ).
fof(f3423,plain,
( spl0_72
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3421,plain,
spl0_71,
inference(avatar_split_clause,[],[f224,f3418]) ).
fof(f3418,plain,
( spl0_71
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f224,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3416,plain,
spl0_70,
inference(avatar_split_clause,[],[f134,f3413]) ).
fof(f3413,plain,
( spl0_70
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f134,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3411,plain,
spl0_69,
inference(avatar_split_clause,[],[f216,f3408]) ).
fof(f3408,plain,
( spl0_69
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f216,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3406,plain,
spl0_68,
inference(avatar_split_clause,[],[f238,f3403]) ).
fof(f3403,plain,
( spl0_68
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f238,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3401,plain,
spl0_67,
inference(avatar_split_clause,[],[f132,f3398]) ).
fof(f3398,plain,
( spl0_67
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f132,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3395,plain,
spl0_66,
inference(avatar_split_clause,[],[f226,f3392]) ).
fof(f3392,plain,
( spl0_66
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3390,plain,
spl0_65,
inference(avatar_split_clause,[],[f221,f3387]) ).
fof(f3387,plain,
( spl0_65
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3384,plain,
spl0_64,
inference(avatar_split_clause,[],[f209,f3381]) ).
fof(f3381,plain,
( spl0_64
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f209,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3379,plain,
( ~ spl0_10
| spl0_63 ),
inference(avatar_split_clause,[],[f2395,f3377,f3095]) ).
fof(f2395,axiom,
! [X1] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X1)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3368,plain,
spl0_62,
inference(avatar_split_clause,[],[f244,f3365]) ).
fof(f3365,plain,
( spl0_62
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3363,plain,
spl0_61,
inference(avatar_split_clause,[],[f1867,f3360]) ).
fof(f1867,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3358,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f2310,f3355]) ).
fof(f3355,plain,
( spl0_60
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2310,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3353,plain,
spl0_59,
inference(avatar_split_clause,[],[f2567,f3350]) ).
fof(f3350,plain,
( spl0_59
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2567,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3348,plain,
spl0_58,
inference(avatar_split_clause,[],[f1866,f3345]) ).
fof(f3345,plain,
( spl0_58
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1866,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f3343,plain,
spl0_57,
inference(avatar_split_clause,[],[f194,f3340]) ).
fof(f3340,plain,
( spl0_57
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3338,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f2160,f3335]) ).
fof(f2160,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3333,plain,
spl0_55,
inference(avatar_split_clause,[],[f1371,f3330]) ).
fof(f3330,plain,
( spl0_55
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1371,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3328,plain,
spl0_54,
inference(avatar_split_clause,[],[f1386,f3325]) ).
fof(f3325,plain,
( spl0_54
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1386,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3323,plain,
spl0_53,
inference(avatar_split_clause,[],[f144,f3320]) ).
fof(f3320,plain,
( spl0_53
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f144,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3318,plain,
spl0_52,
inference(avatar_split_clause,[],[f239,f3315]) ).
fof(f3315,plain,
( spl0_52
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f239,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3312,plain,
spl0_51,
inference(avatar_split_clause,[],[f180,f3309]) ).
fof(f3309,plain,
( spl0_51
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3307,plain,
spl0_50,
inference(avatar_split_clause,[],[f156,f3304]) ).
fof(f3304,plain,
( spl0_50
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3302,plain,
spl0_49,
inference(avatar_split_clause,[],[f1679,f3299]) ).
fof(f3299,plain,
( spl0_49
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1679,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3297,plain,
spl0_48,
inference(avatar_split_clause,[],[f2106,f3294]) ).
fof(f3294,plain,
( spl0_48
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2106,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3292,plain,
spl0_47,
inference(avatar_split_clause,[],[f233,f3289]) ).
fof(f3289,plain,
( spl0_47
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3286,plain,
spl0_46,
inference(avatar_split_clause,[],[f154,f3283]) ).
fof(f3283,plain,
( spl0_46
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3281,plain,
( spl0_6
| spl0_45 ),
inference(avatar_split_clause,[],[f3277,f3279,f3078]) ).
fof(f3279,plain,
( spl0_45
<=> ! [X1] :
( ~ class_Numeral_Onumber__ring(X1)
| c_0 = c_NatArith_Oof__nat(c_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3277,plain,
! [X1,X47] :
( ~ class_Numeral_Onumber__ring(X1)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_NatArith_Oof__nat(c_0,X1) ),
inference(forward_subsumption_demodulation,[],[f1868,f1832]) ).
fof(f1868,axiom,
! [X47,X1] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X47,tc_nat),X1)
| ~ class_Numeral_Onumber__ring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f3276,plain,
spl0_44,
inference(avatar_split_clause,[],[f137,f3273]) ).
fof(f3273,plain,
( spl0_44
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f137,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3271,plain,
spl0_43,
inference(avatar_split_clause,[],[f2826,f3268]) ).
fof(f2826,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_Message_Osynth(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3266,plain,
spl0_42,
inference(avatar_split_clause,[],[f1681,f3263]) ).
fof(f3263,plain,
( spl0_42
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1681,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3261,plain,
spl0_41,
inference(avatar_split_clause,[],[f161,f3258]) ).
fof(f3258,plain,
( spl0_41
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3256,plain,
( spl0_40
| spl0_6 ),
inference(avatar_split_clause,[],[f3251,f3078,f3253]) ).
fof(f3251,plain,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_0) ),
inference(forward_subsumption_demodulation,[],[f1851,f1832]) ).
fof(f1851,axiom,
! [X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_Numeral_Onumber__of(X47,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f3250,plain,
spl0_39,
inference(avatar_split_clause,[],[f159,f3247]) ).
fof(f3247,plain,
( spl0_39
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3245,plain,
spl0_38,
inference(avatar_split_clause,[],[f124,f3242]) ).
fof(f3242,plain,
( spl0_38
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3240,plain,
spl0_37,
inference(avatar_split_clause,[],[f130,f3237]) ).
fof(f3237,plain,
( spl0_37
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f130,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3235,plain,
spl0_36,
inference(avatar_split_clause,[],[f231,f3232]) ).
fof(f3232,plain,
( spl0_36
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3230,plain,
spl0_35,
inference(avatar_split_clause,[],[f1686,f3227]) ).
fof(f3227,plain,
( spl0_35
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1686,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f3225,plain,
spl0_34,
inference(avatar_split_clause,[],[f150,f3222]) ).
fof(f3222,plain,
( spl0_34
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f150,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3220,plain,
( spl0_33
| spl0_6 ),
inference(avatar_split_clause,[],[f3216,f3078,f3218]) ).
fof(f3218,plain,
( spl0_33
<=> ! [X83] : c_0 = c_Divides_Oop_Amod(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3216,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Divides_Oop_Amod(c_0,c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1860,f1832]) ).
fof(f1860,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Omod__nat__number__of_0) ).
fof(f3215,plain,
spl0_32,
inference(avatar_split_clause,[],[f220,f3212]) ).
fof(f3212,plain,
( spl0_32
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f220,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3210,plain,
spl0_31,
inference(avatar_split_clause,[],[f1683,f3207]) ).
fof(f3207,plain,
( spl0_31
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1683,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3205,plain,
spl0_30,
inference(avatar_split_clause,[],[f1377,f3202]) ).
fof(f1377,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3200,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f3199,f3083,f3078]) ).
fof(f3199,plain,
! [X83,X47] :
( c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1835,f1832]) ).
fof(f1835,axiom,
! [X83,X47] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) != c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_1) ).
fof(f3198,plain,
spl0_29,
inference(avatar_split_clause,[],[f219,f3195]) ).
fof(f3195,plain,
( spl0_29
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f219,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3192,plain,
spl0_28,
inference(avatar_split_clause,[],[f158,f3189]) ).
fof(f3189,plain,
( spl0_28
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3187,plain,
spl0_27,
inference(avatar_split_clause,[],[f162,f3184]) ).
fof(f3184,plain,
( spl0_27
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3182,plain,
spl0_26,
inference(avatar_split_clause,[],[f175,f3179]) ).
fof(f3179,plain,
( spl0_26
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3177,plain,
spl0_25,
inference(avatar_split_clause,[],[f2944,f3174]) ).
fof(f3174,plain,
( spl0_25
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2944,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f2134,f2112]) ).
fof(f2134,axiom,
c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).
fof(f3172,plain,
spl0_24,
inference(avatar_split_clause,[],[f177,f3169]) ).
fof(f3169,plain,
( spl0_24
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3167,plain,
spl0_23,
inference(avatar_split_clause,[],[f167,f3164]) ).
fof(f3164,plain,
( spl0_23
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3162,plain,
spl0_22,
inference(avatar_split_clause,[],[f2827,f3159]) ).
fof(f2827,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3157,plain,
spl0_21,
inference(avatar_split_clause,[],[f138,f3154]) ).
fof(f3154,plain,
( spl0_21
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f138,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3152,plain,
spl0_7,
inference(avatar_split_clause,[],[f1831,f3083]) ).
fof(f1831,axiom,
! [X47] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Numeral_Onumber__of(X47,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_0) ).
fof(f3151,plain,
spl0_20,
inference(avatar_split_clause,[],[f215,f3148]) ).
fof(f3148,plain,
( spl0_20
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f215,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3146,plain,
spl0_19,
inference(avatar_split_clause,[],[f186,f3143]) ).
fof(f3143,plain,
( spl0_19
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f186,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3141,plain,
spl0_18,
inference(avatar_split_clause,[],[f2043,f3138]) ).
fof(f3138,plain,
( spl0_18
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2043,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3136,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f1250,f3133]) ).
fof(f1250,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3131,plain,
spl0_16,
inference(avatar_split_clause,[],[f243,f3128]) ).
fof(f3128,plain,
( spl0_16
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3126,plain,
spl0_15,
inference(avatar_split_clause,[],[f241,f3123]) ).
fof(f3123,plain,
( spl0_15
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3121,plain,
spl0_14,
inference(avatar_split_clause,[],[f182,f3118]) ).
fof(f3118,plain,
( spl0_14
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f182,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3116,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f3115,f3088,f3078]) ).
fof(f3115,plain,
! [X83,X47] :
( c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f3052,f1832]) ).
fof(f3052,plain,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f1837]) ).
fof(f1837,axiom,
! [X83,X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3113,plain,
spl0_13,
inference(avatar_split_clause,[],[f168,f3110]) ).
fof(f3110,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3108,plain,
spl0_12,
inference(avatar_split_clause,[],[f2155,f3105]) ).
fof(f3105,plain,
( spl0_12
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2155,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3103,plain,
spl0_11,
inference(avatar_split_clause,[],[f164,f3100]) ).
fof(f3100,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3098,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f1370,f3095]) ).
fof(f1370,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3093,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f3086,f3091,f3088]) ).
fof(f3091,plain,
( spl0_9
<=> ! [X83] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f3086,plain,
! [X83,X47] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X47,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1845,f1832]) ).
fof(f1845,axiom,
! [X83,X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Numeral_Onumber__of(X83,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_8) ).
fof(f3085,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f3081,f3083,f3078]) ).
fof(f3081,plain,
! [X83,X47] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Numeral_Onumber__of(X83,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1834,f1832]) ).
fof(f1834,axiom,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oiszero(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) != c_Numeral_Onumber__of(X83,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_0) ).
fof(f3080,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f3073,f3078,f3075]) ).
fof(f3075,plain,
( spl0_5
<=> ! [X47] :
( c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3073,plain,
! [X83,X47] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f1861,f1832]) ).
fof(f1861,axiom,
! [X83,X47] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X47,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X47,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X47,tc_nat),c_Numeral_Onumber__of(X83,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X83,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Omod__nat__number__of_1) ).
fof(f3072,plain,
spl0_4,
inference(avatar_split_clause,[],[f1350,f3069]) ).
fof(f3069,plain,
( spl0_4
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1350,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3067,plain,
spl0_3,
inference(avatar_split_clause,[],[f2920,f3064]) ).
fof(f2920,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f2125,f2129]) ).
fof(f2125,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3062,plain,
spl0_2,
inference(avatar_split_clause,[],[f181,f3059]) ).
fof(f3059,plain,
( spl0_2
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3057,plain,
spl0_1,
inference(avatar_split_clause,[],[f2791,f3054]) ).
fof(f3054,plain,
( spl0_1
<=> c_emptyset = c_Message_Oanalz(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2791,axiom,
c_emptyset = c_Message_Oanalz(c_emptyset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWV271-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 19:15:05 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.51 % (32366)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (32361)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (32369)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52 % (32383)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.52 % (32385)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52 % (32374)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.53 % (32359)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.54 % (32360)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (32357)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.54 % (32363)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.55 % (32367)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.55 % (32381)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.55 % (32384)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.55 % (32376)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (32364)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.56 % (32386)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.56 % (32378)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.56 % (32375)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.57 % (32380)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.57 % (32370)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.57 % (32372)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.57 % (32371)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.57 % (32368)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.58 % (32358)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.58 % (32362)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.58 % (32365)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.58 % (32365)Instruction limit reached!
% 0.16/0.58 % (32365)------------------------------
% 0.16/0.58 % (32365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (32365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (32365)Termination reason: Unknown
% 0.16/0.58 % (32365)Termination phase: shuffling
% 0.16/0.58
% 0.16/0.58 % (32365)Memory used [KB]: 2942
% 0.16/0.58 % (32365)Time elapsed: 0.003 s
% 0.16/0.58 % (32365)Instructions burned: 2 (million)
% 0.16/0.58 % (32365)------------------------------
% 0.16/0.58 % (32365)------------------------------
% 0.16/0.58 % (32364)Instruction limit reached!
% 0.16/0.58 % (32364)------------------------------
% 0.16/0.58 % (32364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (32364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (32364)Termination reason: Unknown
% 0.16/0.58 % (32364)Termination phase: Function definition elimination
% 0.16/0.58
% 0.16/0.58 % (32364)Memory used [KB]: 3326
% 0.16/0.58 % (32364)Time elapsed: 0.013 s
% 0.16/0.58 % (32364)Instructions burned: 7 (million)
% 0.16/0.58 % (32364)------------------------------
% 0.16/0.58 % (32364)------------------------------
% 1.55/0.60 % (32366)Instruction limit reached!
% 1.55/0.60 % (32366)------------------------------
% 1.55/0.60 % (32366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (32366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (32366)Termination reason: Unknown
% 1.55/0.60 % (32366)Termination phase: Saturation
% 1.55/0.60
% 1.55/0.60 % (32366)Memory used [KB]: 4093
% 1.55/0.60 % (32366)Time elapsed: 0.033 s
% 1.55/0.60 % (32366)Instructions burned: 51 (million)
% 1.55/0.60 % (32366)------------------------------
% 1.55/0.60 % (32366)------------------------------
% 1.55/0.60 % (32374)Instruction limit reached!
% 1.55/0.60 % (32374)------------------------------
% 1.55/0.60 % (32374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (32374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (32374)Termination reason: Unknown
% 1.55/0.60 % (32374)Termination phase: Blocked clause elimination
% 1.55/0.60
% 1.55/0.60 % (32374)Memory used [KB]: 4093
% 1.55/0.60 % (32374)Time elapsed: 0.035 s
% 1.55/0.60 % (32374)Instructions burned: 59 (million)
% 1.55/0.60 % (32374)------------------------------
% 1.55/0.60 % (32374)------------------------------
% 1.64/0.61 % (32361)Instruction limit reached!
% 1.64/0.61 % (32361)------------------------------
% 1.64/0.61 % (32361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (32361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (32361)Termination reason: Unknown
% 1.64/0.61 % (32361)Termination phase: Property scanning
% 1.64/0.61
% 1.64/0.61 % (32361)Memory used [KB]: 3454
% 1.64/0.61 % (32361)Time elapsed: 0.034 s
% 1.64/0.61 % (32361)Instructions burned: 52 (million)
% 1.64/0.61 % (32361)------------------------------
% 1.64/0.61 % (32361)------------------------------
% 1.64/0.62 % (32359)Instruction limit reached!
% 1.64/0.62 % (32359)------------------------------
% 1.64/0.62 % (32359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (32359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (32359)Termination reason: Unknown
% 1.64/0.62 % (32359)Termination phase: Property scanning
% 1.64/0.62
% 1.64/0.62 % (32359)Memory used [KB]: 3454
% 1.64/0.62 % (32359)Time elapsed: 0.025 s
% 1.64/0.62 % (32359)Instructions burned: 38 (million)
% 1.64/0.62 % (32359)------------------------------
% 1.64/0.62 % (32359)------------------------------
% 1.64/0.62 % (32377)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.64/0.62 % (32383)Instruction limit reached!
% 1.64/0.62 % (32383)------------------------------
% 1.64/0.62 % (32383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (32383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (32383)Termination reason: Unknown
% 1.64/0.62 % (32383)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (32383)Memory used [KB]: 10362
% 1.64/0.62 % (32383)Time elapsed: 0.051 s
% 1.64/0.62 % (32383)Instructions burned: 68 (million)
% 1.64/0.62 % (32383)------------------------------
% 1.64/0.62 % (32383)------------------------------
% 1.78/0.62 % (32382)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.78/0.62 % (32363)Instruction limit reached!
% 1.78/0.62 % (32363)------------------------------
% 1.78/0.62 % (32363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (32363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (32363)Termination reason: Unknown
% 1.78/0.62 % (32363)Termination phase: Finite model building preprocessing
% 1.78/0.62
% 1.78/0.62 % (32363)Memory used [KB]: 4221
% 1.78/0.62 % (32363)Time elapsed: 0.036 s
% 1.78/0.62 % (32363)Instructions burned: 53 (million)
% 1.78/0.62 % (32363)------------------------------
% 1.78/0.62 % (32363)------------------------------
% 1.78/0.63 % (32373)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.78/0.64 % (32379)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.78/0.65 % (32360)Instruction limit reached!
% 1.78/0.65 % (32360)------------------------------
% 1.78/0.65 % (32360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.65 % (32360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.65 % (32360)Termination reason: Unknown
% 1.78/0.65 % (32360)Termination phase: Saturation
% 1.78/0.65
% 1.78/0.65 % (32360)Memory used [KB]: 8571
% 1.78/0.65 % (32360)Time elapsed: 0.034 s
% 1.78/0.65 % (32360)Instructions burned: 51 (million)
% 1.78/0.65 % (32360)------------------------------
% 1.78/0.65 % (32360)------------------------------
% 1.78/0.66 % (32367)Instruction limit reached!
% 1.78/0.66 % (32367)------------------------------
% 1.78/0.66 % (32367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.66 % (32367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.66 % (32367)Termination reason: Unknown
% 1.78/0.66 % (32367)Termination phase: Saturation
% 1.78/0.66
% 1.78/0.66 % (32367)Memory used [KB]: 8315
% 1.78/0.66 % (32367)Time elapsed: 0.035 s
% 1.78/0.66 % (32367)Instructions burned: 50 (million)
% 1.78/0.66 % (32367)------------------------------
% 1.78/0.66 % (32367)------------------------------
% 1.78/0.66 % (32358)Instruction limit reached!
% 1.78/0.66 % (32358)------------------------------
% 1.78/0.66 % (32358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.66 % (32358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.66 % (32358)Termination reason: Unknown
% 1.78/0.66 % (32358)Termination phase: Saturation
% 1.78/0.66
% 1.78/0.66 % (32358)Memory used [KB]: 8443
% 1.78/0.66 % (32358)Time elapsed: 0.034 s
% 1.78/0.66 % (32358)Instructions burned: 50 (million)
% 1.78/0.66 % (32358)------------------------------
% 1.78/0.66 % (32358)------------------------------
% 1.78/0.69 % (32362)Instruction limit reached!
% 1.78/0.69 % (32362)------------------------------
% 1.78/0.69 % (32362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.69 % (32362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.69 % (32362)Termination reason: Unknown
% 1.78/0.69 % (32362)Termination phase: Saturation
% 1.78/0.69
% 1.78/0.69 % (32362)Memory used [KB]: 8187
% 1.78/0.69 % (32362)Time elapsed: 0.035 s
% 1.78/0.69 % (32362)Instructions burned: 49 (million)
% 1.78/0.69 % (32362)------------------------------
% 1.78/0.69 % (32362)------------------------------
% 1.78/0.70 % (32372)Instruction limit reached!
% 1.78/0.70 % (32372)------------------------------
% 1.78/0.70 % (32372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.71 % (32371)Instruction limit reached!
% 2.28/0.71 % (32371)------------------------------
% 2.28/0.71 % (32371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.71 % (32371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.71 % (32371)Termination reason: Unknown
% 2.28/0.71 % (32371)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (32371)Memory used [KB]: 10618
% 2.28/0.71 % (32371)Time elapsed: 0.048 s
% 2.28/0.71 % (32371)Instructions burned: 69 (million)
% 2.28/0.71 % (32371)------------------------------
% 2.28/0.71 % (32371)------------------------------
% 2.28/0.71 % (32372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.71 % (32372)Termination reason: Unknown
% 2.28/0.71 % (32372)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (32372)Memory used [KB]: 4093
% 2.28/0.71 % (32372)Time elapsed: 0.055 s
% 2.28/0.71 % (32372)Instructions burned: 75 (million)
% 2.28/0.71 % (32372)------------------------------
% 2.28/0.71 % (32372)------------------------------
% 2.28/0.72 % (32388)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.28/0.74 % (32390)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.28/0.75 % (32369)Instruction limit reached!
% 2.28/0.75 % (32369)------------------------------
% 2.28/0.75 % (32369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.75 % (32369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.75 % (32369)Termination reason: Unknown
% 2.28/0.75 % (32369)Termination phase: Saturation
% 2.28/0.75
% 2.28/0.75 % (32369)Memory used [KB]: 9210
% 2.28/0.75 % (32369)Time elapsed: 0.071 s
% 2.28/0.75 % (32369)Instructions burned: 102 (million)
% 2.28/0.75 % (32369)------------------------------
% 2.28/0.75 % (32369)------------------------------
% 2.28/0.75 % (32392)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.28/0.76 % (32368)Instruction limit reached!
% 2.28/0.76 % (32368)------------------------------
% 2.28/0.76 % (32368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.76 % (32368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.76 % (32368)Termination reason: Unknown
% 2.28/0.76 % (32368)Termination phase: Saturation
% 2.28/0.76
% 2.28/0.76 % (32368)Memory used [KB]: 9210
% 2.28/0.76 % (32368)Time elapsed: 0.324 s
% 2.28/0.76 % (32368)Instructions burned: 100 (million)
% 2.28/0.76 % (32368)------------------------------
% 2.28/0.76 % (32368)------------------------------
% 2.28/0.77 % (32387)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.28/0.77 % (32391)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.28/0.77 % (32393)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.28/0.77 % (32376)Instruction limit reached!
% 2.28/0.77 % (32376)------------------------------
% 2.28/0.77 % (32376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77 % (32376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.77 % (32376)Termination reason: Unknown
% 2.28/0.77 % (32376)Termination phase: Saturation
% 2.28/0.77
% 2.28/0.77 % (32376)Memory used [KB]: 4349
% 2.28/0.77 % (32376)Time elapsed: 0.065 s
% 2.28/0.77 % (32376)Instructions burned: 100 (million)
% 2.28/0.77 % (32376)------------------------------
% 2.28/0.77 % (32376)------------------------------
% 2.28/0.78 % (32394)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.28/0.79 % (32375)Instruction limit reached!
% 2.28/0.79 % (32375)------------------------------
% 2.28/0.79 % (32375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.79 % (32375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.79 % (32375)Termination reason: Unknown
% 2.28/0.79 % (32375)Termination phase: Saturation
% 2.28/0.79
% 2.28/0.79 % (32375)Memory used [KB]: 9338
% 2.28/0.79 % (32375)Time elapsed: 0.069 s
% 2.28/0.79 % (32375)Instructions burned: 100 (million)
% 2.28/0.79 % (32375)------------------------------
% 2.28/0.79 % (32375)------------------------------
% 2.63/0.79 % (32370)Instruction limit reached!
% 2.63/0.79 % (32370)------------------------------
% 2.63/0.79 % (32370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.79 % (32370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.79 % (32370)Termination reason: Unknown
% 2.63/0.79 % (32370)Termination phase: Saturation
% 2.63/0.79
% 2.63/0.79 % (32370)Memory used [KB]: 9083
% 2.63/0.79 % (32370)Time elapsed: 0.076 s
% 2.63/0.79 % (32370)Instructions burned: 100 (million)
% 2.63/0.79 % (32370)------------------------------
% 2.63/0.79 % (32370)------------------------------
% 2.63/0.80 % (32373)Instruction limit reached!
% 2.63/0.80 % (32373)------------------------------
% 2.63/0.80 % (32373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.80 % (32373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.80 % (32373)Termination reason: Unknown
% 2.63/0.80 % (32373)Termination phase: Saturation
% 2.63/0.80
% 2.63/0.80 % (32373)Memory used [KB]: 8443
% 2.63/0.80 % (32373)Time elapsed: 0.355 s
% 2.63/0.80 % (32373)Instructions burned: 99 (million)
% 2.63/0.80 % (32373)------------------------------
% 2.63/0.80 % (32373)------------------------------
% 2.63/0.80 % (32389)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.63/0.81 % (32395)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.63/0.82 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.63/0.84 % (32396)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.63/0.84 % (32397)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.63/0.85 % (32399)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.63/0.87 % (32398)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.92/0.89 % (32400)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.92/0.89 % (32394)Instruction limit reached!
% 2.92/0.89 % (32394)------------------------------
% 2.92/0.89 % (32394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.89 % (32401)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.92/0.90 % (32378)Instruction limit reached!
% 2.92/0.90 % (32378)------------------------------
% 2.92/0.90 % (32378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.90 % (32378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.90 % (32378)Termination reason: Unknown
% 2.92/0.90 % (32378)Termination phase: Saturation
% 2.92/0.90
% 2.92/0.90 % (32378)Memory used [KB]: 9722
% 2.92/0.90 % (32378)Time elapsed: 0.096 s
% 2.92/0.90 % (32378)Instructions burned: 138 (million)
% 2.92/0.90 % (32378)------------------------------
% 2.92/0.90 % (32378)------------------------------
% 2.99/0.91 % (32394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.91 % (32394)Termination reason: Unknown
% 2.99/0.91 % (32394)Termination phase: Saturation
% 2.99/0.91
% 2.99/0.91 % (32394)Memory used [KB]: 10618
% 2.99/0.91 % (32394)Time elapsed: 0.048 s
% 2.99/0.91 % (32394)Instructions burned: 68 (million)
% 2.99/0.91 % (32394)------------------------------
% 2.99/0.91 % (32394)------------------------------
% 2.99/0.92 % (32384)Instruction limit reached!
% 2.99/0.92 % (32384)------------------------------
% 2.99/0.92 % (32384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.92 % (32384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.92 % (32384)Termination reason: Unknown
% 2.99/0.92 % (32384)Termination phase: Saturation
% 2.99/0.92
% 2.99/0.92 % (32384)Memory used [KB]: 5628
% 2.99/0.92 % (32384)Time elapsed: 0.452 s
% 2.99/0.92 % (32384)Instructions burned: 178 (million)
% 2.99/0.92 % (32384)------------------------------
% 2.99/0.92 % (32384)------------------------------
% 3.13/0.94 % (32402)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.13/0.94 % (32405)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.13/0.96 % (32406)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.13/0.97 % (32389)Instruction limit reached!
% 3.13/0.97 % (32389)------------------------------
% 3.13/0.97 % (32389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.97 % (32389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.97 % (32389)Termination reason: Unknown
% 3.13/0.97 % (32389)Termination phase: Saturation
% 3.13/0.97
% 3.13/0.97 % (32389)Memory used [KB]: 8571
% 3.13/0.97 % (32389)Time elapsed: 0.303 s
% 3.13/0.97 % (32389)Instructions burned: 90 (million)
% 3.13/0.97 % (32389)------------------------------
% 3.13/0.97 % (32389)------------------------------
% 3.13/0.97 % (32403)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.13/0.97 % (32404)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.13/1.01 % (32397)Instruction limit reached!
% 3.13/1.01 % (32397)------------------------------
% 3.13/1.01 % (32397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/1.01 % (32397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/1.01 % (32397)Termination reason: Unknown
% 3.13/1.01 % (32397)Termination phase: Saturation
% 3.13/1.01
% 3.13/1.01 % (32397)Memory used [KB]: 8443
% 3.13/1.01 % (32397)Time elapsed: 0.296 s
% 3.13/1.01 % (32397)Instructions burned: 90 (million)
% 3.13/1.01 % (32397)------------------------------
% 3.13/1.01 % (32397)------------------------------
% 3.41/1.03 % (32377)Instruction limit reached!
% 3.41/1.03 % (32377)------------------------------
% 3.41/1.03 % (32377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/1.03 % (32377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/1.03 % (32377)Termination reason: Unknown
% 3.41/1.03 % (32377)Termination phase: Saturation
% 3.41/1.03
% 3.41/1.03 % (32377)Memory used [KB]: 9850
% 3.41/1.03 % (32377)Time elapsed: 0.119 s
% 3.41/1.03 % (32377)Instructions burned: 176 (million)
% 3.41/1.03 % (32377)------------------------------
% 3.41/1.03 % (32377)------------------------------
% 3.41/1.06 % (32407)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.66/1.09 % (32409)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 3.66/1.12 % (32404)Instruction limit reached!
% 3.66/1.12 % (32404)------------------------------
% 3.66/1.12 % (32404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.66/1.12 % (32404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.66/1.12 % (32404)Termination reason: Unknown
% 3.66/1.12 % (32404)Termination phase: Saturation
% 3.66/1.12
% 3.66/1.12 % (32404)Memory used [KB]: 10618
% 3.66/1.12 % (32404)Time elapsed: 0.041 s
% 3.66/1.12 % (32404)Instructions burned: 68 (million)
% 3.66/1.12 % (32404)------------------------------
% 3.66/1.12 % (32404)------------------------------
% 3.66/1.14 % (32411)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 3.66/1.15 % (32410)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 3.66/1.16 % (32408)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.17/1.19 % (32388)Instruction limit reached!
% 6.17/1.19 % (32388)------------------------------
% 6.17/1.19 % (32388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.17/1.19 % (32388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.17/1.19 % (32388)Termination reason: Unknown
% 6.17/1.19 % (32388)Termination phase: Saturation
% 6.17/1.19
% 6.17/1.19 % (32388)Memory used [KB]: 5884
% 6.17/1.19 % (32388)Time elapsed: 0.529 s
% 6.17/1.19 % (32388)Instructions burned: 212 (million)
% 6.17/1.19 % (32388)------------------------------
% 6.17/1.19 % (32388)------------------------------
% 6.46/1.22 % (32412)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 7.10/1.31 % (32409)Instruction limit reached!
% 7.10/1.31 % (32409)------------------------------
% 7.10/1.31 % (32409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.10/1.31 % (32409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.10/1.31 % (32409)Termination reason: Unknown
% 7.10/1.31 % (32409)Termination phase: Saturation
% 7.10/1.31
% 7.10/1.31 % (32409)Memory used [KB]: 8571
% 7.10/1.31 % (32409)Time elapsed: 0.317 s
% 7.10/1.31 % (32409)Instructions burned: 90 (million)
% 7.10/1.31 % (32409)------------------------------
% 7.10/1.31 % (32409)------------------------------
% 7.10/1.32 % (32413)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 7.10/1.36 % (32414)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 7.60/1.38 % (32386)Instruction limit reached!
% 7.60/1.38 % (32386)------------------------------
% 7.60/1.38 % (32386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.60/1.38 % (32386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.60/1.38 % (32386)Termination reason: Unknown
% 7.60/1.38 % (32386)Termination phase: Saturation
% 7.60/1.38
% 7.60/1.38 % (32386)Memory used [KB]: 13048
% 7.60/1.38 % (32386)Time elapsed: 0.889 s
% 7.60/1.38 % (32386)Instructions burned: 356 (million)
% 7.60/1.38 % (32386)------------------------------
% 7.60/1.38 % (32386)------------------------------
% 7.60/1.39 % (32387)Instruction limit reached!
% 7.60/1.39 % (32387)------------------------------
% 7.60/1.39 % (32387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.60/1.39 % (32387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.60/1.39 % (32387)Termination reason: Unknown
% 7.60/1.39 % (32387)Termination phase: Saturation
% 7.60/1.39
% 7.60/1.39 % (32387)Memory used [KB]: 11001
% 7.60/1.39 % (32387)Time elapsed: 0.758 s
% 7.60/1.39 % (32387)Instructions burned: 388 (million)
% 7.60/1.39 % (32387)------------------------------
% 7.60/1.39 % (32387)------------------------------
% 7.60/1.43 TRYING [1]
% 8.34/1.48 % (32380)Instruction limit reached!
% 8.34/1.48 % (32380)------------------------------
% 8.34/1.48 % (32380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.34/1.49 % (32415)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 8.34/1.49 % (32380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.50/1.50 % (32380)Termination reason: Unknown
% 8.50/1.50 % (32380)Termination phase: Saturation
% 8.50/1.50
% 8.50/1.50 % (32380)Memory used [KB]: 13432
% 8.50/1.50 % (32380)Time elapsed: 0.883 s
% 8.50/1.50 % (32380)Instructions burned: 467 (million)
% 8.50/1.50 % (32380)------------------------------
% 8.50/1.50 % (32380)------------------------------
% 8.67/1.55 % (32416)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.67/1.55 % (32385)Instruction limit reached!
% 8.67/1.55 % (32385)------------------------------
% 8.67/1.55 % (32385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.67/1.56 % (32385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.67/1.56 % (32385)Termination reason: Unknown
% 8.67/1.56 % (32385)Termination phase: Saturation
% 8.67/1.56
% 8.67/1.56 % (32385)Memory used [KB]: 12792
% 8.67/1.56 % (32385)Time elapsed: 1.115 s
% 8.67/1.56 % (32385)Instructions burned: 439 (million)
% 8.67/1.56 % (32385)------------------------------
% 8.67/1.56 % (32385)------------------------------
% 8.67/1.57 % (32417)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 9.17/1.66 % (32418)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/90Mi)
% 10.15/1.73 % (32381)Instruction limit reached!
% 10.15/1.73 % (32381)------------------------------
% 10.15/1.73 % (32381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.15/1.73 % (32381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.15/1.73 % (32381)Termination reason: Unknown
% 10.15/1.73 % (32381)Termination phase: Saturation
% 10.15/1.73
% 10.15/1.73 % (32381)Memory used [KB]: 14711
% 10.15/1.73 % (32381)Time elapsed: 1.265 s
% 10.15/1.73 % (32381)Instructions burned: 483 (million)
% 10.15/1.73 % (32381)------------------------------
% 10.15/1.73 % (32381)------------------------------
% 10.15/1.73 % (32419)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/44001Mi)
% 10.15/1.75 % (32379)Instruction limit reached!
% 10.15/1.75 % (32379)------------------------------
% 10.15/1.75 % (32379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.15/1.75 % (32379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.15/1.75 % (32379)Termination reason: Unknown
% 10.15/1.75 % (32379)Termination phase: Saturation
% 10.15/1.75
% 10.15/1.75 % (32379)Memory used [KB]: 6908
% 10.15/1.75 % (32379)Time elapsed: 1.299 s
% 10.15/1.75 % (32379)Instructions burned: 498 (million)
% 10.15/1.75 % (32379)------------------------------
% 10.15/1.75 % (32379)------------------------------
% 10.15/1.77 % (32382)Instruction limit reached!
% 10.15/1.77 % (32382)------------------------------
% 10.15/1.77 % (32382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.15/1.77 % (32382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.15/1.77 % (32382)Termination reason: Unknown
% 10.15/1.77 % (32382)Termination phase: Saturation
% 10.15/1.77
% 10.15/1.77 % (32382)Memory used [KB]: 12792
% 10.15/1.77 % (32382)Time elapsed: 1.301 s
% 10.15/1.77 % (32382)Instructions burned: 501 (million)
% 10.15/1.77 % (32382)------------------------------
% 10.15/1.77 % (32382)------------------------------
% 11.11/1.82 % (32418)Instruction limit reached!
% 11.11/1.82 % (32418)------------------------------
% 11.11/1.82 % (32418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.20/1.83 % (32418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.20/1.83 % (32418)Termination reason: Unknown
% 11.20/1.83 % (32418)Termination phase: Saturation
% 11.20/1.83
% 11.20/1.83 % (32418)Memory used [KB]: 8571
% 11.20/1.83 % (32418)Time elapsed: 0.265 s
% 11.20/1.83 % (32418)Instructions burned: 92 (million)
% 11.20/1.83 % (32418)------------------------------
% 11.20/1.83 % (32418)------------------------------
% 11.20/1.84 % (32400)First to succeed.
% 11.20/1.86 % (32400)Refutation found. Thanks to Tanya!
% 11.20/1.86 % SZS status Unsatisfiable for theBenchmark
% 11.20/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 11.20/1.87 % (32400)------------------------------
% 11.20/1.87 % (32400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.20/1.87 % (32400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.20/1.87 % (32400)Termination reason: Refutation
% 11.20/1.87
% 11.20/1.87 % (32400)Memory used [KB]: 6012
% 11.20/1.87 % (32400)Time elapsed: 1.071 s
% 11.20/1.87 % (32400)Instructions burned: 498 (million)
% 11.20/1.87 % (32400)------------------------------
% 11.20/1.87 % (32400)------------------------------
% 11.20/1.87 % (32356)Success in time 1.54 s
%------------------------------------------------------------------------------