TSTP Solution File: LAT281-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT281-1 : 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 : n003.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 17:36:36 EDT 2022
% Result : Unsatisfiable 9.05s 1.67s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 377
% Syntax : Number of formulae : 657 ( 356 unt; 0 def)
% Number of atoms : 1055 ( 194 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 634 ( 236 ~; 219 |; 0 &)
% ( 179 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 247 ( 245 usr; 180 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 45 con; 0-5 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4715,plain,
$false,
inference(avatar_smt_refutation,[],[f2976,f2981,f2986,f2991,f2996,f3001,f3006,f3011,f3016,f3021,f3026,f3031,f3036,f3041,f3046,f3051,f3056,f3061,f3067,f3073,f3078,f3086,f3091,f3098,f3104,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3145,f3150,f3155,f3160,f3166,f3171,f3176,f3181,f3186,f3191,f3197,f3202,f3207,f3212,f3217,f3222,f3228,f3233,f3238,f3243,f3248,f3249,f3254,f3259,f3264,f3269,f3274,f3279,f3284,f3289,f3294,f3300,f3301,f3307,f3312,f3317,f3323,f3328,f3333,f3338,f3343,f3346,f3351,f3357,f3361,f3366,f3371,f3372,f3374,f3383,f3388,f3394,f3399,f3405,f3410,f3415,f3421,f3426,f3431,f3436,f3441,f3446,f3451,f3456,f3463,f3468,f3473,f3478,f3483,f3488,f3493,f3498,f3503,f3508,f3513,f3522,f3527,f3532,f3537,f3542,f3543,f3549,f3554,f3559,f3564,f3570,f3575,f3580,f3585,f3587,f3593,f3598,f3603,f3609,f3614,f3619,f3624,f3630,f3636,f3641,f3646,f3647,f3652,f3657,f3662,f3667,f3672,f3677,f3682,f3687,f3692,f3700,f3705,f3711,f3718,f3724,f3729,f3735,f3745,f3750,f3759,f3764,f3769,f3774,f3779,f3787,f3792,f3797,f3799,f3805,f3810,f3815,f3821,f3827,f3832,f3837,f3842,f3913,f3945,f3951,f3957,f3963,f3969,f3975,f4024,f4034,f4041,f4049,f4064,f4471,f4473,f4631,f4655,f4656,f4703,f4714]) ).
fof(f4714,plain,
( spl0_29
| ~ spl0_17
| ~ spl0_94
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f4713,f4038,f3465,f3053,f3117]) ).
fof(f3117,plain,
( spl0_29
<=> c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3053,plain,
( spl0_17
<=> c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3465,plain,
( spl0_94
<=> c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f4038,plain,
( spl0_172
<=> c_Relation_Otrans(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f4713,plain,
( c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_17
| ~ spl0_94
| ~ spl0_172 ),
inference(resolution,[],[f4558,f3467]) ).
fof(f3467,plain,
( c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f3465]) ).
fof(f4558,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_b,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_17
| ~ spl0_172 ),
inference(resolution,[],[f4066,f3055]) ).
fof(f3055,plain,
( c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f4066,plain,
( ! [X3,X4,X5] :
( ~ c_in(c_Pair(X3,X5,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X5,X4,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X3,X4,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_172 ),
inference(resolution,[],[f2737,f4040]) ).
fof(f4040,plain,
( c_Relation_Otrans(v_r,t_a)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f4038]) ).
fof(f2737,axiom,
! [X3,X54,X30,X20,X93] :
( ~ c_Relation_Otrans(X20,X3)
| c_in(c_Pair(X30,X93,X3,X3),X20,tc_prod(X3,X3))
| ~ c_in(c_Pair(X54,X93,X3,X3),X20,tc_prod(X3,X3))
| ~ c_in(c_Pair(X30,X54,X3,X3),X20,tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).
fof(f4703,plain,
( spl0_179
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4699,f3028,f4701]) ).
fof(f4701,plain,
( spl0_179
<=> ! [X0] : c_0 = c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X0,c_1,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f3028,plain,
( spl0_12
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f4699,plain,
! [X0] :
( ~ c_less(c_0,c_1,tc_nat)
| c_0 = c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X0,c_1,tc_nat),tc_nat) ),
inference(resolution,[],[f898,f3062]) ).
fof(f3062,plain,
! [X10,X24] :
( c_less(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X24,X10,tc_nat),tc_nat),X10,tc_nat)
| ~ c_less(c_0,X10,tc_nat) ),
inference(backward_demodulation,[],[f2932,f2786]) ).
fof(f2786,plain,
! [X38,X74] : c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X74,X38,tc_nat),tc_nat) = c_minus(X38,c_Finite__Set_Ocard(c_SetInterval_OatMost(X74,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1397,f1394]) ).
fof(f1394,axiom,
! [X38] : c_Suc(X38) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X38,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f1397,axiom,
! [X38,X74] : c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X74,X38,tc_nat),tc_nat) = c_minus(X38,c_Suc(X74),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__greaterThanLessThan_0) ).
fof(f2932,plain,
! [X10,X24] :
( c_less(c_minus(X10,c_Finite__Set_Ocard(c_SetInterval_OatMost(X24,tc_nat),tc_nat),tc_nat),X10,tc_nat)
| ~ c_less(c_0,X10,tc_nat) ),
inference(definition_unfolding,[],[f886,f1394]) ).
fof(f886,axiom,
! [X10,X24] :
( ~ c_less(c_0,X10,tc_nat)
| c_less(c_minus(X10,c_Suc(X24),tc_nat),X10,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__Suc__less_0) ).
fof(f898,axiom,
! [X10] :
( ~ c_less(X10,c_1,tc_nat)
| c_0 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_0) ).
fof(f4656,plain,
( spl0_178
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f4647,f3402,f3028,f4652]) ).
fof(f4652,plain,
( spl0_178
<=> c_1 = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f3402,plain,
( spl0_82
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f4647,plain,
( c_1 = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat)
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f4619,f3030]) ).
fof(f3030,plain,
( c_less(c_0,c_1,tc_nat)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f4619,plain,
( ! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),tc_nat) = X8 )
| ~ spl0_82 ),
inference(backward_demodulation,[],[f4324,f4605]) ).
fof(f4605,plain,
( ! [X6] : c_plus(c_1,X6,tc_nat) = c_plus(X6,c_1,tc_nat)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4604,f4171]) ).
fof(f4171,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = X0
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4170,f876]) ).
fof(f876,axiom,
! [X8] : c_plus(X8,c_0,tc_nat) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).
fof(f4170,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = c_plus(X0,c_0,tc_nat)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4148,f948]) ).
fof(f948,axiom,
! [X10] : c_0 = c_times(c_0,X10,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__0_0) ).
fof(f4148,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = c_plus(X0,c_times(c_0,X0,tc_nat),tc_nat)
| ~ spl0_82 ),
inference(superposition,[],[f2830,f3404]) ).
fof(f3404,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3402]) ).
fof(f2830,plain,
! [X10,X25] : c_plus(X10,c_times(X25,X10,tc_nat),tc_nat) = c_times(c_Finite__Set_Ocard(c_SetInterval_OatMost(X25,tc_nat),tc_nat),X10,tc_nat),
inference(definition_unfolding,[],[f949,f1394]) ).
fof(f949,axiom,
! [X10,X25] : c_times(c_Suc(X25),X10,tc_nat) = c_plus(X10,c_times(X25,X10,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__Suc_0) ).
fof(f4604,plain,
( ! [X6] : c_plus(c_1,c_times(c_1,X6,tc_nat),tc_nat) = c_plus(X6,c_1,tc_nat)
| ~ spl0_82 ),
inference(superposition,[],[f4265,f4171]) ).
fof(f4265,plain,
( ! [X10,X25] : c_plus(X25,c_times(X25,X10,tc_nat),tc_nat) = c_times(X25,c_plus(X10,c_1,tc_nat),tc_nat)
| ~ spl0_82 ),
inference(backward_demodulation,[],[f2917,f4235]) ).
fof(f4235,plain,
( ! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_plus(X0,c_1,tc_nat)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4218,f3404]) ).
fof(f4218,plain,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_plus(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(superposition,[],[f2773,f876]) ).
fof(f2773,plain,
! [X10,X25] : c_plus(X25,c_Finite__Set_Ocard(c_SetInterval_OatMost(X10,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X25,X10,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f877,f1394,f1394]) ).
fof(f877,axiom,
! [X10,X25] : c_plus(X25,c_Suc(X10),tc_nat) = c_Suc(c_plus(X25,X10,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__Suc__right_0) ).
fof(f2917,plain,
! [X10,X25] : c_plus(X25,c_times(X25,X10,tc_nat),tc_nat) = c_times(X25,c_Finite__Set_Ocard(c_SetInterval_OatMost(X10,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f907,f1394]) ).
fof(f907,axiom,
! [X10,X25] : c_times(X25,c_Suc(X10),tc_nat) = c_plus(X25,c_times(X25,X10,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__Suc__right_0) ).
fof(f4324,plain,
( ! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),c_1,tc_nat) = X8 )
| ~ spl0_82 ),
inference(backward_demodulation,[],[f3565,f4235]) ).
fof(f3565,plain,
! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),tc_nat),tc_nat) = X8 ),
inference(forward_demodulation,[],[f2956,f2786]) ).
fof(f2956,plain,
! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X8,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = X8 ),
inference(definition_unfolding,[],[f874,f1394,f1394]) ).
fof(f874,axiom,
! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_Suc(c_minus(X8,c_Suc(c_0),tc_nat)) = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__pred_0) ).
fof(f4655,plain,
( spl0_178
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f4650,f3402,f4652]) ).
fof(f4650,plain,
( c_1 = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4649,f950]) ).
fof(f950,axiom,
! [X8] : c_plus(c_0,X8,tc_nat) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
fof(f4649,plain,
( c_plus(c_0,c_1,tc_nat) = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_plus(c_0,c_1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ spl0_82 ),
inference(resolution,[],[f4619,f4242]) ).
fof(f4242,plain,
( ! [X10] : c_less(X10,c_plus(X10,c_1,tc_nat),tc_nat)
| ~ spl0_82 ),
inference(backward_demodulation,[],[f2778,f4235]) ).
fof(f2778,plain,
! [X10] : c_less(X10,c_Finite__Set_Ocard(c_SetInterval_OatMost(X10,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1642,f1394]) ).
fof(f1642,axiom,
! [X10] : c_less(X10,c_Suc(X10),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f4631,plain,
( spl0_176
| spl0_177
| ~ spl0_39
| ~ spl0_82
| ~ spl0_164
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f4600,f3954,f3942,f3402,f3168,f4628,f4625]) ).
fof(f4625,plain,
( spl0_176
<=> ! [X2] : ~ c_lessequals(c_1,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4628,plain,
( spl0_177
<=> c_lessequals(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f3168,plain,
( spl0_39
<=> 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_39])]) ).
fof(f3942,plain,
( spl0_164
<=> c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f3954,plain,
( spl0_166
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f4600,plain,
( ! [X2] :
( c_lessequals(c_1,c_1,tc_nat)
| ~ c_lessequals(c_1,X2,tc_nat) )
| ~ spl0_39
| ~ spl0_82
| ~ spl0_164
| ~ spl0_166 ),
inference(superposition,[],[f4017,f4171]) ).
fof(f4017,plain,
( ! [X10,X25] :
( ~ c_lessequals(c_1,c_times(X25,X10,tc_nat),tc_nat)
| c_lessequals(c_1,X25,tc_nat) )
| ~ spl0_39
| ~ spl0_164
| ~ spl0_166 ),
inference(backward_demodulation,[],[f3993,f3956]) ).
fof(f3956,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f3954]) ).
fof(f3993,plain,
( ! [X10,X25] :
( c_lessequals(c_1,X25,tc_nat)
| ~ c_lessequals(c_IntDef_Onat(c_1),c_times(X25,X10,tc_nat),tc_nat) )
| ~ spl0_39
| ~ spl0_164 ),
inference(backward_demodulation,[],[f3860,f3944]) ).
fof(f3944,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f3942]) ).
fof(f3860,plain,
( ! [X10,X25] :
( ~ c_lessequals(c_times(c_1,c_1,tc_nat),c_times(X25,X10,tc_nat),tc_nat)
| c_lessequals(c_1,X25,tc_nat) )
| ~ spl0_39 ),
inference(backward_demodulation,[],[f2949,f3170]) ).
fof(f3170,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f2949,plain,
! [X10,X25] :
( c_lessequals(c_1,X25,tc_nat)
| ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X25,X10,tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f945,f1394]) ).
fof(f945,axiom,
! [X10,X25] :
( c_lessequals(c_1,X25,tc_nat)
| ~ c_lessequals(c_Suc(c_0),c_times(X25,X10,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_0) ).
fof(f4473,plain,
( spl0_175
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f4472,f3402,f4468]) ).
fof(f4468,plain,
( spl0_175
<=> c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4472,plain,
( c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_82 ),
inference(forward_demodulation,[],[f4466,f950]) ).
fof(f4466,plain,
( c_plus(c_0,c_1,tc_nat) = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_plus(c_0,c_1,tc_nat),tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_82 ),
inference(resolution,[],[f4324,f4242]) ).
fof(f4471,plain,
( spl0_175
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f4464,f3402,f3028,f4468]) ).
fof(f4464,plain,
( c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f4324,f3030]) ).
fof(f4064,plain,
( ~ spl0_172
| spl0_174
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4060,f4031,f4062,f4038]) ).
fof(f4062,plain,
( spl0_174
<=> ! [X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(X0,v_r,X1,t_a,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_Relation_Orefl(X0,v_r,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f4031,plain,
( spl0_171
<=> c_Relation_Oantisym(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f4060,plain,
( ! [X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(X0,v_r,X1,t_a,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_Relation_Otrans(v_r,t_a)
| ~ c_Relation_Orefl(X0,v_r,t_a) )
| ~ spl0_171 ),
inference(resolution,[],[f4052,f4033]) ).
fof(f4033,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f4031]) ).
fof(f4052,plain,
! [X2,X3,X0,X1] :
( ~ c_Relation_Oantisym(X1,X3)
| ~ c_Relation_Otrans(X1,X3)
| c_in(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| ~ c_Relation_Orefl(X0,X1,X3) ),
inference(forward_demodulation,[],[f4051,f4]) ).
fof(f4,axiom,
! [X2,X3,X1,X8,X4] : c_Tarski_Opotype_Opset(c_Tarski_Opotype_Opotype__ext(X8,X1,X2,X3,X4),X3,X4) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__1_0) ).
fof(f4051,plain,
! [X2,X3,X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| ~ c_Relation_Oantisym(X1,X3)
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),X3,tc_Product__Type_Ounit),X1,X3)
| ~ c_Relation_Otrans(X1,X3) ),
inference(superposition,[],[f2745,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X8,X4] : c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Opotype__ext(X0,X8,X2,X3,X4),X3,X4) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__2_0) ).
fof(f2745,axiom,
! [X3,X94] :
( ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3)
| ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3)
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X94,X3,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3)
| c_in(X94,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_3) ).
fof(f4049,plain,
( spl0_173
| ~ spl0_106
| ~ spl0_110
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4044,f3600,f3551,f3529,f4046]) ).
fof(f4046,plain,
( spl0_173
<=> c_Relation_Orefl(v_A,v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3529,plain,
( spl0_106
<=> v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f3551,plain,
( spl0_110
<=> v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f3600,plain,
( spl0_119
<=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f4044,plain,
( c_Relation_Orefl(v_A,v_r,t_a)
| ~ spl0_106
| ~ spl0_110
| ~ spl0_119 ),
inference(forward_demodulation,[],[f4043,f3553]) ).
fof(f3553,plain,
( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3551]) ).
fof(f4043,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ spl0_106
| ~ spl0_119 ),
inference(forward_demodulation,[],[f4042,f3531]) ).
fof(f3531,plain,
( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f4042,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_119 ),
inference(resolution,[],[f2742,f3602]) ).
fof(f3602,plain,
( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f2742,axiom,
! [X3,X94] :
( ~ c_in(X94,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X94,X3,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f4041,plain,
( spl0_172
| ~ spl0_106
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4036,f3600,f3529,f4038]) ).
fof(f4036,plain,
( c_Relation_Otrans(v_r,t_a)
| ~ spl0_106
| ~ spl0_119 ),
inference(forward_demodulation,[],[f4035,f3531]) ).
fof(f4035,plain,
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_119 ),
inference(resolution,[],[f2744,f3602]) ).
fof(f2744,axiom,
! [X3,X94] :
( ~ c_in(X94,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).
fof(f4034,plain,
( spl0_171
| ~ spl0_106
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4029,f3600,f3529,f4031]) ).
fof(f4029,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_106
| ~ spl0_119 ),
inference(forward_demodulation,[],[f4028,f3531]) ).
fof(f4028,plain,
( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_119 ),
inference(resolution,[],[f2743,f3602]) ).
fof(f2743,axiom,
! [X3,X94] :
( ~ c_in(X94,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
fof(f4024,plain,
( spl0_170
| ~ spl0_164
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f4001,f3954,f3942,f4021]) ).
fof(f4021,plain,
( spl0_170
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f4001,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_164
| ~ spl0_166 ),
inference(backward_demodulation,[],[f3944,f3956]) ).
fof(f3975,plain,
( spl0_169
| ~ spl0_55
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f3970,f3385,f3251,f3972]) ).
fof(f3972,plain,
( spl0_169
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3251,plain,
( spl0_55
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f3385,plain,
( spl0_79
<=> 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_79])]) ).
fof(f3970,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_55
| ~ spl0_79 ),
inference(forward_demodulation,[],[f3387,f3253]) ).
fof(f3253,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f3387,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3969,plain,
( spl0_168
| ~ spl0_55
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3964,f3453,f3251,f3966]) ).
fof(f3966,plain,
( spl0_168
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3453,plain,
( spl0_92
<=> 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_92])]) ).
fof(f3964,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_55
| ~ spl0_92 ),
inference(forward_demodulation,[],[f3455,f3253]) ).
fof(f3455,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3963,plain,
( spl0_167
| ~ spl0_58
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3958,f3742,f3266,f3960]) ).
fof(f3960,plain,
( spl0_167
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3266,plain,
( spl0_58
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f3742,plain,
( spl0_145
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3958,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_58
| ~ spl0_145 ),
inference(forward_demodulation,[],[f3744,f3268]) ).
fof(f3268,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f3266]) ).
fof(f3744,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f3742]) ).
fof(f3957,plain,
( spl0_166
| ~ spl0_40
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f3952,f3402,f3173,f3954]) ).
fof(f3173,plain,
( spl0_40
<=> 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_40])]) ).
fof(f3952,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_40
| ~ spl0_82 ),
inference(backward_demodulation,[],[f3175,f3404]) ).
fof(f3175,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f3173]) ).
fof(f3951,plain,
( spl0_165
| ~ spl0_58
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f3946,f3789,f3266,f3948]) ).
fof(f3948,plain,
( spl0_165
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f3789,plain,
( spl0_153
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f3946,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_58
| ~ spl0_153 ),
inference(forward_demodulation,[],[f3791,f3268]) ).
fof(f3791,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f3789]) ).
fof(f3945,plain,
( spl0_164
| ~ spl0_39
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3940,f3173,f3168,f3942]) ).
fof(f3940,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_39
| ~ spl0_40 ),
inference(backward_demodulation,[],[f3170,f3175]) ).
fof(f3913,plain,
( ~ spl0_78
| spl0_163
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f3909,f3251,f3911,f3380]) ).
fof(f3380,plain,
( spl0_78
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f3911,plain,
( spl0_163
<=> ! [X25] : c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f3909,plain,
( ! [X25] :
( c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_0 != c_1 )
| ~ spl0_55 ),
inference(forward_subsumption_demodulation,[],[f3908,f939]) ).
fof(f939,axiom,
! [X10] :
( c_less(c_0,X10,tc_nat)
| c_0 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f3908,plain,
( ! [X25] :
( c_1 != c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_nat),tc_nat)
| c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) )
| ~ spl0_55 ),
inference(forward_demodulation,[],[f3877,f3253]) ).
fof(f3877,plain,
( ! [X25] :
( c_1 != c_Divides_Oop_Amod(X25,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)
| c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_Obin__succ(c_Numeral_OPls),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) )
| ~ spl0_55 ),
inference(backward_demodulation,[],[f826,f3253]) ).
fof(f826,axiom,
! [X25] :
( c_1 != c_Divides_Oop_Amod(X25,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)
| c_less(c_0,c_Divides_Oop_Amod(X25,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3842,plain,
spl0_162,
inference(avatar_split_clause,[],[f34,f3839]) ).
fof(f3839,plain,
( spl0_162
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f34,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3837,plain,
spl0_161,
inference(avatar_split_clause,[],[f1717,f3834]) ).
fof(f3834,plain,
( spl0_161
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1717,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3832,plain,
spl0_160,
inference(avatar_split_clause,[],[f2753,f3829]) ).
fof(f3829,plain,
( spl0_160
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f2753,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f976,f979]) ).
fof(f979,axiom,
! [X35] : c_Numeral_Obin__minus(X35) = c_Numeral_Obin__mult(c_Numeral_OMin,X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f976,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3827,plain,
spl0_159,
inference(avatar_split_clause,[],[f1752,f3824]) ).
fof(f3824,plain,
( spl0_159
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1752,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3821,plain,
spl0_158,
inference(avatar_split_clause,[],[f200,f3818]) ).
fof(f3818,plain,
( spl0_158
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f200,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3815,plain,
spl0_157,
inference(avatar_split_clause,[],[f533,f3812]) ).
fof(f3812,plain,
( spl0_157
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f533,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3810,plain,
spl0_156,
inference(avatar_split_clause,[],[f1804,f3807]) ).
fof(f3807,plain,
( spl0_156
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1804,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3805,plain,
spl0_155,
inference(avatar_split_clause,[],[f526,f3802]) ).
fof(f3802,plain,
( spl0_155
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f526,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3799,plain,
spl0_12,
inference(avatar_split_clause,[],[f3798,f3028]) ).
fof(f3798,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_demodulation,[],[f1193,f1194]) ).
fof(f1194,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f1193,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(X11,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3797,plain,
spl0_154,
inference(avatar_split_clause,[],[f1780,f3794]) ).
fof(f3794,plain,
( spl0_154
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1780,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3792,plain,
spl0_153,
inference(avatar_split_clause,[],[f241,f3789]) ).
fof(f241,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f3787,plain,
spl0_152,
inference(avatar_split_clause,[],[f716,f3784]) ).
fof(f3784,plain,
( spl0_152
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f716,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f3779,plain,
( spl0_137
| spl0_151 ),
inference(avatar_split_clause,[],[f3775,f3777,f3695]) ).
fof(f3695,plain,
( spl0_137
<=> ! [X35] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3777,plain,
( spl0_151
<=> ! [X3] :
( ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| c_lessequals(c_0,c_0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f3775,plain,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_lessequals(c_0,c_0,X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1172,f1162]) ).
fof(f1162,axiom,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f1172,axiom,
! [X3,X35] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),c_0,X3)
| ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3774,plain,
~ spl0_150,
inference(avatar_split_clause,[],[f1479,f3771]) ).
fof(f3771,plain,
( spl0_150
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1479,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3769,plain,
spl0_149,
inference(avatar_split_clause,[],[f1708,f3766]) ).
fof(f3766,plain,
( spl0_149
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1708,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3764,plain,
spl0_148,
inference(avatar_split_clause,[],[f1722,f3761]) ).
fof(f3761,plain,
( spl0_148
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1722,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3759,plain,
spl0_147,
inference(avatar_split_clause,[],[f1719,f3756]) ).
fof(f3756,plain,
( spl0_147
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1719,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3750,plain,
spl0_146,
inference(avatar_split_clause,[],[f1744,f3747]) ).
fof(f3747,plain,
( spl0_146
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1744,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3745,plain,
spl0_145,
inference(avatar_split_clause,[],[f227,f3742]) ).
fof(f227,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3735,plain,
spl0_144,
inference(avatar_split_clause,[],[f1732,f3732]) ).
fof(f3732,plain,
( spl0_144
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1732,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3729,plain,
spl0_143,
inference(avatar_split_clause,[],[f1725,f3726]) ).
fof(f3726,plain,
( spl0_143
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1725,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3724,plain,
spl0_142,
inference(avatar_split_clause,[],[f1743,f3721]) ).
fof(f3721,plain,
( spl0_142
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1743,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3718,plain,
spl0_141,
inference(avatar_split_clause,[],[f1014,f3715]) ).
fof(f3715,plain,
( spl0_141
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1014,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3711,plain,
spl0_140,
inference(avatar_split_clause,[],[f1727,f3708]) ).
fof(f3708,plain,
( spl0_140
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1727,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3705,plain,
spl0_139,
inference(avatar_split_clause,[],[f523,f3702]) ).
fof(f3702,plain,
( spl0_139
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f523,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3700,plain,
( spl0_137
| spl0_138 ),
inference(avatar_split_clause,[],[f3693,f3698,f3695]) ).
fof(f3698,plain,
( spl0_138
<=> ! [X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3)
| ~ c_less(c_0,c_0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3693,plain,
! [X3,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ c_less(c_0,c_0,X3)
| ~ class_Power_Orecpower(X3) ),
inference(forward_subsumption_demodulation,[],[f1182,f1162]) ).
fof(f1182,axiom,
! [X3,X35] :
( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3692,plain,
spl0_136,
inference(avatar_split_clause,[],[f1808,f3689]) ).
fof(f3689,plain,
( spl0_136
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1808,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3687,plain,
spl0_135,
inference(avatar_split_clause,[],[f1791,f3684]) ).
fof(f3684,plain,
( spl0_135
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1791,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3682,plain,
spl0_134,
inference(avatar_split_clause,[],[f1819,f3679]) ).
fof(f3679,plain,
( spl0_134
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1819,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3677,plain,
spl0_133,
inference(avatar_split_clause,[],[f1737,f3674]) ).
fof(f3674,plain,
( spl0_133
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1737,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3672,plain,
spl0_132,
inference(avatar_split_clause,[],[f1758,f3669]) ).
fof(f3669,plain,
( spl0_132
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3667,plain,
~ spl0_131,
inference(avatar_split_clause,[],[f159,f3664]) ).
fof(f3664,plain,
( spl0_131
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f159,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3662,plain,
spl0_130,
inference(avatar_split_clause,[],[f1757,f3659]) ).
fof(f3659,plain,
( spl0_130
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1757,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3657,plain,
spl0_129,
inference(avatar_split_clause,[],[f1807,f3654]) ).
fof(f3654,plain,
( spl0_129
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1807,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3652,plain,
spl0_128,
inference(avatar_split_clause,[],[f1786,f3649]) ).
fof(f3649,plain,
( spl0_128
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1786,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3647,plain,
( ~ spl0_78
| spl0_77 ),
inference(avatar_split_clause,[],[f1348,f3377,f3380]) ).
fof(f3377,plain,
( spl0_77
<=> ! [X3] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1348,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3)
| c_0 != c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3646,plain,
spl0_127,
inference(avatar_split_clause,[],[f1736,f3643]) ).
fof(f3643,plain,
( spl0_127
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1736,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3641,plain,
spl0_126,
inference(avatar_split_clause,[],[f1792,f3638]) ).
fof(f3638,plain,
( spl0_126
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1792,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3636,plain,
spl0_125,
inference(avatar_split_clause,[],[f1748,f3633]) ).
fof(f3633,plain,
( spl0_125
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1748,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3630,plain,
spl0_124,
inference(avatar_split_clause,[],[f535,f3627]) ).
fof(f3627,plain,
( spl0_124
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f535,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3624,plain,
spl0_123,
inference(avatar_split_clause,[],[f1797,f3621]) ).
fof(f3621,plain,
( spl0_123
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1797,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3619,plain,
spl0_122,
inference(avatar_split_clause,[],[f1716,f3616]) ).
fof(f3616,plain,
( spl0_122
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1716,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3614,plain,
spl0_121,
inference(avatar_split_clause,[],[f1785,f3611]) ).
fof(f3611,plain,
( spl0_121
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1785,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3609,plain,
spl0_120,
inference(avatar_split_clause,[],[f3604,f3606]) ).
fof(f3606,plain,
( spl0_120
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f3604,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(backward_demodulation,[],[f336,f314]) ).
fof(f314,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f336,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X11,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3603,plain,
spl0_119,
inference(avatar_split_clause,[],[f2746,f3600]) ).
fof(f2746,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f3598,plain,
spl0_118,
inference(avatar_split_clause,[],[f1739,f3595]) ).
fof(f3595,plain,
( spl0_118
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1739,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3593,plain,
spl0_117,
inference(avatar_split_clause,[],[f1417,f3590]) ).
fof(f3590,plain,
( spl0_117
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1417,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3587,plain,
~ spl0_78,
inference(avatar_split_clause,[],[f220,f3380]) ).
fof(f220,axiom,
c_0 != c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3585,plain,
spl0_116,
inference(avatar_split_clause,[],[f1723,f3582]) ).
fof(f3582,plain,
( spl0_116
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1723,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3580,plain,
spl0_115,
inference(avatar_split_clause,[],[f1715,f3577]) ).
fof(f3577,plain,
( spl0_115
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1715,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3575,plain,
spl0_114,
inference(avatar_split_clause,[],[f105,f3572]) ).
fof(f3572,plain,
( spl0_114
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f105,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3570,plain,
spl0_113,
inference(avatar_split_clause,[],[f1790,f3567]) ).
fof(f3567,plain,
( spl0_113
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1790,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3564,plain,
spl0_112,
inference(avatar_split_clause,[],[f1795,f3561]) ).
fof(f3561,plain,
( spl0_112
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1795,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3559,plain,
spl0_111,
inference(avatar_split_clause,[],[f1731,f3556]) ).
fof(f3556,plain,
( spl0_111
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1731,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3554,plain,
spl0_110,
inference(avatar_split_clause,[],[f2741,f3551]) ).
fof(f2741,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3549,plain,
spl0_109,
inference(avatar_split_clause,[],[f2844,f3546]) ).
fof(f3546,plain,
( spl0_109
<=> 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_109])]) ).
fof(f2844,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f983,f963]) ).
fof(f963,axiom,
! [X35] : c_Numeral_Obin__pred(X35) = c_Numeral_Obin__add(X35,c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).
fof(f983,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3543,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f100,f3276]) ).
fof(f3276,plain,
( spl0_60
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f100,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3542,plain,
spl0_108,
inference(avatar_split_clause,[],[f1730,f3539]) ).
fof(f3539,plain,
( spl0_108
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1730,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3537,plain,
spl0_107,
inference(avatar_split_clause,[],[f1726,f3534]) ).
fof(f3534,plain,
( spl0_107
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1726,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3532,plain,
spl0_106,
inference(avatar_split_clause,[],[f2747,f3529]) ).
fof(f2747,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3527,plain,
spl0_105,
inference(avatar_split_clause,[],[f1733,f3524]) ).
fof(f3524,plain,
( spl0_105
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1733,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3522,plain,
spl0_104,
inference(avatar_split_clause,[],[f1721,f3519]) ).
fof(f3519,plain,
( spl0_104
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1721,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3513,plain,
spl0_103,
inference(avatar_split_clause,[],[f1735,f3510]) ).
fof(f3510,plain,
( spl0_103
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1735,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3508,plain,
spl0_102,
inference(avatar_split_clause,[],[f1755,f3505]) ).
fof(f3505,plain,
( spl0_102
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1755,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3503,plain,
spl0_101,
inference(avatar_split_clause,[],[f1821,f3500]) ).
fof(f3500,plain,
( spl0_101
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1821,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3498,plain,
spl0_100,
inference(avatar_split_clause,[],[f1806,f3495]) ).
fof(f3495,plain,
( spl0_100
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1806,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3493,plain,
spl0_99,
inference(avatar_split_clause,[],[f532,f3490]) ).
fof(f3490,plain,
( spl0_99
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f532,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3488,plain,
spl0_98,
inference(avatar_split_clause,[],[f537,f3485]) ).
fof(f3485,plain,
( spl0_98
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f537,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3483,plain,
spl0_97,
inference(avatar_split_clause,[],[f527,f3480]) ).
fof(f3480,plain,
( spl0_97
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f527,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3478,plain,
spl0_96,
inference(avatar_split_clause,[],[f1763,f3475]) ).
fof(f3475,plain,
( spl0_96
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1763,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3473,plain,
spl0_95,
inference(avatar_split_clause,[],[f1728,f3470]) ).
fof(f3470,plain,
( spl0_95
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1728,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3468,plain,
spl0_94,
inference(avatar_split_clause,[],[f2749,f3465]) ).
fof(f2749,axiom,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3463,plain,
spl0_93,
inference(avatar_split_clause,[],[f1153,f3460]) ).
fof(f3460,plain,
( spl0_93
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1153,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3456,plain,
spl0_92,
inference(avatar_split_clause,[],[f717,f3453]) ).
fof(f717,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3451,plain,
spl0_91,
inference(avatar_split_clause,[],[f531,f3448]) ).
fof(f3448,plain,
( spl0_91
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f531,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3446,plain,
spl0_90,
inference(avatar_split_clause,[],[f1761,f3443]) ).
fof(f3443,plain,
( spl0_90
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1761,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3441,plain,
spl0_89,
inference(avatar_split_clause,[],[f1812,f3438]) ).
fof(f3438,plain,
( spl0_89
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3436,plain,
spl0_88,
inference(avatar_split_clause,[],[f1771,f3433]) ).
fof(f3433,plain,
( spl0_88
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1771,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3431,plain,
spl0_87,
inference(avatar_split_clause,[],[f1749,f3428]) ).
fof(f3428,plain,
( spl0_87
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1749,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3426,plain,
spl0_86,
inference(avatar_split_clause,[],[f1741,f3423]) ).
fof(f3423,plain,
( spl0_86
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3421,plain,
spl0_85,
inference(avatar_split_clause,[],[f1798,f3418]) ).
fof(f3418,plain,
( spl0_85
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1798,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3415,plain,
spl0_84,
inference(avatar_split_clause,[],[f1746,f3412]) ).
fof(f3412,plain,
( spl0_84
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1746,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3410,plain,
spl0_83,
inference(avatar_split_clause,[],[f1813,f3407]) ).
fof(f3407,plain,
( spl0_83
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1813,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3405,plain,
spl0_82,
inference(avatar_split_clause,[],[f2823,f3402]) ).
fof(f2823,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f866,f1394]) ).
fof(f866,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3399,plain,
spl0_81,
inference(avatar_split_clause,[],[f534,f3396]) ).
fof(f3396,plain,
( spl0_81
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f534,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3394,plain,
spl0_80,
inference(avatar_split_clause,[],[f1384,f3391]) ).
fof(f3391,plain,
( spl0_80
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1384,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3388,plain,
spl0_79,
inference(avatar_split_clause,[],[f2902,f3385]) ).
fof(f2902,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f975,f979]) ).
fof(f975,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3383,plain,
( spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1245,f3380,f3377]) ).
fof(f1245,axiom,
! [X3] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3374,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f3373,f3084,f3081]) ).
fof(f3081,plain,
( spl0_22
<=> ! [X36] : ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3084,plain,
( spl0_23
<=> ! [X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3373,plain,
! [X36,X77] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f693,f699]) ).
fof(f699,axiom,
! [X36] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X36,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f693,axiom,
! [X36,X77] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3372,plain,
spl0_23,
inference(avatar_split_clause,[],[f682,f3084]) ).
fof(f682,axiom,
! [X36] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_1) ).
fof(f3371,plain,
spl0_76,
inference(avatar_split_clause,[],[f1810,f3368]) ).
fof(f3368,plain,
( spl0_76
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1810,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3366,plain,
spl0_75,
inference(avatar_split_clause,[],[f1775,f3363]) ).
fof(f3363,plain,
( spl0_75
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1775,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3361,plain,
spl0_39,
inference(avatar_split_clause,[],[f2836,f3168]) ).
fof(f2836,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,[],[f914,f1394]) ).
fof(f914,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3357,plain,
spl0_74,
inference(avatar_split_clause,[],[f1711,f3354]) ).
fof(f3354,plain,
( spl0_74
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1711,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3351,plain,
spl0_73,
inference(avatar_split_clause,[],[f1772,f3348]) ).
fof(f3348,plain,
( spl0_73
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1772,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3346,plain,
~ spl0_13,
inference(avatar_split_clause,[],[f3345,f3033]) ).
fof(f3033,plain,
( spl0_13
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f3345,plain,
~ c_less(c_0,c_0,tc_nat),
inference(forward_demodulation,[],[f452,f448]) ).
fof(f448,axiom,
! [X3] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv_1) ).
fof(f452,axiom,
! [X3] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X3)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv_0) ).
fof(f3343,plain,
spl0_72,
inference(avatar_split_clause,[],[f1787,f3340]) ).
fof(f3340,plain,
( spl0_72
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1787,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3338,plain,
spl0_71,
inference(avatar_split_clause,[],[f529,f3335]) ).
fof(f3335,plain,
( spl0_71
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f529,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3333,plain,
spl0_70,
inference(avatar_split_clause,[],[f1703,f3330]) ).
fof(f3330,plain,
( spl0_70
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1703,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3328,plain,
spl0_69,
inference(avatar_split_clause,[],[f104,f3325]) ).
fof(f3325,plain,
( spl0_69
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f104,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3323,plain,
spl0_68,
inference(avatar_split_clause,[],[f1734,f3320]) ).
fof(f3320,plain,
( spl0_68
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1734,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3317,plain,
spl0_67,
inference(avatar_split_clause,[],[f1738,f3314]) ).
fof(f3314,plain,
( spl0_67
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1738,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3312,plain,
spl0_66,
inference(avatar_split_clause,[],[f1759,f3309]) ).
fof(f3309,plain,
( spl0_66
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3307,plain,
spl0_65,
inference(avatar_split_clause,[],[f1724,f3304]) ).
fof(f3304,plain,
( spl0_65
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3301,plain,
spl0_23,
inference(avatar_split_clause,[],[f698,f3084]) ).
fof(f698,axiom,
! [X36] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X36,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f3300,plain,
spl0_64,
inference(avatar_split_clause,[],[f1713,f3297]) ).
fof(f3297,plain,
( spl0_64
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1713,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3294,plain,
spl0_63,
inference(avatar_split_clause,[],[f1820,f3291]) ).
fof(f3291,plain,
( spl0_63
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1820,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3289,plain,
spl0_62,
inference(avatar_split_clause,[],[f1799,f3286]) ).
fof(f3286,plain,
( spl0_62
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1799,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3284,plain,
( spl0_23
| spl0_61 ),
inference(avatar_split_clause,[],[f3280,f3282,f3084]) ).
fof(f3282,plain,
( spl0_61
<=> ! [X36] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f3280,plain,
! [X36,X77] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f691,f699]) ).
fof(f691,axiom,
! [X36,X77] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3279,plain,
~ spl0_60,
inference(avatar_split_clause,[],[f101,f3276]) ).
fof(f101,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3274,plain,
spl0_59,
inference(avatar_split_clause,[],[f1005,f3271]) ).
fof(f3271,plain,
( spl0_59
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1005,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3269,plain,
spl0_58,
inference(avatar_split_clause,[],[f224,f3266]) ).
fof(f224,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3264,plain,
spl0_57,
inference(avatar_split_clause,[],[f1803,f3261]) ).
fof(f3261,plain,
( spl0_57
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1803,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3259,plain,
spl0_56,
inference(avatar_split_clause,[],[f1709,f3256]) ).
fof(f3256,plain,
( spl0_56
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1709,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3254,plain,
spl0_55,
inference(avatar_split_clause,[],[f1006,f3251]) ).
fof(f1006,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3249,plain,
~ spl0_41,
inference(avatar_split_clause,[],[f1009,f3178]) ).
fof(f3178,plain,
( spl0_41
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1009,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3248,plain,
spl0_54,
inference(avatar_split_clause,[],[f1802,f3245]) ).
fof(f3245,plain,
( spl0_54
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1802,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3243,plain,
spl0_53,
inference(avatar_split_clause,[],[f1714,f3240]) ).
fof(f3240,plain,
( spl0_53
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1714,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3238,plain,
spl0_52,
inference(avatar_split_clause,[],[f530,f3235]) ).
fof(f3235,plain,
( spl0_52
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f530,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3233,plain,
spl0_51,
inference(avatar_split_clause,[],[f1751,f3230]) ).
fof(f3230,plain,
( spl0_51
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1751,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3228,plain,
spl0_50,
inference(avatar_split_clause,[],[f1809,f3225]) ).
fof(f3225,plain,
( spl0_50
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1809,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3222,plain,
spl0_49,
inference(avatar_split_clause,[],[f525,f3219]) ).
fof(f3219,plain,
( spl0_49
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f525,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3217,plain,
spl0_48,
inference(avatar_split_clause,[],[f955,f3214]) ).
fof(f3214,plain,
( spl0_48
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f955,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3212,plain,
spl0_47,
inference(avatar_split_clause,[],[f1801,f3209]) ).
fof(f3209,plain,
( spl0_47
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1801,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3207,plain,
spl0_46,
inference(avatar_split_clause,[],[f528,f3204]) ).
fof(f3204,plain,
( spl0_46
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f528,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3202,plain,
spl0_45,
inference(avatar_split_clause,[],[f1816,f3199]) ).
fof(f3199,plain,
( spl0_45
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1816,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3197,plain,
spl0_44,
inference(avatar_split_clause,[],[f1753,f3194]) ).
fof(f3194,plain,
( spl0_44
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1753,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3191,plain,
spl0_43,
inference(avatar_split_clause,[],[f1712,f3188]) ).
fof(f3188,plain,
( spl0_43
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1712,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3186,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f1160,f3183]) ).
fof(f3183,plain,
( spl0_42
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1160,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3181,plain,
~ spl0_41,
inference(avatar_split_clause,[],[f1010,f3178]) ).
fof(f1010,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3176,plain,
spl0_40,
inference(avatar_split_clause,[],[f2910,f3173]) ).
fof(f2910,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f194,f1394]) ).
fof(f194,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3171,plain,
spl0_39,
inference(avatar_split_clause,[],[f2779,f3168]) ).
fof(f2779,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,[],[f944,f1394]) ).
fof(f944,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3166,plain,
spl0_38,
inference(avatar_split_clause,[],[f524,f3163]) ).
fof(f3163,plain,
( spl0_38
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f524,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3160,plain,
spl0_37,
inference(avatar_split_clause,[],[f1742,f3157]) ).
fof(f3157,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1742,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3155,plain,
spl0_36,
inference(avatar_split_clause,[],[f1701,f3152]) ).
fof(f3152,plain,
( spl0_36
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1701,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3150,plain,
spl0_35,
inference(avatar_split_clause,[],[f1789,f3147]) ).
fof(f3147,plain,
( spl0_35
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1789,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3145,plain,
spl0_34,
inference(avatar_split_clause,[],[f1710,f3142]) ).
fof(f3142,plain,
( spl0_34
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1710,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3140,plain,
spl0_33,
inference(avatar_split_clause,[],[f1796,f3137]) ).
fof(f3137,plain,
( spl0_33
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1796,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3135,plain,
spl0_32,
inference(avatar_split_clause,[],[f956,f3132]) ).
fof(f3132,plain,
( spl0_32
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f956,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3130,plain,
spl0_31,
inference(avatar_split_clause,[],[f1800,f3127]) ).
fof(f3127,plain,
( spl0_31
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1800,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3125,plain,
spl0_30,
inference(avatar_split_clause,[],[f1788,f3122]) ).
fof(f3122,plain,
( spl0_30
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1788,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3120,plain,
~ spl0_29,
inference(avatar_split_clause,[],[f2750,f3117]) ).
fof(f2750,axiom,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3115,plain,
spl0_28,
inference(avatar_split_clause,[],[f1707,f3112]) ).
fof(f3112,plain,
( spl0_28
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1707,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3110,plain,
spl0_27,
inference(avatar_split_clause,[],[f1750,f3107]) ).
fof(f3107,plain,
( spl0_27
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1750,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3104,plain,
spl0_26,
inference(avatar_split_clause,[],[f1747,f3101]) ).
fof(f3101,plain,
( spl0_26
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1747,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3098,plain,
spl0_25,
inference(avatar_split_clause,[],[f2776,f3095]) ).
fof(f3095,plain,
( spl0_25
<=> c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2776,plain,
c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f78,f1394,f1394]) ).
fof(f78,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).
fof(f3091,plain,
spl0_24,
inference(avatar_split_clause,[],[f1766,f3088]) ).
fof(f3088,plain,
( spl0_24
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1766,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3086,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f3079,f3084,f3081]) ).
fof(f3079,plain,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2971,f699]) ).
fof(f2971,plain,
! [X36,X77] :
( c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3078,plain,
spl0_21,
inference(avatar_split_clause,[],[f1745,f3075]) ).
fof(f3075,plain,
( spl0_21
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1745,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3073,plain,
spl0_20,
inference(avatar_split_clause,[],[f1818,f3070]) ).
fof(f3070,plain,
( spl0_20
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1818,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3067,plain,
spl0_19,
inference(avatar_split_clause,[],[f1815,f3064]) ).
fof(f3064,plain,
( spl0_19
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1815,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3061,plain,
spl0_18,
inference(avatar_split_clause,[],[f1760,f3058]) ).
fof(f3058,plain,
( spl0_18
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3056,plain,
spl0_17,
inference(avatar_split_clause,[],[f2748,f3053]) ).
fof(f2748,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3051,plain,
spl0_16,
inference(avatar_split_clause,[],[f1794,f3048]) ).
fof(f3048,plain,
( spl0_16
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1794,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3046,plain,
spl0_15,
inference(avatar_split_clause,[],[f1793,f3043]) ).
fof(f3043,plain,
( spl0_15
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1793,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3041,plain,
spl0_14,
inference(avatar_split_clause,[],[f536,f3038]) ).
fof(f3038,plain,
( spl0_14
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f536,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f3036,plain,
~ spl0_13,
inference(avatar_split_clause,[],[f940,f3033]) ).
fof(f940,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3031,plain,
spl0_12,
inference(avatar_split_clause,[],[f899,f3028]) ).
fof(f899,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3026,plain,
spl0_11,
inference(avatar_split_clause,[],[f1378,f3023]) ).
fof(f3023,plain,
( spl0_11
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1378,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3021,plain,
spl0_10,
inference(avatar_split_clause,[],[f236,f3018]) ).
fof(f3018,plain,
( spl0_10
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f236,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3016,plain,
spl0_9,
inference(avatar_split_clause,[],[f1811,f3013]) ).
fof(f3013,plain,
( spl0_9
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1811,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3011,plain,
spl0_8,
inference(avatar_split_clause,[],[f76,f3008]) ).
fof(f3008,plain,
( spl0_8
<=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f76,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff_1) ).
fof(f3006,plain,
spl0_7,
inference(avatar_split_clause,[],[f221,f3003]) ).
fof(f3003,plain,
( spl0_7
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f221,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3001,plain,
spl0_6,
inference(avatar_split_clause,[],[f1805,f2998]) ).
fof(f2998,plain,
( spl0_6
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1805,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f2996,plain,
spl0_5,
inference(avatar_split_clause,[],[f1013,f2993]) ).
fof(f2993,plain,
( spl0_5
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1013,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f2991,plain,
spl0_4,
inference(avatar_split_clause,[],[f1754,f2988]) ).
fof(f2988,plain,
( spl0_4
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1754,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f2986,plain,
spl0_3,
inference(avatar_split_clause,[],[f538,f2983]) ).
fof(f2983,plain,
( spl0_3
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f538,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f2981,plain,
spl0_2,
inference(avatar_split_clause,[],[f1140,f2978]) ).
fof(f2978,plain,
( spl0_2
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1140,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f2976,plain,
spl0_1,
inference(avatar_split_clause,[],[f1720,f2973]) ).
fof(f2973,plain,
( spl0_1
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1720,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT281-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:59:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 % (32483)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)
% 0.20/0.59 % (32472)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (32488)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)
% 0.20/0.60 % (32475)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.60 % (32480)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.60 % (32493)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.61 % (32471)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)
% 1.32/0.61 % (32474)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)
% 1.32/0.61 % (32469)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)
% 1.32/0.61 % (32470)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)
% 1.32/0.61 % (32491)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)
% 1.32/0.62 % (32498)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)
% 1.32/0.62 % (32473)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)
% 1.32/0.62 % (32475)Instruction limit reached!
% 1.32/0.62 % (32475)------------------------------
% 1.32/0.62 % (32475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.62 % (32475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.62 % (32475)Termination reason: Unknown
% 1.32/0.62 % (32475)Termination phase: Function definition elimination
% 1.32/0.62
% 1.32/0.62 % (32475)Memory used [KB]: 3198
% 1.32/0.62 % (32475)Time elapsed: 0.014 s
% 1.32/0.62 % (32475)Instructions burned: 7 (million)
% 1.32/0.62 % (32475)------------------------------
% 1.32/0.62 % (32475)------------------------------
% 1.32/0.62 % (32479)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)
% 1.46/0.62 % (32468)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)
% 1.46/0.62 % (32481)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.63 % (32482)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)
% 1.51/0.63 % (32489)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.63 % (32486)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.63 % (32495)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)
% 1.51/0.63 % (32478)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.63 % (32477)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)
% 1.51/0.64 % (32484)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)
% 1.51/0.64 % (32485)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.64 % (32492)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.64 % (32490)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)
% 1.51/0.64 % (32494)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)
% 1.51/0.65 % (32497)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.65 % (32476)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.51/0.65 % (32476)Instruction limit reached!
% 1.51/0.65 % (32476)------------------------------
% 1.51/0.65 % (32476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.65 % (32476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.65 % (32476)Termination reason: Unknown
% 1.51/0.65 % (32476)Termination phase: shuffling
% 1.51/0.65
% 1.51/0.65 % (32476)Memory used [KB]: 2942
% 1.51/0.65 % (32476)Time elapsed: 0.002 s
% 1.51/0.65 % (32476)Instructions burned: 2 (million)
% 1.51/0.65 % (32476)------------------------------
% 1.51/0.65 % (32476)------------------------------
% 1.51/0.65 % (32487)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)
% 1.51/0.69 % (32470)Instruction limit reached!
% 1.51/0.69 % (32470)------------------------------
% 1.51/0.69 % (32470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.69 % (32472)Instruction limit reached!
% 1.51/0.69 % (32472)------------------------------
% 1.51/0.69 % (32472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.69 % (32472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.69 % (32472)Termination reason: Unknown
% 1.51/0.69 % (32472)Termination phase: Property scanning
% 1.51/0.69
% 1.51/0.69 % (32472)Memory used [KB]: 3326
% 1.51/0.69 % (32472)Time elapsed: 0.027 s
% 1.51/0.69 % (32472)Instructions burned: 53 (million)
% 1.51/0.69 % (32472)------------------------------
% 1.51/0.69 % (32472)------------------------------
% 1.51/0.69 % (32471)Instruction limit reached!
% 1.51/0.69 % (32471)------------------------------
% 1.51/0.69 % (32471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.69 % (32471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.69 % (32471)Termination reason: Unknown
% 1.51/0.69 % (32471)Termination phase: Saturation
% 1.51/0.69
% 1.51/0.69 % (32471)Memory used [KB]: 8443
% 1.51/0.69 % (32471)Time elapsed: 0.029 s
% 1.51/0.69 % (32471)Instructions burned: 52 (million)
% 1.51/0.69 % (32471)------------------------------
% 1.51/0.69 % (32471)------------------------------
% 1.51/0.69 % (32473)Instruction limit reached!
% 1.51/0.69 % (32473)------------------------------
% 1.51/0.69 % (32473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.69 % (32473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.69 % (32473)Termination reason: Unknown
% 1.51/0.69 % (32473)Termination phase: Saturation
% 1.51/0.69
% 1.51/0.69 % (32473)Memory used [KB]: 8059
% 1.51/0.69 % (32473)Time elapsed: 0.028 s
% 1.51/0.69 % (32473)Instructions burned: 49 (million)
% 1.51/0.69 % (32473)------------------------------
% 1.51/0.69 % (32473)------------------------------
% 1.51/0.69 % (32474)Instruction limit reached!
% 1.51/0.69 % (32474)------------------------------
% 1.51/0.69 % (32474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.69 % (32474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.69 % (32474)Termination reason: Unknown
% 1.51/0.69 % (32474)Termination phase: Finite model building preprocessing
% 1.51/0.69
% 1.51/0.69 % (32474)Memory used [KB]: 4093
% 1.51/0.69 % (32474)Time elapsed: 0.026 s
% 1.51/0.69 % (32474)Instructions burned: 51 (million)
% 1.51/0.69 % (32474)------------------------------
% 1.51/0.69 % (32474)------------------------------
% 1.51/0.69 % (32470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.69 % (32470)Termination reason: Unknown
% 1.51/0.69 % (32470)Termination phase: Property scanning
% 1.51/0.69
% 1.51/0.69 % (32470)Memory used [KB]: 3454
% 1.51/0.69 % (32470)Time elapsed: 0.022 s
% 1.51/0.69 % (32470)Instructions burned: 40 (million)
% 1.51/0.69 % (32470)------------------------------
% 1.51/0.69 % (32470)------------------------------
% 2.08/0.72 % (32478)Instruction limit reached!
% 2.08/0.72 % (32478)------------------------------
% 2.08/0.72 % (32478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.72 % (32478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.72 % (32478)Termination reason: Unknown
% 2.08/0.72 % (32478)Termination phase: Saturation
% 2.08/0.72
% 2.08/0.72 % (32478)Memory used [KB]: 8315
% 2.08/0.72 % (32478)Time elapsed: 0.028 s
% 2.08/0.72 % (32478)Instructions burned: 50 (million)
% 2.08/0.72 % (32478)------------------------------
% 2.08/0.72 % (32478)------------------------------
% 2.08/0.73 % (32469)Instruction limit reached!
% 2.08/0.73 % (32469)------------------------------
% 2.08/0.73 % (32469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.73 % (32469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.73 % (32469)Termination reason: Unknown
% 2.08/0.73 % (32469)Termination phase: Saturation
% 2.08/0.73
% 2.08/0.73 % (32469)Memory used [KB]: 8315
% 2.08/0.73 % (32469)Time elapsed: 0.029 s
% 2.08/0.73 % (32469)Instructions burned: 50 (million)
% 2.08/0.73 % (32469)------------------------------
% 2.08/0.73 % (32469)------------------------------
% 2.08/0.73 % (32483)Instruction limit reached!
% 2.08/0.73 % (32483)------------------------------
% 2.08/0.73 % (32483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.73 % (32483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.73 % (32483)Termination reason: Unknown
% 2.08/0.73 % (32483)Termination phase: Saturation
% 2.08/0.73
% 2.08/0.73 % (32483)Memory used [KB]: 4093
% 2.08/0.73 % (32483)Time elapsed: 0.066 s
% 2.08/0.73 % (32483)Instructions burned: 76 (million)
% 2.08/0.73 % (32483)------------------------------
% 2.08/0.73 % (32483)------------------------------
% 2.08/0.74 % (32494)Instruction limit reached!
% 2.08/0.74 % (32494)------------------------------
% 2.08/0.74 % (32494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.74 % (32494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.74 % (32494)Termination reason: Unknown
% 2.08/0.74 % (32494)Termination phase: Saturation
% 2.08/0.74
% 2.08/0.74 % (32494)Memory used [KB]: 10490
% 2.08/0.74 % (32494)Time elapsed: 0.038 s
% 2.08/0.74 % (32494)Instructions burned: 69 (million)
% 2.08/0.74 % (32494)------------------------------
% 2.08/0.74 % (32494)------------------------------
% 2.08/0.74 % (32485)Instruction limit reached!
% 2.08/0.74 % (32485)------------------------------
% 2.08/0.74 % (32485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.74 % (32485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.74 % (32485)Termination reason: Unknown
% 2.08/0.74 % (32485)Termination phase: Finite model building preprocessing
% 2.08/0.74
% 2.08/0.74 % (32485)Memory used [KB]: 4093
% 2.08/0.74 % (32485)Time elapsed: 0.032 s
% 2.08/0.74 % (32485)Instructions burned: 60 (million)
% 2.08/0.74 % (32485)------------------------------
% 2.08/0.74 % (32485)------------------------------
% 2.08/0.74 % (32477)Instruction limit reached!
% 2.08/0.74 % (32477)------------------------------
% 2.08/0.74 % (32477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.74 % (32477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.74 % (32477)Termination reason: Unknown
% 2.08/0.74 % (32477)Termination phase: Saturation
% 2.08/0.74
% 2.08/0.74 % (32477)Memory used [KB]: 4093
% 2.08/0.74 % (32477)Time elapsed: 0.029 s
% 2.08/0.74 % (32477)Instructions burned: 52 (million)
% 2.08/0.74 % (32477)------------------------------
% 2.08/0.74 % (32477)------------------------------
% 2.08/0.75 % (32555)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)
% 2.08/0.76 % (32482)Instruction limit reached!
% 2.08/0.76 % (32482)------------------------------
% 2.08/0.76 % (32482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.76 % (32482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.76 % (32482)Termination reason: Unknown
% 2.08/0.76 % (32482)Termination phase: Saturation
% 2.08/0.76
% 2.08/0.76 % (32482)Memory used [KB]: 10490
% 2.08/0.76 % (32482)Time elapsed: 0.038 s
% 2.08/0.76 % (32482)Instructions burned: 68 (million)
% 2.08/0.76 % (32482)------------------------------
% 2.08/0.76 % (32482)------------------------------
% 2.08/0.77 % (32480)Instruction limit reached!
% 2.08/0.77 % (32480)------------------------------
% 2.08/0.77 % (32480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.77 % (32480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.77 % (32480)Termination reason: Unknown
% 2.08/0.77 % (32480)Termination phase: Saturation
% 2.08/0.77
% 2.08/0.77 % (32480)Memory used [KB]: 9083
% 2.08/0.77 % (32480)Time elapsed: 0.084 s
% 2.08/0.77 % (32480)Instructions burned: 101 (million)
% 2.08/0.77 % (32480)------------------------------
% 2.08/0.77 % (32480)------------------------------
% 2.49/0.77 % (32556)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)
% 2.49/0.80 % (32557)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)
% 2.49/0.80 % (32479)Instruction limit reached!
% 2.49/0.80 % (32479)------------------------------
% 2.49/0.80 % (32479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.80 % (32479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.80 % (32479)Termination reason: Unknown
% 2.49/0.80 % (32479)Termination phase: Saturation
% 2.49/0.80
% 2.49/0.80 % (32479)Memory used [KB]: 9083
% 2.49/0.80 % (32479)Time elapsed: 0.317 s
% 2.49/0.80 % (32479)Instructions burned: 102 (million)
% 2.49/0.80 % (32479)------------------------------
% 2.49/0.80 % (32479)------------------------------
% 2.49/0.81 % (32487)Instruction limit reached!
% 2.49/0.81 % (32487)------------------------------
% 2.49/0.81 % (32487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.81 % (32487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.81 % (32487)Termination reason: Unknown
% 2.49/0.81 % (32487)Termination phase: Saturation
% 2.49/0.81
% 2.49/0.81 % (32487)Memory used [KB]: 4349
% 2.49/0.81 % (32487)Time elapsed: 0.054 s
% 2.49/0.81 % (32487)Instructions burned: 101 (million)
% 2.49/0.81 % (32487)------------------------------
% 2.49/0.81 % (32487)------------------------------
% 2.49/0.82 % (32481)Instruction limit reached!
% 2.49/0.82 % (32481)------------------------------
% 2.49/0.82 % (32481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.82 % (32481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.82 % (32481)Termination reason: Unknown
% 2.49/0.82 % (32481)Termination phase: Saturation
% 2.49/0.82
% 2.49/0.82 % (32481)Memory used [KB]: 8955
% 2.49/0.82 % (32481)Time elapsed: 0.060 s
% 2.49/0.82 % (32481)Instructions burned: 99 (million)
% 2.49/0.82 % (32481)------------------------------
% 2.49/0.82 % (32481)------------------------------
% 2.49/0.82 % (32484)Instruction limit reached!
% 2.49/0.82 % (32484)------------------------------
% 2.49/0.82 % (32484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.82 % (32484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.82 % (32484)Termination reason: Unknown
% 2.49/0.82 % (32484)Termination phase: Saturation
% 2.49/0.82
% 2.49/0.82 % (32484)Memory used [KB]: 8443
% 2.49/0.82 % (32484)Time elapsed: 0.326 s
% 2.49/0.82 % (32484)Instructions burned: 100 (million)
% 2.49/0.82 % (32484)------------------------------
% 2.49/0.82 % (32484)------------------------------
% 2.49/0.82 % (32558)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.49/0.83 % (32559)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.49/0.83 % (32561)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 (2996ds/655Mi)
% 2.49/0.83 % (32560)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 (2996ds/747Mi)
% 2.49/0.84 % (32562)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 (2996ds/68Mi)
% 2.49/0.84 % (32486)Instruction limit reached!
% 2.49/0.84 % (32486)------------------------------
% 2.49/0.84 % (32486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.84 % (32486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.84 % (32486)Termination reason: Unknown
% 2.49/0.84 % (32486)Termination phase: Saturation
% 2.49/0.84
% 2.49/0.84 % (32486)Memory used [KB]: 9338
% 2.49/0.84 % (32486)Time elapsed: 0.080 s
% 2.49/0.84 % (32486)Instructions burned: 101 (million)
% 2.49/0.84 % (32486)------------------------------
% 2.49/0.84 % (32486)------------------------------
% 2.49/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.49/0.86 % (32565)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)
% 2.49/0.86 % (32566)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)
% 2.85/0.87 % (32563)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)
% 2.85/0.87 % (32567)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.85/0.87 % (32564)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)
% 2.85/0.88 % (32488)Instruction limit reached!
% 2.85/0.88 % (32488)------------------------------
% 2.85/0.88 % (32488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.88 % (32488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.88 % (32488)Termination reason: Unknown
% 2.85/0.88 % (32488)Termination phase: Saturation
% 2.85/0.88
% 2.85/0.88 % (32488)Memory used [KB]: 9722
% 2.85/0.88 % (32488)Time elapsed: 0.158 s
% 2.85/0.88 % (32488)Instructions burned: 177 (million)
% 2.85/0.88 % (32488)------------------------------
% 2.85/0.88 % (32488)------------------------------
% 2.85/0.88 % (32569)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)
% 2.92/0.89 % (32568)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)
% 2.92/0.91 % (32557)Instruction limit reached!
% 2.92/0.91 % (32557)------------------------------
% 2.92/0.91 % (32557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.91 % (32557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.91 % (32557)Termination reason: Unknown
% 2.92/0.91 % (32557)Termination phase: Saturation
% 2.92/0.91
% 2.92/0.91 % (32557)Memory used [KB]: 8443
% 2.92/0.91 % (32557)Time elapsed: 0.162 s
% 2.92/0.91 % (32557)Instructions burned: 91 (million)
% 2.92/0.91 % (32557)------------------------------
% 2.92/0.91 % (32557)------------------------------
% 3.08/0.93 % (32489)Instruction limit reached!
% 3.08/0.93 % (32489)------------------------------
% 3.08/0.93 % (32489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.93 % (32489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.93 % (32489)Termination reason: Unknown
% 3.08/0.93 % (32489)Termination phase: Saturation
% 3.08/0.93
% 3.08/0.93 % (32489)Memory used [KB]: 9594
% 3.08/0.93 % (32489)Time elapsed: 0.084 s
% 3.08/0.93 % (32489)Instructions burned: 138 (million)
% 3.08/0.93 % (32489)------------------------------
% 3.08/0.93 % (32489)------------------------------
% 3.08/0.93 % (32495)Instruction limit reached!
% 3.08/0.93 % (32495)------------------------------
% 3.08/0.93 % (32495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.93 % (32495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.93 % (32495)Termination reason: Unknown
% 3.08/0.93 % (32495)Termination phase: Saturation
% 3.08/0.93
% 3.08/0.93 % (32495)Memory used [KB]: 5373
% 3.08/0.93 % (32495)Time elapsed: 0.445 s
% 3.08/0.93 % (32495)Instructions burned: 177 (million)
% 3.08/0.93 % (32495)------------------------------
% 3.08/0.93 % (32495)------------------------------
% 3.08/0.94 % (32571)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)
% 3.08/0.95 % (32573)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)
% 3.08/0.95 % (32570)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.08/0.95 % (32572)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)
% 3.08/0.96 % (32562)Instruction limit reached!
% 3.08/0.96 % (32562)------------------------------
% 3.08/0.96 % (32562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.96 % (32562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.96 % (32562)Termination reason: Unknown
% 3.08/0.96 % (32562)Termination phase: Saturation
% 3.08/0.96
% 3.08/0.96 % (32562)Memory used [KB]: 10490
% 3.08/0.96 % (32562)Time elapsed: 0.036 s
% 3.08/0.96 % (32562)Instructions burned: 68 (million)
% 3.08/0.96 % (32562)------------------------------
% 3.08/0.96 % (32562)------------------------------
% 3.08/0.98 % (32574)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)
% 3.08/0.99 % (32575)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.08/0.99 % (32565)Instruction limit reached!
% 3.08/0.99 % (32565)------------------------------
% 3.08/0.99 % (32565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/1.01 % (32565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/1.01 % (32565)Termination reason: Unknown
% 3.30/1.01 % (32565)Termination phase: Saturation
% 3.30/1.01
% 3.30/1.01 % (32565)Memory used [KB]: 8443
% 3.30/1.01 % (32565)Time elapsed: 0.230 s
% 3.30/1.01 % (32565)Instructions burned: 91 (million)
% 3.30/1.01 % (32565)------------------------------
% 3.30/1.01 % (32565)------------------------------
% 3.30/1.03 % (32576)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.50/1.07 % (32578)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 (2994ds/2016Mi)
% 3.50/1.08 % (32577)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 (2994ds/90Mi)
% 3.50/1.09 % (32579)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 3.50/1.09 % (32572)Instruction limit reached!
% 3.50/1.09 % (32572)------------------------------
% 3.50/1.09 % (32572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.09 % (32572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.09 % (32572)Termination reason: Unknown
% 3.50/1.09 % (32572)Termination phase: Saturation
% 3.50/1.09
% 3.50/1.09 % (32572)Memory used [KB]: 10490
% 3.50/1.09 % (32572)Time elapsed: 0.034 s
% 3.50/1.09 % (32572)Instructions burned: 69 (million)
% 3.50/1.09 % (32572)------------------------------
% 3.50/1.09 % (32572)------------------------------
% 3.50/1.11 % (32580)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 (2993ds/9965Mi)
% 3.50/1.15 % (32556)Instruction limit reached!
% 3.50/1.15 % (32556)------------------------------
% 3.50/1.15 % (32556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.16 % (32556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.16 % (32556)Termination reason: Unknown
% 3.50/1.16 % (32556)Termination phase: Saturation
% 3.50/1.16
% 3.50/1.16 % (32556)Memory used [KB]: 5756
% 3.50/1.16 % (32556)Time elapsed: 0.475 s
% 3.50/1.16 % (32556)Instructions burned: 211 (million)
% 3.50/1.16 % (32556)------------------------------
% 3.50/1.16 % (32556)------------------------------
% 5.98/1.23 % (32577)Instruction limit reached!
% 5.98/1.23 % (32577)------------------------------
% 5.98/1.23 % (32577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.98/1.23 % (32577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.98/1.23 % (32577)Termination reason: Unknown
% 5.98/1.23 % (32577)Termination phase: Saturation
% 5.98/1.23
% 5.98/1.23 % (32577)Memory used [KB]: 8443
% 5.98/1.23 % (32577)Time elapsed: 0.254 s
% 5.98/1.23 % (32577)Instructions burned: 90 (million)
% 5.98/1.23 % (32577)------------------------------
% 5.98/1.23 % (32577)------------------------------
% 5.98/1.23 % (32581)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.28/1.29 % (32582)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)
% 6.28/1.31 % (32498)Instruction limit reached!
% 6.28/1.31 % (32498)------------------------------
% 6.28/1.31 % (32498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.28/1.31 % (32498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.28/1.31 % (32498)Termination reason: Unknown
% 6.28/1.31 % (32498)Termination phase: Saturation
% 6.28/1.31
% 6.28/1.31 % (32498)Memory used [KB]: 13048
% 6.28/1.31 % (32498)Time elapsed: 0.819 s
% 6.28/1.31 % (32498)Instructions burned: 357 (million)
% 6.28/1.31 % (32498)------------------------------
% 6.28/1.31 % (32498)------------------------------
% 6.95/1.38 % (32583)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 (2991ds/1824Mi)
% 6.95/1.39 % (32555)Instruction limit reached!
% 6.95/1.39 % (32555)------------------------------
% 6.95/1.39 % (32555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.40 % (32555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.40 % (32555)Termination reason: Unknown
% 7.48/1.40 % (32555)Termination phase: Saturation
% 7.48/1.40
% 7.48/1.40 % (32555)Memory used [KB]: 10874
% 7.48/1.40 % (32555)Time elapsed: 0.740 s
% 7.48/1.40 % (32555)Instructions burned: 389 (million)
% 7.48/1.40 % (32555)------------------------------
% 7.48/1.40 % (32555)------------------------------
% 7.48/1.43 % (32497)Instruction limit reached!
% 7.48/1.43 % (32497)------------------------------
% 7.48/1.43 % (32497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.43 % (32497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.43 % (32497)Termination reason: Unknown
% 7.48/1.43 % (32497)Termination phase: Saturation
% 7.48/1.43
% 7.48/1.43 % (32497)Memory used [KB]: 15351
% 7.48/1.43 % (32497)Time elapsed: 0.918 s
% 7.48/1.43 % (32497)Instructions burned: 439 (million)
% 7.48/1.43 % (32497)------------------------------
% 7.48/1.43 % (32497)------------------------------
% 7.48/1.44 % (32490)Instruction limit reached!
% 7.48/1.44 % (32490)------------------------------
% 7.48/1.44 % (32490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.48/1.45 % (32490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.48/1.45 % (32490)Termination reason: Unknown
% 7.48/1.45 % (32490)Termination phase: Saturation
% 7.48/1.45
% 7.48/1.45 % (32490)Memory used [KB]: 6780
% 7.48/1.45 % (32490)Time elapsed: 0.948 s
% 7.48/1.45 % (32490)Instructions burned: 499 (million)
% 7.48/1.45 % (32490)------------------------------
% 7.48/1.45 % (32490)------------------------------
% 8.04/1.48 % (32584)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 8.04/1.49 TRYING [1]
% 8.04/1.50 % (32585)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.04/1.50 % (32491)Instruction limit reached!
% 8.04/1.50 % (32491)------------------------------
% 8.04/1.50 % (32491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.04/1.50 % (32491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.04/1.50 % (32491)Termination reason: Unknown
% 8.04/1.50 % (32491)Termination phase: Saturation
% 8.04/1.50
% 8.04/1.50 % (32491)Memory used [KB]: 12025
% 8.04/1.50 % (32491)Time elapsed: 0.990 s
% 8.04/1.50 % (32491)Instructions burned: 467 (million)
% 8.04/1.50 % (32491)------------------------------
% 8.04/1.50 % (32491)------------------------------
% 8.30/1.51 % (32493)Instruction limit reached!
% 8.30/1.51 % (32493)------------------------------
% 8.30/1.51 % (32493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.51 % (32493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.51 % (32493)Termination reason: Unknown
% 8.30/1.51 % (32493)Termination phase: Saturation
% 8.30/1.51
% 8.30/1.51 % (32493)Memory used [KB]: 12409
% 8.30/1.51 % (32493)Time elapsed: 0.984 s
% 8.30/1.51 % (32493)Instructions burned: 500 (million)
% 8.30/1.51 % (32493)------------------------------
% 8.30/1.51 % (32493)------------------------------
% 8.30/1.52 % (32492)Instruction limit reached!
% 8.30/1.52 % (32492)------------------------------
% 8.30/1.52 % (32492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.52 % (32492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.52 % (32492)Termination reason: Unknown
% 8.30/1.52 % (32492)Termination phase: Saturation
% 8.30/1.52
% 8.30/1.52 % (32492)Memory used [KB]: 13944
% 8.30/1.52 % (32492)Time elapsed: 0.931 s
% 8.30/1.52 % (32492)Instructions burned: 483 (million)
% 8.30/1.52 % (32492)------------------------------
% 8.30/1.52 % (32492)------------------------------
% 8.50/1.54 % (32586)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 (2989ds/90Mi)
% 8.50/1.60 % (32587)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 (2988ds/44001Mi)
% 8.50/1.60 % (32588)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 (2988ds/4958Mi)
% 9.05/1.63 % (32589)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 9.05/1.64 % (32590)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 9.05/1.65 % (32568)First to succeed.
% 9.05/1.67 % (32568)Refutation found. Thanks to Tanya!
% 9.05/1.67 % SZS status Unsatisfiable for theBenchmark
% 9.05/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/1.68 % (32568)------------------------------
% 9.05/1.68 % (32568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.05/1.68 % (32568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.05/1.68 % (32568)Termination reason: Refutation
% 9.05/1.68
% 9.05/1.68 % (32568)Memory used [KB]: 6268
% 9.05/1.68 % (32568)Time elapsed: 0.848 s
% 9.05/1.68 % (32568)Instructions burned: 521 (million)
% 9.05/1.68 % (32568)------------------------------
% 9.05/1.68 % (32568)------------------------------
% 9.05/1.68 % (32447)Success in time 1.323 s
%------------------------------------------------------------------------------