TSTP Solution File: LAT268-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT268-1 : 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 : n017.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 17:36:31 EDT 2022
% Result : Unsatisfiable 8.68s 1.57s
% Output : Refutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 370
% Syntax : Number of formulae : 616 ( 346 unt; 0 def)
% Number of atoms : 970 ( 173 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 535 ( 181 ~; 175 |; 0 &)
% ( 179 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 245 ( 243 usr; 180 prp; 0-3 aty)
% Number of functors : 75 ( 75 usr; 44 con; 0-4 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4063,plain,
$false,
inference(avatar_smt_refutation,[],[f2979,f2984,f2989,f2994,f2999,f3004,f3009,f3014,f3019,f3024,f3029,f3034,f3039,f3044,f3049,f3054,f3059,f3064,f3069,f3079,f3085,f3090,f3095,f3100,f3105,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3146,f3151,f3156,f3161,f3167,f3172,f3177,f3182,f3187,f3192,f3197,f3202,f3207,f3213,f3218,f3223,f3228,f3233,f3238,f3243,f3248,f3255,f3256,f3262,f3267,f3272,f3277,f3283,f3288,f3293,f3298,f3304,f3309,f3314,f3319,f3324,f3329,f3337,f3342,f3347,f3352,f3358,f3363,f3368,f3373,f3378,f3384,f3389,f3395,f3400,f3405,f3410,f3416,f3421,f3426,f3431,f3436,f3437,f3442,f3447,f3452,f3458,f3463,f3469,f3475,f3480,f3488,f3493,f3498,f3503,f3508,f3516,f3521,f3526,f3530,f3535,f3540,f3546,f3551,f3556,f3561,f3567,f3569,f3574,f3579,f3584,f3589,f3594,f3601,f3606,f3611,f3616,f3619,f3624,f3629,f3634,f3635,f3640,f3648,f3653,f3658,f3663,f3668,f3673,f3683,f3689,f3694,f3702,f3707,f3713,f3719,f3725,f3726,f3732,f3737,f3738,f3743,f3749,f3754,f3759,f3764,f3769,f3774,f3781,f3786,f3791,f3792,f3798,f3803,f3808,f3813,f3818,f3824,f3825,f3833,f3838,f3843,f3851,f3856,f3864,f3869,f3874,f3876,f3949,f3967,f3988,f3994,f4000,f4006,f4012,f4029,f4037,f4046,f4054,f4062]) ).
fof(f4062,plain,
( ~ spl0_67
| ~ spl0_51
| spl0_48
| ~ spl0_54
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f4061,f4052,f3245,f3215,f3230,f3316]) ).
fof(f3316,plain,
( spl0_67
<=> c_in(v_x,v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f3230,plain,
( spl0_51
<=> c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3215,plain,
( spl0_48
<=> c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3245,plain,
( spl0_54
<=> v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4052,plain,
( spl0_179
<=> ! [X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,X1,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f4061,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_x,v_S,t_a)
| spl0_48
| ~ spl0_54
| ~ spl0_179 ),
inference(resolution,[],[f4059,f3217]) ).
fof(f3217,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_48 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f4059,plain,
( ! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,X0,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) )
| ~ spl0_54
| ~ spl0_179 ),
inference(forward_demodulation,[],[f4058,f3247]) ).
fof(f3247,plain,
( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f3245]) ).
fof(f4058,plain,
( ! [X0,X1] :
( ~ c_in(X1,X0,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) )
| ~ spl0_179 ),
inference(resolution,[],[f4053,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X4] :
( ~ c_in(c_Pair(X0,X4,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| c_in(c_Pair(X4,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
fof(f4053,plain,
( ! [X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f4054,plain,
( spl0_179
| ~ spl0_110
| ~ spl0_82
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f4050,f3830,f3392,f3548,f4052]) ).
fof(f3548,plain,
( spl0_110
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f3392,plain,
( spl0_82
<=> v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f3830,plain,
( spl0_160
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f4050,plain,
( ! [X0,X1] :
( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a) )
| ~ spl0_82
| ~ spl0_160 ),
inference(forward_demodulation,[],[f4049,f3394]) ).
fof(f3394,plain,
( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3392]) ).
fof(f4049,plain,
( ! [X0,X1] :
( ~ c_in(X0,X1,t_a)
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )
| ~ spl0_160 ),
inference(forward_demodulation,[],[f4048,f12]) ).
fof(f12,axiom,
! [X2,X3] : c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f4048,plain,
( ! [X0,X1] :
( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X0,X1,t_a)
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))
| c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) )
| ~ spl0_160 ),
inference(resolution,[],[f2,f3832]) ).
fof(f3832,plain,
( c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f3830]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
fof(f4046,plain,
( spl0_178
| ~ spl0_33
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f4040,f3245,f3137,f4043]) ).
fof(f4043,plain,
( spl0_178
<=> c_Relation_Otrans(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f3137,plain,
( spl0_33
<=> c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f4040,plain,
( ~ c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Otrans(v_r,t_a)
| ~ spl0_54 ),
inference(superposition,[],[f7,f3247]) ).
fof(f7,axiom,
! [X2,X3] :
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),X2)
| ~ c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0) ).
fof(f4037,plain,
( spl0_177
| ~ spl0_51
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f4032,f3316,f3230,f4034]) ).
fof(f4034,plain,
( spl0_177
<=> c_in(v_x,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f4032,plain,
( c_in(v_x,v_A,t_a)
| ~ spl0_51
| ~ spl0_67 ),
inference(resolution,[],[f4017,f3318]) ).
fof(f3318,plain,
( c_in(v_x,v_S,t_a)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f3316]) ).
fof(f4017,plain,
( ! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) )
| ~ spl0_51 ),
inference(resolution,[],[f1698,f3232]) ).
fof(f3232,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f1698,axiom,
! [X2,X28,X29,X33] :
( ~ c_lessequals(X29,X33,tc_set(X2))
| ~ c_in(X28,X29,X2)
| c_in(X28,X33,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4029,plain,
( spl0_175
| ~ spl0_176
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4019,f3230,f4026,f4022]) ).
fof(f4022,plain,
( spl0_175
<=> v_A = v_S ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4026,plain,
( spl0_176
<=> c_lessequals(v_A,v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4019,plain,
( ~ c_lessequals(v_A,v_S,tc_set(t_a))
| v_A = v_S
| ~ spl0_51 ),
inference(resolution,[],[f1701,f3232]) ).
fof(f1701,axiom,
! [X2,X29,X33] :
( ~ c_lessequals(X33,X29,tc_set(X2))
| ~ c_lessequals(X29,X33,tc_set(X2))
| X29 = X33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4012,plain,
( spl0_174
| ~ spl0_2
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f4007,f3225,f2981,f4009]) ).
fof(f4009,plain,
( spl0_174
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f2981,plain,
( spl0_2
<=> 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_2])]) ).
fof(f3225,plain,
( spl0_50
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f4007,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_2
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2983,f3227]) ).
fof(f3227,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f2983,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f4006,plain,
( spl0_173
| ~ spl0_9
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f4001,f3225,f3016,f4003]) ).
fof(f4003,plain,
( spl0_173
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3016,plain,
( spl0_9
<=> 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_9])]) ).
fof(f4001,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_9
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3018,f3227]) ).
fof(f3018,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f4000,plain,
( spl0_172
| ~ spl0_56
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f3995,f3485,f3259,f3997]) ).
fof(f3997,plain,
( spl0_172
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3259,plain,
( spl0_56
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f3485,plain,
( spl0_99
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f3995,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_56
| ~ spl0_99 ),
inference(forward_demodulation,[],[f3261,f3487]) ).
fof(f3487,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f3485]) ).
fof(f3261,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f3259]) ).
fof(f3994,plain,
( spl0_171
| ~ spl0_64
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3989,f3660,f3301,f3991]) ).
fof(f3991,plain,
( spl0_171
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3301,plain,
( spl0_64
<=> 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_64])]) ).
fof(f3660,plain,
( spl0_131
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f3989,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_64
| ~ spl0_131 ),
inference(forward_demodulation,[],[f3303,f3662]) ).
fof(f3662,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f3303,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f3988,plain,
( spl0_170
| ~ spl0_19
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f3983,f3485,f3066,f3985]) ).
fof(f3985,plain,
( spl0_170
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3066,plain,
( spl0_19
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3983,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_19
| ~ spl0_99 ),
inference(backward_demodulation,[],[f3068,f3487]) ).
fof(f3068,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f3066]) ).
fof(f3967,plain,
( spl0_169
| ~ spl0_20
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3963,f3660,f3073,f3965]) ).
fof(f3965,plain,
( spl0_169
<=> ! [X27] : c_less(c_0,c_Divides_Oop_Amod(X27,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_169])]) ).
fof(f3073,plain,
( spl0_20
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f3963,plain,
( ! [X27] :
( c_0 != c_1
| c_less(c_0,c_Divides_Oop_Amod(X27,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_131 ),
inference(forward_subsumption_demodulation,[],[f3962,f952]) ).
fof(f952,axiom,
! [X13] :
( c_less(c_0,X13,tc_nat)
| c_0 = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f3962,plain,
( ! [X27] :
( c_1 != c_Divides_Oop_Amod(X27,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(X27,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_131 ),
inference(forward_demodulation,[],[f3916,f3662]) ).
fof(f3916,plain,
( ! [X27] :
( c_1 != c_Divides_Oop_Amod(X27,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(X27,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_131 ),
inference(backward_demodulation,[],[f839,f3662]) ).
fof(f839,axiom,
! [X27] :
( c_1 != c_Divides_Oop_Amod(X27,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(X27,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/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3949,plain,
( spl0_168
| ~ spl0_83
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3944,f3660,f3397,f3946]) ).
fof(f3946,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(f3397,plain,
( spl0_83
<=> 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_83])]) ).
fof(f3944,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_83
| ~ spl0_131 ),
inference(backward_demodulation,[],[f3399,f3662]) ).
fof(f3399,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3397]) ).
fof(f3876,plain,
spl0_70,
inference(avatar_split_clause,[],[f696,f3332]) ).
fof(f3332,plain,
( spl0_70
<=> ! [X79] :
( c_0 = c_Numeral_Onumber__of(X79,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f696,axiom,
! [X38] :
( c_0 = c_Numeral_Onumber__of(X38,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_2) ).
fof(f3874,plain,
spl0_167,
inference(avatar_split_clause,[],[f1772,f3871]) ).
fof(f3871,plain,
( spl0_167
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1772,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3869,plain,
spl0_166,
inference(avatar_split_clause,[],[f1732,f3866]) ).
fof(f3866,plain,
( spl0_166
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1732,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3864,plain,
spl0_165,
inference(avatar_split_clause,[],[f2770,f3861]) ).
fof(f3861,plain,
( spl0_165
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f2770,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f989,f992]) ).
fof(f992,axiom,
! [X37] : c_Numeral_Obin__minus(X37) = c_Numeral_Obin__mult(c_Numeral_OMin,X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f989,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3856,plain,
spl0_164,
inference(avatar_split_clause,[],[f1815,f3853]) ).
fof(f3853,plain,
( spl0_164
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1815,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3851,plain,
spl0_163,
inference(avatar_split_clause,[],[f1728,f3848]) ).
fof(f3848,plain,
( spl0_163
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1728,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3843,plain,
spl0_162,
inference(avatar_split_clause,[],[f1811,f3840]) ).
fof(f3840,plain,
( spl0_162
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1811,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3838,plain,
spl0_161,
inference(avatar_split_clause,[],[f543,f3835]) ).
fof(f3835,plain,
( spl0_161
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f543,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3833,plain,
spl0_160,
inference(avatar_split_clause,[],[f10,f3830]) ).
fof(f10,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f3825,plain,
~ spl0_28,
inference(avatar_split_clause,[],[f1023,f3112]) ).
fof(f3112,plain,
( spl0_28
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1023,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3824,plain,
spl0_159,
inference(avatar_split_clause,[],[f1746,f3821]) ).
fof(f3821,plain,
( spl0_159
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1746,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3818,plain,
spl0_158,
inference(avatar_split_clause,[],[f1744,f3815]) ).
fof(f3815,plain,
( spl0_158
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1744,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3813,plain,
spl0_157,
inference(avatar_split_clause,[],[f1820,f3810]) ).
fof(f3810,plain,
( spl0_157
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1820,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3808,plain,
spl0_156,
inference(avatar_split_clause,[],[f551,f3805]) ).
fof(f3805,plain,
( spl0_156
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f551,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3803,plain,
spl0_155,
inference(avatar_split_clause,[],[f1793,f3800]) ).
fof(f3800,plain,
( spl0_155
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1793,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3798,plain,
spl0_154,
inference(avatar_split_clause,[],[f3793,f3795]) ).
fof(f3795,plain,
( spl0_154
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f3793,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(forward_demodulation,[],[f349,f327]) ).
fof(f327,axiom,
! [X42] : c_1 = c_Nat_Opower(X42,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f349,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3792,plain,
spl0_2,
inference(avatar_split_clause,[],[f2853,f2981]) ).
fof(f2853,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,[],[f927,f1407]) ).
fof(f1407,axiom,
! [X40] : c_Suc(X40) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X40,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f927,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3791,plain,
spl0_153,
inference(avatar_split_clause,[],[f1747,f3788]) ).
fof(f3788,plain,
( spl0_153
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1747,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3786,plain,
spl0_152,
inference(avatar_split_clause,[],[f1726,f3783]) ).
fof(f3783,plain,
( spl0_152
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1726,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3781,plain,
spl0_151,
inference(avatar_split_clause,[],[f1767,f3778]) ).
fof(f3778,plain,
( spl0_151
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1767,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3774,plain,
spl0_150,
inference(avatar_split_clause,[],[f1391,f3771]) ).
fof(f3771,plain,
( spl0_150
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1391,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3769,plain,
spl0_149,
inference(avatar_split_clause,[],[f1774,f3766]) ).
fof(f3766,plain,
( spl0_149
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1774,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3764,plain,
spl0_148,
inference(avatar_split_clause,[],[f1018,f3761]) ).
fof(f3761,plain,
( spl0_148
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1018,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3759,plain,
spl0_147,
inference(avatar_split_clause,[],[f1813,f3756]) ).
fof(f3756,plain,
( spl0_147
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1813,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3754,plain,
spl0_146,
inference(avatar_split_clause,[],[f1751,f3751]) ).
fof(f3751,plain,
( spl0_146
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1751,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3749,plain,
( spl0_71
| spl0_145 ),
inference(avatar_split_clause,[],[f3745,f3747,f3335]) ).
fof(f3335,plain,
( spl0_71
<=> ! [X38] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f3747,plain,
( spl0_145
<=> ! [X2] :
( ~ class_Numeral_Onumber__ring(X2)
| c_0 = c_NatArith_Oof__nat(c_0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3745,plain,
! [X2,X38] :
( ~ class_Numeral_Onumber__ring(X2)
| c_0 = c_NatArith_Oof__nat(c_0,X2)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f731,f711]) ).
fof(f711,axiom,
! [X38] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X38,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f731,axiom,
! [X2,X38] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ class_Numeral_Onumber__ring(X2)
| c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X38,tc_nat),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f3743,plain,
spl0_144,
inference(avatar_split_clause,[],[f1741,f3740]) ).
fof(f3740,plain,
( spl0_144
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3738,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f113,f3621]) ).
fof(f3621,plain,
( spl0_123
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f113,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3737,plain,
spl0_143,
inference(avatar_split_clause,[],[f1397,f3734]) ).
fof(f3734,plain,
( spl0_143
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1397,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3732,plain,
spl0_142,
inference(avatar_split_clause,[],[f1808,f3729]) ).
fof(f3729,plain,
( spl0_142
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1808,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3726,plain,
spl0_99,
inference(avatar_split_clause,[],[f237,f3485]) ).
fof(f237,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3725,plain,
spl0_141,
inference(avatar_split_clause,[],[f1800,f3722]) ).
fof(f3722,plain,
( spl0_141
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1800,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3719,plain,
spl0_140,
inference(avatar_split_clause,[],[f1823,f3716]) ).
fof(f3716,plain,
( spl0_140
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1823,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3713,plain,
spl0_139,
inference(avatar_split_clause,[],[f1745,f3710]) ).
fof(f3710,plain,
( spl0_139
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1745,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3707,plain,
spl0_138,
inference(avatar_split_clause,[],[f1834,f3704]) ).
fof(f3704,plain,
( spl0_138
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1834,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3702,plain,
( spl0_137
| spl0_71 ),
inference(avatar_split_clause,[],[f3698,f3335,f3700]) ).
fof(f3700,plain,
( spl0_137
<=> ! [X38] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X38,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3698,plain,
! [X38,X79] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X38,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f704,f711]) ).
fof(f704,axiom,
! [X38,X79] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X38,tc_nat) = c_Numeral_Onumber__of(X79,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3694,plain,
spl0_136,
inference(avatar_split_clause,[],[f234,f3691]) ).
fof(f3691,plain,
( spl0_136
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f234,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3689,plain,
spl0_135,
inference(avatar_split_clause,[],[f1153,f3686]) ).
fof(f3686,plain,
( spl0_135
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1153,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3683,plain,
spl0_134,
inference(avatar_split_clause,[],[f1822,f3680]) ).
fof(f3680,plain,
( spl0_134
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1822,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3673,plain,
spl0_133,
inference(avatar_split_clause,[],[f2866,f3670]) ).
fof(f3670,plain,
( spl0_133
<=> 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_133])]) ).
fof(f2866,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f996,f976]) ).
fof(f976,axiom,
! [X37] : c_Numeral_Obin__pred(X37) = c_Numeral_Obin__add(X37,c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).
fof(f996,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3668,plain,
spl0_132,
inference(avatar_split_clause,[],[f1764,f3665]) ).
fof(f3665,plain,
( spl0_132
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1764,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3663,plain,
spl0_131,
inference(avatar_split_clause,[],[f1019,f3660]) ).
fof(f1019,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3658,plain,
spl0_130,
inference(avatar_split_clause,[],[f1805,f3655]) ).
fof(f3655,plain,
( spl0_130
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1805,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3653,plain,
spl0_129,
inference(avatar_split_clause,[],[f1806,f3650]) ).
fof(f3650,plain,
( spl0_129
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1806,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3648,plain,
( spl0_127
| spl0_128 ),
inference(avatar_split_clause,[],[f3641,f3646,f3643]) ).
fof(f3643,plain,
( spl0_127
<=> ! [X37] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X37,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X37,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3646,plain,
( spl0_128
<=> ! [X2] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ class_Power_Orecpower(X2)
| c_lessequals(c_0,c_0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f3641,plain,
! [X2,X37] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(c_0,c_0,X2)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X37,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X37,tc_nat)
| ~ class_Power_Orecpower(X2) ),
inference(forward_subsumption_demodulation,[],[f1185,f1175]) ).
fof(f1175,axiom,
! [X2,X37] :
( c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X37,tc_nat),X2)
| ~ class_Power_Orecpower(X2)
| c_0 = c_Numeral_Onumber__of(X37,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f1185,axiom,
! [X2,X37] :
( ~ class_Power_Orecpower(X2)
| c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X37,tc_nat),X2),c_0,X2)
| c_0 = c_Numeral_Onumber__of(X37,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X37,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3640,plain,
spl0_126,
inference(avatar_split_clause,[],[f542,f3637]) ).
fof(f3637,plain,
( spl0_126
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f542,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3635,plain,
spl0_70,
inference(avatar_split_clause,[],[f712,f3332]) ).
fof(f712,axiom,
! [X38] :
( c_0 = c_Numeral_Onumber__of(X38,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f3634,plain,
spl0_125,
inference(avatar_split_clause,[],[f1721,f3631]) ).
fof(f3631,plain,
( spl0_125
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1721,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3629,plain,
spl0_124,
inference(avatar_split_clause,[],[f1824,f3626]) ).
fof(f3626,plain,
( spl0_124
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1824,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3624,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f114,f3621]) ).
fof(f114,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3619,plain,
( spl0_71
| spl0_70 ),
inference(avatar_split_clause,[],[f3618,f3332,f3335]) ).
fof(f3618,plain,
! [X38,X79] :
( c_0 = c_Numeral_Onumber__of(X38,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2974,f711]) ).
fof(f2974,plain,
! [X38,X79] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X38,tc_nat) = c_Numeral_Onumber__of(X79,tc_nat) ),
inference(duplicate_literal_removal,[],[f700]) ).
fof(f700,axiom,
! [X38,X79] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X38,tc_nat) = c_Numeral_Onumber__of(X79,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3616,plain,
spl0_122,
inference(avatar_split_clause,[],[f1803,f3613]) ).
fof(f3613,plain,
( spl0_122
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1803,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3611,plain,
spl0_121,
inference(avatar_split_clause,[],[f1750,f3608]) ).
fof(f3608,plain,
( spl0_121
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1750,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3606,plain,
~ spl0_120,
inference(avatar_split_clause,[],[f1492,f3603]) ).
fof(f3603,plain,
( spl0_120
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1492,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3601,plain,
spl0_119,
inference(avatar_split_clause,[],[f1722,f3598]) ).
fof(f3598,plain,
( spl0_119
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1722,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3594,plain,
spl0_118,
inference(avatar_split_clause,[],[f1829,f3591]) ).
fof(f3591,plain,
( spl0_118
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1829,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3589,plain,
spl0_117,
inference(avatar_split_clause,[],[f1729,f3586]) ).
fof(f3586,plain,
( spl0_117
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1729,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3584,plain,
spl0_116,
inference(avatar_split_clause,[],[f1763,f3581]) ).
fof(f3581,plain,
( spl0_116
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1763,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3579,plain,
spl0_115,
inference(avatar_split_clause,[],[f537,f3576]) ).
fof(f3576,plain,
( spl0_115
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f537,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3574,plain,
spl0_114,
inference(avatar_split_clause,[],[f969,f3571]) ).
fof(f3571,plain,
( spl0_114
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f969,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3569,plain,
( spl0_71
| spl0_50 ),
inference(avatar_split_clause,[],[f3568,f3225,f3335]) ).
fof(f3568,plain,
! [X38] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2956,f711]) ).
fof(f2956,plain,
! [X38] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X38,tc_nat),tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(definition_unfolding,[],[f685,f1407]) ).
fof(f685,axiom,
! [X38] :
( c_1 = c_Suc(c_Numeral_Onumber__of(X38,tc_nat))
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f3567,plain,
spl0_113,
inference(avatar_split_clause,[],[f540,f3564]) ).
fof(f3564,plain,
( spl0_113
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f540,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3561,plain,
spl0_112,
inference(avatar_split_clause,[],[f1784,f3558]) ).
fof(f3558,plain,
( spl0_112
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1784,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3556,plain,
( spl0_71
| spl0_111 ),
inference(avatar_split_clause,[],[f3552,f3554,f3335]) ).
fof(f3554,plain,
( spl0_111
<=> ! [X38] :
( c_Numeral_Onumber__of(X38,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X38,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f3552,plain,
! [X38,X79] :
( c_Numeral_Onumber__of(X38,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X38,tc_nat),c_0,tc_nat)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f724,f711]) ).
fof(f724,axiom,
! [X38,X79] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X38,tc_nat) = c_Divides_Oop_Amod(c_Numeral_Onumber__of(X38,tc_nat),c_Numeral_Onumber__of(X79,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Omod__nat__number__of_1) ).
fof(f3551,plain,
spl0_110,
inference(avatar_split_clause,[],[f9,f3548]) ).
fof(f9,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f3546,plain,
spl0_109,
inference(avatar_split_clause,[],[f1817,f3543]) ).
fof(f3543,plain,
( spl0_109
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1817,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3540,plain,
spl0_108,
inference(avatar_split_clause,[],[f1737,f3537]) ).
fof(f3537,plain,
( spl0_108
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1737,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3535,plain,
spl0_107,
inference(avatar_split_clause,[],[f968,f3532]) ).
fof(f3532,plain,
( spl0_107
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f968,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3530,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f233,f3073]) ).
fof(f233,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3526,plain,
spl0_106,
inference(avatar_split_clause,[],[f1725,f3523]) ).
fof(f3523,plain,
( spl0_106
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1725,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3521,plain,
spl0_105,
inference(avatar_split_clause,[],[f1788,f3518]) ).
fof(f3518,plain,
( spl0_105
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1788,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3516,plain,
spl0_104,
inference(avatar_split_clause,[],[f1724,f3513]) ).
fof(f3513,plain,
( spl0_104
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3508,plain,
spl0_103,
inference(avatar_split_clause,[],[f544,f3505]) ).
fof(f3505,plain,
( spl0_103
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f544,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3503,plain,
spl0_102,
inference(avatar_split_clause,[],[f213,f3500]) ).
fof(f3500,plain,
( spl0_102
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f213,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3498,plain,
spl0_101,
inference(avatar_split_clause,[],[f1799,f3495]) ).
fof(f3495,plain,
( spl0_101
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1799,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3493,plain,
spl0_100,
inference(avatar_split_clause,[],[f1757,f3490]) ).
fof(f3490,plain,
( spl0_100
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1757,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3488,plain,
( spl0_99
| spl0_71 ),
inference(avatar_split_clause,[],[f3483,f3335,f3485]) ).
fof(f3483,plain,
! [X38] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_0) ),
inference(forward_subsumption_demodulation,[],[f714,f711]) ).
fof(f714,axiom,
! [X38] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_Numeral_Onumber__of(X38,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f3480,plain,
spl0_98,
inference(avatar_split_clause,[],[f1756,f3477]) ).
fof(f3477,plain,
( spl0_98
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1756,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3475,plain,
spl0_97,
inference(avatar_split_clause,[],[f1833,f3472]) ).
fof(f3472,plain,
( spl0_97
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1833,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3469,plain,
spl0_96,
inference(avatar_split_clause,[],[f1733,f3466]) ).
fof(f3466,plain,
( spl0_96
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1733,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3463,plain,
spl0_95,
inference(avatar_split_clause,[],[f2908,f3460]) ).
fof(f3460,plain,
( spl0_95
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f2908,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin),
inference(definition_unfolding,[],[f997,f976]) ).
fof(f997,axiom,
c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).
fof(f3458,plain,
spl0_94,
inference(avatar_split_clause,[],[f1768,f3455]) ).
fof(f3455,plain,
( spl0_94
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1768,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3452,plain,
spl0_93,
inference(avatar_split_clause,[],[f1804,f3449]) ).
fof(f3449,plain,
( spl0_93
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1804,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3447,plain,
( spl0_71
| spl0_92 ),
inference(avatar_split_clause,[],[f3443,f3445,f3335]) ).
fof(f3445,plain,
( spl0_92
<=> ! [X79] : c_0 = c_times(c_0,c_Numeral_Onumber__of(X79,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f3443,plain,
! [X38,X79] :
( c_0 = c_times(c_0,c_Numeral_Onumber__of(X79,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f726,f711]) ).
fof(f726,axiom,
! [X38,X79] :
( c_0 = c_times(c_Numeral_Onumber__of(X38,tc_nat),c_Numeral_Onumber__of(X79,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Omult__nat__number__of_0) ).
fof(f3442,plain,
spl0_91,
inference(avatar_split_clause,[],[f1738,f3439]) ).
fof(f3439,plain,
( spl0_91
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1738,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3437,plain,
spl0_22,
inference(avatar_split_clause,[],[f912,f3082]) ).
fof(f3082,plain,
( spl0_22
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f912,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3436,plain,
spl0_90,
inference(avatar_split_clause,[],[f1831,f3433]) ).
fof(f3433,plain,
( spl0_90
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1831,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3431,plain,
spl0_89,
inference(avatar_split_clause,[],[f1802,f3428]) ).
fof(f3428,plain,
( spl0_89
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1802,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3426,plain,
spl0_88,
inference(avatar_split_clause,[],[f1765,f3423]) ).
fof(f3423,plain,
( spl0_88
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1765,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3421,plain,
spl0_87,
inference(avatar_split_clause,[],[f1762,f3418]) ).
fof(f3418,plain,
( spl0_87
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1762,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3416,plain,
spl0_86,
inference(avatar_split_clause,[],[f1810,f3413]) ).
fof(f3413,plain,
( spl0_86
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1810,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3410,plain,
spl0_85,
inference(avatar_split_clause,[],[f1760,f3407]) ).
fof(f3407,plain,
( spl0_85
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3405,plain,
spl0_84,
inference(avatar_split_clause,[],[f1730,f3402]) ).
fof(f3402,plain,
( spl0_84
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1730,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3400,plain,
spl0_83,
inference(avatar_split_clause,[],[f730,f3397]) ).
fof(f730,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3395,plain,
spl0_82,
inference(avatar_split_clause,[],[f1,f3392]) ).
fof(f1,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3389,plain,
spl0_81,
inference(avatar_split_clause,[],[f1826,f3386]) ).
fof(f3386,plain,
( spl0_81
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1826,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3384,plain,
spl0_80,
inference(avatar_split_clause,[],[f1801,f3381]) ).
fof(f3381,plain,
( spl0_80
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1801,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3378,plain,
spl0_79,
inference(avatar_split_clause,[],[f1759,f3375]) ).
fof(f3375,plain,
( spl0_79
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3373,plain,
spl0_78,
inference(avatar_split_clause,[],[f550,f3370]) ).
fof(f3370,plain,
( spl0_78
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f550,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3368,plain,
spl0_77,
inference(avatar_split_clause,[],[f1716,f3365]) ).
fof(f3365,plain,
( spl0_77
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1716,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3363,plain,
spl0_76,
inference(avatar_split_clause,[],[f1739,f3360]) ).
fof(f3360,plain,
( spl0_76
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1739,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3358,plain,
spl0_75,
inference(avatar_split_clause,[],[f1720,f3355]) ).
fof(f3355,plain,
( spl0_75
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1720,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3352,plain,
spl0_74,
inference(avatar_split_clause,[],[f1735,f3349]) ).
fof(f3349,plain,
( spl0_74
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1735,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3347,plain,
~ spl0_73,
inference(avatar_split_clause,[],[f172,f3344]) ).
fof(f3344,plain,
( spl0_73
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f172,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3342,plain,
spl0_72,
inference(avatar_split_clause,[],[f1758,f3339]) ).
fof(f3339,plain,
( spl0_72
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3337,plain,
( spl0_70
| spl0_71 ),
inference(avatar_split_clause,[],[f3330,f3335,f3332]) ).
fof(f3330,plain,
! [X38,X79] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X79,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f706,f711]) ).
fof(f706,axiom,
! [X38,X79] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X79,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X38,tc_nat) = c_Numeral_Onumber__of(X79,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X38,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3329,plain,
spl0_69,
inference(avatar_split_clause,[],[f1727,f3326]) ).
fof(f3326,plain,
( spl0_69
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1727,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3324,plain,
spl0_68,
inference(avatar_split_clause,[],[f1828,f3321]) ).
fof(f3321,plain,
( spl0_68
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1828,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3319,plain,
spl0_67,
inference(avatar_split_clause,[],[f2751,f3316]) ).
fof(f2751,axiom,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3314,plain,
spl0_66,
inference(avatar_split_clause,[],[f548,f3311]) ).
fof(f3311,plain,
( spl0_66
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f548,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3309,plain,
spl0_65,
inference(avatar_split_clause,[],[f89,f3306]) ).
fof(f3306,plain,
( spl0_65
<=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f89,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff_1) ).
fof(f3304,plain,
spl0_64,
inference(avatar_split_clause,[],[f2957,f3301]) ).
fof(f2957,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f988,f992]) ).
fof(f988,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3298,plain,
spl0_63,
inference(avatar_split_clause,[],[f1773,f3295]) ).
fof(f3295,plain,
( spl0_63
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1773,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3293,plain,
spl0_62,
inference(avatar_split_clause,[],[f1771,f3290]) ).
fof(f3290,plain,
( spl0_62
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1771,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3288,plain,
spl0_61,
inference(avatar_split_clause,[],[f1752,f3285]) ).
fof(f3285,plain,
( spl0_61
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1752,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3283,plain,
spl0_60,
inference(avatar_split_clause,[],[f1821,f3280]) ).
fof(f3280,plain,
( spl0_60
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1821,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3277,plain,
spl0_59,
inference(avatar_split_clause,[],[f549,f3274]) ).
fof(f3274,plain,
( spl0_59
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f549,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f3272,plain,
spl0_58,
inference(avatar_split_clause,[],[f1779,f3269]) ).
fof(f3269,plain,
( spl0_58
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1779,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3267,plain,
spl0_57,
inference(avatar_split_clause,[],[f1761,f3264]) ).
fof(f3264,plain,
( spl0_57
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1761,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3262,plain,
spl0_56,
inference(avatar_split_clause,[],[f240,f3259]) ).
fof(f240,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3256,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f1258,f3077,f3073]) ).
fof(f3077,plain,
( spl0_21
<=> ! [X2] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1258,axiom,
! [X2] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X2)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3255,plain,
spl0_55,
inference(avatar_split_clause,[],[f536,f3252]) ).
fof(f3252,plain,
( spl0_55
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f536,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3248,plain,
spl0_54,
inference(avatar_split_clause,[],[f13,f3245]) ).
fof(f13,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3243,plain,
spl0_53,
inference(avatar_split_clause,[],[f1430,f3240]) ).
fof(f3240,plain,
( spl0_53
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1430,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3238,plain,
spl0_52,
inference(avatar_split_clause,[],[f1166,f3235]) ).
fof(f3235,plain,
( spl0_52
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1166,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3233,plain,
spl0_51,
inference(avatar_split_clause,[],[f2750,f3230]) ).
fof(f2750,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3228,plain,
spl0_50,
inference(avatar_split_clause,[],[f2888,f3225]) ).
fof(f2888,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f879,f1407]) ).
fof(f879,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3223,plain,
spl0_49,
inference(avatar_split_clause,[],[f1819,f3220]) ).
fof(f3220,plain,
( spl0_49
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1819,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3218,plain,
~ spl0_48,
inference(avatar_split_clause,[],[f2902,f3215]) ).
fof(f2902,plain,
~ c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(definition_unfolding,[],[f2752,f11]) ).
fof(f11,axiom,
! [X2,X3,X1] : c_Tarski_Oglb(X1,X3,X2) = c_Tarski_Olub(X1,c_Tarski_Odual(X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f2752,axiom,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3213,plain,
spl0_47,
inference(avatar_split_clause,[],[f1736,f3210]) ).
fof(f3210,plain,
( spl0_47
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1736,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3207,plain,
spl0_46,
inference(avatar_split_clause,[],[f1749,f3204]) ).
fof(f3204,plain,
( spl0_46
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1749,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3202,plain,
spl0_45,
inference(avatar_split_clause,[],[f1714,f3199]) ).
fof(f3199,plain,
( spl0_45
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1714,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3197,plain,
spl0_44,
inference(avatar_split_clause,[],[f47,f3194]) ).
fof(f3194,plain,
( spl0_44
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f47,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3192,plain,
~ spl0_43,
inference(avatar_split_clause,[],[f953,f3189]) ).
fof(f3189,plain,
( spl0_43
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f953,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3187,plain,
spl0_42,
inference(avatar_split_clause,[],[f1825,f3184]) ).
fof(f3184,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1825,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3182,plain,
spl0_41,
inference(avatar_split_clause,[],[f545,f3179]) ).
fof(f3179,plain,
( spl0_41
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f545,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3177,plain,
spl0_40,
inference(avatar_split_clause,[],[f117,f3174]) ).
fof(f3174,plain,
( spl0_40
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f117,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3172,plain,
spl0_39,
inference(avatar_split_clause,[],[f1743,f3169]) ).
fof(f3169,plain,
( spl0_39
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1743,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3167,plain,
spl0_38,
inference(avatar_split_clause,[],[f1734,f3164]) ).
fof(f3164,plain,
( spl0_38
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1734,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3161,plain,
spl0_37,
inference(avatar_split_clause,[],[f546,f3158]) ).
fof(f3158,plain,
( spl0_37
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f546,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3156,plain,
spl0_36,
inference(avatar_split_clause,[],[f1818,f3153]) ).
fof(f3153,plain,
( spl0_36
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1818,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3151,plain,
spl0_35,
inference(avatar_split_clause,[],[f1832,f3148]) ).
fof(f3148,plain,
( spl0_35
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1832,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3146,plain,
spl0_34,
inference(avatar_split_clause,[],[f538,f3143]) ).
fof(f3143,plain,
( spl0_34
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f538,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3140,plain,
spl0_33,
inference(avatar_split_clause,[],[f8,f3137]) ).
fof(f8,axiom,
c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
fof(f3135,plain,
spl0_32,
inference(avatar_split_clause,[],[f1740,f3132]) ).
fof(f3132,plain,
( spl0_32
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1740,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3130,plain,
spl0_31,
inference(avatar_split_clause,[],[f539,f3127]) ).
fof(f3127,plain,
( spl0_31
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f539,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3125,plain,
spl0_30,
inference(avatar_split_clause,[],[f547,f3122]) ).
fof(f3122,plain,
( spl0_30
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f547,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3120,plain,
spl0_29,
inference(avatar_split_clause,[],[f1748,f3117]) ).
fof(f3117,plain,
( spl0_29
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1748,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3115,plain,
~ spl0_28,
inference(avatar_split_clause,[],[f1022,f3112]) ).
fof(f1022,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3110,plain,
spl0_27,
inference(avatar_split_clause,[],[f1766,f3107]) ).
fof(f3107,plain,
( spl0_27
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1766,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3105,plain,
spl0_26,
inference(avatar_split_clause,[],[f1816,f3102]) ).
fof(f3102,plain,
( spl0_26
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1816,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3100,plain,
spl0_25,
inference(avatar_split_clause,[],[f118,f3097]) ).
fof(f3097,plain,
( spl0_25
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f118,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3095,plain,
spl0_24,
inference(avatar_split_clause,[],[f1723,f3092]) ).
fof(f3092,plain,
( spl0_24
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1723,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3090,plain,
spl0_23,
inference(avatar_split_clause,[],[f1809,f3087]) ).
fof(f3087,plain,
( spl0_23
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1809,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3085,plain,
spl0_22,
inference(avatar_split_clause,[],[f3080,f3082]) ).
fof(f3080,plain,
c_less(c_0,c_1,tc_nat),
inference(backward_demodulation,[],[f1206,f1207]) ).
fof(f1207,axiom,
! [X42] : c_1 = c_Nat_Opower(X42,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f1206,axiom,
! [X0] : c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3079,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f1361,f3077,f3073]) ).
fof(f1361,axiom,
! [X2] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X2)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3069,plain,
spl0_19,
inference(avatar_split_clause,[],[f254,f3066]) ).
fof(f254,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f3064,plain,
spl0_18,
inference(avatar_split_clause,[],[f1812,f3061]) ).
fof(f3061,plain,
( spl0_18
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3059,plain,
spl0_17,
inference(avatar_split_clause,[],[f1027,f3056]) ).
fof(f3056,plain,
( spl0_17
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1027,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3054,plain,
spl0_16,
inference(avatar_split_clause,[],[f1026,f3051]) ).
fof(f3051,plain,
( spl0_16
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1026,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3049,plain,
spl0_15,
inference(avatar_split_clause,[],[f541,f3046]) ).
fof(f3046,plain,
( spl0_15
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f541,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3044,plain,
spl0_14,
inference(avatar_split_clause,[],[f1807,f3041]) ).
fof(f3041,plain,
( spl0_14
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1807,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3039,plain,
spl0_13,
inference(avatar_split_clause,[],[f1754,f3036]) ).
fof(f3036,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1754,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3034,plain,
spl0_12,
inference(avatar_split_clause,[],[f2758,f3031]) ).
fof(f3031,plain,
( spl0_12
<=> 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_12])]) ).
fof(f2758,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,[],[f91,f1407,f1407]) ).
fof(f91,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).
fof(f3029,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f1173,f3026]) ).
fof(f3026,plain,
( spl0_11
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1173,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3024,plain,
spl0_10,
inference(avatar_split_clause,[],[f1776,f3021]) ).
fof(f3021,plain,
( spl0_10
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1776,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3019,plain,
spl0_9,
inference(avatar_split_clause,[],[f2912,f3016]) ).
fof(f2912,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f207,f1407]) ).
fof(f207,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3014,plain,
spl0_8,
inference(avatar_split_clause,[],[f1755,f3011]) ).
fof(f3011,plain,
( spl0_8
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1755,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3009,plain,
spl0_7,
inference(avatar_split_clause,[],[f249,f3006]) ).
fof(f3006,plain,
( spl0_7
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f249,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3004,plain,
spl0_6,
inference(avatar_split_clause,[],[f1798,f3001]) ).
fof(f3001,plain,
( spl0_6
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1798,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f2999,plain,
spl0_5,
inference(avatar_split_clause,[],[f1785,f2996]) ).
fof(f2996,plain,
( spl0_5
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1785,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f2994,plain,
spl0_4,
inference(avatar_split_clause,[],[f1770,f2991]) ).
fof(f2991,plain,
( spl0_4
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1770,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f2989,plain,
spl0_3,
inference(avatar_split_clause,[],[f1814,f2986]) ).
fof(f2986,plain,
( spl0_3
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1814,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f2984,plain,
spl0_2,
inference(avatar_split_clause,[],[f2918,f2981]) ).
fof(f2918,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,[],[f957,f1407]) ).
fof(f957,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f2979,plain,
spl0_1,
inference(avatar_split_clause,[],[f729,f2976]) ).
fof(f2976,plain,
( spl0_1
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f729,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT268-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 00:21:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57 % (22942)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (22942)Instruction limit reached!
% 0.19/0.57 % (22942)------------------------------
% 0.19/0.57 % (22942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (22942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (22942)Termination reason: Unknown
% 0.19/0.57 % (22942)Termination phase: shuffling
% 0.19/0.57
% 0.19/0.57 % (22942)Memory used [KB]: 2942
% 0.19/0.57 % (22942)Time elapsed: 0.004 s
% 0.19/0.57 % (22942)Instructions burned: 2 (million)
% 0.19/0.57 % (22942)------------------------------
% 0.19/0.57 % (22942)------------------------------
% 0.19/0.57 % (22956)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)
% 0.19/0.57 % (22950)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)
% 0.19/0.58 % (22948)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.59 % (22940)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61 % (22938)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61 % (22939)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.61 % (22937)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.62 % (22957)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.62 % (22960)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.62 % (22936)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.62 % (22943)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.62 % (22962)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.62 % (22963)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.62 % (22934)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.62 % (22961)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.63 % (22954)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)
% 0.19/0.63 % (22952)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.63 % (22959)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.63 % (22955)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.63 % (22958)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.63 % (22945)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.63 % (22946)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.64 % (22944)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.64 % (22951)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.64 % (22947)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.64 % (22953)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.64 % (22935)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.64 % (22941)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.64 % (22949)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)
% 0.19/0.67 % (22941)Instruction limit reached!
% 0.19/0.67 % (22941)------------------------------
% 0.19/0.67 % (22941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.67 % (22941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.67 % (22941)Termination reason: Unknown
% 0.19/0.67 % (22941)Termination phase: Function definition elimination
% 0.19/0.67
% 0.19/0.67 % (22941)Memory used [KB]: 3326
% 0.19/0.67 % (22941)Time elapsed: 0.008 s
% 0.19/0.67 % (22941)Instructions burned: 8 (million)
% 0.19/0.67 % (22941)------------------------------
% 0.19/0.67 % (22941)------------------------------
% 0.19/0.67 % (22940)Instruction limit reached!
% 0.19/0.67 % (22940)------------------------------
% 0.19/0.67 % (22940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.67 % (22940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.67 % (22940)Termination reason: Unknown
% 0.19/0.67 % (22940)Termination phase: Finite model building preprocessing
% 0.19/0.67
% 0.19/0.67 % (22940)Memory used [KB]: 4221
% 0.19/0.67 % (22940)Time elapsed: 0.027 s
% 0.19/0.67 % (22940)Instructions burned: 52 (million)
% 0.19/0.67 % (22940)------------------------------
% 0.19/0.67 % (22940)------------------------------
% 0.19/0.68 % (22936)Instruction limit reached!
% 0.19/0.68 % (22936)------------------------------
% 0.19/0.68 % (22936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.68 % (22936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.68 % (22936)Termination reason: Unknown
% 0.19/0.68 % (22936)Termination phase: Property scanning
% 0.19/0.68
% 0.19/0.68 % (22936)Memory used [KB]: 3454
% 0.19/0.68 % (22936)Time elapsed: 0.022 s
% 0.19/0.68 % (22936)Instructions burned: 38 (million)
% 0.19/0.68 % (22936)------------------------------
% 0.19/0.68 % (22936)------------------------------
% 0.19/0.70 % (22938)Instruction limit reached!
% 0.19/0.70 % (22938)------------------------------
% 0.19/0.70 % (22938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.70 % (22938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.70 % (22938)Termination reason: Unknown
% 0.19/0.70 % (22938)Termination phase: Property scanning
% 0.19/0.70
% 0.19/0.70 % (22938)Memory used [KB]: 3454
% 0.19/0.70 % (22938)Time elapsed: 0.027 s
% 0.19/0.70 % (22938)Instructions burned: 53 (million)
% 0.19/0.70 % (22938)------------------------------
% 0.19/0.70 % (22938)------------------------------
% 0.19/0.70 % (22939)Instruction limit reached!
% 0.19/0.70 % (22939)------------------------------
% 0.19/0.70 % (22939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.70 % (22939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.70 % (22939)Termination reason: Unknown
% 0.19/0.70 % (22939)Termination phase: Saturation
% 0.19/0.70
% 0.19/0.70 % (22939)Memory used [KB]: 8059
% 0.19/0.70 % (22939)Time elapsed: 0.026 s
% 0.19/0.70 % (22939)Instructions burned: 49 (million)
% 0.19/0.70 % (22939)------------------------------
% 0.19/0.70 % (22939)------------------------------
% 0.19/0.70 % (22937)Instruction limit reached!
% 0.19/0.70 % (22937)------------------------------
% 0.19/0.70 % (22937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.70 % (22937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.70 % (22937)Termination reason: Unknown
% 0.19/0.70 % (22937)Termination phase: Saturation
% 0.19/0.70
% 0.19/0.70 % (22937)Memory used [KB]: 8443
% 0.19/0.70 % (22937)Time elapsed: 0.028 s
% 0.19/0.70 % (22937)Instructions burned: 52 (million)
% 0.19/0.70 % (22937)------------------------------
% 0.19/0.70 % (22937)------------------------------
% 0.19/0.70 % (22948)Instruction limit reached!
% 0.19/0.70 % (22948)------------------------------
% 0.19/0.70 % (22948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.70 % (22948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.70 % (22948)Termination reason: Unknown
% 0.19/0.70 % (22948)Termination phase: Saturation
% 0.19/0.70
% 0.19/0.70 % (22948)Memory used [KB]: 10618
% 0.19/0.70 % (22948)Time elapsed: 0.036 s
% 0.19/0.70 % (22948)Instructions burned: 68 (million)
% 0.19/0.70 % (22948)------------------------------
% 0.19/0.70 % (22948)------------------------------
% 0.19/0.71 % (22964)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)
% 0.19/0.71 % (22943)Instruction limit reached!
% 0.19/0.71 % (22943)------------------------------
% 0.19/0.71 % (22943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.71 % (22943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.71 % (22943)Termination reason: Unknown
% 0.19/0.71 % (22943)Termination phase: Saturation
% 0.19/0.71
% 0.19/0.71 % (22943)Memory used [KB]: 3965
% 0.19/0.71 % (22943)Time elapsed: 0.028 s
% 0.19/0.71 % (22943)Instructions burned: 51 (million)
% 0.19/0.71 % (22943)------------------------------
% 0.19/0.71 % (22943)------------------------------
% 0.19/0.71 % (22950)Instruction limit reached!
% 0.19/0.71 % (22950)------------------------------
% 0.19/0.71 % (22950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.71 % (22950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.71 % (22950)Termination reason: Unknown
% 0.19/0.71 % (22950)Termination phase: Saturation
% 0.19/0.71
% 0.19/0.71 % (22950)Memory used [KB]: 8443
% 0.19/0.71 % (22950)Time elapsed: 0.206 s
% 0.19/0.71 % (22950)Instructions burned: 99 (million)
% 0.19/0.71 % (22950)------------------------------
% 0.19/0.71 % (22950)------------------------------
% 0.19/0.72 % (22944)Instruction limit reached!
% 0.19/0.72 % (22944)------------------------------
% 0.19/0.72 % (22944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.72 % (22944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.72 % (22944)Termination reason: Unknown
% 0.19/0.72 % (22944)Termination phase: Saturation
% 0.19/0.72
% 0.19/0.72 % (22944)Memory used [KB]: 8315
% 0.19/0.72 % (22944)Time elapsed: 0.028 s
% 0.19/0.72 % (22944)Instructions burned: 51 (million)
% 0.19/0.72 % (22944)------------------------------
% 0.19/0.72 % (22944)------------------------------
% 0.19/0.72 % (22935)Instruction limit reached!
% 0.19/0.72 % (22935)------------------------------
% 0.19/0.72 % (22935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.72 % (22935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.72 % (22935)Termination reason: Unknown
% 0.19/0.72 % (22935)Termination phase: Saturation
% 0.19/0.72
% 0.19/0.72 % (22935)Memory used [KB]: 8443
% 0.19/0.72 % (22935)Time elapsed: 0.029 s
% 0.19/0.72 % (22935)Instructions burned: 51 (million)
% 0.19/0.72 % (22935)------------------------------
% 0.19/0.72 % (22935)------------------------------
% 0.19/0.74 % (22951)Instruction limit reached!
% 0.19/0.74 % (22951)------------------------------
% 0.19/0.74 % (22951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.74 % (22951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.74 % (22951)Termination reason: Unknown
% 0.19/0.74 % (22951)Termination phase: Blocked clause elimination
% 0.19/0.74
% 0.19/0.74 % (22951)Memory used [KB]: 4093
% 0.19/0.74 % (22951)Time elapsed: 0.031 s
% 0.19/0.74 % (22951)Instructions burned: 59 (million)
% 0.19/0.74 % (22951)------------------------------
% 0.19/0.74 % (22951)------------------------------
% 0.19/0.75 % (22960)Instruction limit reached!
% 0.19/0.75 % (22960)------------------------------
% 0.19/0.75 % (22960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.75 % (22960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.75 % (22960)Termination reason: Unknown
% 0.19/0.75 % (22960)Termination phase: Saturation
% 0.19/0.75
% 0.19/0.75 % (22960)Memory used [KB]: 10746
% 0.19/0.75 % (22960)Time elapsed: 0.038 s
% 0.19/0.75 % (22960)Instructions burned: 69 (million)
% 0.19/0.75 % (22960)------------------------------
% 0.19/0.75 % (22960)------------------------------
% 0.19/0.75 % (22949)Instruction limit reached!
% 0.19/0.75 % (22949)------------------------------
% 0.19/0.75 % (22949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.75 % (22949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.75 % (22949)Termination reason: Unknown
% 0.19/0.75 % (22949)Termination phase: Saturation
% 0.19/0.75
% 0.19/0.75 % (22949)Memory used [KB]: 4093
% 0.19/0.75 % (22949)Time elapsed: 0.038 s
% 0.19/0.75 % (22949)Instructions burned: 75 (million)
% 0.19/0.75 % (22949)------------------------------
% 0.19/0.75 % (22949)------------------------------
% 0.19/0.80 % (22966)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)
% 0.19/0.80 % (22965)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 (2996ds/211Mi)
% 2.94/0.81 % (22967)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.13/0.83 % (22947)Instruction limit reached!
% 3.13/0.83 % (22947)------------------------------
% 3.13/0.83 % (22947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.83 % (22946)Instruction limit reached!
% 3.13/0.83 % (22946)------------------------------
% 3.13/0.83 % (22946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.83 % (22946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.83 % (22947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.83 % (22946)Termination reason: Unknown
% 3.13/0.83 % (22947)Termination reason: Unknown
% 3.13/0.83 % (22946)Termination phase: Saturation
% 3.13/0.83 % (22947)Termination phase: Saturation
% 3.13/0.83
% 3.13/0.83
% 3.13/0.83 % (22946)Memory used [KB]: 9210
% 3.13/0.83 % (22947)Memory used [KB]: 9083
% 3.13/0.83 % (22946)Time elapsed: 0.059 s
% 3.13/0.83 % (22947)Time elapsed: 0.058 s
% 3.13/0.83 % (22946)Instructions burned: 101 (million)
% 3.13/0.83 % (22947)Instructions burned: 99 (million)
% 3.13/0.83 % (22946)------------------------------
% 3.13/0.83 % (22946)------------------------------
% 3.13/0.83 % (22947)------------------------------
% 3.13/0.83 % (22947)------------------------------
% 3.13/0.83 % (22953)Instruction limit reached!
% 3.13/0.83 % (22953)------------------------------
% 3.13/0.83 % (22953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.83 % (22953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.83 % (22953)Termination reason: Unknown
% 3.13/0.83 % (22953)Termination phase: Saturation
% 3.13/0.83
% 3.13/0.83 % (22953)Memory used [KB]: 4477
% 3.13/0.83 % (22953)Time elapsed: 0.053 s
% 3.13/0.83 % (22953)Instructions burned: 100 (million)
% 3.13/0.83 % (22953)------------------------------
% 3.13/0.83 % (22953)------------------------------
% 3.13/0.84 % (22945)Instruction limit reached!
% 3.13/0.84 % (22945)------------------------------
% 3.13/0.84 % (22945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.84 % (22945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.84 % (22945)Termination reason: Unknown
% 3.13/0.84 % (22945)Termination phase: Saturation
% 3.13/0.84
% 3.13/0.84 % (22945)Memory used [KB]: 9210
% 3.13/0.84 % (22945)Time elapsed: 0.340 s
% 3.13/0.84 % (22945)Instructions burned: 101 (million)
% 3.13/0.84 % (22945)------------------------------
% 3.13/0.84 % (22945)------------------------------
% 3.13/0.84 % (22971)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)
% 3.13/0.84 % (22952)Instruction limit reached!
% 3.13/0.84 % (22952)------------------------------
% 3.13/0.84 % (22952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.84 % (22952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.84 % (22952)Termination reason: Unknown
% 3.13/0.84 % (22952)Termination phase: Saturation
% 3.13/0.84
% 3.13/0.84 % (22952)Memory used [KB]: 9338
% 3.13/0.84 % (22952)Time elapsed: 0.060 s
% 3.13/0.84 % (22952)Instructions burned: 100 (million)
% 3.13/0.84 % (22952)------------------------------
% 3.13/0.84 % (22952)------------------------------
% 3.13/0.84 % (22972)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)
% 3.31/0.85 % (22969)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)
% 3.31/0.85 % (22970)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)
% 3.31/0.85 % (22974)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)
% 3.31/0.86 % (22968)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.31/0.86 % (22975)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)
% 3.31/0.88 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.31/0.88 % (22973)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)
% 3.31/0.89 % (22977)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)
% 3.31/0.90 % (22978)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)
% 3.31/0.91 % (22976)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.31/0.92 % (22955)Instruction limit reached!
% 3.31/0.92 % (22955)------------------------------
% 3.31/0.92 % (22955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.92 % (22955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.92 % (22955)Termination reason: Unknown
% 3.31/0.92 % (22955)Termination phase: Saturation
% 3.31/0.92
% 3.31/0.92 % (22955)Memory used [KB]: 9722
% 3.31/0.92 % (22955)Time elapsed: 0.104 s
% 3.31/0.92 % (22955)Instructions burned: 138 (million)
% 3.31/0.92 % (22955)------------------------------
% 3.31/0.92 % (22955)------------------------------
% 3.77/0.95 % (22966)Instruction limit reached!
% 3.77/0.95 % (22966)------------------------------
% 3.77/0.95 % (22966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.77/0.95 % (22966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.77/0.95 % (22966)Termination reason: Unknown
% 3.77/0.95 % (22966)Termination phase: Saturation
% 3.77/0.95
% 3.77/0.95 % (22966)Memory used [KB]: 8571
% 3.77/0.95 % (22966)Time elapsed: 0.236 s
% 3.77/0.95 % (22966)Instructions burned: 90 (million)
% 3.77/0.95 % (22966)------------------------------
% 3.77/0.95 % (22966)------------------------------
% 3.77/0.96 % (22954)Instruction limit reached!
% 3.77/0.96 % (22954)------------------------------
% 3.77/0.96 % (22954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.77/0.96 % (22954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.77/0.96 % (22954)Termination reason: Unknown
% 3.77/0.96 % (22954)Termination phase: Saturation
% 3.77/0.96
% 3.77/0.96 % (22954)Memory used [KB]: 9850
% 3.77/0.96 % (22954)Time elapsed: 0.098 s
% 3.77/0.96 % (22954)Instructions burned: 176 (million)
% 3.77/0.96 % (22954)------------------------------
% 3.77/0.96 % (22954)------------------------------
% 3.77/0.96 % (22979)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.77/0.97 % (22971)Instruction limit reached!
% 3.77/0.97 % (22971)------------------------------
% 3.77/0.97 % (22971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.77/0.97 % (22971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.77/0.97 % (22971)Termination reason: Unknown
% 3.77/0.97 % (22971)Termination phase: Saturation
% 3.77/0.97
% 3.77/0.97 % (22971)Memory used [KB]: 10618
% 3.77/0.97 % (22971)Time elapsed: 0.037 s
% 3.77/0.97 % (22971)Instructions burned: 70 (million)
% 3.77/0.97 % (22971)------------------------------
% 3.77/0.97 % (22971)------------------------------
% 3.77/0.97 % (22983)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)
% 3.77/0.97 % (22981)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)
% 4.11/0.97 % (22982)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)
% 4.11/0.97 % (22961)Instruction limit reached!
% 4.11/0.97 % (22961)------------------------------
% 4.11/0.97 % (22961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/0.98 % (22961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/0.98 % (22961)Termination reason: Unknown
% 4.11/0.98 % (22961)Termination phase: Saturation
% 4.11/0.98
% 4.11/0.98 % (22961)Memory used [KB]: 5373
% 4.11/0.98 % (22961)Time elapsed: 0.472 s
% 4.11/0.98 % (22961)Instructions burned: 177 (million)
% 4.11/0.98 % (22961)------------------------------
% 4.11/0.98 % (22961)------------------------------
% 4.11/0.98 % (22980)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)
% 4.11/1.01 % (22974)Instruction limit reached!
% 4.11/1.01 % (22974)------------------------------
% 4.11/1.01 % (22974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.04 % (22974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.04 % (22974)Termination reason: Unknown
% 4.11/1.04 % (22974)Termination phase: Saturation
% 4.11/1.04
% 4.11/1.04 % (22974)Memory used [KB]: 8571
% 4.11/1.04 % (22974)Time elapsed: 0.251 s
% 4.11/1.04 % (22974)Instructions burned: 92 (million)
% 4.11/1.04 % (22974)------------------------------
% 4.11/1.04 % (22974)------------------------------
% 4.11/1.04 % (22984)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.67/1.10 % (22986)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 4.67/1.10 % (22981)Instruction limit reached!
% 4.67/1.10 % (22981)------------------------------
% 4.67/1.10 % (22981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.67/1.10 % (22981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.67/1.10 % (22981)Termination reason: Unknown
% 4.67/1.10 % (22981)Termination phase: Saturation
% 4.67/1.10
% 4.67/1.10 % (22981)Memory used [KB]: 10618
% 4.67/1.10 % (22981)Time elapsed: 0.049 s
% 4.67/1.10 % (22981)Instructions burned: 68 (million)
% 4.67/1.10 % (22981)------------------------------
% 4.67/1.10 % (22981)------------------------------
% 4.67/1.11 % (22988)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 4.67/1.11 % (22987)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 5.09/1.14 % (22985)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 5.09/1.19 % (22989)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)
% 5.09/1.20 % (22965)Instruction limit reached!
% 5.09/1.20 % (22965)------------------------------
% 5.09/1.20 % (22965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.09/1.20 % (22965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.09/1.20 % (22965)Termination reason: Unknown
% 5.09/1.20 % (22965)Termination phase: Saturation
% 5.09/1.20
% 5.09/1.20 % (22965)Memory used [KB]: 5884
% 5.09/1.20 % (22965)Time elapsed: 0.484 s
% 5.09/1.20 % (22965)Instructions burned: 211 (million)
% 5.09/1.20 % (22965)------------------------------
% 5.09/1.20 % (22965)------------------------------
% 5.46/1.24 % (22990)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)
% 5.46/1.24 % (22986)Instruction limit reached!
% 5.46/1.24 % (22986)------------------------------
% 5.46/1.24 % (22986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.46/1.24 % (22986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.46/1.24 % (22986)Termination reason: Unknown
% 5.46/1.24 % (22986)Termination phase: Saturation
% 5.46/1.24
% 5.46/1.24 % (22986)Memory used [KB]: 8699
% 5.46/1.24 % (22986)Time elapsed: 0.270 s
% 5.46/1.24 % (22986)Instructions burned: 90 (million)
% 5.46/1.24 % (22986)------------------------------
% 5.46/1.24 % (22986)------------------------------
% 5.77/1.28 % (22963)Instruction limit reached!
% 5.77/1.28 % (22963)------------------------------
% 5.77/1.28 % (22963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.77/1.28 % (22963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.77/1.28 % (22963)Termination reason: Unknown
% 5.77/1.28 % (22963)Termination phase: Saturation
% 5.77/1.28
% 5.77/1.28 % (22963)Memory used [KB]: 12025
% 5.77/1.28 % (22963)Time elapsed: 0.774 s
% 5.77/1.28 % (22963)Instructions burned: 355 (million)
% 5.77/1.28 % (22963)------------------------------
% 5.77/1.28 % (22963)------------------------------
% 5.77/1.34 % (22991)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 7.36/1.38 % (22964)Instruction limit reached!
% 7.36/1.38 % (22964)------------------------------
% 7.36/1.38 % (22964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.36/1.38 % (22964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.36/1.38 % (22964)Termination reason: Unknown
% 7.36/1.38 % (22964)Termination phase: Saturation
% 7.36/1.38
% 7.36/1.38 % (22964)Memory used [KB]: 11001
% 7.36/1.38 % (22964)Time elapsed: 0.640 s
% 7.36/1.38 % (22964)Instructions burned: 388 (million)
% 7.36/1.38 % (22964)------------------------------
% 7.36/1.38 % (22964)------------------------------
% 7.36/1.40 % (22992)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)
% 7.63/1.41 % (22993)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 7.63/1.41 % (22956)Instruction limit reached!
% 7.63/1.41 % (22956)------------------------------
% 7.63/1.41 % (22956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.41 % (22956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.63/1.41 % (22956)Termination reason: Unknown
% 7.63/1.41 % (22956)Termination phase: Saturation
% 7.63/1.41
% 7.63/1.41 % (22956)Memory used [KB]: 6396
% 7.63/1.41 % (22956)Time elapsed: 0.904 s
% 7.63/1.41 % (22956)Instructions burned: 498 (million)
% 7.63/1.41 % (22956)------------------------------
% 7.63/1.41 % (22956)------------------------------
% 7.63/1.43 % (22962)Instruction limit reached!
% 7.63/1.43 % (22962)------------------------------
% 7.63/1.43 % (22962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.63/1.43 % (22962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.63/1.43 % (22962)Termination reason: Unknown
% 7.63/1.43 % (22962)Termination phase: Saturation
% 7.63/1.43
% 7.63/1.43 % (22962)Memory used [KB]: 15223
% 7.63/1.43 % (22962)Time elapsed: 0.918 s
% 7.63/1.43 % (22962)Instructions burned: 439 (million)
% 7.63/1.43 % (22962)------------------------------
% 7.63/1.43 % (22962)------------------------------
% 8.00/1.46 % (22957)Instruction limit reached!
% 8.00/1.46 % (22957)------------------------------
% 8.00/1.46 % (22957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.00/1.46 % (22957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.00/1.46 % (22957)Termination reason: Unknown
% 8.00/1.46 % (22957)Termination phase: Saturation
% 8.00/1.46
% 8.00/1.46 % (22957)Memory used [KB]: 12281
% 8.00/1.46 % (22957)Time elapsed: 0.968 s
% 8.00/1.46 % (22957)Instructions burned: 467 (million)
% 8.00/1.46 % (22957)------------------------------
% 8.00/1.46 % (22957)------------------------------
% 8.00/1.52 TRYING [1]
% 8.00/1.53 % (22994)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.68/1.55 % (22977)First to succeed.
% 8.68/1.55 % (22995)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)
% 8.68/1.56 % (22959)Instruction limit reached!
% 8.68/1.56 % (22959)------------------------------
% 8.68/1.56 % (22959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/1.56 % (22959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/1.56 % (22959)Termination reason: Unknown
% 8.68/1.56 % (22959)Termination phase: Saturation
% 8.68/1.56
% 8.68/1.56 % (22959)Memory used [KB]: 12537
% 8.68/1.56 % (22959)Time elapsed: 1.062 s
% 8.68/1.56 % (22959)Instructions burned: 500 (million)
% 8.68/1.56 % (22959)------------------------------
% 8.68/1.56 % (22959)------------------------------
% 8.68/1.57 % (22977)Refutation found. Thanks to Tanya!
% 8.68/1.57 % SZS status Unsatisfiable for theBenchmark
% 8.68/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 8.68/1.57 % (22977)------------------------------
% 8.68/1.57 % (22977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.68/1.57 % (22977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.68/1.57 % (22977)Termination reason: Refutation
% 8.68/1.57
% 8.68/1.57 % (22977)Memory used [KB]: 5756
% 8.68/1.57 % (22977)Time elapsed: 0.759 s
% 8.68/1.57 % (22977)Instructions burned: 415 (million)
% 8.68/1.57 % (22977)------------------------------
% 8.68/1.57 % (22977)------------------------------
% 8.68/1.57 % (22933)Success in time 1.224 s
%------------------------------------------------------------------------------